LangAGI-Lab/Sudoku-Bench · Datasets at Hugging Face

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_0	4....715.1.86....93.7........6.45..89...386....37....1.....69.4...5..7......72...	469827153128653479357914286716245398945138627283769541572386914834591762691472835	### 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 0	puzzles1_unbiased	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....715.1.86....93.7........6.45..89...386....37....1.....69.4...5..7......72...	469827153128653479357914286716245398945138627283769541572386914834591762691472835	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_1	.8...5...9.7.......42.81....1..64...5.4.7........2...76.....78........45...3.72..	186735924957246138342981576713564892524879613869123457635412789271698345498357261	### 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 1	puzzles1_unbiased	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...9.7.......42.81....1..64...5.4.7........2...76.....78........45...3.72..	186735924957246138342981576713564892524879613869123457635412789271698345498357261	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_2	78...6....9.32..4............3....2......1...6....8.....24..........7..8........1	785146392196325847234879615853794126927631584641258973512483769469517238378962451	### 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 2	puzzles2_17_clue	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.	78...6....9.32..4............3....2......1...6....8.....24..........7..8........1	785146392196325847234879615853794126927631584641258973512483769469517238378962451	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_3	...9.2.....4...3......65..2....1...5.9.2...8..68...2.48.....7.1.76.5....91..2..6.	581932476624187359739465812247318695395246187168579234852693741476851923913724568	### 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 3	puzzles1_unbiased	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.	...9.2.....4...3......65..2....1...5.9.2...8..68...2.48.....7.1.76.5....91..2..6.	581932476624187359739465812247318695395246187168579234852693741476851923913724568	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_4	..1.4...6..5.....2...7..58..74..16....6..4..55....7.191....23..4..1.8....3.6.....	781245936695813742243796581974581623316924875528367419167452398459138267832679154	### 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 4	puzzles1_unbiased	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.	..1.4...6..5.....2...7..58..74..16....6..4..55....7.191....23..4..1.8....3.6.....	781245936695813742243796581974581623316924875528367419167452398459138267832679154	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_5	4..2.3.6.7....89.491..........6.92............3....548....65.....1...3.....3..682	458293761726158934913476825145689273287534196639721548372865419861942357594317682	### 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 5	puzzles1_unbiased	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..2.3.6.7....89.491..........6.92............3....548....65.....1...3.....3..682	458293761726158934913476825145689273287534196639721548372865419861942357594317682	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_6	......4....47.5..8....49...1..5.6.2..5719.8...2....7....9...1........586.1.6.829.	792861435634725918581349672148576329357192864926483751869257143273914586415638297	### 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 6	puzzles1_unbiased	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....47.5..8....49...1..5.6.2..5719.8...2....7....9...1........586.1.6.829.	792861435634725918581349672148576329357192864926483751869257143273914586415638297	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_7	6.78....41.3...7......1...3..9....2...6.28....8.15.......47...57.1....38..2....9.	697832154143695782825714963519347826376928541284156379968473215751269438432581697	### 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 7	puzzles1_unbiased	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.	6.78....41.3...7......1...3..9....2...6.28....8.15.......47...57.1....38..2....9.	697832154143695782825714963519347826376928541284156379968473215751269438432581697	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_8	4....1.42.4.....	4213312423411432	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 8	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	4....1.42.4.....	4213312423411432	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_9	..1....223...4..	3214413223411423	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 9	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	..1....223...4..	3214413223411423	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_10	..724..........91.......5......7...213.......9...5....6..3.1.....8.....5.........	517249683286735914493816527865174392134982756972653841659321478328497165741568239	### 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 10	puzzles2_17_clue	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.	..724..........91.......5......7...213.......9...5....6..3.1.....8.....5.........	517249683286735914493816527865174392134982756972653841659321478328497165741568239	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_11	63.............76.4....8...8..5......5.36...476..4.93....7..1.......5.7.5.8.2.4..	637219548289453761415678329843592617951367284762841935396784152124935876578126493	### 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 11	puzzles1_unbiased	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.	63.............76.4....8...8..5......5.36...476..4.93....7..1.......5.7.5.8.2.4..	637219548289453761415678329843592617951367284762841935396784152124935876578126493	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_12	.245..3....9.3......1...6.83...9..7..4..5...9....6.4...8.4....6....1......76..51.	624587391859136247731942658316294875248753169975861432183475926562319784497628513	### 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 12	puzzles1_unbiased	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.	.245..3....9.3......1...6.83...9..7..4..5...9....6.4...8.4....6....1......76..51.	624587391859136247731942658316294875248753169975861432183475926562319784497628513	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_13	.57....94.1..7965.9....5.....5.3..6.32...1......29....79..2..........37...2.1...6	857362194213479658964185723145738269329651847678294531796823415581946372432517986	### 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 13	puzzles1_unbiased	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.	.57....94.1..7965.9....5.....5.3..6.32...1......29....79..2..........37...2.1...6	857362194213479658964185723145738269329651847678294531796823415581946372432517986	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_14	7....8.6...69....83.1...2...29..4...6...2..74..7...........9..6...63..2.8...5..4.	794218365256973418381546297529764183618325974437891652172489536945637821863152749	### 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 14	puzzles1_unbiased	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....8.6...69....83.1...2...29..4...6...2..74..7...........9..6...63..2.8...5..4.	794218365256973418381546297529764183618325974437891652172489536945637821863152749	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_15	....6......6.3.2.9.2..1.35.7.....5..843.......9.3....4.8....193.3.8.74.........7.	319265748576438219428719356762984531843651927195372684287546193931827465654193872	### 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 15	puzzles1_unbiased	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......6.3.2.9.2..1.35.7.....5..843.......9.3....4.8....193.3.8.74.........7.	319265748576438219428719356762984531843651927195372684287546193931827465654193872	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_16	.43.........2.41	1432321441232341	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 16	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	.43.........2.41	1432321441232341	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_17	..76.28..9.....1......3..6418.9...7.6......58............5.4..981...35.2..9......	437612895968457123251839764183945276624371958795268431372584619816793542549126387	### 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 17	puzzles1_unbiased	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.	..76.28..9.....1......3..6418.9...7.6......58............5.4..981...35.2..9......	437612895968457123251839764183945276624371958795268431372584619816793542549126387	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_18	2.5....6....9...7...63.58946.8.4...2......5....471.9.8.5..931..1..28...3..7..46..	295478361843961275716325894638549712971832546524716938452693187169287453387154629	### 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 18	puzzles0_kaggle	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.	2.5....6....9...7...63.58946.8.4...2......5....471.9.8.5..931..1..28...3..7..46..	295478361843961275716325894638549712971832546524716938452693187169287453387154629	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_19	.7....9...2...1...5..3.7.16.....5.2.1469.3...9...........75.6......1.3.88....9.7.	471286935623591784598347216387165429146923857952874163239758641765412398814639572	### 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 19	puzzles1_unbiased	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...2...1...5..3.7.16.....5.2.1469.3...9...........75.6......1.3.88....9.7.	471286935623591784598347216387165429146923857952874163239758641765412398814639572	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_20	.263..457...94..3.3...768..1.2..9....5....1.4.6...5...............2.3.8...81....3	926381457587942631314576829142739568753628194869415372235894716471263985698157243	### 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 20	puzzles1_unbiased	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.	.263..457...94..3.3...768..1.2..9....5....1.4.6...5...............2.3.8...81....3	926381457587942631314576829142739568753628194869415372235894716471263985698157243	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_21	...6..2..489....1..7..9..8.5..........2.....4..7.1..98.6...2..7.....1..2..1.7..3.	153648279489527613276193485594836721812759364637214598365982147748361952921475836	### 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 21	puzzles1_unbiased	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..489....1..7..9..8.5..........2.....4..7.1..98.6...2..7.....1..2..1.7..3.	153648279489527613276193485594836721812759364637214598365982147748361952921475836	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_22	4.3......12...13	4231134231242413	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 22	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	4.3......12...13	4231134231242413	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_23	..1..7.........9....8.6...339.......4............7..5...7....1..5..2.......9....4	531897246764213985928465173395142867472586391816379452247638519159724638683951724	### 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 23	puzzles2_17_clue	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.........9....8.6...339.......4............7..5...7....1..5..2.......9....4	531897246764213985928465173395142867472586391816379452247638519159724638683951724	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_24	.65.....7.4..9...27.2..........564...5.8...16...3.29...9...5.4.8....1.6...1...7..	965428137348197652712563894137956428259874316486312975693785241874231569521649783	### 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 24	puzzles1_unbiased	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.	.65.....7.4..9...27.2..........564...5.8...16...3.29...9...5.4.8....1.6...1...7..	965428137348197652712563894137956428259874316486312975693785241874231569521649783	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_25	...6.3.8....7....5..694..7..283.....1.3...4.2.7.52...1.1...896.5.4..73...62....17	745613289931782645286945173428391756153876492679524831317258964594167328862439517	### 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 25	puzzles0_kaggle	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.	...6.3.8....7....5..694..7..283.....1.3...4.2.7.52...1.1...896.5.4..73...62....17	745613289931782645286945173428391756153876492679524831317258964594167328862439517	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_26	.8..5...3.41.......63.8.5.1.3.7.5.8....8..6..12.9.......5..94.7...541...2........	782156943541293768963487521639715284457832619128964375815629437376541892294378156	### 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 26	puzzles1_unbiased	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...3.41.......63.8.5.1.3.7.5.8....8..6..12.9.......5..94.7...541...2........	782156943541293768963487521639715284457832619128964375815629437376541892294378156	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_27	1.96...2.....8.....5.2...1.243..6...9..3.5.........7.4.......59.651.8.7......36..	179654823324781965658239417243876591917345286586912734832467159465198372791523648	### 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 27	puzzles1_unbiased	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.	1.96...2.....8.....5.2...1.243..6...9..3.5.........7.4.......59.651.8.7......36..	179654823324781965658239417243876591917345286586912734832467159465198372791523648	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_28	69.5....2....32...34.......7....182.1....83.6...........8.93.7..2.....4.....5...3	691584732875132964342679158736941825154728396289365417468293571523817649917456283	### 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 28	puzzles1_unbiased	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.	69.5....2....32...34.......7....182.1....83.6...........8.93.7..2.....4.....5...3	691584732875132964342679158736941825154728396289365417468293571523817649917456283	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_29	1...7.......6....27..8.9.5......7..3.6..8..9..1......7..5...9...79..3..4.2...56..	156372849983654712742819356298547163367281495514936287635428971879163524421795638	### 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 29	puzzles1_unbiased	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.......6....27..8.9.5......7..3.6..8..9..1......7..5...9...79..3..4.2...56..	156372849983654712742819356298547163367281495514936287635428971879163524421795638	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_30	..28.6597......1..9.....6..8.7..2...65..4...1..1...4............6..8.2..5..927...	412836597386579142975214683847192365653748921291653478128465739769381254534927816	### 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 30	puzzles1_unbiased	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.	..28.6597......1..9.....6..8.7..2...65..4...1..1...4............6..8.2..5..927...	412836597386579142975214683847192365653748921291653478128465739769381254534927816	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_31	2...4.....32...1	2314412314323241	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 31	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	2...4.....32...1	2314412314323241	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_32	.....6.....513.....9.....31.....971.8712..9......8...2..4.7......38.2....8...32.7	317596824245138679698427531452369718871254963936781452124975386763842195589613247	### 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 32	puzzles1_unbiased	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.....513.....9.....31.....971.8712..9......8...2..4.7......38.2....8...32.7	317596824245138679698427531452369718871254963936781452124975386763842195589613247	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_33	....4...92.6.1....931....7....4.5....1982....324........3...7.61.....5...5....231	785643129246719385931582674678435912519827463324196857893251746162374598457968231	### 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 33	puzzles1_unbiased	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...92.6.1....931....7....4.5....1982....324........3...7.61.....5...5....231	785643129246719385931582674678435912519827463324196857893251746162374598457968231	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_34	9..........2.4.6.1....13.2...9...5...87..9.16.2.8.5.....82...6..6...4.7...4.7....	916752834372948651845613729639127548587439216421865397758291463163584972294376185	### 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 34	puzzles1_unbiased	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..........2.4.6.1....13.2...9...5...87..9.16.2.8.5.....82...6..6...4.7...4.7....	916752834372948651845613729639127548587439216421865397758291463163584972294376185	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_35	..7..14...6...2......98......3....85...2.....51.4..7..1.....5.22...93.6...9.....7	987651423461372958325984176643719285798235614512468739136847592274593861859126347	### 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 35	puzzles1_unbiased	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..14...6...2......98......3....85...2.....51.4..7..1.....5.22...93.6...9.....7	987651423461372958325984176643719285798235614512468739136847592274593861859126347	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_36	9....65.....83.92..24....6.7...1.8........1..8......39....61...17.2......53..76..	938426517617835924524179368792314856365798142841652739489561273176283495253947681	### 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 36	puzzles1_unbiased	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....65.....83.92..24....6.7...1.8........1..8......39....61...17.2......53..76..	938426517617835924524179368792314856365798142841652739489561273176283495253947681	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_37	..7.5.1.9..2.16......7..42..8.4..3.5.7..8.21........9.4.1563.............9...2.3.	637254189842916753915738426289471365573689214164325897421563978358197642796842531	### 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 37	puzzles1_unbiased	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.	..7.5.1.9..2.16......7..42..8.4..3.5.7..8.21........9.4.1563.............9...2.3.	637254189842916753915738426289471365573689214164325897421563978358197642796842531	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_38	4.3.3.....4.1...	4132321423411423	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 38	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	4.3.3.....4.1...	4132321423411423	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_39	.5...61.2.81.5..6.92.....3..3.....5.2.9.1.34......4...8...4...5..5.2.9..........7	457386192381259764926471538134762859279815346568934271893147625745628913612593487	### 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 39	puzzles1_unbiased	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...61.2.81.5..6.92.....3..3.....5.2.9.1.34......4...8...4...5..5.2.9..........7	457386192381259764926471538134762859279815346568934271893147625745628913612593487	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_40	...4..2..........71.4.5.9..8.51...6.9.7..3.....6.891.5.3.........8...4.1..9..16..	583497216692318547174652983825174369917563824346289175431926758268735491759841632	### 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 40	puzzles1_unbiased	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..2..........71.4.5.9..8.51...6.9.7..3.....6.891.5.3.........8...4.1..9..16..	583497216692318547174652983825174369917563824346289175431926758268735491759841632	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_41	....5.79....4.2....2.71.35..........7.6.2....38...4..1..1.9.2....9....67...54..18	413856792975432186628719354154378629796125843382964571841697235539281467267543918	### 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 41	puzzles1_unbiased	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.	....5.79....4.2....2.71.35..........7.6.2....38...4..1..1.9.2....9....67...54..18	413856792975432186628719354154378629796125843382964571841697235539281467267543918	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_42	......5...564...7...1....9..7..8...45..9.13.....6....5..8.......9.1..2.3.43..5..9	427819536956432178831756492672583914584921367319647825268394751795168243143275689	### 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 42	puzzles1_unbiased	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...564...7...1....9..7..8...45..9.13.....6....5..8.......9.1..2.3.43..5..9	427819536956432178831756492672583914584921367319647825268394751795168243143275689	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_43	.......22.1.3..4	4231134224133124	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 43	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	.......22.1.3..4	4231134224133124	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_44	..1..1.3...4.3..	3412214312344321	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 44	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	..1..1.3...4.3..	3412214312344321	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_45	..9..6...84.....9..65.9...8..........32.5.8..4..12.3.65..6.1.79...4..........51..	219846735843517692765293418158364927632759841497128356584631279971482563326975184	### 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 45	puzzles1_unbiased	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...84.....9..65.9...8..........32.5.8..4..12.3.65..6.1.79...4..........51..	219846735843517692765293418158364927632759841497128356584631279971482563326975184	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_46	..6.28.7558.7.......21..3..75..1..42.....3..61...7....6.5.......2.4......1..652..	346928175581736924972154368753619842298543716164872539635287491827491653419365287	### 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 46	puzzles1_unbiased	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.	..6.28.7558.7.......21..3..75..1..42.....3..61...7....6.5.......2.4......1..652..	346928175581736924972154368753619842298543716164872539635287491827491653419365287	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_47	.2.....4..3....1	4213312414322341	### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None	Basic 4x4 Sudoku 47	sudoku_random_4x4	Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.	.2.....4..3....1	4213312414322341	4	4	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_48	....93.768...7..........5.4..3.5...9.4.9.2..1...7..42.3...6..1.........56.8...3..	425893176861475932937621584283154769746932851519786423394567218172348695658219347	### 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 48	puzzles1_unbiased	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.	....93.768...7..........5.4..3.5...9.4.9.2..1...7..42.3...6..1.........56.8...3..	425893176861475932937621584283154769746932851519786423394567218172348695658219347	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_49	....32.1..4...1......7..9...1....7.5..7....3653....19.16.....4.85.39....2.....3..	695832417742951683381764952916483725427519836538627194163278549854396271279145368	### 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 49	puzzles1_unbiased	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.	....32.1..4...1......7..9...1....7.5..7....3653....19.16.....4.85.39....2.....3..	695832417742951683381764952916483725427519836538627194163278549854396271279145368	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_50	.6...1...4..7...3...2.5....7..9....8.....24....1....9...6....878..3..9...5......3	569431872418729635372658149745916328693872451281543796136294587827365914954187263	### 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 50	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..7...3...2.5....7..9....8.....24....1....9...6....878..3..9...5......3	569431872418729635372658149745916328693872451281543796136294587827365914954187263	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_51	7....52...6.1.......4.9....5....167...1......6....2.8.......72.8....7..6.3....85.	718465239962173548354298167583941672421786395679532481196854723845327916237619854	### 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 51	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....52...6.1.......4.9....5....167...1......6....2.8.......72.8....7..6.3....85.	718465239962173548354298167583941672421786395679532481196854723845327916237619854	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_52	.5....1..2.......3.97....6...56..7......4...83....2.....61..5...1.9.........8...4	653897142281456973497321865945638721162749358378512496826174539514963287739285614	### 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 52	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..2.......3.97....6...56..7......4...83....2.....61..5...1.9.........8...4	653897142281456973497321865945638721162749358378512496826174539514963287739285614	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_53	64.2....3..3.8.1.....3....5.....2.1......52.9.8....3.....91......5..38..1....8.92	649251783573489126821376945356792418714835269982164357268917534495623871137548692	### 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 53	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.	64.2....3..3.8.1.....3....5.....2.1......52.9.8....3.....91......5..38..1....8.92	649251783573489126821376945356792418714835269982164357268917534495623871137548692	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_54	..7.4...92....54...4.1...7....3...6..5..9.1....6..1..83..5.......4..8.5..2..1.7..	167842539238975416549163872712384965853296147496751328381527694974638251625419783	### 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 54	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.	..7.4...92....54...4.1...7....3...6..5..9.1....6..1..83..5.......4..8.5..2..1.7..	167842539238975416549163872712384965853296147496751328381527694974638251625419783	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_55	..9.6..7..8...3......4..5...2....19...6.7...53.....76..4.......2..8...5...5.9.6..	419568273587923416632417589728635194196274835354189762941756328263841957875392641	### 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 55	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.	..9.6..7..8...3......4..5...2....19...6.7...53.....76..4.......2..8...5...5.9.6..	419568273587923416632417589728635194196274835354189762941756328263841957875392641	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_56	.7...48...4.1..5....193.....8...27..6.7.1......4....1..1.2....7..8.....54..8..1..	379524861842176539561938472183652794697413258254789613916245387728361945435897126	### 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 56	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...48...4.1..5....193.....8...27..6.7.1......4....1..1.2....7..8.....54..8..1..	379524861842176539561938472183652794697413258254789613916245387728361945435897126	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_57	..4..3.1.9..2..3...35.....76....42..........1..7....8..5.6.2...4...3.6.....4.9..8	864753912971268354235941867683174295542896731197325486759682143418537629326419578	### 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 57	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..3.1.9..2..3...35.....76....42..........1..7....8..5.6.2...4...3.6.....4.9..8	864753912971268354235941867683174295542896731197325486759682143418537629326419578	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_58	..2.1..9....5..3.......2..6..4..75..1....3....2..9..8..4...6....987.....2...8..4.	372618495461579328859342176934867512187253964526491783745126839698734251213985647	### 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 58	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.	..2.1..9....5..3.......2..6..4..75..1....3....2..9..8..4...6....987.....2...8..4.	372618495461579328859342176934867512187253964526491783745126839698734251213985647	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_59	.7......3..5.9..6.1....4...3....72....9.2..8..4.1.....5......2.....5.6.9..6...5.8	672518943485293167193674852351847296769325481248169735517986324834752619926431578	### 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 59	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..5.9..6.1....4...3....72....9.2..8..4.1.....5......2.....5.6.9..6...5.8	672518943485293167193674852351847296769325481248169735517986324834752619926431578	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_60	23.6....8..4.83......5.2..4.8..5..6.3.........6..2.19.54..6......38.46....6......	235649718194783526678512934982451367351976842467328195549167283723894651816235479	### 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 60	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.	23.6....8..4.83......5.2..4.8..5..6.3.........6..2.19.54..6......38.46....6......	235649718194783526678512934982451367351976842467328195549167283723894651816235479	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_61	7..8.......8..4.1..6....3.8.....3......12..4...264...35.6..2.3...3..196..9....5..	719836425328574619465219378684793251937125846152648793546982137873451962291367584	### 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 61	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..8.......8..4.1..6....3.8.....3......12..4...264...35.6..2.3...3..196..9....5..	719836425328574619465219378684793251937125846152648793546982137873451962291367584	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_62	..9.8...16..9.23........4...6..27.....28....75....1...4..........1.785.4..6..9..2	349586721617942385285713496864327159192854637573691248428165973931278564756439812	### 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 62	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.	..9.8...16..9.23........4...6..27.....28....75....1...4..........1.785.4..6..9..2	349586721617942385285713496864327159192854637573691248428165973931278564756439812	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_63	9.17.4.8..421...7..8..2......4..1.2.2...4.8...1......6.....75...3.9.......8.1..9.	961734285542198673783526419894651327276349851315872946129467538437985162658213794	### 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 63	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.	9.17.4.8..421...7..8..2......4..1.2.2...4.8...1......6.....75...3.9.......8.1..9.	961734285542198673783526419894651327276349851315872946129467538437985162658213794	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_64	3....6.5...81....3.7....9.14....8.6.......2....9.2...7..586..3.8..34.........5...	312976458948152673576483921427538169683719245159624387295861734861347592734295816	### 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 64	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....6.5...81....3.7....9.14....8.6.......2....9.2...7..586..3.8..34.........5...	312976458948152673576483921427538169683719245159624387295861734861347592734295816	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_65	2..4...9....2.85.3.8..59...8......2..5...3..7....8..513.9..52..5..34.....48.9....	265437198794218563183659472837561924451923687926784351319875246572346819648192735	### 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 65	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...9....2.85.3.8..59...8......2..5...3..7....8..513.9..52..5..34.....48.9....	265437198794218563183659472837561924451923687926784351319875246572346819648192735	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_66	.2.....8.35...6..9....5....56..9...11.2..59....4....7.....13.......691..61.5....3	926341785357826419481957362563794821172685934894132576745213698238469157619578243	### 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 66	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.....8.35...6..9....5....56..9...11.2..59....4....7.....13.......691..61.5....3	926341785357826419481957362563794821172685934894132576745213698238469157619578243	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_67	65...4.....38.......4.351...68.1......1.5...4...3..6...3..8.97.8..6..4...1.......	652194837173862549984735126568417293321956784749328651436281975895673412217549368	### 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 67	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.	65...4.....38.......4.351...68.1......1.5...4...3..6...3..8.97.8..6..4...1.......	652194837173862549984735126568417293321956784749328651436281975895673412217549368	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_68	..4.2....3..5...9...8.....1.368......85..9.6.9...........917.5.......7..6..3...8.	794128635321564897568793421436851972185279364972436518843917256219685743657342189	### 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 68	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.	..4.2....3..5...9...8.....1.368......85..9.6.9...........917.5.......7..6..3...8.	794128635321564897568793421436851972185279364972436518843917256219685743657342189	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_69	1...5..3.......2...9...61...4..1......16.5.4.6..3.....3...4..18..87.1...4...6..5.	186257439734198265295436187843912576921675843657384921372549618568721394419863752	### 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 69	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...5..3.......2...9...61...4..1......16.5.4.6..3.....3...4..18..87.1...4...6..5.	186257439734198265295436187843912576921675843657384921372549618568721394419863752	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_70	.2..9...58....1.........7...6..3..9835..8...2..84......3.....5.6...5.2.....9.3..6	723894615846571923519362784461237598357689142298415367932746851674158239185923476	### 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 70	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..9...58....1.........7...6..3..9835..8...2..84......3.....5.6...5.2.....9.3..6	723894615846571923519362784461237598357689142298415367932746851674158239185923476	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_71	..8.9...13..6..9......7..53..1.....86..9..4...74.3..9...6.......4.5...2.2...4.3..	758392641312654987469871253921467538635918472874235196596723814143586729287149365	### 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 71	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...13..6..9......7..53..1.....86..9..4...74.3..9...6.......4.5...2.2...4.3..	758392641312654987469871253921467538635918472874235196596723814143586729287149365	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_72	52....9..6.1..53.2...6.........6.71.........8..28.7....571.6...18.72...52.6......	523418967641975382978632154895264713764391528312857496457186239189723645236549871	### 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 72	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.	52....9..6.1..53.2...6.........6.71.........8..28.7....571.6...18.72...52.6......	523418967641975382978632154895264713764391528312857496457186239189723645236549871	9	9	None	None	Complete the sudoku board based on the rules and visual elements.
normal_sudoku_73	...6.35.2..2.5.....5.4....3..........4..6.3.11.8.........7.92...2..4.7.64.7....1.	974613582382957164651482973293174658745268391168395427816739245529841736437526819	### 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 73	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.	...6.35.2..2.5.....5.4....3..........4..6.3.11.8.........7.92...2..4.7.64.7....1.	974613582382957164651482973293174658745268391168395427816739245529841736437526819	9	9	None	None	Complete the sudoku board based on the rules and visual elements.

normal_sudoku_0

4....715.1.86....93.7........6.45..89...386....37....1.....69.4...5..7......72...

469827153128653479357914286716245398945138627283769541572386914834591762691472835

### 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 0

puzzles1_unbiased

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....715.1.86....93.7........6.45..89...386....37....1.....69.4...5..7......72...

469827153128653479357914286716245398945138627283769541572386914834591762691472835

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_1

.8...5...9.7.......42.81....1..64...5.4.7........2...76.....78........45...3.72..

186735924957246138342981576713564892524879613869123457635412789271698345498357261

### 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 1

puzzles1_unbiased

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...9.7.......42.81....1..64...5.4.7........2...76.....78........45...3.72..

186735924957246138342981576713564892524879613869123457635412789271698345498357261

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_2

78...6....9.32..4............3....2......1...6....8.....24..........7..8........1

785146392196325847234879615853794126927631584641258973512483769469517238378962451

### 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 2

puzzles2_17_clue

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.

78...6....9.32..4............3....2......1...6....8.....24..........7..8........1

785146392196325847234879615853794126927631584641258973512483769469517238378962451

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_3

...9.2.....4...3......65..2....1...5.9.2...8..68...2.48.....7.1.76.5....91..2..6.

581932476624187359739465812247318695395246187168579234852693741476851923913724568

### 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 3

puzzles1_unbiased

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.

...9.2.....4...3......65..2....1...5.9.2...8..68...2.48.....7.1.76.5....91..2..6.

581932476624187359739465812247318695395246187168579234852693741476851923913724568

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_4

..1.4...6..5.....2...7..58..74..16....6..4..55....7.191....23..4..1.8....3.6.....

781245936695813742243796581974581623316924875528367419167452398459138267832679154

### 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 4

puzzles1_unbiased

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.

..1.4...6..5.....2...7..58..74..16....6..4..55....7.191....23..4..1.8....3.6.....

781245936695813742243796581974581623316924875528367419167452398459138267832679154

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_5

4..2.3.6.7....89.491..........6.92............3....548....65.....1...3.....3..682

458293761726158934913476825145689273287534196639721548372865419861942357594317682

### 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 5

puzzles1_unbiased

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..2.3.6.7....89.491..........6.92............3....548....65.....1...3.....3..682

458293761726158934913476825145689273287534196639721548372865419861942357594317682

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_6

......4....47.5..8....49...1..5.6.2..5719.8...2....7....9...1........586.1.6.829.

792861435634725918581349672148576329357192864926483751869257143273914586415638297

### 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 6

puzzles1_unbiased

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....47.5..8....49...1..5.6.2..5719.8...2....7....9...1........586.1.6.829.

792861435634725918581349672148576329357192864926483751869257143273914586415638297

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_7

6.78....41.3...7......1...3..9....2...6.28....8.15.......47...57.1....38..2....9.

697832154143695782825714963519347826376928541284156379968473215751269438432581697

### 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 7

puzzles1_unbiased

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.

6.78....41.3...7......1...3..9....2...6.28....8.15.......47...57.1....38..2....9.

697832154143695782825714963519347826376928541284156379968473215751269438432581697

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_8

4....1.42.4.....

4213312423411432

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 8

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

4....1.42.4.....

4213312423411432

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_9

..1....223...4..

3214413223411423

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 9

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

..1....223...4..

3214413223411423

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_10

..724..........91.......5......7...213.......9...5....6..3.1.....8.....5.........

517249683286735914493816527865174392134982756972653841659321478328497165741568239

### 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 10

puzzles2_17_clue

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.

..724..........91.......5......7...213.......9...5....6..3.1.....8.....5.........

517249683286735914493816527865174392134982756972653841659321478328497165741568239

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_11

63.............76.4....8...8..5......5.36...476..4.93....7..1.......5.7.5.8.2.4..

637219548289453761415678329843592617951367284762841935396784152124935876578126493

### 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 11

puzzles1_unbiased

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.

63.............76.4....8...8..5......5.36...476..4.93....7..1.......5.7.5.8.2.4..

637219548289453761415678329843592617951367284762841935396784152124935876578126493

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_12

.245..3....9.3......1...6.83...9..7..4..5...9....6.4...8.4....6....1......76..51.

624587391859136247731942658316294875248753169975861432183475926562319784497628513

### 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 12

puzzles1_unbiased

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.

.245..3....9.3......1...6.83...9..7..4..5...9....6.4...8.4....6....1......76..51.

624587391859136247731942658316294875248753169975861432183475926562319784497628513

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_13

.57....94.1..7965.9....5.....5.3..6.32...1......29....79..2..........37...2.1...6

857362194213479658964185723145738269329651847678294531796823415581946372432517986

### 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 13

puzzles1_unbiased

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.

.57....94.1..7965.9....5.....5.3..6.32...1......29....79..2..........37...2.1...6

857362194213479658964185723145738269329651847678294531796823415581946372432517986

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_14

7....8.6...69....83.1...2...29..4...6...2..74..7...........9..6...63..2.8...5..4.

794218365256973418381546297529764183618325974437891652172489536945637821863152749

### 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 14

puzzles1_unbiased

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....8.6...69....83.1...2...29..4...6...2..74..7...........9..6...63..2.8...5..4.

794218365256973418381546297529764183618325974437891652172489536945637821863152749

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_15

....6......6.3.2.9.2..1.35.7.....5..843.......9.3....4.8....193.3.8.74.........7.

319265748576438219428719356762984531843651927195372684287546193931827465654193872

### 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 15

puzzles1_unbiased

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......6.3.2.9.2..1.35.7.....5..843.......9.3....4.8....193.3.8.74.........7.

319265748576438219428719356762984531843651927195372684287546193931827465654193872

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_16

.43.........2.41

1432321441232341

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 16

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

.43.........2.41

1432321441232341

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_17

..76.28..9.....1......3..6418.9...7.6......58............5.4..981...35.2..9......

437612895968457123251839764183945276624371958795268431372584619816793542549126387

### 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 17

puzzles1_unbiased

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.

..76.28..9.....1......3..6418.9...7.6......58............5.4..981...35.2..9......

437612895968457123251839764183945276624371958795268431372584619816793542549126387

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_18

2.5....6....9...7...63.58946.8.4...2......5....471.9.8.5..931..1..28...3..7..46..

295478361843961275716325894638549712971832546524716938452693187169287453387154629

### 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 18

puzzles0_kaggle

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.

2.5....6....9...7...63.58946.8.4...2......5....471.9.8.5..931..1..28...3..7..46..

295478361843961275716325894638549712971832546524716938452693187169287453387154629

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_19

.7....9...2...1...5..3.7.16.....5.2.1469.3...9...........75.6......1.3.88....9.7.

471286935623591784598347216387165429146923857952874163239758641765412398814639572

### 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 19

puzzles1_unbiased

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...2...1...5..3.7.16.....5.2.1469.3...9...........75.6......1.3.88....9.7.

471286935623591784598347216387165429146923857952874163239758641765412398814639572

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_20

.263..457...94..3.3...768..1.2..9....5....1.4.6...5...............2.3.8...81....3

926381457587942631314576829142739568753628194869415372235894716471263985698157243

### 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 20

puzzles1_unbiased

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.

.263..457...94..3.3...768..1.2..9....5....1.4.6...5...............2.3.8...81....3

926381457587942631314576829142739568753628194869415372235894716471263985698157243

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_21

...6..2..489....1..7..9..8.5..........2.....4..7.1..98.6...2..7.....1..2..1.7..3.

153648279489527613276193485594836721812759364637214598365982147748361952921475836

### 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 21

puzzles1_unbiased

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..489....1..7..9..8.5..........2.....4..7.1..98.6...2..7.....1..2..1.7..3.

153648279489527613276193485594836721812759364637214598365982147748361952921475836

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_22

4.3......12...13

4231134231242413

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 22

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

4.3......12...13

4231134231242413

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_23

..1..7.........9....8.6...339.......4............7..5...7....1..5..2.......9....4

531897246764213985928465173395142867472586391816379452247638519159724638683951724

### 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 23

puzzles2_17_clue

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.........9....8.6...339.......4............7..5...7....1..5..2.......9....4

531897246764213985928465173395142867472586391816379452247638519159724638683951724

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_24

.65.....7.4..9...27.2..........564...5.8...16...3.29...9...5.4.8....1.6...1...7..

965428137348197652712563894137956428259874316486312975693785241874231569521649783

### 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 24

puzzles1_unbiased

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.

.65.....7.4..9...27.2..........564...5.8...16...3.29...9...5.4.8....1.6...1...7..

965428137348197652712563894137956428259874316486312975693785241874231569521649783

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_25

...6.3.8....7....5..694..7..283.....1.3...4.2.7.52...1.1...896.5.4..73...62....17

745613289931782645286945173428391756153876492679524831317258964594167328862439517

### 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 25

puzzles0_kaggle

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.

...6.3.8....7....5..694..7..283.....1.3...4.2.7.52...1.1...896.5.4..73...62....17

745613289931782645286945173428391756153876492679524831317258964594167328862439517

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_26

.8..5...3.41.......63.8.5.1.3.7.5.8....8..6..12.9.......5..94.7...541...2........

782156943541293768963487521639715284457832619128964375815629437376541892294378156

### 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 26

puzzles1_unbiased

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...3.41.......63.8.5.1.3.7.5.8....8..6..12.9.......5..94.7...541...2........

782156943541293768963487521639715284457832619128964375815629437376541892294378156

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_27

1.96...2.....8.....5.2...1.243..6...9..3.5.........7.4.......59.651.8.7......36..

179654823324781965658239417243876591917345286586912734832467159465198372791523648

### 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 27

puzzles1_unbiased

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.

1.96...2.....8.....5.2...1.243..6...9..3.5.........7.4.......59.651.8.7......36..

179654823324781965658239417243876591917345286586912734832467159465198372791523648

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_28

69.5....2....32...34.......7....182.1....83.6...........8.93.7..2.....4.....5...3

691584732875132964342679158736941825154728396289365417468293571523817649917456283

### 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 28

puzzles1_unbiased

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.

69.5....2....32...34.......7....182.1....83.6...........8.93.7..2.....4.....5...3

691584732875132964342679158736941825154728396289365417468293571523817649917456283

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_29

1...7.......6....27..8.9.5......7..3.6..8..9..1......7..5...9...79..3..4.2...56..

156372849983654712742819356298547163367281495514936287635428971879163524421795638

### 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 29

puzzles1_unbiased

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.......6....27..8.9.5......7..3.6..8..9..1......7..5...9...79..3..4.2...56..

156372849983654712742819356298547163367281495514936287635428971879163524421795638

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_30

..28.6597......1..9.....6..8.7..2...65..4...1..1...4............6..8.2..5..927...

412836597386579142975214683847192365653748921291653478128465739769381254534927816

### 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 30

puzzles1_unbiased

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.

..28.6597......1..9.....6..8.7..2...65..4...1..1...4............6..8.2..5..927...

412836597386579142975214683847192365653748921291653478128465739769381254534927816

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_31

2...4.....32...1

2314412314323241

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 31

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

2...4.....32...1

2314412314323241

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_32

.....6.....513.....9.....31.....971.8712..9......8...2..4.7......38.2....8...32.7

317596824245138679698427531452369718871254963936781452124975386763842195589613247

### 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 32

puzzles1_unbiased

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.....513.....9.....31.....971.8712..9......8...2..4.7......38.2....8...32.7

317596824245138679698427531452369718871254963936781452124975386763842195589613247

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_33

....4...92.6.1....931....7....4.5....1982....324........3...7.61.....5...5....231

785643129246719385931582674678435912519827463324196857893251746162374598457968231

### 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 33

puzzles1_unbiased

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...92.6.1....931....7....4.5....1982....324........3...7.61.....5...5....231

785643129246719385931582674678435912519827463324196857893251746162374598457968231

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_34

9..........2.4.6.1....13.2...9...5...87..9.16.2.8.5.....82...6..6...4.7...4.7....

916752834372948651845613729639127548587439216421865397758291463163584972294376185

### 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 34

puzzles1_unbiased

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..........2.4.6.1....13.2...9...5...87..9.16.2.8.5.....82...6..6...4.7...4.7....

916752834372948651845613729639127548587439216421865397758291463163584972294376185

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_35

..7..14...6...2......98......3....85...2.....51.4..7..1.....5.22...93.6...9.....7

987651423461372958325984176643719285798235614512468739136847592274593861859126347

### 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 35

puzzles1_unbiased

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..14...6...2......98......3....85...2.....51.4..7..1.....5.22...93.6...9.....7

987651423461372958325984176643719285798235614512468739136847592274593861859126347

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_36

9....65.....83.92..24....6.7...1.8........1..8......39....61...17.2......53..76..

938426517617835924524179368792314856365798142841652739489561273176283495253947681

### 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 36

puzzles1_unbiased

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....65.....83.92..24....6.7...1.8........1..8......39....61...17.2......53..76..

938426517617835924524179368792314856365798142841652739489561273176283495253947681

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_37

..7.5.1.9..2.16......7..42..8.4..3.5.7..8.21........9.4.1563.............9...2.3.

637254189842916753915738426289471365573689214164325897421563978358197642796842531

### 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 37

puzzles1_unbiased

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.

..7.5.1.9..2.16......7..42..8.4..3.5.7..8.21........9.4.1563.............9...2.3.

637254189842916753915738426289471365573689214164325897421563978358197642796842531

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_38

4.3.3.....4.1...

4132321423411423

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 38

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

4.3.3.....4.1...

4132321423411423

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_39

.5...61.2.81.5..6.92.....3..3.....5.2.9.1.34......4...8...4...5..5.2.9..........7

457386192381259764926471538134762859279815346568934271893147625745628913612593487

### 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 39

puzzles1_unbiased

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...61.2.81.5..6.92.....3..3.....5.2.9.1.34......4...8...4...5..5.2.9..........7

457386192381259764926471538134762859279815346568934271893147625745628913612593487

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_40

...4..2..........71.4.5.9..8.51...6.9.7..3.....6.891.5.3.........8...4.1..9..16..

583497216692318547174652983825174369917563824346289175431926758268735491759841632

### 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 40

puzzles1_unbiased

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..2..........71.4.5.9..8.51...6.9.7..3.....6.891.5.3.........8...4.1..9..16..

583497216692318547174652983825174369917563824346289175431926758268735491759841632

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_41

....5.79....4.2....2.71.35..........7.6.2....38...4..1..1.9.2....9....67...54..18

413856792975432186628719354154378629796125843382964571841697235539281467267543918

### 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 41

puzzles1_unbiased

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.

....5.79....4.2....2.71.35..........7.6.2....38...4..1..1.9.2....9....67...54..18

413856792975432186628719354154378629796125843382964571841697235539281467267543918

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_42

......5...564...7...1....9..7..8...45..9.13.....6....5..8.......9.1..2.3.43..5..9

427819536956432178831756492672583914584921367319647825268394751795168243143275689

### 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 42

puzzles1_unbiased

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...564...7...1....9..7..8...45..9.13.....6....5..8.......9.1..2.3.43..5..9

427819536956432178831756492672583914584921367319647825268394751795168243143275689

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_43

.......22.1.3..4

4231134224133124

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 43

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

.......22.1.3..4

4231134224133124

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_44

..1..1.3...4.3..

3412214312344321

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 44

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

..1..1.3...4.3..

3412214312344321

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_45

..9..6...84.....9..65.9...8..........32.5.8..4..12.3.65..6.1.79...4..........51..

219846735843517692765293418158364927632759841497128356584631279971482563326975184

### 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 45

puzzles1_unbiased

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...84.....9..65.9...8..........32.5.8..4..12.3.65..6.1.79...4..........51..

219846735843517692765293418158364927632759841497128356584631279971482563326975184

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_46

..6.28.7558.7.......21..3..75..1..42.....3..61...7....6.5.......2.4......1..652..

346928175581736924972154368753619842298543716164872539635287491827491653419365287

### 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 46

puzzles1_unbiased

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.

..6.28.7558.7.......21..3..75..1..42.....3..61...7....6.5.......2.4......1..652..

346928175581736924972154368753619842298543716164872539635287491827491653419365287

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_47

.2.....4..3....1

4213312414322341

### 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 4x4 ### Rules Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid. ### Visual Elements None

Basic 4x4 Sudoku 47

sudoku_random_4x4

Each row, column, and 2×2 subgrid must contain all digits from 1 to 4 exactly once. Digits cannot be repeated within any row, column, or 2×2 subgrid.

.2.....4..3....1

4213312414322341

4

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_48

....93.768...7..........5.4..3.5...9.4.9.2..1...7..42.3...6..1.........56.8...3..

425893176861475932937621584283154769746932851519786423394567218172348695658219347

### 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 48

puzzles1_unbiased

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.

....93.768...7..........5.4..3.5...9.4.9.2..1...7..42.3...6..1.........56.8...3..

425893176861475932937621584283154769746932851519786423394567218172348695658219347

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_49

....32.1..4...1......7..9...1....7.5..7....3653....19.16.....4.85.39....2.....3..

695832417742951683381764952916483725427519836538627194163278549854396271279145368

### 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 49

puzzles1_unbiased

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.

....32.1..4...1......7..9...1....7.5..7....3653....19.16.....4.85.39....2.....3..

695832417742951683381764952916483725427519836538627194163278549854396271279145368

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_50

.6...1...4..7...3...2.5....7..9....8.....24....1....9...6....878..3..9...5......3

569431872418729635372658149745916328693872451281543796136294587827365914954187263

### 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 50

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..7...3...2.5....7..9....8.....24....1....9...6....878..3..9...5......3

569431872418729635372658149745916328693872451281543796136294587827365914954187263

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_51

7....52...6.1.......4.9....5....167...1......6....2.8.......72.8....7..6.3....85.

718465239962173548354298167583941672421786395679532481196854723845327916237619854

### 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 51

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....52...6.1.......4.9....5....167...1......6....2.8.......72.8....7..6.3....85.

718465239962173548354298167583941672421786395679532481196854723845327916237619854

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_52

.5....1..2.......3.97....6...56..7......4...83....2.....61..5...1.9.........8...4

653897142281456973497321865945638721162749358378512496826174539514963287739285614

### 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 52

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..2.......3.97....6...56..7......4...83....2.....61..5...1.9.........8...4

653897142281456973497321865945638721162749358378512496826174539514963287739285614

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_53

64.2....3..3.8.1.....3....5.....2.1......52.9.8....3.....91......5..38..1....8.92

649251783573489126821376945356792418714835269982164357268917534495623871137548692

### 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 53

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.

64.2....3..3.8.1.....3....5.....2.1......52.9.8....3.....91......5..38..1....8.92

649251783573489126821376945356792418714835269982164357268917534495623871137548692

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_54

..7.4...92....54...4.1...7....3...6..5..9.1....6..1..83..5.......4..8.5..2..1.7..

167842539238975416549163872712384965853296147496751328381527694974638251625419783

### 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 54

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.

..7.4...92....54...4.1...7....3...6..5..9.1....6..1..83..5.......4..8.5..2..1.7..

167842539238975416549163872712384965853296147496751328381527694974638251625419783

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_55

..9.6..7..8...3......4..5...2....19...6.7...53.....76..4.......2..8...5...5.9.6..

419568273587923416632417589728635194196274835354189762941756328263841957875392641

### 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 55

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.

..9.6..7..8...3......4..5...2....19...6.7...53.....76..4.......2..8...5...5.9.6..

419568273587923416632417589728635194196274835354189762941756328263841957875392641

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_56

.7...48...4.1..5....193.....8...27..6.7.1......4....1..1.2....7..8.....54..8..1..

379524861842176539561938472183652794697413258254789613916245387728361945435897126

### 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 56

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...48...4.1..5....193.....8...27..6.7.1......4....1..1.2....7..8.....54..8..1..

379524861842176539561938472183652794697413258254789613916245387728361945435897126

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_57

..4..3.1.9..2..3...35.....76....42..........1..7....8..5.6.2...4...3.6.....4.9..8

864753912971268354235941867683174295542896731197325486759682143418537629326419578

### 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 57

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..3.1.9..2..3...35.....76....42..........1..7....8..5.6.2...4...3.6.....4.9..8

864753912971268354235941867683174295542896731197325486759682143418537629326419578

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_58

..2.1..9....5..3.......2..6..4..75..1....3....2..9..8..4...6....987.....2...8..4.

372618495461579328859342176934867512187253964526491783745126839698734251213985647

### 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 58

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.

..2.1..9....5..3.......2..6..4..75..1....3....2..9..8..4...6....987.....2...8..4.

372618495461579328859342176934867512187253964526491783745126839698734251213985647

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_59

.7......3..5.9..6.1....4...3....72....9.2..8..4.1.....5......2.....5.6.9..6...5.8

672518943485293167193674852351847296769325481248169735517986324834752619926431578

### 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 59

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..5.9..6.1....4...3....72....9.2..8..4.1.....5......2.....5.6.9..6...5.8

672518943485293167193674852351847296769325481248169735517986324834752619926431578

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_60

23.6....8..4.83......5.2..4.8..5..6.3.........6..2.19.54..6......38.46....6......

235649718194783526678512934982451367351976842467328195549167283723894651816235479

### 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 60

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.

23.6....8..4.83......5.2..4.8..5..6.3.........6..2.19.54..6......38.46....6......

235649718194783526678512934982451367351976842467328195549167283723894651816235479

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_61

7..8.......8..4.1..6....3.8.....3......12..4...264...35.6..2.3...3..196..9....5..

719836425328574619465219378684793251937125846152648793546982137873451962291367584

### 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 61

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..8.......8..4.1..6....3.8.....3......12..4...264...35.6..2.3...3..196..9....5..

719836425328574619465219378684793251937125846152648793546982137873451962291367584

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_62

..9.8...16..9.23........4...6..27.....28....75....1...4..........1.785.4..6..9..2

349586721617942385285713496864327159192854637573691248428165973931278564756439812

### 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 62

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.

..9.8...16..9.23........4...6..27.....28....75....1...4..........1.785.4..6..9..2

349586721617942385285713496864327159192854637573691248428165973931278564756439812

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_63

9.17.4.8..421...7..8..2......4..1.2.2...4.8...1......6.....75...3.9.......8.1..9.

961734285542198673783526419894651327276349851315872946129467538437985162658213794

### 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 63

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.

9.17.4.8..421...7..8..2......4..1.2.2...4.8...1......6.....75...3.9.......8.1..9.

961734285542198673783526419894651327276349851315872946129467538437985162658213794

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_64

3....6.5...81....3.7....9.14....8.6.......2....9.2...7..586..3.8..34.........5...

312976458948152673576483921427538169683719245159624387295861734861347592734295816

### 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 64

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....6.5...81....3.7....9.14....8.6.......2....9.2...7..586..3.8..34.........5...

312976458948152673576483921427538169683719245159624387295861734861347592734295816

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_65

2..4...9....2.85.3.8..59...8......2..5...3..7....8..513.9..52..5..34.....48.9....

265437198794218563183659472837561924451923687926784351319875246572346819648192735

### 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 65

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...9....2.85.3.8..59...8......2..5...3..7....8..513.9..52..5..34.....48.9....

265437198794218563183659472837561924451923687926784351319875246572346819648192735

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_66

.2.....8.35...6..9....5....56..9...11.2..59....4....7.....13.......691..61.5....3

926341785357826419481957362563794821172685934894132576745213698238469157619578243

### 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 66

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.....8.35...6..9....5....56..9...11.2..59....4....7.....13.......691..61.5....3

926341785357826419481957362563794821172685934894132576745213698238469157619578243

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_67

65...4.....38.......4.351...68.1......1.5...4...3..6...3..8.97.8..6..4...1.......

652194837173862549984735126568417293321956784749328651436281975895673412217549368

### 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 67

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.

65...4.....38.......4.351...68.1......1.5...4...3..6...3..8.97.8..6..4...1.......

652194837173862549984735126568417293321956784749328651436281975895673412217549368

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_68

..4.2....3..5...9...8.....1.368......85..9.6.9...........917.5.......7..6..3...8.

794128635321564897568793421436851972185279364972436518843917256219685743657342189

### 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 68

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.

..4.2....3..5...9...8.....1.368......85..9.6.9...........917.5.......7..6..3...8.

794128635321564897568793421436851972185279364972436518843917256219685743657342189

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_69

1...5..3.......2...9...61...4..1......16.5.4.6..3.....3...4..18..87.1...4...6..5.

186257439734198265295436187843912576921675843657384921372549618568721394419863752

### 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 69

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...5..3.......2...9...61...4..1......16.5.4.6..3.....3...4..18..87.1...4...6..5.

186257439734198265295436187843912576921675843657384921372549618568721394419863752

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_70

.2..9...58....1.........7...6..3..9835..8...2..84......3.....5.6...5.2.....9.3..6

723894615846571923519362784461237598357689142298415367932746851674158239185923476

### 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 70

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..9...58....1.........7...6..3..9835..8...2..84......3.....5.6...5.2.....9.3..6

723894615846571923519362784461237598357689142298415367932746851674158239185923476

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_71

..8.9...13..6..9......7..53..1.....86..9..4...74.3..9...6.......4.5...2.2...4.3..

758392641312654987469871253921467538635918472874235196596723814143586729287149365

### 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 71

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...13..6..9......7..53..1.....86..9..4...74.3..9...6.......4.5...2.2...4.3..

758392641312654987469871253921467538635918472874235196596723814143586729287149365

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_72

52....9..6.1..53.2...6.........6.71.........8..28.7....571.6...18.72...52.6......

523418967641975382978632154895264713764391528312857496457186239189723645236549871

### 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 72

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.

52....9..6.1..53.2...6.........6.71.........8..28.7....571.6...18.72...52.6......

523418967641975382978632154895264713764391528312857496457186239189723645236549871

9

None

Complete the sudoku board based on the rules and visual elements.

normal_sudoku_73

...6.35.2..2.5.....5.4....3..........4..6.3.11.8.........7.92...2..4.7.64.7....1.

974613582382957164651482973293174658745268391168395427816739245529841736437526819

### 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 73

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.

...6.35.2..2.5.....5.4....3..........4..6.3.11.8.........7.92...2..4.7.64.7....1.

974613582382957164651482973293174658745268391168395427816739245529841736437526819

9

None

Complete the sudoku board based on the rules and visual elements.