| gpt4 | |
| --- | |
| I'm doing Prolog experiments. | |
| The grid is 1-indexed and does allow negative indices. | |
| 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. | |
| The width of the object bounding box has a 'w' prefix, like 'w5' is width=5. | |
| The height of the object bounding box has a 'h' prefix, like 'h3' is height=3. | |
| The `id` prefixed text has no integer value and should not be considered. | |
| ```prolog | |
| % Example 1 input grid_width14_height14 | |
| object(input1_idPz7ea0g_t1_l1_b14_r14_w14_h14_mass52_shapeUnclassified_scaleUnknown, transform(all)). | |
| object(input1_idPj8kdf4_t1_l6_b4_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(input1_idP33ffe7_t7_l2_b8_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input1_idPfe7a8k_t2_l2_b3_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input1_idP3d53ef_t12_l2_b13_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| % Example 1 output grid_width14_height14 | |
| object(output1_idPz7ea0g_t1_l1_b14_r14_w14_h14_mass52_shapeUnclassified_scaleUnknown, transform(all)). | |
| object(output1_idP33ffe7_t6_l11_b9_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idP33ffe7_t6_l6_b9_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idP33ffe7_t6_l1_b9_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idPfe7a8k_t1_l11_b4_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idPfe7a8k_t1_l6_b4_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idPfe7a8k_t1_l1_b4_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idP3d53ef_t11_l11_b14_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idP3d53ef_t11_l6_b14_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| object(output1_idP3d53ef_t11_l1_b14_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(flip270)). | |
| % Example 2 input grid_width19_height19 | |
| object(input2_idPz7ea0g_t12_l2_b13_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input2_idP48kmo7_t17_l9_b17_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(input2_idP48kmo7_t17_l6_b19_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(input2_idP989a7f_t2_l2_b3_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input2_idP33ffe7_t1_l1_b19_r19_w19_h19_mass105_shapeUnclassified_scaleUnknown, transform(all)). | |
| object(input2_idPfe7a8k_t7_l2_b8_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input2_idP3d53ef_t17_l2_b18_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| % Example 2 output grid_width19_height19 | |
| object(output2_idPz7ea0g_t12_l19_b12_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPz7ea0g_t12_l16_b14_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idPz7ea0g_t12_l14_b12_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPz7ea0g_t12_l11_b14_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idPz7ea0g_t12_l9_b12_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPz7ea0g_t12_l6_b14_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idPz7ea0g_t12_l4_b12_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPz7ea0g_t12_l1_b14_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP989a7f_t2_l19_b2_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP989a7f_t2_l16_b4_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP989a7f_t2_l14_b2_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP989a7f_t2_l11_b4_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP989a7f_t2_l9_b2_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP989a7f_t2_l6_b4_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP989a7f_t2_l4_b2_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP989a7f_t2_l1_b4_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP33ffe7_t1_l1_b19_r19_w19_h19_mass105_shapeUnclassified_scaleUnknown, transform(all)). | |
| object(output2_idPfe7a8k_t7_l19_b7_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPfe7a8k_t7_l16_b9_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idPfe7a8k_t7_l14_b7_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPfe7a8k_t7_l11_b9_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idPfe7a8k_t7_l9_b7_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPfe7a8k_t7_l6_b9_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idPfe7a8k_t7_l4_b7_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idPfe7a8k_t7_l1_b9_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP3d53ef_t17_l19_b17_r19_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP3d53ef_t17_l16_b19_r18_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP3d53ef_t17_l14_b17_r14_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP3d53ef_t17_l11_b19_r13_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP3d53ef_t17_l9_b17_r9_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP3d53ef_t17_l6_b19_r8_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output2_idP3d53ef_t17_l4_b17_r4_w1_h1_mass1_shapeRectangle_scalex1_scaley1, transform(all)). | |
| object(output2_idP3d53ef_t17_l1_b19_r3_w3_h3_mass5_shapeLowerLeftTriangleWithoutCorner_scalex1_scaley1, transform(rot180_flip270)). | |
| ``` | |
| Think step by step, what are the transformations across all the examples, that goes from the input to the output. | |
| With the following example, I want you to predict what the output should be | |
| ```prolog | |
| % Example 3 input grid_width24_height24 | |
| object(input3_idP847fa3_t22_l2_b23_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input3_idP48kmo7_t17_l2_b18_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input3_idPj8kdf4_t1_l1_b24_r24_w24_h24_mass176_shapeUnclassified_scaleUnknown, transform(all)). | |
| object(input3_idP989a7f_t12_l2_b13_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input3_idP33ffe7_t7_l2_b8_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input3_idPfe7a8k_t2_l2_b3_r3_w2_h2_mass4_shapeRectangle_scalex2_scaley2, transform(all)). | |
| object(input3_idP3d53ef_t6_l11_b9_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| % Example 3 output grid_width24_height24 | |
| PREDICT the text that starts with object(output3_ | |
| ``` | |
| Repeat the previous example prolog code, with PREDICT replaced with your predictions. | |
| There number of output objects may be different than the input objects. | |
| The output objects may have to be sorted by coordinates or mass or some other property. | |
| --- | |
| 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: | |
| 1. The 'idPz7ea0g' object remains the same in both input and output. | |
| 2. The other objects are flip270 transformed and positioned multiple times on the grid. The width and height remain constant, but their positions change. | |
| 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. | |
| 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. | |
| Applying these rules to the third example, the output would be: | |
| ```prolog | |
| % Example 3 output grid_width24_height24 | |
| object(output3_idPj8kdf4_t1_l1_b24_r24_w24_h24_mass176_shapeUnclassified_scaleUnknown, transform(all)). | |
| object(output3_idP847fa3_t21_l11_b24_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP847fa3_t21_l6_b24_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP847fa3_t21_l1_b24_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP48kmo7_t16_l11_b19_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP48kmo7_t16_l6_b19_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP48kmo7_t16_l1_b19_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP989a7f_t11_l11_b14_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP989a7f_t11_l6_b14_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP989a7f_t11_l1_b14_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP33ffe7_t6_l11_b9_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP33ffe7_t6_l6_b9_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idP33ffe7_t6_l1_b9_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idPfe7a8k_t1_l11_b4_r14_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idPfe7a8k_t1_l6_b4_r9_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| object(output3_idPfe7a8k_t1_l1_b4_r4_w4_h4_mass8_shapeUnclassified_scalex1_scaley1, transform(rot180_flip270)). | |
| ``` | |
| 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. | |