[
  {
    "sample_id": 0,
    "img_path": "images/000000.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000000.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T4_1_2"
  },
  {
    "sample_id": 1,
    "img_path": "images/000001.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000001.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "Y5_3_1"
  },
  {
    "sample_id": 2,
    "img_path": "images/000002.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000002.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T5_0_3"
  },
  {
    "sample_id": 3,
    "img_path": "images/000003.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000003.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "V5_3_2"
  },
  {
    "sample_id": 4,
    "img_path": "images/000004.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000004.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "W5_2_1"
  },
  {
    "sample_id": 5,
    "img_path": "images/000005.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000005.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "F5_3_1"
  },
  {
    "sample_id": 6,
    "img_path": "images/000006.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000006.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_3_1"
  },
  {
    "sample_id": 7,
    "img_path": "images/000007.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000007.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_1_3"
  },
  {
    "sample_id": 8,
    "img_path": "images/000008.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000008.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_1_2"
  },
  {
    "sample_id": 9,
    "img_path": "images/000009.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000009.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "F5_1_3"
  },
  {
    "sample_id": 10,
    "img_path": "images/000010.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000010.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "V5_2_2"
  },
  {
    "sample_id": 11,
    "img_path": "images/000011.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000011.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "T5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "T5_1_2"
  },
  {
    "sample_id": 12,
    "img_path": "images/000012.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000012.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_cross_0_2"
  },
  {
    "sample_id": 13,
    "img_path": "images/000013.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000013.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "J_3_3"
  },
  {
    "sample_id": 14,
    "img_path": "images/000014.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000014.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "J_0_3"
  },
  {
    "sample_id": 15,
    "img_path": "images/000015.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000015.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "J_2_1"
  },
  {
    "sample_id": 16,
    "img_path": "images/000016.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000016.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_3"
  },
  {
    "sample_id": 17,
    "img_path": "images/000017.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000017.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_2_2"
  },
  {
    "sample_id": 18,
    "img_path": "images/000018.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000018.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Ubig_3_3"
  },
  {
    "sample_id": 19,
    "img_path": "images/000019.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000019.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "L4_3_1"
  },
  {
    "sample_id": 20,
    "img_path": "images/000020.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000020.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T5_1_2"
  },
  {
    "sample_id": 21,
    "img_path": "images/000021.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000021.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "V5_2_2"
  },
  {
    "sample_id": 22,
    "img_path": "images/000022.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000022.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_3"
  },
  {
    "sample_id": 23,
    "img_path": "images/000023.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000023.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Tbig_1_1"
  },
  {
    "sample_id": 24,
    "img_path": "images/000024.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000024.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "N5_2_1"
  },
  {
    "sample_id": 25,
    "img_path": "images/000025.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000025.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L4_2_1"
  },
  {
    "sample_id": 26,
    "img_path": "images/000026.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000026.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_0_3"
  },
  {
    "sample_id": 27,
    "img_path": "images/000027.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000027.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_2"
  },
  {
    "sample_id": 28,
    "img_path": "images/000028.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000028.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_cross_0_3"
  },
  {
    "sample_id": 29,
    "img_path": "images/000029.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000029.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "W5_3_2"
  },
  {
    "sample_id": 30,
    "img_path": "images/000030.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000030.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_2"
  },
  {
    "sample_id": 31,
    "img_path": "images/000031.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000031.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "J_3_1"
  },
  {
    "sample_id": 32,
    "img_path": "images/000032.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000032.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_cross_1_3"
  },
  {
    "sample_id": 33,
    "img_path": "images/000033.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000033.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "Y5_2_2"
  },
  {
    "sample_id": 34,
    "img_path": "images/000034.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000034.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_0_3"
  },
  {
    "sample_id": 35,
    "img_path": "images/000035.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000035.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "L4_2_1"
  },
  {
    "sample_id": 36,
    "img_path": "images/000036.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000036.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_2_3"
  },
  {
    "sample_id": 37,
    "img_path": "images/000037.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000037.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_2_3"
  },
  {
    "sample_id": 38,
    "img_path": "images/000038.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000038.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T5_3_2"
  },
  {
    "sample_id": 39,
    "img_path": "images/000039.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000039.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "J_2_2"
  },
  {
    "sample_id": 40,
    "img_path": "images/000040.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000040.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "F5_1_3"
  },
  {
    "sample_id": 41,
    "img_path": "images/000041.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000041.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_1_1"
  },
  {
    "sample_id": 42,
    "img_path": "images/000042.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000042.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "P5_0_3"
  },
  {
    "sample_id": 43,
    "img_path": "images/000043.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000043.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "L4_3_1"
  },
  {
    "sample_id": 44,
    "img_path": "images/000044.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000044.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_3_1"
  },
  {
    "sample_id": 45,
    "img_path": "images/000045.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000045.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "V5_2_3"
  },
  {
    "sample_id": 46,
    "img_path": "images/000046.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000046.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_1_1"
  },
  {
    "sample_id": 47,
    "img_path": "images/000047.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000047.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "Y5_3_3"
  },
  {
    "sample_id": 48,
    "img_path": "images/000048.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000048.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "F5_1_3"
  },
  {
    "sample_id": 49,
    "img_path": "images/000049.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000049.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "Y5_0_1"
  },
  {
    "sample_id": 50,
    "img_path": "images/000050.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000050.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "V5_2_3"
  },
  {
    "sample_id": 51,
    "img_path": "images/000051.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000051.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_2"
  },
  {
    "sample_id": 52,
    "img_path": "images/000052.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000052.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_2_2"
  },
  {
    "sample_id": 53,
    "img_path": "images/000053.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000053.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T4_3_2"
  },
  {
    "sample_id": 54,
    "img_path": "images/000054.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000054.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "W5_0_2"
  },
  {
    "sample_id": 55,
    "img_path": "images/000055.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000055.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "L4_1_1"
  },
  {
    "sample_id": 56,
    "img_path": "images/000056.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000056.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "U5_3_3"
  },
  {
    "sample_id": 57,
    "img_path": "images/000057.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000057.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_1_2"
  },
  {
    "sample_id": 58,
    "img_path": "images/000058.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000058.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_0_1"
  },
  {
    "sample_id": 59,
    "img_path": "images/000059.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000059.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_0_1"
  },
  {
    "sample_id": 60,
    "img_path": "images/000060.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000060.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_1"
  },
  {
    "sample_id": 61,
    "img_path": "images/000061.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000061.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_1_1"
  },
  {
    "sample_id": 62,
    "img_path": "images/000062.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000062.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_1_2"
  },
  {
    "sample_id": 63,
    "img_path": "images/000063.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000063.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_1"
  },
  {
    "sample_id": 64,
    "img_path": "images/000064.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000064.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "W5_1_1"
  },
  {
    "sample_id": 65,
    "img_path": "images/000065.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000065.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "W5_3_3"
  },
  {
    "sample_id": 66,
    "img_path": "images/000066.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000066.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L5_2_1"
  },
  {
    "sample_id": 67,
    "img_path": "images/000067.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000067.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "F5_1_1"
  },
  {
    "sample_id": 68,
    "img_path": "images/000068.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000068.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "P5_0_3"
  },
  {
    "sample_id": 69,
    "img_path": "images/000069.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000069.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_0_1"
  },
  {
    "sample_id": 70,
    "img_path": "images/000070.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000070.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "Y5_3_2"
  },
  {
    "sample_id": 71,
    "img_path": "images/000071.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000071.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "Y5_3_1"
  },
  {
    "sample_id": 72,
    "img_path": "images/000072.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000072.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "P5_3_3"
  },
  {
    "sample_id": 73,
    "img_path": "images/000073.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000073.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_2_2"
  },
  {
    "sample_id": 74,
    "img_path": "images/000074.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000074.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_1_2"
  },
  {
    "sample_id": 75,
    "img_path": "images/000075.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000075.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "F5_2_2"
  },
  {
    "sample_id": 76,
    "img_path": "images/000076.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000076.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_2"
  },
  {
    "sample_id": 77,
    "img_path": "images/000077.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000077.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_cross_3_2"
  },
  {
    "sample_id": 78,
    "img_path": "images/000078.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000078.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_0_3"
  },
  {
    "sample_id": 79,
    "img_path": "images/000079.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000079.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "P5_0_2"
  },
  {
    "sample_id": 80,
    "img_path": "images/000080.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000080.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_2_1"
  },
  {
    "sample_id": 81,
    "img_path": "images/000081.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000081.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_2_1"
  },
  {
    "sample_id": 82,
    "img_path": "images/000082.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000082.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "J_2_3"
  },
  {
    "sample_id": 83,
    "img_path": "images/000083.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000083.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "N5_3_3"
  },
  {
    "sample_id": 84,
    "img_path": "images/000084.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000084.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "N5_3_3"
  },
  {
    "sample_id": 85,
    "img_path": "images/000085.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000085.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "F5_3_2"
  },
  {
    "sample_id": 86,
    "img_path": "images/000086.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000086.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "P5_1_3"
  },
  {
    "sample_id": 87,
    "img_path": "images/000087.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000087.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "L4_3_2"
  },
  {
    "sample_id": 88,
    "img_path": "images/000088.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000088.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "U5_1_3"
  },
  {
    "sample_id": 89,
    "img_path": "images/000089.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000089.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "N5_1_1"
  },
  {
    "sample_id": 90,
    "img_path": "images/000090.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000090.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_cross_1_3"
  },
  {
    "sample_id": 91,
    "img_path": "images/000091.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000091.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_3"
  },
  {
    "sample_id": 92,
    "img_path": "images/000092.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000092.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_0_2"
  },
  {
    "sample_id": 93,
    "img_path": "images/000093.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000093.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_2_2"
  },
  {
    "sample_id": 94,
    "img_path": "images/000094.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000094.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_2_2"
  },
  {
    "sample_id": 95,
    "img_path": "images/000095.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000095.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "U5_3_3"
  },
  {
    "sample_id": 96,
    "img_path": "images/000096.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000096.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L5_0_2"
  },
  {
    "sample_id": 97,
    "img_path": "images/000097.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000097.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "N5_3_2"
  },
  {
    "sample_id": 98,
    "img_path": "images/000098.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000098.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "J_0_3"
  },
  {
    "sample_id": 99,
    "img_path": "images/000099.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000099.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_1_3"
  },
  {
    "sample_id": 100,
    "img_path": "images/000100.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000100.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_2"
  },
  {
    "sample_id": 101,
    "img_path": "images/000101.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000101.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "F5_1_3"
  },
  {
    "sample_id": 102,
    "img_path": "images/000102.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000102.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_cross_2_3"
  },
  {
    "sample_id": 103,
    "img_path": "images/000103.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000103.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "W5_0_3"
  },
  {
    "sample_id": 104,
    "img_path": "images/000104.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000104.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_3_2"
  },
  {
    "sample_id": 105,
    "img_path": "images/000105.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000105.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "Y5_0_2"
  },
  {
    "sample_id": 106,
    "img_path": "images/000106.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000106.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L4_3_2"
  },
  {
    "sample_id": 107,
    "img_path": "images/000107.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000107.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "T5_2_1"
  },
  {
    "sample_id": 108,
    "img_path": "images/000108.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000108.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T4_2_1"
  },
  {
    "sample_id": 109,
    "img_path": "images/000109.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000109.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "P5_0_2"
  },
  {
    "sample_id": 110,
    "img_path": "images/000110.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000110.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T4_2_3"
  },
  {
    "sample_id": 111,
    "img_path": "images/000111.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000111.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_1"
  },
  {
    "sample_id": 112,
    "img_path": "images/000112.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000112.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_1_1"
  },
  {
    "sample_id": 113,
    "img_path": "images/000113.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000113.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "V5_0_3"
  },
  {
    "sample_id": 114,
    "img_path": "images/000114.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000114.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "V5_1_3"
  },
  {
    "sample_id": 115,
    "img_path": "images/000115.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000115.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_2_2"
  },
  {
    "sample_id": 116,
    "img_path": "images/000116.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000116.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_2_3"
  },
  {
    "sample_id": 117,
    "img_path": "images/000117.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000117.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_2"
  },
  {
    "sample_id": 118,
    "img_path": "images/000118.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000118.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "L4_3_2"
  },
  {
    "sample_id": 119,
    "img_path": "images/000119.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000119.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "Y5_1_2"
  },
  {
    "sample_id": 120,
    "img_path": "images/000120.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000120.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Ubig_3_1"
  },
  {
    "sample_id": 121,
    "img_path": "images/000121.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000121.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "L4_1_3"
  },
  {
    "sample_id": 122,
    "img_path": "images/000122.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000122.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Ubig_3_1"
  },
  {
    "sample_id": 123,
    "img_path": "images/000123.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000123.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "J_1_2"
  },
  {
    "sample_id": 124,
    "img_path": "images/000124.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000124.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "W5_3_3"
  },
  {
    "sample_id": 125,
    "img_path": "images/000125.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000125.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_3"
  },
  {
    "sample_id": 126,
    "img_path": "images/000126.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000126.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "F5_1_3"
  },
  {
    "sample_id": 127,
    "img_path": "images/000127.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000127.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "J_0_2"
  },
  {
    "sample_id": 128,
    "img_path": "images/000128.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000128.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_1_2"
  },
  {
    "sample_id": 129,
    "img_path": "images/000129.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000129.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_1_1"
  },
  {
    "sample_id": 130,
    "img_path": "images/000130.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000130.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "P5_2_1"
  },
  {
    "sample_id": 131,
    "img_path": "images/000131.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000131.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "T4_0_3"
  },
  {
    "sample_id": 132,
    "img_path": "images/000132.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000132.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_3_3"
  },
  {
    "sample_id": 133,
    "img_path": "images/000133.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000133.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "T5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_1_3"
  },
  {
    "sample_id": 134,
    "img_path": "images/000134.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000134.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_2_2"
  },
  {
    "sample_id": 135,
    "img_path": "images/000135.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000135.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_0_2"
  },
  {
    "sample_id": 136,
    "img_path": "images/000136.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000136.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_1_3"
  },
  {
    "sample_id": 137,
    "img_path": "images/000137.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000137.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_1_2"
  },
  {
    "sample_id": 138,
    "img_path": "images/000138.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000138.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_0_2"
  },
  {
    "sample_id": 139,
    "img_path": "images/000139.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000139.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Lbig_3_1"
  },
  {
    "sample_id": 140,
    "img_path": "images/000140.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000140.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_3_2"
  },
  {
    "sample_id": 141,
    "img_path": "images/000141.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000141.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_0_2"
  },
  {
    "sample_id": 142,
    "img_path": "images/000142.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000142.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "V5_3_3"
  },
  {
    "sample_id": 143,
    "img_path": "images/000143.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000143.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Ubig_3_2"
  },
  {
    "sample_id": 144,
    "img_path": "images/000144.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000144.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_3"
  },
  {
    "sample_id": 145,
    "img_path": "images/000145.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000145.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_0_3"
  },
  {
    "sample_id": 146,
    "img_path": "images/000146.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000146.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "L4_0_2"
  },
  {
    "sample_id": 147,
    "img_path": "images/000147.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000147.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Sbig_3_1"
  },
  {
    "sample_id": 148,
    "img_path": "images/000148.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000148.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_2_2"
  },
  {
    "sample_id": 149,
    "img_path": "images/000149.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000149.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_3_3"
  },
  {
    "sample_id": 150,
    "img_path": "images/000150.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000150.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_0_2"
  },
  {
    "sample_id": 151,
    "img_path": "images/000151.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000151.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "P5_1_2"
  },
  {
    "sample_id": 152,
    "img_path": "images/000152.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000152.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_2_3"
  },
  {
    "sample_id": 153,
    "img_path": "images/000153.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000153.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_0_2"
  },
  {
    "sample_id": 154,
    "img_path": "images/000154.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000154.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "U5_3_3"
  },
  {
    "sample_id": 155,
    "img_path": "images/000155.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000155.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_3_3"
  },
  {
    "sample_id": 156,
    "img_path": "images/000156.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000156.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "Y5_1_3"
  },
  {
    "sample_id": 157,
    "img_path": "images/000157.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000157.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L5_3_1"
  },
  {
    "sample_id": 158,
    "img_path": "images/000158.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000158.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_3_2"
  },
  {
    "sample_id": 159,
    "img_path": "images/000159.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000159.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_cross_0_2"
  },
  {
    "sample_id": 160,
    "img_path": "images/000160.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000160.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_0_3"
  },
  {
    "sample_id": 161,
    "img_path": "images/000161.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000161.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_1_1"
  },
  {
    "sample_id": 162,
    "img_path": "images/000162.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000162.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_2_3"
  },
  {
    "sample_id": 163,
    "img_path": "images/000163.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000163.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "L4_2_3"
  },
  {
    "sample_id": 164,
    "img_path": "images/000164.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000164.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "L5_1_1"
  },
  {
    "sample_id": 165,
    "img_path": "images/000165.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000165.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_1_3"
  },
  {
    "sample_id": 166,
    "img_path": "images/000166.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000166.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "U5_2_3"
  },
  {
    "sample_id": 167,
    "img_path": "images/000167.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000167.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Lbig_0_1"
  },
  {
    "sample_id": 168,
    "img_path": "images/000168.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000168.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "P5_1_1"
  },
  {
    "sample_id": 169,
    "img_path": "images/000169.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000169.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_2_1"
  },
  {
    "sample_id": 170,
    "img_path": "images/000170.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000170.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "P5_3_3"
  },
  {
    "sample_id": 171,
    "img_path": "images/000171.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000171.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "J_0_2"
  },
  {
    "sample_id": 172,
    "img_path": "images/000172.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000172.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_0_1"
  },
  {
    "sample_id": 173,
    "img_path": "images/000173.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000173.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_3_2"
  },
  {
    "sample_id": 174,
    "img_path": "images/000174.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000174.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "U5_1_1"
  },
  {
    "sample_id": 175,
    "img_path": "images/000175.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000175.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "T5_0_2"
  },
  {
    "sample_id": 176,
    "img_path": "images/000176.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000176.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_1_2"
  },
  {
    "sample_id": 177,
    "img_path": "images/000177.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000177.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_2_3"
  },
  {
    "sample_id": 178,
    "img_path": "images/000178.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000178.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_1_3"
  },
  {
    "sample_id": 179,
    "img_path": "images/000179.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000179.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "N5_0_3"
  },
  {
    "sample_id": 180,
    "img_path": "images/000180.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000180.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_1_1"
  },
  {
    "sample_id": 181,
    "img_path": "images/000181.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000181.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_0_1"
  },
  {
    "sample_id": 182,
    "img_path": "images/000182.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000182.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_2"
  },
  {
    "sample_id": 183,
    "img_path": "images/000183.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000183.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_2_1"
  },
  {
    "sample_id": 184,
    "img_path": "images/000184.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000184.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T4_1_1"
  },
  {
    "sample_id": 185,
    "img_path": "images/000185.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000185.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "J_2_3"
  },
  {
    "sample_id": 186,
    "img_path": "images/000186.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000186.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_0_3"
  },
  {
    "sample_id": 187,
    "img_path": "images/000187.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000187.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "U5_1_1"
  },
  {
    "sample_id": 188,
    "img_path": "images/000188.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000188.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "U5_3_3"
  },
  {
    "sample_id": 189,
    "img_path": "images/000189.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000189.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "P5_2_2"
  },
  {
    "sample_id": 190,
    "img_path": "images/000190.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000190.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_2_3"
  },
  {
    "sample_id": 191,
    "img_path": "images/000191.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000191.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "J_2_1"
  },
  {
    "sample_id": 192,
    "img_path": "images/000192.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000192.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T5_3_3"
  },
  {
    "sample_id": 193,
    "img_path": "images/000193.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000193.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_3_3"
  },
  {
    "sample_id": 194,
    "img_path": "images/000194.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000194.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Lbig_0_3"
  },
  {
    "sample_id": 195,
    "img_path": "images/000195.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000195.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "F5_0_2"
  },
  {
    "sample_id": 196,
    "img_path": "images/000196.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000196.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_0_2"
  },
  {
    "sample_id": 197,
    "img_path": "images/000197.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000197.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_2_1"
  },
  {
    "sample_id": 198,
    "img_path": "images/000198.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000198.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_1_3"
  },
  {
    "sample_id": 199,
    "img_path": "images/000199.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000199.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "U5_2_3"
  },
  {
    "sample_id": 200,
    "img_path": "images/000200.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000200.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_1"
  },
  {
    "sample_id": 201,
    "img_path": "images/000201.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000201.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_0_1"
  },
  {
    "sample_id": 202,
    "img_path": "images/000202.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000202.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_2_3"
  },
  {
    "sample_id": 203,
    "img_path": "images/000203.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000203.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "V5_2_1"
  },
  {
    "sample_id": 204,
    "img_path": "images/000204.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000204.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_0_3"
  },
  {
    "sample_id": 205,
    "img_path": "images/000205.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000205.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T4_3_2"
  },
  {
    "sample_id": 206,
    "img_path": "images/000206.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000206.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_1_3"
  },
  {
    "sample_id": 207,
    "img_path": "images/000207.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000207.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "L4_3_1"
  },
  {
    "sample_id": 208,
    "img_path": "images/000208.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000208.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_2"
  },
  {
    "sample_id": 209,
    "img_path": "images/000209.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000209.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "U5_3_1"
  },
  {
    "sample_id": 210,
    "img_path": "images/000210.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000210.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_1"
  },
  {
    "sample_id": 211,
    "img_path": "images/000211.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000211.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "W5_2_1"
  },
  {
    "sample_id": 212,
    "img_path": "images/000212.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000212.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T4_0_1"
  },
  {
    "sample_id": 213,
    "img_path": "images/000213.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000213.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_2_3"
  },
  {
    "sample_id": 214,
    "img_path": "images/000214.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000214.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Lbig_3_3"
  },
  {
    "sample_id": 215,
    "img_path": "images/000215.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000215.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "J_0_1"
  },
  {
    "sample_id": 216,
    "img_path": "images/000216.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000216.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L4_3_2"
  },
  {
    "sample_id": 217,
    "img_path": "images/000217.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000217.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_1_2"
  },
  {
    "sample_id": 218,
    "img_path": "images/000218.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000218.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "P5_0_2"
  },
  {
    "sample_id": 219,
    "img_path": "images/000219.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000219.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "N5_1_3"
  },
  {
    "sample_id": 220,
    "img_path": "images/000220.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000220.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "T5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T5_3_3"
  },
  {
    "sample_id": 221,
    "img_path": "images/000221.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000221.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "L5_3_2"
  },
  {
    "sample_id": 222,
    "img_path": "images/000222.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000222.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "W5_3_2"
  },
  {
    "sample_id": 223,
    "img_path": "images/000223.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000223.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "V5_3_3"
  },
  {
    "sample_id": 224,
    "img_path": "images/000224.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000224.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_1_1"
  },
  {
    "sample_id": 225,
    "img_path": "images/000225.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000225.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_1_3"
  },
  {
    "sample_id": 226,
    "img_path": "images/000226.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000226.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "Y5_3_2"
  },
  {
    "sample_id": 227,
    "img_path": "images/000227.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000227.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "U5_0_1"
  },
  {
    "sample_id": 228,
    "img_path": "images/000228.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000228.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_0_2"
  },
  {
    "sample_id": 229,
    "img_path": "images/000229.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000229.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_1_1"
  },
  {
    "sample_id": 230,
    "img_path": "images/000230.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000230.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "P5_3_3"
  },
  {
    "sample_id": 231,
    "img_path": "images/000231.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000231.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "L5_0_3"
  },
  {
    "sample_id": 232,
    "img_path": "images/000232.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000232.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "V5_2_1"
  },
  {
    "sample_id": 233,
    "img_path": "images/000233.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000233.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_2_3"
  },
  {
    "sample_id": 234,
    "img_path": "images/000234.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000234.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "L4_1_1"
  },
  {
    "sample_id": 235,
    "img_path": "images/000235.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000235.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "L4_3_1"
  },
  {
    "sample_id": 236,
    "img_path": "images/000236.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000236.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_0_3"
  },
  {
    "sample_id": 237,
    "img_path": "images/000237.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000237.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_0_2"
  },
  {
    "sample_id": 238,
    "img_path": "images/000238.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000238.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_1_3"
  },
  {
    "sample_id": 239,
    "img_path": "images/000239.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000239.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_3"
  },
  {
    "sample_id": 240,
    "img_path": "images/000240.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000240.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "U5_3_2"
  },
  {
    "sample_id": 241,
    "img_path": "images/000241.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000241.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "W5_0_2"
  },
  {
    "sample_id": 242,
    "img_path": "images/000242.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000242.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_1_2"
  },
  {
    "sample_id": 243,
    "img_path": "images/000243.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000243.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Tbig_3_2"
  },
  {
    "sample_id": 244,
    "img_path": "images/000244.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000244.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "T5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_2_3"
  },
  {
    "sample_id": 245,
    "img_path": "images/000245.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000245.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_2_2"
  },
  {
    "sample_id": 246,
    "img_path": "images/000246.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000246.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_cross_1_1"
  },
  {
    "sample_id": 247,
    "img_path": "images/000247.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000247.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Tbig_0_1"
  },
  {
    "sample_id": 248,
    "img_path": "images/000248.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000248.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_0_2"
  },
  {
    "sample_id": 249,
    "img_path": "images/000249.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000249.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_2"
  },
  {
    "sample_id": 250,
    "img_path": "images/000250.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000250.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_0_1"
  },
  {
    "sample_id": 251,
    "img_path": "images/000251.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000251.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_1"
  },
  {
    "sample_id": 252,
    "img_path": "images/000252.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000252.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "L5_2_3"
  },
  {
    "sample_id": 253,
    "img_path": "images/000253.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000253.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_1_3"
  },
  {
    "sample_id": 254,
    "img_path": "images/000254.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000254.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "U5_3_3"
  },
  {
    "sample_id": 255,
    "img_path": "images/000255.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000255.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Tbig_0_1"
  },
  {
    "sample_id": 256,
    "img_path": "images/000256.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000256.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_0_1"
  },
  {
    "sample_id": 257,
    "img_path": "images/000257.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000257.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L4_3_2"
  },
  {
    "sample_id": 258,
    "img_path": "images/000258.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000258.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_3_3"
  },
  {
    "sample_id": 259,
    "img_path": "images/000259.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000259.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_cross_3_1"
  },
  {
    "sample_id": 260,
    "img_path": "images/000260.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000260.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "U5_0_1"
  },
  {
    "sample_id": 261,
    "img_path": "images/000261.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000261.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "U5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "U5_2_1"
  },
  {
    "sample_id": 262,
    "img_path": "images/000262.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000262.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_0_2"
  },
  {
    "sample_id": 263,
    "img_path": "images/000263.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000263.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "L5_3_3"
  },
  {
    "sample_id": 264,
    "img_path": "images/000264.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000264.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "P5_3_2"
  },
  {
    "sample_id": 265,
    "img_path": "images/000265.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000265.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "P5_0_3"
  },
  {
    "sample_id": 266,
    "img_path": "images/000266.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000266.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "N5_3_1"
  },
  {
    "sample_id": 267,
    "img_path": "images/000267.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000267.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "V5_0_2"
  },
  {
    "sample_id": 268,
    "img_path": "images/000268.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000268.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "Y5_1_1"
  },
  {
    "sample_id": 269,
    "img_path": "images/000269.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000269.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_2_1"
  },
  {
    "sample_id": 270,
    "img_path": "images/000270.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000270.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "F5_3_1"
  },
  {
    "sample_id": 271,
    "img_path": "images/000271.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000271.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "L5_0_3"
  },
  {
    "sample_id": 272,
    "img_path": "images/000272.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000272.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "L5_0_3"
  },
  {
    "sample_id": 273,
    "img_path": "images/000273.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000273.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_3_2"
  },
  {
    "sample_id": 274,
    "img_path": "images/000274.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000274.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "F5_1_1"
  },
  {
    "sample_id": 275,
    "img_path": "images/000275.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000275.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_2_2"
  },
  {
    "sample_id": 276,
    "img_path": "images/000276.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000276.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_2_2"
  },
  {
    "sample_id": 277,
    "img_path": "images/000277.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000277.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L5_0_1"
  },
  {
    "sample_id": 278,
    "img_path": "images/000278.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000278.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_cross_2_1"
  },
  {
    "sample_id": 279,
    "img_path": "images/000279.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000279.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_3"
  },
  {
    "sample_id": 280,
    "img_path": "images/000280.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000280.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T4_0_1"
  },
  {
    "sample_id": 281,
    "img_path": "images/000281.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000281.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_0_1"
  },
  {
    "sample_id": 282,
    "img_path": "images/000282.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000282.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "Y5_3_1"
  },
  {
    "sample_id": 283,
    "img_path": "images/000283.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000283.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_cross_0_3"
  },
  {
    "sample_id": 284,
    "img_path": "images/000284.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000284.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_3_1"
  },
  {
    "sample_id": 285,
    "img_path": "images/000285.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000285.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_3_1"
  },
  {
    "sample_id": 286,
    "img_path": "images/000286.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000286.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L4_1_3"
  },
  {
    "sample_id": 287,
    "img_path": "images/000287.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000287.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "Y5_1_1"
  },
  {
    "sample_id": 288,
    "img_path": "images/000288.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000288.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "V5_0_1"
  },
  {
    "sample_id": 289,
    "img_path": "images/000289.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000289.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "N5_3_3"
  },
  {
    "sample_id": 290,
    "img_path": "images/000290.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000290.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "N5_2_1"
  },
  {
    "sample_id": 291,
    "img_path": "images/000291.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000291.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "F5_2_1"
  },
  {
    "sample_id": 292,
    "img_path": "images/000292.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000292.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_1_1"
  },
  {
    "sample_id": 293,
    "img_path": "images/000293.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000293.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T5_2_1"
  },
  {
    "sample_id": 294,
    "img_path": "images/000294.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000294.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Ubig_1_2"
  },
  {
    "sample_id": 295,
    "img_path": "images/000295.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000295.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "F5_0_3"
  },
  {
    "sample_id": 296,
    "img_path": "images/000296.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000296.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "N5_0_1"
  },
  {
    "sample_id": 297,
    "img_path": "images/000297.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000297.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_cross_3_2"
  },
  {
    "sample_id": 298,
    "img_path": "images/000298.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000298.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "J_2_2"
  },
  {
    "sample_id": 299,
    "img_path": "images/000299.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000299.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "F5_1_2"
  },
  {
    "sample_id": 300,
    "img_path": "images/000300.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000300.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "F5_0_2"
  },
  {
    "sample_id": 301,
    "img_path": "images/000301.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000301.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_2_1"
  },
  {
    "sample_id": 302,
    "img_path": "images/000302.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000302.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "P5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "P5_3_1"
  },
  {
    "sample_id": 303,
    "img_path": "images/000303.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000303.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "F5_3_1"
  },
  {
    "sample_id": 304,
    "img_path": "images/000304.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000304.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_1"
  },
  {
    "sample_id": 305,
    "img_path": "images/000305.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000305.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_2_1"
  },
  {
    "sample_id": 306,
    "img_path": "images/000306.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000306.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_3_1"
  },
  {
    "sample_id": 307,
    "img_path": "images/000307.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000307.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "H_cross_1_1"
  },
  {
    "sample_id": 308,
    "img_path": "images/000308.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000308.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "L4_0_3"
  },
  {
    "sample_id": 309,
    "img_path": "images/000309.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000309.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "P5_0_2"
  },
  {
    "sample_id": 310,
    "img_path": "images/000310.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000310.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "N5_2_1"
  },
  {
    "sample_id": 311,
    "img_path": "images/000311.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000311.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "T4_1_2"
  },
  {
    "sample_id": 312,
    "img_path": "images/000312.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000312.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_0_2"
  },
  {
    "sample_id": 313,
    "img_path": "images/000313.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000313.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_1"
  },
  {
    "sample_id": 314,
    "img_path": "images/000314.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000314.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "P5_1_1"
  },
  {
    "sample_id": 315,
    "img_path": "images/000315.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000315.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_cross_3_1"
  },
  {
    "sample_id": 316,
    "img_path": "images/000316.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000316.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T4_3_3"
  },
  {
    "sample_id": 317,
    "img_path": "images/000317.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 90° clockwise rotation is one rightward quarter-turn. I mentally turn the query shape once, moving every block together, and visualize the resulting shape.",
      "intermediate_img_path": "images/intermediate_000317.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_2_1"
  },
  {
    "sample_id": 318,
    "img_path": "images/000318.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000318.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_3_3"
  },
  {
    "sample_id": 319,
    "img_path": "images/000319.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000319.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "V5_3_1"
  },
  {
    "sample_id": 320,
    "img_path": "images/000320.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000320.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L5_3_2"
  },
  {
    "sample_id": 321,
    "img_path": "images/000321.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000321.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "V5_0_2"
  },
  {
    "sample_id": 322,
    "img_path": "images/000322.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000322.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "L5_1_2"
  },
  {
    "sample_id": 323,
    "img_path": "images/000323.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000323.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_0_3"
  },
  {
    "sample_id": 324,
    "img_path": "images/000324.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000324.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Ubig_0_3"
  },
  {
    "sample_id": 325,
    "img_path": "images/000325.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000325.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Ubig_1_2"
  },
  {
    "sample_id": 326,
    "img_path": "images/000326.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000326.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "N5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_1"
  },
  {
    "sample_id": 327,
    "img_path": "images/000327.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000327.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "L5_0_1"
  },
  {
    "sample_id": 328,
    "img_path": "images/000328.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000328.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_2_2"
  },
  {
    "sample_id": 329,
    "img_path": "images/000329.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000329.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_1_3"
  },
  {
    "sample_id": 330,
    "img_path": "images/000330.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 270° clockwise rotation. I picture the query shape making a quarter-turn to the right, keep track of the intermediate orientation, and repeat this twice more. After the third quarter-turn, I hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000330.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Tbig_0_3"
  },
  {
    "sample_id": 331,
    "img_path": "images/000331.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000331.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "W5_2_2"
  },
  {
    "sample_id": 332,
    "img_path": "images/000332.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000332.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_2_1"
  },
  {
    "sample_id": 333,
    "img_path": "images/000333.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000333.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "Y5_0_1"
  },
  {
    "sample_id": 334,
    "img_path": "images/000334.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000334.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "W5_1_2"
  },
  {
    "sample_id": 335,
    "img_path": "images/000335.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000335.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "H_Tbig_0_2"
  },
  {
    "sample_id": 336,
    "img_path": "images/000336.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000336.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "H_Ubig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Ubig_3_2"
  },
  {
    "sample_id": 337,
    "img_path": "images/000337.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000337.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "W5_3_2"
  },
  {
    "sample_id": 338,
    "img_path": "images/000338.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000338.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "Y5_0_2"
  },
  {
    "sample_id": 339,
    "img_path": "images/000339.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000339.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "Y5_2_2"
  },
  {
    "sample_id": 340,
    "img_path": "images/000340.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000340.png",
      "post_visual_text_think": [
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (a) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "N5_2_3"
  },
  {
    "sample_id": 341,
    "img_path": "images/000341.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000341.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "P5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "P5_0_3"
  },
  {
    "sample_id": 342,
    "img_path": "images/000342.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000342.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "Y5_3_1"
  },
  {
    "sample_id": 343,
    "img_path": "images/000343.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000343.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "L4_2_3"
  },
  {
    "sample_id": 344,
    "img_path": "images/000344.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000344.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "V5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "V5_0_2"
  },
  {
    "sample_id": 345,
    "img_path": "images/000345.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000345.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "Y5_0_1"
  },
  {
    "sample_id": 346,
    "img_path": "images/000346.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000346.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T4_1_1"
  },
  {
    "sample_id": 347,
    "img_path": "images/000347.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000347.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "N5_2_3"
  },
  {
    "sample_id": 348,
    "img_path": "images/000348.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000348.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "W5_2_1"
  },
  {
    "sample_id": 349,
    "img_path": "images/000349.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000349.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "T4_1_3"
  },
  {
    "sample_id": 350,
    "img_path": "images/000350.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000350.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "So I select option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "V5_2_1"
  },
  {
    "sample_id": 351,
    "img_path": "images/000351.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000351.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_3_3"
  },
  {
    "sample_id": 352,
    "img_path": "images/000352.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000352.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "U5_3_3"
  },
  {
    "sample_id": 353,
    "img_path": "images/000353.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000353.png",
      "post_visual_text_think": [
        "",
        "The final imagined orientation gives a direct visual match: option (b) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "Y5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "Y5_1_2"
  },
  {
    "sample_id": 354,
    "img_path": "images/000354.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000354.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_cross_1_1"
  },
  {
    "sample_id": 355,
    "img_path": "images/000355.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000355.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "L4_1_3"
  },
  {
    "sample_id": 356,
    "img_path": "images/000356.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000356.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "L5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "L5_3_3"
  },
  {
    "sample_id": 357,
    "img_path": "images/000357.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000357.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "W5_1_3"
  },
  {
    "sample_id": 358,
    "img_path": "images/000358.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000358.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "T4_3_3"
  },
  {
    "sample_id": 359,
    "img_path": "images/000359.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000359.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (d) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Tbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Tbig_1_1"
  },
  {
    "sample_id": 360,
    "img_path": "images/000360.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000360.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_0_1"
  },
  {
    "sample_id": 361,
    "img_path": "images/000361.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000361.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_3_1"
  },
  {
    "sample_id": 362,
    "img_path": "images/000362.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000362.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "N5_3_1"
  },
  {
    "sample_id": 363,
    "img_path": "images/000363.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000363.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "N5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "N5_2_2"
  },
  {
    "sample_id": 364,
    "img_path": "images/000364.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000364.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_2_2"
  },
  {
    "sample_id": 365,
    "img_path": "images/000365.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000365.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "W5_1_1"
  },
  {
    "sample_id": 366,
    "img_path": "images/000366.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 180° rotation is two clockwise quarter-turns. I imagine the query shape after the first turn, continue through the second, and keep the final block arrangement in mind.",
      "intermediate_img_path": "images/intermediate_000366.png",
      "post_visual_text_think": [
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (c) reproduces the rotated query shape.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "P5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "J_2_2"
  },
  {
    "sample_id": 367,
    "img_path": "images/000367.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000367.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "The requested rotation leads to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "J_2_3"
  },
  {
    "sample_id": 368,
    "img_path": "images/000368.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000368.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "This makes option (a) the matching result.",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Tbig",
    "shape_C_name": "T5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T5_0_1"
  },
  {
    "sample_id": 369,
    "img_path": "images/000369.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated 180° clockwise rule, I rotate the query shape to the right twice in my mind. All blocks move together until the shape faces the opposite direction.",
      "intermediate_img_path": "images/intermediate_000369.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "V5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "V5_3_2"
  },
  {
    "sample_id": 370,
    "img_path": "images/000370.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000370.png",
      "post_visual_text_think": [
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (c) has the same normalized outline and orientation. The remaining choices do not.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "L4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L4_2_1"
  },
  {
    "sample_id": 371,
    "img_path": "images/000371.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000371.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (d), independent of colour or grid location."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "J_0_1"
  },
  {
    "sample_id": 372,
    "img_path": "images/000372.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000372.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "L5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "L5_0_1"
  },
  {
    "sample_id": 373,
    "img_path": "images/000373.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000373.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_2_1"
  },
  {
    "sample_id": 374,
    "img_path": "images/000374.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000374.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "This makes option (c) the matching result.",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "U5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "J_2_1"
  },
  {
    "sample_id": 375,
    "img_path": "images/000375.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000375.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "Therefore the correct choice is option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "F5_2_2"
  },
  {
    "sample_id": 376,
    "img_path": "images/000376.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000376.png",
      "post_visual_text_think": [
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (a), independent of colour or grid location.",
        "",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Ubig",
    "shape_C_name": "N5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "N5_1_3"
  },
  {
    "sample_id": 377,
    "img_path": "images/000377.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given 90° clockwise transformation directly to the query shape. I imagine one quarter-turn to the right and retain the final arrangement of blocks.",
      "intermediate_img_path": "images/intermediate_000377.png",
      "post_visual_text_think": [
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (b), independent of colour or grid location.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "F5_0_1"
  },
  {
    "sample_id": 378,
    "img_path": "images/000378.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the stated rule, I mentally rotate the query shape 90° clockwise. One quarter-turn gives the orientation I need to compare with the choices.",
      "intermediate_img_path": "images/intermediate_000378.png",
      "post_visual_text_think": [
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (c) contains the same shape, whereas the other candidates differ in rotation or structure.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Lbig_0_1"
  },
  {
    "sample_id": 379,
    "img_path": "images/000379.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000379.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "W5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "W5_1_3"
  },
  {
    "sample_id": 380,
    "img_path": "images/000380.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000380.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "F5_0_3"
  },
  {
    "sample_id": 381,
    "img_path": "images/000381.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000381.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "T5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "90° clockwise rotation",
      "c": "identity",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "T5_2_2"
  },
  {
    "sample_id": 382,
    "img_path": "images/000382.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize one clockwise quarter-turn of the query shape, then a second. Together they form the required 180° turn and produce the final imagined orientation.",
      "intermediate_img_path": "images/intermediate_000382.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "F5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "180° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "F5_2_2"
  },
  {
    "sample_id": 383,
    "img_path": "images/000383.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000383.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (d)."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T4",
    "shape_C_name": "Y5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "90° clockwise rotation",
      "a": "180° clockwise rotation",
      "b": "identity",
      "c": "270° clockwise rotation"
    },
    "intermediate_key": "Y5_0_1"
  },
  {
    "sample_id": 384,
    "img_path": "images/000384.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000384.png",
      "post_visual_text_think": [
        "Comparing the rotated shape cell by cell with the four candidates, option (a) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "W5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "a": "180° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "W5_2_2"
  },
  {
    "sample_id": 385,
    "img_path": "images/000385.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000385.png",
      "post_visual_text_think": [
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (b) has the same normalized outline and orientation. The remaining choices do not.",
        "",
        ""
      ],
      "text_think": "So I select option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "270° clockwise rotation",
      "a": "180° clockwise rotation",
      "c": "90° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_3_3"
  },
  {
    "sample_id": 386,
    "img_path": "images/000386.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 270° clockwise turn. I mentally rotate it right by 90°, then again to 180°, and once more to 270°, preserving the shape at every step.",
      "intermediate_img_path": "images/intermediate_000386.png",
      "post_visual_text_think": [
        "",
        "",
        "The mental image can now be matched directly against the choices. Its connected blocks and orientation coincide with option (c), independent of colour or grid location.",
        ""
      ],
      "text_think": "Therefore the correct choice is option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "F5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "identity",
      "b": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "H_Sbig_1_3"
  },
  {
    "sample_id": 387,
    "img_path": "images/000387.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        116,
        650,
        243,
        777
      ],
      [
        264,
        650,
        391,
        777
      ],
      [
        412,
        650,
        539,
        777
      ],
      [
        560,
        650,
        687,
        777
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape must rotate 180° clockwise. I mentally turn it 90° to the right, retain that intermediate state, and turn it another 90° to complete the rotation.",
      "intermediate_img_path": "images/intermediate_000387.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (d) reproduces the rotated query shape."
      ],
      "text_think": "This makes option (d) the matching result.",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Lbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "F5_0_2"
  },
  {
    "sample_id": 388,
    "img_path": "images/000388.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000388.png",
      "post_visual_text_think": [
        "The final imagined orientation gives a direct visual match: option (a) contains the same shape, whereas the other candidates differ in rotation or structure.",
        "",
        "",
        ""
      ],
      "text_think": "Therefore the correct choice is option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Sbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "c": "270° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_Sbig_3_1"
  },
  {
    "sample_id": 389,
    "img_path": "images/000389.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 180° clockwise rotation. I picture the query shape making one quarter-turn to the right and keep track of that intermediate orientation. I then turn it one more quarter-turn, completing the half-turn, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000389.png",
      "post_visual_text_think": [
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (b) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "J",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "b": "180° clockwise rotation",
      "a": "identity",
      "c": "270° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "J_0_2"
  },
  {
    "sample_id": 390,
    "img_path": "images/000390.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "Following the given 270° clockwise rule, I turn the query shape to the right three times in my mind, moving every connected block together.",
      "intermediate_img_path": "images/intermediate_000390.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "V5",
    "shape_C_name": "J",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "c": "270° clockwise rotation",
      "a": "90° clockwise rotation",
      "b": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "J_0_3"
  },
  {
    "sample_id": 391,
    "img_path": "images/000391.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000391.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "Thus the rotated query shape corresponds to option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_2_2"
  },
  {
    "sample_id": 392,
    "img_path": "images/000392.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape after one clockwise quarter-turn, continue through a second, and complete a third. I hold that final 270° orientation in mind.",
      "intermediate_img_path": "images/intermediate_000392.png",
      "post_visual_text_think": [
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (a).",
        "",
        "",
        ""
      ],
      "text_think": "The requested rotation leads to option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "H_cross",
    "shape_C_name": "L4",
    "shape_A_family": "hexomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "180° clockwise rotation",
      "d": "90° clockwise rotation"
    },
    "intermediate_key": "L4_3_3"
  },
  {
    "sample_id": 393,
    "img_path": "images/000393.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I visualize the query shape turning once to the right through 90°. Its blocks keep their relative positions as the entire shape moves into its new orientation.",
      "intermediate_img_path": "images/intermediate_000393.png",
      "post_visual_text_think": [
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (b).",
        "",
        ""
      ],
      "text_think": "The transformed query shape therefore matches option (b).",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "Y5",
    "shape_C_name": "H_cross",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "identity",
      "c": "180° clockwise rotation",
      "d": "270° clockwise rotation"
    },
    "intermediate_key": "H_cross_2_1"
  },
  {
    "sample_id": 394,
    "img_path": "images/000394.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        92,
        618,
        219,
        745
      ],
      [
        240,
        618,
        367,
        745
      ],
      [
        388,
        618,
        515,
        745
      ],
      [
        536,
        618,
        663,
        745
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000394.png",
      "post_visual_text_think": [
        "",
        "",
        "With the transformed query shape still in mind, I compare its orientation and occupied-cell pattern against the four choices, ignoring colour and grid position. Option (c) has the same normalized shape and orientation; the other options show a different rotation or a different cell arrangement.",
        ""
      ],
      "text_think": "The requested rotation leads to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "identity",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_3_1"
  },
  {
    "sample_id": 395,
    "img_path": "images/000395.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "A 270° clockwise rotation is three rightward quarter-turns. I track the query shape through each turn and retain the arrangement reached after the third.",
      "intermediate_img_path": "images/intermediate_000395.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "Comparing the rotated shape cell by cell with the four candidates, option (d) has the same normalized outline and orientation. The remaining choices do not."
      ],
      "text_think": "So I select option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "T5",
    "shape_C_name": "H_Lbig",
    "shape_A_family": "pentomino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "d": "270° clockwise rotation",
      "a": "identity",
      "b": "90° clockwise rotation",
      "c": "180° clockwise rotation"
    },
    "intermediate_key": "H_Lbig_3_3"
  },
  {
    "sample_id": 396,
    "img_path": "images/000396.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 270° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "a",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the stated rotation to the query shape in three mental steps: 90°, 180°, and finally 270° clockwise. The last orientation is the one I need to compare.",
      "intermediate_img_path": "images/intermediate_000396.png",
      "post_visual_text_think": [
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (a) reproduces the rotated query shape.",
        "",
        "",
        ""
      ],
      "text_think": "So I select option (a).",
      "answer": "a",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (270° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "270° clockwise rotation",
    "shape_A_name": "W5",
    "shape_C_name": "T4",
    "shape_A_family": "pentomino",
    "shape_C_family": "tetromino",
    "option_transforms": {
      "a": "270° clockwise rotation",
      "b": "identity",
      "c": "90° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "T4_0_3"
  },
  {
    "sample_id": 397,
    "img_path": "images/000397.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "b",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The stated transformation is a 90° clockwise rotation. I picture the query shape making one quarter-turn to the right, with all of its blocks moving together, and hold the resulting orientation in mind.",
      "intermediate_img_path": "images/intermediate_000397.png",
      "post_visual_text_think": [
        "",
        "I now compare the imagined result with the options by shape alone. After ignoring colour and absolute placement, option (b) reproduces the rotated query shape.",
        "",
        ""
      ],
      "text_think": "This makes option (b) the matching result.",
      "answer": "b",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "L4",
    "shape_C_name": "H_cross",
    "shape_A_family": "tetromino",
    "shape_C_family": "hexomino",
    "option_transforms": {
      "b": "90° clockwise rotation",
      "a": "270° clockwise rotation",
      "c": "180° clockwise rotation",
      "d": "identity"
    },
    "intermediate_key": "H_cross_1_1"
  },
  {
    "sample_id": 398,
    "img_path": "images/000398.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 90° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "c",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "The query shape needs a 90° clockwise turn. In my mind, I rotate the whole shape one quarter-turn to the right while preserving how its blocks are connected, then keep that new orientation in view.",
      "intermediate_img_path": "images/intermediate_000398.png",
      "post_visual_text_think": [
        "",
        "",
        "I disregard the random colours and where each candidate sits in its grid. The imagined query shape matches the block arrangement in option (c).",
        ""
      ],
      "text_think": "Thus the rotated query shape corresponds to option (c).",
      "answer": "c",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "90° clockwise rotation",
    "shape_A_name": "J",
    "shape_C_name": "U5",
    "shape_A_family": "tetromino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "c": "90° clockwise rotation",
      "a": "identity",
      "b": "270° clockwise rotation",
      "d": "180° clockwise rotation"
    },
    "intermediate_key": "U5_1_1"
  },
  {
    "sample_id": 399,
    "img_path": "images/000399.png",
    "question": "Image (A) is to image (B) as image (C) is to which of the following options?\nThe transformation from (A) to (B) is: 180° clockwise rotation.\nNote: the colours of the options are random and irrelevant — answer based on shape only.\nOptions:\n(a) Option a\n(b) Option b\n(c) Option c\n(d) Option d",
    "answer": "d",
    "bboxs": [
      [
        68,
        586,
        195,
        713
      ],
      [
        216,
        586,
        343,
        713
      ],
      [
        364,
        586,
        491,
        713
      ],
      [
        512,
        586,
        639,
        713
      ]
    ],
    "reasoning_traces": {
      "pre_visual_text_think": "I apply the given half-turn to the query shape in two mental steps: 90° clockwise, then another 90° clockwise. The second state is the result I will compare.",
      "intermediate_img_path": "images/intermediate_000399.png",
      "post_visual_text_think": [
        "",
        "",
        "",
        "The final imagined orientation gives a direct visual match: option (d) contains the same shape, whereas the other candidates differ in rotation or structure."
      ],
      "text_think": "The transformed query shape therefore matches option (d).",
      "answer": "d",
      "mental_actions": [
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (90° total)",
          "state": "intermediate state"
        },
        {
          "phase": "apply_transform_to_query",
          "action": "mentally rotate the query shape another 90° clockwise (180° total)",
          "state": "final imagined result"
        }
      ]
    },
    "dataset": "Tetris-2D-ID",
    "transform_type": "rotation",
    "transform_description": "180° clockwise rotation",
    "shape_A_name": "H_Sbig",
    "shape_C_name": "F5",
    "shape_A_family": "hexomino",
    "shape_C_family": "pentomino",
    "option_transforms": {
      "d": "180° clockwise rotation",
      "a": "270° clockwise rotation",
      "b": "90° clockwise rotation",
      "c": "identity"
    },
    "intermediate_key": "F5_0_2"
  }
]