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comp_grid_chips_train_0200
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_0201
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_0202
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_0203
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_0204
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_0205
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_0206
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_0207
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_0208
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_0209
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_0210
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 ...
14
math
comp_grid_chips_train_0211
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_0212
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_0213
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_0214
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_0215
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_0216
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_0217
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_0218
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_0219
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_0220
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_0221
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...
8
math
comp_grid_chips_train_0222
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_0223
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_0224
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_0225
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_0226
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_0227
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_0228
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_0229
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_0230
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_0231
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_0232
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_0233
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_0234
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_0235
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_0236
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_0237
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_0238
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_0239
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_0240
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_0241
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_0242
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_0243
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_0244
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_0245
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_0246
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_0247
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_0248
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_0249
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_0250
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_0251
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_0252
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_0253
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_0254
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_0255
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_0256
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_0257
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_0258
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_0259
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_0260
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_0261
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_0262
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_0263
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_0264
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 ...
14
math
comp_grid_chips_train_0265
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_0266
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_0267
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_0268
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_0269
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_0270
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_0271
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_0272
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_0273
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_0274
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_0275
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_0276
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_0277
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_0278
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_0279
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_0280
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_0281
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_0282
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_0283
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_0284
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_0285
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_0286
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_0287
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_0288
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_0289
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_0290
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_0291
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_0292
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_0293
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_0294
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_0295
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_0296
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_0297
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_0298
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_0299
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