gpt4

I'm doing Python experiments.

These are images.

input = {}
output = {}
input[0] = {'width':9,'height':9,'background':0,(6,1):5,(3,4):5,(1,7):5}
output[0] = {'width':9,'height':9,'background':0,(5,0):1,(6,0):1,(7,0):1,(5,1):1,(6,1):5,(7,1):1,(5,2):1,(6,2):1,(7,2):1,(2,3):1,(3,3):1,(4,3):1,(2,4):1,(3,4):5,(4,4):1,(2,5):1,(3,5):1,(4,5):1,(0,6):1,(1,6):1,(2,6):1,(0,7):1,(1,7):5,(2,7):1,(0,8):1,(1,8):1,(2,8):1}

input[1] = {'width':9,'height':9,'background':0,(7,1):5,(3,2):5,(7,5):5,(3,7):5}
output[1] = {'width':9,'height':9,'background':0,(6,0):1,(7,0):1,(8,0):1,(2,1):1,(3,1):1,(4,1):1,(6,1):1,(7,1):5,(8,1):1,(2,2):1,(3,2):5,(4,2):1,(6,2):1,(7,2):1,(8,2):1,(2,3):1,(3,3):1,(4,3):1,(6,4):1,(7,4):1,(8,4):1,(6,5):1,(7,5):5,(8,5):1,(2,6):1,(3,6):1,(4,6):1,(6,6):1,(7,6):1,(8,6):1,(2,7):1,(3,7):5,(4,7):1,(2,8):1,(3,8):1,(4,8):1}

Task A

Use at most 50 words. Think step by step.

Write notes about what shapes and patterns you observe.
The output is never the same as the input.

Task B

Use at most 300 words. Include a markdown formatted table with the most important observations about input and output images. The table has three columns: observation name, observation values, comments about the observation. The observation values column can contain integers, IDs, yes/no, shape names, absent, decreasing order, and so on. Think step by step.

Count the mass of each layer.
Count how many strongly connected clusters there are inside each layer.
Is mass related to the sorting of layers.
Isolated pixels without an adjacent pixel of same layer, sometimes they change layer.
Are there horizontal lines, do they extend edge to edge.
Are there vertical lines, do they extend edge to edge.
Are there filled rectangles.
Are there hollow boxes.
Are there L-shapes.
Are there T-shapes.
Are there H-shapes.
Are there E-shapes.
Are there Plus-shapes.
Are there Tetris-shapes.
Are there other shapes.
Are there a line connecting two landmarks.
Does shape change layer, but preserves their shape, and what may be triggering it.
Does shape move relative x,y.
Boolean operations may happen: xor, and, or.

Task C

Use at most 100 words. Think step by step. What are the actions that converts input to output.

Task D

With the following example input, I want you to predict what the output should be.

input[2] = {'width':9,'height':9,'background':0,(1,1):5,(7,2):5,(3,4):5,(1,7):5,(5,7):5}

Print your reasoning before printing the code. Don't print other markdown code blocks than the code block containing your predictions.

Fill your predictions into the following template and replace PREDICT with your predictions.

output[2] = PREDICT

Task A

In the provided examples, each 5 in the input appears surrounded by 1's in the output. Each 5 in the input seems to trigger a 3x3 square with a 5 in the center and 1's around it in the output, but only if there's enough space on the grid.

Task B

Observation Name	Observation Values	Comments about the Observation
Mass of each layer	Varies	The mass of each layer depends on the number of 5's in the input and the available space around them in the grid.
Strongly connected clusters	1 per 5 in input	Each 5 in the input creates a single cluster in the output.
Mass related to sorting of layers	No	The mass doesn't seem to affect the ordering of layers.
Isolated pixels	Yes	Isolated pixels turn into clusters.
Horizontal/Vertical lines	No	There are no clear horizontal or vertical lines.
Filled rectangles	No	No filled rectangles.
Hollow boxes	No	No hollow boxes.
L-shapes, T-shapes, H-shapes, E-shapes	No	None of these shapes are observed.
Plus-shapes	Yes	The clusters formed around 5's are plus-shaped.
Tetris-shapes	No	No Tetris shapes observed.
Line connecting two landmarks	No	No clear lines connecting landmarks.
Shape change layer	No	No clear pattern of shapes changing layers.
Shape move relative x,y	Yes	The location of 5's from the input determines the location of clusters in the output.
Boolean operations	No	No clear boolean operations observed.

Task C

To convert the input to output, for each coordinate with a value of 5, a 3x3 square is created in the output around this coordinate, with the center being the original 5 and the surrounding pixels being 1, provided there is enough space in the grid.

Task D

Given the pattern observed, each coordinate in the input with a value of 5 will generate a 3x3 square in the output, centered on this coordinate. The output square will have a 5 in the center and 1's surrounding it.

output[2] = {'width':9,'height':9,'background':0,(0,0):1,(1,0):1,(2,0):1,(0,1):1,(1,1):5,(2,1):1,(0,2):1,(1,2):1,(2,2):1,(6,1):1,(7,1):1,(8,1):1,(6,2):1,(7,2):5,(8,2):1,(6,3):1,(7,3):1,(8,3):1,(2,3):1,(3,3):1,(4,3):1,(2,4):1,(3,4):5,(4,4):1,(2,5):1,(3,5):1,(4,5):1,(0,6):1,(1,6):1,(2,6):1,(0,7):1,(1,7):5,(2,7):1,(0,8):1,(1,8):1,(2,8):1,(4,6):1,(5,6):1,(6,6):1,(4,7):1,(5,7):5,(6,7):1,(4,8):1,(5,8):1,(6,8):1}