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math_logic_puzzles_grid_chip_level_4

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messages listlengths 1 1	ground_truth stringclasses 24 values	dataset stringclasses 1 value
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 1) is white, cel...	19	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 6) is black, cel...	13	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (1, 2) is black, cel...	13	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 0) is black, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 6) is black, cel...	15	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 4) is black, cel...	14	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 1) is black, cel...	12	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	12	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	22	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 0) is white, cel...	9	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 3) is white, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 3) is black, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 5) is black, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 3) is white, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	29	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 0) is black, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (1, 5) is white, cel...	14	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 1) is white, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	23	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 3) is white, cel...	13	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 1) is black, cel...	13	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	23	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 6) is black, cel...	15	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 5) is black, cel...	9	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 6) is black, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	17	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (2, 2) is white, cel...	15	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 3) is white, cel...	15	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	17	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 1) is white, cel...	15	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 2) is black, cel...	21	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	23	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	29	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	27	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 1) is white, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (2, 3) is black, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	27	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (2, 6) is black, cel...	9	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 0) is white, cel...	12	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 0) is black, cel...	15	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 5) is black, cel...	17	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (2, 5) is white, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	23	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 5) is black, cel...	14	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 2) is white, cel...	16	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 6) is white, cel...	12	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 5) is white, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	23	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 2) is white, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 4) is white, cel...	7	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 0) is black, cel...	9	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 3) is black, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	23	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 0) is white, cel...	14	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 3) is white, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 2) is white, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	20	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	29	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (1, 4) is black, cel...	14	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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, 1) is black, cel...	14	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (3, 6) is black, cel...	10	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	24	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	25	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	20	MATH
[ { "content": "Chips, colored either black or white, are placed in a 7x7 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 (0, 0) is white, cel...	11	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	29	MATH
[ { "content": "Chips, colored either black or white, are placed in the cells of a 7x7 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 of the previous two...	26	MATH

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