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gpt4 |
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I'm doing Python experiments. |
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These are images. |
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```python |
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input = {} |
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output = {} |
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input[0] = {'width':10,'height':12,'background':0,(4,3):2,(3,4):2,(4,4):2,(5,4):2,(4,5):2} |
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output[0] = {'width':10,'height':12,'background':0,(0,0):1,(4,0):4,(8,0):1,(1,1):1,(4,1):8,(7,1):1,(2,2):1,(4,2):8,(6,2):1,(3,3):1,(4,3):2,(5,3):1,(0,4):4,(1,4):8,(2,4):8,(3,4):2,(4,4):2,(5,4):2,(6,4):8,(7,4):8,(8,4):4,(9,4):8,(3,5):1,(4,5):2,(5,5):1,(2,6):1,(4,6):8,(6,6):1,(1,7):1,(4,7):8,(7,7):1,(0,8):1,(4,8):4,(8,8):1,(4,9):8,(9,9):1,(4,10):8,(4,11):4} |
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input[1] = {'width':16,'height':7,'background':0,(3,2):2,(2,3):2,(3,3):2,(4,3):2,(3,4):2} |
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output[1] = {'width':16,'height':7,'background':0,(0,0):1,(3,0):8,(6,0):1,(1,1):1,(3,1):8,(5,1):1,(2,2):1,(3,2):2,(4,2):1,(0,3):8,(1,3):8,(2,3):2,(3,3):2,(4,3):2,(5,3):8,(6,3):8,(7,3):4,(8,3):8,(9,3):8,(10,3):4,(11,3):8,(12,3):8,(13,3):4,(14,3):8,(15,3):8,(2,4):1,(3,4):2,(4,4):1,(1,5):1,(3,5):8,(5,5):1,(0,6):1,(3,6):8,(6,6):1} |
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``` |
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# Task A |
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Use at most 100 words. |
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Think step by step. |
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- Write notes about what shapes and patterns you observe. |
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- The output is never the same as the input. |
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- Is the output a cropped out area from the input. |
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- Is the output similar to the input rotated. |
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- Is the output similar to the input flipped. |
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- Is the output similar to the input diagonally flipped. |
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- Are the output images symmetric around the x-axis, y-axis or both. |
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- Are pixels gravitating towards one of the edges: top, bottom, left, right. |
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# Task B |
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Use at most 300 words. |
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Include a markdown formatted table with the most important observations about input and output images. |
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The table has three columns: observation name, observation values, comments about the observation. |
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The `observation values` column can contain: integers, Yes, No, Absent, IDs, shape names, decreasing order, and so on. |
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Think step by step. |
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- Count the mass of each layer. |
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- Count how many strongly connected clusters there are inside each layer. |
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- Is mass related to the sorting of layers. |
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- Isolated pixels without an adjacent pixel of same layer, sometimes they change layer. |
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- Are there horizontal lines, do they extend edge to edge. |
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- Are there vertical lines, do they extend edge to edge. |
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- Are there stripes with evenly spaced lines. |
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- Are there filled rectangles. |
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- Are there hollow boxes. |
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- Are there L-shapes. |
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- Are there T-shapes. |
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- Are there H-shapes. |
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- Are there E-shapes. |
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- Are there Plus-shapes. |
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- Are there Tetris-shapes. |
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- Are there other shapes. |
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- Does the output contain a tile that is being used a few times. Is that tile identical to the input image. |
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- What shapes are there with holes, such as boxes, where the hole is separated from the outside. |
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- What shapes are there where the border has small holes, such as a box with 1 pixel missing in the border, so it's no longer a hole. |
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- Is there a line connecting two landmarks, is it the shortest path. |
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- Does shape change layer, but preserves their shape, and what may be triggering it. |
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- Does shape move relative x,y. |
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- Boolean operations may happen: xor, and, or. |
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- Does a tiny object change layer, because it's nearest to a bigger object in that layer. |
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# Task C |
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Use at most 100 words. |
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Think step by step. |
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What are the actions that converts input to output. |
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# Task D |
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With the following example input, I want you to predict what the output should be. |
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```python |
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input[2] = {'width':17,'height':30,'background':0,(7,10):2,(6,11):2,(7,11):2,(8,11):2,(7,12):2} |
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``` |
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Print your reasoning before printing the code. |
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Don't print other markdown code blocks than the code block containing your predictions. |
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Fill your predictions into the following template and replace PREDICT with your predictions. |
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```python |
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output[2] = PREDICT |
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``` |
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--- |
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# Task A |
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- In both examples, the input images have a '+' shaped pattern made of 2's at the center. |
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- The output images are not the same as the input. They have more complexities, patterns, and numbers other than 2's and 0's. |
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- The output images are not cropped areas from the input. |
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- The output images are not rotated versions of the input. |
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- The output images are not flipped versions of the input. |
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- The output images are not diagonally flipped versions of the input. |
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- The output images don't seem to be symmetric around either the x-axis or y-axis. |
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- Pixels don't appear to be gravitating towards any particular edge. |
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# Task B |
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| Observation Name | Observation Values | Comments about the Observation | |
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|------------------|-------------------|--------------------------------| |
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| Mass of Each Layer | Variable | It appears that the number of pixels in each layer varies in output images. | |
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| Strongly Connected Clusters | Yes | There are clusters in the output, notably around the original '+' shape in the input. | |
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| Layer Sorting and Mass | No | The mass does not seem to affect the sorting of layers. | |
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| Isolated Pixels | Yes | Some isolated pixels change layer in the output. | |
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| Horizontal Lines | Yes | There are horizontal lines that do not extend edge to edge. | |
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| Vertical Lines | Yes | There are vertical lines that do not extend edge to edge. | |
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| Evenly Spaced Stripes | No | No clear patterns of evenly spaced stripes observed. | |
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| Filled Rectangles | Yes | Filled rectangles can be observed around the '+' shape in the input. | |
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| Hollow Boxes | No | No hollow boxes observed. | |
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| L-Shapes | No | No L-shapes observed. | |
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| T-Shapes | No | No T-shapes observed. | |
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| H-Shapes | No | No H-Shapes observed. | |
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| E-Shapes | No | No E-shapes observed. | |
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| Plus-Shapes | Yes | Plus shape from the input is maintained in output. | |
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| Tetris-Shapes | No | No Tetris shapes observed. | |
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| Other Shapes | Yes | Various irregular shapes are observed. | |
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| Tile Replication | No | No exact replication of the input as a tile in the output. | |
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| Shapes with Holes | No | No shapes with holes observed. | |
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| Border Holes | No | No shapes with border holes observed. | |
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| Line Connections | No | No line connections observed. | |
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| Layer Preserving Shape Change | Yes | Some pixels change layer but maintain their relative position. | |
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| Shape Movements | Yes | The '+' shape moves relative x, y in the output. | |
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| Boolean Operations | No | No clear evidence of boolean operations. | |
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| Tiny Object Layer Change | No | No tiny objects change layer due to proximity to larger objects. | |
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# Task C |
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- The '+' shape in the input image is preserved in the output. |
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- Certain additional patterns are generated around the '+' shape. |
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- The numbers are updated from 2's to other numbers in the output based on certain unknown rules. |
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- The width and height are preserved in the output. |
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# Task D |
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Reasoning: By following the pattern in the previous examples, the '+' shape at the center would remain, surrounded by a series of patterns, which may contain numbers other than 2's. |
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```python |
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output[2] = {'width':17,'height':30,'background':0,(0,0):1,(7,0):4,(14,0):1,(1,1):1,(7,1):8,(13,1):1,(2,2):1,(7,2):8,(12,2):1,(3,3):1,(7,3):8,(11,3):1,(4,4):1,(7,4):8,(10,4):1,(5,5):1,(7,5):8,(9,5):1,(6,6):1,(7,6):2,(8,6):1,(0,7):4,(1,7):8,(2,7):8,(3,7):8,(4,7):8,(5,7):8,(6,7):2,(7,7):2,(8,7):2,(9,7):8,(10,7):8,(11,7):8,(12,7):8,(13,7):8,(14,7):4,(15,7):8,(16,7):4,(6,8):1,(7,8):2,(8,8):1,(5,9):1,(7,9):8,(9,9):1,(4,10):1,(7,10):8,(10,10):1,(3,11):1,(7,11):8,(11,11):1,(2,12):1,(7,12):8,(12,12):1,(1,13):1,(7,13):8,(13,13):1,(0,14):1,(7,14):4,(14,14):1,(7,15):8,(7,16):8,(7,17):8,(7,18):8,(7,19):8,(7,20):8,(7,21):8,(7,22):8,(7,23):8,(7,24):8,(7,25):8,(7,26):8,(7,27):8,(7,28):8,(7,29):4} |
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``` |
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Doesn't continue the diagonal lines all the way to the edges. Doesn't do the spacing correct with the yellow pixels. Otherwise very similar to the expected result. |