task_name
string
initial_board
string
solution
string
environment_info
string
puzzle_id
string
title
string
rules
string
initial_observation
string
solution_reference
string
rows
int64
cols
int64
visual_elements
string
encoded_puzzle
string
description
string
normal_sudoku_100
7.61.....8.....79..92..8.........6......3...9....4..2.1.7..298..6......29..78.1.6
736159248841623795592478361483291657275836419619547823157362984368914572924785136
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 100
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
7.61.....8.....79..92..8.........6......3...9....4..2.1.7..298..6......29..78.1.6
736159248841623795592478361483291657275836419619547823157362984368914572924785136
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_101
..53.......9.4...6.7...8.1...46......1...9.2.3...5.........17.2.2....198.........
245316987189745236673298415894623571517489623362157849438961752726534198951872364
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 101
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..53.......9.4...6.7...8.1...46......1...9.2.3...5.........17.2.2....198.........
245316987189745236673298415894623571517489623362157849438961752726534198951872364
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_102
.459...6.7........6.8....97...23.9.5..9.....64.....7...7....4.89....7.5..86.5....
245973861791586324638412597167238945829745136453691782572369418914827653386154279
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 102
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.459...6.7........6.8....97...23.9.5..9.....64.....7...7....4.89....7.5..86.5....
245973861791586324638412597167238945829745136453691782572369418914827653386154279
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_103
.5..9.7....7....8.2..6..4.......3..46...2.....9.5........4...13..1..854.5...1...8
354891726167245389289637451815973264673124895492586137728459613931768542546312978
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 103
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.5..9.7....7....8.2..6..4.......3..46...2.....9.5........4...13..1..854.5...1...8
354891726167245389289637451815973264673124895492586137728459613931768542546312978
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_104
.5.1..3.......9.2.4...3...8.4.7....61...6.4....6..2.5...4....9..3..5.6..8.......7
258176349613489725497235168345791286129568473786342951574613892932857614861924537
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 104
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.5.1..3.......9.2.4...3...8.4.7....61...6.4....6..2.5...4....9..3..5.6..8.......7
258176349613489725497235168345791286129568473786342951574613892932857614861924537
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_105
.5.3.......9.2..3......41.......6.81...7.....7......46..3.9.....2.5.....4....18..
154379268689125437237864159342956781561748923798213546813492675926587314475631892
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 105
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.5.3.......9.2..3......41.......6.81...7.....7......46..3.9.....2.5.....4....18..
154379268689125437237864159342956781561748923798213546813492675926587314475631892
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_106
.5..1..2...2.3..8.......4..7....2....85....4....54.7.8..7...29..2...9..4.948...75
356418927472936581918275436741682359685397142239541768867154293523769814194823675
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 106
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.5..1..2...2.3..8.......4..7....2....85....4....54.7.8..7...29..2...9..4.948...75
356418927472936581918275436741682359685397142239541768867154293523769814194823675
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_107
...7..5..1....3..6....9..2....2...7...6..4..3....5.9....1.....489.......3.7..1...
489762531172543896635198427543219678926874153718356942261935784894627315357481269
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 107
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
...7..5..1....3..6....9..2....2...7...6..4..3....5.9....1.....489.......3.7..1...
489762531172543896635198427543219678926874153718356942261935784894627315357481269
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_108
4.3.5...6.5....1..6....4....3...5..4....2....2..74.8......9.....7...6..55.8.7..9.
413257986752869143689134752837915264194628537265743819326591478971486325548372691
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 108
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
4.3.5...6.5....1..6....4....3...5..4....2....2..74.8......9.....7...6..55.8.7..9.
413257986752869143689134752837915264194628537265743819326591478971486325548372691
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_109
8..7.931...9..24.....8......6..8..2.2.46.7....789.....6..49.....92......4.7..68..
825749316739162458146835297961583724254617983378924165683491572592378641417256839
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 109
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
8..7.931...9..24.....8......6..8..2.2.46.7....789.....6..49.....92......4.7..68..
825749316739162458146835297961583724254617983378924165683491572592378641417256839
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_110
8..2....7.4...92....2.6..3....5..1....5..6.9.4...3....17...2..9..4...8....96...2.
891253647643179285752468931937524168215786493468931572176842359524397816389615724
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 110
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
8..2....7.4...92....2.6..3....5..1....5..6.9.4...3....17...2..9..4...8....96...2.
891253647643179285752468931937524168215786493468931572176842359524397816389615724
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_111
..4.3.2..8........7...96.8.....82.711.24....3.....34..2.....3.8.7.....4..3....71.
914835267865274139723196584349582671152467893687913425296741358571328946438659712
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 111
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..4.3.2..8........7...96.8.....82.711.24....3.....34..2.....3.8.7.....4..3....71.
914835267865274139723196584349582671152467893687913425296741358571328946438659712
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_112
3...6..8....1....6.6...71....29.....1...5.7...5.....4.7...3.8.......4.5...92....3
391562487574198236268347195432971568186453729957826341725639814613784952849215673
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 112
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
3...6..8....1....6.6...71....29.....1...5.7...5.....4.7...3.8.......4.5...92....3
391562487574198236268347195432971568186453729957826341725639814613784952849215673
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_113
.....6.2.94........163....7...1.87...78.6...3..47.38..4...........6...5..63..1..8
387416925942875631516392487635128749278964513194753862451289376829637154763541298
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 113
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.....6.2.94........163....7...1.87...78.6...3..47.38..4...........6...5..63..1..8
387416925942875631516392487635128749278964513194753862451289376829637154763541298
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_114
7..9..1.2.8.........2..3.5.8......3...7..25...6.4....7..1..7..54...9..7....6.....
753946182984521763612783954825179436147362598369458217291837645436295871578614329
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 114
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
7..9..1.2.8.........2..3.5.8......3...7..25...6.4....7..1..7..54...9..7....6.....
753946182984521763612783954825179436147362598369458217291837645436295871578614329
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_115
..94.....82...749....8..2.729...4..67.6.82....48.9..2............7...1.....9765..
579423618823167495461859237295714386716382954348695721654231879937548162182976543
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 115
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..94.....82...749....8..2.729...4..67.6.82....48.9..2............7...1.....9765..
579423618823167495461859237295714386716382954348695721654231879937548162182976543
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_116
4..8.......17.3.5..3..6.8.......86..7..4...3...9.....2.2......9...3.....1....5.4.
476851293281793456935264817512938674768412935349576182823147569654389721197625348
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 116
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
4..8.......17.3.5..3..6.8.......86..7..4...3...9.....2.2......9...3.....1....5.4.
476851293281793456935264817512938674768412935349576182823147569654389721197625348
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_117
..8..5....4..9.12..3..2..4.4..9...6.3...6.2.4.6....3..7...........1..7...9..7..3.
928415673546397128137628549471932865385761294269854317714283956653149782892576431
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 117
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..8..5....4..9.12..3..2..4.4..9...6.3...6.2.4.6....3..7...........1..7...9..7..3.
928415673546397128137628549471932865385761294269854317714283956653149782892576431
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_118
.....73......2...4.8....7..2.196.....75...9..6.......2.2.7.6..1..7.1.2..1....4.7.
916457328753821694482693715231965847875142963694378152529786431347519286168234579
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 118
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.....73......2...4.8....7..2.196.....75...9..6.......2.2.7.6..1..7.1.2..1....4.7.
916457328753821694482693715231965847875142963694378152529786431347519286168234579
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_119
..2.63..........8.5..4.1..2..12....5.....8.6..5...93..1.7.9....4.5.......2.1....7
912863754746925183583471692691237845374518269258649371167394528435782916829156437
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 119
puzzles5_forum_hardest_1905_11+
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..2.63..........8.5..4.1..2..12....5.....8.6..5...93..1.7.9....4.5.......2.1....7
912863754746925183583471692691237845374518269258649371167394528435782916829156437
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_120
...9....5.....83.....3.6..7.9.5.7...8...6.5..3..8...76.....9..3..37...5.42.....98
238971465769458321145326987694517832871263549352894176587649213913782654426135798
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 120
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
...9....5.....83.....3.6..7.9.5.7...8...6.5..3..8...76.....9..3..37...5.42.....98
238971465769458321145326987694517832871263549352894176587649213913782654426135798
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_121
4...782.....2.........64.8.7..4...6..41...5......17....3...96..8..6...2..59.....3
465378291378291456192564387783425169941836572526917834234759618817643925659182743
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 121
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
4...782.....2.........64.8.7..4...6..41...5......17....3...96..8..6...2..59.....3
465378291378291456192564387783425169941836572526917834234759618817643925659182743
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_122
.4...1..736...2..41...5.9..2....8.4..8....6..4.7.....8....1..........3...2...7..6
542391867369782154178654923236178549985243671417965238653419782794826315821537496
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 122
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.4...1..736...2..41...5.9..2....8.4..8....6..4.7.....8....1..........3...2...7..6
542391867369782154178654923236178549985243671417965238653419782794826315821537496
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_123
.....5..1.49..73.61...3.2..7....6.25...7.........23.1......15.7....7..62..5....3.
367295841249187356158634279783416925412759683596823714824361597931578462675942138
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 123
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.....5..1.49..73.61...3.2..7....6.25...7.........23.1......15.7....7..62..5....3.
367295841249187356158634279783416925412759683596823714824361597931578462675942138
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_124
....2...6....4......2..147...7...32.1..2.7..8.5...31..9...............8...41..73.
435729816719648253862531479697814325143257698258963147971382564326475981584196732
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 124
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
....2...6....4......2..147...7...32.1..2.7..8.5...31..9...............8...41..73.
435729816719648253862531479697814325143257698258963147971382564326475981584196732
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_125
..83.54...2.....353...6..8..9...........1...4..48.3.7.1..9..7.............75.1..8
678395412429178635315264987891457326732619854564823179156982743283746591947531268
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 125
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..83.54...2.....353...6..8..9...........1...4..48.3.7.1..9..7.............75.1..8
678395412429178635315264987891457326732619854564823179156982743283746591947531268
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_126
.8.4....9.1...2.....7...28..4.1....5....3..9.3.1...7...6..45......6...5...8.914.6
283457169419862573657913284746189325825734691391526748962345817134678952578291436
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 126
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.8.4....9.1...2.....7...28..4.1....5....3..9.3.1...7...6..45......6...5...8.914.6
283457169419862573657913284746189325825734691391526748962345817134678952578291436
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_127
...5..71.....7...6..7..25..3.5.2.9...8.9...5..1...5.4.6....3...8...4.....932..4..
236598714158374296947612538365421987482967153719835642674153829821749365593286471
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 127
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
...5..71.....7...6..7..25..3.5.2.9...8.9...5..1...5.4.6....3...8...4.....932..4..
236598714158374296947612538365421987482967153719835642674153829821749365593286471
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_128
5...6...4.7.3...2...1...5...9..32.....79..2......76.9.....8.....2.6...7...8..41..
583267914974315826261849537196432785347958261852176493719583642425691378638724159
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 128
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
5...6...4.7.3...2...1...5...9..32.....79..2......76.9.....8.....2.6...7...8..41..
583267914974315826261849537196432785347958261852176493719583642425691378638724159
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_129
..4.8...68....5....2.........1.394.......7.63...8....9.7...8..42..5....1..3.6..9.
594783216816925347327416958751639482948257163632841579175398624269574831483162795
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 129
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..4.8...68....5....2.........1.394.......7.63...8....9.7...8..42..5....1..3.6..9.
594783216816925347327416958751639482948257163632841579175398624269574831483162795
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_130
..6.1...4..1..629..7.9...1.7...54.3..5...9.....37......3.4...5.2.....8......9...1
986213574341576298572948613728654139654139782193782465837421956219365847465897321
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 130
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..6.1...4..1..629..7.9...1.7...54.3..5...9.....37......3.4...5.2.....8......9...1
986213574341576298572948613728654139654139782193782465837421956219365847465897321
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_131
.97.2..658.5...9.262....87.5..2.......9.....7..8.7659..86..........43..6......2..
397428165815637942624915873573291684169584327248376591786152439952843716431769258
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 131
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.97.2..658.5...9.262....87.5..2.......9.....7..8.7659..86..........43..6......2..
397428165815637942624915873573291684169584327248376591786152439952843716431769258
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_132
.2...96.5..5.16.4.46......12...381...5......61.....9..6.9.....2...9..4..5..2.....
821349675935716248467582391296438157354197826178625934649873512782951463513264789
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 132
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.2...96.5..5.16.4.46......12...381...5......61.....9..6.9.....2...9..4..5..2.....
821349675935716248467582391296438157354197826178625934649873512782951463513264789
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_133
6.7..1..4.......1..1.94......35......6...437..4...6.95..6.8.7...7...9.6.2.......9
697321584432865917815947623723598146569214378148736295956482731374159862281673459
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 133
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
6.7..1..4.......1..1.94......35......6...437..4...6.95..6.8.7...7...9.6.2.......9
697321584432865917815947623723598146569214378148736295956482731374159862281673459
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_134
..5....2.4..2..8...2..1.4.39...6.......4.9..6.5.3...8.28.1...3......7...5.1.3....
365948721417253869829716453948561372732489516156372984284195637693827145571634298
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 134
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..5....2.4..2..8...2..1.4.39...6.......4.9..6.5.3...8.28.1...3......7...5.1.3....
365948721417253869829716453948561372732489516156372984284195637693827145571634298
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_135
3..5..1....6..2....9..3..2..6.3..8.......7..41...5..3...78....9.4...3.8.8...9.2..
328579146716482395495136728962341857583267914174958632237815469649723581851694273
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 135
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
3..5..1....6..2....9..3..2..6.3..8.......7..41...5..3...78....9.4...3.8.8...9.2..
328579146716482395495136728962341857583267914174958632237815469649723581851694273
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_136
.4.1......2647....9.1.6......7..438..9...7.2...26....7.79..62..1...2.....6...1.4.
745138962826479135931562874657294381498317526312685497579846213184723659263951748
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 136
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.4.1......2647....9.1.6......7..438..9...7.2...26....7.79..62..1...2.....6...1.4.
745138962826479135931562874657294381498317526312685497579846213184723659263951748
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_137
8.......73.792......4...5...83...4..5.6....7....3...68.4....8.36.8..3.5......7.46
821534697357926184964178532283769415516482379479315268745691823698243751132857946
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 137
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
8.......73.792......4...5...83...4..5.6....7....3...68.4....8.36.8..3.5......7.46
821534697357926184964178532283769415516482379479315268745691823698243751132857946
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_138
..7..3.......1..6.69.7......2....5....19...3.8.......4.....4..25.....8....36...7.
217863459354219768698745123729436581461958237835127694986574312572391846143682975
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 138
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..7..3.......1..6.69.7......2....5....19...3.8.......4.....4..25.....8....36...7.
217863459354219768698745123729436581461958237835127694986574312572391846143682975
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_139
..7.3..6...61.9..292....1.3.3..912.6.6......71..7..3.........2......5...2....8..9
517832964386149752924657183738591246469283517152764398891376425643925871275418639
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 139
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..7.3..6...61.9..292....1.3.3..912.6.6......71..7..3.........2......5...2....8..9
517832964386149752924657183738591246469283517152764398891376425643925871275418639
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_140
.8...9.4...3.5.....2......5..4..1..8.1.7........94..1.6...1.2.3.4...7.9...26....4
586179342473852169921436875754261938319785426268943517697514283845327691132698754
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 140
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.8...9.4...3.5.....2......5..4..1..8.1.7........94..1.6...1.2.3.4...7.9...26....4
586179342473852169921436875754261938319785426268943517697514283845327691132698754
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_141
..4..37.....6....9....2..1.43...5...1.........78...3...5...84.....1...2.7...9...6
964813752521674839387529614432985167195736248678241395259368471846157923713492586
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 141
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..4..37.....6....9....2..1.43...5...1.........78...3...5...84.....1...2.7...9...6
964813752521674839387529614432985167195736248678241395259368471846157923713492586
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_142
8....6.5..1.9....32....8.16.5...2...1..68...2.....7.6.....4....5....1.2.......7..
893716254416925873275438916658192437137684592942357168729543681564871329381269745
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 142
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
8....6.5..1.9....32....8.16.5...2...1..68...2.....7.6.....4....5....1.2.......7..
893716254416925873275438916658192437137684592942357168729543681564871329381269745
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_143
.2..48.....43...2.39....5...4.9...3...6..7...9...8.1...6....7..4..6...9.....1...5
621548973754396821398172564845961237136257489972483156569834712417625398283719645
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 143
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.2..48.....43...2.39....5...4.9...3...6..7...9...8.1...6....7..4..6...9.....1...5
621548973754396821398172564845961237136257489972483156569834712417625398283719645
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_144
2...4.6......6791...6..3....83..47...6..283..4...7....3.7.......4...2..7..8.....6
271849653534267918896153274183694725769528341452371869317486592645932187928715436
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 144
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
2...4.6......6791...6..3....83..47...6..283..4...7....3.7.......4...2..7..8.....6
271849653534267918896153274183694725769528341452371869317486592645932187928715436
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_145
3...7.6....4..517..7.4....2..1..4.8.4.....7..62....3....951.......84..1......9...
315278694284695173976431852751324986493186725628957341839512467567843219142769538
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 145
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
3...7.6....4..517..7.4....2..1..4.8.4.....7..62....3....951.......84..1......9...
315278694284695173976431852751324986493186725628957341839512467567843219142769538
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_146
......67..6.74.5.1..1....42...19...7......2..2...3.....2......5.74..61..1.5.7...4
549821673862743591731965842658192437493657218217438956926314785374586129185279364
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 146
01_file1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
......67..6.74.5.1..1....42...19...7......2..2...3.....2......5.74..61..1.5.7...4
549821673862743591731965842658192437493657218217438956926314785374586129185279364
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_147
..7.45.3....7..9...5..3....73.5...9.1...9......23...4..7.4...2.2...6......9...8..
627945138381726954954138762736584291145692387892371546578413629213869475469257813
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 147
puzzles5_forum_hardest_1905_11+
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
..7.45.3....7..9...5..3....73.5...9.1...9......23...4..7.4...2.2...6......9...8..
627945138381726954954138762736584291145692387892371546578413629213869475469257813
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_148
.6.9...7.....8.9..9.2..6..4.....8...5.13..6...7..1..3...4..3..23...5.1.....8...9.
863941275417582963952736814639428751541397628278615439794163582386259147125874396
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 148
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.6.9...7.....8.9..9.2..6..4.....8...5.13..6...7..1..3...4..3..23...5.1.....8...9.
863941275417582963952736814639428751541397628278615439794163582386259147125874396
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
normal_sudoku_149
.1..7..4....5.....7.3..4..8.7...5.1.6.....2....4.9...3....4...5.....8.9.2..7.96..
815972346496583172723614958372865419659431287184297563937146825561328794248759631
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. ### Visual Elements None
Basic 9x9 Sudoku 149
puzzles4_forum_hardest_1905
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid.
.1..7..4....5.....7.3..4..8.7...5.1.6.....2....4.9...3....4...5.....8.9.2..7.96..
815972346496583172723614958372865419659431287184297563937146825561328794248759631
9
9
None
None
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_0
..3..5....7.3...2.8...6.4...1...8..5..8.2.6..3..9...1...6.7...9.2...9.4....4..1..
243815967675394821891762453912648735758123694364957218436271589127589346589436172
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2311h1
Nikoli nhk2311h1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . 3 . . 5 . . . . 7 . 3 . . . 2 . 8 . . . 6 . 4 . . . 1 . . . 8 . . 5 . . 8 . 2 . 6 . . 3 . . 9 . . . 1 . . . 6 . 7 . . . 9 . 2 . . . 9 . 4 . . . . 4 . . 1 . .
2 4 3 8 1 5 9 6 7 6 7 5 3 9 4 8 2 1 8 9 1 7 6 2 4 5 3 9 1 2 6 4 8 7 3 5 7 5 8 1 2 3 6 9 4 3 6 4 9 5 7 2 1 8 4 3 6 2 7 1 5 8 9 1 2 7 5 8 9 3 4 6 5 8 9 4 3 6 1 7 2
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_1
...1...2...3.4.8..9.1..7.3..6.5....8..5...3..2....4.7..5.2..6.1..7.5.4...8...9...
876135924523946817941827536769513248415782369238694175354278691697351482182469753
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2204m
Nikoli nhk2204m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . . 1 . . . 2 . . . 3 . 4 . 8 . . 9 . 1 . . 7 . 3 . . 6 . 5 . . . . 8 . . 5 . . . 3 . . 2 . . . . 4 . 7 . . 5 . 2 . . 6 . 1 . . 7 . 5 . 4 . . . 8 . . . 9 . . .
8 7 6 1 3 5 9 2 4 5 2 3 9 4 6 8 1 7 9 4 1 8 2 7 5 3 6 7 6 9 5 1 3 2 4 8 4 1 5 7 8 2 3 6 9 2 3 8 6 9 4 1 7 5 3 5 4 2 7 8 6 9 1 6 9 7 3 5 1 4 8 2 1 8 2 4 6 9 7 5 3
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_2
.9.1...2.2.7.4...8.....5.6...8.....3.6.....5.9.....8...2.6.....4...8.7.1.5...9.4.
695138427217946538384725169548261973163897254972453816729614385436582791851379642
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2205m
Nikoli nhk2205m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. 9 . 1 . . . 2 . 2 . 7 . 4 . . . 8 . . . . . 5 . 6 . . . 8 . . . . . 3 . 6 . . . . . 5 . 9 . . . . . 8 . . . 2 . 6 . . . . . 4 . . . 8 . 7 . 1 . 5 . . . 9 . 4 .
6 9 5 1 3 8 4 2 7 2 1 7 9 4 6 5 3 8 3 8 4 7 2 5 1 6 9 5 4 8 2 6 1 9 7 3 1 6 3 8 9 7 2 5 4 9 7 2 4 5 3 8 1 6 7 2 9 6 1 4 3 8 5 4 3 6 5 8 2 7 9 1 8 5 1 3 7 9 6 4 2
9
9
None
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_3
..3.5..7..1.8..3..9....7.6...2..6..4....4....1..2..5...9.1....8..7..8.3..8..9.7..
643952871715864392928317465532786914879541623164239587396175248457628139281493756
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2208h1
Nikoli nhk2208h1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . 3 . 5 . . 7 . . 1 . 8 . . 3 . . 9 . . . . 7 . 6 . . . 2 . . 6 . . 4 . . . . 4 . . . . 1 . . 2 . . 5 . . . 9 . 1 . . . . 8 . . 7 . . 8 . 3 . . 8 . . 9 . 7 . .
6 4 3 9 5 2 8 7 1 7 1 5 8 6 4 3 9 2 9 2 8 3 1 7 4 6 5 5 3 2 7 8 6 9 1 4 8 7 9 5 4 1 6 2 3 1 6 4 2 3 9 5 8 7 3 9 6 1 7 5 2 4 8 4 5 7 6 2 8 1 3 9 2 8 1 4 9 3 7 5 6
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_4
.3..4..6...4..5...9.....2...4.1....3..5.8.7..2....6.8...9.....6...7..5...1..2..9.
832947165674215938951863247748192653165384729293576481329451876486739512517628394
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk1907h1
Nikoli nhk1907h1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. 3 . . 4 . . 6 . . . 4 . . 5 . . . 9 . . . . . 2 . . . 4 . 1 . . . . 3 . . 5 . 8 . 7 . . 2 . . . . 6 . 8 . . . 9 . . . . . 6 . . . 7 . . 5 . . . 1 . . 2 . . 9 .
8 3 2 9 4 7 1 6 5 6 7 4 2 1 5 9 3 8 9 5 1 8 6 3 2 4 7 7 4 8 1 9 2 6 5 3 1 6 5 3 8 4 7 2 9 2 9 3 5 7 6 4 8 1 3 2 9 4 5 1 8 7 6 4 8 6 7 3 9 5 1 2 5 1 7 6 2 8 3 9 4
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_5
6..5...4...1..9....5..8.7.1..7....3.5..2.4..6.2....9..3.9.7..8....4..2...1...8..3
678521349231749568954386721487965132593214876126837954349172685865493217712658493
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2107m
Nikoli nhk2107m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
6 . . 5 . . . 4 . . . 1 . . 9 . . . . 5 . . 8 . 7 . 1 . . 7 . . . . 3 . 5 . . 2 . 4 . . 6 . 2 . . . . 9 . . 3 . 9 . 7 . . 8 . . . . 4 . . 2 . . . 1 . . . 8 . . 3
6 7 8 5 2 1 3 4 9 2 3 1 7 4 9 5 6 8 9 5 4 3 8 6 7 2 1 4 8 7 9 6 5 1 3 2 5 9 3 2 1 4 8 7 6 1 2 6 8 3 7 9 5 4 3 4 9 1 7 2 6 8 5 8 6 5 4 9 3 2 1 7 7 1 2 6 5 8 4 9 3
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_6
...2..6....4..6.8..5..8...33..1.2.5...9...7...2.9.4..17...2..4..9.3..1....8..5...
871243695934516287652789413386172954149658732527934861763821549495367128218495376
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk1907h2
Nikoli nhk1907h2
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . . 2 . . 6 . . . . 4 . . 6 . 8 . . 5 . . 8 . . . 3 3 . . 1 . 2 . 5 . . . 9 . . . 7 . . . 2 . 9 . 4 . . 1 7 . . . 2 . . 4 . . 9 . 3 . . 1 . . . . 8 . . 5 . . .
8 7 1 2 4 3 6 9 5 9 3 4 5 1 6 2 8 7 6 5 2 7 8 9 4 1 3 3 8 6 1 7 2 9 5 4 1 4 9 6 5 8 7 3 2 5 2 7 9 3 4 8 6 1 7 6 3 8 2 1 5 4 9 4 9 5 3 6 7 1 2 8 2 1 8 4 9 5 3 7 6
9
9
None
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_7
5..9....4..1.2.....3...78..7......5...94.32...2......1..41...3.....5.7..3....6..9
587931624641528397932647815716892453859413276423765981264179538198354762375286149
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2311m
Nikoli nhk2311m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
5 . . 9 . . . . 4 . . 1 . 2 . . . . . 3 . . . 7 8 . . 7 . . . . . . 5 . . . 9 4 . 3 2 . . . 2 . . . . . . 1 . . 4 1 . . . 3 . . . . . 5 . 7 . . 3 . . . . 6 . . 9
5 8 7 9 3 1 6 2 4 6 4 1 5 2 8 3 9 7 9 3 2 6 4 7 8 1 5 7 1 6 8 9 2 4 5 3 8 5 9 4 1 3 2 7 6 4 2 3 7 6 5 9 8 1 2 6 4 1 7 9 5 3 8 1 9 8 3 5 4 7 6 2 3 7 5 2 8 6 1 4 9
9
9
None
sclN4SwJgXA5AdgFgawEwGYCMaC2UA0mCmALgIZjEkTDECuhcA9gE7QByIC9ANiLo9Z/gDOrJpmKcABAE4AHlImDqYegmoS+AwROIAHHZwCeAOlyCutEPRjQArAA4A7FPQA2JABYX7tDaR2UUk4oSF4Odj4OaC52Uh42KHY2Ut7BDl6oaUnhId5O8eFS/jbuaRm+di5o7lK4hKzsXCAS8MjoWFAAvjgAxsI2AAw9+BAA2iPAAG4QNl04OJMQUrNz81PuHQC6OCNzC2izC0jLOFs7CyjHCw5dC3azp1fHKwszJ9u7U0urEOsfEBffI5zU6Ap5/fYg76/PaXKYAyF/V7fa7A7bnJ4LFzLBZLDZbRjDMYjQb9U6DNBknBIU5oHCk7a0ikMqmnJB01k4JkjNnU07EnAoSnuSk2GkCsXC5mi7ZswUynCS7k4UV8wYuSkOSl2MXq5ma5na+W6pX6pXavkodnbS1cy3U7buK0jR1cx32kY2J2erme3nbEaWuUBhWnS3S53ih0hqPhz1Bz2Kz0q/2W42W02Ww0R42O02OrOe42e02e83+lxOitcivuhxOutcuvuuxOltclt+sYVoMVxUV8N1oN1xV18MtoMtxUt5NdnDGiumitZuvGuumutZlvGlumlvmjYdIA=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_8
.4......5..7..6.3.8....4.6..2.1..8..4...3...9..1..9.5..9.2....1.8.4..9..5......7.
246381795157926438839754162925167843478532619361849257694273581783415926512698374
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2209h2
Nikoli nhk2209h2
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. 4 . . . . . . 5 . . 7 . . 6 . 3 . 8 . . . . 4 . 6 . . 2 . 1 . . 8 . . 4 . . . 3 . . . 9 . . 1 . . 9 . 5 . . 9 . 2 . . . . 1 . 8 . 4 . . 9 . . 5 . . . . . . 7 .
2 4 6 3 8 1 7 9 5 1 5 7 9 2 6 4 3 8 8 3 9 7 5 4 1 6 2 9 2 5 1 6 7 8 4 3 4 7 8 5 3 2 6 1 9 3 6 1 8 4 9 2 5 7 6 9 4 2 7 3 5 8 1 7 8 3 4 1 5 9 2 6 5 1 2 6 9 8 3 7 4
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_9
7...1.6...4.5...9...8..9..358....1..9...5...8..1....456..4..3...7...3.2...2.9...7
793218654146537892258649713587924136964351278321786945615472389479863521832195467
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2303h1
Nikoli nhk2303h1
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
7 . . . 1 . 6 . . . 4 . 5 . . . 9 . . . 8 . . 9 . . 3 5 8 . . . . 1 . . 9 . . . 5 . . . 8 . . 1 . . . . 4 5 6 . . 4 . . 3 . . . 7 . . . 3 . 2 . . . 2 . 9 . . . 7
7 9 3 2 1 8 6 5 4 1 4 6 5 3 7 8 9 2 2 5 8 6 4 9 7 1 3 5 8 7 9 2 4 1 3 6 9 6 4 3 5 1 2 7 8 3 2 1 7 8 6 9 4 5 6 1 5 4 7 2 3 8 9 4 7 9 8 6 3 5 2 1 8 3 2 1 9 5 4 6 7
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_10
.4...8...5..1..9....7.3..1..9......7..2.4.8..1......6..8..9.4....3..7..2...5...3.
941658723536172984827439615698215347372946851154783269285391476413867592769524138
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2308m
Nikoli nhk2308m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. 4 . . . 8 . . . 5 . . 1 . . 9 . . . . 7 . 3 . . 1 . . 9 . . . . . . 7 . . 2 . 4 . 8 . . 1 . . . . . . 6 . . 8 . . 9 . 4 . . . . 3 . . 7 . . 2 . . . 5 . . . 3 .
9 4 1 6 5 8 7 2 3 5 3 6 1 7 2 9 8 4 8 2 7 4 3 9 6 1 5 6 9 8 2 1 5 3 4 7 3 7 2 9 4 6 8 5 1 1 5 4 7 8 3 2 6 9 2 8 5 3 9 1 4 7 6 4 1 3 8 6 7 5 9 2 7 6 9 5 2 4 1 3 8
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_11
...2......4...9..71.9.4.6...7.6....8..5.7.9..3....1.5...2.1.5.66..4...3......3...
783256149546189327129347685974635218215874963368921754432718596657492831891563472
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk1905h
Nikoli nhk1905h
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . . 2 . . . . . . 4 . . . 9 . . 7 1 . 9 . 4 . 6 . . . 7 . 6 . . . . 8 . . 5 . 7 . 9 . . 3 . . . . 1 . 5 . . . 2 . 1 . 5 . 6 6 . . 4 . . . 3 . . . . . . 3 . . .
7 8 3 2 5 6 1 4 9 5 4 6 1 8 9 3 2 7 1 2 9 3 4 7 6 8 5 9 7 4 6 3 5 2 1 8 2 1 5 8 7 4 9 6 3 3 6 8 9 2 1 7 5 4 4 3 2 7 1 8 5 9 6 6 5 7 4 9 2 8 3 1 8 9 1 5 6 3 4 7 2
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_12
9..6....2..8..3....1..7.4....7....3.5..8.1..9.8....1....3.6..7....9..5..8....2..6
975684312428153697316279485147596238532841769689327154293465871764918523851732946
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2304m
Nikoli nhk2304m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
9 . . 6 . . . . 2 . . 8 . . 3 . . . . 1 . . 7 . 4 . . . . 7 . . . . 3 . 5 . . 8 . 1 . . 9 . 8 . . . . 1 . . . . 3 . 6 . . 7 . . . . 9 . . 5 . . 8 . . . . 2 . . 6
9 7 5 6 8 4 3 1 2 4 2 8 1 5 3 6 9 7 3 1 6 2 7 9 4 8 5 1 4 7 5 9 6 2 3 8 5 3 2 8 4 1 7 6 9 6 8 9 3 2 7 1 5 4 2 9 3 4 6 5 8 7 1 7 6 4 9 1 8 5 2 3 8 5 1 7 3 2 9 4 6
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_13
..4.8...5.1.9..8..2......6..4.1..9..6.......4..5..7.3..2......8..7..2.1.3...6.5..
964783125513926847278514369742138956631259784895647231126375498457892613389461572
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk1912h2
Nikoli nhk1912h2
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . 4 . 8 . . . 5 . 1 . 9 . . 8 . . 2 . . . . . . 6 . . 4 . 1 . . 9 . . 6 . . . . . . . 4 . . 5 . . 7 . 3 . . 2 . . . . . . 8 . . 7 . . 2 . 1 . 3 . . . 6 . 5 . .
9 6 4 7 8 3 1 2 5 5 1 3 9 2 6 8 4 7 2 7 8 5 1 4 3 6 9 7 4 2 1 3 8 9 5 6 6 3 1 2 5 9 7 8 4 8 9 5 6 4 7 2 3 1 1 2 6 3 7 5 4 9 8 4 5 7 8 9 2 6 1 3 3 8 9 4 6 1 5 7 2
9
9
None
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_14
.2..9.6....4..1..97..2...5.2..8..1......3......3..5..4.5...6..71..3..8....6.8..9.
825493671634571289719268453267849135541732968983615724458926317192357846376184592
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2307h2
Nikoli nhk2307h2
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. 2 . . 9 . 6 . . . . 4 . . 1 . . 9 7 . . 2 . . . 5 . 2 . . 8 . . 1 . . . . . . 3 . . . . . . 3 . . 5 . . 4 . 5 . . . 6 . . 7 1 . . 3 . . 8 . . . . 6 . 8 . . 9 .
8 2 5 4 9 3 6 7 1 6 3 4 5 7 1 2 8 9 7 1 9 2 6 8 4 5 3 2 6 7 8 4 9 1 3 5 5 4 1 7 3 2 9 6 8 9 8 3 6 1 5 7 2 4 4 5 8 9 2 6 3 1 7 1 9 2 3 5 7 8 4 6 3 7 6 1 8 4 5 9 2
9
9
None
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_15
..3.9.4...5.8...1.6....2..7..2....3.1...8...6.9....5..4..1....2.7...6.8...9.5.3..
823791465957864213614532897782645139145983726396217548438179652571326984269458371
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2309m
Nikoli nhk2309m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . 3 . 9 . 4 . . . 5 . 8 . . . 1 . 6 . . . . 2 . . 7 . . 2 . . . . 3 . 1 . . . 8 . . . 6 . 9 . . . . 5 . . 4 . . 1 . . . . 2 . 7 . . . 6 . 8 . . . 9 . 5 . 3 . .
8 2 3 7 9 1 4 6 5 9 5 7 8 6 4 2 1 3 6 1 4 5 3 2 8 9 7 7 8 2 6 4 5 1 3 9 1 4 5 9 8 3 7 2 6 3 9 6 2 1 7 5 4 8 4 3 8 1 7 9 6 5 2 5 7 1 3 2 6 9 8 4 2 6 9 4 5 8 3 7 1
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_16
..3..4.5.2..6....8.9..5.6..7.4....6....9.2....1....5.3..1.7..8.4....1..2.7.4..9..
863294157245617398197358624784135269536942871912786543321579486459861732678423915
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2206m
Nikoli nhk2206m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . 3 . . 4 . 5 . 2 . . 6 . . . . 8 . 9 . . 5 . 6 . . 7 . 4 . . . . 6 . . . . 9 . 2 . . . . 1 . . . . 5 . 3 . . 1 . 7 . . 8 . 4 . . . . 1 . . 2 . 7 . 4 . . 9 . .
8 6 3 2 9 4 1 5 7 2 4 5 6 1 7 3 9 8 1 9 7 3 5 8 6 2 4 7 8 4 1 3 5 2 6 9 5 3 6 9 4 2 8 7 1 9 1 2 7 8 6 5 4 3 3 2 1 5 7 9 4 8 6 4 5 9 8 6 1 7 3 2 6 7 8 4 2 3 9 1 5
9
9
None
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_17
4..7...2...8...3...6..59..7..43...9.5...8...3.3...14..6..19..7...5...6...7...2..1
451738926798216354362459187184367295526984713937521468643195872215873649879642531
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk1911h2
Nikoli nhk1911h2
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
4 . . 7 . . . 2 . . . 8 . . . 3 . . . 6 . . 5 9 . . 7 . . 4 3 . . . 9 . 5 . . . 8 . . . 3 . 3 . . . 1 4 . . 6 . . 1 9 . . 7 . . . 5 . . . 6 . . . 7 . . . 2 . . 1
4 5 1 7 3 8 9 2 6 7 9 8 2 1 6 3 5 4 3 6 2 4 5 9 1 8 7 1 8 4 3 6 7 2 9 5 5 2 6 9 8 4 7 1 3 9 3 7 5 2 1 4 6 8 6 4 3 1 9 5 8 7 2 2 1 5 8 7 3 6 4 9 8 7 9 6 4 2 5 3 1
9
9
None
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_18
..9.6.5...1...5.7.5..4....3.8....9.....1.7.....4....6.1....8..5.7.9...8...3.2.4..
329761548418235679567489123781643952652197834934852761146378295275914386893526417
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2211m
Nikoli nhk2211m
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. . 9 . 6 . 5 . . . 1 . . . 5 . 7 . 5 . . 4 . . . . 3 . 8 . . . . 9 . . . . . 1 . 7 . . . . . 4 . . . . 6 . 1 . . . . 8 . . 5 . 7 . 9 . . . 8 . . . 3 . 2 . 4 . .
3 2 9 7 6 1 5 4 8 4 1 8 2 3 5 6 7 9 5 6 7 4 8 9 1 2 3 7 8 1 6 4 3 9 5 2 6 5 2 1 9 7 8 3 4 9 3 4 8 5 2 7 6 1 1 4 6 3 7 8 2 9 5 2 7 5 9 1 4 3 8 6 8 9 3 5 2 6 4 1 7
9
9
None
sclN4SwJgXA5AdgFgawExIIyoLZQDQYKYAuAhmEcRMEQK4FwD2ATtAHIgJ0A2IODVHeAZxaMMRDgAIAnAA9J4gVTB0EVcb34DxRAA7aOATwB0OAZxog6MaAGYkkgOwA2VAFYALAA43qD0msvHe0kA+09JVD97D1RHN2tgpEcXNAcPazdJdI9kp3Q3R2souxyXcLiPRw9M5NjUexwCFjZOEHF4ZDRMKABfbABjIRcABn68CABtcexsYAA3CElemfnHJbmIFyWAXWwp9dQl6fXNo/n7Xp3x48P1t0PTiGtuy+WID3vXxemXh4OH8+m2B+tw+61WQN2+1B83egOuL3WAM+93WsOB8yeDyQa3md2+OwYY0m4xGQ0uI1Q5OwSEuqGwZN2dMpjOplyQ9LZ2GZ43ZNMuJOw1ipbipLlpgvFIpZYt27KFsuwUp52DF/JGjip9ipHnFGpZWpZOoVeuVBuVOv51g5uyt3KtNN2bmt4yd3KdDvGLmdXu5Xr5u3GVvlgcVlytMpdEsdoejEa9wa9Sq9qoDVpNVrNVqNkZNTrNTuzXpNXrNXotAcczsr3MrHvszvr3PrHo8ztb3Nb/smleDlaVlYj9eD9aV9YjreDraVrZT3ewJsrZsr2frJvrZvr2dbJtbZtbFq23SAA===
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_19
.5...7..3..7.4.2..1..6...8...61......2.....5......86...7...4..9..3.2.4..8..9...1.
659287143387541296142639587496152738728463951531798624275314869913826475864975312
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. " ### Visual Elements None
nhk2202h2
Nikoli nhk2202h2
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. "
. 5 . . . 7 . . 3 . . 7 . 4 . 2 . . 1 . . 6 . . . 8 . . . 6 1 . . . . . . 2 . . . . . 5 . . . . . . 8 6 . . . 7 . . . 4 . . 9 . . 3 . 2 . 4 . . 8 . . 9 . . . 1 .
6 5 9 2 8 7 1 4 3 3 8 7 5 4 1 2 9 6 1 4 2 6 3 9 5 8 7 4 9 6 1 5 2 7 3 8 7 2 8 4 6 3 9 5 1 5 3 1 7 9 8 6 2 4 2 7 5 3 1 4 8 6 9 9 1 3 8 2 6 4 7 5 8 6 4 9 7 5 3 1 2
9
9
None
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Complete the sudoku board based on the rules and visual elements.
sudoku_bench_20
.................................1...............................................
419527836327846951568913427675238149943751682182469573851392764294675318736184295
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nDigits separated by a V sum to 5. Digits separated by an X sum to 10.\nDigits along thermometers must increase from the bulb end to the tip.\nDigits in cages sum to the small number printed in the corner.\nEvery string of three adjacent digits along a peach Entropic line must contain one low digit (123) one medium digit (456) and one high digit (789).\nAlong purple Renban lines the digits form a non-repeating consecutive set in any order." ### Visual Elements - killer cage (value 9): r1c8 r1c9 - killer cage (value 9): r6c1 r6c2 - killer cage (value 7): r8c4 r9c4 - line, color: lightgray, coords: r1c5 r1c4 r2c3 r3c3 - line, color: violet, coords: r6c5 r6c4 r5c3 r4c3 - line, color: violet, coords: r3c9 r4c9 r5c8 r5c7 - line, color: violet, coords: r8c6 r8c7 r9c6 r9c7 - line, color: navajowhite, coords: r2c7 r3c7 r3c8 - line, color: navajowhite, coords: r7c7 r7c8 r8c8 r8c9 r9c9 - line, color: navajowhite, coords: r2c5 r3c6 r4c6 r5c5 r4c4 r3c4 r2c5 - shape: circle, color: lightgray, location: r1c5 - text: X, shape: circle, color: white, location: between r1c2 and r1c3 - text: V, shape: circle, color: white, location: between r1c1 and r1c2 - text: X, shape: circle, color: white, location: between r8c3 and r9c3 - text: X, shape: circle, color: white, location: between r6c8 and r6c9 - text: X, shape: circle, color: white, location: between r7c1 and r8c1
sxsm_99Sneaky_f14a2e4e7e2b47ab724b3ce899e8c0fb
Zeeta-Moth
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nDigits separated by a V sum to 5. Digits separated by an X sum to 10.\nDigits along thermometers must increase from the bulb end to the tip.\nDigits in cages sum to the small number printed in the corner.\nEvery string of three adjacent digits along a peach Entropic line must contain one low digit (123) one medium digit (456) and one high digit (789).\nAlong purple Renban lines the digits form a non-repeating consecutive set in any order."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4 1 9 5 2 7 8 3 6 3 2 7 8 4 6 9 5 1 5 6 8 9 1 3 4 2 7 6 7 5 2 3 8 1 4 9 9 4 3 7 5 1 6 8 2 1 8 2 4 6 9 5 7 3 8 5 1 3 9 2 7 6 4 2 9 4 6 7 5 3 1 8 7 3 6 1 8 4 2 9 5
9
9
- killer cage (value 9): r1c8 r1c9 - killer cage (value 9): r6c1 r6c2 - killer cage (value 7): r8c4 r9c4 - line, color: lightgray, coords: r1c5 r1c4 r2c3 r3c3 - line, color: violet, coords: r6c5 r6c4 r5c3 r4c3 - line, color: violet, coords: r3c9 r4c9 r5c8 r5c7 - line, color: violet, coords: r8c6 r8c7 r9c6 r9c7 - line, color: navajowhite, coords: r2c7 r3c7 r3c8 - line, color: navajowhite, coords: r7c7 r7c8 r8c8 r8c9 r9c9 - line, color: navajowhite, coords: r2c5 r3c6 r4c6 r5c5 r4c4 r3c4 r2c5 - shape: circle, color: lightgray, location: r1c5 - text: X, shape: circle, color: white, location: between r1c2 and r1c3 - text: V, shape: circle, color: white, location: between r1c1 and r1c2 - text: X, shape: circle, color: white, location: between r8c3 and r9c3 - text: X, shape: circle, color: white, location: between r6c8 and r6c9 - text: X, shape: circle, color: white, location: between r7c1 and r8c1
sclN4IglgJiBcIM4A84FsD6BOdBlAdgUwEMBrAT1QDMBGAFgICY9q8B2POgI2uYPebuvYBmAMZ4AHJnHCADOXYgANCGR4ALgQgF1MUHAD2AVwBOomCCwGIeogYAEAWWJ4jtgG51p/AHTTqXuoIAtOSC6BDSzMKKIKpgqgA2eGYAWnhqBIH2eqoAFtEEBrl6RmaYAKS4hKTRRgaJcGYAcsXIBPG2cJbWdrX1tgQADgPxJF62ADo4ACJgAOZxcB14AwRGWngQtuwk/bYAah0GyLaqerYArGMz86qLcMur65vb/Ti2ABqHx6e2lNJek2uC368T0OFmJxyzmQehUqmci2QBjgqlsYBwwiMhHutnIRlhkLwWzq7FseBwmx+uSJsQGAOmc2B6NswgIszwdyOJzO1I6rXi7RwR3YzlsAyM6Phm2ZvOExXwRnpAFFXM4diiJeDbHpyJCsUSNAArAiiHCoiCM24gsEQghiwjCHK2JVm/EDMDCWzxdFEpEollg9TMsFE0EAd1sFputgAFJQAgBKbX4WwqC1cqNxWPUc4ANiTBApyaJOTmTszqJjzAkCfpAEFQVqBsZhkSAErk9iFr0+xa8iuLcgtXY4MGBLEDQixLVynD3YSFMCqpao5mFnbFCDOLzRfTxRdgszUSjoc50auCXOCc9iai50+UPMSSiCajn3PMM+CMQ0TDUQSfpQuZiHQlAgXep7MN+5wvug75vugd6foIYFQbmYEIecIAAL5KKy7INNAADaoCiAKhFEUR0gKMwAC6ChUQoYi0fRICuG0BhJNA6BKAYOBgAAjpxMCqLUeC4aReDkTAlHnAo0j0URcmUCxSjsfuXE8SAfGCcJ0CiZxEkgGR8QUURzAKIIiliJZqlsRxXEWdp/FCVxBniaxJlYGAABeXHnNRxlSaZMkkRJ4UKMAEVRZF0XYYpMWJXFsUpUlCXJUlqVxelWW5Yl9kaTAlDZQxmVlRl4U5eVeUlWFNX1WlpUVQ1lVNS1LV2Vi8xgmZjEKQx1EqQNCh0IplDyWNChDUR42jQxdATfNU2KQto2KYxVnDdQinUeck2bTNCjbQx417UtB0LcdRELXt63UbmO00Y9zEnQoD2vXRr0vddb0rU9S3MetgiLURwPTcDc1EdQIPQ9N0OQ3J/VKctDFyWtDGg7ZDHA1dwNnVDWME1d0P43JB1yVdcm3RjwPvZjn2Y990N09DDPQ99cl03JDNyYDGO5iDAvTQLkMWUjFnTRZkM2UjNnTTZ6OUQLB0C1dAv4xZB0WVdFn4zZB02VdNnU0rv0MQLDMC99Fl0xZDMWd9Nl0zZDM2YDrHevgFGgGGBAkAACnokpmf8FNePjoeWeHY3hyN0fzbHdDR55eigiUsAAMTCNn5DRLkHpEF7hEnkZvsB0HZpmZcYek7Hgjx1DicN/XaPJ3hqfFGYGfkNIH49+QudKPnwiFxyxfSKXfuB8HoVJ7zzex2IDd+Nzy+x7mbfGR36cgN3vfMP3g8xKWI9F0VE+RSAZfT5XoXMLH1eKffnMN0vVOv+vm9ymnXc933shH2HqPOA49J7lxnsRGan98Zzzeg3WBz87Lf07pncgrJAEn2AaAy+18K63FChvF++NCE0Qbs/UhGtF4f3ntTLeP9UHoLzpgs+0A/hgJvvgyBlBY4rxWg/Be798YryOgIqOMC64N24TXJB29f6MKHswse594pKD0KqIw8Q/beyCmaZwMlI5zSvpAXIMB/iCDkiAKEZZVCmK8OYpQGprBcV3tIVxbi854AQDY2A7xohDjNN5PyRVoYgHxHxLcUB9JiSUF2EeswwkUgAMKyMzgAMXSRknCl9TTwnTlRWOQ0jEQBMdAMxFirGzByN4spDjRJOK7m49xQ9PHeJAHsPxgZAlcRoEoBJESRLRJALEog8TDBJJSbvDJmSjI5L0cRBW8ciklJqZYvA1jbH2PgHUogziM6NNcR4rxZhfFKH8aoLpwTeljP6VEziMSTQjL6ck+hkypmpKyZJXReTq5MVYmGYxeRSl2PKWsyp1TgW1PxDshp+zDmtJOSAM5FzWEhL6RsAZdyhkPNGeE55KDXlTI+To3JMkxaLP+cUwFKyKlVI2RYxx0LM77OkHC45HSAm+W6ai656Lbl4HuXEp5EyM5vPeSo5yW4NFaJkp8klxFI68KUBS5ZXgbKrPWUCtVDLnGjnwDUHlkT3ICsedcvFO8s45xwrRbCQA==
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_21
.................................................................................
847925613695413728321678549736892154954761832218354967589236471463187295172549386
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Identify two 'indexer' cells in each row, column, and box, with one indexing in the row and the other indexing in the column. The digit in an indexer cell indicates the position of the other indexer cell in its row or column. Positions are counted left to right in rows and top to bottom in columns. The value of an indexer cell is the digit in the cell it indexes. For all other cells, their value is their own digit. All lines are region-subset lines: ie 3x3 box boundaries divide each line into segments. For any pair of segments on the same line, the values on one of those segments must all appear on the other segment. Examples: i) If () represents an indexer cell, then 12(6)34(7)598 would be a valid row of digits, because there are exactly two indexer cells, and one of the cells indexes the other: the (7) is in position 6, and the other indexer cell contains a 6. The value of the (6) cell would be 7, because that is the digit in the cell it indexes. Given that this is a row, we would also know that r7c6 must be an indexer cell, because the (7) cell indexes it. ii) A region-subset line could contain the values 189-8-98-918, where a dash represents a box boundary. This is valid because (8) is a subset of (89) and (189), (89) is a subset of (189), and (189) is a subset of itself." ### Visual Elements - line, color: mediumspringgreen, coords: r4c5 r4c4 r4c3 r5c3 r6c3 r5c4 r5c5 r6c6 - line, color: mediumspringgreen, coords: r4c9 r4c8 r4c7 r3c6 r2c5 r1c4 r1c3 r1c2 r2c3 r3c3 r2c4 - line, color: mediumspringgreen, coords: r2c6 r2c7 r2c8 r2c9 - line, color: mediumspringgreen, coords: r3c1 r3c2 r4c2 r5c2 r6c2 - line, color: mediumspringgreen, coords: r8c1 r9c2 r8c3 r9c4 - line, color: mediumspringgreen, coords: r6c4 r7c5 r7c6 r6c7 r5c8 r6c8 r7c9
sxsm_IcyFruit_d8ec93ccb3aac21cd8976c65908d5246
Taiga
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Identify two 'indexer' cells in each row, column, and box, with one indexing in the row and the other indexing in the column. The digit in an indexer cell indicates the position of the other indexer cell in its row or column. Positions are counted left to right in rows and top to bottom in columns. The value of an indexer cell is the digit in the cell it indexes. For all other cells, their value is their own digit. All lines are region-subset lines: ie 3x3 box boundaries divide each line into segments. For any pair of segments on the same line, the values on one of those segments must all appear on the other segment. Examples: i) If () represents an indexer cell, then 12(6)34(7)598 would be a valid row of digits, because there are exactly two indexer cells, and one of the cells indexes the other: the (7) is in position 6, and the other indexer cell contains a 6. The value of the (6) cell would be 7, because that is the digit in the cell it indexes. Given that this is a row, we would also know that r7c6 must be an indexer cell, because the (7) cell indexes it. ii) A region-subset line could contain the values 189-8-98-918, where a dash represents a box boundary. This is valid because (8) is a subset of (89) and (189), (89) is a subset of (189), and (189) is a subset of itself."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8 4 7 9 2 5 6 1 3 6 9 5 4 1 3 7 2 8 3 2 1 6 7 8 5 4 9 7 3 6 8 9 2 1 5 4 9 5 4 7 6 1 8 3 2 2 1 8 3 5 4 9 6 7 5 8 9 2 3 6 4 7 1 4 6 3 1 8 7 2 9 5 1 7 2 5 4 9 3 8 6
9
9
- line, color: mediumspringgreen, coords: r4c5 r4c4 r4c3 r5c3 r6c3 r5c4 r5c5 r6c6 - line, color: mediumspringgreen, coords: r4c9 r4c8 r4c7 r3c6 r2c5 r1c4 r1c3 r1c2 r2c3 r3c3 r2c4 - line, color: mediumspringgreen, coords: r2c6 r2c7 r2c8 r2c9 - line, color: mediumspringgreen, coords: r3c1 r3c2 r4c2 r5c2 r6c2 - line, color: mediumspringgreen, coords: r8c1 r9c2 r8c3 r9c4 - line, color: mediumspringgreen, coords: r6c4 r7c5 r7c6 r6c7 r5c8 r6c8 r7c9
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_22
.................................................................................
385416297142397685976285341294578163758163924613942758839724516561839472427651839
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "I\u2019m just so terrible with numbers! Whenever I try to write anything down, it always ends up full of obvious numerical errors. That simply won\u2019t do in a sudoku, so I decided that I needed help. I shared this puzzle with my very punctilious friends, who made sure that all of the clues were correct. However, they weren\u2019t able to say the same about the rules. After reading them very carefully, they assure me that I have, somehow, at least managed to stay consistent in the amount of my mistakes. That, along with normal sudoku rules should be enough information for you to solve it. (Make sure you scroll to see them all, unlike one of the testers who was left utterly confused). Here they are:\n\nCells separated by a V contain digits that add up to 5, and those separated by an X contain digits that add up to 7.\n\nThe numbers outside the grid are Sandwich Sums, which indicate the sum of the digits between 8 and 9 in the corresponding row or column.\n\nDigits inside Killer Cages cannot repeat, and must add up to the total indicated in the upper left corner of the cage, or perhaps the total minus one (I can\u2019t be sure, I\u2019m terrible with numbers! But I\u2019m consistent, so whichever it is, it\u2019s the same for all four cages).\n\nThree adjacent digits on a German whisper line must have a difference of at least 5.\n\nAll rules contain numerical mistakes, exactly two per rule." ### Visual Elements - killer cage (value 12): r6c2 r7c2 r8c2 r9c2 - killer cage (value 10): r8c8 r9c8 - line, color: lightgreen, coords: r2c1 r1c2 r2c3 r3c2 r4c1 r4c2 r4c3 - line, color: lightgreen, coords: r2c4 r2c5 - line, color: lightgreen, coords: r2c6 r1c7 r2c8 r3c7 r4c6 r4c7 r4c8 - line, color: lightgreen, coords: r6c7 r5c8 r6c9 r7c8 r8c8 - line, color: lightgreen, coords: r5c5 r5c4 r5c3 r6c3 r6c4 r7c5 r8c4 r8c3 - line, color: lightgreen, coords: r6c1 r6c2 - line, color: lightgreen, coords: r7c1 r7c2 - shape: circle, color: lightgreen, location: between r1c4 and r1c5 - shape: circle, color: lightgreen, location: between r3c4 and r3c5 - shape: circle, color: lightgreen, location: between r8c8 and r9c8 - text: 0, shape: circle, location: r0c7 - text: 35, shape: circle, location: r3c0 - text: 8, shape: circle, location: r1c0 - text: 18, shape: circle, location: r7c0 - text: 0, shape: circle, location: r0c1 - text: V, shape: circle, color: white, location: between r1c4 and r1c5 - text: X, shape: circle, color: white, location: between r3c4 and r3c5 - text: X, shape: circle, color: white, location: between r8c8 and r9c8
sxsm_Lorenafriends_d4dcfd98afd259e8638b2ea58a87368a
Dyscalculia
"I\u2019m just so terrible with numbers! Whenever I try to write anything down, it always ends up full of obvious numerical errors. That simply won\u2019t do in a sudoku, so I decided that I needed help. I shared this puzzle with my very punctilious friends, who made sure that all of the clues were correct. However, they weren\u2019t able to say the same about the rules. After reading them very carefully, they assure me that I have, somehow, at least managed to stay consistent in the amount of my mistakes. That, along with normal sudoku rules should be enough information for you to solve it. (Make sure you scroll to see them all, unlike one of the testers who was left utterly confused). Here they are:\n\nCells separated by a V contain digits that add up to 5, and those separated by an X contain digits that add up to 7.\n\nThe numbers outside the grid are Sandwich Sums, which indicate the sum of the digits between 8 and 9 in the corresponding row or column.\n\nDigits inside Killer Cages cannot repeat, and must add up to the total indicated in the upper left corner of the cage, or perhaps the total minus one (I can\u2019t be sure, I\u2019m terrible with numbers! But I\u2019m consistent, so whichever it is, it\u2019s the same for all four cages).\n\nThree adjacent digits on a German whisper line must have a difference of at least 5.\n\nAll rules contain numerical mistakes, exactly two per rule."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 8 5 4 1 6 2 9 7 1 4 2 3 9 7 6 8 5 9 7 6 2 8 5 3 4 1 2 9 4 5 7 8 1 6 3 7 5 8 1 6 3 9 2 4 6 1 3 9 4 2 7 5 8 8 3 9 7 2 4 5 1 6 5 6 1 8 3 9 4 7 2 4 2 7 6 5 1 8 3 9
9
9
- killer cage (value 12): r6c2 r7c2 r8c2 r9c2 - killer cage (value 10): r8c8 r9c8 - line, color: lightgreen, coords: r2c1 r1c2 r2c3 r3c2 r4c1 r4c2 r4c3 - line, color: lightgreen, coords: r2c4 r2c5 - line, color: lightgreen, coords: r2c6 r1c7 r2c8 r3c7 r4c6 r4c7 r4c8 - line, color: lightgreen, coords: r6c7 r5c8 r6c9 r7c8 r8c8 - line, color: lightgreen, coords: r5c5 r5c4 r5c3 r6c3 r6c4 r7c5 r8c4 r8c3 - line, color: lightgreen, coords: r6c1 r6c2 - line, color: lightgreen, coords: r7c1 r7c2 - shape: circle, color: lightgreen, location: between r1c4 and r1c5 - shape: circle, color: lightgreen, location: between r3c4 and r3c5 - shape: circle, color: lightgreen, location: between r8c8 and r9c8 - text: 0, shape: circle, location: r0c7 - text: 35, shape: circle, location: r3c0 - text: 8, shape: circle, location: r1c0 - text: 18, shape: circle, location: r7c0 - text: 0, shape: circle, location: r0c1 - text: V, shape: circle, color: white, location: between r1c4 and r1c5 - text: X, shape: circle, color: white, location: between r3c4 and r3c5 - text: X, shape: circle, color: white, location: between r8c8 and r9c8
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_23
.................................................................................
854369172976251834123478956419582367568937421237146598785694213691823745342715689
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Normal sudoku rules apply; fill the grid with the digits 1-9 so that digits don't repeat in any row, column, and marked 3x3 box.\nTwo cells adjacent along a red line must contain one even digit and one odd digit.\nTwo cells connected by a white dot contain consecutive digits.\nTwo cells connected by a black dot contain digits where one is double the other." ### Visual Elements - shape: circle, color: white (stroke color: black), location: between r4c8 and r4c9 - shape: circle, color: white (stroke color: black), location: between r5c8 and r5c9 - shape: circle, color: white (stroke color: black), location: between r6c8 and r6c9 - shape: circle, color: white (stroke color: black), location: between r5c1 and r5c2 - shape: circle, color: white (stroke color: black), location: between r8c3 and r9c3 - shape: circle, color: white (stroke color: black), location: between r7c1 and r8c1 - shape: circle, color: white (stroke color: black), location: between r1c1 and r2c1 - shape: circle, color: white (stroke color: black), location: between r7c7 and r7c8 - shape: circle, color: white (stroke color: black), location: between r7c1 and r7c2 - shape: circle, color: white (stroke color: black), location: between r9c8 and r9c9 - shape: circle, color: white (stroke color: black), location: between r8c5 and r8c6 - shape: circle, color: white (stroke color: black), location: between r1c4 and r2c4 - shape: circle, color: white (stroke color: black), location: between r7c6 and r8c6 - shape: circle, color: white (stroke color: black), location: between r2c7 and r3c7 - shape: circle, color: white (stroke color: black), location: between r1c2 and r1c3 - shape: circle, color: white (stroke color: black), location: between r1c5 and r2c5 - shape: circle, color: black, location: between r3c2 and r4c2 - shape: circle, color: black, location: between r4c7 and r4c8 - shape: circle, color: black, location: between r2c3 and r3c3 - shape: circle, color: black, location: between r9c2 and r9c3 - shape: circle, color: black, location: between r8c8 and r9c8 - line, color: red, coords: r3c2, r3c3, r3c4, r3c5, r3c6, r4c7, r5c8, r6c7, r7c6, r7c5, r7c4, r7c3, r7c2 - line, color: red, coords: r4c1, r4c2, r5c3, r6c4, r7c4 - line, color: red, coords: r6c1, r6c2, r5c3, r4c4, r3c5
sxsm_MartySears_580c6fdbbba9bfb0e71ae19044f02d4c
Parity Fish
"Normal sudoku rules apply; fill the grid with the digits 1-9 so that digits don't repeat in any row, column, and marked 3x3 box.\nTwo cells adjacent along a red line must contain one even digit and one odd digit.\nTwo cells connected by a white dot contain consecutive digits.\nTwo cells connected by a black dot contain digits where one is double the other."
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8 5 4 3 6 9 1 7 2 9 7 6 2 5 1 8 3 4 1 2 3 4 7 8 9 5 6 4 1 9 5 8 2 3 6 7 5 6 8 9 3 7 4 2 1 2 3 7 1 4 6 5 9 8 7 8 5 6 9 4 2 1 3 6 9 1 8 2 3 7 4 5 3 4 2 7 1 5 6 8 9
9
9
- shape: circle, color: white (stroke color: black), location: between r4c8 and r4c9 - shape: circle, color: white (stroke color: black), location: between r5c8 and r5c9 - shape: circle, color: white (stroke color: black), location: between r6c8 and r6c9 - shape: circle, color: white (stroke color: black), location: between r5c1 and r5c2 - shape: circle, color: white (stroke color: black), location: between r8c3 and r9c3 - shape: circle, color: white (stroke color: black), location: between r7c1 and r8c1 - shape: circle, color: white (stroke color: black), location: between r1c1 and r2c1 - shape: circle, color: white (stroke color: black), location: between r7c7 and r7c8 - shape: circle, color: white (stroke color: black), location: between r7c1 and r7c2 - shape: circle, color: white (stroke color: black), location: between r9c8 and r9c9 - shape: circle, color: white (stroke color: black), location: between r8c5 and r8c6 - shape: circle, color: white (stroke color: black), location: between r1c4 and r2c4 - shape: circle, color: white (stroke color: black), location: between r7c6 and r8c6 - shape: circle, color: white (stroke color: black), location: between r2c7 and r3c7 - shape: circle, color: white (stroke color: black), location: between r1c2 and r1c3 - shape: circle, color: white (stroke color: black), location: between r1c5 and r2c5 - shape: circle, color: black, location: between r3c2 and r4c2 - shape: circle, color: black, location: between r4c7 and r4c8 - shape: circle, color: black, location: between r2c3 and r3c3 - shape: circle, color: black, location: between r9c2 and r9c3 - shape: circle, color: black, location: between r8c8 and r9c8 - line, color: red, coords: r3c2, r3c3, r3c4, r3c5, r3c6, r4c7, r5c8, r6c7, r7c6, r7c5, r7c4, r7c3, r7c2 - line, color: red, coords: r4c1, r4c2, r5c3, r6c4, r7c4 - line, color: red, coords: r6c1, r6c2, r5c3, r4c4, r3c5
sclN4SwJgXA5AzgHjAtgfQLIEMBOAXAngZQFMsZkBWADgAYBjANgDMwAjV9ATmYeasIHYAjOkID2VACziGVAExhxNKABpEhbOjDp1EYDAD2AV0w1C0fAbB6A1gYAEGK4Uy2AbjNlkAdLM8zxAWhoaBjJ0CjpldANsAAs9TGgMHFxbIhJlTAMAG0IYaAA5eMR0LNsYC2s7TJyYW3QAB3qs3ABuWwYQLNLYwlsAc0xwWwB3EFjbHtswED6x2oF/djK9CZitKZm5qb0AOwAdKGxbTEJ64iOQHbqdlMw9YaVbGj0sg0Qdx/QdsFtizEcfgBmOCA2zMPRwTx7HYAFWGKxMXVqGgAVugTDsjiVdn06sdCD8spdeogDDAjs9MehLrZdr1CC5CFdprMsd9aTtenowD8WWMobD4U9CEinrtOTRsASwSl0CMYmNepYKbt1DTKTBCDRoiBGRtWTABXCESKsrVKRKpT9mLKwVl0VZtiqqTS+dhasMYk4uZzbCBapYDMwcqsuT1MJ5lPpXtgQLtoBQyOJAXR2AI+DJ2Hw6DIyAIKIDxAIZIW+BR2GQ6EWKxQS3Q+JXy4C+OIZMXmwJxHQyOwKGXK+xWwIU2na83xGRCzJBI32MpmLNin1TFAYthsPU8gB6LcgTwgRB9IyeZ6ILc7QEgADy2HE+U8KLOfXni/Qy709XRY1wEAESmw0AAApYN+tgAGL+jEUAAL5KCYEAANoIUoKGoShAC6SjIWhqGYdhOFKHhBEYVhxGEaRxFEZRFEEVRtGYSciFIVQShUHhLECOxSgyHhf5sVhf6cQJ3F4TIrGiUoQkIWJPF4QhLGAlx4hcWQvFKIpwnKcJqlYWJGnSUoWkGapcksXQXF8FxFBqeZwmWcJ1m6UotkGfZBnWXJgLiVhXlSV5PFYeI3kIUFUlBQFCFkMFUVSVFslYQhXn6V5RleTpIXqXhQVGUF6VRfpUVGVFJkJV5LleW5XmORlLlBW5QXVVFLlRW5UUeQldDBZ1UmdRFfDBf1Un9RFFDBaNUmjfFSGdfpnVGZ16X9fp/VGf16Wjfpo1GaNJXTc5eGdW5nXVf1Ln9W5/XVaNLmjW5o0eZheiIcAkqIYCnhtZhwwQFQniFkoMQ/X9QWxL+vijVK0DKDQEAAMQsQk2BwTIcNgXBAhw1QsEvQBIUfUojnfb9/2A8TIOAwI4P/iu0OY0oiPI6j6OY9jr2RfjhNAyTXPk2DMgQzTcF0wzNAo7DaM0Bj8Os7j4j40JRPAwDPP/hTVOQ1AtPw/TEBI6LTOSyzSg44hk0fV9Kuk0roOU/z1NQ0L2si2LEtS1jxts/1v06Yr3Nk6rfMCw7MNO7rjPi8z0se7jfHm0ovtBVb/02+rgshwjYf6xHhtRybCF0Pj9kJ8r/sp3bGtaxnesu5H7t5wXMUW/7Se87bQea47Vfh67Rt5xQHNN0rLcB239sd+nOvVwbbsy4hfD4z7lsq2X7eV5P3e17PCF/u9i/N8vavl2nwuZzXOd157SheHvQ8H4HY9r870+92zYkN4PfvW4fq+d+vWc97nNm3sRLxyXqXb+D9f5P2zjPaOiE/xyxvp/ZOECK5QNPs/QBuNfJx19l5JOXk0EhzRtAi+2DC4f3wVzQhx8I6kK3jJXB1CS5/RocHJm9C4EIX7nFShLDARsPHhwjBWDTZKHnkgqhxNBFaxISIrG6FoJAA
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_24
.................................................................................
652718349789243651341659728516397284297481536834526197165934872928175463473862915
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nIdentical digits cannot be a knight's move apart.\n\nDigits along an arrow sum to the digit in the corresponding circle." ### Visual Elements - arrow, color: darkgray, coords (base to tip): r7c3 r6c2 r5c1 - arrow, color: darkgray, coords (base to tip): r4c3 r4c2 r4c1 - arrow, color: darkgray, coords (base to tip): r4c3 r5c4 r6c5 - arrow, color: darkgray, coords (base to tip): r4c6 r5c6 r6c6 - arrow, color: darkgray, coords (base to tip): r4c6 r3c5 r2c4 - arrow, color: darkgray, coords (base to tip): r1c6 r1c5 r1c4 - arrow, color: darkgray, coords (base to tip): r1c6 r2c7 r3c8 - arrow, color: darkgray, coords (base to tip): r1c9 r2c9 r3c9 - arrow, color: darkgray, coords (base to tip): r7c8 r8c8 r9c8 - arrow, color: darkgray, coords (base to tip): r9c4 r8c4 r8c5 - shape: circle, color: white (stroke color: darkgray), location: r7c3 - shape: circle, color: white (stroke color: darkgray), location: r4c3 - shape: circle, color: white (stroke color: darkgray), location: r4c6 - shape: circle, color: white (stroke color: darkgray), location: r1c6 - shape: circle, color: white (stroke color: darkgray), location: r1c9 - shape: circle, color: white (stroke color: darkgray), location: r7c8 - shape: circle, color: white (stroke color: darkgray), location: r9c4 - global: anti-knight
sxsm_FlorianWortmann_ee3c11d3f90fa0f9110d8b102cfaa3da
Ascension
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nIdentical digits cannot be a knight's move apart.\n\nDigits along an arrow sum to the digit in the corresponding circle."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6 5 2 7 1 8 3 4 9 7 8 9 2 4 3 6 5 1 3 4 1 6 5 9 7 2 8 5 1 6 3 9 7 2 8 4 2 9 7 4 8 1 5 3 6 8 3 4 5 2 6 1 9 7 1 6 5 9 3 4 8 7 2 9 2 8 1 7 5 4 6 3 4 7 3 8 6 2 9 1 5
9
9
- arrow, color: darkgray, coords (base to tip): r7c3 r6c2 r5c1 - arrow, color: darkgray, coords (base to tip): r4c3 r4c2 r4c1 - arrow, color: darkgray, coords (base to tip): r4c3 r5c4 r6c5 - arrow, color: darkgray, coords (base to tip): r4c6 r5c6 r6c6 - arrow, color: darkgray, coords (base to tip): r4c6 r3c5 r2c4 - arrow, color: darkgray, coords (base to tip): r1c6 r1c5 r1c4 - arrow, color: darkgray, coords (base to tip): r1c6 r2c7 r3c8 - arrow, color: darkgray, coords (base to tip): r1c9 r2c9 r3c9 - arrow, color: darkgray, coords (base to tip): r7c8 r8c8 r9c8 - arrow, color: darkgray, coords (base to tip): r9c4 r8c4 r8c5 - shape: circle, color: white (stroke color: darkgray), location: r7c3 - shape: circle, color: white (stroke color: darkgray), location: r4c3 - shape: circle, color: white (stroke color: darkgray), location: r4c6 - shape: circle, color: white (stroke color: darkgray), location: r1c6 - shape: circle, color: white (stroke color: darkgray), location: r1c9 - shape: circle, color: white (stroke color: darkgray), location: r7c8 - shape: circle, color: white (stroke color: darkgray), location: r9c4 - global: anti-knight
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_25
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124697835859321746736485219372149568495268173681573492263754981917832654548916327
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nEvery clue in the puzzle is wrogn. A clue is wrogn if it is not completely correct.\n\nKiller Cages: Digits in a cage cannot repeat and sum to the digit in the top left corner of the cage.\n\nLook-And-Say Cages: Cages are also, independently, look-and-say. The number in the top left corner also says how many of each digit are in the cage. E.g. there is exactly \"one 1\" in the cages in box 2.\n\nArrows: A digit in a circle with an arrow attached is equal to the sum of the digits on the attached arrow. The different colours don't mean anything different.\n\nRenban: digits on a purple renban line form a non-repeating set of consecutive digits, in any order.\n\nNabner: The set of digits on an orange nabner line must not repeat and no two digits on the line may be consecutive.\n\nGerman whisper: Adjacent digits along a green german whisper line must have a difference of at least 5\n\nKropki dots: Digits separated by a white kropki dot are consecutive, digits separated by a black kropki dot are in a 1:2 ratio.\n\nThermos: Digits along a thermometer must always increase from the bulb to the tip.\n\nThe clues outside the grid are all independently Numbered Rooms, Sandwich and Skyscraper clues.\n\nNumbered Rooms: A clue outside the grid indicates the digit which has to be placed in the Nth cell in the corresponding direction, where N is the digit placed in the first cell in that direction.\n\nSandwich: The numbers outside the grid give the sum of the digits between the 1 and the 9 in that row or column.\n\nSkyscrapers: Digits in the grid represent skyscrapers, with their values corresponding to their heights. Taller skyscrapers obscure all shorter skyscrapers behind them. Clues outside the grid indicate the number of skyscrapers that can be seen in that row/column, from the line of sight of the clue." ### Visual Elements - killer cage (value 11): r1c5 r1c6 - killer cage (value 11): r3c5 r3c6 - killer cage (value 11): r3c2 r4c2 - killer cage (value 37): r4c1 r5c1 r6c1 r7c1 r8c1 r9c1 - killer cage (value 10): r7c2 r8c2 - killer cage (value 18): r8c5 r8c6 r9c5 r9c6 - killer cage (value 12): r8c7 r8c8 r8c9 - killer cage (value 17): r7c3 r7c4 r8c3 r9c3 - killer cage (value 29): r3c7 r3c8 r3c9 r4c7 r4c8 r4c9 - killer cage (value 12): r1c1 - killer cage (value 12): r2c1 r2c2 - killer cage (value 12): r3c1 - killer cage (value 26091998): r5c7 r5c8 r5c9 r6c7 r6c8 r6c9 - line, color: fuchsia, coords: r4c1 r5c1 r6c1 r7c1 r8c1 r9c1 - line, color: fuchsia, coords: r4c6 r5c6 r6c6 - line, color: goldenrod, coords: r1c1 r2c1 r3c1 - line, color: goldenrod, coords: r6c3 r6c2 r5c2 - line, color: goldenrod, coords: r6c7 r5c7 r4c7 - line, color: lightgray, coords: r3c2 r3c3 - line, color: lightgray, coords: r1c2 r1c3 - line, color: lightgray, coords: r7c5 r7c6 r7c7 - line, color: lightgray, coords: r1c5 r1c6 - line, color: lightgray, coords: r3c5 r3c6 - line, color: lime, coords: r3c1 r2c2 - line, color: lime, coords: r1c1 r2c2 - line, color: lime, coords: r8c3 r9c3 - line, color: lime, coords: r7c4 r7c3 - line, color: lime, coords: r3c7 r3c8 r3c9 - line, color: lime, coords: r9c8 r9c7 - shape: circle, color: lightgray, location: r3c3 - shape: circle, color: lightgray, location: r1c3 - shape: circle, color: lightgray, location: r7c5 - shape: circle, color: lightgray, location: r1c5 - shape: circle, color: lightgray, location: r3c5 - text: 1, shape: circle, location: r0c2 - text: 1, shape: circle, location: r2c0 - text: 6, shape: circle, location: r10c3 - text: 8, shape: circle, location: r0c3 - text: 9, shape: circle, location: r10c2 - text: 5, shape: circle, location: r7c0 - text: 35, shape: circle, location: r0c1 - text: 7, shape: circle, location: r10c1 - text: 0, shape: circle, location: r7c10 - text: 4, shape: circle, location: r10c9 - text: 3, shape: circle, location: r8c10 - text: 7, shape: circle, location: r0c9 - text: 8, shape: circle, location: r10c8 - text: 4, shape: circle, location: r10c5 - text: 5, shape: circle, location: r5c0 - shape: circle, color: lightpink (stroke color: indianred), location: r9c2 - shape: circle, color: gainsboro (stroke color: black), location: r6c4 - shape: circle, color: gainsboro (stroke color: black), location: r4c4 - shape: circle, color: gainsboro (stroke color: black), location: r2c3 - shape: circle, color: gainsboro (stroke color: black), location: r6c8 - shape: circle, color: gainsboro (stroke color: black), location: r7c8 - shape: circle, color: gainsboro (stroke color: black), location: r1c8 - shape: circle, color: lightpink (stroke color: indianred), location: r9c2 - shape: circle, color: lightpink (stroke color: indianred), location: r3c4 - shape: circle, color: white (stroke color: black), location: between r3c2 and r3c3 - shape: circle, color: white (stroke color: black), location: between r1c2 and r1c3 - shape: circle, color: white (stroke color: black), location: between r1c2 and r2c2 - shape: circle, color: white (stroke color: black), location: between r2c2 and r2c3 - shape: circle, color: white (stroke color: black), location: between r2c2 and r3c2 - shape: circle, color: white (stroke color: black), location: between r2c1 and r2c2 - shape: circle, color: white (stroke color: black), location: between r9c2 and r9c3 - shape: circle, color: white (stroke color: black), location: between r3c5 and r3c6 - shape: circle, color: white (stroke color: black), location: between r1c5 and r1c6 - shape: circle, color: white (stroke color: black), location: between r7c8 and r7c9 - shape: circle, color: white (stroke color: black), location: between r7c6 and r8c6 - shape: circle, color: white (stroke color: black), location: between r2c6 and r2c7 - shape: circle, color: black, location: between r3c2 and r4c2 - shape: circle, color: black, location: between r5c3 and r6c3 - shape: circle, color: black, location: between r9c1 and r9c2 - shape: circle, color: black, location: between r8c1 and r8c2 - shape: circle, color: black, location: between r7c1 and r7c2 - shape: circle, color: black, location: between r7c5 and r8c5 - shape: circle, color: black, location: between r1c8 and r1c9 - shape: circle, color: black, location: between r1c8 and r2c8 - shape: circle, color: black, location: between r2c8 and r2c9 - shape: circle, color: black, location: between r1c9 and r2c9
sxsm_Lake_6c0855230e2b4e897da9f9f4f275adf6
Matty Didn't Call You Back Because He Had The Wrogn Number
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nEvery clue in the puzzle is wrogn. A clue is wrogn if it is not completely correct.\n\nKiller Cages: Digits in a cage cannot repeat and sum to the digit in the top left corner of the cage.\n\nLook-And-Say Cages: Cages are also, independently, look-and-say. The number in the top left corner also says how many of each digit are in the cage. E.g. there is exactly \"one 1\" in the cages in box 2.\n\nArrows: A digit in a circle with an arrow attached is equal to the sum of the digits on the attached arrow. The different colours don't mean anything different.\n\nRenban: digits on a purple renban line form a non-repeating set of consecutive digits, in any order.\n\nNabner: The set of digits on an orange nabner line must not repeat and no two digits on the line may be consecutive.\n\nGerman whisper: Adjacent digits along a green german whisper line must have a difference of at least 5\n\nKropki dots: Digits separated by a white kropki dot are consecutive, digits separated by a black kropki dot are in a 1:2 ratio.\n\nThermos: Digits along a thermometer must always increase from the bulb to the tip.\n\nThe clues outside the grid are all independently Numbered Rooms, Sandwich and Skyscraper clues.\n\nNumbered Rooms: A clue outside the grid indicates the digit which has to be placed in the Nth cell in the corresponding direction, where N is the digit placed in the first cell in that direction.\n\nSandwich: The numbers outside the grid give the sum of the digits between the 1 and the 9 in that row or column.\n\nSkyscrapers: Digits in the grid represent skyscrapers, with their values corresponding to their heights. Taller skyscrapers obscure all shorter skyscrapers behind them. Clues outside the grid indicate the number of skyscrapers that can be seen in that row/column, from the line of sight of the clue."
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1 2 4 6 9 7 8 3 5 8 5 9 3 2 1 7 4 6 7 3 6 4 8 5 2 1 9 3 7 2 1 4 9 5 6 8 4 9 5 2 6 8 1 7 3 6 8 1 5 7 3 4 9 2 2 6 3 7 5 4 9 8 1 9 1 7 8 3 2 6 5 4 5 4 8 9 1 6 3 2 7
9
9
- killer cage (value 11): r1c5 r1c6 - killer cage (value 11): r3c5 r3c6 - killer cage (value 11): r3c2 r4c2 - killer cage (value 37): r4c1 r5c1 r6c1 r7c1 r8c1 r9c1 - killer cage (value 10): r7c2 r8c2 - killer cage (value 18): r8c5 r8c6 r9c5 r9c6 - killer cage (value 12): r8c7 r8c8 r8c9 - killer cage (value 17): r7c3 r7c4 r8c3 r9c3 - killer cage (value 29): r3c7 r3c8 r3c9 r4c7 r4c8 r4c9 - killer cage (value 12): r1c1 - killer cage (value 12): r2c1 r2c2 - killer cage (value 12): r3c1 - killer cage (value 26091998): r5c7 r5c8 r5c9 r6c7 r6c8 r6c9 - line, color: fuchsia, coords: r4c1 r5c1 r6c1 r7c1 r8c1 r9c1 - line, color: fuchsia, coords: r4c6 r5c6 r6c6 - line, color: goldenrod, coords: r1c1 r2c1 r3c1 - line, color: goldenrod, coords: r6c3 r6c2 r5c2 - line, color: goldenrod, coords: r6c7 r5c7 r4c7 - line, color: lightgray, coords: r3c2 r3c3 - line, color: lightgray, coords: r1c2 r1c3 - line, color: lightgray, coords: r7c5 r7c6 r7c7 - line, color: lightgray, coords: r1c5 r1c6 - line, color: lightgray, coords: r3c5 r3c6 - line, color: lime, coords: r3c1 r2c2 - line, color: lime, coords: r1c1 r2c2 - line, color: lime, coords: r8c3 r9c3 - line, color: lime, coords: r7c4 r7c3 - line, color: lime, coords: r3c7 r3c8 r3c9 - line, color: lime, coords: r9c8 r9c7 - shape: circle, color: lightgray, location: r3c3 - shape: circle, color: lightgray, location: r1c3 - shape: circle, color: lightgray, location: r7c5 - shape: circle, color: lightgray, location: r1c5 - shape: circle, color: lightgray, location: r3c5 - text: 1, shape: circle, location: r0c2 - text: 1, shape: circle, location: r2c0 - text: 6, shape: circle, location: r10c3 - text: 8, shape: circle, location: r0c3 - text: 9, shape: circle, location: r10c2 - text: 5, shape: circle, location: r7c0 - text: 35, shape: circle, location: r0c1 - text: 7, shape: circle, location: r10c1 - text: 0, shape: circle, location: r7c10 - text: 4, shape: circle, location: r10c9 - text: 3, shape: circle, location: r8c10 - text: 7, shape: circle, location: r0c9 - text: 8, shape: circle, location: r10c8 - text: 4, shape: circle, location: r10c5 - text: 5, shape: circle, location: r5c0 - shape: circle, color: lightpink (stroke color: indianred), location: r9c2 - shape: circle, color: gainsboro (stroke color: black), location: r6c4 - shape: circle, color: gainsboro (stroke color: black), location: r4c4 - shape: circle, color: gainsboro (stroke color: black), location: r2c3 - shape: circle, color: gainsboro (stroke color: black), location: r6c8 - shape: circle, color: gainsboro (stroke color: black), location: r7c8 - shape: circle, color: gainsboro (stroke color: black), location: r1c8 - shape: circle, color: lightpink (stroke color: indianred), location: r9c2 - shape: circle, color: lightpink (stroke color: indianred), location: r3c4 - shape: circle, color: white (stroke color: black), location: between r3c2 and r3c3 - shape: circle, color: white (stroke color: black), location: between r1c2 and r1c3 - shape: circle, color: white (stroke color: black), location: between r1c2 and r2c2 - shape: circle, color: white (stroke color: black), location: between r2c2 and r2c3 - shape: circle, color: white (stroke color: black), location: between r2c2 and r3c2 - shape: circle, color: white (stroke color: black), location: between r2c1 and r2c2 - shape: circle, color: white (stroke color: black), location: between r9c2 and r9c3 - shape: circle, color: white (stroke color: black), location: between r3c5 and r3c6 - shape: circle, color: white (stroke color: black), location: between r1c5 and r1c6 - shape: circle, color: white (stroke color: black), location: between r7c8 and r7c9 - shape: circle, color: white (stroke color: black), location: between r7c6 and r8c6 - shape: circle, color: white (stroke color: black), location: between r2c6 and r2c7 - shape: circle, color: black, location: between r3c2 and r4c2 - shape: circle, color: black, location: between r5c3 and r6c3 - shape: circle, color: black, location: between r9c1 and r9c2 - shape: circle, color: black, location: between r8c1 and r8c2 - shape: circle, color: black, location: between r7c1 and r7c2 - shape: circle, color: black, location: between r7c5 and r8c5 - shape: circle, color: black, location: between r1c8 and r1c9 - shape: circle, color: black, location: between r1c8 and r2c8 - shape: circle, color: black, location: between r2c8 and r2c9 - shape: circle, color: black, location: between r1c9 and r2c9
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_26
.........................6.................5...8...2...........2.................
539864172726139548184725369615278493472913856398456217947582631261347985853691724
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. In each line of four cells the sum of the first two digits equals the sum of the last two digits." ### Visual Elements - line, color: olivedrab, coords: r5c1 r5c2 r5c3 r5c4 - line, color: olivedrab, coords: r5c6 r5c7 r5c8 r5c9 - line, color: olivedrab, coords: r6c5 r7c5 r8c5 r9c5 - line, color: olivedrab, coords: r4c5 r3c5 r2c5 r1c5 - line, color: olivedrab, coords: r1c6 r2c6 r3c6 r4c6 - line, color: olivedrab, coords: r4c6 r4c7 r4c8 r4c9 - line, color: olivedrab, coords: r1c6 r2c7 r3c8 r4c9 - line, color: olivedrab, coords: r1c4 r2c4 r3c4 r4c4 - line, color: olivedrab, coords: r4c1 r4c2 r4c3 r4c4 - line, color: olivedrab, coords: r1c4 r2c3 r3c2 r4c1 - line, color: olivedrab, coords: r6c4 r7c4 r8c4 r9c4 - line, color: olivedrab, coords: r6c6 r7c6 r8c6 r9c6 - line, color: olivedrab, coords: r6c6 r6c7 r6c8 r6c9 - line, color: olivedrab, coords: r6c4 r6c3 r6c2 r6c1 - line, color: olivedrab, coords: r9c6 r8c7 r7c8 r6c9 - line, color: olivedrab, coords: r6c1 r7c2 r8c3 r9c4
sxsm_AadvandeWetering_2f8b2a4129d1adfc0a51da6fe6ef26ed
Four Triangles
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. In each line of four cells the sum of the first two digits equals the sum of the last two digits."
. . . . . . . . . . . . . . . . . . . . . . . . . 6 . . . . . . . . . . . . . . . . . 5 . . . 8 . . . 2 . . . . . . . . . . . 2 . . . . . . . . . . . . . . . . .
5 3 9 8 6 4 1 7 2 7 2 6 1 3 9 5 4 8 1 8 4 7 2 5 3 6 9 6 1 5 2 7 8 4 9 3 4 7 2 9 1 3 8 5 6 3 9 8 4 5 6 2 1 7 9 4 7 5 8 2 6 3 1 2 6 1 3 4 7 9 8 5 8 5 3 6 9 1 7 2 4
9
9
- line, color: olivedrab, coords: r5c1 r5c2 r5c3 r5c4 - line, color: olivedrab, coords: r5c6 r5c7 r5c8 r5c9 - line, color: olivedrab, coords: r6c5 r7c5 r8c5 r9c5 - line, color: olivedrab, coords: r4c5 r3c5 r2c5 r1c5 - line, color: olivedrab, coords: r1c6 r2c6 r3c6 r4c6 - line, color: olivedrab, coords: r4c6 r4c7 r4c8 r4c9 - line, color: olivedrab, coords: r1c6 r2c7 r3c8 r4c9 - line, color: olivedrab, coords: r1c4 r2c4 r3c4 r4c4 - line, color: olivedrab, coords: r4c1 r4c2 r4c3 r4c4 - line, color: olivedrab, coords: r1c4 r2c3 r3c2 r4c1 - line, color: olivedrab, coords: r6c4 r7c4 r8c4 r9c4 - line, color: olivedrab, coords: r6c6 r7c6 r8c6 r9c6 - line, color: olivedrab, coords: r6c6 r6c7 r6c8 r6c9 - line, color: olivedrab, coords: r6c4 r6c3 r6c2 r6c1 - line, color: olivedrab, coords: r9c6 r8c7 r7c8 r6c9 - line, color: olivedrab, coords: r6c1 r7c2 r8c3 r9c4
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_27
..8.....44.....2....35....6..62...4......3............8...3....2....48..5.....4..
618729534495361278723548196986257341154983627372416985849635712267194853531872469
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \\nGroups of cells not visited by the masyu loop act as killer cages.\\nThose groups and killer cages already drawn in the grid must all sum to the same total.\\n" ### Visual Elements - killer cage: r5c5 r6c5 - killer cage: r6c7
n4qHMLbtTd
Limbo
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \\nGroups of cells not visited by the masyu loop act as killer cages.\\nThose groups and killer cages already drawn in the grid must all sum to the same total.\\n"
. . 8 . . . . . 4 4 . . . . . 2 . . . . 3 5 . . . . 6 . . 6 2 . . . 4 . . . . . . 3 . . . . . . . . . . . . 8 . . . 3 . . . . 2 . . . . 4 8 . . 5 . . . . . 4 . .
6 1 8 7 2 9 5 3 4 4 9 5 3 6 1 2 7 8 7 2 3 5 4 8 1 9 6 9 8 6 2 5 7 3 4 1 1 5 4 9 8 3 6 2 7 3 7 2 4 1 6 9 8 5 8 4 9 6 3 5 7 1 2 2 6 7 1 9 4 8 5 3 5 3 1 8 7 2 4 6 9
9
9
- killer cage: r5c5 r6c5 - killer cage: r6c7
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_28
.................................................................................
276319548394825617851764923689471235413258796527936184168542379742693851935187462
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nRenban: Each purple line contains a set of non-repeating consecutive digits in any order. \nThermo: Digits along thermometers must increase from the bulb end. \nV: Adjacent cells connected with a V must sum to 5." ### Visual Elements - line, color: lightgray, coords: r5c3 r4c4 r4c5 r5c6 - line, color: lightgray, coords: r5c4 r6c5 r6c6 r5c7 - line, color: lightgray, coords: r3c9 r2c9 r1c9 - line, color: lightgray, coords: r7c1 r8c1 r9c1 - line, color: violet, coords: r8c4 r7c4 r7c5 - line, color: violet, coords: r8c5 r9c5 r9c6 - line, color: violet, coords: r7c6 r8c6 - line, color: violet, coords: r6c9 r6c8 r7c8 r8c8 r9c8 - line, color: violet, coords: r4c9 r4c8 r3c8 r2c8 r1c8 - line, color: violet, coords: r4c1 r4c2 r3c2 r2c2 r1c2 - line, color: violet, coords: r6c1 r6c2 r7c2 r8c2 r9c2 - line, color: violet, coords: r6c3 r7c3 - line, color: violet, coords: r2c4 r3c4 r3c5 - line, color: violet, coords: r1c4 r1c5 r2c5 - line, color: violet, coords: r2c6 r3c6 - shape: circle, color: lightgray, location: r5c3 - shape: circle, color: lightgray, location: r5c4 - shape: circle, color: lightgray, location: r3c9 - shape: circle, color: lightgray, location: r7c1 - text: V, shape: circle, color: white, location: between r1c1 and r2c1
sxsm_oklux_a4c0c622b56f51c34ef5017a1a6d8407
Astraeus
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nRenban: Each purple line contains a set of non-repeating consecutive digits in any order. \nThermo: Digits along thermometers must increase from the bulb end. \nV: Adjacent cells connected with a V must sum to 5."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 7 6 3 1 9 5 4 8 3 9 4 8 2 5 6 1 7 8 5 1 7 6 4 9 2 3 6 8 9 4 7 1 2 3 5 4 1 3 2 5 8 7 9 6 5 2 7 9 3 6 1 8 4 1 6 8 5 4 2 3 7 9 7 4 2 6 9 3 8 5 1 9 3 5 1 8 7 4 6 2
9
9
- line, color: lightgray, coords: r5c3 r4c4 r4c5 r5c6 - line, color: lightgray, coords: r5c4 r6c5 r6c6 r5c7 - line, color: lightgray, coords: r3c9 r2c9 r1c9 - line, color: lightgray, coords: r7c1 r8c1 r9c1 - line, color: violet, coords: r8c4 r7c4 r7c5 - line, color: violet, coords: r8c5 r9c5 r9c6 - line, color: violet, coords: r7c6 r8c6 - line, color: violet, coords: r6c9 r6c8 r7c8 r8c8 r9c8 - line, color: violet, coords: r4c9 r4c8 r3c8 r2c8 r1c8 - line, color: violet, coords: r4c1 r4c2 r3c2 r2c2 r1c2 - line, color: violet, coords: r6c1 r6c2 r7c2 r8c2 r9c2 - line, color: violet, coords: r6c3 r7c3 - line, color: violet, coords: r2c4 r3c4 r3c5 - line, color: violet, coords: r1c4 r1c5 r2c5 - line, color: violet, coords: r2c6 r3c6 - shape: circle, color: lightgray, location: r5c3 - shape: circle, color: lightgray, location: r5c4 - shape: circle, color: lightgray, location: r3c9 - shape: circle, color: lightgray, location: r7c1 - text: V, shape: circle, color: white, location: between r1c1 and r2c1
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_29
.................................................................................
812937645376452198459186327781264539693578214524319876167893452238745961945621783
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Digits on a thermometer increase from bulb to tip.\nValues outside the grid give the sum along the indicated diagonal." ### Visual Elements - line, color: lightgray, coords: r7c1 r6c1 r5c1 r4c1 r4c2 r3c3 - line, color: lightgray, coords: r7c1 r6c2 r5c3 r5c4 r5c5 - line, color: lightgray, coords: r7c1 r7c2 r7c3 r7c4 r7c5 - line, color: lightgray, coords: r7c1 r8c1 r8c2 r9c3 r9c4 - line, color: lightgray, coords: r2c7 r3c8 r4c8 r5c9 r6c9 r6c8 r6c7 - line, color: lightgray, coords: r2c7 r3c6 r3c5 - line, color: lightgray, coords: r2c7 r2c6 r1c5 r2c4 r2c3 r2c2 - line, color: lightgray, coords: r2c7 r3c7 r4c7 r5c6 r6c6 - diagonal arrow, color: black, in location: r6c0, pointing lower right - diagonal arrow, color: black, in location: r6c10, pointing upper left - shape: circle, color: lightgray, location: r7c1 - shape: circle, color: lightgray, location: r2c7 - text: 9, shape: circle, location: r6c0 - text: 15, shape: circle, location: r6c10
sxsm_Biscuit_1cdfee5b62656f4d3f3aa8c35ded50ea
Tendril Battle
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Digits on a thermometer increase from bulb to tip.\nValues outside the grid give the sum along the indicated diagonal."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8 1 2 9 3 7 6 4 5 3 7 6 4 5 2 1 9 8 4 5 9 1 8 6 3 2 7 7 8 1 2 6 4 5 3 9 6 9 3 5 7 8 2 1 4 5 2 4 3 1 9 8 7 6 1 6 7 8 9 3 4 5 2 2 3 8 7 4 5 9 6 1 9 4 5 6 2 1 7 8 3
9
9
- line, color: lightgray, coords: r7c1 r6c1 r5c1 r4c1 r4c2 r3c3 - line, color: lightgray, coords: r7c1 r6c2 r5c3 r5c4 r5c5 - line, color: lightgray, coords: r7c1 r7c2 r7c3 r7c4 r7c5 - line, color: lightgray, coords: r7c1 r8c1 r8c2 r9c3 r9c4 - line, color: lightgray, coords: r2c7 r3c8 r4c8 r5c9 r6c9 r6c8 r6c7 - line, color: lightgray, coords: r2c7 r3c6 r3c5 - line, color: lightgray, coords: r2c7 r2c6 r1c5 r2c4 r2c3 r2c2 - line, color: lightgray, coords: r2c7 r3c7 r4c7 r5c6 r6c6 - diagonal arrow, color: black, in location: r6c0, pointing lower right - diagonal arrow, color: black, in location: r6c10, pointing upper left - shape: circle, color: lightgray, location: r7c1 - shape: circle, color: lightgray, location: r2c7 - text: 9, shape: circle, location: r6c0 - text: 15, shape: circle, location: r6c10
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_30
.................................................................................
235794861167835429894261537952416378713958642486327195348172956671549283529683714
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nArrow: Digits along an arrow sum to the digit in that arrow's circle.\nAntiknight: Cells separated by a knight's move (in chess) cannot contain the same digit." ### Visual Elements - arrow, color: darkgray, coords (base to tip): r5c4 r6c3 r5c2 r4c3 - arrow, color: darkgray, coords (base to tip): r3c5 r3c4 r2c5 r3c6 - arrow, color: darkgray, coords (base to tip): r7c5 r7c6 r8c5 r7c4 - arrow, color: darkgray, coords (base to tip): r5c6 r4c7 r5c8 r6c7 - arrow, color: darkgray, coords (base to tip): r7c3 r6c4 r5c5 - arrow, color: darkgray, coords (base to tip): r7c3 r7c2 r6c1 - arrow, color: darkgray, coords (base to tip): r7c3 r8c2 r8c3 - shape: circle, color: white (stroke color: darkgray), location: r5c4 - shape: circle, color: white (stroke color: darkgray), location: r3c5 - shape: circle, color: white (stroke color: darkgray), location: r7c5 - shape: circle, color: white (stroke color: darkgray), location: r5c6 - shape: circle, color: white (stroke color: darkgray), location: r7c3 - global: anti-knight
sxsm_Space_man_a938fd84f9351d2f2c5e3aa87fb312b1
Corners
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nArrow: Digits along an arrow sum to the digit in that arrow's circle.\nAntiknight: Cells separated by a knight's move (in chess) cannot contain the same digit."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 3 5 7 9 4 8 6 1 1 6 7 8 3 5 4 2 9 8 9 4 2 6 1 5 3 7 9 5 2 4 1 6 3 7 8 7 1 3 9 5 8 6 4 2 4 8 6 3 2 7 1 9 5 3 4 8 1 7 2 9 5 6 6 7 1 5 4 9 2 8 3 5 2 9 6 8 3 7 1 4
9
9
- arrow, color: darkgray, coords (base to tip): r5c4 r6c3 r5c2 r4c3 - arrow, color: darkgray, coords (base to tip): r3c5 r3c4 r2c5 r3c6 - arrow, color: darkgray, coords (base to tip): r7c5 r7c6 r8c5 r7c4 - arrow, color: darkgray, coords (base to tip): r5c6 r4c7 r5c8 r6c7 - arrow, color: darkgray, coords (base to tip): r7c3 r6c4 r5c5 - arrow, color: darkgray, coords (base to tip): r7c3 r7c2 r6c1 - arrow, color: darkgray, coords (base to tip): r7c3 r8c2 r8c3 - shape: circle, color: white (stroke color: darkgray), location: r5c4 - shape: circle, color: white (stroke color: darkgray), location: r3c5 - shape: circle, color: white (stroke color: darkgray), location: r7c5 - shape: circle, color: white (stroke color: darkgray), location: r5c6 - shape: circle, color: white (stroke color: darkgray), location: r7c3 - global: anti-knight
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_31
.................................................................................
925483671386175429714269385863512947241897563579634218692758134438921756157346892
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Normal sudoku rules apply: Place the digits 1 to 9 once each in every row, column, and box.\n\nZipper lines: Cells on a lavender zipper line at an equal distance to the center, which is marked with a dot, sum to the digit at the center." ### Visual Elements - region: r1c9 r2c9 r3c9 r1c8 r2c8 r3c8 r1c7 r2c7 r3c7 - region: r4c9 r5c9 r6c9 r4c8 r5c8 r6c8 r4c7 r5c7 r6c7 - region: r7c9 r8c9 r9c9 r7c8 r8c8 r9c8 r7c7 r8c7 r9c7 - region: r1c6 r2c6 r3c6 r1c5 r2c5 r3c5 r1c4 r2c4 r3c4 - region: r4c6 r5c6 r6c6 r4c5 r5c5 r6c5 r4c4 r5c4 r6c4 - region: r7c6 r8c6 r9c6 r7c5 r8c5 r9c5 r7c4 r8c4 r9c4 - region: r1c3 r2c3 r3c3 r1c2 r2c2 r3c2 r1c1 r2c1 r3c1 - region: r4c3 r5c3 r6c3 r4c2 r5c2 r6c2 r4c1 r5c1 r6c1 - region: r7c3 r8c3 r9c3 r7c2 r8c2 r9c2 r7c1 r8c1 r9c1 - line, color: lavender, coords: r1c9 r2c8 r3c7 r3c6 r3c5 r2c5 r1c5 - line, color: lavender, coords: r5c9 r5c8 r5c7 r5c6 r6c7 r6c8 r7c9 - line, color: lavender, coords: r8c9 r7c8 r7c7 r7c6 r8c7 r8c8 r9c9 - line, color: lavender, coords: r9c5 r8c5 r7c5 r6c4 r5c3 r5c2 r5c1 - line, color: lavender, coords: r1c4 r2c4 r3c4 r4c4 r4c3 r3c3 r3c2 - line, color: lavender, coords: r9c2 r8c2 r7c3 r6c3 r6c2 r7c1 r8c1 - shape: circle, color: lavender, location: r3c6 - shape: circle, color: lavender, location: r5c6 - shape: circle, color: lavender, location: r7c6 - shape: circle, color: lavender, location: r4c4 - shape: circle, color: lavender, location: r6c4 - shape: circle, color: lavender, location: r6c3
penpa583faf82b49f98649ca8ccedfdde0e8b
Zip Zag
"Normal sudoku rules apply: Place the digits 1 to 9 once each in every row, column, and box.\n\nZipper lines: Cells on a lavender zipper line at an equal distance to the center, which is marked with a dot, sum to the digit at the center."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9 2 5 4 8 3 6 7 1 3 8 6 1 7 5 4 2 9 7 1 4 2 6 9 3 8 5 8 6 3 5 1 2 9 4 7 2 4 1 8 9 7 5 6 3 5 7 9 6 3 4 2 1 8 6 9 2 7 5 8 1 3 4 4 3 8 9 2 1 7 5 6 1 5 7 3 4 6 8 9 2
9
9
- region: r1c9 r2c9 r3c9 r1c8 r2c8 r3c8 r1c7 r2c7 r3c7 - region: r4c9 r5c9 r6c9 r4c8 r5c8 r6c8 r4c7 r5c7 r6c7 - region: r7c9 r8c9 r9c9 r7c8 r8c8 r9c8 r7c7 r8c7 r9c7 - region: r1c6 r2c6 r3c6 r1c5 r2c5 r3c5 r1c4 r2c4 r3c4 - region: r4c6 r5c6 r6c6 r4c5 r5c5 r6c5 r4c4 r5c4 r6c4 - region: r7c6 r8c6 r9c6 r7c5 r8c5 r9c5 r7c4 r8c4 r9c4 - region: r1c3 r2c3 r3c3 r1c2 r2c2 r3c2 r1c1 r2c1 r3c1 - region: r4c3 r5c3 r6c3 r4c2 r5c2 r6c2 r4c1 r5c1 r6c1 - region: r7c3 r8c3 r9c3 r7c2 r8c2 r9c2 r7c1 r8c1 r9c1 - line, color: lavender, coords: r1c9 r2c8 r3c7 r3c6 r3c5 r2c5 r1c5 - line, color: lavender, coords: r5c9 r5c8 r5c7 r5c6 r6c7 r6c8 r7c9 - line, color: lavender, coords: r8c9 r7c8 r7c7 r7c6 r8c7 r8c8 r9c9 - line, color: lavender, coords: r9c5 r8c5 r7c5 r6c4 r5c3 r5c2 r5c1 - line, color: lavender, coords: r1c4 r2c4 r3c4 r4c4 r4c3 r3c3 r3c2 - line, color: lavender, coords: r9c2 r8c2 r7c3 r6c3 r6c2 r7c1 r8c1 - shape: circle, color: lavender, location: r3c6 - shape: circle, color: lavender, location: r5c6 - shape: circle, color: lavender, location: r7c6 - shape: circle, color: lavender, location: r4c4 - shape: circle, color: lavender, location: r6c4 - shape: circle, color: lavender, location: r6c3
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_32
.................................................................................
634298175298571463517463289162389754875642931349157628953724816426815397781936542
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nDigits cannot repeat within a cage. Digits along an arrow sum to the digit in its circle. Adjacent digits on a green line differ by 5 or more. Digits on a purple line comprise a set of non-repeating, consecutive digits (in any order)." ### Visual Elements - killer cage: r2c2 r2c3 r2c4 r3c2 r3c3 r3c4 r4c2 r4c3 r4c4 - killer cage: r2c6 r2c7 r2c8 r3c6 r3c7 r3c8 r4c6 r4c7 r4c8 - killer cage: r6c6 r6c7 r6c8 r7c6 r7c7 r7c8 r8c6 r8c7 r8c8 - killer cage: r6c2 r6c3 r6c4 r7c2 r7c3 r7c4 r8c2 r8c3 r8c4 - line, color: violet, coords: r1c5 r2c4 r3c3 r4c2 r5c1 - line, color: violet, coords: r5c2 r5c3 r5c4 - line, color: violet, coords: r2c5 r3c5 r4c5 - line, color: violet, coords: r9c6 r9c7 r9c8 - line, color: violet, coords: r7c7 r8c8 - line, color: lightgreen, coords: r6c1 r7c1 r8c1 - line, color: lightgreen, coords: r9c2 r9c3 r9c4 - line, color: lightgreen, coords: r2c9 r3c9 r4c9 - line, color: lightgreen, coords: r5c8 r5c7 r5c6 - arrow, color: darkgray, coords (base to tip): r5c1 r4c1 r3c1 r2c1 - arrow, color: darkgray, coords (base to tip): r1c5 r1c4 r1c3 r1c2 - shape: circle, color: white (stroke color: darkgray), location: r5c1 - shape: circle, color: white (stroke color: darkgray), location: r1c5
sxsm_MathPesto_6bc22cffe259fa87e3f6e1f3462b471e
Willow
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nDigits cannot repeat within a cage. Digits along an arrow sum to the digit in its circle. Adjacent digits on a green line differ by 5 or more. Digits on a purple line comprise a set of non-repeating, consecutive digits (in any order)."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6 3 4 2 9 8 1 7 5 2 9 8 5 7 1 4 6 3 5 1 7 4 6 3 2 8 9 1 6 2 3 8 9 7 5 4 8 7 5 6 4 2 9 3 1 3 4 9 1 5 7 6 2 8 9 5 3 7 2 4 8 1 6 4 2 6 8 1 5 3 9 7 7 8 1 9 3 6 5 4 2
9
9
- killer cage: r2c2 r2c3 r2c4 r3c2 r3c3 r3c4 r4c2 r4c3 r4c4 - killer cage: r2c6 r2c7 r2c8 r3c6 r3c7 r3c8 r4c6 r4c7 r4c8 - killer cage: r6c6 r6c7 r6c8 r7c6 r7c7 r7c8 r8c6 r8c7 r8c8 - killer cage: r6c2 r6c3 r6c4 r7c2 r7c3 r7c4 r8c2 r8c3 r8c4 - line, color: violet, coords: r1c5 r2c4 r3c3 r4c2 r5c1 - line, color: violet, coords: r5c2 r5c3 r5c4 - line, color: violet, coords: r2c5 r3c5 r4c5 - line, color: violet, coords: r9c6 r9c7 r9c8 - line, color: violet, coords: r7c7 r8c8 - line, color: lightgreen, coords: r6c1 r7c1 r8c1 - line, color: lightgreen, coords: r9c2 r9c3 r9c4 - line, color: lightgreen, coords: r2c9 r3c9 r4c9 - line, color: lightgreen, coords: r5c8 r5c7 r5c6 - arrow, color: darkgray, coords (base to tip): r5c1 r4c1 r3c1 r2c1 - arrow, color: darkgray, coords (base to tip): r1c5 r1c4 r1c3 r1c2 - shape: circle, color: white (stroke color: darkgray), location: r5c1 - shape: circle, color: white (stroke color: darkgray), location: r1c5
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_33
....5.......................................................................1....
742356918361987254589142736418729365625834197937561482273695841196478523854213679
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Each row, column, and 3x3 box contains each number from 1 to 9 exactly once.\nDigits along a thermometer must increase or stay the same from the bulb to the end." ### Visual Elements - line, color: lightgray, coords: r4c2 r5c2 r6c2 r7c3 r8c4 r8c5 r8c6 r7c7 r6c8 r5c8 - line, color: lightgray, coords: r2c3 r3c4 r4c5 r3c6 r2c7 r3c8 r4c7 r5c6 r6c7 r7c8 r8c7 r7c6 r6c5 r7c4 r8c3 r7c2 r6c3 r5c4 r4c3 r3c2 - line, color: lightgray, coords: r4c8 r3c7 r2c6 r2c5 r2c4 r3c3 - shape: circle, color: lightgray, location: r4c2 - shape: circle, color: lightgray, location: r2c3 - shape: circle, color: lightgray, location: r4c8
sxsm_PeteCraig_125159246c42f5b038e5a1eb34ab8b63
Slow Thermos
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Each row, column, and 3x3 box contains each number from 1 to 9 exactly once.\nDigits along a thermometer must increase or stay the same from the bulb to the end."
. . . . 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . .
7 4 2 3 5 6 9 1 8 3 6 1 9 8 7 2 5 4 5 8 9 1 4 2 7 3 6 4 1 8 7 2 9 3 6 5 6 2 5 8 3 4 1 9 7 9 3 7 5 6 1 4 8 2 2 7 3 6 9 5 8 4 1 1 9 6 4 7 8 5 2 3 8 5 4 2 1 3 6 7 9
9
9
- line, color: lightgray, coords: r4c2 r5c2 r6c2 r7c3 r8c4 r8c5 r8c6 r7c7 r6c8 r5c8 - line, color: lightgray, coords: r2c3 r3c4 r4c5 r3c6 r2c7 r3c8 r4c7 r5c6 r6c7 r7c8 r8c7 r7c6 r6c5 r7c4 r8c3 r7c2 r6c3 r5c4 r4c3 r3c2 - line, color: lightgray, coords: r4c8 r3c7 r2c6 r2c5 r2c4 r3c3 - shape: circle, color: lightgray, location: r4c2 - shape: circle, color: lightgray, location: r2c3 - shape: circle, color: lightgray, location: r4c8
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_34
.................................................................................
829731645346925871715486392932178564571364289684259137163597428257843916498612753
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.\n\nThe digits in a cage must sum to the number printed in its corner. Digits may not repeat within a cage.\n\nThe digits along each arrow must sum to the digit in the circled cell. Digits may repeat along an arrow if permitted by other rules.\n\nCells with a filled circle must be odd. Cells with a filled square must be even.\n\nExported from sudokulab.net" ### Visual Elements - killer cage (value 17): r1c1 r1c2 r2c1 r2c2 - killer cage (value 11): r1c5 r1c6 r2c5 r2c6 - killer cage (value 17): r1c8 r1c9 r2c8 r2c9 - killer cage (value 20): r8c1 r8c2 r9c1 r9c2 - killer cage (value 10): r8c5 r8c6 r9c5 r9c6 - killer cage (value 15): r8c8 r8c9 r9c8 r9c9 - arrow, color: darkgray, coords (base to tip): r1c1 r2c2 r3c2 r4c2 - arrow, color: darkgray, coords (base to tip): r9c2 r8c1 r7c1 r6c1 - arrow, color: darkgray, coords (base to tip): r2c8 r2c9 r3c9 r4c9 - arrow, color: darkgray, coords (base to tip): r8c9 r8c8 r7c8 r6c8 - arrow, color: darkgray, coords (base to tip): r5c2 r4c3 r5c3 r6c3 - arrow, color: darkgray, coords (base to tip): r5c5 r4c4 r5c4 r6c4 - arrow, color: darkgray, coords (base to tip): r5c8 r4c7 r5c7 r6c7 - shape: circle, color: lightgray, location: r4c4 - shape: circle, color: white (stroke color: darkgray), location: r1c1 - shape: circle, color: white (stroke color: darkgray), location: r9c2 - shape: circle, color: white (stroke color: darkgray), location: r2c8 - shape: circle, color: white (stroke color: darkgray), location: r8c9 - shape: circle, color: white (stroke color: darkgray), location: r5c2 - shape: circle, color: white (stroke color: darkgray), location: r5c5 - shape: circle, color: white (stroke color: darkgray), location: r5c8
fpuzzled2b81e418308a21db8bb56aaab4b778a
Four Corner Shots
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.\n\nThe digits in a cage must sum to the number printed in its corner. Digits may not repeat within a cage.\n\nThe digits along each arrow must sum to the digit in the circled cell. Digits may repeat along an arrow if permitted by other rules.\n\nCells with a filled circle must be odd. Cells with a filled square must be even.\n\nExported from sudokulab.net"
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8 2 9 7 3 1 6 4 5 3 4 6 9 2 5 8 7 1 7 1 5 4 8 6 3 9 2 9 3 2 1 7 8 5 6 4 5 7 1 3 6 4 2 8 9 6 8 4 2 5 9 1 3 7 1 6 3 5 9 7 4 2 8 2 5 7 8 4 3 9 1 6 4 9 8 6 1 2 7 5 3
9
9
- killer cage (value 17): r1c1 r1c2 r2c1 r2c2 - killer cage (value 11): r1c5 r1c6 r2c5 r2c6 - killer cage (value 17): r1c8 r1c9 r2c8 r2c9 - killer cage (value 20): r8c1 r8c2 r9c1 r9c2 - killer cage (value 10): r8c5 r8c6 r9c5 r9c6 - killer cage (value 15): r8c8 r8c9 r9c8 r9c9 - arrow, color: darkgray, coords (base to tip): r1c1 r2c2 r3c2 r4c2 - arrow, color: darkgray, coords (base to tip): r9c2 r8c1 r7c1 r6c1 - arrow, color: darkgray, coords (base to tip): r2c8 r2c9 r3c9 r4c9 - arrow, color: darkgray, coords (base to tip): r8c9 r8c8 r7c8 r6c8 - arrow, color: darkgray, coords (base to tip): r5c2 r4c3 r5c3 r6c3 - arrow, color: darkgray, coords (base to tip): r5c5 r4c4 r5c4 r6c4 - arrow, color: darkgray, coords (base to tip): r5c8 r4c7 r5c7 r6c7 - shape: circle, color: lightgray, location: r4c4 - shape: circle, color: white (stroke color: darkgray), location: r1c1 - shape: circle, color: white (stroke color: darkgray), location: r9c2 - shape: circle, color: white (stroke color: darkgray), location: r2c8 - shape: circle, color: white (stroke color: darkgray), location: r8c9 - shape: circle, color: white (stroke color: darkgray), location: r5c2 - shape: circle, color: white (stroke color: darkgray), location: r5c5 - shape: circle, color: white (stroke color: darkgray), location: r5c8
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_35
.................................................................................
391642587428157396576839421612578934783914265954263718169725843247381659835496172
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nDraw a one-cell-wide loop of orthogonally connected cells. The loop may not touch itself, not even diagonally.\n\nThe loop acts as a German Whispers line (i.e., adjacent digits on the loop must have a difference of at least 5).\n\nLoopy Numbered Rooms: Clues outside the grid indicate the digit which has to be placed in the Nth loop cell in the corresponding direction, where N is the digit next to the clue (and not necessarily on the loop)." ### Visual Elements - text: 6, shape: circle, location: r1c0 - text: 4, shape: circle, location: r3c0 - text: 6, shape: circle, location: r0c7 - text: 4, shape: circle, location: r3c10 - text: 8, shape: circle, location: r10c4 - text: 9, shape: circle, location: r10c9 - text: 7, shape: circle, location: r7c10
sxsm_yttrio_c94b4adf8c80dfc69326e638c42c4d36
Loopy Whisper Rooms
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nDraw a one-cell-wide loop of orthogonally connected cells. The loop may not touch itself, not even diagonally.\n\nThe loop acts as a German Whispers line (i.e., adjacent digits on the loop must have a difference of at least 5).\n\nLoopy Numbered Rooms: Clues outside the grid indicate the digit which has to be placed in the Nth loop cell in the corresponding direction, where N is the digit next to the clue (and not necessarily on the loop)."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 9 1 6 4 2 5 8 7 4 2 8 1 5 7 3 9 6 5 7 6 8 3 9 4 2 1 6 1 2 5 7 8 9 3 4 7 8 3 9 1 4 2 6 5 9 5 4 2 6 3 7 1 8 1 6 9 7 2 5 8 4 3 2 4 7 3 8 1 6 5 9 8 3 5 4 9 6 1 7 2
9
9
- text: 6, shape: circle, location: r1c0 - text: 4, shape: circle, location: r3c0 - text: 6, shape: circle, location: r0c7 - text: 4, shape: circle, location: r3c10 - text: 8, shape: circle, location: r10c4 - text: 9, shape: circle, location: r10c9 - text: 7, shape: circle, location: r7c10
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_36
.................................................................................
568794231791325486324681975186953742237148569459267318915436827873512694642879153
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nYin Yang: Shade some cells so that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. Each 2x2 area of the grid contains shaded and unshaded cells.\nHot/Cold: The value of a shaded cell is one more than it's digit. The value of an unshaded cell is one less than it's digit.\nArrows: Values along an arrow sum to the value in the attached circle.\nKropki: White dots separate cells with consecutive values. Not all dots are given." ### Visual Elements - arrow, color: darkgray, coords (base to tip): r6c3 r6c4 r5c4 r5c5 r4c5 r4c6 r3c6 - arrow, color: darkgray, coords (base to tip): r4c2 r5c2 r5c1 r4c1 r3c1 r3c2 r3c3 r2c3 - arrow, color: darkgray, coords (base to tip): r9c6 r8c6 r8c5 r7c5 r6c5 - arrow, color: darkgray, coords (base to tip): r5c7 r4c7 - arrow, color: darkgray, coords (base to tip): r5c7 r5c8 r6c8 r7c8 - arrow, color: darkgray, coords (base to tip): r3c7 r2c7 r2c6 r2c5 r2c4 - arrow, color: darkgray, coords (base to tip): r9c2 r9c1 - arrow, color: darkgray, coords (base to tip): r2c2 r2c1 r1c1 - shape: circle, color: white (stroke color: darkgray), location: r6c3 - shape: circle, color: white (stroke color: darkgray), location: r4c2 - shape: circle, color: white (stroke color: darkgray), location: r9c6 - shape: circle, color: white (stroke color: darkgray), location: r5c7 - shape: circle, color: white (stroke color: darkgray), location: r3c7 - shape: circle, color: white (stroke color: darkgray), location: r9c2 - shape: circle, color: white (stroke color: darkgray), location: r2c2 - shape: circle, color: white (stroke color: black), location: between r8c9 and r9c9 - shape: circle, color: white (stroke color: black), location: between r4c1 and r5c1
sxsm_gdc_e24d25a725ab55588baadf63091a878d
Thermal Balance
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nYin Yang: Shade some cells so that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. Each 2x2 area of the grid contains shaded and unshaded cells.\nHot/Cold: The value of a shaded cell is one more than it's digit. The value of an unshaded cell is one less than it's digit.\nArrows: Values along an arrow sum to the value in the attached circle.\nKropki: White dots separate cells with consecutive values. Not all dots are given."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5 6 8 7 9 4 2 3 1 7 9 1 3 2 5 4 8 6 3 2 4 6 8 1 9 7 5 1 8 6 9 5 3 7 4 2 2 3 7 1 4 8 5 6 9 4 5 9 2 6 7 3 1 8 9 1 5 4 3 6 8 2 7 8 7 3 5 1 2 6 9 4 6 4 2 8 7 9 1 5 3
9
9
- arrow, color: darkgray, coords (base to tip): r6c3 r6c4 r5c4 r5c5 r4c5 r4c6 r3c6 - arrow, color: darkgray, coords (base to tip): r4c2 r5c2 r5c1 r4c1 r3c1 r3c2 r3c3 r2c3 - arrow, color: darkgray, coords (base to tip): r9c6 r8c6 r8c5 r7c5 r6c5 - arrow, color: darkgray, coords (base to tip): r5c7 r4c7 - arrow, color: darkgray, coords (base to tip): r5c7 r5c8 r6c8 r7c8 - arrow, color: darkgray, coords (base to tip): r3c7 r2c7 r2c6 r2c5 r2c4 - arrow, color: darkgray, coords (base to tip): r9c2 r9c1 - arrow, color: darkgray, coords (base to tip): r2c2 r2c1 r1c1 - shape: circle, color: white (stroke color: darkgray), location: r6c3 - shape: circle, color: white (stroke color: darkgray), location: r4c2 - shape: circle, color: white (stroke color: darkgray), location: r9c6 - shape: circle, color: white (stroke color: darkgray), location: r5c7 - shape: circle, color: white (stroke color: darkgray), location: r3c7 - shape: circle, color: white (stroke color: darkgray), location: r9c2 - shape: circle, color: white (stroke color: darkgray), location: r2c2 - shape: circle, color: white (stroke color: black), location: between r8c9 and r9c9 - shape: circle, color: white (stroke color: black), location: between r4c1 and r5c1
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_37
.................................................................................
945672183713584926628193754489261537132457698567938412874315269291846375356729841
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Each row, column, and 3x3 box contains each number from 1 to 9 exactly once.\nQuadruple: The digits in each circle must appear at least once in the four surrounding cells.\nWhispers: Along each green line, each pair of\nadjacent digits have a difference of at least 5.\n" ### Visual Elements - line, color: lightgreen, coords: r2c2 r3c3 r4c4 r3c5 r2c6 r2c7 r2c8 r3c7 r4c6 r5c7 r6c8 r7c8 - line, color: lightgreen, coords: r8c8 r7c7 r6c6 r7c5 r8c4 r8c3 r8c2 r7c3 r6c4 r5c3 r4c2 r3c2 - text: 1 2 3 8, shape: circle, color: white (stroke color: black), location: at the corner of r2c2 r2c3 r3c2 r3c3 - text: 2 5, shape: circle, color: white (stroke color: black), location: at the corner of r2c7 r2c8 r3c7 r3c8 - text: 1 7, shape: circle, color: white (stroke color: black), location: at the corner of r7c2 r7c3 r8c2 r8c3 - text: 4 6 9, shape: circle, color: white (stroke color: black), location: at the corner of r5c7 r5c8 r6c7 r6c8 - text: 3, shape: circle, color: white (stroke color: black), location: at the corner of r4c2 r4c3 r5c2 r5c3 - text: 3 8, shape: circle, color: white (stroke color: black), location: at the corner of r7c4 r7c5 r8c4 r8c5 - text: 2 3 6 7, shape: circle, color: white (stroke color: black), location: at the corner of r7c7 r7c8 r8c7 r8c8
fpuzzlea6ea6e58397248eccc123914267b418a
Mutation
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. Each row, column, and 3x3 box contains each number from 1 to 9 exactly once.\nQuadruple: The digits in each circle must appear at least once in the four surrounding cells.\nWhispers: Along each green line, each pair of\nadjacent digits have a difference of at least 5.\n"
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9 4 5 6 7 2 1 8 3 7 1 3 5 8 4 9 2 6 6 2 8 1 9 3 7 5 4 4 8 9 2 6 1 5 3 7 1 3 2 4 5 7 6 9 8 5 6 7 9 3 8 4 1 2 8 7 4 3 1 5 2 6 9 2 9 1 8 4 6 3 7 5 3 5 6 7 2 9 8 4 1
9
9
- line, color: lightgreen, coords: r2c2 r3c3 r4c4 r3c5 r2c6 r2c7 r2c8 r3c7 r4c6 r5c7 r6c8 r7c8 - line, color: lightgreen, coords: r8c8 r7c7 r6c6 r7c5 r8c4 r8c3 r8c2 r7c3 r6c4 r5c3 r4c2 r3c2 - text: 1 2 3 8, shape: circle, color: white (stroke color: black), location: at the corner of r2c2 r2c3 r3c2 r3c3 - text: 2 5, shape: circle, color: white (stroke color: black), location: at the corner of r2c7 r2c8 r3c7 r3c8 - text: 1 7, shape: circle, color: white (stroke color: black), location: at the corner of r7c2 r7c3 r8c2 r8c3 - text: 4 6 9, shape: circle, color: white (stroke color: black), location: at the corner of r5c7 r5c8 r6c7 r6c8 - text: 3, shape: circle, color: white (stroke color: black), location: at the corner of r4c2 r4c3 r5c2 r5c3 - text: 3 8, shape: circle, color: white (stroke color: black), location: at the corner of r7c4 r7c5 r8c4 r8c5 - text: 2 3 6 7, shape: circle, color: white (stroke color: black), location: at the corner of r7c7 r7c8 r8c7 r8c8
fpuzN4IgzglgXgpiBcBOANCALhNAbO8QFkBXNAQwwHsA7EVE4gC3ICcEQAFGNGAAgGEmSEAOY0QTQjjCdWAOWYBbElm4BlQgBNyAa0Ldxk7iQAORrAE8AdNwCiJAMb095AO7Jud8lkLzKbkpXVuAGYADyDuACNyEPcqUghKMG4Ye0dKbwiYJm4AMyZyeW4ARm40cm5EZJD7bDNuKjsYCwAdSgBFQhJ1cVMYeG4AFXoedWFMJITk1PcIJjscbnlCMDRDExTssm4cEhX6ykbuSbRh3PJCbLAL%2FMIAhKF3GCwsMBbKAHV6CDAjLLB%2BgCCWCoDxSDm4QiYMBglG2CRgbjBjiMgmy5ByrS6ACt7DDVqMhONuPQSAA3HgkbijHI5LIww7owyrHZ7ACsb1EkIg6gQAG1ecAAL7IIUi4WiiXiqVigC6yAF0slYuVSqFcoVKsVWs16tV2r1svlBuNWt1%2BvNOqNFpNho1NpNZs1TodcpAzi%2BPz%2BfNAWHhYD5vJAACUAEy8EOiINBXhBSMAFl4ccj0dZkbDADY07wAOxZgAcyZz8d4mdQQdZRbL6d4BbL2ZrIBlMvFIF9lBg%2Fvg%2FODeYbdcrwerpeD9dTZd7SfHMcjvYj%2FdjVcTkYrC%2BDCbnwejEabgtdAEdOt1CL1vSBGs9O4HQ%2BGs6uozey9HY67SUpCB2%2BUVkCHkEFkHnmxFM8nhePlgzDXMyzDWtNwHe8CxfN8Py7H9WUA0Bz1ArsRwfHC71nGdp0QrxkN5L9s3Q4CLzA8s4IrGCg2rSDBwbYj30vONkHTZBEEozDLzXXCgwTO8Kw3Wjn1QV8SMvII%2BJAgSg3rSccLHHslynVM2NIv8AJbfiaPrZilL7dTjN7BCpKQy8fz%2FbiKN3VAwE8YgICoPkUE41kuOQbNv2QL881%2FXyAuC7ygs4lAf247ifyCr8UD%2FPzvM4zigqinyv28pLQr%2FH8vJC7iUCC7z7J44KItCuKQs4v8sv8or%2FJQQLkE47icuy5BSpCn9itagLXTbXABVbP0A3AoSn2LFT7zU69h2vYzoMLYyEwWitjOrBj6wQ11zmweFeFYABidNswAMQABjO0RnG5E4EEuiw%2FxAPICl4KgVgEBI0FYT5vl%2BJh%2FRbIbLyvCzIyMyMh0h3g5onQj8KE%2Bs72rGaV2LcSt0bPbiCGo68FOi7ruYu71Ae%2BAnpet75A%2BxI0G%2Byhfrwf7PSBkBd0FIA%3D%3D%3D
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_38
.................................................................................
247631985859472316613958427475169238368245179921783564734516892582397641196824753
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.\n\nRegion Sum Line: The sum of the digits on a blue line within a particular region must be the same for all of the regions the line passes through.\n\nXV Pairs: Digits in cells separated by a V sum to 5. Digits in cells separated by an X sum to 10. Not all possible Xs and Vs are necessarily given.\n\nRoman Numeral Cages: Numbers in cages connected by a C sum to 100. Numbers in cages connected by a D sum to 500. Cages are read top-to-bottom or left-to-right." ### Visual Elements - killer cage: r3c3 r4c3 r5c3 - killer cage: r6c3 r7c3 r8c3 - killer cage: r2c7 r3c7 r4c7 - killer cage: r5c7 r6c7 r7c7 - killer cage: r1c1 r1c2 - killer cage: r1c3 r1c4 - killer cage: r9c8 r9c9 - killer cage: r9c6 r9c7 - line, color: deepskyblue, coords: r1c1 r1c2 r1c3 r1c4 r2c5 - line, color: deepskyblue, coords: r4c3 r5c3 r6c3 r7c3 r8c3 r8c2 - line, color: deepskyblue, coords: r6c7 r5c7 r4c7 r3c7 r2c7 r2c8 - line, color: deepskyblue, coords: r3c3 r4c4 r5c4 - line, color: deepskyblue, coords: r7c7 r6c6 r5c6 - line, color: deepskyblue, coords: r9c9 r9c8 r9c7 r9c6 r9c5 r8c5 - shape: circle, color: white, location: between r5c3 and r6c3 - shape: circle, color: white, location: between r4c7 and r5c7 - shape: circle, color: white, location: between r9c7 and r9c8 - shape: circle, color: white, location: between r1c2 and r1c3 - text: D, shape: circle, location: between r5c3 and r6c3 - text: D, shape: circle, location: between r4c7 and r5c7 - text: C, shape: circle, location: between r1c2 and r1c3 - text: C, shape: circle, location: between r9c7 and r9c8 - text: V, shape: circle, color: white, location: between r2c6 and r2c7 - text: V, shape: circle, color: white, location: between r8c3 and r8c4 - text: V, shape: circle, color: white, location: between r6c2 and r7c2 - text: V, shape: circle, color: white, location: between r3c8 and r4c8 - text: X, shape: circle, color: white, location: between r3c1 and r4c1
sxsm_Gerhard1963_88140ac3d09fb8b28ccfddd24a67cc5f
Theta
"Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.\n\nRegion Sum Line: The sum of the digits on a blue line within a particular region must be the same for all of the regions the line passes through.\n\nXV Pairs: Digits in cells separated by a V sum to 5. Digits in cells separated by an X sum to 10. Not all possible Xs and Vs are necessarily given.\n\nRoman Numeral Cages: Numbers in cages connected by a C sum to 100. Numbers in cages connected by a D sum to 500. Cages are read top-to-bottom or left-to-right."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 4 7 6 3 1 9 8 5 8 5 9 4 7 2 3 1 6 6 1 3 9 5 8 4 2 7 4 7 5 1 6 9 2 3 8 3 6 8 2 4 5 1 7 9 9 2 1 7 8 3 5 6 4 7 3 4 5 1 6 8 9 2 5 8 2 3 9 7 6 4 1 1 9 6 8 2 4 7 5 3
9
9
- killer cage: r3c3 r4c3 r5c3 - killer cage: r6c3 r7c3 r8c3 - killer cage: r2c7 r3c7 r4c7 - killer cage: r5c7 r6c7 r7c7 - killer cage: r1c1 r1c2 - killer cage: r1c3 r1c4 - killer cage: r9c8 r9c9 - killer cage: r9c6 r9c7 - line, color: deepskyblue, coords: r1c1 r1c2 r1c3 r1c4 r2c5 - line, color: deepskyblue, coords: r4c3 r5c3 r6c3 r7c3 r8c3 r8c2 - line, color: deepskyblue, coords: r6c7 r5c7 r4c7 r3c7 r2c7 r2c8 - line, color: deepskyblue, coords: r3c3 r4c4 r5c4 - line, color: deepskyblue, coords: r7c7 r6c6 r5c6 - line, color: deepskyblue, coords: r9c9 r9c8 r9c7 r9c6 r9c5 r8c5 - shape: circle, color: white, location: between r5c3 and r6c3 - shape: circle, color: white, location: between r4c7 and r5c7 - shape: circle, color: white, location: between r9c7 and r9c8 - shape: circle, color: white, location: between r1c2 and r1c3 - text: D, shape: circle, location: between r5c3 and r6c3 - text: D, shape: circle, location: between r4c7 and r5c7 - text: C, shape: circle, location: between r1c2 and r1c3 - text: C, shape: circle, location: between r9c7 and r9c8 - text: V, shape: circle, color: white, location: between r2c6 and r2c7 - text: V, shape: circle, color: white, location: between r8c3 and r8c4 - text: V, shape: circle, color: white, location: between r6c2 and r7c2 - text: V, shape: circle, color: white, location: between r3c8 and r4c8 - text: X, shape: circle, color: white, location: between r3c1 and r4c1
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_39
........................................................7........................
146789352985213674372654198638195247251467983794832516417526839563948721829371465
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Normal sudoku rules apply\n\nArrows: Values on an arrow sum to the value in the arrow's circle\n\nXV: Values on an X sum to 10. Values on a V sum to 5. Not all XV are necessarily given.\n\nNegators: There are 9 cells in the grid which are negators, one each in every row, column and 3x3 box, containing the digits 1 to 9 once each. Digits in a negator cell count as negative for the purposes of arrows and XV. E.g. a valid arrow could be 8 = 5 + 7 + (-4) if the 4 were in a negator cell." ### Visual Elements - arrow, color: darkgray, coords (base to tip): r9c3 r9c2 r8c2 r7c2 - arrow, color: darkgray, coords (base to tip): r3c4 r2c4 r2c5 r2c6 - arrow, color: darkgray, coords (base to tip): r3c4 r3c3 r4c3 - arrow, color: darkgray, coords (base to tip): r6c2 r7c1 r8c1 - arrow, color: darkgray, coords (base to tip): r9c9 r8c8 r7c8 - arrow, color: darkgray, coords (base to tip): r7c6 r7c5 r7c4 r8c4 - arrow, color: darkgray, coords (base to tip): r9c8 r8c7 r7c7 r6c7 - arrow, color: darkgray, coords (base to tip): r2c7 r1c7 r1c8 r1c9 r2c9 - arrow, color: darkgray, coords (base to tip): r1c3 r1c4 r1c5 r1c6 - shape: circle, color: white (stroke color: darkgray), location: r9c3 - shape: circle, color: white (stroke color: darkgray), location: r3c4 - shape: circle, color: white (stroke color: darkgray), location: r6c2 - shape: circle, color: white (stroke color: darkgray), location: r9c9 - shape: circle, color: white (stroke color: darkgray), location: r7c6 - shape: circle, color: white (stroke color: darkgray), location: r9c8 - shape: circle, color: white (stroke color: darkgray), location: r2c7 - shape: circle, color: white (stroke color: darkgray), location: r1c3 - text: V, shape: circle, color: white, location: between r1c1 and r1c2 - text: X, shape: circle, color: white, location: between r3c1 and r3c2 - text: X, shape: circle, color: white, location: between r4c4 and r4c5 - text: V, shape: circle, color: white, location: between r6c5 and r6c6 - text: V, shape: circle, color: white, location: between r4c2 and r4c3 - text: V, shape: circle, color: white, location: between r6c8 and r6c9
sxsm_damo_89_038a2422f20161bfd2f5a44d5345b937
Negative Arrows
"Normal sudoku rules apply\n\nArrows: Values on an arrow sum to the value in the arrow's circle\n\nXV: Values on an X sum to 10. Values on a V sum to 5. Not all XV are necessarily given.\n\nNegators: There are 9 cells in the grid which are negators, one each in every row, column and 3x3 box, containing the digits 1 to 9 once each. Digits in a negator cell count as negative for the purposes of arrows and XV. E.g. a valid arrow could be 8 = 5 + 7 + (-4) if the 4 were in a negator cell."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 . . . . . . . . . . . . . . . . . . . . . . . .
1 4 6 7 8 9 3 5 2 9 8 5 2 1 3 6 7 4 3 7 2 6 5 4 1 9 8 6 3 8 1 9 5 2 4 7 2 5 1 4 6 7 9 8 3 7 9 4 8 3 2 5 1 6 4 1 7 5 2 6 8 3 9 5 6 3 9 4 8 7 2 1 8 2 9 3 7 1 4 6 5
9
9
- arrow, color: darkgray, coords (base to tip): r9c3 r9c2 r8c2 r7c2 - arrow, color: darkgray, coords (base to tip): r3c4 r2c4 r2c5 r2c6 - arrow, color: darkgray, coords (base to tip): r3c4 r3c3 r4c3 - arrow, color: darkgray, coords (base to tip): r6c2 r7c1 r8c1 - arrow, color: darkgray, coords (base to tip): r9c9 r8c8 r7c8 - arrow, color: darkgray, coords (base to tip): r7c6 r7c5 r7c4 r8c4 - arrow, color: darkgray, coords (base to tip): r9c8 r8c7 r7c7 r6c7 - arrow, color: darkgray, coords (base to tip): r2c7 r1c7 r1c8 r1c9 r2c9 - arrow, color: darkgray, coords (base to tip): r1c3 r1c4 r1c5 r1c6 - shape: circle, color: white (stroke color: darkgray), location: r9c3 - shape: circle, color: white (stroke color: darkgray), location: r3c4 - shape: circle, color: white (stroke color: darkgray), location: r6c2 - shape: circle, color: white (stroke color: darkgray), location: r9c9 - shape: circle, color: white (stroke color: darkgray), location: r7c6 - shape: circle, color: white (stroke color: darkgray), location: r9c8 - shape: circle, color: white (stroke color: darkgray), location: r2c7 - shape: circle, color: white (stroke color: darkgray), location: r1c3 - text: V, shape: circle, color: white, location: between r1c1 and r1c2 - text: X, shape: circle, color: white, location: between r3c1 and r3c2 - text: X, shape: circle, color: white, location: between r4c4 and r4c5 - text: V, shape: circle, color: white, location: between r6c5 and r6c6 - text: V, shape: circle, color: white, location: between r4c2 and r4c3 - text: V, shape: circle, color: white, location: between r6c8 and r6c9
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_40
.................................................................................
312745689796138254458296731137582496984367512625914378571429863269873145843651927
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nA digit in a circle must belong to the same entropic group (high [789], medium [456] or low [123]) as every cell a single chess knights move away from it.\nDigits on a purple renban line are consecutive and non-repeating.\nAdjacent digits along a green whisper line must differ in value by at least 5.\nThe digits joined by a black dot must be in a 2:1 ratio, e.g one digit is double the other." ### Visual Elements - line, color: lightgreen, coords: r8c1 r7c2 r7c3 r8c3 r9c2 - line, color: lightgreen, coords: r3c9 r4c9 - line, color: violet, coords: r1c6 r1c7 - line, color: violet, coords: r7c9 r8c8 - line, color: violet, coords: r1c4 r2c3 - shape: circle, stroke color: black, location: r1c4 - shape: circle, stroke color: black, location: r4c6 - shape: circle, stroke color: black, location: r6c4 - shape: circle, stroke color: black, location: r2c8 - shape: circle, stroke color: black, location: r8c2 - shape: circle, stroke color: black, location: r7c9 - shape: circle, color: black, location: between r1c2 and r1c3
sxsm_JollyRogers_0c6e29b9800d1e39b135b6b4ddf8037f
Tropical Knights
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \nA digit in a circle must belong to the same entropic group (high [789], medium [456] or low [123]) as every cell a single chess knights move away from it.\nDigits on a purple renban line are consecutive and non-repeating.\nAdjacent digits along a green whisper line must differ in value by at least 5.\nThe digits joined by a black dot must be in a 2:1 ratio, e.g one digit is double the other."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 1 2 7 4 5 6 8 9 7 9 6 1 3 8 2 5 4 4 5 8 2 9 6 7 3 1 1 3 7 5 8 2 4 9 6 9 8 4 3 6 7 5 1 2 6 2 5 9 1 4 3 7 8 5 7 1 4 2 9 8 6 3 2 6 9 8 7 3 1 4 5 8 4 3 6 5 1 9 2 7
9
9
- line, color: lightgreen, coords: r8c1 r7c2 r7c3 r8c3 r9c2 - line, color: lightgreen, coords: r3c9 r4c9 - line, color: violet, coords: r1c6 r1c7 - line, color: violet, coords: r7c9 r8c8 - line, color: violet, coords: r1c4 r2c3 - shape: circle, stroke color: black, location: r1c4 - shape: circle, stroke color: black, location: r4c6 - shape: circle, stroke color: black, location: r6c4 - shape: circle, stroke color: black, location: r2c8 - shape: circle, stroke color: black, location: r8c2 - shape: circle, stroke color: black, location: r7c9 - shape: circle, color: black, location: between r1c2 and r1c3
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_41
.................................................................................
761493582935182746284567391418756923372948165596321478643219857857634219129875634
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nSlow thermometer: Digits along a thermometer either increase or stay the same from the bulb end.\n\nKropki Pairs: Digits joined by a white dot must be consecutive. Digits joined by a black dot must be in a 1:2 ratio. Not all possible dots are necesarilly given." ### Visual Elements - line, color: burlywood, coords: r7c5 r6c6 r6c7 r5c8 - line, color: burlywood, coords: r7c5 r6c6 r6c7 r6c8 - line, color: burlywood, coords: r7c5 r6c4 r6c3 r5c2 - line, color: burlywood, coords: r7c5 r6c4 r6c3 r6c2 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c6 r4c7 r3c8 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c4 r4c3 r3c2 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c5 r3c6 r2c7 r1c8 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c5 r3c4 r2c3 r1c2 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c5 r3c5 r2c5 r1c5 - line, color: burlywood, coords: r7c5 r8c5 r9c5 - line, color: burlywood, coords: r7c5 r8c5 r9c4 - line, color: burlywood, coords: r7c5 r8c5 r9c6 - line, color: burlywood, coords: r7c5 r8c5 r8c6 r9c7 - line, color: burlywood, coords: r7c5 r8c5 r8c4 r9c3 - shape: circle, color: burlywood, location: r7c5 - shape: circle, color: white (stroke color: black), location: between r6c5 and r6c6 - shape: circle, color: white (stroke color: black), location: between r6c4 and r6c5 - shape: circle, color: white (stroke color: black), location: between r3c5 and r3c6 - shape: circle, color: white (stroke color: black), location: between r3c4 and r3c5 - shape: circle, color: white (stroke color: black), location: between r8c3 and r8c4 - shape: circle, color: black, location: between r1c2 and r2c2 - shape: circle, color: black, location: between r1c8 and r2c8 - shape: circle, color: black, location: between r6c3 and r7c3 - shape: circle, color: black, location: between r6c7 and r7c7 - shape: circle, color: black, location: between r8c6 and r8c7
sxsm_Neokart_d5260b08ac3932463f0aa0e660e15106
Árbol
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nSlow thermometer: Digits along a thermometer either increase or stay the same from the bulb end.\n\nKropki Pairs: Digits joined by a white dot must be consecutive. Digits joined by a black dot must be in a 1:2 ratio. Not all possible dots are necesarilly given."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7 6 1 4 9 3 5 8 2 9 3 5 1 8 2 7 4 6 2 8 4 5 6 7 3 9 1 4 1 8 7 5 6 9 2 3 3 7 2 9 4 8 1 6 5 5 9 6 3 2 1 4 7 8 6 4 3 2 1 9 8 5 7 8 5 7 6 3 4 2 1 9 1 2 9 8 7 5 6 3 4
9
9
- line, color: burlywood, coords: r7c5 r6c6 r6c7 r5c8 - line, color: burlywood, coords: r7c5 r6c6 r6c7 r6c8 - line, color: burlywood, coords: r7c5 r6c4 r6c3 r5c2 - line, color: burlywood, coords: r7c5 r6c4 r6c3 r6c2 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c6 r4c7 r3c8 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c4 r4c3 r3c2 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c5 r3c6 r2c7 r1c8 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c5 r3c4 r2c3 r1c2 - line, color: burlywood, coords: r7c5 r6c5 r5c5 r4c5 r3c5 r2c5 r1c5 - line, color: burlywood, coords: r7c5 r8c5 r9c5 - line, color: burlywood, coords: r7c5 r8c5 r9c4 - line, color: burlywood, coords: r7c5 r8c5 r9c6 - line, color: burlywood, coords: r7c5 r8c5 r8c6 r9c7 - line, color: burlywood, coords: r7c5 r8c5 r8c4 r9c3 - shape: circle, color: burlywood, location: r7c5 - shape: circle, color: white (stroke color: black), location: between r6c5 and r6c6 - shape: circle, color: white (stroke color: black), location: between r6c4 and r6c5 - shape: circle, color: white (stroke color: black), location: between r3c5 and r3c6 - shape: circle, color: white (stroke color: black), location: between r3c4 and r3c5 - shape: circle, color: white (stroke color: black), location: between r8c3 and r8c4 - shape: circle, color: black, location: between r1c2 and r2c2 - shape: circle, color: black, location: between r1c8 and r2c8 - shape: circle, color: black, location: between r6c3 and r7c3 - shape: circle, color: black, location: between r6c7 and r7c7 - shape: circle, color: black, location: between r8c6 and r8c7
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_42
.................................................................................
978362415645871923123954786894716532761235849532498671419627358357189264286543197
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nFibonacci Lines: Blue lines strictly increase from one end to the other where any digit on the line beyond the lowest 2 digits is the sum of the previous 2 digits in the sequence." ### Visual Elements - line, color: skyblue, coords: r9c7 r8c7 r7c7 r7c8 r7c9 - line, color: skyblue, coords: r1c3 r2c3 r3c3 r3c2 r3c1 - line, color: skyblue, coords: r5c3 r5c4 r5c5 r5c6 r5c7 - line, color: skyblue, coords: r9c1 r8c1 r8c2 r9c2 - line, color: skyblue, coords: r1c8 r2c8 r2c9 r1c9 - line, color: skyblue, coords: r4c2 r5c2 r6c2 - line, color: skyblue, coords: r4c8 r5c8 r6c8 - line, color: skyblue, coords: r8c4 r8c5 r8c6 - line, color: skyblue, coords: r2c4 r2c5 r2c6 - line, color: skyblue, coords: r6c1 r7c1 r7c2 - line, color: skyblue, coords: r6c3 r6c4 r7c4
sxsm_MattTressel_2e7aeae3cb221bf7de68c12442fd5ede
Fibonacci Lines
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nFibonacci Lines: Blue lines strictly increase from one end to the other where any digit on the line beyond the lowest 2 digits is the sum of the previous 2 digits in the sequence."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9 7 8 3 6 2 4 1 5 6 4 5 8 7 1 9 2 3 1 2 3 9 5 4 7 8 6 8 9 4 7 1 6 5 3 2 7 6 1 2 3 5 8 4 9 5 3 2 4 9 8 6 7 1 4 1 9 6 2 7 3 5 8 3 5 7 1 8 9 2 6 4 2 8 6 5 4 3 1 9 7
9
9
- line, color: skyblue, coords: r9c7 r8c7 r7c7 r7c8 r7c9 - line, color: skyblue, coords: r1c3 r2c3 r3c3 r3c2 r3c1 - line, color: skyblue, coords: r5c3 r5c4 r5c5 r5c6 r5c7 - line, color: skyblue, coords: r9c1 r8c1 r8c2 r9c2 - line, color: skyblue, coords: r1c8 r2c8 r2c9 r1c9 - line, color: skyblue, coords: r4c2 r5c2 r6c2 - line, color: skyblue, coords: r4c8 r5c8 r6c8 - line, color: skyblue, coords: r8c4 r8c5 r8c6 - line, color: skyblue, coords: r2c4 r2c5 r2c6 - line, color: skyblue, coords: r6c1 r7c1 r7c2 - line, color: skyblue, coords: r6c3 r6c4 r7c4
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_43
.................................................................................
621398754793452186458716932582937641947681523136245897219573468865124379374869215
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nKiller Cages: Digits in a cage may not repeat and must sum to the given total.\n\nKropki Dots: Digits separated by a white dot must be consecutive. Digits separated by a black dot must have a ratio of 2:1 (i.e. one must be double the other)." ### Visual Elements - killer cage (value 15): r4c5 r5c5 r6c5 - killer cage (value 15): r4c2 r5c2 r6c2 - killer cage (value 15): r4c8 r5c8 r6c8 - killer cage (value 15): r8c3 r8c4 r8c5 r8c6 r8c7 - killer cage (value 15): r2c3 r2c4 r2c5 r2c6 r2c7 - killer cage (value 15): r1c1 r1c2 r2c1 - killer cage (value 15): r1c8 r1c9 r2c9 - killer cage (value 15): r3c3 r3c4 - killer cage (value 15): r3c6 r3c7 - killer cage (value 15): r7c4 r7c5 r7c6 - shape: circle, color: black, location: between r5c5 and r6c5 - shape: circle, color: black, location: between r4c2 and r5c2 - shape: circle, color: black, location: between r4c8 and r5c8 - shape: circle, color: black, location: between r8c4 and r8c5 - shape: circle, color: black, location: between r8c5 and r8c6 - shape: circle, color: white (stroke color: black), location: between r2c3 and r2c4 - shape: circle, color: white (stroke color: black), location: between r2c6 and r2c7 - shape: circle, color: white (stroke color: black), location: between r1c1 and r2c1 - shape: circle, color: white (stroke color: black), location: between r1c8 and r1c9 - shape: circle, color: white (stroke color: black), location: between r7c1 and r7c2 - shape: circle, color: white (stroke color: black), location: between r3c1 and r4c1 - shape: circle, color: white (stroke color: black), location: between r3c9 and r4c9
sxsm_ErinToler_e6cdeb1b18f48701649271cc2f2c5af4
\x0F
Each row, column, and 3×3 subgrid must contain all digits from 1 to 9 exactly once. Digits cannot be repeated within any row, column, or 3×3 subgrid. \n\nKiller Cages: Digits in a cage may not repeat and must sum to the given total.\n\nKropki Dots: Digits separated by a white dot must be consecutive. Digits separated by a black dot must have a ratio of 2:1 (i.e. one must be double the other)."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6 2 1 3 9 8 7 5 4 7 9 3 4 5 2 1 8 6 4 5 8 7 1 6 9 3 2 5 8 2 9 3 7 6 4 1 9 4 7 6 8 1 5 2 3 1 3 6 2 4 5 8 9 7 2 1 9 5 7 3 4 6 8 8 6 5 1 2 4 3 7 9 3 7 4 8 6 9 2 1 5
9
9
- killer cage (value 15): r4c5 r5c5 r6c5 - killer cage (value 15): r4c2 r5c2 r6c2 - killer cage (value 15): r4c8 r5c8 r6c8 - killer cage (value 15): r8c3 r8c4 r8c5 r8c6 r8c7 - killer cage (value 15): r2c3 r2c4 r2c5 r2c6 r2c7 - killer cage (value 15): r1c1 r1c2 r2c1 - killer cage (value 15): r1c8 r1c9 r2c9 - killer cage (value 15): r3c3 r3c4 - killer cage (value 15): r3c6 r3c7 - killer cage (value 15): r7c4 r7c5 r7c6 - shape: circle, color: black, location: between r5c5 and r6c5 - shape: circle, color: black, location: between r4c2 and r5c2 - shape: circle, color: black, location: between r4c8 and r5c8 - shape: circle, color: black, location: between r8c4 and r8c5 - shape: circle, color: black, location: between r8c5 and r8c6 - shape: circle, color: white (stroke color: black), location: between r2c3 and r2c4 - shape: circle, color: white (stroke color: black), location: between r2c6 and r2c7 - shape: circle, color: white (stroke color: black), location: between r1c1 and r2c1 - shape: circle, color: white (stroke color: black), location: between r1c8 and r1c9 - shape: circle, color: white (stroke color: black), location: between r7c1 and r7c2 - shape: circle, color: white (stroke color: black), location: between r3c1 and r4c1 - shape: circle, color: white (stroke color: black), location: between r3c9 and r4c9
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=
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_44
9........2......................2....3...........................................
918234765245178936173965482857312694639421857426793518381657249592846173764589321
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Every digit from 1 to 9 must appear once in every row, column and region. Each region must be determined and each is a set of nine orthogonally connected cells. A digit in a circle indicates the number of borders between regions it sees in its row and column. Note that the edge of the grid does not count toward this total. Not all possible circles are necessarily given." ### Visual Elements - shape: circle, color: white (stroke color: lightgray), location: r1c1 - shape: circle, color: white (stroke color: lightgray), location: r1c3 - shape: circle, color: white (stroke color: lightgray), location: r1c7 - shape: circle, color: white (stroke color: lightgray), location: r1c8 - shape: circle, color: white (stroke color: lightgray), location: r1c9 - shape: circle, color: white (stroke color: lightgray), location: r2c6 - shape: circle, color: white (stroke color: lightgray), location: r3c4 - shape: circle, color: white (stroke color: lightgray), location: r4c1 - shape: circle, color: white (stroke color: lightgray), location: r4c3 - shape: circle, color: white (stroke color: lightgray), location: r7c2 - shape: circle, color: white (stroke color: lightgray), location: r9c2 - shape: circle, color: white (stroke color: lightgray), location: r9c4 - shape: circle, color: white (stroke color: lightgray), location: r8c9 - shape: circle, color: white (stroke color: lightgray), location: r9c9 - shape: circle, color: white (stroke color: lightgray), location: r4c9 - shape: circle, color: white (stroke color: lightgray), location: r6c5 - The usual 3x3 sudoku regions do not appear in this puzzle.
fLtm97H9GD
Lighthouse
"Every digit from 1 to 9 must appear once in every row, column and region. Each region must be determined and each is a set of nine orthogonally connected cells. A digit in a circle indicates the number of borders between regions it sees in its row and column. Note that the edge of the grid does not count toward this total. Not all possible circles are necessarily given."
9 . . . . . . . . 2 . . . . . . . . . . . . . . . . . . . . . . 2 . . . . 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9 1 8 2 3 4 7 6 5 2 4 5 1 7 8 9 3 6 1 7 3 9 6 5 4 8 2 8 5 7 3 1 2 6 9 4 6 3 9 4 2 1 8 5 7 4 2 6 7 9 3 5 1 8 3 8 1 6 5 7 2 4 9 5 9 2 8 4 6 1 7 3 7 6 4 5 8 9 3 2 1
9
9
- shape: circle, color: white (stroke color: lightgray), location: r1c1 - shape: circle, color: white (stroke color: lightgray), location: r1c3 - shape: circle, color: white (stroke color: lightgray), location: r1c7 - shape: circle, color: white (stroke color: lightgray), location: r1c8 - shape: circle, color: white (stroke color: lightgray), location: r1c9 - shape: circle, color: white (stroke color: lightgray), location: r2c6 - shape: circle, color: white (stroke color: lightgray), location: r3c4 - shape: circle, color: white (stroke color: lightgray), location: r4c1 - shape: circle, color: white (stroke color: lightgray), location: r4c3 - shape: circle, color: white (stroke color: lightgray), location: r7c2 - shape: circle, color: white (stroke color: lightgray), location: r9c2 - shape: circle, color: white (stroke color: lightgray), location: r9c4 - shape: circle, color: white (stroke color: lightgray), location: r8c9 - shape: circle, color: white (stroke color: lightgray), location: r9c9 - shape: circle, color: white (stroke color: lightgray), location: r4c9 - shape: circle, color: white (stroke color: lightgray), location: r6c5 - The usual 3x3 sudoku regions do not appear in this puzzle.
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_45
....................................
143562625134452316316245261453534621
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 6x6 ### Rules Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid. \nEvery indicated diagonal has the same product." ### Visual Elements - diagonal arrow, color: black, in location: r0c4, pointing lower right - diagonal arrow, color: black, in location: r2c0, pointing lower right - diagonal arrow, color: black, in location: r6c0, pointing upper right - diagonal arrow, color: black, in location: r7c1, pointing upper right
sxsm_MichaelLefkowitz_8ab8aeb4b8e4966f12df37b3cf195e14
Cross Product
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid. \nEvery indicated diagonal has the same product."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1 4 3 5 6 2 6 2 5 1 3 4 4 5 2 3 1 6 3 1 6 2 4 5 2 6 1 4 5 3 5 3 4 6 2 1
6
6
- diagonal arrow, color: black, in location: r0c4, pointing lower right - diagonal arrow, color: black, in location: r2c0, pointing lower right - diagonal arrow, color: black, in location: r6c0, pointing upper right - diagonal arrow, color: black, in location: r7c1, pointing upper right
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_46
....................................
326541541362614235253614135426462153
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 6x6 ### Rules Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid. In the grid, there are 6 grey lines. Each grey line is either a German whisper (adjacent digits must differ by at least 3), a region sum line (digits must have an equal sum within each region it passes through), or a renban (consists of a set of (non-repeating) consecutive digits). The solver has to determine the nature of each line. However, there are exactly 2 lines of each type." ### Visual Elements - line, color: silver, coords: r6c1 r6c2 r6c3 r6c4 r6c5 r6c6 - line, color: silver, coords: r3c1 r2c2 r1c2 - line, color: silver, coords: r5c1 r4c2 r3c2 r3c3 - line, color: silver, coords: r5c6 r4c5 r3c5 r3c4 - line, color: silver, coords: r1c3 r2c4 r2c5 r2c6 - line, color: silver, coords: r5c3 r5c4 r4c4 r5c3
sxsm_pep9_92b0c509f8c94da4502812765e67155a
Guess Who?
Each row, column, and 2×3 subgrid must contain all digits from 1 to 6 exactly once. Digits cannot be repeated within any row, column, or 2×3 subgrid. In the grid, there are 6 grey lines. Each grey line is either a German whisper (adjacent digits must differ by at least 3), a region sum line (digits must have an equal sum within each region it passes through), or a renban (consists of a set of (non-repeating) consecutive digits). The solver has to determine the nature of each line. However, there are exactly 2 lines of each type."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 2 6 5 4 1 5 4 1 3 6 2 6 1 4 2 3 5 2 5 3 6 1 4 1 3 5 4 2 6 4 6 2 1 5 3
6
6
- line, color: silver, coords: r6c1 r6c2 r6c3 r6c4 r6c5 r6c6 - line, color: silver, coords: r3c1 r2c2 r1c2 - line, color: silver, coords: r5c1 r4c2 r3c2 r3c3 - line, color: silver, coords: r5c6 r4c5 r3c5 r3c4 - line, color: silver, coords: r1c3 r2c4 r2c5 r2c6 - line, color: silver, coords: r5c3 r5c4 r4c4 r5c3
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Complete the sudoku board based on the rules and visual elements.
sudoku_bench_47
....................................
264198198264826419419826982641641982
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 6x6 ### Rules "Select six different digits from the set 1-9. Use these six digits only to fill every cell such that a digit does not repeat in a row, column or box. Grey lines are entropic AND modular; i.e every 3-cell sequence on a line must contain a digit from {123}, one from {456} and {789}; also these digits must include one from {147}, one from {258} and one from {369}. Both indicated diagonals have the same sum. The inequality sign \u2018points' to the lower digit. Any 5 in the grid must have a 1 directly above it or a 9 directly below it (or both)." ### Visual Elements - line, color: silver, coords: r5c1 r4c1 r3c2 r2c2 - line, color: silver, coords: r5c2 r4c2 r3c3 r2c3 - line, color: silver, coords: r5c3 r4c3 r3c4 r2c4 - line, color: silver, coords: r5c4 r4c4 r3c5 r2c5 - line, color: silver, coords: r2c6 r3c6 r4c5 r5c5 - diagonal arrow, color: black, in location: r0c4, pointing lower left - diagonal arrow, color: black, in location: r0c1, pointing lower right - text: >, shape: circle, location: between r6c2 and r6c3
sxsm_ThePedallingPianist_b906847dc2e55bfd21bf34c9d41a9d93
Moving Day?
"Select six different digits from the set 1-9. Use these six digits only to fill every cell such that a digit does not repeat in a row, column or box. Grey lines are entropic AND modular; i.e every 3-cell sequence on a line must contain a digit from {123}, one from {456} and {789}; also these digits must include one from {147}, one from {258} and one from {369}. Both indicated diagonals have the same sum. The inequality sign \u2018points' to the lower digit. Any 5 in the grid must have a 1 directly above it or a 9 directly below it (or both)."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 6 4 1 9 8 1 9 8 2 6 4 8 2 6 4 1 9 4 1 9 8 2 6 9 8 2 6 4 1 6 4 1 9 8 2
6
6
- line, color: silver, coords: r5c1 r4c1 r3c2 r2c2 - line, color: silver, coords: r5c2 r4c2 r3c3 r2c3 - line, color: silver, coords: r5c3 r4c3 r3c4 r2c4 - line, color: silver, coords: r5c4 r4c4 r3c5 r2c5 - line, color: silver, coords: r2c6 r3c6 r4c5 r5c5 - diagonal arrow, color: black, in location: r0c4, pointing lower left - diagonal arrow, color: black, in location: r0c1, pointing lower right - text: >, shape: circle, location: between r6c2 and r6c3
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_48
.................................................................................
276413589845976132319285746964327815583691274127548963631759428498132657752864391
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Normal Sudoku rules apply (place the digits 1-9 once each in every box, row and column)\n\nAround Quad clues (white circles with digits in) each digit that appears must appear at least once in the cells that the quad touches.\n\nGreen Lines are both German Whispers AND palindromes.\n\nFor German Whispers each consequtive digit must differ by a value of at least 5. For palindromes the lines must read the same in both directions (for example 1234321)\n\nThe white dot must contain consequtive digits in the two cells it touches." ### Visual Elements - line, color: lightgreen, coords: r3c1 r4c1 r3c2 r3c3 r4c4 - line, color: lightgreen, coords: r1c4 r2c4 r3c4 r3c5 r4c5 r5c5 r6c5 - line, color: lightgreen, coords: r2c6 r2c7 r3c7 r4c8 r3c9 - line, color: lightgreen, coords: r5c7 r6c7 r7c7 r7c6 r8c6 - line, color: lightgreen, coords: r6c3 r7c3 r8c3 r9c3 r9c4 r8c4 r7c4 - shape: circle, color: white (stroke color: black), location: between r8c7 and r8c8 - text: 1 3 4 8, shape: circle, color: white (stroke color: black), location: at the corner of r2c1 r2c2 r3c1 r3c2 - text: 2 3 4 6, shape: circle, color: white (stroke color: black), location: at the corner of r2c8 r2c9 r3c8 r3c9 - text: 2 3 7 8, shape: circle, color: white (stroke color: black), location: at the corner of r5c2 r5c3 r6c2 r6c3 - text: 2 6 7 9, shape: circle, color: white (stroke color: black), location: at the corner of r5c7 r5c8 r6c7 r6c8 - text: 2 5 7 8, shape: circle, color: white (stroke color: black), location: at the corner of r7c8 r7c9 r8c8 r8c9 - text: 3 4 6 9, shape: circle, color: white (stroke color: black), location: at the corner of r7c1 r7c2 r8c1 r8c2
fpuzzle61c751d9d206fae5c7deae1035e9645c
Broken Paperclip
"Normal Sudoku rules apply (place the digits 1-9 once each in every box, row and column)\n\nAround Quad clues (white circles with digits in) each digit that appears must appear at least once in the cells that the quad touches.\n\nGreen Lines are both German Whispers AND palindromes.\n\nFor German Whispers each consequtive digit must differ by a value of at least 5. For palindromes the lines must read the same in both directions (for example 1234321)\n\nThe white dot must contain consequtive digits in the two cells it touches."
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 7 6 4 1 3 5 8 9 8 4 5 9 7 6 1 3 2 3 1 9 2 8 5 7 4 6 9 6 4 3 2 7 8 1 5 5 8 3 6 9 1 2 7 4 1 2 7 5 4 8 9 6 3 6 3 1 7 5 9 4 2 8 4 9 8 1 3 2 6 5 7 7 5 2 8 6 4 3 9 1
9
9
- line, color: lightgreen, coords: r3c1 r4c1 r3c2 r3c3 r4c4 - line, color: lightgreen, coords: r1c4 r2c4 r3c4 r3c5 r4c5 r5c5 r6c5 - line, color: lightgreen, coords: r2c6 r2c7 r3c7 r4c8 r3c9 - line, color: lightgreen, coords: r5c7 r6c7 r7c7 r7c6 r8c6 - line, color: lightgreen, coords: r6c3 r7c3 r8c3 r9c3 r9c4 r8c4 r7c4 - shape: circle, color: white (stroke color: black), location: between r8c7 and r8c8 - text: 1 3 4 8, shape: circle, color: white (stroke color: black), location: at the corner of r2c1 r2c2 r3c1 r3c2 - text: 2 3 4 6, shape: circle, color: white (stroke color: black), location: at the corner of r2c8 r2c9 r3c8 r3c9 - text: 2 3 7 8, shape: circle, color: white (stroke color: black), location: at the corner of r5c2 r5c3 r6c2 r6c3 - text: 2 6 7 9, shape: circle, color: white (stroke color: black), location: at the corner of r5c7 r5c8 r6c7 r6c8 - text: 2 5 7 8, shape: circle, color: white (stroke color: black), location: at the corner of r7c8 r7c9 r8c8 r8c9 - text: 3 4 6 9, shape: circle, color: white (stroke color: black), location: at the corner of r7c1 r7c2 r8c1 r8c2
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
Complete the sudoku board based on the rules and visual elements.
sudoku_bench_49
4.......8...............................................................1.......3
417295638962387541538461279396852417721634985854719362673928154285143796149576823
### Available Actions: 1. Value Setting - Format: `value(N, rXcY)` - Description - Set a definitive value in a specific cell - N is a number between 1-9 - Example: `value(5, r4c3)` -> Set the value 5 in row 4, column 3 2. Candidate Management - Format: `candidate(OPERATION, CANDIDATE_NUMBER, rXcY)` - Description: - Add or remove candidate numbers from a specific cell when there are multiple possible values for the cell. - CANDIDATE_NUMBER is a number between 1-9 - Operations: - `+`: Add candidate - `-`: Remove candidate - Examples: - `candidate('+', 2, r2c4)` -> Add candidate 2 to row 2, column 4 - `candidate('-', 2, r3c1)` -> Remove candidate 2 from row 3, column 1 3. Color Management - Format: `color(OPERATION, COLOR_NUMBER, rXcY)` - Description: - Before placing any numbers, assign colors with meaningful roles to visually track constraints across the board. - Colors do not represent values but serve as labels for assumptions, groups, or complementary relationships. - COLOR_NUMBER is a number between 0-9 - Operations: - `+`: Add color - `-`: Remove color - Examples: - `color('+', 2, r2c4)` -> Add color 2 to row 2, column 4 - `color('-', 2, r3c1)` -> Remove color 2 from row 3, column 1 4. Clear Operations - Format: `clear(K, rXcY)` - Description: - Clear cell contents - Clear Types: - `0`: Clear only the definitive value - Examples: - `clear(0, r1c1)` -> Clear the definitive value in row 1, column 1 ### Goal Complete the sudoku board based on the rules and visual elements. ### Size 9x9 ### Rules "Normal sudoku rules apply: Place the digits 1-9 once each in every row, column, and 3x3 box.\n\nGerman Whispers: Adjacent digits along a green line must have a difference of at least 5.\n\nRenbans: Digits along a pink line must form a set of consecutive digits in any order, without repetition.\n\nSlow Thermos: Digits along a gray thermometer must generally increase from bulb to tip. Digits may remain the same when allowed by other rules, but may never decrease." ### Visual Elements - line, color: silver, coords: r4c1 r3c2 r3c3 r4c4 - line, color: silver, coords: r4c6 r3c7 r3c8 r4c9 - line, color: silver, coords: r7c5 r8c5 r9c4 - line, color: silver, coords: r7c5 r8c5 r9c6 - line, color: lawngreen, coords: r2c1 r3c2 r3c3 r2c4 - line, color: lawngreen, coords: r2c6 r3c7 r3c8 r2c9 - line, color: lawngreen, coords: r4c2 r5c2 - line, color: lawngreen, coords: r4c3 r5c3 - line, color: lawngreen, coords: r4c7 r5c7 - line, color: lawngreen, coords: r4c8 r5c8 - line, color: lawngreen, coords: r6c3 r7c4 r7c5 r7c6 r6c7 - line, color: lawngreen, coords: r7c5 r7c4 r7c3 r8c2 - line, color: lawngreen, coords: r7c5 r7c6 r7c7 r8c8 - line, color: violet, coords: r4c1 r5c1 r6c2 r6c3 r5c4 r4c4 - line, color: violet, coords: r4c6 r5c6 r6c7 r6c8 r5c9 r4c9 - shape: circle, color: silver, location: r4c1 - shape: circle, color: silver, location: r4c6 - shape: circle, color: silver, location: r7c5
fpuzzle708593231d1413d3631774cf9d4735b7
The Two Headed Martian
"Normal sudoku rules apply: Place the digits 1-9 once each in every row, column, and 3x3 box.\n\nGerman Whispers: Adjacent digits along a green line must have a difference of at least 5.\n\nRenbans: Digits along a pink line must form a set of consecutive digits in any order, without repetition.\n\nSlow Thermos: Digits along a gray thermometer must generally increase from bulb to tip. Digits may remain the same when allowed by other rules, but may never decrease."
4 . . . . . . . 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . 3
4 1 7 2 9 5 6 3 8 9 6 2 3 8 7 5 4 1 5 3 8 4 6 1 2 7 9 3 9 6 8 5 2 4 1 7 7 2 1 6 3 4 9 8 5 8 5 4 7 1 9 3 6 2 6 7 3 9 2 8 1 5 4 2 8 5 1 4 3 7 9 6 1 4 9 5 7 6 8 2 3
9
9
- line, color: silver, coords: r4c1 r3c2 r3c3 r4c4 - line, color: silver, coords: r4c6 r3c7 r3c8 r4c9 - line, color: silver, coords: r7c5 r8c5 r9c4 - line, color: silver, coords: r7c5 r8c5 r9c6 - line, color: lawngreen, coords: r2c1 r3c2 r3c3 r2c4 - line, color: lawngreen, coords: r2c6 r3c7 r3c8 r2c9 - line, color: lawngreen, coords: r4c2 r5c2 - line, color: lawngreen, coords: r4c3 r5c3 - line, color: lawngreen, coords: r4c7 r5c7 - line, color: lawngreen, coords: r4c8 r5c8 - line, color: lawngreen, coords: r6c3 r7c4 r7c5 r7c6 r6c7 - line, color: lawngreen, coords: r7c5 r7c4 r7c3 r8c2 - line, color: lawngreen, coords: r7c5 r7c6 r7c7 r8c8 - line, color: violet, coords: r4c1 r5c1 r6c2 r6c3 r5c4 r4c4 - line, color: violet, coords: r4c6 r5c6 r6c7 r6c8 r5c9 r4c9 - shape: circle, color: silver, location: r4c1 - shape: circle, color: silver, location: r4c6 - shape: circle, color: silver, location: r7c5
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Complete the sudoku board based on the rules and visual elements.