index int64 | sample_id int64 | data_source string | prompt string | response string | metadata string | answer string |
|---|---|---|---|---|---|---|
9,950 | 0 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
1X7XXX84X
XXX973XXX
3X2X48X96
XX6XX7352
7XXXX146X
X4X2361XX
9653XX27X
X387X9615
X71865XXX
Please solve this puzzle according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repet... | <think>
We are given a Sudoku grid with some numbers and 'X' for empty cells.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the grid into a 9x9 matrix (list of lists).
2. We'll use a backtracking algorithm to solve the Sudoku. However, note that the grid i... | {"trace_id": "ec352a72-f3d1-4127-a4c8-391885a42f9b", "original_sudoku": [[1, "X", 7, "X", "X", "X", 8, 4, "X"], ["X", "X", "X", 9, 7, 3, "X", "X", "X"], [3, "X", 2, "X", 4, 8, "X", 9, 6], ["X", "X", 6, "X", "X", 7, 3, 5, 2], [7, "X", "X", "X", "X", 1, 4, 6, "X"], ["X", 4, "X", 2, 3, 6, 1, "X", "X"], [9, 6, 5, 3, "X", "... | ((1, 9, 7, 6, 5, 2, 8, 4, 3), (6, 8, 4, 9, 7, 3, 5, 2, 1), (3, 5, 2, 1, 4, 8, 7, 9, 6), (8, 1, 6, 4, 9, 7, 3, 5, 2), (7, 2, 3, 5, 8, 1, 4, 6, 9), (5, 4, 9, 2, 3, 6, 1, 8, 7), (9, 6, 5, 3, 1, 4, 2, 7, 8), (4, 3, 8, 7, 2, 9, 6, 1, 5), (2, 7, 1, 8, 6, 5, 9, 3, 4)) |
9,950 | 1 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
1X7XXX84X
XXX973XXX
3X2X48X96
XX6XX7352
7XXXX146X
X4X2361XX
9653XX27X
X387X9615
X71865XXX
Please solve this puzzle according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repet... | <think>
We are given a Sudoku grid with some numbers and 'X' for empty cells.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll represent the grid as a list of 9 lists, each inner list has 9 elements (... | {"trace_id": "ec352a72-f3d1-4127-a4c8-391885a42f9b", "original_sudoku": [[1, "X", 7, "X", "X", "X", 8, 4, "X"], ["X", "X", "X", 9, 7, 3, "X", "X", "X"], [3, "X", 2, "X", 4, 8, "X", 9, 6], ["X", "X", 6, "X", "X", 7, 3, 5, 2], [7, "X", "X", "X", "X", 1, 4, 6, "X"], ["X", 4, "X", 2, 3, 6, 1, "X", "X"], [9, 6, 5, 3, "X", "... | ((1, 9, 7, 6, 5, 2, 8, 4, 3), (6, 8, 4, 9, 7, 3, 5, 2, 1), (3, 5, 2, 1, 4, 8, 7, 9, 6), (8, 1, 6, 4, 9, 7, 3, 5, 2), (7, 2, 3, 5, 8, 1, 4, 6, 9), (5, 4, 9, 2, 3, 6, 1, 8, 7), (9, 6, 5, 3, 1, 4, 2, 7, 8), (4, 3, 8, 7, 2, 9, 6, 1, 5), (2, 7, 1, 8, 6, 5, 9, 3, 4)) |
9,951 | 0 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
418352697
573X1X28X
92687X53X
25X6X9XX3
764231XXX
X895X712X
X354X8X1X
8X7X2XX65
XX2765XXX
Please solve this puzzle according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly ... | <think>
We are given a Sudoku grid with some numbers and some 'X' (which we need to fill). The grid is provided as a string of 9 lines, each line having 9 characters.
The grid:
Line 0: "418352697"
Line 1: "573X1X28X"
Line 2: "92687X53X"
Line 3: "25X6X9XX3"
Line 4: "764231XXX"
Line 5: "X895X712X"
Line 6: "X354X8X1X"
L... | {"trace_id": "e172f66d-7420-4cc7-86c4-b63ef68ae072", "original_sudoku": [[4, 1, 8, 3, 5, 2, 6, 9, 7], [5, 7, 3, "X", 1, "X", 2, 8, "X"], [9, 2, 6, 8, 7, "X", 5, 3, "X"], [2, 5, "X", 6, "X", 9, "X", "X", 3], [7, 6, 4, 2, 3, 1, "X", "X", "X"], ["X", 8, 9, 5, "X", 7, 1, 2, "X"], ["X", 3, 5, 4, "X", 8, "X", 1, "X"], [8, "X... | ((4, 1, 8, 3, 5, 2, 6, 9, 7), (5, 7, 3, 9, 1, 6, 2, 8, 4), (9, 2, 6, 8, 7, 4, 5, 3, 1), (2, 5, 1, 6, 8, 9, 4, 7, 3), (7, 6, 4, 2, 3, 1, 8, 5, 9), (3, 8, 9, 5, 4, 7, 1, 2, 6), (6, 3, 5, 4, 9, 8, 7, 1, 2), (8, 4, 7, 1, 2, 3, 9, 6, 5), (1, 9, 2, 7, 6, 5, 3, 4, 8)) |
9,951 | 1 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
418352697
573X1X28X
92687X53X
25X6X9XX3
764231XXX
X895X712X
X354X8X1X
8X7X2XX65
XX2765XXX
Please solve this puzzle according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly ... | <think>
We are given a Sudoku grid as a string of 9 lines. Each line has 9 characters (digits or 'X' for unknown).
The grid:
418352697
573X1X28X
92687X53X
25X6X9XX3
764231XXX
X895X712X
X354X8X1X
8X7X2XX65
XX2765XXX
We need to solve for the 'X' positions.
Steps:
1. Represent the grid as a 9x9 lis... | {"trace_id": "e172f66d-7420-4cc7-86c4-b63ef68ae072", "original_sudoku": [[4, 1, 8, 3, 5, 2, 6, 9, 7], [5, 7, 3, "X", 1, "X", 2, 8, "X"], [9, 2, 6, 8, 7, "X", 5, 3, "X"], [2, 5, "X", 6, "X", 9, "X", "X", 3], [7, 6, 4, 2, 3, 1, "X", "X", "X"], ["X", 8, 9, 5, "X", 7, 1, 2, "X"], ["X", 3, 5, 4, "X", 8, "X", 1, "X"], [8, "X... | ((4, 1, 8, 3, 5, 2, 6, 9, 7), (5, 7, 3, 9, 1, 6, 2, 8, 4), (9, 2, 6, 8, 7, 4, 5, 3, 1), (2, 5, 1, 6, 8, 9, 4, 7, 3), (7, 6, 4, 2, 3, 1, 8, 5, 9), (3, 8, 9, 5, 4, 7, 1, 2, 6), (6, 3, 5, 4, 9, 8, 7, 1, 2), (8, 4, 7, 1, 2, 3, 9, 6, 5), (1, 9, 2, 7, 6, 5, 3, 4, 8)) |
9,952 | 0 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
54XX7X621
XXXXX9X8X
78316XXXX
XX1X84XXX
478X3X916
X2XX9XXX7
XXX853264
6524X73X8
XXXX2XX7X
Please complete this Sudoku game.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please prov... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as 9 strings, each of length 9.
Steps:
1. Parse the input grid.
2. We'll represent the grid as a 2D list of characters, where 'X' represents an empty cell.
3. We need to fill the grid so that each row, each... | {"trace_id": "111b8904-996d-4540-8e2c-72d466fcd0e0", "original_sudoku": [[5, 4, "X", "X", 7, "X", 6, 2, 1], ["X", "X", "X", "X", "X", 9, "X", 8, "X"], [7, 8, 3, 1, 6, "X", "X", "X", "X"], ["X", "X", 1, "X", 8, 4, "X", "X", "X"], [4, 7, 8, "X", 3, "X", 9, 1, 6], ["X", 2, "X", "X", 9, "X", "X", "X", 7], ["X", "X", "X", 8... | ((5, 4, 9, 3, 7, 8, 6, 2, 1), (2, 1, 6, 5, 4, 9, 7, 8, 3), (7, 8, 3, 1, 6, 2, 4, 5, 9), (9, 6, 1, 7, 8, 4, 5, 3, 2), (4, 7, 8, 2, 3, 5, 9, 1, 6), (3, 2, 5, 6, 9, 1, 8, 4, 7), (1, 9, 7, 8, 5, 3, 2, 6, 4), (6, 5, 2, 4, 1, 7, 3, 9, 8), (8, 3, 4, 9, 2, 6, 1, 7, 5)) |
9,952 | 1 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
54XX7X621
XXXXX9X8X
78316XXXX
XX1X84XXX
478X3X916
X2XX9XXX7
XXX853264
6524X73X8
XXXX2XX7X
Please complete this Sudoku game.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please prov... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as a list of strings (each string is a row of 9 characters).
Steps:
1. Represent the grid as a 2D list of integers, where we convert the digits to integers and leave the 'X' as None or 0 for empty.
2. We'll ... | {"trace_id": "111b8904-996d-4540-8e2c-72d466fcd0e0", "original_sudoku": [[5, 4, "X", "X", 7, "X", 6, 2, 1], ["X", "X", "X", "X", "X", 9, "X", 8, "X"], [7, 8, 3, 1, 6, "X", "X", "X", "X"], ["X", "X", 1, "X", 8, 4, "X", "X", "X"], [4, 7, 8, "X", 3, "X", 9, 1, 6], ["X", 2, "X", "X", 9, "X", "X", "X", 7], ["X", "X", "X", 8... | ((5, 4, 9, 3, 7, 8, 6, 2, 1), (2, 1, 6, 5, 4, 9, 7, 8, 3), (7, 8, 3, 1, 6, 2, 4, 5, 9), (9, 6, 1, 7, 8, 4, 5, 3, 2), (4, 7, 8, 2, 3, 5, 9, 1, 6), (3, 2, 5, 6, 9, 1, 8, 4, 7), (1, 9, 7, 8, 5, 3, 2, 6, 4), (6, 5, 2, 4, 1, 7, 3, 9, 8), (8, 3, 4, 9, 2, 6, 1, 7, 5)) |
9,953 | 0 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
79X1284X6
2XXX348XX
XXXX5X392
X7XX9X52X
XXXXX79X3
329X4X768
XX4XXXXXX
5X2419XX7
1X768X2X9
Please solve this Sudoku puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a 9x9 Sudoku puzzle as a string of 9 lines, each line is a string of 9 characters (digits and 'X' for empty).
The puzzle:
"79X1284X6"
"2XXX348XX"
"XXXX5X392"
"X7XX9X52X"
"XXXXX79X3"
"329X4X768"
"XX4XXXXXX"
"5X2419XX7"
"1X768X2X9"
Steps:
1. We'll represent the grid as a 9x9 list of list... | {"trace_id": "45b6fa58-27b2-415b-9683-a0f1ba83a348", "original_sudoku": [[7, 9, "X", 1, 2, 8, 4, "X", 6], [2, "X", "X", "X", 3, 4, 8, "X", "X"], ["X", "X", "X", "X", 5, "X", 3, 9, 2], ["X", 7, "X", "X", 9, "X", 5, 2, "X"], ["X", "X", "X", "X", "X", 7, 9, "X", 3], [3, 2, 9, "X", 4, "X", 7, 6, 8], ["X", "X", 4, "X", "X",... | ((7, 9, 3, 1, 2, 8, 4, 5, 6), (2, 5, 6, 9, 3, 4, 8, 7, 1), (4, 1, 8, 7, 5, 6, 3, 9, 2), (6, 7, 1, 8, 9, 3, 5, 2, 4), (8, 4, 5, 2, 6, 7, 9, 1, 3), (3, 2, 9, 5, 4, 1, 7, 6, 8), (9, 6, 4, 3, 7, 2, 1, 8, 5), (5, 8, 2, 4, 1, 9, 6, 3, 7), (1, 3, 7, 6, 8, 5, 2, 4, 9)) |
9,953 | 1 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
79X1284X6
2XXX348XX
XXXX5X392
X7XX9X52X
XXXXX79X3
329X4X768
XX4XXXXXX
5X2419XX7
1X768X2X9
Please solve this Sudoku puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a 9x9 Sudoku puzzle with some cells filled and some represented by 'X'. We need to solve it by filling the empty cells (X) such that each row, each column, and each 3x3 box contains the digits 1 through 9 exactly once.
The puzzle is provided as a string of 9 lines. Each line has 9 characters (some... | {"trace_id": "45b6fa58-27b2-415b-9683-a0f1ba83a348", "original_sudoku": [[7, 9, "X", 1, 2, 8, 4, "X", 6], [2, "X", "X", "X", 3, 4, 8, "X", "X"], ["X", "X", "X", "X", 5, "X", 3, 9, 2], ["X", 7, "X", "X", 9, "X", 5, 2, "X"], ["X", "X", "X", "X", "X", 7, 9, "X", 3], [3, 2, 9, "X", 4, "X", 7, 6, 8], ["X", "X", 4, "X", "X",... | ((7, 9, 3, 1, 2, 8, 4, 5, 6), (2, 5, 6, 9, 3, 4, 8, 7, 1), (4, 1, 8, 7, 5, 6, 3, 9, 2), (6, 7, 1, 8, 9, 3, 5, 2, 4), (8, 4, 5, 2, 6, 7, 9, 1, 3), (3, 2, 9, 5, 4, 1, 7, 6, 8), (9, 6, 4, 3, 7, 2, 1, 8, 5), (5, 8, 2, 4, 1, 9, 6, 3, 7), (1, 3, 7, 6, 8, 5, 2, 4, 9)) |
9,954 | 0 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
945X2X183
317XX45X2
X6853149X
XX3168725
672XX5841
5XX4X263X
X2XXX3X18
1X9X47X56
XX621X374
Please solve this Sudoku puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a 9x9 Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for empty).
The goal is to solve the puzzle and output the solution as a tuple of 9 tuples, each inner tuple being a row of 9 numbers (from 1 to 9).
Steps:
1. Parse the input string into a 9x9 ... | {"trace_id": "f1a4e514-6326-4d4c-9b3c-c3e4f8840268", "original_sudoku": [[9, 4, 5, "X", 2, "X", 1, 8, 3], [3, 1, 7, "X", "X", 4, 5, "X", 2], ["X", 6, 8, 5, 3, 1, 4, 9, "X"], ["X", "X", 3, 1, 6, 8, 7, 2, 5], [6, 7, 2, "X", "X", 5, 8, 4, 1], [5, "X", "X", 4, "X", 2, 6, 3, "X"], ["X", 2, "X", "X", "X", 3, "X", 1, 8], [1, ... | ((9, 4, 5, 7, 2, 6, 1, 8, 3), (3, 1, 7, 9, 8, 4, 5, 6, 2), (2, 6, 8, 5, 3, 1, 4, 9, 7), (4, 9, 3, 1, 6, 8, 7, 2, 5), (6, 7, 2, 3, 9, 5, 8, 4, 1), (5, 8, 1, 4, 7, 2, 6, 3, 9), (7, 2, 4, 6, 5, 3, 9, 1, 8), (1, 3, 9, 8, 4, 7, 2, 5, 6), (8, 5, 6, 2, 1, 9, 3, 7, 4)) |
9,954 | 1 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
945X2X183
317XX45X2
X6853149X
XX3168725
672XX5841
5XX4X263X
X2XXX3X18
1X9X47X56
XX621X374
Please solve this Sudoku puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a 9x9 Sudoku puzzle with some cells filled and others marked as 'X' (empty).
The puzzle is represented as 9 strings (each of length 9) for the 9 rows.
Steps:
1. We'll represent the grid as a 2D list of characters (or integers) for easier manipulation.
2. We note that the grid has 9 rows and 9 ... | {"trace_id": "f1a4e514-6326-4d4c-9b3c-c3e4f8840268", "original_sudoku": [[9, 4, 5, "X", 2, "X", 1, 8, 3], [3, 1, 7, "X", "X", 4, 5, "X", 2], ["X", 6, 8, 5, 3, 1, 4, 9, "X"], ["X", "X", 3, 1, 6, 8, 7, 2, 5], [6, 7, 2, "X", "X", 5, 8, 4, 1], [5, "X", "X", 4, "X", 2, 6, 3, "X"], ["X", 2, "X", "X", "X", 3, "X", 1, 8], [1, ... | ((9, 4, 5, 7, 2, 6, 1, 8, 3), (3, 1, 7, 9, 8, 4, 5, 6, 2), (2, 6, 8, 5, 3, 1, 4, 9, 7), (4, 9, 3, 1, 6, 8, 7, 2, 5), (6, 7, 2, 3, 9, 5, 8, 4, 1), (5, 8, 1, 4, 7, 2, 6, 3, 9), (7, 2, 4, 6, 5, 3, 9, 1, 8), (1, 3, 9, 8, 4, 7, 2, 5, 6), (8, 5, 6, 2, 1, 9, 3, 7, 4)) |
9,955 | 0 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
X91XXX764
35XXXX8X1
468917253
5XX7X83XX
9X3421675
71X653X48
X758XX1X9
13X5X2487
82XXXX5X6
Please complete this Sudoku.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).
Please provi... | <think>
We are given a 9x9 Sudoku grid with some numbers and one cell (the first cell) marked as 'X' (which we need to fill). However, note that the problem says "X needs to be filled with digits 1-9", but the grid has multiple X's. Actually, the problem states: "This is a standard 9x9 Sudoku, where X needs to be fille... | {"trace_id": "fd4315b4-13e0-4a79-b483-21675a878525", "original_sudoku": [["X", 9, 1, "X", "X", "X", 7, 6, 4], [3, 5, "X", "X", "X", "X", 8, "X", 1], [4, 6, 8, 9, 1, 7, 2, 5, 3], [5, "X", "X", 7, "X", 8, 3, "X", "X"], [9, "X", 3, 4, 2, 1, 6, 7, 5], [7, 1, "X", 6, 5, 3, "X", 4, 8], ["X", 7, 5, 8, "X", "X", 1, "X", 9], [1... | ((2, 9, 1, 3, 8, 5, 7, 6, 4), (3, 5, 7, 2, 4, 6, 8, 9, 1), (4, 6, 8, 9, 1, 7, 2, 5, 3), (5, 4, 6, 7, 9, 8, 3, 1, 2), (9, 8, 3, 4, 2, 1, 6, 7, 5), (7, 1, 2, 6, 5, 3, 9, 4, 8), (6, 7, 5, 8, 3, 4, 1, 2, 9), (1, 3, 9, 5, 6, 2, 4, 8, 7), (8, 2, 4, 1, 7, 9, 5, 3, 6)) |
9,955 | 1 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
X91XXX764
35XXXX8X1
468917253
5XX7X83XX
9X3421675
71X653X48
X758XX1X9
13X5X2487
82XXXX5X6
Please complete this Sudoku.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).
Please provi... | <think>
We are given a 9x9 Sudoku grid with some numbers and one cell marked as 'X' (which we need to fill). The grid is provided as:
Row 0: X91XXX764
Row 1: 35XXXX8X1
Row 2: 468917253
Row 3: 5XX7X83XX
Row 4: 9X3421675
Row 5: 71X653X48
Row 6: X758XX1X9
Row 7: 13X5X2487
Row 8: 82XXXX5X6
We need to solve the Sudoku so ... | {"trace_id": "fd4315b4-13e0-4a79-b483-21675a878525", "original_sudoku": [["X", 9, 1, "X", "X", "X", 7, 6, 4], [3, 5, "X", "X", "X", "X", 8, "X", 1], [4, 6, 8, 9, 1, 7, 2, 5, 3], [5, "X", "X", 7, "X", 8, 3, "X", "X"], [9, "X", 3, 4, 2, 1, 6, 7, 5], [7, 1, "X", 6, 5, 3, "X", 4, 8], ["X", 7, 5, 8, "X", "X", 1, "X", 9], [1... | ((2, 9, 1, 3, 8, 5, 7, 6, 4), (3, 5, 7, 2, 4, 6, 8, 9, 1), (4, 6, 8, 9, 1, 7, 2, 5, 3), (5, 4, 6, 7, 9, 8, 3, 1, 2), (9, 8, 3, 4, 2, 1, 6, 7, 5), (7, 1, 2, 6, 5, 3, 9, 4, 8), (6, 7, 5, 8, 3, 4, 1, 2, 9), (1, 3, 9, 5, 6, 2, 4, 8, 7), (8, 2, 4, 1, 7, 9, 5, 3, 6)) |
9,956 | 0 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
4X6X9X738
1934X8X62
X7XXX6X9X
26X71398X
83X924X17
X198X5X24
X42XXXX7X
95XXXXX4X
68X342XX9
Please complete this Sudoku game.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please provide your... | <think>
We are given a 9x9 Sudoku grid with some cells filled and others marked as 'X' (empty).
The grid is provided as 9 strings, each of length 9.
Steps:
1. Parse the grid: each row is a string of 9 characters (digits or 'X')
2. We'll represent the grid as a 2D list of characters.
3. We need to solve the Sudok... | {"trace_id": "e2b53c8b-1c5b-4ad3-826a-390647f6e33b", "original_sudoku": [[4, "X", 6, "X", 9, "X", 7, 3, 8], [1, 9, 3, 4, "X", 8, "X", 6, 2], ["X", 7, "X", "X", "X", 6, "X", 9, "X"], [2, 6, "X", 7, 1, 3, 9, 8, "X"], [8, 3, "X", 9, 2, 4, "X", 1, 7], ["X", 1, 9, 8, "X", 5, "X", 2, 4], ["X", 4, 2, "X", "X", "X", "X", 7, "X... | ((4, 2, 6, 5, 9, 1, 7, 3, 8), (1, 9, 3, 4, 7, 8, 5, 6, 2), (5, 7, 8, 2, 3, 6, 4, 9, 1), (2, 6, 4, 7, 1, 3, 9, 8, 5), (8, 3, 5, 9, 2, 4, 6, 1, 7), (7, 1, 9, 8, 6, 5, 3, 2, 4), (3, 4, 2, 1, 5, 9, 8, 7, 6), (9, 5, 1, 6, 8, 7, 2, 4, 3), (6, 8, 7, 3, 4, 2, 1, 5, 9)) |
9,956 | 1 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
4X6X9X738
1934X8X62
X7XXX6X9X
26X71398X
83X924X17
X198X5X24
X42XXXX7X
95XXXXX4X
68X342XX9
Please complete this Sudoku game.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please provide your... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as 9 strings, each of length 9.
Steps:
1. Represent the grid as a 2D list of integers and strings. We'll convert the given string representation to a list of lists.
2. We'll create a function to check the va... | {"trace_id": "e2b53c8b-1c5b-4ad3-826a-390647f6e33b", "original_sudoku": [[4, "X", 6, "X", 9, "X", 7, 3, 8], [1, 9, 3, 4, "X", 8, "X", 6, 2], ["X", 7, "X", "X", "X", 6, "X", 9, "X"], [2, 6, "X", 7, 1, 3, 9, 8, "X"], [8, 3, "X", 9, 2, 4, "X", 1, 7], ["X", 1, 9, 8, "X", 5, "X", 2, 4], ["X", 4, 2, "X", "X", "X", "X", 7, "X... | ((4, 2, 6, 5, 9, 1, 7, 3, 8), (1, 9, 3, 4, 7, 8, 5, 6, 2), (5, 7, 8, 2, 3, 6, 4, 9, 1), (2, 6, 4, 7, 1, 3, 9, 8, 5), (8, 3, 5, 9, 2, 4, 6, 1, 7), (7, 1, 9, 8, 6, 5, 3, 2, 4), (3, 4, 2, 1, 5, 9, 8, 7, 6), (9, 5, 1, 6, 8, 7, 2, 4, 3), (6, 8, 7, 3, 4, 2, 1, 5, 9)) |
9,957 | 0 | sudoku | Here is a 9x9 Sudoku puzzle, where X represents a hidden number that needs to be filled in:
XX623X71X
XX357X246
X2XXX6XX9
3157X2694
XXX653X82
8X2XX13XX
9X41XX82X
XX7XXXXX1
68X3XXX57
Please solve it.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please p... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for missing numbers.
The grid is provided as a list of strings (each string is a row of 9 characters, with 'X' for unknowns).
Steps:
1. We'll represent the grid as a 2D list of characters.
2. We need to solve the Sudoku puzzle by filling in the ... | {"trace_id": "42cd63ee-0da6-48b8-a4c0-df1a3c82e0e5", "original_sudoku": [["X", "X", 6, 2, 3, "X", 7, 1, "X"], ["X", "X", 3, 5, 7, "X", 2, 4, 6], ["X", 2, "X", "X", "X", 6, "X", "X", 9], [3, 1, 5, 7, "X", 2, 6, 9, 4], ["X", "X", "X", 6, 5, 3, "X", 8, 2], [8, "X", 2, "X", "X", 1, 3, "X", "X"], [9, "X", 4, 1, "X", "X", 8,... | ((5, 4, 6, 2, 3, 9, 7, 1, 8), (1, 9, 3, 5, 7, 8, 2, 4, 6), (7, 2, 8, 4, 1, 6, 5, 3, 9), (3, 1, 5, 7, 8, 2, 6, 9, 4), (4, 7, 9, 6, 5, 3, 1, 8, 2), (8, 6, 2, 9, 4, 1, 3, 7, 5), (9, 5, 4, 1, 6, 7, 8, 2, 3), (2, 3, 7, 8, 9, 5, 4, 6, 1), (6, 8, 1, 3, 2, 4, 9, 5, 7)) |
9,957 | 1 | sudoku | Here is a 9x9 Sudoku puzzle, where X represents a hidden number that needs to be filled in:
XX623X71X
XX357X246
X2XXX6XX9
3157X2694
XXX653X82
8X2XX13XX
9X41XX82X
XX7XXXXX1
68X3XXX57
Please solve it.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please p... | <think>
We are given a 9x9 Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for unknowns).
The puzzle:
Line 0: "XX623X71X"
Line 1: "XX357X246"
Line 2: "X2XXX6XX9"
Line 3: "3157X2694"
Line 4: "XXX653X82"
Line 5: "8X2XX13XX"
Line 6: "9X41XX82X"
Line 7: "XX7XXXXX1"
Line 8: "68X3XXX57"
... | {"trace_id": "42cd63ee-0da6-48b8-a4c0-df1a3c82e0e5", "original_sudoku": [["X", "X", 6, 2, 3, "X", 7, 1, "X"], ["X", "X", 3, 5, 7, "X", 2, 4, 6], ["X", 2, "X", "X", "X", 6, "X", "X", 9], [3, 1, 5, 7, "X", 2, 6, 9, 4], ["X", "X", "X", 6, 5, 3, "X", 8, 2], [8, "X", 2, "X", "X", 1, 3, "X", "X"], [9, "X", 4, 1, "X", "X", 8,... | ((5, 4, 6, 2, 3, 9, 7, 1, 8), (1, 9, 3, 5, 7, 8, 2, 4, 6), (7, 2, 8, 4, 1, 6, 5, 3, 9), (3, 1, 5, 7, 8, 2, 6, 9, 4), (4, 7, 9, 6, 5, 3, 1, 8, 2), (8, 6, 2, 9, 4, 1, 3, 7, 5), (9, 5, 4, 1, 6, 7, 8, 2, 3), (2, 3, 7, 8, 9, 5, 4, 6, 1), (6, 8, 1, 3, 2, 4, 9, 5, 7)) |
9,958 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXX37XX42
X47158X93
X684X2X75
X9XX43X28
73298X56X
6X452793X
8X5X3X4X6
913X642XX
426X15X89
Please try to solve this puzzle.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for unknown).
The puzzle is:
"XXX37XX42"
"X47158X93"
"X684X2X75"
"X9XX43X28"
"73298X56X"
"6X452793X"
"8X5X3X4X6"
"913X642XX"
"426X15X89"
We need to solve it and output the solution as a tup... | {"trace_id": "d3a29967-867d-4737-a93e-6501efb8668e", "original_sudoku": [["X", "X", "X", 3, 7, "X", "X", 4, 2], ["X", 4, 7, 1, 5, 8, "X", 9, 3], ["X", 6, 8, 4, "X", 2, "X", 7, 5], ["X", 9, "X", "X", 4, 3, "X", 2, 8], [7, 3, 2, 9, 8, "X", 5, 6, "X"], [6, "X", 4, 5, 2, 7, 9, 3, "X"], [8, "X", 5, "X", 3, "X", 4, "X", 6], ... | ((1, 5, 9, 3, 7, 6, 8, 4, 2), (2, 4, 7, 1, 5, 8, 6, 9, 3), (3, 6, 8, 4, 9, 2, 1, 7, 5), (5, 9, 1, 6, 4, 3, 7, 2, 8), (7, 3, 2, 9, 8, 1, 5, 6, 4), (6, 8, 4, 5, 2, 7, 9, 3, 1), (8, 7, 5, 2, 3, 9, 4, 1, 6), (9, 1, 3, 8, 6, 4, 2, 5, 7), (4, 2, 6, 7, 1, 5, 3, 8, 9)) |
9,958 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXX37XX42
X47158X93
X684X2X75
X9XX43X28
73298X56X
6X452793X
8X5X3X4X6
913X642XX
426X15X89
Please try to solve this puzzle.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for unknown).
The puzzle:
XXX37XX42
X47158X93
X684X2X75
X9XX43X28
73298X56X
6X452793X
8X5X3X4X6
913X642XX
426X15X89
We need to solve it and output the solution as a tuple of 9 tuples, each ... | {"trace_id": "d3a29967-867d-4737-a93e-6501efb8668e", "original_sudoku": [["X", "X", "X", 3, 7, "X", "X", 4, 2], ["X", 4, 7, 1, 5, 8, "X", 9, 3], ["X", 6, 8, 4, "X", 2, "X", 7, 5], ["X", 9, "X", "X", 4, 3, "X", 2, 8], [7, 3, 2, 9, 8, "X", 5, 6, "X"], [6, "X", 4, 5, 2, 7, 9, 3, "X"], [8, "X", 5, "X", 3, "X", 4, "X", 6], ... | ((1, 5, 9, 3, 7, 6, 8, 4, 2), (2, 4, 7, 1, 5, 8, 6, 9, 3), (3, 6, 8, 4, 9, 2, 1, 7, 5), (5, 9, 1, 6, 4, 3, 7, 2, 8), (7, 3, 2, 9, 8, 1, 5, 6, 4), (6, 8, 4, 5, 2, 7, 9, 3, 1), (8, 7, 5, 2, 3, 9, 4, 1, 6), (9, 1, 3, 8, 6, 4, 2, 5, 7), (4, 2, 6, 7, 1, 5, 3, 8, 9)) |
9,959 | 0 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
X3X4XXX5X
58X6XXX79
7X49X5236
2X5864913
1X6753XX2
3XX1X25X7
X2754XX81
4X321X7X5
8XX37XX24
Please solve this Sudoku puzzle.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Plea... | <think>
We are given a 9x9 Sudoku grid with some cells filled and others as 'X'
The grid is provided as a string of lines, each line has 9 characters (either digit or 'X')
Steps:
1. Parse the input string into a 9x9 grid (list of lists)
2. We'll represent the grid with numbers (integers) for the known digits and 0... | {"trace_id": "4edb565e-e061-4aa6-b275-8d3bf3d4414d", "original_sudoku": [["X", 3, "X", 4, "X", "X", "X", 5, "X"], [5, 8, "X", 6, "X", "X", "X", 7, 9], [7, "X", 4, 9, "X", 5, 2, 3, 6], [2, "X", 5, 8, 6, 4, 9, 1, 3], [1, "X", 6, 7, 5, 3, "X", "X", 2], [3, "X", "X", 1, "X", 2, 5, "X", 7], ["X", 2, 7, 5, 4, "X", "X", 8, 1]... | ((6, 3, 9, 4, 2, 7, 1, 5, 8), (5, 8, 2, 6, 3, 1, 4, 7, 9), (7, 1, 4, 9, 8, 5, 2, 3, 6), (2, 7, 5, 8, 6, 4, 9, 1, 3), (1, 9, 6, 7, 5, 3, 8, 4, 2), (3, 4, 8, 1, 9, 2, 5, 6, 7), (9, 2, 7, 5, 4, 6, 3, 8, 1), (4, 6, 3, 2, 1, 8, 7, 9, 5), (8, 5, 1, 3, 7, 9, 6, 2, 4)) |
9,959 | 1 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
X3X4XXX5X
58X6XXX79
7X49X5236
2X5864913
1X6753XX2
3XX1X25X7
X2754XX81
4X321X7X5
8XX37XX24
Please solve this Sudoku puzzle.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Plea... | <think>
We are given a 9x9 Sudoku puzzle with some cells filled and others marked as 'X'. We need to fill in the empty cells (X) such that each row, each column, and each 3x3 box contains the digits 1 through 9 exactly once.
The puzzle is provided as a string of lines. Each line has 9 characters (some are digits, some... | {"trace_id": "4edb565e-e061-4aa6-b275-8d3bf3d4414d", "original_sudoku": [["X", 3, "X", 4, "X", "X", "X", 5, "X"], [5, 8, "X", 6, "X", "X", "X", 7, 9], [7, "X", 4, 9, "X", 5, 2, 3, 6], [2, "X", 5, 8, 6, 4, 9, 1, 3], [1, "X", 6, 7, 5, 3, "X", "X", 2], [3, "X", "X", 1, "X", 2, 5, "X", 7], ["X", 2, 7, 5, 4, "X", "X", 8, 1]... | ((6, 3, 9, 4, 2, 7, 1, 5, 8), (5, 8, 2, 6, 3, 1, 4, 7, 9), (7, 1, 4, 9, 8, 5, 2, 3, 6), (2, 7, 5, 8, 6, 4, 9, 1, 3), (1, 9, 6, 7, 5, 3, 8, 4, 2), (3, 4, 8, 1, 9, 2, 5, 6, 7), (9, 2, 7, 5, 4, 6, 3, 8, 1), (4, 6, 3, 2, 1, 8, 7, 9, 5), (8, 5, 1, 3, 7, 9, 6, 2, 4)) |
9,960 | 0 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
6X85932X1
X231XXXX6
59XX26843
87XXX9125
315472689
96XXX1XXX
2596387X4
4X69X7XXX
X372XX96X
Please solve this puzzle according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, ... | <think>
We are given a Sudoku grid with some numbers and some 'X' (which we need to fill). The grid is provided as a string of 9 lines, each line having 9 characters (some are digits, some are 'X').
The grid:
Line 0: "6X85932X1"
Line 1: "X231XXXX6"
Line 2: "59XX26843"
Line 3: "87XXX9125"
Line 4: "315472689"
Line 5: "... | {"trace_id": "632f0b20-f7cf-47d5-b996-1147cc42db66", "original_sudoku": [[6, "X", 8, 5, 9, 3, 2, "X", 1], ["X", 2, 3, 1, "X", "X", "X", "X", 6], [5, 9, "X", "X", 2, 6, 8, 4, 3], [8, 7, "X", "X", "X", 9, 1, 2, 5], [3, 1, 5, 4, 7, 2, 6, 8, 9], [9, 6, "X", "X", "X", 1, "X", "X", "X"], [2, 5, 9, 6, 3, 8, 7, "X", 4], [4, "X... | ((6, 4, 8, 5, 9, 3, 2, 7, 1), (7, 2, 3, 1, 8, 4, 5, 9, 6), (5, 9, 1, 7, 2, 6, 8, 4, 3), (8, 7, 4, 3, 6, 9, 1, 2, 5), (3, 1, 5, 4, 7, 2, 6, 8, 9), (9, 6, 2, 8, 5, 1, 4, 3, 7), (2, 5, 9, 6, 3, 8, 7, 1, 4), (4, 8, 6, 9, 1, 7, 3, 5, 2), (1, 3, 7, 2, 4, 5, 9, 6, 8)) |
9,960 | 1 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
6X85932X1
X231XXXX6
59XX26843
87XXX9125
315472689
96XXX1XXX
2596387X4
4X69X7XXX
X372XX96X
Please solve this puzzle according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, ... | <think>
We are given a Sudoku grid with some numbers and 'X' for unknowns.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input grid into a 9x9 matrix.
2. We'll represent the grid as a list of lists of characters (or integers? but we have 'X' so we'll k... | {"trace_id": "632f0b20-f7cf-47d5-b996-1147cc42db66", "original_sudoku": [[6, "X", 8, 5, 9, 3, 2, "X", 1], ["X", 2, 3, 1, "X", "X", "X", "X", 6], [5, 9, "X", "X", 2, 6, 8, 4, 3], [8, 7, "X", "X", "X", 9, 1, 2, 5], [3, 1, 5, 4, 7, 2, 6, 8, 9], [9, 6, "X", "X", "X", 1, "X", "X", "X"], [2, 5, 9, 6, 3, 8, 7, "X", 4], [4, "X... | ((6, 4, 8, 5, 9, 3, 2, 7, 1), (7, 2, 3, 1, 8, 4, 5, 9, 6), (5, 9, 1, 7, 2, 6, 8, 4, 3), (8, 7, 4, 3, 6, 9, 1, 2, 5), (3, 1, 5, 4, 7, 2, 6, 8, 9), (9, 6, 2, 8, 5, 1, 4, 3, 7), (2, 5, 9, 6, 3, 8, 7, 1, 4), (4, 8, 6, 9, 1, 7, 3, 5, 2), (1, 3, 7, 2, 4, 5, 9, 6, 8)) |
9,961 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXX8172X3
1X5X938X4
7X8X251XX
5XXXX279X
3X2769X4X
X675XXX82
XX42X6X37
67XX3X42X
2X3XX4XX8
Please try to solve this puzzle.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Plea... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for unknowns and digits for knowns).
The puzzle:
Line 0: "XXX8172X3"
Line 1: "1X5X938X4"
Line 2: "7X8X251XX"
Line 3: "5XXXX279X"
Line 4: "3X2769X4X"
Line 5: "X675XXX82"
Line 6: "XX42X6X37"
Line 7: "67XX3X42X"
Line 8: "2X3... | {"trace_id": "0919f65d-0bd8-40dd-aa65-550a25c2db4e", "original_sudoku": [["X", "X", "X", 8, 1, 7, 2, "X", 3], [1, "X", 5, "X", 9, 3, 8, "X", 4], [7, "X", 8, "X", 2, 5, 1, "X", "X"], [5, "X", "X", "X", "X", 2, 7, 9, "X"], [3, "X", 2, 7, 6, 9, "X", 4, "X"], ["X", 6, 7, 5, "X", "X", "X", 8, 2], ["X", "X", 4, 2, "X", 6, "X... | ((4, 9, 6, 8, 1, 7, 2, 5, 3), (1, 2, 5, 6, 9, 3, 8, 7, 4), (7, 3, 8, 4, 2, 5, 1, 6, 9), (5, 4, 1, 3, 8, 2, 7, 9, 6), (3, 8, 2, 7, 6, 9, 5, 4, 1), (9, 6, 7, 5, 4, 1, 3, 8, 2), (8, 1, 4, 2, 5, 6, 9, 3, 7), (6, 7, 9, 1, 3, 8, 4, 2, 5), (2, 5, 3, 9, 7, 4, 6, 1, 8)) |
9,961 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXX8172X3
1X5X938X4
7X8X251XX
5XXXX279X
3X2769X4X
X675XXX82
XX42X6X37
67XX3X42X
2X3XX4XX8
Please try to solve this puzzle.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Plea... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for unknown and digits for known).
The puzzle:
"XXX8172X3"
"1X5X938X4"
"7X8X251XX"
"5XXXX279X"
"3X2769X4X"
"X675XXX82"
"XX42X6X37"
"67XX3X42X"
"2X3XX4XX8"
We need to solve it and output a tuple of 9 tuples, eac... | {"trace_id": "0919f65d-0bd8-40dd-aa65-550a25c2db4e", "original_sudoku": [["X", "X", "X", 8, 1, 7, 2, "X", 3], [1, "X", 5, "X", 9, 3, 8, "X", 4], [7, "X", 8, "X", 2, 5, 1, "X", "X"], [5, "X", "X", "X", "X", 2, 7, 9, "X"], [3, "X", 2, 7, 6, 9, "X", 4, "X"], ["X", 6, 7, 5, "X", "X", "X", 8, 2], ["X", "X", 4, 2, "X", 6, "X... | ((4, 9, 6, 8, 1, 7, 2, 5, 3), (1, 2, 5, 6, 9, 3, 8, 7, 4), (7, 3, 8, 4, 2, 5, 1, 6, 9), (5, 4, 1, 3, 8, 2, 7, 9, 6), (3, 8, 2, 7, 6, 9, 5, 4, 1), (9, 6, 7, 5, 4, 1, 3, 8, 2), (8, 1, 4, 2, 5, 6, 9, 3, 7), (6, 7, 9, 1, 3, 8, 4, 2, 5), (2, 5, 3, 9, 7, 4, 6, 1, 8)) |
9,962 | 0 | sudoku | Here is a 9x9 Sudoku board, where X represents unfilled positions:
95XX48762
7836X249X
XX257XXX8
XXX28X149
XXX43X2X7
1X4795X83
3XX9X4X2X
6XX82XX3X
2481XX9X6
Please fill in all X positions to make a valid Sudoku.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-g... | <think>
We are given a 9x9 Sudoku board with some cells filled and others marked as 'X'. We need to fill in all the 'X' positions to make a valid Sudoku.
The board is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Let me write down the board for clarity:
Line 0: "95XX48762"
Line 1: "783... | {"trace_id": "a3fa028d-412d-4b56-add2-464cb4f819d4", "original_sudoku": [[9, 5, "X", "X", 4, 8, 7, 6, 2], [7, 8, 3, 6, "X", 2, 4, 9, "X"], ["X", "X", 2, 5, 7, "X", "X", "X", 8], ["X", "X", "X", 2, 8, "X", 1, 4, 9], ["X", "X", "X", 4, 3, "X", 2, "X", 7], [1, "X", 4, 7, 9, 5, "X", 8, 3], [3, "X", "X", 9, "X", 4, "X", 2, ... | ((9, 5, 1, 3, 4, 8, 7, 6, 2), (7, 8, 3, 6, 1, 2, 4, 9, 5), (4, 6, 2, 5, 7, 9, 3, 1, 8), (5, 3, 7, 2, 8, 6, 1, 4, 9), (8, 9, 6, 4, 3, 1, 2, 5, 7), (1, 2, 4, 7, 9, 5, 6, 8, 3), (3, 7, 5, 9, 6, 4, 8, 2, 1), (6, 1, 9, 8, 2, 7, 5, 3, 4), (2, 4, 8, 1, 5, 3, 9, 7, 6)) |
9,962 | 1 | sudoku | Here is a 9x9 Sudoku board, where X represents unfilled positions:
95XX48762
7836X249X
XX257XXX8
XXX28X149
XXX43X2X7
1X4795X83
3XX9X4X2X
6XX82XX3X
2481XX9X6
Please fill in all X positions to make a valid Sudoku.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-g... | <think>
We are given a 9x9 Sudoku board with some cells filled and others marked as 'X'. We need to fill in all the 'X' positions to form a valid Sudoku.
The board is provided as a string of 9 lines, each line is a string of 9 characters (digits or 'X').
Let me write down the board for clarity:
Row 0: 9 5 X X 4 8 7 ... | {"trace_id": "a3fa028d-412d-4b56-add2-464cb4f819d4", "original_sudoku": [[9, 5, "X", "X", 4, 8, 7, 6, 2], [7, 8, 3, 6, "X", 2, 4, 9, "X"], ["X", "X", 2, 5, 7, "X", "X", "X", 8], ["X", "X", "X", 2, 8, "X", 1, 4, 9], ["X", "X", "X", 4, 3, "X", 2, "X", 7], [1, "X", 4, 7, 9, 5, "X", 8, 3], [3, "X", "X", 9, "X", 4, "X", 2, ... | ((9, 5, 1, 3, 4, 8, 7, 6, 2), (7, 8, 3, 6, 1, 2, 4, 9, 5), (4, 6, 2, 5, 7, 9, 3, 1, 8), (5, 3, 7, 2, 8, 6, 1, 4, 9), (8, 9, 6, 4, 3, 1, 2, 5, 7), (1, 2, 4, 7, 9, 5, 6, 8, 3), (3, 7, 5, 9, 6, 4, 8, 2, 1), (6, 1, 9, 8, 2, 7, 5, 3, 4), (2, 4, 8, 1, 5, 3, 9, 7, 6)) |
9,963 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XX79XX1X8
3691X8XX4
148X5X7X9
785261493
X3XXX9X15
92XX43X87
XX342785X
X7X31594X
5XXXXX372
Please try to solve this puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' representing empty cells).
The puzzle is:
"XX79XX1X8"
"3691X8XX4"
"148X5X7X9"
"785261493"
"X3XXX9X15"
"92XX43X87"
"XX342785X"
"X7X31594X"
"5XXXXX372"
Steps:
1. We'll represent the grid as a 9x9 list of lists, ... | {"trace_id": "117f50af-9e97-46b3-9578-3031d8173ef1", "original_sudoku": [["X", "X", 7, 9, "X", "X", 1, "X", 8], [3, 6, 9, 1, "X", 8, "X", "X", 4], [1, 4, 8, "X", 5, "X", 7, "X", 9], [7, 8, 5, 2, 6, 1, 4, 9, 3], ["X", 3, "X", "X", "X", 9, "X", 1, 5], [9, 2, "X", "X", 4, 3, "X", 8, 7], ["X", "X", 3, 4, 2, 7, 8, 5, "X"], ... | ((2, 5, 7, 9, 3, 4, 1, 6, 8), (3, 6, 9, 1, 7, 8, 5, 2, 4), (1, 4, 8, 6, 5, 2, 7, 3, 9), (7, 8, 5, 2, 6, 1, 4, 9, 3), (4, 3, 6, 7, 8, 9, 2, 1, 5), (9, 2, 1, 5, 4, 3, 6, 8, 7), (6, 9, 3, 4, 2, 7, 8, 5, 1), (8, 7, 2, 3, 1, 5, 9, 4, 6), (5, 1, 4, 8, 9, 6, 3, 7, 2)) |
9,963 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XX79XX1X8
3691X8XX4
148X5X7X9
785261493
X3XXX9X15
92XX43X87
XX342785X
X7X31594X
5XXXXX372
Please try to solve this puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' representing empty cells).
The puzzle:
"XX79XX1X8"
"3691X8XX4"
"148X5X7X9"
"785261493"
"X3XXX9X15"
"92XX43X87"
"XX342785X"
"X7X31594X"
"5XXXXX372"
We need to solve it and output the solution as a tuple of 9 tup... | {"trace_id": "117f50af-9e97-46b3-9578-3031d8173ef1", "original_sudoku": [["X", "X", 7, 9, "X", "X", 1, "X", 8], [3, 6, 9, 1, "X", 8, "X", "X", 4], [1, 4, 8, "X", 5, "X", 7, "X", 9], [7, 8, 5, 2, 6, 1, 4, 9, 3], ["X", 3, "X", "X", "X", 9, "X", 1, 5], [9, 2, "X", "X", 4, 3, "X", 8, 7], ["X", "X", 3, 4, 2, 7, 8, 5, "X"], ... | ((2, 5, 7, 9, 3, 4, 1, 6, 8), (3, 6, 9, 1, 7, 8, 5, 2, 4), (1, 4, 8, 6, 5, 2, 7, 3, 9), (7, 8, 5, 2, 6, 1, 4, 9, 3), (4, 3, 6, 7, 8, 9, 2, 1, 5), (9, 2, 1, 5, 4, 3, 6, 8, 7), (6, 9, 3, 4, 2, 7, 8, 5, 1), (8, 7, 2, 3, 1, 5, 9, 4, 6), (5, 1, 4, 8, 9, 6, 3, 7, 2)) |
9,964 | 0 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
XX75X296X
XXXX9X857
596XXX43X
X69X2357X
XXX651XX9
3XXX7X12X
X8X26X7XX
67X9X428X
452XX76X3
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a string representation of a Sudoku grid. The grid is 9x9 and has some cells filled and some as 'X' (which we need to fill).
The grid as provided:
Row0: "XX75X296X"
Row1: "XXXX9X857"
Row2: "596XXX43X"
Row3: "X69X2357X"
Row4: "XXX651XX9"
Row5: "3XXX7X12X"
Row6: "X8X26X7XX"
Row7: "67X9X428X"
Row8: "... | {"trace_id": "586514d5-0746-4dcd-815b-d3f654fe8d09", "original_sudoku": [["X", "X", 7, 5, "X", 2, 9, 6, "X"], ["X", "X", "X", "X", 9, "X", 8, 5, 7], [5, 9, 6, "X", "X", "X", 4, 3, "X"], ["X", 6, 9, "X", 2, 3, 5, 7, "X"], ["X", "X", "X", 6, 5, 1, "X", "X", 9], [3, "X", "X", "X", 7, "X", 1, 2, "X"], ["X", 8, "X", 2, 6, "... | ((8, 3, 7, 5, 4, 2, 9, 6, 1), (2, 1, 4, 3, 9, 6, 8, 5, 7), (5, 9, 6, 7, 1, 8, 4, 3, 2), (1, 6, 9, 4, 2, 3, 5, 7, 8), (7, 2, 8, 6, 5, 1, 3, 4, 9), (3, 4, 5, 8, 7, 9, 1, 2, 6), (9, 8, 3, 2, 6, 5, 7, 1, 4), (6, 7, 1, 9, 3, 4, 2, 8, 5), (4, 5, 2, 1, 8, 7, 6, 9, 3)) |
9,964 | 1 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
XX75X296X
XXXX9X857
596XXX43X
X69X2357X
XXX651XX9
3XXX7X12X
X8X26X7XX
67X9X428X
452XX76X3
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a string representation of a Sudoku grid. The grid has 9 rows, each with 9 characters (some are digits, some are 'X' for unknown).
The grid as provided:
Row 0: "XX75X296X"
Row 1: "XXXX9X857"
Row 2: "596XXX43X"
Row 3: "X69X2357X"
Row 4: "XXX651XX9"
Row 5: "3XXX7X12X"
Row 6: "X8X26X7XX"
Row 7: "67X9... | {"trace_id": "586514d5-0746-4dcd-815b-d3f654fe8d09", "original_sudoku": [["X", "X", 7, 5, "X", 2, 9, 6, "X"], ["X", "X", "X", "X", 9, "X", 8, 5, 7], [5, 9, 6, "X", "X", "X", 4, 3, "X"], ["X", 6, 9, "X", 2, 3, 5, 7, "X"], ["X", "X", "X", 6, 5, 1, "X", "X", 9], [3, "X", "X", "X", 7, "X", 1, 2, "X"], ["X", 8, "X", 2, 6, "... | ((8, 3, 7, 5, 4, 2, 9, 6, 1), (2, 1, 4, 3, 9, 6, 8, 5, 7), (5, 9, 6, 7, 1, 8, 4, 3, 2), (1, 6, 9, 4, 2, 3, 5, 7, 8), (7, 2, 8, 6, 5, 1, 3, 4, 9), (3, 4, 5, 8, 7, 9, 1, 2, 6), (9, 8, 3, 2, 6, 5, 7, 1, 4), (6, 7, 1, 9, 3, 4, 2, 8, 5), (4, 5, 2, 1, 8, 7, 6, 9, 3)) |
9,965 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X57XX193X
913X25X84
X4X9XX157
XXXXX6719
XX1X9X8X6
X6X1XXXX3
7X5834X6X
XX4XX7X95
3X6519478
Please fill in all the empty spaces according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty)
The input is:
"X57XX193X"
"913X25X84"
"X4X9XX157"
"XXXXX6719"
"XX1X9X8X6"
"X6X1XXXX3"
"7X5834X6X"
"XX4XX7X95"
"3X6519478"
We need to solve it and output as a tuple of 9 tuples, each tuple being a row... | {"trace_id": "dee28299-a437-4e27-aac4-de27765a193f", "original_sudoku": [["X", 5, 7, "X", "X", 1, 9, 3, "X"], [9, 1, 3, "X", 2, 5, "X", 8, 4], ["X", 4, "X", 9, "X", "X", 1, 5, 7], ["X", "X", "X", "X", "X", 6, 7, 1, 9], ["X", "X", 1, "X", 9, "X", 8, "X", 6], ["X", 6, "X", 1, "X", "X", "X", "X", 3], [7, "X", 5, 8, 3, 4, ... | ((8, 5, 7, 6, 4, 1, 9, 3, 2), (9, 1, 3, 7, 2, 5, 6, 8, 4), (6, 4, 2, 9, 8, 3, 1, 5, 7), (2, 3, 8, 4, 5, 6, 7, 1, 9), (5, 7, 1, 3, 9, 2, 8, 4, 6), (4, 6, 9, 1, 7, 8, 5, 2, 3), (7, 9, 5, 8, 3, 4, 2, 6, 1), (1, 8, 4, 2, 6, 7, 3, 9, 5), (3, 2, 6, 5, 1, 9, 4, 7, 8)) |
9,965 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X57XX193X
913X25X84
X4X9XX157
XXXXX6719
XX1X9X8X6
X6X1XXXX3
7X5834X6X
XX4XX7X95
3X6519478
Please fill in all the empty spaces according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for empty).
The puzzle is:
"X57XX193X"
"913X25X84"
"X4X9XX157"
"XXXXX6719"
"XX1X9X8X6"
"X6X1XXXX3"
"7X5834X6X"
"XX4XX7X95"
"3X6519478"
We need to solve it and output a tuple of 9 tuples, each t... | {"trace_id": "dee28299-a437-4e27-aac4-de27765a193f", "original_sudoku": [["X", 5, 7, "X", "X", 1, 9, 3, "X"], [9, 1, 3, "X", 2, 5, "X", 8, 4], ["X", 4, "X", 9, "X", "X", 1, 5, 7], ["X", "X", "X", "X", "X", 6, 7, 1, 9], ["X", "X", 1, "X", 9, "X", 8, "X", 6], ["X", 6, "X", 1, "X", "X", "X", "X", 3], [7, "X", 5, 8, 3, 4, ... | ((8, 5, 7, 6, 4, 1, 9, 3, 2), (9, 1, 3, 7, 2, 5, 6, 8, 4), (6, 4, 2, 9, 8, 3, 1, 5, 7), (2, 3, 8, 4, 5, 6, 7, 1, 9), (5, 7, 1, 3, 9, 2, 8, 4, 6), (4, 6, 9, 1, 7, 8, 5, 2, 3), (7, 9, 5, 8, 3, 4, 2, 6, 1), (1, 8, 4, 2, 6, 7, 3, 9, 5), (3, 2, 6, 5, 1, 9, 4, 7, 8)) |
9,966 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
XXX63XXX7
571248396
X4X7915XX
XX2X6X7XX
X53812X6X
61XX5X283
2653XXXXX
XXXX7X832
X37X24XXX
Please fill in all the empty spaces according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly... | <think>
We are given a Sudoku puzzle with some numbers and some empty spaces (represented by 'X').
The puzzle is provided as a list of strings (each string is a row of 9 characters).
Steps:
1. We'll represent the grid as a 9x9 list of lists (or list of strings) but we'll convert the 'X' to a placeholder (like None ... | {"trace_id": "02d07b94-939f-4c4f-b1b0-da86bcd608c2", "original_sudoku": [["X", "X", "X", 6, 3, "X", "X", "X", 7], [5, 7, 1, 2, 4, 8, 3, 9, 6], ["X", 4, "X", 7, 9, 1, 5, "X", "X"], ["X", "X", 2, "X", 6, "X", 7, "X", "X"], ["X", 5, 3, 8, 1, 2, "X", 6, "X"], [6, 1, "X", "X", 5, "X", 2, 8, 3], [2, 6, 5, 3, "X", "X", "X", "... | ((9, 2, 8, 6, 3, 5, 1, 4, 7), (5, 7, 1, 2, 4, 8, 3, 9, 6), (3, 4, 6, 7, 9, 1, 5, 2, 8), (4, 8, 2, 9, 6, 3, 7, 1, 5), (7, 5, 3, 8, 1, 2, 9, 6, 4), (6, 1, 9, 4, 5, 7, 2, 8, 3), (2, 6, 5, 3, 8, 9, 4, 7, 1), (1, 9, 4, 5, 7, 6, 8, 3, 2), (8, 3, 7, 1, 2, 4, 6, 5, 9)) |
9,966 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
XXX63XXX7
571248396
X4X7915XX
XX2X6X7XX
X53812X6X
61XX5X283
2653XXXXX
XXXX7X832
X37X24XXX
Please fill in all the empty spaces according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty and digits for filled cells).
The puzzle:
Line 0: "XXX63XXX7"
Line 1: "571248396"
Line 2: "X4X7915XX"
Line 3: "XX2X6X7XX"
Line 4: "X53812X6X"
Line 5: "61XX5X283"
Line 6: "2653XXXXX"
Line 7: "XXXX7X832"
Line 8: "... | {"trace_id": "02d07b94-939f-4c4f-b1b0-da86bcd608c2", "original_sudoku": [["X", "X", "X", 6, 3, "X", "X", "X", 7], [5, 7, 1, 2, 4, 8, 3, 9, 6], ["X", 4, "X", 7, 9, 1, 5, "X", "X"], ["X", "X", 2, "X", 6, "X", 7, "X", "X"], ["X", 5, 3, 8, 1, 2, "X", 6, "X"], [6, 1, "X", "X", 5, "X", 2, 8, 3], [2, 6, 5, 3, "X", "X", "X", "... | ((9, 2, 8, 6, 3, 5, 1, 4, 7), (5, 7, 1, 2, 4, 8, 3, 9, 6), (3, 4, 6, 7, 9, 1, 5, 2, 8), (4, 8, 2, 9, 6, 3, 7, 1, 5), (7, 5, 3, 8, 1, 2, 9, 6, 4), (6, 1, 9, 4, 5, 7, 2, 8, 3), (2, 6, 5, 3, 8, 9, 4, 7, 1), (1, 9, 4, 5, 7, 6, 8, 3, 2), (8, 3, 7, 1, 2, 4, 6, 5, 9)) |
9,967 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X984X53XX
53X29X876
X17XXX549
X7312XX65
9X1XX6XX8
XX6X49X2X
X8X917654
X4X6XX7X3
XXXXX42X1
Please fill in all the empty spaces according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repe... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty)
The puzzle:
X984X53XX
53X29X876
X17XXX549
X7312XX65
9X1XX6XX8
XX6X49X2X
X8X917654
X4X6XX7X3
XXXXX42X1
Steps:
1. We'll represent the grid as a 9x9 list of lists (or a list of strings) but we need to ... | {"trace_id": "0ba0282e-3b42-4c82-b758-84822f739e10", "original_sudoku": [["X", 9, 8, 4, "X", 5, 3, "X", "X"], [5, 3, "X", 2, 9, "X", 8, 7, 6], ["X", 1, 7, "X", "X", "X", 5, 4, 9], ["X", 7, 3, 1, 2, "X", "X", 6, 5], [9, "X", 1, "X", "X", 6, "X", "X", 8], ["X", "X", 6, "X", 4, 9, "X", 2, "X"], ["X", 8, "X", 9, 1, 7, 6, 5... | ((6, 9, 8, 4, 7, 5, 3, 1, 2), (5, 3, 4, 2, 9, 1, 8, 7, 6), (2, 1, 7, 8, 6, 3, 5, 4, 9), (4, 7, 3, 1, 2, 8, 9, 6, 5), (9, 2, 1, 7, 5, 6, 4, 3, 8), (8, 5, 6, 3, 4, 9, 1, 2, 7), (3, 8, 2, 9, 1, 7, 6, 5, 4), (1, 4, 5, 6, 8, 2, 7, 9, 3), (7, 6, 9, 5, 3, 4, 2, 8, 1)) |
9,967 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X984X53XX
53X29X876
X17XXX549
X7312XX65
9X1XX6XX8
XX6X49X2X
X8X917654
X4X6XX7X3
XXXXX42X1
Please fill in all the empty spaces according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repe... | <think>
We are given a Sudoku puzzle with some numbers and X's for empty spaces.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll represent the grid with integers for the numbers and 0 for the empty s... | {"trace_id": "0ba0282e-3b42-4c82-b758-84822f739e10", "original_sudoku": [["X", 9, 8, 4, "X", 5, 3, "X", "X"], [5, 3, "X", 2, 9, "X", 8, 7, 6], ["X", 1, 7, "X", "X", "X", 5, 4, 9], ["X", 7, 3, 1, 2, "X", "X", 6, 5], [9, "X", 1, "X", "X", 6, "X", "X", 8], ["X", "X", 6, "X", 4, 9, "X", 2, "X"], ["X", 8, "X", 9, 1, 7, 6, 5... | ((6, 9, 8, 4, 7, 5, 3, 1, 2), (5, 3, 4, 2, 9, 1, 8, 7, 6), (2, 1, 7, 8, 6, 3, 5, 4, 9), (4, 7, 3, 1, 2, 8, 9, 6, 5), (9, 2, 1, 7, 5, 6, 4, 3, 8), (8, 5, 6, 3, 4, 9, 1, 2, 7), (3, 8, 2, 9, 1, 7, 6, 5, 4), (1, 4, 5, 6, 8, 2, 7, 9, 3), (7, 6, 9, 5, 3, 4, 2, 8, 1)) |
9,968 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
XXXX12XX6
XXX497512
142856397
45962X7X8
6XX7X825X
827539XXX
X8X975XX3
X132X4XXX
576XX3X24
Please fill in all the empty spaces according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly... | <think>
We are given a Sudoku puzzle with some numbers and some 'X' for empty spaces.
The puzzle is represented as 9 lines of 9 characters each.
Steps:
1. We'll represent the grid as a 9x9 list of lists.
2. We'll convert the input string into a grid. Note: the input has 'X' for empty and digits for filled.
3. We'... | {"trace_id": "929a33eb-2488-4a93-913a-1abd75db59ba", "original_sudoku": [["X", "X", "X", "X", 1, 2, "X", "X", 6], ["X", "X", "X", 4, 9, 7, 5, 1, 2], [1, 4, 2, 8, 5, 6, 3, 9, 7], [4, 5, 9, 6, 2, "X", 7, "X", 8], [6, "X", "X", 7, "X", 8, 2, 5, "X"], [8, 2, 7, 5, 3, 9, "X", "X", "X"], ["X", 8, "X", 9, 7, 5, "X", "X", 3], ... | ((7, 9, 5, 3, 1, 2, 4, 8, 6), (3, 6, 8, 4, 9, 7, 5, 1, 2), (1, 4, 2, 8, 5, 6, 3, 9, 7), (4, 5, 9, 6, 2, 1, 7, 3, 8), (6, 3, 1, 7, 4, 8, 2, 5, 9), (8, 2, 7, 5, 3, 9, 6, 4, 1), (2, 8, 4, 9, 7, 5, 1, 6, 3), (9, 1, 3, 2, 6, 4, 8, 7, 5), (5, 7, 6, 1, 8, 3, 9, 2, 4)) |
9,968 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
XXXX12XX6
XXX497512
142856397
45962X7X8
6XX7X825X
827539XXX
X8X975XX3
X132X4XXX
576XX3X24
Please fill in all the empty spaces according to Sudoku rules.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty).
The puzzle:
X X X X 1 2 X X 6
X X X 4 9 7 5 1 2
1 4 2 8 5 6 3 9 7
4 5 9 6 2 X 7 X 8
6 X X 7 X 8 2 5 X
8 2 7 5 3 9 X X X
X 8 X 9 7 5 X X 3
X 1 3 2 X 4 X X X
5 7 6 X X 3 X 2 4
We need to solve it and ... | {"trace_id": "929a33eb-2488-4a93-913a-1abd75db59ba", "original_sudoku": [["X", "X", "X", "X", 1, 2, "X", "X", 6], ["X", "X", "X", 4, 9, 7, 5, 1, 2], [1, 4, 2, 8, 5, 6, 3, 9, 7], [4, 5, 9, 6, 2, "X", 7, "X", 8], [6, "X", "X", 7, "X", 8, 2, 5, "X"], [8, 2, 7, 5, 3, 9, "X", "X", "X"], ["X", 8, "X", 9, 7, 5, "X", "X", 3], ... | ((7, 9, 5, 3, 1, 2, 4, 8, 6), (3, 6, 8, 4, 9, 7, 5, 1, 2), (1, 4, 2, 8, 5, 6, 3, 9, 7), (4, 5, 9, 6, 2, 1, 7, 3, 8), (6, 3, 1, 7, 4, 8, 2, 5, 9), (8, 2, 7, 5, 3, 9, 6, 4, 1), (2, 8, 4, 9, 7, 5, 1, 6, 3), (9, 1, 3, 2, 6, 4, 8, 7, 5), (5, 7, 6, 1, 8, 3, 9, 2, 4)) |
9,969 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
83XX2XXXX
954X1XX28
XXXX85X97
XXX1XXX3X
X9X2X8X6X
2X16X35X9
34X76X8X2
X26894173
7XXXX2X4X
Please fill in all the empty spaces according to Sudoku rules.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for empty)
The puzzle:
83XX2XXXX
954X1XX28
XXX85X97
XXX1XXX3X
X9X2X8X6X
2X16X35X9
34X76X8X2
X26894173
7XXXX2X4X
We need to solve it and output as a tuple of 9 tuples, each of 9 integer... | {"trace_id": "e709caa0-022c-4965-b55e-6227bf08beb3", "original_sudoku": [[8, 3, "X", "X", 2, "X", "X", "X", "X"], [9, 5, 4, "X", 1, "X", "X", 2, 8], ["X", "X", "X", "X", 8, 5, "X", 9, 7], ["X", "X", "X", 1, "X", "X", "X", 3, "X"], ["X", 9, "X", 2, "X", 8, "X", 6, "X"], [2, "X", 1, 6, "X", 3, 5, "X", 9], [3, 4, "X", 7, ... | ((8, 3, 7, 9, 2, 6, 4, 1, 5), (9, 5, 4, 3, 1, 7, 6, 2, 8), (1, 6, 2, 4, 8, 5, 3, 9, 7), (6, 8, 5, 1, 7, 9, 2, 3, 4), (4, 9, 3, 2, 5, 8, 7, 6, 1), (2, 7, 1, 6, 4, 3, 5, 8, 9), (3, 4, 9, 7, 6, 1, 8, 5, 2), (5, 2, 6, 8, 9, 4, 1, 7, 3), (7, 1, 8, 5, 3, 2, 9, 4, 6)) |
9,969 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
83XX2XXXX
954X1XX28
XXXX85X97
XXX1XXX3X
X9X2X8X6X
2X16X35X9
34X76X8X2
X26894173
7XXXX2X4X
Please fill in all the empty spaces according to Sudoku rules.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for empty).
We need to solve it and output the solution as a tuple of 9 tuples, each inner tuple having 9 integers (the solved row).
Steps:
1. Represent the grid as a 9x9 matrix of characters (or i... | {"trace_id": "e709caa0-022c-4965-b55e-6227bf08beb3", "original_sudoku": [[8, 3, "X", "X", 2, "X", "X", "X", "X"], [9, 5, 4, "X", 1, "X", "X", 2, 8], ["X", "X", "X", "X", 8, 5, "X", 9, 7], ["X", "X", "X", 1, "X", "X", "X", 3, "X"], ["X", 9, "X", 2, "X", 8, "X", 6, "X"], [2, "X", 1, 6, "X", 3, 5, "X", 9], [3, 4, "X", 7, ... | ((8, 3, 7, 9, 2, 6, 4, 1, 5), (9, 5, 4, 3, 1, 7, 6, 2, 8), (1, 6, 2, 4, 8, 5, 3, 9, 7), (6, 8, 5, 1, 7, 9, 2, 3, 4), (4, 9, 3, 2, 5, 8, 7, 6, 1), (2, 7, 1, 6, 4, 3, 5, 8, 9), (3, 4, 9, 7, 6, 1, 8, 5, 2), (5, 2, 6, 8, 9, 4, 1, 7, 3), (7, 1, 8, 5, 3, 2, 9, 4, 6)) |
9,970 | 0 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
XXX147389
XX489XX2X
X896257X4
43578XX6X
X18956243
X6X3X4857
54XX69138
6XXX3847X
X2X4716XX
Please fill in all the Xs.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provide your answer at the ... | <think>
We are given a Sudoku grid with some numbers and some 'X' for unknowns.
The grid is provided as 9 lines of strings. Each line has 9 characters (digits or 'X').
Steps:
1. Parse the input grid.
2. We'll represent the grid as a 9x9 list of lists, where each element is either a digit (as string) or 'X'.
3. We... | {"trace_id": "80d8b368-fa76-4824-83c7-5bb5dae59a64", "original_sudoku": [["X", "X", "X", 1, 4, 7, 3, 8, 9], ["X", "X", 4, 8, 9, "X", "X", 2, "X"], ["X", 8, 9, 6, 2, 5, 7, "X", 4], [4, 3, 5, 7, 8, "X", "X", 6, "X"], ["X", 1, 8, 9, 5, 6, 2, 4, 3], ["X", 6, "X", 3, "X", 4, 8, 5, 7], [5, 4, "X", "X", 6, 9, 1, 3, 8], [6, "X... | ((2, 5, 6, 1, 4, 7, 3, 8, 9), (1, 7, 4, 8, 9, 3, 5, 2, 6), (3, 8, 9, 6, 2, 5, 7, 1, 4), (4, 3, 5, 7, 8, 2, 9, 6, 1), (7, 1, 8, 9, 5, 6, 2, 4, 3), (9, 6, 2, 3, 1, 4, 8, 5, 7), (5, 4, 7, 2, 6, 9, 1, 3, 8), (6, 9, 1, 5, 3, 8, 4, 7, 2), (8, 2, 3, 4, 7, 1, 6, 9, 5)) |
9,970 | 1 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
XXX147389
XX489XX2X
X896257X4
43578XX6X
X18956243
X6X3X4857
54XX69138
6XXX3847X
X2X4716XX
Please fill in all the Xs.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provide your answer at the ... | <think>
We are given a Sudoku puzzle with some numbers and some 'X's representing unknown digits.
The puzzle is provided as 9 lines of strings, each string has 9 characters (some are digits, some are 'X').
Steps:
1. We'll represent the grid as a 9x9 list of lists (or a list of strings) but we'll convert the 'X' to ... | {"trace_id": "80d8b368-fa76-4824-83c7-5bb5dae59a64", "original_sudoku": [["X", "X", "X", 1, 4, 7, 3, 8, 9], ["X", "X", 4, 8, 9, "X", "X", 2, "X"], ["X", 8, 9, 6, 2, 5, 7, "X", 4], [4, 3, 5, 7, 8, "X", "X", 6, "X"], ["X", 1, 8, 9, 5, 6, 2, 4, 3], ["X", 6, "X", 3, "X", 4, 8, 5, 7], [5, 4, "X", "X", 6, 9, 1, 3, 8], [6, "X... | ((2, 5, 6, 1, 4, 7, 3, 8, 9), (1, 7, 4, 8, 9, 3, 5, 2, 6), (3, 8, 9, 6, 2, 5, 7, 1, 4), (4, 3, 5, 7, 8, 2, 9, 6, 1), (7, 1, 8, 9, 5, 6, 2, 4, 3), (9, 6, 2, 3, 1, 4, 8, 5, 7), (5, 4, 7, 2, 6, 9, 1, 3, 8), (6, 9, 1, 5, 3, 8, 4, 7, 2), (8, 2, 3, 4, 7, 1, 6, 9, 5)) |
9,971 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X614X95X2
9X36274X1
7X2X8X9XX
384X726XX
XX7XX623X
X2934X817
298753X46
4XX218795
1X5X6432X
Please fill in all the empty spaces according to Sudoku rules.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 withou... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for empty).
The puzzle:
X614X95X2
9X36274X1
7X2X8X9XX
384X726XX
XX7XX623X
X2934X817
298753X46
4XX218795
1X5X6432X
We need to solve it and output the solved grid as a tuple of 9 tuples, each... | {"trace_id": "f850cb26-c6df-4a14-8882-32ecb201d75b", "original_sudoku": [["X", 6, 1, 4, "X", 9, 5, "X", 2], [9, "X", 3, 6, 2, 7, 4, "X", 1], [7, "X", 2, "X", 8, "X", 9, "X", "X"], [3, 8, 4, "X", 7, 2, 6, "X", "X"], ["X", "X", 7, "X", "X", 6, 2, 3, "X"], ["X", 2, 9, 3, 4, "X", 8, 1, 7], [2, 9, 8, 7, 5, 3, "X", 4, 6], [4... | ((8, 6, 1, 4, 3, 9, 5, 7, 2), (9, 5, 3, 6, 2, 7, 4, 8, 1), (7, 4, 2, 5, 8, 1, 9, 6, 3), (3, 8, 4, 1, 7, 2, 6, 5, 9), (5, 1, 7, 8, 9, 6, 2, 3, 4), (6, 2, 9, 3, 4, 5, 8, 1, 7), (2, 9, 8, 7, 5, 3, 1, 4, 6), (4, 3, 6, 2, 1, 8, 7, 9, 5), (1, 7, 5, 9, 6, 4, 3, 2, 8)) |
9,971 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X614X95X2
9X36274X1
7X2X8X9XX
384X726XX
XX7XX623X
X2934X817
298753X46
4XX218795
1X5X6432X
Please fill in all the empty spaces according to Sudoku rules.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 withou... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for empty).
The puzzle:
Line 0: X614X95X2
Line 1: 9X36274X1
Line 2: 7X2X8X9XX
Line 3: 384X726XX
Line 4: XX7XX623X
Line 5: X2934X817
Line 6: 298753X46
Line 7: 4XX218795
Line 8: 1X5X6432X
We need... | {"trace_id": "f850cb26-c6df-4a14-8882-32ecb201d75b", "original_sudoku": [["X", 6, 1, 4, "X", 9, 5, "X", 2], [9, "X", 3, 6, 2, 7, 4, "X", 1], [7, "X", 2, "X", 8, "X", 9, "X", "X"], [3, 8, 4, "X", 7, 2, 6, "X", "X"], ["X", "X", 7, "X", "X", 6, 2, 3, "X"], ["X", 2, 9, 3, 4, "X", 8, 1, 7], [2, 9, 8, 7, 5, 3, "X", 4, 6], [4... | ((8, 6, 1, 4, 3, 9, 5, 7, 2), (9, 5, 3, 6, 2, 7, 4, 8, 1), (7, 4, 2, 5, 8, 1, 9, 6, 3), (3, 8, 4, 1, 7, 2, 6, 5, 9), (5, 1, 7, 8, 9, 6, 2, 3, 4), (6, 2, 9, 3, 4, 5, 8, 1, 7), (2, 9, 8, 7, 5, 3, 1, 4, 6), (4, 3, 6, 2, 1, 8, 7, 9, 5), (1, 7, 5, 9, 6, 4, 3, 2, 8)) |
9,972 | 0 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
9X78463XX
83X152X94
XXX9X3568
2XX36X8XX
4852XX6X7
6XXXXX219
X4X6X8X7X
3XXX15XXX
7X8X2X1XX
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a 9x9 Sudoku grid as a string of 9 lines, each line having 9 characters (some are digits, some are 'X' for unknowns).
The grid:
"9X78463XX"
"83X152X94"
"XXX9X3568"
"2XX36X8XX"
"4852XX6X7"
"6XXXXX219"
"X4X6X8X7X"
"3XXX15XXX"
"7X8X2X1XX"
We need to solve the Sudoku and output the solution... | {"trace_id": "067820ac-88e6-4420-ad58-e258c50047b7", "original_sudoku": [[9, "X", 7, 8, 4, 6, 3, "X", "X"], [8, 3, "X", 1, 5, 2, "X", 9, 4], ["X", "X", "X", 9, "X", 3, 5, 6, 8], [2, "X", "X", 3, 6, "X", 8, "X", "X"], [4, 8, 5, 2, "X", "X", 6, "X", 7], [6, "X", "X", "X", "X", "X", 2, 1, 9], ["X", 4, "X", 6, "X", 8, "X",... | ((9, 5, 7, 8, 4, 6, 3, 2, 1), (8, 3, 6, 1, 5, 2, 7, 9, 4), (1, 2, 4, 9, 7, 3, 5, 6, 8), (2, 1, 9, 3, 6, 7, 8, 4, 5), (4, 8, 5, 2, 9, 1, 6, 3, 7), (6, 7, 3, 5, 8, 4, 2, 1, 9), (5, 4, 1, 6, 3, 8, 9, 7, 2), (3, 9, 2, 7, 1, 5, 4, 8, 6), (7, 6, 8, 4, 2, 9, 1, 5, 3)) |
9,972 | 1 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
9X78463XX
83X152X94
XXX9X3568
2XX36X8XX
4852XX6X7
6XXXXX219
X4X6X8X7X
3XXX15XXX
7X8X2X1XX
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a string representation of a Sudoku grid. The grid is 9x9 and has some numbers and some 'X's (which we need to fill).
The grid as given:
Row 0: 9X78463XX
Row 1: 83X152X94
Row 2: XXX9X3568
Row 3: 2XX36X8XX
Row 4: 4852XX6X7
Row 5: 6XXXXX219
Row 6: X4X6X8X7X
Row 7: 3XXX15XXX
Row 8: 7X8X2X1XX
We note... | {"trace_id": "067820ac-88e6-4420-ad58-e258c50047b7", "original_sudoku": [[9, "X", 7, 8, 4, 6, 3, "X", "X"], [8, 3, "X", 1, 5, 2, "X", 9, 4], ["X", "X", "X", 9, "X", 3, 5, 6, 8], [2, "X", "X", 3, 6, "X", 8, "X", "X"], [4, 8, 5, 2, "X", "X", 6, "X", 7], [6, "X", "X", "X", "X", "X", 2, 1, 9], ["X", 4, "X", 6, "X", 8, "X",... | ((9, 5, 7, 8, 4, 6, 3, 2, 1), (8, 3, 6, 1, 5, 2, 7, 9, 4), (1, 2, 4, 9, 7, 3, 5, 6, 8), (2, 1, 9, 3, 6, 7, 8, 4, 5), (4, 8, 5, 2, 9, 1, 6, 3, 7), (6, 7, 3, 5, 8, 4, 2, 1, 9), (5, 4, 1, 6, 3, 8, 9, 7, 2), (3, 9, 2, 7, 1, 5, 4, 8, 6), (7, 6, 8, 4, 2, 9, 1, 5, 3)) |
9,973 | 0 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
XXXXX3479
9X785431X
X4X9XXX6X
48X7362X1
1XXX9X6X7
5X6412XXX
X98X65XX4
X5X24X7X8
X2X18759X
Please solve this puzzle according to Sudoku rules.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and ... | <think>
We are given a Sudoku grid with some numbers and X's. We need to fill in the X's so that each row, column, and 3x3 subgrid contains the digits 1-9 exactly once.
The grid is provided as a string of 9 lines. Each line has 9 characters (some are digits, some are 'X').
Let me write the grid as a 2D list for clari... | {"trace_id": "b10d19fe-7aa7-4759-b17c-3b11d404e5fb", "original_sudoku": [["X", "X", "X", "X", "X", 3, 4, 7, 9], [9, "X", 7, 8, 5, 4, 3, 1, "X"], ["X", 4, "X", 9, "X", "X", "X", 6, "X"], [4, 8, "X", 7, 3, 6, 2, "X", 1], [1, "X", "X", "X", 9, "X", 6, "X", 7], [5, "X", 6, 4, 1, 2, "X", "X", "X"], ["X", 9, 8, "X", 6, 5, "X... | ((8, 1, 5, 6, 2, 3, 4, 7, 9), (9, 6, 7, 8, 5, 4, 3, 1, 2), (2, 4, 3, 9, 7, 1, 8, 6, 5), (4, 8, 9, 7, 3, 6, 2, 5, 1), (1, 3, 2, 5, 9, 8, 6, 4, 7), (5, 7, 6, 4, 1, 2, 9, 8, 3), (7, 9, 8, 3, 6, 5, 1, 2, 4), (6, 5, 1, 2, 4, 9, 7, 3, 8), (3, 2, 4, 1, 8, 7, 5, 9, 6)) |
9,973 | 1 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
XXXXX3479
9X785431X
X4X9XXX6X
48X7362X1
1XXX9X6X7
5X6412XXX
X98X65XX4
X5X24X7X8
X2X18759X
Please solve this puzzle according to Sudoku rules.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and ... | <think>
We are given a Sudoku grid with some numbers and X's (which we need to fill). The grid is provided as a string of lines.
The grid:
Line 0: XXXXX3479
Line 1: 9X785431X
Line 2: X4X9XXX6X
Line 3: 48X7362X1
Line 4: 1XXX9X6X7
Line 5: 5X6412XXX
Line 6: X98X65XX4
Line 7: X5X24X7X8
Line 8: X2X18759X
We note that the... | {"trace_id": "b10d19fe-7aa7-4759-b17c-3b11d404e5fb", "original_sudoku": [["X", "X", "X", "X", "X", 3, 4, 7, 9], [9, "X", 7, 8, 5, 4, 3, 1, "X"], ["X", 4, "X", 9, "X", "X", "X", 6, "X"], [4, 8, "X", 7, 3, 6, 2, "X", 1], [1, "X", "X", "X", 9, "X", 6, "X", 7], [5, "X", 6, 4, 1, 2, "X", "X", "X"], ["X", 9, 8, "X", 6, 5, "X... | ((8, 1, 5, 6, 2, 3, 4, 7, 9), (9, 6, 7, 8, 5, 4, 3, 1, 2), (2, 4, 3, 9, 7, 1, 8, 6, 5), (4, 8, 9, 7, 3, 6, 2, 5, 1), (1, 3, 2, 5, 9, 8, 6, 4, 7), (5, 7, 6, 4, 1, 2, 9, 8, 3), (7, 9, 8, 3, 6, 5, 1, 2, 4), (6, 5, 1, 2, 4, 9, 7, 3, 8), (3, 2, 4, 1, 8, 7, 5, 9, 6)) |
9,974 | 0 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
X5X96X34X
XXX13X79X
9X257X618
5837XXXX6
176823954
24X6XX8XX
X273X65X1
6XXXX547X
X15X8X2XX
Please complete this Sudoku game.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provide yo... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as a string of 9 lines, each line has 9 characters (some are digits, some are 'X').
Steps:
1. Parse the input grid into a 9x9 list of lists (or a list of strings) for easier manipulation.
2. We'll represent ... | {"trace_id": "d8bcdbaa-29dd-46d0-b106-48a0e77f4ff8", "original_sudoku": [["X", 5, "X", 9, 6, "X", 3, 4, "X"], ["X", "X", "X", 1, 3, "X", 7, 9, "X"], [9, "X", 2, 5, 7, "X", 6, 1, 8], [5, 8, 3, 7, "X", "X", "X", "X", 6], [1, 7, 6, 8, 2, 3, 9, 5, 4], [2, 4, "X", 6, "X", "X", 8, "X", "X"], ["X", 2, 7, 3, "X", 6, 5, "X", 1]... | ((7, 5, 1, 9, 6, 8, 3, 4, 2), (8, 6, 4, 1, 3, 2, 7, 9, 5), (9, 3, 2, 5, 7, 4, 6, 1, 8), (5, 8, 3, 7, 4, 9, 1, 2, 6), (1, 7, 6, 8, 2, 3, 9, 5, 4), (2, 4, 9, 6, 5, 1, 8, 3, 7), (4, 2, 7, 3, 9, 6, 5, 8, 1), (6, 9, 8, 2, 1, 5, 4, 7, 3), (3, 1, 5, 4, 8, 7, 2, 6, 9)) |
9,974 | 1 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
X5X96X34X
XXX13X79X
9X257X618
5837XXXX6
176823954
24X6XX8XX
X273X65X1
6XXXX547X
X15X8X2XX
Please complete this Sudoku game.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provide yo... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll create a function to check the validity of a number in a row, co... | {"trace_id": "d8bcdbaa-29dd-46d0-b106-48a0e77f4ff8", "original_sudoku": [["X", 5, "X", 9, 6, "X", 3, 4, "X"], ["X", "X", "X", 1, 3, "X", 7, 9, "X"], [9, "X", 2, 5, 7, "X", 6, 1, 8], [5, 8, 3, 7, "X", "X", "X", "X", 6], [1, 7, 6, 8, 2, 3, 9, 5, 4], [2, 4, "X", 6, "X", "X", 8, "X", "X"], ["X", 2, 7, 3, "X", 6, 5, "X", 1]... | ((7, 5, 1, 9, 6, 8, 3, 4, 2), (8, 6, 4, 1, 3, 2, 7, 9, 5), (9, 3, 2, 5, 7, 4, 6, 1, 8), (5, 8, 3, 7, 4, 9, 1, 2, 6), (1, 7, 6, 8, 2, 3, 9, 5, 4), (2, 4, 9, 6, 5, 1, 8, 3, 7), (4, 2, 7, 3, 9, 6, 5, 8, 1), (6, 9, 8, 2, 1, 5, 4, 7, 3), (3, 1, 5, 4, 8, 7, 2, 6, 9)) |
9,975 | 0 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
9X3XXXX67
X265X189X
841X975X2
XX2XX4X89
1XXXX3245
5X428X7X6
41XX7XX2X
XX98XXXX3
3XXXXX6XX
Please complete this Sudoku game.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please prov... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll write helper functions to check the validity of a number in a ro... | {"trace_id": "607b59a3-c7b9-4478-b996-b47474725404", "original_sudoku": [[9, "X", 3, "X", "X", "X", "X", 6, 7], ["X", 2, 6, 5, "X", 1, 8, 9, "X"], [8, 4, 1, "X", 9, 7, 5, "X", 2], ["X", "X", 2, "X", "X", 4, "X", 8, 9], [1, "X", "X", "X", "X", 3, 2, 4, 5], [5, "X", 4, 2, 8, "X", 7, "X", 6], [4, 1, "X", "X", 7, "X", "X",... | ((9, 5, 3, 4, 2, 8, 1, 6, 7), (7, 2, 6, 5, 3, 1, 8, 9, 4), (8, 4, 1, 6, 9, 7, 5, 3, 2), (6, 7, 2, 1, 5, 4, 3, 8, 9), (1, 9, 8, 7, 6, 3, 2, 4, 5), (5, 3, 4, 2, 8, 9, 7, 1, 6), (4, 1, 5, 3, 7, 6, 9, 2, 8), (2, 6, 9, 8, 1, 5, 4, 7, 3), (3, 8, 7, 9, 4, 2, 6, 5, 1)) |
9,975 | 1 | sudoku | Attempt to solve this 9x9 Sudoku game, where X represents empty cells:
9X3XXXX67
X265X189X
841X975X2
XX2XX4X89
1XXXX3245
5X428X7X6
41XX7XX2X
XX98XXXX3
3XXXXX6XX
Please complete this Sudoku game.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please prov... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for empty cells.
The grid is provided as:
9X3XXXX67
X265X189X
841X975X2
XX2XX4X89
1XXXX3245
5X428X7X6
41XX7XX2X
XX98XXXX3
3XXXXX6XX
We need to fill in the empty cells (X) so that each row, column, and 3x3 subgrid contains the digits 1-9 e... | {"trace_id": "607b59a3-c7b9-4478-b996-b47474725404", "original_sudoku": [[9, "X", 3, "X", "X", "X", "X", 6, 7], ["X", 2, 6, 5, "X", 1, 8, 9, "X"], [8, 4, 1, "X", 9, 7, 5, "X", 2], ["X", "X", 2, "X", "X", 4, "X", 8, 9], [1, "X", "X", "X", "X", 3, 2, 4, 5], [5, "X", 4, 2, 8, "X", 7, "X", 6], [4, 1, "X", "X", 7, "X", "X",... | ((9, 5, 3, 4, 2, 8, 1, 6, 7), (7, 2, 6, 5, 3, 1, 8, 9, 4), (8, 4, 1, 6, 9, 7, 5, 3, 2), (6, 7, 2, 1, 5, 4, 3, 8, 9), (1, 9, 8, 7, 6, 3, 2, 4, 5), (5, 3, 4, 2, 8, 9, 7, 1, 6), (4, 1, 5, 3, 7, 6, 9, 2, 8), (2, 6, 9, 8, 1, 5, 4, 7, 3), (3, 8, 7, 9, 4, 2, 6, 5, 1)) |
9,976 | 0 | sudoku | Here is a 9x9 Sudoku puzzle, where X represents a hidden number that needs to be filled in:
1XXX452X6
XX3872XX4
X54X9X387
X32X56X4X
6XX2XXX5X
54X9378X2
X2XXXX6XX
XX67XX9XX
78XXXX4X1
Please solve it.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provid... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X' for unknowns.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid of characters.
2. We'll represent the grid as a list of lists of characters (or integers? but... | {"trace_id": "c478bf49-e9bf-4c17-bdb5-b03be3fd03ab", "original_sudoku": [[1, "X", "X", "X", 4, 5, 2, "X", 6], ["X", "X", 3, 8, 7, 2, "X", "X", 4], ["X", 5, 4, "X", 9, "X", 3, 8, 7], ["X", 3, 2, "X", 5, 6, "X", 4, "X"], [6, "X", "X", 2, "X", "X", "X", 5, "X"], [5, 4, "X", 9, 3, 7, 8, "X", 2], ["X", 2, "X", "X", "X", "X"... | ((1, 7, 8, 3, 4, 5, 2, 9, 6), (9, 6, 3, 8, 7, 2, 5, 1, 4), (2, 5, 4, 6, 9, 1, 3, 8, 7), (8, 3, 2, 1, 5, 6, 7, 4, 9), (6, 9, 7, 2, 8, 4, 1, 5, 3), (5, 4, 1, 9, 3, 7, 8, 6, 2), (3, 2, 5, 4, 1, 9, 6, 7, 8), (4, 1, 6, 7, 2, 8, 9, 3, 5), (7, 8, 9, 5, 6, 3, 4, 2, 1)) |
9,976 | 1 | sudoku | Here is a 9x9 Sudoku puzzle, where X represents a hidden number that needs to be filled in:
1XXX452X6
XX3872XX4
X54X9X387
X32X56X4X
6XX2XXX5X
54X9378X2
X2XXXX6XX
XX67XX9XX
78XXXX4X1
Please solve it.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provid... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X's for missing numbers.
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll use a standard backtracking algorithm to solve the Sudoku, ... | {"trace_id": "c478bf49-e9bf-4c17-bdb5-b03be3fd03ab", "original_sudoku": [[1, "X", "X", "X", 4, 5, 2, "X", 6], ["X", "X", 3, 8, 7, 2, "X", "X", 4], ["X", 5, 4, "X", 9, "X", 3, 8, 7], ["X", 3, 2, "X", 5, 6, "X", 4, "X"], [6, "X", "X", 2, "X", "X", "X", 5, "X"], [5, 4, "X", 9, 3, 7, 8, "X", 2], ["X", 2, "X", "X", "X", "X"... | ((1, 7, 8, 3, 4, 5, 2, 9, 6), (9, 6, 3, 8, 7, 2, 5, 1, 4), (2, 5, 4, 6, 9, 1, 3, 8, 7), (8, 3, 2, 1, 5, 6, 7, 4, 9), (6, 9, 7, 2, 8, 4, 1, 5, 3), (5, 4, 1, 9, 3, 7, 8, 6, 2), (3, 2, 5, 4, 1, 9, 6, 7, 8), (4, 1, 6, 7, 2, 8, 9, 3, 5), (7, 8, 9, 5, 6, 3, 4, 2, 1)) |
9,977 | 0 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
27X35X6X8
18394X7X2
9XXXX8X3X
5371XXX46
4XX5X7213
61283497X
841X9XX27
X297851X4
765X12XXX
Please fill in all the Xs.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please provide your answer at the en... | <think>
We are given a Sudoku grid with some cells marked as 'X'. We need to fill in the Xs so that each row, each column, and each 3x3 box contains the digits 1 through 9 exactly once.
The grid is provided as:
Row0: 27X35X6X8
Row1: 18394X7X2
Row2: 9XXXX8X3X
Row3: 5371XXX46
Row4: 4XX5X7213
Row5: 61283497X
Row6: 841X9... | {"trace_id": "f9741881-8c56-49de-8711-280b72bd753f", "original_sudoku": [[2, 7, "X", 3, 5, "X", 6, "X", 8], [1, 8, 3, 9, 4, "X", 7, "X", 2], [9, "X", "X", "X", "X", 8, "X", 3, "X"], [5, 3, 7, 1, "X", "X", "X", 4, 6], [4, "X", "X", 5, "X", 7, 2, 1, 3], [6, 1, 2, 8, 3, 4, 9, 7, "X"], [8, 4, 1, "X", 9, "X", "X", 2, 7], ["... | ((2, 7, 4, 3, 5, 1, 6, 9, 8), (1, 8, 3, 9, 4, 6, 7, 5, 2), (9, 5, 6, 2, 7, 8, 4, 3, 1), (5, 3, 7, 1, 2, 9, 8, 4, 6), (4, 9, 8, 5, 6, 7, 2, 1, 3), (6, 1, 2, 8, 3, 4, 9, 7, 5), (8, 4, 1, 6, 9, 3, 5, 2, 7), (3, 2, 9, 7, 8, 5, 1, 6, 4), (7, 6, 5, 4, 1, 2, 3, 8, 9)) |
9,977 | 1 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
27X35X6X8
18394X7X2
9XXXX8X3X
5371XXX46
4XX5X7213
61283497X
841X9XX27
X297851X4
765X12XXX
Please fill in all the Xs.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please provide your answer at the en... | <think>
We are given a Sudoku grid with some cells represented by 'X'. We need to fill in all the Xs such that each row, column, and 3x3 box contains the digits 1-9 exactly once.
The grid is provided as a string of 9 lines, each line is a string of 9 characters (digits or 'X').
Let me write down the grid for clarity:... | {"trace_id": "f9741881-8c56-49de-8711-280b72bd753f", "original_sudoku": [[2, 7, "X", 3, 5, "X", 6, "X", 8], [1, 8, 3, 9, 4, "X", 7, "X", 2], [9, "X", "X", "X", "X", 8, "X", 3, "X"], [5, 3, 7, 1, "X", "X", "X", 4, 6], [4, "X", "X", 5, "X", 7, 2, 1, 3], [6, 1, 2, 8, 3, 4, 9, 7, "X"], [8, 4, 1, "X", 9, "X", "X", 2, 7], ["... | ((2, 7, 4, 3, 5, 1, 6, 9, 8), (1, 8, 3, 9, 4, 6, 7, 5, 2), (9, 5, 6, 2, 7, 8, 4, 3, 1), (5, 3, 7, 1, 2, 9, 8, 4, 6), (4, 9, 8, 5, 6, 7, 2, 1, 3), (6, 1, 2, 8, 3, 4, 9, 7, 5), (8, 4, 1, 6, 9, 3, 5, 2, 7), (3, 2, 9, 7, 8, 5, 1, 6, 4), (7, 6, 5, 4, 1, 2, 3, 8, 9)) |
9,978 | 0 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
XX23X6148
1X357X9XX
9X6182X73
XX92X37X4
735XX9621
XX4XXX839
XXXXXX4XX
X61XXXXXX
498XX721X
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a string representation of a Sudoku grid. The grid is 9x9 and has some cells already filled (with digits) and some as 'X' (meaning unknown).
The grid string is:
"XX23X6148"
"1X357X9XX"
"9X6182X73"
"XX92X37X4"
"735XX9621"
"XX4XXX839"
"XXXXXX4XX"
"X61XXXXXX"
"498XX721X"
We need to solve the Sudoku ... | {"trace_id": "7e9610b0-f3b9-43bc-99f0-ba37723412a6", "original_sudoku": [["X", "X", 2, 3, "X", 6, 1, 4, 8], [1, "X", 3, 5, 7, "X", 9, "X", "X"], [9, "X", 6, 1, 8, 2, "X", 7, 3], ["X", "X", 9, 2, "X", 3, 7, "X", 4], [7, 3, 5, "X", "X", 9, 6, 2, 1], ["X", "X", 4, "X", "X", "X", 8, 3, 9], ["X", "X", "X", "X", "X", "X", 4,... | ((5, 7, 2, 3, 9, 6, 1, 4, 8), (1, 8, 3, 5, 7, 4, 9, 6, 2), (9, 4, 6, 1, 8, 2, 5, 7, 3), (8, 1, 9, 2, 6, 3, 7, 5, 4), (7, 3, 5, 8, 4, 9, 6, 2, 1), (6, 2, 4, 7, 1, 5, 8, 3, 9), (3, 5, 7, 9, 2, 1, 4, 8, 6), (2, 6, 1, 4, 5, 8, 3, 9, 7), (4, 9, 8, 6, 3, 7, 2, 1, 5)) |
9,978 | 1 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
XX23X6148
1X357X9XX
9X6182X73
XX92X37X4
735XX9621
XX4XXX839
XXXXXX4XX
X61XXXXXX
498XX721X
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a 9x9 Sudoku grid as a string of lines. Each line is a string of 9 characters (some are digits, some are 'X').
The grid is:
Line 0: "XX23X6148"
Line 1: "1X357X9XX"
Line 2: "9X6182X73"
Line 3: "XX92X37X4"
Line 4: "735XX9621"
Line 5: "XX4XXX839"
Line 6: "XXXXXX4XX"
Line 7: "X61XXXXXX"
Line 8: "498X... | {"trace_id": "7e9610b0-f3b9-43bc-99f0-ba37723412a6", "original_sudoku": [["X", "X", 2, 3, "X", 6, 1, 4, 8], [1, "X", 3, 5, 7, "X", 9, "X", "X"], [9, "X", 6, 1, 8, 2, "X", 7, 3], ["X", "X", 9, 2, "X", 3, 7, "X", 4], [7, 3, 5, "X", "X", 9, 6, 2, 1], ["X", "X", 4, "X", "X", "X", 8, 3, 9], ["X", "X", "X", "X", "X", "X", 4,... | ((5, 7, 2, 3, 9, 6, 1, 4, 8), (1, 8, 3, 5, 7, 4, 9, 6, 2), (9, 4, 6, 1, 8, 2, 5, 7, 3), (8, 1, 9, 2, 6, 3, 7, 5, 4), (7, 3, 5, 8, 4, 9, 6, 2, 1), (6, 2, 4, 7, 1, 5, 8, 3, 9), (3, 5, 7, 9, 2, 1, 4, 8, 6), (2, 6, 1, 4, 5, 8, 3, 9, 7), (4, 9, 8, 6, 3, 7, 2, 1, 5)) |
9,979 | 0 | sudoku | Here is a 9x9 Sudoku board, where X represents unfilled positions:
194XX2X86
X673X829X
X8XX91574
918537462
72XX8X1X9
34XX197X8
852XX4XX3
XXXX65X27
67X8239X5
Please fill in all X positions to make a valid Sudoku.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
... | <think>
We are given a 9x9 Sudoku board with some numbers and some 'X' (unfilled) positions.
The board is provided as a string of 9 lines, each line is a string of 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll create a function to check the validity of a n... | {"trace_id": "acb21a3e-3a48-4072-94c9-76f3ffa05ca0", "original_sudoku": [[1, 9, 4, "X", "X", 2, "X", 8, 6], ["X", 6, 7, 3, "X", 8, 2, 9, "X"], ["X", 8, "X", "X", 9, 1, 5, 7, 4], [9, 1, 8, 5, 3, 7, 4, 6, 2], [7, 2, "X", "X", 8, "X", 1, "X", 9], [3, 4, "X", "X", 1, 9, 7, "X", 8], [8, 5, 2, "X", "X", 4, "X", "X", 3], ["X"... | ((1, 9, 4, 7, 5, 2, 3, 8, 6), (5, 6, 7, 3, 4, 8, 2, 9, 1), (2, 8, 3, 6, 9, 1, 5, 7, 4), (9, 1, 8, 5, 3, 7, 4, 6, 2), (7, 2, 5, 4, 8, 6, 1, 3, 9), (3, 4, 6, 2, 1, 9, 7, 5, 8), (8, 5, 2, 9, 7, 4, 6, 1, 3), (4, 3, 9, 1, 6, 5, 8, 2, 7), (6, 7, 1, 8, 2, 3, 9, 4, 5)) |
9,979 | 1 | sudoku | Here is a 9x9 Sudoku board, where X represents unfilled positions:
194XX2X86
X673X829X
X8XX91574
918537462
72XX8X1X9
34XX197X8
852XX4XX3
XXXX65X27
67X8239X5
Please fill in all X positions to make a valid Sudoku.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
... | <think>
We are given a 9x9 Sudoku board with some numbers and some 'X' for empty cells.
The board is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the board into a 2D list of integers and 'X'. We'll convert the digits to integers and leave 'X' as a string for now.
2. ... | {"trace_id": "acb21a3e-3a48-4072-94c9-76f3ffa05ca0", "original_sudoku": [[1, 9, 4, "X", "X", 2, "X", 8, 6], ["X", 6, 7, 3, "X", 8, 2, 9, "X"], ["X", 8, "X", "X", 9, 1, 5, 7, 4], [9, 1, 8, 5, 3, 7, 4, 6, 2], [7, 2, "X", "X", 8, "X", 1, "X", 9], [3, 4, "X", "X", 1, 9, 7, "X", 8], [8, 5, 2, "X", "X", 4, "X", "X", 3], ["X"... | ((1, 9, 4, 7, 5, 2, 3, 8, 6), (5, 6, 7, 3, 4, 8, 2, 9, 1), (2, 8, 3, 6, 9, 1, 5, 7, 4), (9, 1, 8, 5, 3, 7, 4, 6, 2), (7, 2, 5, 4, 8, 6, 1, 3, 9), (3, 4, 6, 2, 1, 9, 7, 5, 8), (8, 5, 2, 9, 7, 4, 6, 1, 3), (4, 3, 9, 1, 6, 5, 8, 2, 7), (6, 7, 1, 8, 2, 3, 9, 4, 5)) |
9,980 | 0 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
1X82X76XX
X629XX83X
X738XXX41
4X5XX91X8
8X6X52793
X9XX81X25
6XX7XX9XX
23XXXX5XX
7X9X263XX
Please complete it according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please pr... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for blank).
We need to solve it and output the solution as a tuple of 9 tuples, each tuple being a row of 9 numbers (integers from 1 to 9).
Steps:
1. Parse the input string into a 9x9 grid.
2. Use... | {"trace_id": "cd421967-58fa-4718-863e-1355a85a2b3d", "original_sudoku": [[1, "X", 8, 2, "X", 7, 6, "X", "X"], ["X", 6, 2, 9, "X", "X", 8, 3, "X"], ["X", 7, 3, 8, "X", "X", "X", 4, 1], [4, "X", 5, "X", "X", 9, 1, "X", 8], [8, "X", 6, "X", 5, 2, 7, 9, 3], ["X", 9, "X", "X", 8, 1, "X", 2, 5], [6, "X", "X", 7, "X", "X", 9,... | ((1, 4, 8, 2, 3, 7, 6, 5, 9), (5, 6, 2, 9, 1, 4, 8, 3, 7), (9, 7, 3, 8, 6, 5, 2, 4, 1), (4, 2, 5, 3, 7, 9, 1, 6, 8), (8, 1, 6, 4, 5, 2, 7, 9, 3), (3, 9, 7, 6, 8, 1, 4, 2, 5), (6, 5, 1, 7, 4, 3, 9, 8, 2), (2, 3, 4, 1, 9, 8, 5, 7, 6), (7, 8, 9, 5, 2, 6, 3, 1, 4)) |
9,980 | 1 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
1X82X76XX
X629XX83X
X738XXX41
4X5XX91X8
8X6X52793
X9XX81X25
6XX7XX9XX
23XXXX5XX
7X9X263XX
Please complete it according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please pr... | <think>
We are given a Sudoku puzzle with some numbers and blanks (represented by 'X'). We need to solve it according to the rules.
The puzzle is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Let me write down the puzzle for clarity:
Line 0: "1X82X76XX"
Line 1: "X629XX83X"
Line 2: "X73... | {"trace_id": "cd421967-58fa-4718-863e-1355a85a2b3d", "original_sudoku": [[1, "X", 8, 2, "X", 7, 6, "X", "X"], ["X", 6, 2, 9, "X", "X", 8, 3, "X"], ["X", 7, 3, 8, "X", "X", "X", 4, 1], [4, "X", 5, "X", "X", 9, 1, "X", 8], [8, "X", 6, "X", 5, 2, 7, 9, 3], ["X", 9, "X", "X", 8, 1, "X", 2, 5], [6, "X", "X", 7, "X", "X", 9,... | ((1, 4, 8, 2, 3, 7, 6, 5, 9), (5, 6, 2, 9, 1, 4, 8, 3, 7), (9, 7, 3, 8, 6, 5, 2, 4, 1), (4, 2, 5, 3, 7, 9, 1, 6, 8), (8, 1, 6, 4, 5, 2, 7, 9, 3), (3, 9, 7, 6, 8, 1, 4, 2, 5), (6, 5, 1, 7, 4, 3, 9, 8, 2), (2, 3, 4, 1, 9, 8, 5, 7, 6), (7, 8, 9, 5, 2, 6, 3, 1, 4)) |
9,981 | 0 | sudoku | Here is a 9x9 Sudoku puzzle, where X represents a hidden number that needs to be filled in:
23XXX1XXX
XX8XX37X1
7X1X8X3XX
5638X9X7X
X24137596
9174XXX38
39X5XX4XX
4X591X68X
XX6XXX9XX
Please solve it.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provid... | <think>
We are given a 9x9 Sudoku puzzle with some numbers and some 'X' (which represent missing numbers).
The puzzle is represented as 9 lines of strings.
Steps:
1. Parse the input to get a 9x9 grid.
2. We'll represent the grid as a list of lists of characters (or integers once we fill in).
3. We need to solve t... | {"trace_id": "3dba4061-e10d-43a9-af04-a0472d7be340", "original_sudoku": [[2, 3, "X", "X", "X", 1, "X", "X", "X"], ["X", "X", 8, "X", "X", 3, 7, "X", 1], [7, "X", 1, "X", 8, "X", 3, "X", "X"], [5, 6, 3, 8, "X", 9, "X", 7, "X"], ["X", 2, 4, 1, 3, 7, 5, 9, 6], [9, 1, 7, 4, "X", "X", "X", 3, 8], [3, 9, "X", 5, "X", "X", 4,... | ((2, 3, 9, 7, 4, 1, 8, 6, 5), (6, 5, 8, 2, 9, 3, 7, 4, 1), (7, 4, 1, 6, 8, 5, 3, 2, 9), (5, 6, 3, 8, 2, 9, 1, 7, 4), (8, 2, 4, 1, 3, 7, 5, 9, 6), (9, 1, 7, 4, 5, 6, 2, 3, 8), (3, 9, 2, 5, 6, 8, 4, 1, 7), (4, 7, 5, 9, 1, 2, 6, 8, 3), (1, 8, 6, 3, 7, 4, 9, 5, 2)) |
9,981 | 1 | sudoku | Here is a 9x9 Sudoku puzzle, where X represents a hidden number that needs to be filled in:
23XXX1XXX
XX8XX37X1
7X1X8X3XX
5638X9X7X
X24137596
9174XXX38
39X5XX4XX
4X591X68X
XX6XXX9XX
Please solve it.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please provid... | <think>
We are given a 9x9 Sudoku grid with some numbers and some 'X's representing unknowns.
The grid is provided as a string of 9 lines, each line is a string of 9 characters (digits or 'X').
Steps:
1. Parse the grid into a 9x9 matrix of integers (converting the digits) and note the positions of 'X' as unknowns.
... | {"trace_id": "3dba4061-e10d-43a9-af04-a0472d7be340", "original_sudoku": [[2, 3, "X", "X", "X", 1, "X", "X", "X"], ["X", "X", 8, "X", "X", 3, 7, "X", 1], [7, "X", 1, "X", 8, "X", 3, "X", "X"], [5, 6, 3, 8, "X", 9, "X", 7, "X"], ["X", 2, 4, 1, 3, 7, 5, 9, 6], [9, 1, 7, 4, "X", "X", "X", 3, 8], [3, 9, "X", 5, "X", "X", 4,... | ((2, 3, 9, 7, 4, 1, 8, 6, 5), (6, 5, 8, 2, 9, 3, 7, 4, 1), (7, 4, 1, 6, 8, 5, 3, 2, 9), (5, 6, 3, 8, 2, 9, 1, 7, 4), (8, 2, 4, 1, 3, 7, 5, 9, 6), (9, 1, 7, 4, 5, 6, 2, 3, 8), (3, 9, 2, 5, 6, 8, 4, 1, 7), (4, 7, 5, 9, 1, 2, 6, 8, 3), (1, 8, 6, 3, 7, 4, 9, 5, 2)) |
9,982 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
2X3X7X4X6
X8X63XX2X
X46X5X7X3
5X916XX3X
6XXXXXXXX
43X5X78XX
XX7XXX3XX
8X4X15672
3657X214X
Please fill in all the empty spaces according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column,... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for empty).
We need to solve it and output the solution as a tuple of 9 tuples, each inner tuple having 9 integers (the solved row).
Steps:
1. Parse the input string into a 9x9 grid (list of lists)... | {"trace_id": "ef2a0a4d-5679-40bf-90cb-6cbeedc01a34", "original_sudoku": [[2, "X", 3, "X", 7, "X", 4, "X", 6], ["X", 8, "X", 6, 3, "X", "X", 2, "X"], ["X", 4, 6, "X", 5, "X", 7, "X", 3], [5, "X", 9, 1, 6, "X", "X", 3, "X"], [6, "X", "X", "X", "X", "X", "X", "X", "X"], [4, 3, "X", 5, "X", 7, 8, "X", "X"], ["X", "X", 7, "... | ((2, 5, 3, 8, 7, 9, 4, 1, 6), (7, 8, 1, 6, 3, 4, 9, 2, 5), (9, 4, 6, 2, 5, 1, 7, 8, 3), (5, 7, 9, 1, 6, 8, 2, 3, 4), (6, 1, 8, 4, 2, 3, 5, 9, 7), (4, 3, 2, 5, 9, 7, 8, 6, 1), (1, 2, 7, 9, 4, 6, 3, 5, 8), (8, 9, 4, 3, 1, 5, 6, 7, 2), (3, 6, 5, 7, 8, 2, 1, 4, 9)) |
9,982 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
2X3X7X4X6
X8X63XX2X
X46X5X7X3
5X916XX3X
6XXXXXXXX
43X5X78XX
XX7XXX3XX
8X4X15672
3657X214X
Please fill in all the empty spaces according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column,... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty).
The puzzle:
"2X3X7X4X6"
"X8X63XX2X"
"X46X5X7X3"
"5X916XX3X"
"6XXXXXXXX"
"43X5X78XX"
"XX7XXX3XX"
"8X4X15672"
"3657X214X"
We need to solve it and output a tuple of 9 tuples, each tuple being the solve... | {"trace_id": "ef2a0a4d-5679-40bf-90cb-6cbeedc01a34", "original_sudoku": [[2, "X", 3, "X", 7, "X", 4, "X", 6], ["X", 8, "X", 6, 3, "X", "X", 2, "X"], ["X", 4, 6, "X", 5, "X", 7, "X", 3], [5, "X", 9, 1, 6, "X", "X", 3, "X"], [6, "X", "X", "X", "X", "X", "X", "X", "X"], [4, 3, "X", 5, "X", 7, 8, "X", "X"], ["X", "X", 7, "... | ((2, 5, 3, 8, 7, 9, 4, 1, 6), (7, 8, 1, 6, 3, 4, 9, 2, 5), (9, 4, 6, 2, 5, 1, 7, 8, 3), (5, 7, 9, 1, 6, 8, 2, 3, 4), (6, 1, 8, 4, 2, 3, 5, 9, 7), (4, 3, 2, 5, 9, 7, 8, 6, 1), (1, 2, 7, 9, 4, 6, 3, 5, 8), (8, 9, 4, 3, 1, 5, 6, 7, 2), (3, 6, 5, 7, 8, 2, 1, 4, 9)) |
9,983 | 0 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
XX2576XX9
983X426X7
5X783XXX2
6X9758X41
8XX923X65
X2561X893
X51X6792X
XX82XXXXX
X9X38517X
Please solve this puzzle according to Sudoku rules.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without... | <think>
We are given a Sudoku grid with some numbers and X's (which we need to fill). The grid is provided as a string of 9 lines, each line having 9 characters (with 'X' for unknowns and digits for knowns).
The grid:
Line 0: "XX2576XX9"
Line 1: "983X426X7"
Line 2: "5X783XXX2"
Line 3: "6X9758X41"
Line 4: "8XX923X65"
... | {"trace_id": "5e1a9e2d-62d8-4064-b126-57f064bf8d8e", "original_sudoku": [["X", "X", 2, 5, 7, 6, "X", "X", 9], [9, 8, 3, "X", 4, 2, 6, "X", 7], [5, "X", 7, 8, 3, "X", "X", "X", 2], [6, "X", 9, 7, 5, 8, "X", 4, 1], [8, "X", "X", 9, 2, 3, "X", 6, 5], ["X", 2, 5, 6, 1, "X", 8, 9, 3], ["X", 5, 1, "X", 6, 7, 9, 2, "X"], ["X"... | ((1, 4, 2, 5, 7, 6, 3, 8, 9), (9, 8, 3, 1, 4, 2, 6, 5, 7), (5, 6, 7, 8, 3, 9, 4, 1, 2), (6, 3, 9, 7, 5, 8, 2, 4, 1), (8, 1, 4, 9, 2, 3, 7, 6, 5), (7, 2, 5, 6, 1, 4, 8, 9, 3), (3, 5, 1, 4, 6, 7, 9, 2, 8), (4, 7, 8, 2, 9, 1, 5, 3, 6), (2, 9, 6, 3, 8, 5, 1, 7, 4)) |
9,983 | 1 | sudoku | Take a look at this Sudoku game, where X marks the positions you need to fill:
XX2576XX9
983X426X7
5X783XXX2
6X9758X41
8XX923X65
X2561X893
X51X6792X
XX82XXXXX
X9X38517X
Please solve this puzzle according to Sudoku rules.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without... | <think>
We are given a Sudoku grid with some numbers and X's (which we need to fill).
The grid is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the grid into a 9x9 matrix.
2. We'll represent the grid as a list of lists, where each inner list is a row.
3. We need to f... | {"trace_id": "5e1a9e2d-62d8-4064-b126-57f064bf8d8e", "original_sudoku": [["X", "X", 2, 5, 7, 6, "X", "X", 9], [9, 8, 3, "X", 4, 2, 6, "X", 7], [5, "X", 7, 8, 3, "X", "X", "X", 2], [6, "X", 9, 7, 5, 8, "X", 4, 1], [8, "X", "X", 9, 2, 3, "X", 6, 5], ["X", 2, 5, 6, 1, "X", 8, 9, 3], ["X", 5, 1, "X", 6, 7, 9, 2, "X"], ["X"... | ((1, 4, 2, 5, 7, 6, 3, 8, 9), (9, 8, 3, 1, 4, 2, 6, 5, 7), (5, 6, 7, 8, 3, 9, 4, 1, 2), (6, 3, 9, 7, 5, 8, 2, 4, 1), (8, 1, 4, 9, 2, 3, 7, 6, 5), (7, 2, 5, 6, 1, 4, 8, 9, 3), (3, 5, 1, 4, 6, 7, 9, 2, 8), (4, 7, 8, 2, 9, 1, 5, 3, 6), (2, 9, 6, 3, 8, 5, 1, 7, 4)) |
9,984 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXXXX5XX6
3596182XX
XX8X42X95
64X1XX752
XX52XX48X
7XX4X31XX
8X6XX4X21
2XXXX75X4
XXX92X6XX
Please try to solve this puzzle.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for unknown).
The puzzle:
"XXXXX5XX6"
"3596182XX"
"XX8X42X95"
"64X1XX752"
"XX52XX48X"
"7XX4X31XX"
"8X6XX4X21"
"2XXXX75X4"
"XXX92X6XX"
We need to solve it and output a tuple of 9 tuples, each in... | {"trace_id": "c96f38e0-2b53-4fc9-b24b-b43a2c586508", "original_sudoku": [["X", "X", "X", "X", "X", 5, "X", "X", 6], [3, 5, 9, 6, 1, 8, 2, "X", "X"], ["X", "X", 8, "X", 4, 2, "X", 9, 5], [6, 4, "X", 1, "X", "X", 7, 5, 2], ["X", "X", 5, 2, "X", "X", 4, 8, "X"], [7, "X", "X", 4, "X", 3, 1, "X", "X"], [8, "X", 6, "X", "X",... | ((4, 2, 7, 3, 9, 5, 8, 1, 6), (3, 5, 9, 6, 1, 8, 2, 4, 7), (1, 6, 8, 7, 4, 2, 3, 9, 5), (6, 4, 3, 1, 8, 9, 7, 5, 2), (9, 1, 5, 2, 7, 6, 4, 8, 3), (7, 8, 2, 4, 5, 3, 1, 6, 9), (8, 7, 6, 5, 3, 4, 9, 2, 1), (2, 9, 1, 8, 6, 7, 5, 3, 4), (5, 3, 4, 9, 2, 1, 6, 7, 8)) |
9,984 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXXXX5XX6
3596182XX
XX8X42X95
64X1XX752
XX52XX48X
7XX4X31XX
8X6XX4X21
2XXXX75X4
XXX92X6XX
Please try to solve this puzzle.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for unknown).
The puzzle:
"XXXXX5XX6"
"3596182XX"
"XX8X42X95"
"64X1XX752"
"XX52XX48X"
"7XX4X31XX"
"8X6XX4X21"
"2XXXX75X4"
"XXX92X6XX"
We need to solve it and output the solution as a tuple of 9... | {"trace_id": "c96f38e0-2b53-4fc9-b24b-b43a2c586508", "original_sudoku": [["X", "X", "X", "X", "X", 5, "X", "X", 6], [3, 5, 9, 6, 1, 8, 2, "X", "X"], ["X", "X", 8, "X", 4, 2, "X", 9, 5], [6, 4, "X", 1, "X", "X", 7, 5, 2], ["X", "X", 5, 2, "X", "X", 4, 8, "X"], [7, "X", "X", 4, "X", 3, 1, "X", "X"], [8, "X", 6, "X", "X",... | ((4, 2, 7, 3, 9, 5, 8, 1, 6), (3, 5, 9, 6, 1, 8, 2, 4, 7), (1, 6, 8, 7, 4, 2, 3, 9, 5), (6, 4, 3, 1, 8, 9, 7, 5, 2), (9, 1, 5, 2, 7, 6, 4, 8, 3), (7, 8, 2, 4, 5, 3, 1, 6, 9), (8, 7, 6, 5, 3, 4, 9, 2, 1), (2, 9, 1, 8, 6, 7, 5, 3, 4), (5, 3, 4, 9, 2, 1, 6, 7, 8)) |
9,985 | 0 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
7XXXX193X
2X13X95X7
396XX7214
8XX194XX5
XX267X4XX
XXXX2XX6X
XX8XXX1X2
9XX78X653
XXX416X79
Please complete this Sudoku.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please provi... | <think>
We are given a 9x9 Sudoku grid as a string of 9 lines, each line is a string of 9 characters (with 'X' for unknowns).
The grid:
"7XXXX193X"
"2X13X95X7"
"396XX7214"
"8XX194XX5"
"XX267X4XX"
"XXXX2XX6X"
"XX8XXX1X2"
"9XX78X653"
"XXX416X79"
We need to solve the Sudoku and output the solution as a tuple o... | {"trace_id": "32915e04-c2fe-44d2-8e9b-0a3c9bbe9994", "original_sudoku": [[7, "X", "X", "X", "X", 1, 9, 3, "X"], [2, "X", 1, 3, "X", 9, 5, "X", 7], [3, 9, 6, "X", "X", 7, 2, 1, 4], [8, "X", "X", 1, 9, 4, "X", "X", 5], ["X", "X", 2, 6, 7, "X", 4, "X", "X"], ["X", "X", "X", "X", 2, "X", "X", 6, "X"], ["X", "X", 8, "X", "X... | ((7, 8, 5, 2, 4, 1, 9, 3, 6), (2, 4, 1, 3, 6, 9, 5, 8, 7), (3, 9, 6, 8, 5, 7, 2, 1, 4), (8, 6, 7, 1, 9, 4, 3, 2, 5), (1, 5, 2, 6, 7, 3, 4, 9, 8), (4, 3, 9, 5, 2, 8, 7, 6, 1), (6, 7, 8, 9, 3, 5, 1, 4, 2), (9, 1, 4, 7, 8, 2, 6, 5, 3), (5, 2, 3, 4, 1, 6, 8, 7, 9)) |
9,985 | 1 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
7XXXX193X
2X13X95X7
396XX7214
8XX194XX5
XX267X4XX
XXXX2XX6X
XX8XXX1X2
9XX78X653
XXX416X79
Please complete this Sudoku.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please provi... | <think>
We are given a 9x9 Sudoku grid as a string of 9 lines, each line is a string of 9 characters (with 'X' for unknowns).
The grid:
7XXXX193X
2X13X95X7
396XX7214
8XX194XX5
XX267X4XX
XXXX2XX6X
XX8XXX1X2
9XX78X653
XXX416X79
We need to fill in the 'X' with digits 1-9 so that each row, column, and 3x3 subgr... | {"trace_id": "32915e04-c2fe-44d2-8e9b-0a3c9bbe9994", "original_sudoku": [[7, "X", "X", "X", "X", 1, 9, 3, "X"], [2, "X", 1, 3, "X", 9, 5, "X", 7], [3, 9, 6, "X", "X", 7, 2, 1, 4], [8, "X", "X", 1, 9, 4, "X", "X", 5], ["X", "X", 2, 6, 7, "X", 4, "X", "X"], ["X", "X", "X", "X", 2, "X", "X", 6, "X"], ["X", "X", 8, "X", "X... | ((7, 8, 5, 2, 4, 1, 9, 3, 6), (2, 4, 1, 3, 6, 9, 5, 8, 7), (3, 9, 6, 8, 5, 7, 2, 1, 4), (8, 6, 7, 1, 9, 4, 3, 2, 5), (1, 5, 2, 6, 7, 3, 4, 9, 8), (4, 3, 9, 5, 2, 8, 7, 6, 1), (6, 7, 8, 9, 3, 5, 1, 4, 2), (9, 1, 4, 7, 8, 2, 6, 5, 3), (5, 2, 3, 4, 1, 6, 8, 7, 9)) |
9,986 | 0 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
613X59X2X
4XXXXXXX7
X7XXXXX15
X45872136
8365142XX
X2XXX35X8
X9438XXX2
382XX5791
X612X7483
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a 9x9 Sudoku grid as a string of 9 lines, each line is a string of 9 characters (some are digits, some are 'X')
The grid:
"613X59X2X"
"4XXXXXXX7"
"X7XXXXX15"
"X45872136"
"8365142XX"
"X2XXX35X8"
"X9438XXX2"
"382XX5791"
"X612X7483"
We need to fill in the 'X's with digits 1-9 so that each ... | {"trace_id": "1eaac819-4dc0-4a17-9640-048615815128", "original_sudoku": [[6, 1, 3, "X", 5, 9, "X", 2, "X"], [4, "X", "X", "X", "X", "X", "X", "X", 7], ["X", 7, "X", "X", "X", "X", "X", 1, 5], ["X", 4, 5, 8, 7, 2, 1, 3, 6], [8, 3, 6, 5, 1, 4, 2, "X", "X"], ["X", 2, "X", "X", "X", 3, 5, "X", 8], ["X", 9, 4, 3, 8, "X", "X... | ((6, 1, 3, 7, 5, 9, 8, 2, 4), (4, 5, 9, 1, 2, 8, 3, 6, 7), (2, 7, 8, 4, 3, 6, 9, 1, 5), (9, 4, 5, 8, 7, 2, 1, 3, 6), (8, 3, 6, 5, 1, 4, 2, 7, 9), (1, 2, 7, 9, 6, 3, 5, 4, 8), (7, 9, 4, 3, 8, 1, 6, 5, 2), (3, 8, 2, 6, 4, 5, 7, 9, 1), (5, 6, 1, 2, 9, 7, 4, 8, 3)) |
9,986 | 1 | sudoku | This is a standard 9x9 Sudoku, where X needs to be filled with digits 1-9:
613X59X2X
4XXXXXXX7
X7XXXXX15
X45872136
8365142XX
X2XXX35X8
X9438XXX2
382XX5791
X612X7483
Please complete this Sudoku.
The rules of Sudoku are simple: each row, column, and 3x3 box must contain the numbers 1-9 without repetition.
Please provid... | <think>
We are given a 9x9 Sudoku grid as a string of 9 lines, each line is a string of 9 characters (with 'X' for unknowns).
The grid:
613X59X2X
4XXXXXXX7
X7XXXXX15
X45872136
8365142XX
X2XXX35X8
X9438XXX2
382XX5791
X612X7483
We need to fill in the 'X's with digits from 1 to 9 such that each row, column, an... | {"trace_id": "1eaac819-4dc0-4a17-9640-048615815128", "original_sudoku": [[6, 1, 3, "X", 5, 9, "X", 2, "X"], [4, "X", "X", "X", "X", "X", "X", "X", 7], ["X", 7, "X", "X", "X", "X", "X", 1, 5], ["X", 4, 5, 8, 7, 2, 1, 3, 6], [8, 3, 6, 5, 1, 4, 2, "X", "X"], ["X", 2, "X", "X", "X", 3, 5, "X", 8], ["X", 9, 4, 3, 8, "X", "X... | ((6, 1, 3, 7, 5, 9, 8, 2, 4), (4, 5, 9, 1, 2, 8, 3, 6, 7), (2, 7, 8, 4, 3, 6, 9, 1, 5), (9, 4, 5, 8, 7, 2, 1, 3, 6), (8, 3, 6, 5, 1, 4, 2, 7, 9), (1, 2, 7, 9, 6, 3, 5, 4, 8), (7, 9, 4, 3, 8, 1, 6, 5, 2), (3, 8, 2, 6, 4, 5, 7, 9, 1), (5, 6, 1, 2, 9, 7, 4, 8, 3)) |
9,987 | 0 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
81XX35429
5X682X1XX
2X9X74685
178X4X35X
XX2XX8XXX
X9X25X71X
4653XX8XX
X2XX87X6X
XXXX6XXXX
Please complete it according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please pr... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for blank).
The puzzle:
"81XX35429"
"5X682X1XX"
"2X9X74685"
"178X4X35X"
"XX2XX8XXX"
"X9X25X71X"
"4653XX8XX"
"X2XX87X6X"
"XXXX6XXXX"
We need to solve it and output the solution as a tuple of 9 tuples, each tuple... | {"trace_id": "017d6d28-68d6-42ca-9f27-6d4068da9aef", "original_sudoku": [[8, 1, "X", "X", 3, 5, 4, 2, 9], [5, "X", 6, 8, 2, "X", 1, "X", "X"], [2, "X", 9, "X", 7, 4, 6, 8, 5], [1, 7, 8, "X", 4, "X", 3, 5, "X"], ["X", "X", 2, "X", "X", 8, "X", "X", "X"], ["X", 9, "X", 2, 5, "X", 7, 1, "X"], [4, 6, 5, 3, "X", "X", 8, "X"... | ((8, 1, 7, 6, 3, 5, 4, 2, 9), (5, 4, 6, 8, 2, 9, 1, 3, 7), (2, 3, 9, 1, 7, 4, 6, 8, 5), (1, 7, 8, 9, 4, 6, 3, 5, 2), (3, 5, 2, 7, 1, 8, 9, 4, 6), (6, 9, 4, 2, 5, 3, 7, 1, 8), (4, 6, 5, 3, 9, 2, 8, 7, 1), (9, 2, 1, 4, 8, 7, 5, 6, 3), (7, 8, 3, 5, 6, 1, 2, 9, 4)) |
9,987 | 1 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
81XX35429
5X682X1XX
2X9X74685
178X4X35X
XX2XX8XXX
X9X25X71X
4653XX8XX
X2XX87X6X
XXXX6XXXX
Please complete it according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please pr... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for blanks).
The puzzle:
81XX35429
5X682X1XX
2X9X74685
178X4X35X
XX2XX8XXX
X9X25X71X
4653XX8XX
X2XX87X6X
XXXX6XXXX
We need to solve it and output a tuple of 9 tuples, each inner tuple having 9 integers (the sol... | {"trace_id": "017d6d28-68d6-42ca-9f27-6d4068da9aef", "original_sudoku": [[8, 1, "X", "X", 3, 5, 4, 2, 9], [5, "X", 6, 8, 2, "X", 1, "X", "X"], [2, "X", 9, "X", 7, 4, 6, 8, 5], [1, 7, 8, "X", 4, "X", 3, 5, "X"], ["X", "X", 2, "X", "X", 8, "X", "X", "X"], ["X", 9, "X", 2, 5, "X", 7, 1, "X"], [4, 6, 5, 3, "X", "X", 8, "X"... | ((8, 1, 7, 6, 3, 5, 4, 2, 9), (5, 4, 6, 8, 2, 9, 1, 3, 7), (2, 3, 9, 1, 7, 4, 6, 8, 5), (1, 7, 8, 9, 4, 6, 3, 5, 2), (3, 5, 2, 7, 1, 8, 9, 4, 6), (6, 9, 4, 2, 5, 3, 7, 1, 8), (4, 6, 5, 3, 9, 2, 8, 7, 1), (9, 2, 1, 4, 8, 7, 5, 6, 3), (7, 8, 3, 5, 6, 1, 2, 9, 4)) |
9,988 | 0 | sudoku | Here is a 9x9 Sudoku board, where X represents unfilled positions:
XXXX25639
X52X967X8
79X8X3521
XXX479213
X4X6X2XXX
23X5X1X96
97X2583X4
X2X31X987
X839X71X2
Please fill in all X positions to make a valid Sudoku.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-g... | <think>
We are given a 9x9 Sudoku board with some numbers and some 'X' (unfilled) positions.
The board is provided as a string of 9 lines, each line has 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll use a backtracking algorithm to solve the Sudoku. However... | {"trace_id": "f3f9960b-4d5c-4602-b31a-5d98a0ec4fc4", "original_sudoku": [["X", "X", "X", "X", 2, 5, 6, 3, 9], ["X", 5, 2, "X", 9, 6, 7, "X", 8], [7, 9, "X", 8, "X", 3, 5, 2, 1], ["X", "X", "X", 4, 7, 9, 2, 1, 3], ["X", 4, "X", 6, "X", 2, "X", "X", "X"], [2, 3, "X", 5, "X", 1, "X", 9, 6], [9, 7, "X", 2, 5, 8, 3, "X", 4]... | ((8, 1, 4, 7, 2, 5, 6, 3, 9), (3, 5, 2, 1, 9, 6, 7, 4, 8), (7, 9, 6, 8, 4, 3, 5, 2, 1), (5, 6, 8, 4, 7, 9, 2, 1, 3), (1, 4, 9, 6, 3, 2, 8, 7, 5), (2, 3, 7, 5, 8, 1, 4, 9, 6), (9, 7, 1, 2, 5, 8, 3, 6, 4), (6, 2, 5, 3, 1, 4, 9, 8, 7), (4, 8, 3, 9, 6, 7, 1, 5, 2)) |
9,988 | 1 | sudoku | Here is a 9x9 Sudoku board, where X represents unfilled positions:
XXXX25639
X52X967X8
79X8X3521
XXX479213
X4X6X2XXX
23X5X1X96
97X2583X4
X2X31X987
X839X71X2
Please fill in all X positions to make a valid Sudoku.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-g... | <think>
We are given a 9x9 Sudoku board with some numbers and some 'X' for empty cells.
The board is provided as a list of strings (each string is a row of 9 characters).
Steps:
1. Represent the board as a 2D list of integers or strings. We'll convert the given board into a 2D list where each element is either a di... | {"trace_id": "f3f9960b-4d5c-4602-b31a-5d98a0ec4fc4", "original_sudoku": [["X", "X", "X", "X", 2, 5, 6, 3, 9], ["X", 5, 2, "X", 9, 6, 7, "X", 8], [7, 9, "X", 8, "X", 3, 5, 2, 1], ["X", "X", "X", 4, 7, 9, 2, 1, 3], ["X", 4, "X", 6, "X", 2, "X", "X", "X"], [2, 3, "X", 5, "X", 1, "X", 9, 6], [9, 7, "X", 2, 5, 8, 3, "X", 4]... | ((8, 1, 4, 7, 2, 5, 6, 3, 9), (3, 5, 2, 1, 9, 6, 7, 4, 8), (7, 9, 6, 8, 4, 3, 5, 2, 1), (5, 6, 8, 4, 7, 9, 2, 1, 3), (1, 4, 9, 6, 3, 2, 8, 7, 5), (2, 3, 7, 5, 8, 1, 4, 9, 6), (9, 7, 1, 2, 5, 8, 3, 6, 4), (6, 2, 5, 3, 1, 4, 9, 8, 7), (4, 8, 3, 9, 6, 7, 1, 5, 2)) |
9,989 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X4X3XXX5X
5XX8X2X41
91XXX43X2
X2X13XX8X
3695X82XX
85X9274X6
18X4XX6X3
2376X5XX4
X962X387X
Please fill in all the empty spaces according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column,... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty).
The puzzle:
X4X3XXX5X
5XX8X2X41
91XXX43X2
X2X13XX8X
3695X82XX
85X9274X6
18X4XX6X3
2376X5XX4
X962X387X
We need to solve it and output as a tuple of 9 tuples, each tuple being a row of 9 numbers (1-9)... | {"trace_id": "5770b7e6-ef69-4169-8f79-389f14a219bd", "original_sudoku": [["X", 4, "X", 3, "X", "X", "X", 5, "X"], [5, "X", "X", 8, "X", 2, "X", 4, 1], [9, 1, "X", "X", "X", 4, 3, "X", 2], ["X", 2, "X", 1, 3, "X", "X", 8, "X"], [3, 6, 9, 5, "X", 8, 2, "X", "X"], [8, 5, "X", 9, 2, 7, 4, "X", 6], [1, 8, "X", 4, "X", "X", ... | ((6, 4, 2, 3, 9, 1, 7, 5, 8), (5, 7, 3, 8, 6, 2, 9, 4, 1), (9, 1, 8, 7, 5, 4, 3, 6, 2), (7, 2, 4, 1, 3, 6, 5, 8, 9), (3, 6, 9, 5, 4, 8, 2, 1, 7), (8, 5, 1, 9, 2, 7, 4, 3, 6), (1, 8, 5, 4, 7, 9, 6, 2, 3), (2, 3, 7, 6, 8, 5, 1, 9, 4), (4, 9, 6, 2, 1, 3, 8, 7, 5)) |
9,989 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
X4X3XXX5X
5XX8X2X41
91XXX43X2
X2X13XX8X
3695X82XX
85X9274X6
18X4XX6X3
2376X5XX4
X962X387X
Please fill in all the empty spaces according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column,... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty)
The puzzle:
X4X3XXX5X
5XX8X2X41
91XXX43X2
X2X13XX8X
3695X82XX
85X9274X6
18X4XX6X3
2376X5XX4
X962X387X
We'll represent the grid as a 9x9 list of lists.
Steps:
1. Parse the input string into a grid ... | {"trace_id": "5770b7e6-ef69-4169-8f79-389f14a219bd", "original_sudoku": [["X", 4, "X", 3, "X", "X", "X", 5, "X"], [5, "X", "X", 8, "X", 2, "X", 4, 1], [9, 1, "X", "X", "X", 4, 3, "X", 2], ["X", 2, "X", 1, 3, "X", "X", 8, "X"], [3, 6, 9, 5, "X", 8, 2, "X", "X"], [8, 5, "X", 9, 2, 7, 4, "X", 6], [1, 8, "X", 4, "X", "X", ... | ((6, 4, 2, 3, 9, 1, 7, 5, 8), (5, 7, 3, 8, 6, 2, 9, 4, 1), (9, 1, 8, 7, 5, 4, 3, 6, 2), (7, 2, 4, 1, 3, 6, 5, 8, 9), (3, 6, 9, 5, 4, 8, 2, 1, 7), (8, 5, 1, 9, 2, 7, 4, 3, 6), (1, 8, 5, 4, 7, 9, 6, 2, 3), (2, 3, 7, 6, 8, 5, 1, 9, 4), (4, 9, 6, 2, 1, 3, 8, 7, 5)) |
9,990 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XX381X2XX
XX2743X95
4985XX7X3
XXXX58X27
XX1X325XX
526XXX4X8
28XX61954
61598437X
X4X2X5X81
Please try to solve this puzzle.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X')
The puzzle:
Line 0: "XX381X2XX"
Line 1: "XX2743X95"
Line 2: "4985XX7X3"
Line 3: "XXXX58X27"
Line 4: "XX1X325XX"
Line 5: "526XXX4X8"
Line 6: "28XX61954"
Line 7: "61598437X"
Line 8: "X4X2X5X81... | {"trace_id": "82ad0973-1940-4157-a3a1-253f5640d4dd", "original_sudoku": [["X", "X", 3, 8, 1, "X", 2, "X", "X"], ["X", "X", 2, 7, 4, 3, "X", 9, 5], [4, 9, 8, 5, "X", "X", 7, "X", 3], ["X", "X", "X", "X", 5, 8, "X", 2, 7], ["X", "X", 1, "X", 3, 2, 5, "X", "X"], [5, 2, 6, "X", "X", "X", 4, "X", 8], [2, 8, "X", "X", 6, 1, ... | ((7, 5, 3, 8, 1, 9, 2, 4, 6), (1, 6, 2, 7, 4, 3, 8, 9, 5), (4, 9, 8, 5, 2, 6, 7, 1, 3), (9, 3, 4, 6, 5, 8, 1, 2, 7), (8, 7, 1, 4, 3, 2, 5, 6, 9), (5, 2, 6, 1, 9, 7, 4, 3, 8), (2, 8, 7, 3, 6, 1, 9, 5, 4), (6, 1, 5, 9, 8, 4, 3, 7, 2), (3, 4, 9, 2, 7, 5, 6, 8, 1)) |
9,990 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XX381X2XX
XX2743X95
4985XX7X3
XXXX58X27
XX1X325XX
526XXX4X8
28XX61954
61598437X
X4X2X5X81
Please try to solve this puzzle.
The rules for solving Sudoku: in each row, column, and 3x3 box, the digits 1-9 must occur exactly once.
Please... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X')
The puzzle:
Line 1: "XX381X2XX"
Line 2: "XX2743X95"
Line 3: "4985XX7X3"
Line 4: "XXXX58X27"
Line 5: "XX1X325XX"
Line 6: "526XXX4X8"
Line 7: "28XX61954"
Line 8: "61598437X"
Line 9: "X4X2X5X81... | {"trace_id": "82ad0973-1940-4157-a3a1-253f5640d4dd", "original_sudoku": [["X", "X", 3, 8, 1, "X", 2, "X", "X"], ["X", "X", 2, 7, 4, 3, "X", 9, 5], [4, 9, 8, 5, "X", "X", 7, "X", 3], ["X", "X", "X", "X", 5, 8, "X", 2, 7], ["X", "X", 1, "X", 3, 2, 5, "X", "X"], [5, 2, 6, "X", "X", "X", 4, "X", 8], [2, 8, "X", "X", 6, 1, ... | ((7, 5, 3, 8, 1, 9, 2, 4, 6), (1, 6, 2, 7, 4, 3, 8, 9, 5), (4, 9, 8, 5, 2, 6, 7, 1, 3), (9, 3, 4, 6, 5, 8, 1, 2, 7), (8, 7, 1, 4, 3, 2, 5, 6, 9), (5, 2, 6, 1, 9, 7, 4, 3, 8), (2, 8, 7, 3, 6, 1, 9, 5, 4), (6, 1, 5, 9, 8, 4, 3, 7, 2), (3, 4, 9, 2, 7, 5, 6, 8, 1)) |
9,991 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
23X97XX16
XXXXX8X2X
841X3X5XX
183742XX9
57236X184
X64X8XX72
3X6XX57X1
X5X61X238
7X84239X5
Please fill in all the empty spaces according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repe... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line is a string of 9 characters (digits or 'X' for empty)
The puzzle:
"23X97XX16"
"XXXXX8X2X"
"841X3X5XX"
"183742XX9"
"57236X184"
"X64X8XX72"
"3X6XX57X1"
"X5X61X238"
"7X84239X5"
Steps:
1. We'll represent the grid as a 9x9 list of lists (or ... | {"trace_id": "846ab7bd-640e-4568-a92f-7f2447e5ac50", "original_sudoku": [[2, 3, "X", 9, 7, "X", "X", 1, 6], ["X", "X", "X", "X", "X", 8, "X", 2, "X"], [8, 4, 1, "X", 3, "X", 5, "X", "X"], [1, 8, 3, 7, 4, 2, "X", "X", 9], [5, 7, 2, 3, 6, "X", 1, 8, 4], ["X", 6, 4, "X", 8, "X", "X", 7, 2], [3, "X", 6, "X", "X", 5, 7, "X"... | ((2, 3, 5, 9, 7, 4, 8, 1, 6), (6, 9, 7, 1, 5, 8, 4, 2, 3), (8, 4, 1, 2, 3, 6, 5, 9, 7), (1, 8, 3, 7, 4, 2, 6, 5, 9), (5, 7, 2, 3, 6, 9, 1, 8, 4), (9, 6, 4, 5, 8, 1, 3, 7, 2), (3, 2, 6, 8, 9, 5, 7, 4, 1), (4, 5, 9, 6, 1, 7, 2, 3, 8), (7, 1, 8, 4, 2, 3, 9, 6, 5)) |
9,991 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
23X97XX16
XXXXX8X2X
841X3X5XX
183742XX9
57236X184
X64X8XX72
3X6XX57X1
X5X61X238
7X84239X5
Please fill in all the empty spaces according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repe... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (digits or 'X' for empty).
The puzzle:
"23X97XX16"
"XXXXX8X2X"
"841X3X5XX"
"183742XX9"
"57236X184"
"X64X8XX72"
"3X6XX57X1"
"X5X61X238"
"7X84239X5"
We need to solve it and output a tuple of 9 tuples, each tuple being a row of... | {"trace_id": "846ab7bd-640e-4568-a92f-7f2447e5ac50", "original_sudoku": [[2, 3, "X", 9, 7, "X", "X", 1, 6], ["X", "X", "X", "X", "X", 8, "X", 2, "X"], [8, 4, 1, "X", 3, "X", 5, "X", "X"], [1, 8, 3, 7, 4, 2, "X", "X", 9], [5, 7, 2, 3, 6, "X", 1, 8, 4], ["X", 6, 4, "X", 8, "X", "X", 7, 2], [3, "X", 6, "X", "X", 5, 7, "X"... | ((2, 3, 5, 9, 7, 4, 8, 1, 6), (6, 9, 7, 1, 5, 8, 4, 2, 3), (8, 4, 1, 2, 3, 6, 5, 9, 7), (1, 8, 3, 7, 4, 2, 6, 5, 9), (5, 7, 2, 3, 6, 9, 1, 8, 4), (9, 6, 4, 5, 8, 1, 3, 7, 2), (3, 2, 6, 8, 9, 5, 7, 4, 1), (4, 5, 9, 6, 1, 7, 2, 3, 8), (7, 1, 8, 4, 2, 3, 9, 6, 5)) |
9,992 | 0 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
6X8XXX4X1
X94713X62
X1X46X9X7
XXXX3XX7X
4X7XX5183
83X176249
X56X4172X
7X26XX31X
XXX5276X4
Please solve this Sudoku puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a 9x9 Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X' for empty).
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll solve the Sudoku using a backtracking algorithm (or other methods) but note: the puzzle might be designed t... | {"trace_id": "44a735bd-64b5-4db0-b89c-9e33bb78f589", "original_sudoku": [[6, "X", 8, "X", "X", "X", 4, "X", 1], ["X", 9, 4, 7, 1, 3, "X", 6, 2], ["X", 1, "X", 4, 6, "X", 9, "X", 7], ["X", "X", "X", "X", 3, "X", "X", 7, "X"], [4, "X", 7, "X", "X", 5, 1, 8, 3], [8, 3, "X", 1, 7, 6, 2, 4, 9], ["X", 5, 6, "X", 4, 1, 7, 2, ... | ((6, 7, 8, 9, 5, 2, 4, 3, 1), (5, 9, 4, 7, 1, 3, 8, 6, 2), (2, 1, 3, 4, 6, 8, 9, 5, 7), (1, 2, 9, 8, 3, 4, 5, 7, 6), (4, 6, 7, 2, 9, 5, 1, 8, 3), (8, 3, 5, 1, 7, 6, 2, 4, 9), (9, 5, 6, 3, 4, 1, 7, 2, 8), (7, 4, 2, 6, 8, 9, 3, 1, 5), (3, 8, 1, 5, 2, 7, 6, 9, 4)) |
9,992 | 1 | sudoku | Below is a 9x9 Sudoku puzzle, where X represents empty cells that need to be filled:
6X8XXX4X1
X94713X62
X1X46X9X7
XXXX3XX7X
4X7XX5183
83X176249
X56X4172X
7X26XX31X
XXX5276X4
Please solve this Sudoku puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a 9x9 Sudoku puzzle as a string of 9 lines, each line is a string of 9 characters (with 'X' for empty cells).
The puzzle:
Line 0: "6X8XXX4X1"
Line 1: "X94713X62"
Line 2: "X1X46X9X7"
Line 3: "XXXX3XX7X"
Line 4: "4X7XX5183"
Line 5: "83X176249"
Line 6: "X56X4172X"
Line 7: "7X26XX31X"
Line 8: "XXX5276... | {"trace_id": "44a735bd-64b5-4db0-b89c-9e33bb78f589", "original_sudoku": [[6, "X", 8, "X", "X", "X", 4, "X", 1], ["X", 9, 4, 7, 1, 3, "X", 6, 2], ["X", 1, "X", 4, 6, "X", 9, "X", 7], ["X", "X", "X", "X", 3, "X", "X", 7, "X"], [4, "X", 7, "X", "X", 5, 1, 8, 3], [8, 3, "X", 1, 7, 6, 2, 4, 9], ["X", 5, 6, "X", 4, 1, 7, 2, ... | ((6, 7, 8, 9, 5, 2, 4, 3, 1), (5, 9, 4, 7, 1, 3, 8, 6, 2), (2, 1, 3, 4, 6, 8, 9, 5, 7), (1, 2, 9, 8, 3, 4, 5, 7, 6), (4, 6, 7, 2, 9, 5, 1, 8, 3), (8, 3, 5, 1, 7, 6, 2, 4, 9), (9, 5, 6, 3, 4, 1, 7, 2, 8), (7, 4, 2, 6, 8, 9, 3, 1, 5), (3, 8, 1, 5, 2, 7, 6, 9, 4)) |
9,993 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXX2XX9X5
X975386X4
5X8469723
7X4983561
8XX72XX39
1XX6XXX7X
48X1X63XX
9XXX7X84X
X76X9X152
Please try to solve this puzzle.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X')
The puzzle:
Line 0: XXX2XX9X5
Line 1: X975386X4
Line 2: 5X8469723
Line 3: 7X4983561
Line 4: 8XX72XX39
Line 5: 1XX6XXX7X
Line 6: 48X1X63XX
Line 7: 9XXX7X84X
Line 8: X76X9X152
We need to solve i... | {"trace_id": "cce22f6f-21d1-43d4-826c-38040f41d398", "original_sudoku": [["X", "X", "X", 2, "X", "X", 9, "X", 5], ["X", 9, 7, 5, 3, 8, 6, "X", 4], [5, "X", 8, 4, 6, 9, 7, 2, 3], [7, "X", 4, 9, 8, 3, 5, 6, 1], [8, "X", "X", 7, 2, "X", "X", 3, 9], [1, "X", "X", 6, "X", "X", "X", 7, "X"], [4, 8, "X", 1, "X", 6, 3, "X", "X... | ((6, 4, 3, 2, 1, 7, 9, 8, 5), (2, 9, 7, 5, 3, 8, 6, 1, 4), (5, 1, 8, 4, 6, 9, 7, 2, 3), (7, 2, 4, 9, 8, 3, 5, 6, 1), (8, 6, 5, 7, 2, 1, 4, 3, 9), (1, 3, 9, 6, 4, 5, 2, 7, 8), (4, 8, 2, 1, 5, 6, 3, 9, 7), (9, 5, 1, 3, 7, 2, 8, 4, 6), (3, 7, 6, 8, 9, 4, 1, 5, 2)) |
9,993 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XXX2XX9X5
X975386X4
5X8469723
7X4983561
8XX72XX39
1XX6XXX7X
48X1X63XX
9XXX7X84X
X76X9X152
Please try to solve this puzzle.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for unknown).
The puzzle is:
Line 1: XXX2XX9X5
Line 2: X975386X4
Line 3: 5X8469723
Line 4: 7X4983561
Line 5: 8XX72XX39
Line 6: 1XX6XXX7X
Line 7: 48X1X63XX
Line 8: 9XXX7X84X
Line 9: X76X9X152
We... | {"trace_id": "cce22f6f-21d1-43d4-826c-38040f41d398", "original_sudoku": [["X", "X", "X", 2, "X", "X", 9, "X", 5], ["X", 9, 7, 5, 3, 8, 6, "X", 4], [5, "X", 8, 4, 6, 9, 7, 2, 3], [7, "X", 4, 9, 8, 3, 5, 6, 1], [8, "X", "X", 7, 2, "X", "X", 3, 9], [1, "X", "X", 6, "X", "X", "X", 7, "X"], [4, 8, "X", 1, "X", 6, 3, "X", "X... | ((6, 4, 3, 2, 1, 7, 9, 8, 5), (2, 9, 7, 5, 3, 8, 6, 1, 4), (5, 1, 8, 4, 6, 9, 7, 2, 3), (7, 2, 4, 9, 8, 3, 5, 6, 1), (8, 6, 5, 7, 2, 1, 4, 3, 9), (1, 3, 9, 6, 4, 5, 2, 7, 8), (4, 8, 2, 1, 5, 6, 3, 9, 7), (9, 5, 1, 3, 7, 2, 8, 4, 6), (3, 7, 6, 8, 9, 4, 1, 5, 2)) |
9,994 | 0 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
7945X31X8
X32X916XX
56X8X4397
XX627583X
2X39XX7X6
48X136XX2
X79X52X8X
XXXXX9573
XX538X269
Please fill in all the Xs.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please provide your answer a... | <think>
We are given a Sudoku grid with some cells filled and others marked as 'X'. We need to solve it.
The grid is provided as 9 lines of 9 characters each (with 'X' for unknowns). The grid:
Line 0: "7945X31X8"
Line 1: "X32X916XX"
Line 2: "56X8X4397"
Line 3: "XX627583X"
Line 4: "2X39XX7X6"
Line 5: "48X136XX2"
Line ... | {"trace_id": "269e67d7-4e9e-4986-9dc0-f3e72371ba4d", "original_sudoku": [[7, 9, 4, 5, "X", 3, 1, "X", 8], ["X", 3, 2, "X", 9, 1, 6, "X", "X"], [5, 6, "X", 8, "X", 4, 3, 9, 7], ["X", "X", 6, 2, 7, 5, 8, 3, "X"], [2, "X", 3, 9, "X", "X", 7, "X", 6], [4, 8, "X", 1, 3, 6, "X", "X", 2], ["X", 7, 9, "X", 5, 2, "X", 8, "X"], ... | ((7, 9, 4, 5, 6, 3, 1, 2, 8), (8, 3, 2, 7, 9, 1, 6, 4, 5), (5, 6, 1, 8, 2, 4, 3, 9, 7), (9, 1, 6, 2, 7, 5, 8, 3, 4), (2, 5, 3, 9, 4, 8, 7, 1, 6), (4, 8, 7, 1, 3, 6, 9, 5, 2), (3, 7, 9, 6, 5, 2, 4, 8, 1), (6, 2, 8, 4, 1, 9, 5, 7, 3), (1, 4, 5, 3, 8, 7, 2, 6, 9)) |
9,994 | 1 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
7945X31X8
X32X916XX
56X8X4397
XX627583X
2X39XX7X6
48X136XX2
X79X52X8X
XXXXX9573
XX538X269
Please fill in all the Xs.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please provide your answer a... | <think>
We are given a Sudoku grid with some numbers and some unknowns (represented by 'X'). We need to fill in the unknowns so that each row, each column, and each 3x3 subgrid contains the digits 1 through 9 exactly once.
The grid is provided as 9 lines of 9 characters each. The first line is: "7945X31X8"
Let me wri... | {"trace_id": "269e67d7-4e9e-4986-9dc0-f3e72371ba4d", "original_sudoku": [[7, 9, 4, 5, "X", 3, 1, "X", 8], ["X", 3, 2, "X", 9, 1, 6, "X", "X"], [5, 6, "X", 8, "X", 4, 3, 9, 7], ["X", "X", 6, 2, 7, 5, 8, 3, "X"], [2, "X", 3, 9, "X", "X", 7, "X", 6], [4, 8, "X", 1, 3, 6, "X", "X", 2], ["X", 7, 9, "X", 5, 2, "X", 8, "X"], ... | ((7, 9, 4, 5, 6, 3, 1, 2, 8), (8, 3, 2, 7, 9, 1, 6, 4, 5), (5, 6, 1, 8, 2, 4, 3, 9, 7), (9, 1, 6, 2, 7, 5, 8, 3, 4), (2, 5, 3, 9, 4, 8, 7, 1, 6), (4, 8, 7, 1, 3, 6, 9, 5, 2), (3, 7, 9, 6, 5, 2, 4, 8, 1), (6, 2, 8, 4, 1, 9, 5, 7, 3), (1, 4, 5, 3, 8, 7, 2, 6, 9)) |
9,995 | 0 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XX2X57XX4
X9X31X5X8
X58X24137
X74X32986
X6X148273
X8X679X15
94X7X3XXX
72XX81XXX
X36X9X74X
Please try to solve this puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X')
The puzzle:
Line 1: XX2X57XX4
Line 2: X9X31X5X8
Line 3: X58X24137
Line 4: X74X32986
Line 5: X6X148273
Line 6: X8X679X15
Line 7: 94X7X3XXX
Line 8: 72XX81XXX
Line 9: X36X9X74X
We need to fill in... | {"trace_id": "4ac7e96a-5017-4ad0-a05d-cb30785b019b", "original_sudoku": [["X", "X", 2, "X", 5, 7, "X", "X", 4], ["X", 9, "X", 3, 1, "X", 5, "X", 8], ["X", 5, 8, "X", 2, 4, 1, 3, 7], ["X", 7, 4, "X", 3, 2, 9, 8, 6], ["X", 6, "X", 1, 4, 8, 2, 7, 3], ["X", 8, "X", 6, 7, 9, "X", 1, 5], [9, 4, "X", 7, "X", 3, "X", "X", "X"]... | ((3, 1, 2, 8, 5, 7, 6, 9, 4), (4, 9, 7, 3, 1, 6, 5, 2, 8), (6, 5, 8, 9, 2, 4, 1, 3, 7), (1, 7, 4, 5, 3, 2, 9, 8, 6), (5, 6, 9, 1, 4, 8, 2, 7, 3), (2, 8, 3, 6, 7, 9, 4, 1, 5), (9, 4, 1, 7, 6, 3, 8, 5, 2), (7, 2, 5, 4, 8, 1, 3, 6, 9), (8, 3, 6, 2, 9, 5, 7, 4, 1)) |
9,995 | 1 | sudoku | Please solve this Sudoku puzzle, where X represents the numbers you need to fill in:
XX2X57XX4
X9X31X5X8
X58X24137
X74X32986
X6X148273
X8X679X15
94X7X3XXX
72XX81XXX
X36X9X74X
Please try to solve this puzzle.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column, and 3x3 box).... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (some are digits, some are 'X')
The puzzle:
"XX2X57XX4"
"X9X31X5X8"
"X58X24137"
"X74X32986"
"X6X148273"
"X8X679X15"
"94X7X3XXX"
"72XX81XXX"
"X36X9X74X"
We need to solve it and output as a tuple of 9 tuples, each tuple be... | {"trace_id": "4ac7e96a-5017-4ad0-a05d-cb30785b019b", "original_sudoku": [["X", "X", 2, "X", 5, 7, "X", "X", 4], ["X", 9, "X", 3, 1, "X", 5, "X", 8], ["X", 5, 8, "X", 2, 4, 1, 3, 7], ["X", 7, 4, "X", 3, 2, 9, 8, 6], ["X", 6, "X", 1, 4, 8, 2, 7, 3], ["X", 8, "X", 6, 7, 9, "X", 1, 5], [9, 4, "X", 7, "X", 3, "X", "X", "X"]... | ((3, 1, 2, 8, 5, 7, 6, 9, 4), (4, 9, 7, 3, 1, 6, 5, 2, 8), (6, 5, 8, 9, 2, 4, 1, 3, 7), (1, 7, 4, 5, 3, 2, 9, 8, 6), (5, 6, 9, 1, 4, 8, 2, 7, 3), (2, 8, 3, 6, 7, 9, 4, 1, 5), (9, 4, 1, 7, 6, 3, 8, 5, 2), (7, 2, 5, 4, 8, 1, 3, 6, 9), (8, 3, 6, 2, 9, 5, 7, 4, 1)) |
9,996 | 0 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
3XX1X2859
21X658XX4
XXX4X3X21
XX32X5976
6XX7395XX
975864213
X3X947182
1X2X86XX7
XX8X2146X
Please fill in all the Xs.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please provide your answer a... | <think>
We are given a Sudoku grid with some numbers and some 'X' for unknowns.
The grid is provided as 9 lines, each line is a string of 9 characters (digits or 'X').
Steps:
1. Parse the input string into a 9x9 grid (list of lists).
2. We'll create helper functions to check the constraints (row, column, 3x3 subgr... | {"trace_id": "83fc8ab3-a3c1-4921-bb23-767d23457786", "original_sudoku": [[3, "X", "X", 1, "X", 2, 8, 5, 9], [2, 1, "X", 6, 5, 8, "X", "X", 4], ["X", "X", "X", 4, "X", 3, "X", 2, 1], ["X", "X", 3, 2, "X", 5, 9, 7, 6], [6, "X", "X", 7, 3, 9, 5, "X", "X"], [9, 7, 5, 8, 6, 4, 2, 1, 3], ["X", 3, "X", 9, 4, 7, 1, 8, 2], [1, ... | ((3, 6, 4, 1, 7, 2, 8, 5, 9), (2, 1, 9, 6, 5, 8, 7, 3, 4), (8, 5, 7, 4, 9, 3, 6, 2, 1), (4, 8, 3, 2, 1, 5, 9, 7, 6), (6, 2, 1, 7, 3, 9, 5, 4, 8), (9, 7, 5, 8, 6, 4, 2, 1, 3), (5, 3, 6, 9, 4, 7, 1, 8, 2), (1, 4, 2, 5, 8, 6, 3, 9, 7), (7, 9, 8, 3, 2, 1, 4, 6, 5)) |
9,996 | 1 | sudoku | Try to solve this Sudoku, where X represents unknown digits:
3XX1X2859
21X658XX4
XXX4X3X21
XX32X5976
6XX7395XX
975864213
X3X947182
1X2X86XX7
XX8X2146X
Please fill in all the Xs.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Please provide your answer a... | <think>
We are given a Sudoku grid with some cells filled and some marked as 'X' (unknown). The grid is provided as 9 lines of 9 characters each.
The grid:
Line 1: "3XX1X2859"
Line 2: "21X658XX4"
Line 3: "XXX4X3X21"
Line 4: "XX32X5976"
Line 5: "6XX7395XX"
Line 6: "975864213"
Line 7: "X3X947182"
Line 8: "1X2X86XX7"
Lin... | {"trace_id": "83fc8ab3-a3c1-4921-bb23-767d23457786", "original_sudoku": [[3, "X", "X", 1, "X", 2, 8, 5, 9], [2, 1, "X", 6, 5, 8, "X", "X", 4], ["X", "X", "X", 4, "X", 3, "X", 2, 1], ["X", "X", 3, 2, "X", 5, 9, 7, 6], [6, "X", "X", 7, 3, 9, 5, "X", "X"], [9, 7, 5, 8, 6, 4, 2, 1, 3], ["X", 3, "X", 9, 4, 7, 1, 8, 2], [1, ... | ((3, 6, 4, 1, 7, 2, 8, 5, 9), (2, 1, 9, 6, 5, 8, 7, 3, 4), (8, 5, 7, 4, 9, 3, 6, 2, 1), (4, 8, 3, 2, 1, 5, 9, 7, 6), (6, 2, 1, 7, 3, 9, 5, 4, 8), (9, 7, 5, 8, 6, 4, 2, 1, 3), (5, 3, 6, 9, 4, 7, 1, 8, 2), (1, 4, 2, 5, 8, 6, 3, 9, 7), (7, 9, 8, 3, 2, 1, 4, 6, 5)) |
9,997 | 0 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
XX4XXXX53
X7X4X8X92
23X5X1X48
XX72193X5
3X1X75X69
5X8346217
8691X7X34
7X36849XX
4X2X53X7X
Please complete it according to Sudoku rules.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Ple... | <think>
We are given a Sudoku puzzle with some numbers and blanks (represented by 'X'). We need to solve it and output the solution as a tuple of 9 tuples, each of 9 elements (the digits 1-9 for each row).
The puzzle is given as:
Row 0: XX4XXXX53
Row 1: X7X4X8X92
Row 2: 23X5X1X48
Row 3: XX72193X5
Row 4: 3X1X75X69
Row... | {"trace_id": "ce02b1b1-b2be-450c-8e74-75e4c83acb5c", "original_sudoku": [["X", "X", 4, "X", "X", "X", "X", 5, 3], ["X", 7, "X", 4, "X", 8, "X", 9, 2], [2, 3, "X", 5, "X", 1, "X", 4, 8], ["X", "X", 7, 2, 1, 9, 3, "X", 5], [3, "X", 1, "X", 7, 5, "X", 6, 9], [5, "X", 8, 3, 4, 6, 2, 1, 7], [8, 6, 9, 1, "X", 7, "X", 3, 4], ... | ((9, 8, 4, 7, 6, 2, 1, 5, 3), (1, 7, 5, 4, 3, 8, 6, 9, 2), (2, 3, 6, 5, 9, 1, 7, 4, 8), (6, 4, 7, 2, 1, 9, 3, 8, 5), (3, 2, 1, 8, 7, 5, 4, 6, 9), (5, 9, 8, 3, 4, 6, 2, 1, 7), (8, 6, 9, 1, 2, 7, 5, 3, 4), (7, 5, 3, 6, 8, 4, 9, 2, 1), (4, 1, 2, 9, 5, 3, 8, 7, 6)) |
9,997 | 1 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
XX4XXXX53
X7X4X8X92
23X5X1X48
XX72193X5
3X1X75X69
5X8346217
8691X7X34
7X36849XX
4X2X53X7X
Please complete it according to Sudoku rules.
Sudoku rules: Fill in digits 1-9 so that each digit appears exactly once in each row, column, and 3x3 sub-grid.
Ple... | <think>
We are given a Sudoku puzzle with some numbers and blanks (represented by 'X'). We need to solve it according to Sudoku rules.
The puzzle is given as a string of lines. Each line has 9 characters (either a digit or 'X').
Let me write down the puzzle:
Line 0: "XX4XXXX53"
Line 1: "X7X4X8X92"
Line 2: "23X5X1X48... | {"trace_id": "ce02b1b1-b2be-450c-8e74-75e4c83acb5c", "original_sudoku": [["X", "X", 4, "X", "X", "X", "X", 5, 3], ["X", 7, "X", 4, "X", 8, "X", 9, 2], [2, 3, "X", 5, "X", 1, "X", 4, 8], ["X", "X", 7, 2, 1, 9, 3, "X", 5], [3, "X", 1, "X", 7, 5, "X", 6, 9], [5, "X", 8, 3, 4, 6, 2, 1, 7], [8, 6, 9, 1, "X", 7, "X", 3, 4], ... | ((9, 8, 4, 7, 6, 2, 1, 5, 3), (1, 7, 5, 4, 3, 8, 6, 9, 2), (2, 3, 6, 5, 9, 1, 7, 4, 8), (6, 4, 7, 2, 1, 9, 3, 8, 5), (3, 2, 1, 8, 7, 5, 4, 6, 9), (5, 9, 8, 3, 4, 6, 2, 1, 7), (8, 6, 9, 1, 2, 7, 5, 3, 4), (7, 5, 3, 6, 8, 4, 9, 2, 1), (4, 1, 2, 9, 5, 3, 8, 7, 6)) |
9,998 | 0 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
8X2X6X495
X17XX43XX
4X9X25781
9X6X8XXXX
XXXXX62XX
74321X6XX
X7X6589XX
X549X2X1X
X9874XX62
Please fill in all the empty spaces according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column,... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for empty).
The puzzle is:
"8X2X6X495"
"X17XX43XX"
"4X9X25781"
"9X6X8XXXX"
"XXXXX62XX"
"74321X6XX"
"X7X6589XX"
"X549X2X1X"
"X9874XX62"
We need to solve it and output the solved grid as a tuple of 9 tuples, each... | {"trace_id": "db10cc89-5fee-49c9-b45d-fff9c45e537b", "original_sudoku": [[8, "X", 2, "X", 6, "X", 4, 9, 5], ["X", 1, 7, "X", "X", 4, 3, "X", "X"], [4, "X", 9, "X", 2, 5, 7, 8, 1], [9, "X", 6, "X", 8, "X", "X", "X", "X"], ["X", "X", "X", "X", "X", 6, 2, "X", "X"], [7, 4, 3, 2, 1, "X", 6, "X", "X"], ["X", 7, "X", 6, 5, 8... | ((8, 3, 2, 1, 6, 7, 4, 9, 5), (5, 1, 7, 8, 9, 4, 3, 2, 6), (4, 6, 9, 3, 2, 5, 7, 8, 1), (9, 2, 6, 5, 8, 3, 1, 7, 4), (1, 8, 5, 4, 7, 6, 2, 3, 9), (7, 4, 3, 2, 1, 9, 6, 5, 8), (2, 7, 1, 6, 5, 8, 9, 4, 3), (6, 5, 4, 9, 3, 2, 8, 1, 7), (3, 9, 8, 7, 4, 1, 5, 6, 2)) |
9,998 | 1 | sudoku | Solve the following Sudoku puzzle, where X indicates an empty space:
8X2X6X495
X17XX43XX
4X9X25781
9X6X8XXXX
XXXXX62XX
74321X6XX
X7X6589XX
X549X2X1X
X9874XX62
Please fill in all the empty spaces according to Sudoku rules.
Please solve according to Sudoku rules (numbers 1-9 must appear exactly once in each row, column,... | <think>
We are given a Sudoku puzzle with some numbers and X's for empty spaces.
The puzzle is provided as a string of 9 lines, each line has 9 characters (either a digit or 'X').
Steps:
1. Represent the puzzle as a 9x9 grid (list of lists).
2. We'll write helper functions to check the validity of a number in a ro... | {"trace_id": "db10cc89-5fee-49c9-b45d-fff9c45e537b", "original_sudoku": [[8, "X", 2, "X", 6, "X", 4, 9, 5], ["X", 1, 7, "X", "X", 4, 3, "X", "X"], [4, "X", 9, "X", 2, 5, 7, 8, 1], [9, "X", 6, "X", 8, "X", "X", "X", "X"], ["X", "X", "X", "X", "X", 6, 2, "X", "X"], [7, 4, 3, 2, 1, "X", 6, "X", "X"], ["X", 7, "X", 6, 5, 8... | ((8, 3, 2, 1, 6, 7, 4, 9, 5), (5, 1, 7, 8, 9, 4, 3, 2, 6), (4, 6, 9, 3, 2, 5, 7, 8, 1), (9, 2, 6, 5, 8, 3, 1, 7, 4), (1, 8, 5, 4, 7, 6, 2, 3, 9), (7, 4, 3, 2, 1, 9, 6, 5, 8), (2, 7, 1, 6, 5, 8, 9, 4, 3), (6, 5, 4, 9, 3, 2, 8, 1, 7), (3, 9, 8, 7, 4, 1, 5, 6, 2)) |
9,999 | 0 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
396X4X7XX
5X876291X
XXXXXXXX4
95XXXX3X8
X27X8X591
8XX259XXX
X326X8X75
7653XXX89
XXX5271XX
Please complete it according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please pr... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each with 9 characters (some are digits, some are 'X' for blank).
The puzzle:
396X4X7XX
5X876291X
XXXXXXXXXXX4 -> Actually, the third line is "XXXXXXXX4" (9 characters: 8 X's and a 4 at the end? Let me count:
But the problem says: "396X4X7XX" -> 9... | {"trace_id": "3f6036f4-5d27-4fe5-9b7d-f63e7ce26bfd", "original_sudoku": [[3, 9, 6, "X", 4, "X", 7, "X", "X"], [5, "X", 8, 7, 6, 2, 9, 1, "X"], ["X", "X", "X", "X", "X", "X", "X", "X", 4], [9, 5, "X", "X", "X", "X", 3, "X", 8], ["X", 2, 7, "X", 8, "X", 5, 9, 1], [8, "X", "X", 2, 5, 9, "X", "X", "X"], ["X", 3, 2, 6, "X",... | ((3, 9, 6, 8, 4, 1, 7, 5, 2), (5, 4, 8, 7, 6, 2, 9, 1, 3), (2, 7, 1, 9, 3, 5, 8, 6, 4), (9, 5, 4, 1, 7, 6, 3, 2, 8), (6, 2, 7, 4, 8, 3, 5, 9, 1), (8, 1, 3, 2, 5, 9, 6, 4, 7), (1, 3, 2, 6, 9, 8, 4, 7, 5), (7, 6, 5, 3, 1, 4, 2, 8, 9), (4, 8, 9, 5, 2, 7, 1, 3, 6)) |
9,999 | 1 | sudoku | Solve the Sudoku puzzle below, where X represents blank positions:
396X4X7XX
5X876291X
XXXXXXXX4
95XXXX3X8
X27X8X591
8XX259XXX
X326X8X75
7653XXX89
XXX5271XX
Please complete it according to Sudoku rules.
Rules of the Sudoku game: Each row, column, and 3×3 box must contain the numbers 1-9 with no repetitions.
Please pr... | <think>
We are given a Sudoku puzzle as a string of 9 lines, each line has 9 characters (with 'X' for blank).
The puzzle:
396X4X7XX
5X876291X
XXXXXXXX4
95XXXX3X8
X27X8X591
8XX259XXX
X326X8X75
7653XXX89
XXX5271XX
Steps:
1. We'll convert the puzzle into a 9x9 grid (list of lists) where each element is either... | {"trace_id": "3f6036f4-5d27-4fe5-9b7d-f63e7ce26bfd", "original_sudoku": [[3, 9, 6, "X", 4, "X", 7, "X", "X"], [5, "X", 8, 7, 6, 2, 9, 1, "X"], ["X", "X", "X", "X", "X", "X", "X", "X", 4], [9, 5, "X", "X", "X", "X", 3, "X", 8], ["X", 2, 7, "X", 8, "X", 5, 9, 1], [8, "X", "X", 2, 5, 9, "X", "X", "X"], ["X", 3, 2, 6, "X",... | ((3, 9, 6, 8, 4, 1, 7, 5, 2), (5, 4, 8, 7, 6, 2, 9, 1, 3), (2, 7, 1, 9, 3, 5, 8, 6, 4), (9, 5, 4, 1, 7, 6, 3, 2, 8), (6, 2, 7, 4, 8, 3, 5, 9, 1), (8, 1, 3, 2, 5, 9, 6, 4, 7), (1, 3, 2, 6, 9, 8, 4, 7, 5), (7, 6, 5, 3, 1, 4, 2, 8, 9), (4, 8, 9, 5, 2, 7, 1, 3, 6)) |
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