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gpt4 |
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--- |
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I'm doing Prolog experiments. |
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The grid is 1-indexed and does allow negative indices. |
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Top-Left Bottom-Right (TLBR) is used for object bounding boxes, like tY_lX_bY_rX where t=top l=left b=bottom r=right. |
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The width of the object bounding box has a 'w' prefix, like 'w5' is width=5. |
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The height of the object bounding box has a 'h' prefix, like 'h3' is height=3. |
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The `id` prefixed text has no integer value and should not be considered. |
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```prolog |
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% Example 1 input grid_width14_height14 |
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object(input1_idPz7ea0g_t1_l1_b14_r14_w14_h14_mass52_shapeUnclassified_scaleUnknown, transform(all)). |
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object(input1_idPj8kdf4_t1_l6_b4_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(input1_idP33ffe7_t7_l2_b8_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input1_idPfe7a8k_t2_l2_b3_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input1_idP3d53ef_t12_l2_b13_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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% Example 1 output grid_width14_height14 |
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object(output1_idPz7ea0g_t1_l1_b14_r14_w14_h14_mass52_shapeUnclassified_scaleUnknown, transform(all)). |
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object(output1_idP33ffe7_t6_l11_b9_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idP33ffe7_t6_l6_b9_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idP33ffe7_t6_l1_b9_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idPfe7a8k_t1_l11_b4_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idPfe7a8k_t1_l6_b4_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idPfe7a8k_t1_l1_b4_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idP3d53ef_t11_l11_b14_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idP3d53ef_t11_l6_b14_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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object(output1_idP3d53ef_t11_l1_b14_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). |
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% Example 2 input grid_width19_height19 |
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object(input2_idPz7ea0g_t12_l2_b13_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input2_idP48kmo7_t17_l9_b17_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(input2_idP48kmo7_t17_l6_b19_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(input2_idP989a7f_t2_l2_b3_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input2_idP33ffe7_t1_l1_b19_r19_w19_h19_mass105_shapeUnclassified_scaleUnknown, transform(all)). |
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object(input2_idPfe7a8k_t7_l2_b8_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input2_idP3d53ef_t17_l2_b18_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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% Example 2 output grid_width19_height19 |
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object(output2_idPz7ea0g_t12_l19_b12_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPz7ea0g_t12_l16_b14_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idPz7ea0g_t12_l14_b12_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPz7ea0g_t12_l11_b14_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idPz7ea0g_t12_l9_b12_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPz7ea0g_t12_l6_b14_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idPz7ea0g_t12_l4_b12_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPz7ea0g_t12_l1_b14_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP989a7f_t2_l19_b2_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP989a7f_t2_l16_b4_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP989a7f_t2_l14_b2_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP989a7f_t2_l11_b4_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP989a7f_t2_l9_b2_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP989a7f_t2_l6_b4_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP989a7f_t2_l4_b2_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP989a7f_t2_l1_b4_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP33ffe7_t1_l1_b19_r19_w19_h19_mass105_shapeUnclassified_scaleUnknown, transform(all)). |
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object(output2_idPfe7a8k_t7_l19_b7_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPfe7a8k_t7_l16_b9_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idPfe7a8k_t7_l14_b7_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPfe7a8k_t7_l11_b9_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idPfe7a8k_t7_l9_b7_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPfe7a8k_t7_l6_b9_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idPfe7a8k_t7_l4_b7_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idPfe7a8k_t7_l1_b9_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP3d53ef_t17_l19_b17_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP3d53ef_t17_l16_b19_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP3d53ef_t17_l14_b17_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP3d53ef_t17_l11_b19_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP3d53ef_t17_l9_b17_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP3d53ef_t17_l6_b19_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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object(output2_idP3d53ef_t17_l4_b17_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). |
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object(output2_idP3d53ef_t17_l1_b19_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). |
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``` |
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Think step by step, what are the transformations across all the examples, that goes from the input to the output. |
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With the following example, I want you to predict what the output should be |
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```prolog |
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% Example 3 input grid_width24_height24 |
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object(input3_idP847fa3_t22_l2_b23_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input3_idP48kmo7_t17_l2_b18_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input3_idPj8kdf4_t1_l1_b24_r24_w24_h24_mass176_shapeUnclassified_scaleUnknown, transform(all)). |
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object(input3_idP989a7f_t12_l2_b13_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input3_idP33ffe7_t7_l2_b8_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input3_idPfe7a8k_t2_l2_b3_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). |
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object(input3_idP3d53ef_t6_l11_b9_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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% Example 3 output grid_width24_height24 |
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PREDICT the text that starts with object(output3_ |
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``` |
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Repeat the previous example prolog code, with PREDICT replaced with your predictions. |
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There number of output objects may be different than the input objects. |
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The output objects may have to be sorted by coordinates or mass or some other property. |
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--- |
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Analyzing the transformation between input and output in the examples you've given, I observed that the transformation is based on the flipping and shifting of the objects. Here is what I've understood: |
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1. The 'idPz7ea0g' object remains the same in both input and output. |
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2. The other objects are flip270 transformed and positioned multiple times on the grid. The width and height remain constant, but their positions change. |
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3. It seems each object is duplicated based on the width of 'idPz7ea0g' object (which acts like a kind of grid within the grid). The positions (Top-Left Bottom-Right) are changed in such a way that the objects are evenly distributed within the 'idPz7ea0g' object. |
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4. As we can see in Example 2, the positioning of the objects also takes into account the object's dimensions, so it's not overlapping with others. |
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Applying these rules to the third example, the output would be: |
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```prolog |
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% Example 3 output grid_width24_height24 |
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object(output3_idPj8kdf4_t1_l1_b24_r24_w24_h24_mass176_shapeUnclassified_scaleUnknown, transform(all)). |
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object(output3_idP847fa3_t21_l11_b24_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP847fa3_t21_l6_b24_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP847fa3_t21_l1_b24_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP48kmo7_t16_l11_b19_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP48kmo7_t16_l6_b19_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP48kmo7_t16_l1_b19_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP989a7f_t11_l11_b14_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP989a7f_t11_l6_b14_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP989a7f_t11_l1_b14_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP33ffe7_t6_l11_b9_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP33ffe7_t6_l6_b9_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idP33ffe7_t6_l1_b9_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idPfe7a8k_t1_l11_b4_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idPfe7a8k_t1_l6_b4_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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object(output3_idPfe7a8k_t1_l1_b4_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). |
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``` |
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I've made these predictions based on the pattern identified from the previous examples, and assuming that these transformations will follow the same pattern in the new example. |
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