id stringlengths 26 26 | setting_key stringclasses 1
value | setting_name stringclasses 1
value | messages listlengths 1 1 | ground_truth stringclasses 29
values | dataset stringclasses 1
value |
|---|---|---|---|---|---|
comp_grid_chips_train_0100 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 11 | math |
comp_grid_chips_train_0101 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0102 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 14 | math |
comp_grid_chips_train_0103 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 10 | math |
comp_grid_chips_train_0104 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 9 | math |
comp_grid_chips_train_0105 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0106 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 6 | math |
comp_grid_chips_train_0107 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0108 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0109 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0110 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0111 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 12 | math |
comp_grid_chips_train_0112 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0113 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0114 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 4 | math |
comp_grid_chips_train_0115 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0116 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0117 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0118 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0119 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 17 | math |
comp_grid_chips_train_0120 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0121 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0122 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0123 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 12 | math |
comp_grid_chips_train_0124 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 6 | math |
comp_grid_chips_train_0125 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 6 | math |
comp_grid_chips_train_0126 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0127 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0128 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0129 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 10 | math |
comp_grid_chips_train_0130 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 11 | math |
comp_grid_chips_train_0131 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 14 | math |
comp_grid_chips_train_0132 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0133 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0134 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 11 | math |
comp_grid_chips_train_0135 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 11 | math |
comp_grid_chips_train_0136 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0137 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0138 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0139 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 9 | math |
comp_grid_chips_train_0140 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0141 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0142 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0143 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 14 | math |
comp_grid_chips_train_0144 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0145 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0146 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 10 | math |
comp_grid_chips_train_0147 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0148 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0149 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0150 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0151 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 13 | math |
comp_grid_chips_train_0152 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0153 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0154 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0155 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0156 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0157 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0158 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0159 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0160 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 12 | math |
comp_grid_chips_train_0161 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0162 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0163 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0164 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0165 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 13 | math |
comp_grid_chips_train_0166 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 12 | math |
comp_grid_chips_train_0167 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 10 | math |
comp_grid_chips_train_0168 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0169 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0170 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 9 | math |
comp_grid_chips_train_0171 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0172 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0173 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 6 | math |
comp_grid_chips_train_0174 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0175 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 4 | math |
comp_grid_chips_train_0176 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0177 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 13 | math |
comp_grid_chips_train_0178 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 9 | math |
comp_grid_chips_train_0179 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 11 | math |
comp_grid_chips_train_0180 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 6 | math |
comp_grid_chips_train_0181 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0182 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0183 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0184 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0185 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 12 | math |
comp_grid_chips_train_0186 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 4 | math |
comp_grid_chips_train_0187 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0188 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0189 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 5 | math |
comp_grid_chips_train_0190 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0191 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 17 | math |
comp_grid_chips_train_0192 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 6 | math |
comp_grid_chips_train_0193 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0194 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
comp_grid_chips_train_0195 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0196 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 13 | math |
comp_grid_chips_train_0197 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 7 | math |
comp_grid_chips_train_0198 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in the cells of a 4x4 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour, c) any additional chip placed on the grid would violate one or more... | 8 | math |
comp_grid_chips_train_0199 | comp_grid_chips | Logic (Grid Chip) + Combinatorics (Probability) | [
{
"role": "user",
"content": "Chips, colored either black or white, are placed in a 5x5 grid such that: a) each cell contains at most one chip, b) all chips in the same row and all chips in the same column have the same colour. Furthermore, we have the following constraints (with the cells 0-indexed): cell ... | 8 | math |
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