prompt stringlengths 1.38k 4.97k | responses listlengths 16 16 | train stringlengths 378 5.73k | test stringlengths 125 7.52k | source stringclasses 4
values | answer stringlengths 11 1.69k | num_tokens int64 490 4.08k |
|---|---|---|---|---|---|---|
You will be given some number of paired example inputs and outputs grids. The outputs were produced by applying a transformation rule to the input grids. In addition to the paired example inputs and outputs, there is also one test input without a known output. The inputs and outputs are each “grids”. A grid is a rectan... | [
"The transformation rule appears to construct a grid $O$ of size $L \\times L$, where $L$ is the length of the input row $I$. The center of the structure is determined by $R_c = (L-1)/2$ and $C_c$, the index of the unique non-zero color (which must be '2' based on examples) in the input $I$.\n\nThe value $O[R, C]$ ... | [{"input": [[0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0], [0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0], [2, 0, 0,... | [{"input": [[0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 1, 0, ... | arc 1 | ```
0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0
0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0
0 0 0 0 0 2 0 1 0 0 0 2 0 0 0 0 0
0 0 0 0 2 0 0 0 1 0 0 0 2 0 0 0 0
0 0 0 2 0 1 0 0 0 1 0 0 0 2 0 0 0
0 0 2 0 0 0 1 0 0 0 1 0 0 0 2 0 0
0 2 0 1 0 0 0 1 0 0 0 1 0 0 0 2 0
2 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 2
0 1 0 0 0 ... | 836 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["The transformation rule observed involves identifying the background color, extracting the most st(...TRUNCATED) | "[{\"input\": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8(...TRUNCATED) | "[{\"input\": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4(...TRUNCATED) | arc 2 | "```\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4(...TRUNCATED) | 2,961 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["This problem requires identifying a structural mapping rule based on four major components present(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0(...TRUNCATED) | arc 2 | "```\n3 3 3 3 3 3 3 3 3 3 6 6\n3 3 3 3 3 3 3 3 3 3 6 6\n3 3 3 3 6 6 6 6 3 3 6 6\n3 3 3 3 6 6 6 6 3 3(...TRUNCATED) | 3,529 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["This transformation involves three steps:\n1. **Object Segmentation:** Identify connected compone(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0(...TRUNCATED) | barc_heavy | "```\n4 0 0 0 0 9 0 0 0 0 0 0 0 0\n4 0 0 0 0 9 0 0 0 0 0 0 0 0\n4 0 0 0 0 9 0 0 0 0 0 0 0 0\n4 0 0 0(...TRUNCATED) | 3,030 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["The transformation rule involves identifying the primary shape defined by the non-zero elements in(...TRUNCATED) | "[{\"input\": [[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0,(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3(...TRUNCATED) | arc 1 | "```\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 1 0 0 0 0 0 0 0 3 0 0 0 0\n0 0 1 1 0 0 0 0 0 0 0 3 3 0 (...TRUNCATED) | 3,047 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["The transformation rule identified from the examples is to extract all unique non-zero colors pres(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 8], [0, 9, 9, 0, 7, 0, 7, 7, 0, 7, 0, 0], [0, 9, 9,(...TRUNCATED) | "[{\"input\": [[0, 6, 0, 9, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 6](...TRUNCATED) | barc_heavy | ```
6 9 5 4 2 8
``` | 948 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["The transformation rule involves identifying the object(s) made of non-zero colors in the input, m(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0], [6, 6, (...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0](...TRUNCATED) | barc_heavy | "```\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 1 1 0 0 0 0 0 0\n0 1 1 0 0 0 0 0 0\(...TRUNCATED) | 1,132 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["The transformation rule observed across the examples is based on identifying connected components (...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 4, 0, 0, 0, 0, 0, 0], [0, 4, 8, 4, 0, 0, 0,(...TRUNCATED) | "[{\"input\": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 2, 2, 0, 0, 0, 0, 0], [0, 3, 3, 2, 0, 0, 0, 0, 0](...TRUNCATED) | arc 1 | "```\n0 0 0 0 0 0 0 0 0\n0 2 3 3 0 0 0 0 0\n0 2 2 3 0 0 0 0 0\n0 2 3 3 0 0 0 0 0\n0 0 0 0 0 1 1 1 0\(...TRUNCATED) | 1,702 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["The transformation rule observed across the examples involves reducing the width of the grid while(...TRUNCATED) | "[{\"input\": [[4, 4, 4, 4, 1, 0, 0, 0, 0], [0, 4, 0, 4, 1, 4, 0, 0, 0], [4, 0, 0, 0, 1, 0, 4, 0, 0](...TRUNCATED) | "[{\"input\": [[0, 0, 4, 0, 1, 0, 0, 4, 0], [4, 0, 4, 4, 1, 4, 4, 0, 4], [0, 0, 0, 4, 1, 4, 4, 0, 4](...TRUNCATED) | arc 1 | ```
0 0 8 0
8 8 8 8
8 8 0 8
8 8 8 0
8 8 8 8
8 8 0 8
``` | 1,188 |
"You will be given some number of paired example inputs and outputs grids. The outputs were produced(...TRUNCATED) | ["This problem involves identifying structural components (non-background elements) in the input gri(...TRUNCATED) | "[{\"input\": [[6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 6, 6, 6, 6], [9, 9, 9, 9, 6, 9, 9, 9], [0, 0, (...TRUNCATED) | "[{\"input\": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6(...TRUNCATED) | arc 2 | "```\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6(...TRUNCATED) | 3,606 |
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