sudoku_data.jsonl

{"text": "<input>\n7 9 1 5 6 4 0 8 3 \n3 0 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 0 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 0 3 4 \n0 3 2 4 5 6 9 7 8 \n</input>\n\n<reasoning>\n<board>\n7 9 1 5 6 4 0 8 3 \n3 0 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 0 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 0 3 4 \n0 3 2 4 5 6 9 7 8 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 6) #1, (1, 1) #1, (3, 6) #1, (7, 6) #1, (8, 0) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #1, \n=> Impossible values in row: 7 9 1 5 6 4 8 3 \n=> Impossible values in column: 7 4 6 3 5 9 \n=> Impossible values in box: 8 3 7 6 1 4 5 9 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (0, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 6) - \n</stack>\n</fill number>\n<board>\n7 9 1 5 6 4 2 8 3 \n3 0 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 0 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 0 3 4 \n0 3 2 4 5 6 9 7 8 \n</board>\n<stack>\n(0, 6) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #1, (3, 6) #1, (7, 6) #1, (8, 0) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 1) #1, \n=> Impossible values in row: 3 4 9 2 8 7 6 1 \n=> Impossible values in column: 9 6 2 1 4 8 7 3 \n=> Impossible values in box: 7 9 1 3 4 2 6 8 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (1, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 6) - (1, 1) - \n</stack>\n</fill number>\n<board>\n7 9 1 5 6 4 2 8 3 \n3 5 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 0 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 0 3 4 \n0 3 2 4 5 6 9 7 8 \n</board>\n<stack>\n(0, 6) - (1, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 6) #1, (7, 6) #1, (8, 0) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 6) #1, \n=> Impossible values in row: 9 2 3 6 4 5 1 7 \n=> Impossible values in column: 2 7 4 6 3 5 9 \n=> Impossible values in box: 1 7 6 4 5 3 9 2 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (3, 6) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 6) - (1, 1) - (3, 6) - \n</stack>\n</fill number>\n<board>\n7 9 1 5 6 4 2 8 3 \n3 5 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 8 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 0 3 4 \n0 3 2 4 5 6 9 7 8 \n</board>\n<stack>\n(0, 6) - (1, 1) - (3, 6) - \n</stack>\n=> Number of possibilities (estimate): (7, 6) #1, (8, 0) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 6) #1, \n=> Impossible values in row: 5 7 6 8 9 2 3 4 \n=> Impossible values in column: 2 7 4 8 6 3 5 9 \n=> Impossible values in box: 5 2 6 3 4 9 7 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (7, 6) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 6) - (1, 1) - (3, 6) - (7, 6) - \n</stack>\n</fill number>\n<board>\n7 9 1 5 6 4 2 8 3 \n3 5 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 8 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 1 3 4 \n0 3 2 4 5 6 9 7 8 \n</board>\n<stack>\n(0, 6) - (1, 1) - (3, 6) - (7, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 0) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 0) #1, \n=> Impossible values in row: 3 2 4 5 6 9 7 8 \n=> Impossible values in column: 7 3 2 9 8 6 4 5 \n=> Impossible values in box: 4 8 9 5 7 6 3 2 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 0) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 6) - (1, 1) - (3, 6) - (7, 6) - (8, 0) - \n</stack>\n</fill number>\n<board>\n7 9 1 5 6 4 2 8 3 \n3 5 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 8 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 1 3 4 \n1 3 2 4 5 6 9 7 8 \n</board>\n<stack>\n(0, 6) - (1, 1) - (3, 6) - (7, 6) - (8, 0) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n7 9 1 5 6 4 2 8 3 \n3 5 4 9 2 8 7 6 1 \n2 6 8 3 7 1 4 5 9 \n9 2 3 6 4 5 8 1 7 \n8 1 7 2 3 9 6 4 5 \n6 4 5 1 8 7 3 9 2 \n4 8 9 7 1 3 5 2 6 \n5 7 6 8 9 2 1 3 4 \n1 3 2 4 5 6 9 7 8 \n</output>\n\n"}
{"text": "<input>\n0 0 8 1 6 7 5 2 0 \n5 9 1 2 3 0 0 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</input>\n\n<reasoning>\n<board>\n0 0 8 1 6 7 5 2 0 \n5 9 1 2 3 0 0 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 0) #1, (0, 1) #1, (0, 8) #2, (1, 5) #1, (1, 6) #1, (2, 2) #2, (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #2, (4, 6) #4, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 0) #1, \n=> Impossible values in row: 8 1 6 7 5 2 \n=> Impossible values in column: 5 7 8 6 2 3 \n=> Impossible values in box: 8 5 9 1 7 6 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 0) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - \n</stack>\n</fill number>\n<board>\n4 0 8 1 6 7 5 2 0 \n5 9 1 2 3 0 0 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 8) #2, (1, 5) #1, (1, 6) #1, (2, 2) #2, (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #2, (4, 6) #4, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 4 8 1 6 7 5 2 \n=> Impossible values in column: 9 6 7 2 5 4 1 \n=> Impossible values in box: 4 8 5 9 1 7 6 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (0, 1) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 0 \n5 9 1 2 3 0 0 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 8) #1, (1, 5) #1, (1, 6) #1, (2, 2) #1, (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #2, (4, 6) #4, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 8) #1, \n=> Impossible values in row: 4 3 8 1 6 7 5 2 \n=> Impossible values in column: 7 1 8 6 2 4 \n=> Impossible values in box: 5 2 6 7 8 1 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (0, 8) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 0 0 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - \n</stack>\n=> Number of possibilities (estimate): (1, 5) #1, (1, 6) #1, (2, 2) #1, (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #2, (4, 6) #4, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 5) #1, \n=> Impossible values in row: 5 9 1 2 3 6 7 \n=> Impossible values in column: 7 4 3 1 5 6 \n=> Impossible values in box: 1 6 7 2 3 5 4 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (1, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 0 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - \n</stack>\n=> Number of possibilities (estimate): (1, 6) #1, (2, 2) #1, (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #1, (4, 6) #4, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 6) #1, \n=> Impossible values in row: 5 9 1 2 3 8 6 7 \n=> Impossible values in column: 5 8 3 9 \n=> Impossible values in box: 5 2 9 6 7 8 1 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (1, 6) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 0 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - \n</stack>\n=> Number of possibilities (estimate): (2, 2) #1, (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #1, (4, 6) #3, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 2) #1, \n=> Impossible values in row: 7 6 5 4 8 1 \n=> Impossible values in column: 8 1 9 4 6 7 \n=> Impossible values in box: 4 3 8 5 9 1 7 6 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (2, 2) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 0 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - \n</stack>\n=> Number of possibilities (estimate): (2, 3) #1, (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #2, (4, 4) #1, (4, 5) #1, (4, 6) #3, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 3) #1, \n=> Impossible values in row: 7 6 2 5 4 8 1 \n=> Impossible values in column: 1 2 5 7 4 3 8 \n=> Impossible values in box: 1 6 7 2 3 8 5 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (2, 3) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 0 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - \n</stack>\n=> Number of possibilities (estimate): (2, 7) #1, (3, 5) #1, (3, 6) #3, (3, 7) #2, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #3, (4, 7) #3, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 7) #1, \n=> Impossible values in row: 7 6 2 9 5 4 8 1 \n=> Impossible values in column: 2 6 9 7 8 5 \n=> Impossible values in box: 5 2 9 4 6 7 8 1 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (2, 7) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 0 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - \n</stack>\n=> Number of possibilities (estimate): (3, 5) #1, (3, 6) #3, (3, 7) #1, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #3, (4, 7) #2, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 5) #1, \n=> Impossible values in row: 8 7 9 5 4 \n=> Impossible values in column: 7 8 4 3 1 5 6 \n=> Impossible values in box: 5 4 7 1 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (3, 5) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 0 0 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - \n</stack>\n=> Number of possibilities (estimate): (3, 6) #2, (3, 7) #1, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #3, (4, 7) #2, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 7) #1, \n=> Impossible values in row: 8 7 9 5 4 2 \n=> Impossible values in column: 2 6 3 9 7 8 5 \n=> Impossible values in box: 9 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (3, 7) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 0 1 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - \n</stack>\n=> Number of possibilities (estimate): (3, 6) #1, (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #2, (4, 7) #1, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 6) #1, \n=> Impossible values in row: 8 7 9 5 4 2 1 \n=> Impossible values in column: 5 4 8 3 9 \n=> Impossible values in box: 1 9 8 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (3, 6) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 0 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 8) #1, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #2, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 8) #1, \n=> Impossible values in row: 8 7 9 5 4 2 6 1 \n=> Impossible values in column: 9 7 1 8 6 2 4 \n=> Impossible values in box: 6 1 9 8 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (3, 8) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n0 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 2 \n=> Impossible values in column: 4 5 7 8 6 2 3 \n=> Impossible values in box: 8 7 9 2 6 5 4 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (4, 0) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 0 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - \n</stack>\n=> Number of possibilities (estimate): (4, 2) #1, (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 2) #1, \n=> Impossible values in row: 1 2 \n=> Impossible values in column: 8 1 2 9 4 6 7 \n=> Impossible values in box: 8 7 9 1 2 6 5 4 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (4, 2) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 0 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - \n</stack>\n=> Number of possibilities (estimate): (4, 3) #1, (4, 4) #1, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 3) #1, \n=> Impossible values in row: 1 2 3 \n=> Impossible values in column: 1 2 9 5 7 4 3 8 \n=> Impossible values in box: 5 4 2 7 1 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 0 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - \n</stack>\n=> Number of possibilities (estimate): (4, 4) #1, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 4) #1, \n=> Impossible values in row: 1 2 3 6 \n=> Impossible values in column: 6 3 5 4 1 9 \n=> Impossible values in box: 5 4 2 6 7 1 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (4, 4) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 0 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - \n</stack>\n=> Number of possibilities (estimate): (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 5) #1, \n=> Impossible values in row: 1 2 3 6 8 \n=> Impossible values in column: 7 8 4 2 3 1 5 6 \n=> Impossible values in box: 5 4 2 6 8 7 1 3 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 5) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 0 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - \n</stack>\n=> Number of possibilities (estimate): (4, 6) #1, (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 1 2 3 6 8 9 \n=> Impossible values in column: 5 4 8 6 3 9 \n=> Impossible values in box: 6 1 3 9 8 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (4, 6) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 0 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (4, 7) #1, (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 7) #1, \n=> Impossible values in row: 1 2 3 6 8 9 7 \n=> Impossible values in column: 2 6 3 1 9 7 8 5 \n=> Impossible values in box: 6 1 3 7 9 8 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (4, 7) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 0 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - \n</stack>\n=> Number of possibilities (estimate): (4, 8) #1, (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 8) #1, \n=> Impossible values in row: 1 2 3 6 8 9 7 4 \n=> Impossible values in column: 9 7 1 3 8 6 2 4 \n=> Impossible values in box: 6 1 3 7 4 9 8 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 8) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 0 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - \n</stack>\n=> Number of possibilities (estimate): (5, 6) #1, (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 6) #1, \n=> Impossible values in row: 6 5 4 7 1 3 9 8 \n=> Impossible values in column: 5 4 8 6 7 3 9 \n=> Impossible values in box: 6 1 3 7 4 5 9 8 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (5, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 0 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - \n</stack>\n=> Number of possibilities (estimate): (6, 1) #1, (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 1) #1, \n=> Impossible values in row: 2 4 9 1 3 7 6 \n=> Impossible values in column: 3 9 6 7 2 5 4 1 \n=> Impossible values in box: 2 4 6 3 1 7 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (6, 1) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 0 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - \n</stack>\n=> Number of possibilities (estimate): (6, 2) #1, (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 2) #1, \n=> Impossible values in row: 2 8 4 9 1 3 7 6 \n=> Impossible values in column: 8 1 2 9 3 4 6 7 \n=> Impossible values in box: 2 8 4 6 3 1 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (6, 2) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 5 4 9 1 3 7 6 \n0 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - \n</stack>\n=> Number of possibilities (estimate): (7, 0) #1, (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 0) #1, \n=> Impossible values in row: 4 6 3 5 8 2 \n=> Impossible values in column: 4 5 7 8 1 6 2 3 \n=> Impossible values in box: 2 8 5 4 6 3 1 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (7, 0) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 5 4 9 1 3 7 6 \n9 4 6 3 0 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - \n</stack>\n=> Number of possibilities (estimate): (7, 4) #1, (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 4) #1, \n=> Impossible values in row: 9 4 6 3 5 8 2 \n=> Impossible values in column: 6 3 5 4 8 1 9 \n=> Impossible values in box: 4 9 1 3 5 8 6 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 4) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - (7, 4) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 5 4 9 1 3 7 6 \n9 4 6 3 7 5 0 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - (7, 4) - \n</stack>\n=> Number of possibilities (estimate): (7, 6) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 6) #1, \n=> Impossible values in row: 9 4 6 3 7 5 8 2 \n=> Impossible values in column: 5 4 8 6 7 2 3 9 \n=> Impossible values in box: 3 7 6 8 2 9 5 4 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (7, 6) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - (7, 4) - (7, 6) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 5 4 9 1 3 7 6 \n9 4 6 3 7 5 1 8 2 \n3 1 7 8 0 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - (7, 4) - (7, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 3 1 7 8 6 9 5 4 \n=> Impossible values in column: 6 3 5 4 8 1 9 7 \n=> Impossible values in box: 4 9 1 3 7 5 8 6 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (8, 4) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - (7, 4) - (7, 6) - (8, 4) - \n</stack>\n</fill number>\n<board>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 5 4 9 1 3 7 6 \n9 4 6 3 7 5 1 8 2 \n3 1 7 8 2 6 9 5 4 \n</board>\n<stack>\n(0, 0) - (0, 1) - (0, 8) - (1, 5) - (1, 6) - (2, 2) - (2, 3) - (2, 7) - (3, 5) - (3, 7) - (3, 6) - (3, 8) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (4, 6) - (4, 7) - (4, 8) - (5, 6) - (6, 1) - (6, 2) - (7, 0) - (7, 4) - (7, 6) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n4 3 8 1 6 7 5 2 9 \n5 9 1 2 3 8 4 6 7 \n7 6 2 9 5 4 8 3 1 \n8 7 9 5 4 2 6 1 3 \n1 2 3 6 8 9 7 4 5 \n6 5 4 7 1 3 2 9 8 \n2 8 5 4 9 1 3 7 6 \n9 4 6 3 7 5 1 8 2 \n3 1 7 8 2 6 9 5 4 \n</output>\n\n"}
{"text": "<input>\n8 6 3 5 7 1 4 9 2 \n2 9 1 0 3 4 6 7 5 \n5 7 0 2 9 6 8 1 3 \n3 4 5 0 1 9 2 0 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 0 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</input>\n\n<reasoning>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 0 3 4 6 7 5 \n5 7 0 2 9 6 8 1 3 \n3 4 5 0 1 9 2 0 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 0 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (1, 3) #1, (2, 2) #1, (3, 3) #1, (3, 7) #1, (7, 5) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 3) #1, \n=> Impossible values in row: 2 9 1 3 4 6 7 5 \n=> Impossible values in column: 5 2 4 3 9 1 7 \n=> Impossible values in box: 5 7 1 3 4 2 9 6 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (1, 3) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - \n</stack>\n</fill number>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 0 2 9 6 8 1 3 \n3 4 5 0 1 9 2 0 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 0 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</board>\n<stack>\n(1, 3) - \n</stack>\n=> Number of possibilities (estimate): (2, 2) #1, (3, 3) #1, (3, 7) #1, (7, 5) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 2) #1, \n=> Impossible values in row: 5 7 2 9 6 8 1 3 \n=> Impossible values in column: 3 1 5 6 9 7 8 2 \n=> Impossible values in box: 8 6 3 2 9 1 5 7 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (2, 2) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (2, 2) - \n</stack>\n</fill number>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 4 2 9 6 8 1 3 \n3 4 5 0 1 9 2 0 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 0 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</board>\n<stack>\n(1, 3) - (2, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 3) #1, (3, 7) #1, (7, 5) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 3) #1, \n=> Impossible values in row: 3 4 5 1 9 2 7 \n=> Impossible values in column: 5 8 2 4 3 9 1 7 \n=> Impossible values in box: 1 9 4 2 7 3 5 8 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (3, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (2, 2) - (3, 3) - \n</stack>\n</fill number>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 4 2 9 6 8 1 3 \n3 4 5 6 1 9 2 0 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 0 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</board>\n<stack>\n(1, 3) - (2, 2) - (3, 3) - \n</stack>\n=> Number of possibilities (estimate): (3, 7) #1, (7, 5) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 7) #1, \n=> Impossible values in row: 3 4 5 6 1 9 2 7 \n=> Impossible values in column: 9 7 1 3 6 4 2 5 \n=> Impossible values in box: 2 7 5 3 9 1 6 4 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (3, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (2, 2) - (3, 3) - (3, 7) - \n</stack>\n</fill number>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 4 2 9 6 8 1 3 \n3 4 5 6 1 9 2 8 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 0 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</board>\n<stack>\n(1, 3) - (2, 2) - (3, 3) - (3, 7) - \n</stack>\n=> Number of possibilities (estimate): (7, 5) #1, (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 5) #1, \n=> Impossible values in row: 9 3 8 1 4 7 2 6 \n=> Impossible values in column: 1 4 6 9 7 8 2 3 \n=> Impossible values in box: 9 8 2 1 4 7 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (7, 5) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (2, 2) - (3, 3) - (3, 7) - (7, 5) - \n</stack>\n</fill number>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 4 2 9 6 8 1 3 \n3 4 5 6 1 9 2 8 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 5 7 2 6 \n4 1 2 7 0 3 9 5 8 \n</board>\n<stack>\n(1, 3) - (2, 2) - (3, 3) - (3, 7) - (7, 5) - \n</stack>\n=> Number of possibilities (estimate): (8, 4) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 4 1 2 7 3 9 5 8 \n=> Impossible values in column: 7 3 9 1 2 5 8 4 \n=> Impossible values in box: 9 8 2 1 4 5 7 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (8, 4) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (2, 2) - (3, 3) - (3, 7) - (7, 5) - (8, 4) - \n</stack>\n</fill number>\n<board>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 4 2 9 6 8 1 3 \n3 4 5 6 1 9 2 8 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 5 7 2 6 \n4 1 2 7 6 3 9 5 8 \n</board>\n<stack>\n(1, 3) - (2, 2) - (3, 3) - (3, 7) - (7, 5) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n8 6 3 5 7 1 4 9 2 \n2 9 1 8 3 4 6 7 5 \n5 7 4 2 9 6 8 1 3 \n3 4 5 6 1 9 2 8 7 \n1 8 6 4 2 7 5 3 9 \n7 2 9 3 5 8 1 6 4 \n6 5 7 9 8 2 3 4 1 \n9 3 8 1 4 5 7 2 6 \n4 1 2 7 6 3 9 5 8 \n</output>\n\n"}
{"text": "<input>\n0 8 0 5 0 1 6 3 0 \n0 0 5 9 0 2 4 0 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</input>\n\n<reasoning>\n<board>\n0 8 0 5 0 1 6 3 0 \n0 0 5 9 0 2 4 0 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (0, 8) #1, (1, 0) #1, (1, 1) #1, (1, 4) #2, (1, 7) #2, (2, 0) #3, (2, 4) #3, (2, 5) #2, (2, 7) #2, (2, 8) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #4, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #4, (5, 0) #2, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #4, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #4, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #5, (7, 8) #3, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #4, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 8) #1, \n=> Impossible values in row: 8 5 1 6 3 \n=> Impossible values in column: 7 8 2 \n=> Impossible values in box: 6 3 4 7 5 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (0, 8) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n0 0 5 9 0 2 4 0 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (1, 0) #1, (1, 1) #1, (1, 4) #2, (1, 7) #2, (2, 0) #3, (2, 4) #3, (2, 5) #2, (2, 7) #2, (2, 8) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #4, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #2, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #4, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #3, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #5, (7, 8) #2, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #4, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 0) #1, \n=> Impossible values in row: 5 9 2 4 7 \n=> Impossible values in column: 1 7 6 \n=> Impossible values in box: 8 5 9 6 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (1, 0) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 0 5 9 0 2 4 0 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (1, 1) #1, (1, 4) #1, (1, 7) #2, (2, 0) #2, (2, 4) #3, (2, 5) #2, (2, 7) #2, (2, 8) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #4, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #4, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #3, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #5, (7, 8) #2, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #4, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 1) #1, \n=> Impossible values in row: 3 5 9 2 4 7 \n=> Impossible values in column: 8 9 2 3 5 \n=> Impossible values in box: 8 3 5 9 6 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (1, 1) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 1 5 9 0 2 4 0 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (1, 4) #1, (1, 7) #1, (2, 0) #2, (2, 4) #3, (2, 5) #2, (2, 7) #2, (2, 8) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #4, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #4, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #3, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #5, (7, 8) #2, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #4, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 4) #1, \n=> Impossible values in row: 3 1 5 9 2 4 7 \n=> Impossible values in column: 1 \n=> Impossible values in box: 5 1 9 2 8 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (1, 4) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 1 5 9 6 2 4 0 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (1, 7) #1, (2, 0) #2, (2, 4) #3, (2, 5) #2, (2, 7) #2, (2, 8) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #3, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #5, (7, 8) #2, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #4, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 7) #1, \n=> Impossible values in row: 3 1 5 9 6 2 4 7 \n=> Impossible values in column: 3 5 \n=> Impossible values in box: 6 3 9 4 7 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (1, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n0 9 6 8 0 0 5 0 0 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (2, 0) #2, (2, 4) #3, (2, 5) #2, (2, 7) #2, (2, 8) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #3, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #4, (7, 8) #2, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 8) #1, \n=> Impossible values in row: 9 6 8 5 \n=> Impossible values in column: 9 7 8 2 \n=> Impossible values in box: 6 3 9 4 8 7 5 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (2, 8) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n0 9 6 8 0 0 5 0 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (2, 0) #2, (2, 4) #3, (2, 5) #2, (2, 7) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #4, (7, 8) #1, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 7) #1, \n=> Impossible values in row: 9 6 8 5 1 \n=> Impossible values in column: 3 8 5 \n=> Impossible values in box: 6 3 9 4 8 7 5 1 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (2, 7) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n0 9 6 8 0 0 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 2) #2, (0, 4) #2, (2, 0) #1, (2, 4) #3, (2, 5) #2, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #2, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 0) #1, \n=> Impossible values in row: 9 6 8 5 2 1 \n=> Impossible values in column: 3 1 7 6 \n=> Impossible values in box: 8 3 1 5 9 6 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (2, 0) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - \n</stack>\n</fill number>\n<board>\n0 8 0 5 0 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 0 0 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #1, (0, 2) #2, (0, 4) #2, (2, 4) #2, (2, 5) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 0) #1, \n=> Impossible values in row: 8 5 1 6 3 9 \n=> Impossible values in column: 3 4 1 7 6 \n=> Impossible values in box: 8 3 1 5 4 9 6 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (0, 0) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - \n</stack>\n</fill number>\n<board>\n2 8 0 5 0 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 0 0 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #1, (0, 4) #2, (2, 4) #2, (2, 5) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #2, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 2 8 5 1 6 3 9 \n=> Impossible values in column: 5 6 4 8 9 \n=> Impossible values in box: 2 8 3 1 5 4 9 6 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 2) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 0 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 0 0 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #1, (2, 4) #2, (2, 5) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #4, (6, 5) #4, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #3, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #4, (8, 5) #3, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 4) #1, \n=> Impossible values in row: 2 8 7 5 1 6 3 9 \n=> Impossible values in column: 6 1 \n=> Impossible values in box: 5 1 9 6 2 8 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 4) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 0 0 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - \n</stack>\n=> Number of possibilities (estimate): (2, 4) #2, (2, 5) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #2, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #4, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #3, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 5) #1, \n=> Impossible values in row: 4 9 6 8 5 2 1 \n=> Impossible values in column: 1 2 3 5 6 \n=> Impossible values in box: 5 4 1 9 6 2 8 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (2, 5) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 0 7 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - \n</stack>\n=> Number of possibilities (estimate): (2, 4) #1, (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #1, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #3, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 4) #1, \n=> Impossible values in row: 4 9 6 8 7 5 2 1 \n=> Impossible values in column: 4 6 1 \n=> Impossible values in box: 5 4 1 9 6 2 8 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (2, 4) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n0 2 4 0 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 3) #1, (3, 7) #2, (4, 1) #2, (4, 4) #3, (4, 5) #1, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #2, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #3, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 3) #1, \n=> Impossible values in row: 2 4 1 3 7 8 \n=> Impossible values in column: 5 9 8 4 2 3 1 \n=> Impossible values in box: 1 3 4 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (3, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n0 2 4 6 1 3 7 0 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 7) #1, (4, 1) #2, (4, 4) #3, (4, 5) #1, (4, 6) #2, (4, 7) #2, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #1, (5, 4) #3, (5, 7) #3, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #3, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 7) #1, \n=> Impossible values in row: 2 4 6 1 3 7 8 \n=> Impossible values in column: 3 8 2 5 \n=> Impossible values in box: 7 8 1 2 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (3, 7) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n0 2 4 6 1 3 7 9 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #1, (4, 1) #2, (4, 4) #3, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #1, (5, 4) #3, (5, 7) #2, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #3, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 0) #1, \n=> Impossible values in row: 2 4 6 1 3 7 9 8 \n=> Impossible values in column: 2 3 4 1 7 6 \n=> Impossible values in box: 2 4 1 8 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (3, 0) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 0 8 4 0 0 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - \n</stack>\n=> Number of possibilities (estimate): (4, 1) #2, (4, 4) #3, (4, 5) #1, (4, 6) #1, (4, 7) #1, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #1, (5, 4) #3, (5, 7) #2, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #3, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 5) #1, \n=> Impossible values in row: 1 8 4 \n=> Impossible values in column: 1 2 7 3 5 6 \n=> Impossible values in box: 6 1 3 4 5 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 5) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 0 8 4 0 9 0 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - \n</stack>\n=> Number of possibilities (estimate): (4, 1) #2, (4, 4) #2, (4, 6) #1, (4, 7) #1, (4, 8) #3, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #2, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 1 8 4 9 \n=> Impossible values in column: 6 4 5 7 1 \n=> Impossible values in box: 7 9 8 1 2 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (4, 6) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 0 8 4 0 9 3 0 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (4, 1) #2, (4, 4) #2, (4, 7) #1, (4, 8) #2, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #2, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 7) #1, \n=> Impossible values in row: 1 8 4 9 3 \n=> Impossible values in column: 3 8 2 9 5 \n=> Impossible values in box: 7 9 8 3 1 2 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 7) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 0 8 4 0 9 3 6 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - \n</stack>\n=> Number of possibilities (estimate): (4, 1) #1, (4, 4) #2, (4, 8) #1, (5, 0) #1, (5, 1) #2, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 1) #1, \n=> Impossible values in row: 1 8 4 9 3 6 \n=> Impossible values in column: 8 1 9 2 3 5 \n=> Impossible values in box: 5 2 4 1 8 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (4, 1) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 0 9 3 6 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - \n</stack>\n=> Number of possibilities (estimate): (4, 4) #1, (4, 8) #1, (5, 0) #1, (5, 1) #1, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 4) #1, \n=> Impossible values in row: 1 7 8 4 9 3 6 \n=> Impossible values in column: 4 6 3 1 \n=> Impossible values in box: 6 1 3 4 9 5 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (4, 4) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 0 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - \n</stack>\n=> Number of possibilities (estimate): (4, 8) #1, (5, 0) #1, (5, 1) #1, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 8) #1, \n=> Impossible values in row: 1 7 8 4 2 9 3 6 \n=> Impossible values in column: 9 7 1 8 2 \n=> Impossible values in box: 7 9 8 3 6 1 2 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 8) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n0 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - \n</stack>\n=> Number of possibilities (estimate): (5, 0) #1, (5, 1) #1, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 0) #1, \n=> Impossible values in row: 5 1 2 \n=> Impossible values in column: 2 3 4 5 1 7 6 \n=> Impossible values in box: 5 2 4 1 7 8 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (5, 0) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 0 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - \n</stack>\n=> Number of possibilities (estimate): (5, 1) #1, (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 1) #1, \n=> Impossible values in row: 9 5 1 2 \n=> Impossible values in column: 8 1 9 2 7 3 5 \n=> Impossible values in box: 5 2 4 1 7 8 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (5, 1) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 0 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - \n</stack>\n=> Number of possibilities (estimate): (5, 2) #1, (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 2) #1, \n=> Impossible values in row: 9 6 5 1 2 \n=> Impossible values in column: 7 5 6 4 8 9 \n=> Impossible values in box: 5 2 4 1 7 8 9 6 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (5, 2) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 0 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - \n</stack>\n=> Number of possibilities (estimate): (5, 3) #1, (5, 4) #2, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 3) #1, \n=> Impossible values in row: 9 6 3 5 1 2 \n=> Impossible values in column: 5 9 8 6 4 2 3 1 \n=> Impossible values in box: 6 1 3 4 2 9 5 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (5, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 0 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - \n</stack>\n=> Number of possibilities (estimate): (5, 4) #1, (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #3, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 4) #1, \n=> Impossible values in row: 9 6 3 7 5 1 2 \n=> Impossible values in column: 4 6 3 1 2 \n=> Impossible values in box: 6 1 3 4 2 9 7 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (5, 4) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 0 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - \n</stack>\n=> Number of possibilities (estimate): (5, 7) #1, (6, 0) #1, (6, 2) #1, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #1, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 1) #1, (8, 4) #2, (8, 5) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 7) #1, \n=> Impossible values in row: 9 6 3 7 8 5 1 2 \n=> Impossible values in column: 3 8 2 9 6 5 \n=> Impossible values in box: 7 9 8 3 6 5 1 2 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (5, 7) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n0 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - \n</stack>\n=> Number of possibilities (estimate): (6, 0) #1, (6, 2) #1, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 8) #2, (7, 2) #2, (7, 4) #1, (7, 6) #3, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #2, (8, 5) #2, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 0) #1, \n=> Impossible values in row: 3 2 5 \n=> Impossible values in column: 2 3 4 5 1 9 7 6 \n=> Impossible values in box: 3 7 5 6 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (6, 0) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 0 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - \n</stack>\n=> Number of possibilities (estimate): (6, 2) #1, (6, 4) #2, (6, 5) #1, (6, 6) #1, (6, 8) #2, (7, 2) #2, (7, 4) #1, (7, 6) #3, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #2, (8, 5) #2, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 2) #1, \n=> Impossible values in row: 8 3 2 5 \n=> Impossible values in column: 7 5 6 4 8 3 9 \n=> Impossible values in box: 8 3 7 5 6 9 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (6, 2) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 0 0 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - \n</stack>\n=> Number of possibilities (estimate): (6, 4) #2, (6, 5) #1, (6, 6) #1, (6, 8) #2, (7, 2) #1, (7, 4) #1, (7, 6) #3, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #2, (8, 5) #2, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 5) #1, \n=> Impossible values in row: 8 3 1 2 5 \n=> Impossible values in column: 1 2 7 3 9 5 6 \n=> Impossible values in box: 2 3 6 1 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (6, 5) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 0 4 0 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - \n</stack>\n=> Number of possibilities (estimate): (6, 4) #2, (6, 6) #1, (6, 8) #1, (7, 2) #1, (7, 4) #1, (7, 6) #3, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #2, (8, 5) #1, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 6) #1, \n=> Impossible values in row: 8 3 1 2 4 5 \n=> Impossible values in column: 6 4 5 7 3 1 \n=> Impossible values in box: 5 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (6, 6) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 0 4 9 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - \n</stack>\n=> Number of possibilities (estimate): (6, 4) #1, (6, 8) #1, (7, 2) #1, (7, 4) #1, (7, 6) #2, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #2, (8, 5) #1, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 4) #1, \n=> Impossible values in row: 8 3 1 2 4 9 5 \n=> Impossible values in column: 4 6 3 1 2 8 \n=> Impossible values in box: 2 4 3 6 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (6, 4) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 0 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - \n</stack>\n=> Number of possibilities (estimate): (6, 8) #1, (7, 2) #1, (7, 4) #1, (7, 6) #2, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 8) #1, \n=> Impossible values in row: 8 3 1 2 7 4 9 5 \n=> Impossible values in column: 9 7 1 8 5 2 \n=> Impossible values in box: 9 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (6, 8) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 0 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - \n</stack>\n=> Number of possibilities (estimate): (7, 2) #1, (7, 4) #1, (7, 6) #2, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 2) #1, \n=> Impossible values in row: 7 5 3 6 \n=> Impossible values in column: 7 5 6 4 8 3 1 9 \n=> Impossible values in box: 8 3 1 7 5 6 9 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (7, 2) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 0 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - \n</stack>\n=> Number of possibilities (estimate): (7, 4) #1, (7, 6) #1, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 4) #1, \n=> Impossible values in row: 7 5 2 3 6 \n=> Impossible values in column: 4 6 3 1 2 8 7 \n=> Impossible values in box: 2 7 4 3 6 1 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (7, 4) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 0 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - \n</stack>\n=> Number of possibilities (estimate): (7, 6) #1, (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 6) #1, \n=> Impossible values in row: 7 5 2 3 9 6 \n=> Impossible values in column: 6 4 5 7 3 1 9 \n=> Impossible values in box: 9 5 6 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (7, 6) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 0 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - \n</stack>\n=> Number of possibilities (estimate): (7, 7) #1, (7, 8) #1, (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 7) #1, \n=> Impossible values in row: 7 5 2 3 9 6 8 \n=> Impossible values in column: 3 8 2 9 6 4 5 \n=> Impossible values in box: 9 5 6 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (7, 7) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 0 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - \n</stack>\n=> Number of possibilities (estimate): (7, 8) #1, (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 8) #1, \n=> Impossible values in row: 7 5 2 3 9 6 8 1 \n=> Impossible values in column: 9 7 1 8 5 2 6 \n=> Impossible values in box: 9 5 6 8 1 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (7, 8) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 0 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - \n</stack>\n=> Number of possibilities (estimate): (8, 1) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 1) #1, \n=> Impossible values in row: 6 9 1 \n=> Impossible values in column: 8 1 9 2 7 6 3 5 \n=> Impossible values in box: 8 3 1 7 5 2 6 9 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (8, 1) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 0 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - \n</stack>\n=> Number of possibilities (estimate): (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 6 4 9 1 \n=> Impossible values in column: 4 6 3 1 2 8 7 9 \n=> Impossible values in box: 2 7 4 3 9 6 1 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (8, 4) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 5 0 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): (8, 5) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 5) #1, \n=> Impossible values in row: 6 4 9 1 5 \n=> Impossible values in column: 1 2 7 3 9 5 4 6 \n=> Impossible values in box: 2 7 4 3 9 6 1 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (8, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 5 8 0 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - \n</stack>\n=> Number of possibilities (estimate): (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 6) #1, \n=> Impossible values in row: 6 4 9 1 5 8 \n=> Impossible values in column: 6 4 5 7 3 1 9 8 \n=> Impossible values in box: 9 5 6 8 1 4 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (8, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - (8, 6) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 5 8 2 0 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - (8, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 7) #1, \n=> Impossible values in row: 6 4 9 1 5 8 2 \n=> Impossible values in column: 3 8 2 9 6 4 5 1 \n=> Impossible values in box: 9 5 6 8 1 4 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (8, 7) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - (8, 6) - (8, 7) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 5 8 2 7 0 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - (8, 6) - (8, 7) - \n</stack>\n=> Number of possibilities (estimate): (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 8) #1, \n=> Impossible values in row: 6 4 9 1 5 8 2 7 \n=> Impossible values in column: 9 7 1 8 5 2 6 4 \n=> Impossible values in box: 9 5 6 8 1 4 2 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (8, 8) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - (8, 6) - (8, 7) - (8, 8) - \n</stack>\n</fill number>\n<board>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 5 8 2 7 3 \n</board>\n<stack>\n(0, 8) - (1, 0) - (1, 1) - (1, 4) - (1, 7) - (2, 8) - (2, 7) - (2, 0) - (0, 0) - (0, 2) - (0, 4) - (2, 5) - (2, 4) - (3, 3) - (3, 7) - (3, 0) - (4, 5) - (4, 6) - (4, 7) - (4, 1) - (4, 4) - (4, 8) - (5, 0) - (5, 1) - (5, 2) - (5, 3) - (5, 4) - (5, 7) - (6, 0) - (6, 2) - (6, 5) - (6, 6) - (6, 4) - (6, 8) - (7, 2) - (7, 4) - (7, 6) - (7, 7) - (7, 8) - (8, 1) - (8, 4) - (8, 5) - (8, 6) - (8, 7) - (8, 8) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n2 8 7 5 4 1 6 3 9 \n3 1 5 9 6 2 4 8 7 \n4 9 6 8 3 7 5 2 1 \n5 2 4 6 1 3 7 9 8 \n1 7 8 4 2 9 3 6 5 \n9 6 3 7 8 5 1 4 2 \n8 3 1 2 7 4 9 5 6 \n7 5 2 3 9 6 8 1 4 \n6 4 9 1 5 8 2 7 3 \n</output>\n\n"}
{"text": "<input>\n0 0 9 0 2 0 0 0 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</input>\n\n<reasoning>\n<board>\n0 0 9 0 2 0 0 0 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 0) #1, (0, 1) #3, (0, 3) #3, (0, 5) #2, (0, 6) #5, (0, 7) #1, (1, 0) #2, (1, 1) #4, (1, 3) #3, (1, 4) #4, (1, 6) #3, (2, 2) #3, (2, 3) #3, (2, 6) #3, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #3, (3, 6) #3, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #3, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #5, (8, 2) #4, (8, 3) #3, (8, 4) #4, (8, 5) #3, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 0) #1, \n=> Impossible values in row: 9 2 8 \n=> Impossible values in column: 7 6 3 9 1 5 8 \n=> Impossible values in box: 9 1 7 3 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 0) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - \n</stack>\n</fill number>\n<board>\n4 0 9 0 2 0 0 0 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 3) #2, (0, 5) #1, (0, 6) #4, (0, 7) #1, (1, 0) #1, (1, 1) #3, (1, 3) #3, (1, 4) #4, (1, 6) #3, (2, 2) #2, (2, 3) #3, (2, 6) #3, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #3, (3, 6) #3, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #3, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #5, (8, 2) #4, (8, 3) #3, (8, 4) #4, (8, 5) #3, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 5) #1, \n=> Impossible values in row: 4 9 2 8 \n=> Impossible values in column: 3 6 7 5 2 \n=> Impossible values in box: 2 3 9 6 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (0, 5) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - \n</stack>\n</fill number>\n<board>\n4 0 9 0 2 1 0 0 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 3) #1, (0, 6) #3, (0, 7) #1, (1, 0) #1, (1, 1) #3, (1, 3) #3, (1, 4) #4, (1, 6) #3, (2, 2) #2, (2, 3) #2, (2, 6) #3, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #3, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #5, (8, 2) #4, (8, 3) #3, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 4 9 2 1 8 \n=> Impossible values in column: 9 6 5 3 \n=> Impossible values in box: 2 1 3 9 6 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - \n</stack>\n</fill number>\n<board>\n4 0 9 7 2 1 0 0 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 6) #2, (0, 7) #1, (1, 0) #1, (1, 1) #3, (1, 3) #2, (1, 4) #3, (1, 6) #3, (2, 2) #2, (2, 3) #2, (2, 6) #3, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #3, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #5, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 7) #1, \n=> Impossible values in row: 4 9 7 2 1 8 \n=> Impossible values in column: 6 2 7 8 4 1 3 \n=> Impossible values in box: 8 6 9 2 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (0, 7) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - \n</stack>\n</fill number>\n<board>\n4 0 9 7 2 1 0 5 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 6) #1, (1, 0) #1, (1, 1) #3, (1, 3) #2, (1, 4) #3, (1, 6) #2, (2, 2) #2, (2, 3) #2, (2, 6) #2, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #3, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #5, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 4 9 7 2 1 5 8 \n=> Impossible values in column: 3 1 \n=> Impossible values in box: 4 9 1 7 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (0, 1) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 0 5 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 6) #1, (1, 0) #1, (1, 1) #3, (1, 3) #2, (1, 4) #3, (1, 6) #2, (2, 2) #2, (2, 3) #2, (2, 6) #2, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #1, \n=> Impossible values in row: 4 6 9 7 2 1 5 8 \n=> Impossible values in column: 6 9 \n=> Impossible values in box: 5 8 6 9 2 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (0, 6) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n0 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - \n</stack>\n=> Number of possibilities (estimate): (1, 0) #1, (1, 1) #3, (1, 3) #2, (1, 4) #3, (1, 6) #2, (2, 2) #2, (2, 3) #2, (2, 6) #2, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 0) #1, \n=> Impossible values in row: 1 3 6 9 \n=> Impossible values in column: 4 7 6 3 9 1 5 8 \n=> Impossible values in box: 4 6 9 1 7 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (1, 0) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 0 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #2, (1, 3) #2, (1, 4) #3, (1, 6) #2, (2, 2) #2, (2, 3) #2, (2, 6) #2, (2, 8) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #3, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 8) #1, \n=> Impossible values in row: 7 3 9 6 2 \n=> Impossible values in column: 8 9 5 4 7 6 \n=> Impossible values in box: 3 5 8 6 9 2 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (2, 8) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 0 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #2, (1, 3) #2, (1, 4) #3, (1, 6) #2, (2, 2) #2, (2, 3) #2, (2, 6) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 6) #1, \n=> Impossible values in row: 7 3 9 6 2 1 \n=> Impossible values in column: 3 6 9 \n=> Impossible values in box: 3 5 8 6 9 2 1 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (2, 6) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 0 0 3 0 6 9 \n7 3 0 0 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #2, (1, 3) #2, (1, 4) #3, (1, 6) #1, (2, 2) #2, (2, 3) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 6) #1, \n=> Impossible values in row: 2 1 3 6 9 \n=> Impossible values in column: 3 4 6 9 \n=> Impossible values in box: 3 5 8 6 9 4 2 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (1, 6) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 0 0 3 7 6 9 \n7 3 0 0 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #2, (1, 3) #2, (1, 4) #3, (2, 2) #2, (2, 3) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 3) #1, \n=> Impossible values in row: 7 3 9 6 4 2 1 \n=> Impossible values in column: 7 9 6 5 3 \n=> Impossible values in box: 7 2 1 3 9 6 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (2, 3) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 0 0 3 7 6 9 \n7 3 0 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #2, (1, 3) #1, (1, 4) #2, (2, 2) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 3) #1, \n=> Impossible values in row: 2 1 3 7 6 9 \n=> Impossible values in column: 7 8 9 6 5 3 \n=> Impossible values in box: 7 2 1 3 8 9 6 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (1, 3) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 4 0 3 7 6 9 \n7 3 0 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #2, (1, 4) #1, (2, 2) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 4) #1, \n=> Impossible values in row: 2 1 4 3 7 6 9 \n=> Impossible values in column: 2 9 3 \n=> Impossible values in box: 7 2 1 4 3 8 9 6 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (1, 4) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 0 1 4 5 3 7 6 9 \n7 3 0 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - \n</stack>\n=> Number of possibilities (estimate): (1, 1) #1, (2, 2) #1, (3, 1) #4, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #3, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 1) #1, \n=> Impossible values in row: 2 1 4 5 3 7 6 9 \n=> Impossible values in column: 6 3 1 \n=> Impossible values in box: 4 6 9 2 1 7 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (1, 1) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 0 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - \n</stack>\n=> Number of possibilities (estimate): (2, 2) #1, (3, 1) #3, (3, 2) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 2) #1, \n=> Impossible values in row: 7 3 8 9 6 4 2 1 \n=> Impossible values in column: 9 1 \n=> Impossible values in box: 4 6 9 2 8 1 7 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (2, 2) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 0 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #3, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #3, (4, 4) #3, (4, 6) #2, (4, 7) #1, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 7) #1, \n=> Impossible values in row: 3 6 7 5 \n=> Impossible values in column: 5 6 2 7 8 4 1 3 \n=> Impossible values in box: 7 5 6 8 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 7) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 0 0 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #3, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #3, (4, 4) #3, (4, 6) #2, (5, 2) #2, (5, 3) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 3) #1, \n=> Impossible values in row: 9 1 3 5 6 8 4 \n=> Impossible values in column: 7 4 8 9 6 5 3 \n=> Impossible values in box: 9 6 7 3 5 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (5, 3) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 0 2 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #3, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #3, (4, 4) #3, (4, 6) #2, (5, 2) #1, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #2, (7, 4) #3, (8, 1) #4, (8, 2) #4, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 2) #1, \n=> Impossible values in row: 9 1 2 3 5 6 8 4 \n=> Impossible values in column: 9 1 5 \n=> Impossible values in box: 6 3 9 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (5, 2) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 0 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #3, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #3, (4, 4) #3, (4, 6) #2, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #2, (7, 2) #1, (7, 4) #3, (8, 1) #4, (8, 2) #3, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 2) #1, \n=> Impossible values in row: 5 3 2 9 1 6 \n=> Impossible values in column: 9 1 5 7 \n=> Impossible values in box: 1 5 8 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (7, 2) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 0 4 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #2, (4, 4) #3, (4, 6) #2, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 1) #1, (7, 4) #2, (8, 1) #3, (8, 2) #2, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 1) #1, \n=> Impossible values in row: 5 4 3 2 9 1 6 \n=> Impossible values in column: 6 8 3 1 \n=> Impossible values in box: 1 5 4 8 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 1) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 7 4 3 0 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 4) #3, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #2, (4, 4) #3, (4, 6) #2, (6, 1) #2, (6, 2) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (7, 4) #1, (8, 1) #2, (8, 2) #2, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 4) #1, \n=> Impossible values in row: 5 7 4 3 2 9 1 6 \n=> Impossible values in column: 2 5 9 3 \n=> Impossible values in box: 5 3 2 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (7, 4) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 0 0 5 0 0 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #2, (4, 4) #2, (4, 6) #2, (6, 1) #2, (6, 2) #3, (6, 4) #1, (6, 5) #1, (6, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #1, (8, 4) #4, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 4) #1, \n=> Impossible values in row: 1 5 4 7 \n=> Impossible values in column: 2 5 9 3 8 \n=> Impossible values in box: 5 3 8 2 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (6, 4) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 0 0 5 6 0 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #2, (4, 4) #2, (4, 6) #2, (6, 1) #2, (6, 2) #2, (6, 5) #1, (6, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #1, (8, 4) #3, (8, 5) #2, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 5) #1, \n=> Impossible values in row: 1 5 6 4 7 \n=> Impossible values in column: 1 3 6 7 5 2 \n=> Impossible values in box: 5 6 3 8 2 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (6, 5) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 0 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #2, (4, 2) #2, (4, 4) #2, (4, 6) #2, (6, 1) #1, (6, 2) #2, (6, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #1, (8, 4) #3, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 1) #1, \n=> Impossible values in row: 1 5 6 9 4 7 \n=> Impossible values in column: 6 8 3 1 7 \n=> Impossible values in box: 1 5 7 4 8 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (6, 1) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 0 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 1) #1, (4, 2) #2, (4, 4) #2, (4, 6) #2, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #3, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 1) #1, \n=> Impossible values in row: 3 6 7 9 5 \n=> Impossible values in column: 6 8 3 1 2 7 \n=> Impossible values in box: 6 3 9 1 7 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (4, 1) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 0 0 9 0 0 0 7 0 \n3 4 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #1, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 2) #2, (4, 4) #1, (4, 6) #2, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #3, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 1) #1, \n=> Impossible values in row: 6 9 7 \n=> Impossible values in column: 6 8 3 4 1 2 7 \n=> Impossible values in box: 6 3 4 9 1 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (3, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 0 9 0 0 0 7 0 \n3 4 0 6 0 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 2) #2, (4, 4) #1, (4, 6) #2, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #3, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 4) #1, \n=> Impossible values in row: 3 4 6 7 9 5 \n=> Impossible values in column: 2 5 9 3 6 8 \n=> Impossible values in box: 9 6 7 2 3 5 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (4, 4) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 0 9 0 0 0 7 0 \n3 4 0 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 2) #2, (3, 4) #1, (3, 5) #2, (3, 6) #2, (3, 8) #2, (4, 2) #2, (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #2, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 4) #1, \n=> Impossible values in row: 6 5 9 7 \n=> Impossible values in column: 2 5 9 1 3 6 8 \n=> Impossible values in box: 9 6 1 7 2 3 5 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (3, 4) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 0 9 4 0 0 7 0 \n3 4 0 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 2) #2, (3, 5) #1, (3, 6) #2, (3, 8) #2, (4, 2) #2, (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 5) #1, \n=> Impossible values in row: 6 5 9 4 7 \n=> Impossible values in column: 1 3 6 7 5 9 2 \n=> Impossible values in box: 9 4 6 1 7 2 3 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (3, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 0 9 4 8 0 7 0 \n3 4 0 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - \n</stack>\n=> Number of possibilities (estimate): (3, 2) #1, (3, 6) #2, (3, 8) #2, (4, 2) #2, (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 2) #1, \n=> Impossible values in row: 6 5 9 4 8 7 \n=> Impossible values in column: 9 1 5 7 4 \n=> Impossible values in box: 6 5 3 4 9 1 7 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (3, 2) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 0 7 0 \n3 4 0 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 6) #1, (3, 8) #1, (4, 2) #1, (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 6) #1, \n=> Impossible values in row: 6 5 2 9 4 8 7 \n=> Impossible values in column: 3 7 4 6 9 \n=> Impossible values in box: 7 9 5 6 8 4 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (3, 6) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 0 \n3 4 0 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 8) #1, (4, 2) #1, (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 8) #1, \n=> Impossible values in row: 6 5 2 9 4 8 1 7 \n=> Impossible values in column: 8 9 1 5 4 7 6 \n=> Impossible values in box: 1 7 9 5 6 8 4 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (3, 8) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 0 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - \n</stack>\n=> Number of possibilities (estimate): (4, 2) #1, (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 2) #1, \n=> Impossible values in row: 3 4 6 1 7 9 5 \n=> Impossible values in column: 9 1 5 2 7 4 \n=> Impossible values in box: 6 5 2 3 4 9 1 7 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (4, 2) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 0 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - \n</stack>\n=> Number of possibilities (estimate): (4, 6) #1, (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 3 4 8 6 1 7 9 5 \n=> Impossible values in column: 3 7 4 1 6 9 \n=> Impossible values in box: 1 7 3 9 5 6 8 4 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (4, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 0 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (6, 2) #1, (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 2) #1, \n=> Impossible values in row: 1 2 5 6 9 4 7 \n=> Impossible values in column: 9 1 5 2 8 7 4 \n=> Impossible values in box: 1 2 5 7 4 8 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (6, 2) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 0 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - \n</stack>\n=> Number of possibilities (estimate): (6, 6) #1, (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 6) #1, \n=> Impossible values in row: 1 2 3 5 6 9 4 7 \n=> Impossible values in column: 3 7 4 1 2 6 9 \n=> Impossible values in box: 4 7 9 1 6 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (6, 6) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 0 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 1) #1, \n=> Impossible values in row: 8 3 \n=> Impossible values in column: 6 8 3 5 4 1 2 7 \n=> Impossible values in box: 1 2 3 5 7 4 8 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (8, 1) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 0 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - \n</stack>\n=> Number of possibilities (estimate): (8, 2) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 2) #1, \n=> Impossible values in row: 8 9 3 \n=> Impossible values in column: 9 1 5 2 8 7 3 4 \n=> Impossible values in box: 1 2 3 5 7 4 8 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (8, 2) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 0 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - \n</stack>\n=> Number of possibilities (estimate): (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 3) #1, \n=> Impossible values in row: 8 9 6 3 \n=> Impossible values in column: 7 4 8 9 6 2 5 3 \n=> Impossible values in box: 5 6 9 3 8 2 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 3) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 1 0 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - \n</stack>\n=> Number of possibilities (estimate): (8, 4) #1, (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 8 9 6 1 3 \n=> Impossible values in column: 2 5 9 4 1 3 6 8 \n=> Impossible values in box: 5 6 9 3 8 2 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (8, 4) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 1 7 0 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): (8, 5) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 5) #1, \n=> Impossible values in row: 8 9 6 1 7 3 \n=> Impossible values in column: 1 3 6 8 7 5 9 2 \n=> Impossible values in box: 5 6 9 3 8 2 1 7 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (8, 5) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - (8, 5) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 1 7 4 0 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - (8, 5) - \n</stack>\n=> Number of possibilities (estimate): (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 6) #1, \n=> Impossible values in row: 8 9 6 1 7 4 3 \n=> Impossible values in column: 3 7 4 1 2 6 8 9 \n=> Impossible values in box: 8 4 7 9 1 6 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (8, 6) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - (8, 5) - (8, 6) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 1 7 4 5 3 0 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - (8, 5) - (8, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 8) #1, \n=> Impossible values in row: 8 9 6 1 7 4 5 3 \n=> Impossible values in column: 8 9 1 3 5 4 7 6 \n=> Impossible values in box: 8 4 7 9 1 6 5 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (8, 8) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - (8, 5) - (8, 6) - (8, 8) - \n</stack>\n</fill number>\n<board>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 1 7 4 5 3 2 \n</board>\n<stack>\n(0, 0) - (0, 5) - (0, 3) - (0, 7) - (0, 1) - (0, 6) - (1, 0) - (2, 8) - (2, 6) - (1, 6) - (2, 3) - (1, 3) - (1, 4) - (1, 1) - (2, 2) - (4, 7) - (5, 3) - (5, 2) - (7, 2) - (7, 1) - (7, 4) - (6, 4) - (6, 5) - (6, 1) - (4, 1) - (3, 1) - (4, 4) - (3, 4) - (3, 5) - (3, 2) - (3, 6) - (3, 8) - (4, 2) - (4, 6) - (6, 2) - (6, 6) - (8, 1) - (8, 2) - (8, 3) - (8, 4) - (8, 5) - (8, 6) - (8, 8) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n4 6 9 7 2 1 3 5 8 \n2 8 1 4 5 3 7 6 9 \n7 3 5 8 9 6 4 2 1 \n6 5 2 9 4 8 1 7 3 \n3 4 8 6 1 7 2 9 5 \n9 1 7 2 3 5 6 8 4 \n1 2 3 5 6 9 8 4 7 \n5 7 4 3 8 2 9 1 6 \n8 9 6 1 7 4 5 3 2 \n</output>\n\n"}
{"text": "<input>\n0 0 9 0 0 6 5 0 0 \n1 0 0 9 3 0 2 0 6 \n8 0 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</input>\n\n<reasoning>\n<board>\n0 0 9 0 0 6 5 0 0 \n1 0 0 9 3 0 2 0 6 \n8 0 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 0) #4, (0, 1) #3, (0, 3) #2, (0, 4) #4, (0, 7) #2, (0, 8) #2, (1, 1) #3, (1, 2) #1, (1, 5) #2, (1, 7) #2, (2, 1) #1, (2, 4) #2, (2, 6) #3, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #3, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #2, (4, 4) #3, (4, 6) #3, (5, 2) #3, (5, 3) #2, (5, 5) #2, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #3, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #3, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 2) #1, \n=> Impossible values in row: 1 9 3 2 6 \n=> Impossible values in column: 9 6 7 3 4 \n=> Impossible values in box: 9 1 8 6 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (1, 2) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - \n</stack>\n</fill number>\n<board>\n0 0 9 0 0 6 5 0 0 \n1 0 5 9 3 0 2 0 6 \n8 0 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #4, (0, 1) #3, (0, 3) #2, (0, 4) #4, (0, 7) #2, (0, 8) #2, (1, 1) #2, (1, 5) #2, (1, 7) #2, (2, 1) #1, (2, 4) #2, (2, 6) #3, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #3, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #2, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #3, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 1) #1, \n=> Impossible values in row: 8 6 5 2 3 4 \n=> Impossible values in column: 3 1 8 6 \n=> Impossible values in box: 9 1 5 8 6 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (2, 1) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - \n</stack>\n</fill number>\n<board>\n0 0 9 0 0 6 5 0 0 \n1 0 5 9 3 0 2 0 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #2, (0, 3) #2, (0, 4) #4, (0, 7) #2, (0, 8) #2, (1, 1) #1, (1, 5) #2, (1, 7) #2, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #3, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #2, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 1) #1, \n=> Impossible values in row: 1 5 9 3 2 6 \n=> Impossible values in column: 7 3 1 8 6 \n=> Impossible values in box: 9 1 5 8 7 6 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (1, 1) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - \n</stack>\n</fill number>\n<board>\n0 0 9 0 0 6 5 0 0 \n1 4 5 9 3 0 2 0 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #1, (0, 3) #2, (0, 4) #4, (0, 7) #2, (0, 8) #2, (1, 5) #1, (1, 7) #2, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #3, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #2, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 9 6 5 \n=> Impossible values in column: 4 7 3 1 8 6 \n=> Impossible values in box: 9 1 4 5 8 7 6 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (0, 1) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - \n</stack>\n</fill number>\n<board>\n0 2 9 0 0 6 5 0 0 \n1 4 5 9 3 0 2 0 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #1, (0, 3) #2, (0, 4) #4, (0, 7) #2, (0, 8) #2, (1, 5) #1, (1, 7) #2, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #3, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #2, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 0) #1, \n=> Impossible values in row: 2 9 6 5 \n=> Impossible values in column: 1 8 6 \n=> Impossible values in box: 2 9 1 4 5 8 7 6 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (0, 0) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - \n</stack>\n</fill number>\n<board>\n3 2 9 0 0 6 5 0 0 \n1 4 5 9 3 0 2 0 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #4, (0, 7) #2, (0, 8) #2, (1, 5) #1, (1, 7) #2, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #3, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #2, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 5) #1, \n=> Impossible values in row: 1 4 5 9 3 2 6 \n=> Impossible values in column: 6 2 7 3 \n=> Impossible values in box: 6 9 3 5 2 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (1, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - \n</stack>\n</fill number>\n<board>\n3 2 9 0 0 6 5 0 0 \n1 4 5 9 3 8 2 0 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #3, (0, 7) #2, (0, 8) #2, (1, 7) #1, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #2, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #6, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #5, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #5, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 7) #1, \n=> Impossible values in row: 1 4 5 9 3 8 2 6 \n=> Impossible values in column: 3 1 \n=> Impossible values in box: 5 2 6 3 4 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (1, 7) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 0 0 6 5 0 0 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #3, (0, 7) #1, (0, 8) #2, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #2, (3, 6) #3, (3, 7) #4, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #3, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #4, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 7) #1, \n=> Impossible values in row: 3 2 9 6 5 \n=> Impossible values in column: 7 3 1 \n=> Impossible values in box: 5 2 7 6 3 4 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (0, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 0 0 6 5 8 0 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #3, (0, 8) #1, (2, 4) #1, (2, 6) #2, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #4, (7, 8) #2, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 8) #1, \n=> Impossible values in row: 3 2 9 6 5 8 \n=> Impossible values in column: 6 4 9 2 7 3 \n=> Impossible values in box: 5 8 2 7 6 3 4 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (0, 8) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - \n</stack>\n</fill number>\n<board>\n3 2 9 0 0 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #1, (0, 4) #2, (2, 4) #1, (2, 6) #1, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #3, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #2, (8, 4) #3, (8, 6) #4, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 3 2 9 6 5 8 1 \n=> Impossible values in column: 9 5 4 8 \n=> Impossible values in box: 6 9 3 8 5 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 0 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #1, (2, 4) #1, (2, 6) #1, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #2, (6, 4) #5, (6, 5) #4, (6, 6) #5, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #3, (8, 6) #4, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 4) #1, \n=> Impossible values in row: 3 2 9 7 6 5 8 1 \n=> Impossible values in column: 3 9 2 \n=> Impossible values in box: 7 6 9 3 8 5 2 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 4) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 0 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - \n</stack>\n=> Number of possibilities (estimate): (2, 4) #1, (2, 6) #1, (3, 0) #3, (3, 3) #3, (3, 4) #4, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #2, (6, 4) #4, (6, 5) #4, (6, 6) #5, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #3, (8, 6) #4, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 4) #1, \n=> Impossible values in row: 8 7 6 5 2 3 4 \n=> Impossible values in column: 4 3 9 2 \n=> Impossible values in box: 7 4 6 9 3 8 5 2 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (2, 4) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 0 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - \n</stack>\n=> Number of possibilities (estimate): (2, 6) #1, (3, 0) #3, (3, 3) #3, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #2, (6, 4) #3, (6, 5) #4, (6, 6) #5, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #5, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #4, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 6) #1, \n=> Impossible values in row: 8 7 6 5 1 2 3 4 \n=> Impossible values in column: 5 2 \n=> Impossible values in box: 5 8 1 2 7 6 3 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (2, 6) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 0 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #3, (3, 3) #3, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 2) #1, (4, 4) #3, (4, 6) #3, (5, 2) #2, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #2, (6, 4) #3, (6, 5) #4, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 2) #1, \n=> Impossible values in row: 4 7 1 2 \n=> Impossible values in column: 9 5 6 7 3 4 \n=> Impossible values in box: 3 7 6 1 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (4, 2) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 8 4 0 7 0 1 2 \n6 1 0 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #3, (3, 3) #3, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 4) #2, (4, 6) #2, (5, 2) #1, (5, 3) #2, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #2, (6, 3) #2, (6, 4) #3, (6, 5) #4, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 2) #1, \n=> Impossible values in row: 6 1 9 7 \n=> Impossible values in column: 9 5 6 7 8 3 4 \n=> Impossible values in box: 3 7 8 6 1 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (5, 2) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 8 4 0 7 0 1 2 \n6 1 2 0 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 3) #3, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 4) #2, (4, 6) #2, (5, 3) #1, (5, 5) #1, (5, 6) #3, (5, 7) #2, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #3, (6, 5) #4, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 3) #1, \n=> Impossible values in row: 6 1 2 9 7 \n=> Impossible values in column: 7 9 5 4 8 \n=> Impossible values in box: 4 7 9 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (5, 3) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 8 4 0 7 0 1 2 \n6 1 2 3 9 0 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 3) #3, (3, 4) #3, (3, 5) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 4) #2, (4, 6) #2, (5, 5) #1, (5, 6) #2, (5, 7) #2, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #3, (6, 5) #4, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #4, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 5) #1, \n=> Impossible values in row: 6 1 2 3 9 7 \n=> Impossible values in column: 6 8 2 7 3 \n=> Impossible values in box: 4 7 3 9 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (5, 5) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 0 0 0 9 \n0 0 8 4 0 7 0 1 2 \n6 1 2 3 9 5 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 3) #3, (3, 4) #2, (3, 5) #1, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 4) #1, (4, 6) #2, (5, 6) #2, (5, 7) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #3, (6, 5) #3, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #3, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 5) #1, \n=> Impossible values in row: 3 7 9 \n=> Impossible values in column: 6 8 2 7 5 3 \n=> Impossible values in box: 4 7 3 9 5 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (3, 5) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 1 0 0 9 \n0 0 8 4 0 7 0 1 2 \n6 1 2 3 9 5 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 3) #2, (3, 4) #2, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 4) #1, (4, 6) #2, (5, 6) #2, (5, 7) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #3, (6, 5) #2, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 4) #1, \n=> Impossible values in row: 8 4 7 1 2 \n=> Impossible values in column: 4 3 1 9 2 \n=> Impossible values in box: 1 4 7 3 9 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 4) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 0 0 1 0 0 9 \n0 0 8 4 6 7 0 1 2 \n6 1 2 3 9 5 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 3) #1, (3, 4) #1, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 6) #1, (5, 6) #2, (5, 7) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 3) #1, \n=> Impossible values in row: 3 7 1 9 \n=> Impossible values in column: 7 9 5 4 3 8 \n=> Impossible values in box: 1 4 6 7 3 9 5 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (3, 3) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 2 0 1 0 0 9 \n0 0 8 4 6 7 0 1 2 \n6 1 2 3 9 5 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 4) #1, (3, 6) #3, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 6) #1, (5, 6) #2, (5, 7) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 4) #1, \n=> Impossible values in row: 3 7 2 1 9 \n=> Impossible values in column: 4 3 1 6 9 2 \n=> Impossible values in box: 2 1 4 6 7 3 9 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (3, 4) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 2 8 1 0 0 9 \n0 0 8 4 6 7 0 1 2 \n6 1 2 3 9 5 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 6) #2, (3, 7) #3, (4, 0) #2, (4, 1) #2, (4, 6) #1, (5, 6) #2, (5, 7) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 8 4 6 7 1 2 \n=> Impossible values in column: 5 2 9 \n=> Impossible values in box: 9 1 2 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (4, 6) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 2 8 1 0 0 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 0 0 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 6) #2, (3, 7) #3, (4, 0) #2, (4, 1) #2, (5, 6) #2, (5, 7) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #4, (6, 7) #5, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #4, (7, 7) #4, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 7) #1, \n=> Impossible values in row: 6 1 2 3 9 5 7 \n=> Impossible values in column: 8 7 3 1 \n=> Impossible values in box: 9 3 1 2 7 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (5, 7) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 2 8 1 0 0 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 0 4 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 6) #1, (3, 7) #2, (4, 0) #2, (4, 1) #2, (5, 6) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #4, (6, 7) #4, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #4, (7, 7) #3, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 6) #1, \n=> Impossible values in row: 3 7 2 8 1 9 \n=> Impossible values in column: 5 2 9 3 \n=> Impossible values in box: 9 3 1 2 4 7 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (3, 6) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 2 8 1 6 0 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 0 4 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #2, (3, 7) #1, (4, 0) #2, (4, 1) #2, (5, 6) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 7) #4, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #3, (7, 7) #3, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #3, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 7) #1, \n=> Impossible values in row: 3 7 2 8 1 6 9 \n=> Impossible values in column: 8 7 3 1 4 \n=> Impossible values in box: 6 9 3 1 2 4 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (3, 7) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n0 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 0 4 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - \n</stack>\n=> Number of possibilities (estimate): (3, 0) #1, (4, 0) #2, (4, 1) #2, (5, 6) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 7) #3, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 0) #1, \n=> Impossible values in row: 3 7 2 8 1 6 5 9 \n=> Impossible values in column: 3 1 8 6 \n=> Impossible values in box: 3 7 8 6 1 2 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (3, 0) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 0 4 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #2, (4, 1) #2, (5, 6) #1, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 7) #3, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 6) #1, \n=> Impossible values in row: 6 1 2 3 9 5 4 7 \n=> Impossible values in column: 5 2 9 6 3 \n=> Impossible values in box: 6 5 9 3 1 2 4 7 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (5, 6) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 0 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #2, (4, 1) #2, (6, 0) #4, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 7) #3, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 2) #1, \n=> Impossible values in row: 8 3 \n=> Impossible values in column: 9 5 6 7 8 2 3 4 \n=> Impossible values in box: 8 3 6 4 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (6, 2) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 0 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #2, (4, 1) #2, (6, 0) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #3, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 3) #1, \n=> Impossible values in row: 8 1 3 \n=> Impossible values in column: 7 9 5 2 4 3 8 \n=> Impossible values in box: 8 2 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (6, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n0 0 3 8 2 0 0 0 0 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #2, (4, 1) #2, (6, 0) #4, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #2, (7, 0) #3, (7, 1) #2, (7, 5) #2, (7, 6) #3, (7, 7) #2, (7, 8) #1, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 8) #1, \n=> Impossible values in row: 3 8 2 \n=> Impossible values in column: 1 6 4 9 2 7 3 \n=> Impossible values in box: 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (7, 8) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n0 0 3 8 2 0 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #2, (4, 1) #2, (6, 0) #4, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #2, (7, 0) #2, (7, 1) #1, (7, 5) #2, (7, 6) #3, (7, 7) #2, (8, 0) #4, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 1) #1, \n=> Impossible values in row: 3 8 2 5 \n=> Impossible values in column: 2 4 7 3 1 8 6 \n=> Impossible values in box: 8 1 3 6 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (7, 1) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 0 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n0 9 3 8 2 0 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #2, (4, 1) #1, (6, 0) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #2, (7, 0) #1, (7, 5) #1, (7, 6) #3, (7, 7) #1, (8, 0) #3, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 1) #1, \n=> Impossible values in row: 8 4 6 7 3 1 2 \n=> Impossible values in column: 2 4 7 3 1 8 9 6 \n=> Impossible values in box: 4 3 7 8 6 1 2 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n0 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n0 9 3 8 2 0 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - \n</stack>\n=> Number of possibilities (estimate): (4, 0) #1, (6, 0) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #2, (7, 0) #1, (7, 5) #1, (7, 6) #3, (7, 7) #1, (8, 0) #3, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 5 8 4 6 7 3 1 2 \n=> Impossible values in column: 3 1 8 4 6 \n=> Impossible values in box: 4 3 7 5 8 6 1 2 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 0) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n0 9 3 8 2 0 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - \n</stack>\n=> Number of possibilities (estimate): (6, 0) #3, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #2, (7, 0) #1, (7, 5) #1, (7, 6) #3, (7, 7) #1, (8, 0) #3, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 0) #1, \n=> Impossible values in row: 9 3 8 2 5 \n=> Impossible values in column: 3 1 8 4 9 6 \n=> Impossible values in box: 8 1 9 3 6 4 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 0) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n7 9 3 8 2 0 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - \n</stack>\n=> Number of possibilities (estimate): (6, 0) #2, (6, 4) #2, (6, 5) #2, (6, 6) #2, (6, 7) #2, (7, 5) #1, (7, 6) #2, (7, 7) #1, (8, 0) #2, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 5) #1, \n=> Impossible values in row: 7 9 3 8 2 5 \n=> Impossible values in column: 6 8 2 1 7 5 3 \n=> Impossible values in box: 6 8 2 3 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (7, 5) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 0 0 0 3 \n7 9 3 8 2 4 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - \n</stack>\n=> Number of possibilities (estimate): (6, 0) #2, (6, 4) #2, (6, 5) #1, (6, 6) #2, (6, 7) #2, (7, 6) #1, (7, 7) #1, (8, 0) #2, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 5) #1, \n=> Impossible values in row: 8 1 6 3 \n=> Impossible values in column: 6 8 2 1 7 5 4 3 \n=> Impossible values in box: 6 8 2 4 3 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (6, 5) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 9 0 0 3 \n7 9 3 8 2 4 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - \n</stack>\n=> Number of possibilities (estimate): (6, 0) #2, (6, 4) #2, (6, 6) #2, (6, 7) #1, (7, 6) #1, (7, 7) #1, (8, 0) #2, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #2, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 7) #1, \n=> Impossible values in row: 8 1 6 9 3 \n=> Impossible values in column: 8 7 3 5 1 4 \n=> Impossible values in box: 3 5 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (6, 7) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n0 8 1 6 0 9 0 2 3 \n7 9 3 8 2 4 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - \n</stack>\n=> Number of possibilities (estimate): (6, 0) #1, (6, 4) #2, (6, 6) #2, (7, 6) #1, (7, 7) #1, (8, 0) #2, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 0) #1, \n=> Impossible values in row: 8 1 6 9 2 3 \n=> Impossible values in column: 3 1 8 4 9 6 7 \n=> Impossible values in box: 8 1 7 9 3 6 4 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (6, 0) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 0 9 0 2 3 \n7 9 3 8 2 4 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - \n</stack>\n=> Number of possibilities (estimate): (6, 4) #1, (6, 6) #2, (7, 6) #1, (7, 7) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 6) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 4) #1, \n=> Impossible values in row: 5 8 1 6 9 2 3 \n=> Impossible values in column: 4 3 1 8 6 9 2 \n=> Impossible values in box: 6 9 8 2 4 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (6, 4) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 0 2 3 \n7 9 3 8 2 4 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - \n</stack>\n=> Number of possibilities (estimate): (6, 6) #1, (7, 6) #1, (7, 7) #1, (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 6) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 6) #1, \n=> Impossible values in row: 5 8 1 6 7 9 2 3 \n=> Impossible values in column: 5 2 9 6 3 8 \n=> Impossible values in box: 2 3 5 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (6, 6) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 0 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - \n</stack>\n=> Number of possibilities (estimate): (7, 6) #1, (7, 7) #1, (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 6) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 6) #1, \n=> Impossible values in row: 7 9 3 8 2 4 5 \n=> Impossible values in column: 5 2 9 6 3 8 4 \n=> Impossible values in box: 4 2 3 5 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (7, 6) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 0 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - \n</stack>\n=> Number of possibilities (estimate): (7, 7) #1, (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 7) #1, \n=> Impossible values in row: 7 9 3 8 2 4 1 5 \n=> Impossible values in column: 8 7 3 5 1 4 2 \n=> Impossible values in box: 4 2 3 1 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (7, 7) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n0 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - \n</stack>\n=> Number of possibilities (estimate): (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 0) #1, \n=> Impossible values in row: 6 4 3 \n=> Impossible values in column: 3 1 8 4 9 6 5 7 \n=> Impossible values in box: 5 8 1 7 9 3 6 4 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (8, 0) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 0 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - \n</stack>\n=> Number of possibilities (estimate): (8, 3) #1, (8, 4) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 3) #1, \n=> Impossible values in row: 2 6 4 3 \n=> Impossible values in column: 7 9 5 2 4 3 6 8 \n=> Impossible values in box: 6 7 9 8 2 4 3 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 3) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 1 0 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - \n</stack>\n=> Number of possibilities (estimate): (8, 4) #1, (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 2 6 4 1 3 \n=> Impossible values in column: 4 3 1 8 6 9 7 2 \n=> Impossible values in box: 6 7 9 8 2 4 1 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (8, 4) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 1 5 3 0 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): (8, 6) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 6) #1, \n=> Impossible values in row: 2 6 4 1 5 3 \n=> Impossible values in column: 5 2 9 6 3 8 4 1 \n=> Impossible values in box: 4 2 3 1 6 5 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (8, 6) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - (8, 6) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 1 5 3 7 0 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - (8, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 7) #1, \n=> Impossible values in row: 2 6 4 1 5 3 7 \n=> Impossible values in column: 8 7 3 5 1 4 2 6 \n=> Impossible values in box: 4 2 3 1 6 5 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (8, 7) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - (8, 6) - (8, 7) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 1 5 3 7 9 0 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - (8, 6) - (8, 7) - \n</stack>\n=> Number of possibilities (estimate): (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 8) #1, \n=> Impossible values in row: 2 6 4 1 5 3 7 9 \n=> Impossible values in column: 1 6 4 9 2 7 3 5 \n=> Impossible values in box: 4 2 3 1 6 5 7 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (8, 8) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - (8, 6) - (8, 7) - (8, 8) - \n</stack>\n</fill number>\n<board>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 1 5 3 7 9 8 \n</board>\n<stack>\n(1, 2) - (2, 1) - (1, 1) - (0, 1) - (0, 0) - (1, 5) - (1, 7) - (0, 7) - (0, 8) - (0, 3) - (0, 4) - (2, 4) - (2, 6) - (4, 2) - (5, 2) - (5, 3) - (5, 5) - (3, 5) - (4, 4) - (3, 3) - (3, 4) - (4, 6) - (5, 7) - (3, 6) - (3, 7) - (3, 0) - (5, 6) - (6, 2) - (6, 3) - (7, 8) - (7, 1) - (4, 1) - (4, 0) - (7, 0) - (7, 5) - (6, 5) - (6, 7) - (6, 0) - (6, 4) - (6, 6) - (7, 6) - (7, 7) - (8, 0) - (8, 3) - (8, 4) - (8, 6) - (8, 7) - (8, 8) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n3 2 9 7 4 6 5 8 1 \n1 4 5 9 3 8 2 7 6 \n8 7 6 5 1 2 9 3 4 \n4 3 7 2 8 1 6 5 9 \n9 5 8 4 6 7 3 1 2 \n6 1 2 3 9 5 8 4 7 \n5 8 1 6 7 9 4 2 3 \n7 9 3 8 2 4 1 6 5 \n2 6 4 1 5 3 7 9 8 \n</output>\n\n"}
{"text": "<input>\n4 0 0 0 2 0 0 0 3 \n6 9 8 0 0 0 1 4 0 \n0 0 0 8 0 4 0 0 0 \n0 4 0 1 0 5 0 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</input>\n\n<reasoning>\n<board>\n4 0 0 0 2 0 0 0 3 \n6 9 8 0 0 0 1 4 0 \n0 0 0 8 0 4 0 0 0 \n0 4 0 1 0 5 0 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 2) #3, (0, 3) #4, (0, 5) #3, (0, 6) #3, (0, 7) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #3, (2, 1) #2, (2, 2) #5, (2, 4) #5, (2, 6) #4, (2, 7) #1, (2, 8) #3, (3, 0) #4, (3, 2) #2, (3, 4) #3, (3, 6) #1, (3, 8) #2, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #2, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #2, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 4 2 3 \n=> Impossible values in column: 9 4 1 2 7 \n=> Impossible values in box: 4 6 9 8 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (0, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 0 3 \n6 9 8 0 0 0 1 4 0 \n0 0 0 8 0 4 0 0 0 \n0 4 0 1 0 5 0 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (0, 7) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #3, (2, 1) #1, (2, 2) #4, (2, 4) #5, (2, 6) #4, (2, 7) #1, (2, 8) #3, (3, 0) #4, (3, 2) #2, (3, 4) #3, (3, 6) #1, (3, 8) #2, (4, 0) #3, (4, 1) #3, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #2, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #2, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 1) #1, \n=> Impossible values in row: 8 4 \n=> Impossible values in column: 5 9 4 1 2 7 \n=> Impossible values in box: 4 5 6 9 8 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (2, 1) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 0 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 0 0 \n0 4 0 1 0 5 0 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (0, 7) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #4, (2, 6) #4, (2, 7) #1, (2, 8) #3, (3, 0) #4, (3, 2) #2, (3, 4) #3, (3, 6) #1, (3, 8) #2, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #2, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #2, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 7) #1, \n=> Impossible values in row: 3 8 4 \n=> Impossible values in column: 4 6 7 2 1 5 \n=> Impossible values in box: 3 1 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (2, 7) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 0 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 0 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (0, 7) #1, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #4, (2, 8) #3, (3, 0) #4, (3, 2) #2, (3, 4) #3, (3, 6) #1, (3, 8) #2, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #2, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #2, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 7) #1, \n=> Impossible values in row: 4 5 2 3 \n=> Impossible values in column: 4 9 6 7 2 1 5 \n=> Impossible values in box: 3 1 4 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (0, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 0 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #4, (2, 8) #3, (3, 0) #4, (3, 2) #2, (3, 4) #3, (3, 6) #1, (3, 8) #2, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #2, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #1, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 6) #1, \n=> Impossible values in row: 4 1 5 6 \n=> Impossible values in column: 1 9 3 8 \n=> Impossible values in box: 6 7 1 9 5 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (3, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 0 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #4, (3, 2) #2, (3, 4) #3, (3, 8) #1, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #1, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #1, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 8) #1, \n=> Impossible values in row: 4 1 5 2 6 \n=> Impossible values in column: 3 1 5 9 4 \n=> Impossible values in box: 2 6 7 1 9 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (3, 8) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 0 0 0 0 0 0 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #3, (3, 2) #2, (3, 4) #3, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (4, 6) #1, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #1, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 7 1 \n=> Impossible values in column: 1 2 9 3 8 \n=> Impossible values in box: 2 6 8 7 1 9 5 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (4, 6) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 0 0 0 0 0 4 7 1 \n2 1 0 0 4 0 9 0 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #3, (3, 2) #2, (3, 4) #3, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (5, 2) #3, (5, 3) #3, (5, 5) #4, (5, 7) #1, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 7) #1, \n=> Impossible values in row: 2 1 4 9 5 \n=> Impossible values in column: 8 4 9 6 7 2 1 5 \n=> Impossible values in box: 2 6 8 4 7 1 9 5 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (5, 7) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 0 0 0 0 0 4 7 1 \n2 1 0 0 4 0 9 3 5 \n5 0 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #3, (3, 2) #2, (3, 4) #3, (4, 0) #3, (4, 1) #2, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (5, 2) #2, (5, 3) #2, (5, 5) #3, (6, 1) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 1) #1, \n=> Impossible values in row: 5 4 6 3 2 9 \n=> Impossible values in column: 5 9 3 4 1 2 7 \n=> Impossible values in box: 5 4 2 7 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (6, 1) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 0 0 0 0 0 4 7 1 \n2 1 0 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #3, (3, 2) #2, (3, 4) #3, (4, 0) #3, (4, 1) #1, (4, 2) #3, (4, 3) #3, (4, 4) #2, (4, 5) #4, (5, 2) #2, (5, 3) #2, (5, 5) #3, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 1) #1, \n=> Impossible values in row: 4 7 1 \n=> Impossible values in column: 5 9 3 4 1 8 2 7 \n=> Impossible values in box: 4 2 1 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 1) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 0 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #3, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #3, (3, 2) #2, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 2) #1, (5, 3) #2, (5, 5) #3, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 2) #1, \n=> Impossible values in row: 2 1 4 9 3 5 \n=> Impossible values in column: 8 4 9 \n=> Impossible values in box: 4 6 2 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (5, 2) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - \n</stack>\n</fill number>\n<board>\n4 5 0 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #1, (0, 3) #3, (0, 5) #3, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #2, (2, 2) #2, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 4 5 2 8 3 \n=> Impossible values in column: 8 7 4 9 \n=> Impossible values in box: 4 5 6 9 8 3 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (0, 2) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - \n</stack>\n</fill number>\n<board>\n4 5 1 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n0 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #3, (0, 5) #2, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 0) #1, (2, 2) #1, (2, 4) #3, (2, 6) #3, (2, 8) #3, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 0) #1, \n=> Impossible values in row: 3 8 4 9 \n=> Impossible values in column: 4 6 2 5 \n=> Impossible values in box: 4 5 1 6 9 8 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (2, 0) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - \n</stack>\n</fill number>\n<board>\n4 5 1 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n7 3 0 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #3, (0, 5) #2, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 2) #1, (2, 4) #2, (2, 6) #2, (2, 8) #2, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 2) #1, \n=> Impossible values in row: 7 3 8 4 9 \n=> Impossible values in column: 1 8 7 4 9 \n=> Impossible values in box: 4 5 1 6 9 8 7 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (2, 2) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - \n</stack>\n</fill number>\n<board>\n4 5 1 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n7 3 2 8 0 4 0 9 0 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #3, (0, 5) #2, (0, 6) #2, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 4) #2, (2, 6) #2, (2, 8) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #2, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 8) #1, \n=> Impossible values in row: 7 3 2 8 4 9 \n=> Impossible values in column: 3 8 1 5 9 4 \n=> Impossible values in box: 8 3 1 4 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (2, 8) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - \n</stack>\n</fill number>\n<board>\n4 5 1 0 2 0 0 8 3 \n6 9 8 0 0 0 1 4 0 \n7 3 2 8 0 4 0 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #3, (0, 5) #2, (0, 6) #1, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #2, (2, 4) #2, (2, 6) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #1, \n=> Impossible values in row: 4 5 1 2 8 3 \n=> Impossible values in column: 1 2 4 9 3 8 \n=> Impossible values in box: 8 3 1 4 9 6 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 6) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - \n</stack>\n</fill number>\n<board>\n4 5 1 0 2 0 7 8 3 \n6 9 8 0 0 0 1 4 0 \n7 3 2 8 0 4 0 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 5) #1, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #1, (2, 4) #2, (2, 6) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 5) #1, \n=> Impossible values in row: 4 5 1 2 7 8 3 \n=> Impossible values in column: 4 5 9 \n=> Impossible values in box: 2 8 4 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (0, 5) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - \n</stack>\n</fill number>\n<board>\n4 5 1 0 2 6 7 8 3 \n6 9 8 0 0 0 1 4 0 \n7 3 2 8 0 4 0 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #1, (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #1, (2, 4) #2, (2, 6) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #2, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 4 5 1 2 6 7 8 3 \n=> Impossible values in column: 8 1 2 \n=> Impossible values in box: 2 6 8 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (0, 3) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 0 \n7 3 2 8 0 4 0 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #3, (1, 5) #2, (1, 8) #1, (2, 4) #2, (2, 6) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 8) #1, \n=> Impossible values in row: 6 9 8 1 4 \n=> Impossible values in column: 3 6 8 1 5 9 4 \n=> Impossible values in box: 7 8 3 1 4 9 6 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (1, 8) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 0 4 0 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #3, (1, 5) #2, (2, 4) #2, (2, 6) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 6) #1, \n=> Impossible values in row: 7 3 2 8 4 9 6 \n=> Impossible values in column: 7 1 2 4 9 3 8 \n=> Impossible values in box: 7 8 3 1 4 2 9 6 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (2, 6) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 0 4 5 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #3, (1, 5) #2, (2, 4) #1, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 4) #1, \n=> Impossible values in row: 7 3 2 8 4 5 9 6 \n=> Impossible values in column: 2 4 6 8 \n=> Impossible values in box: 9 2 6 8 4 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (2, 4) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n0 4 0 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #3, (1, 5) #2, (3, 0) #2, (3, 2) #1, (3, 4) #3, (4, 0) #3, (4, 2) #2, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #2, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 2) #1, \n=> Impossible values in row: 4 1 5 2 6 8 \n=> Impossible values in column: 1 8 2 7 4 9 \n=> Impossible values in box: 4 6 2 1 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (3, 2) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n0 4 3 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #3, (1, 5) #2, (3, 0) #1, (3, 4) #2, (4, 0) #2, (4, 2) #1, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 0) #1, \n=> Impossible values in row: 4 3 1 5 2 6 8 \n=> Impossible values in column: 4 6 7 2 5 \n=> Impossible values in box: 4 3 6 2 1 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (3, 0) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 0 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #3, (1, 5) #2, (3, 4) #1, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #4, (7, 4) #3, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 4) #1, \n=> Impossible values in row: 9 4 3 1 5 2 6 8 \n=> Impossible values in column: 2 1 4 6 8 \n=> Impossible values in box: 1 5 4 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (3, 4) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n0 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #2, (1, 5) #2, (4, 0) #1, (4, 2) #1, (4, 3) #1, (4, 4) #2, (4, 5) #3, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #4, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 6 4 7 1 \n=> Impossible values in column: 4 6 7 9 2 5 \n=> Impossible values in box: 9 4 3 6 2 1 7 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (4, 0) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 0 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #2, (1, 5) #2, (4, 2) #1, (4, 3) #1, (4, 4) #2, (4, 5) #2, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #4, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 2) #1, \n=> Impossible values in row: 8 6 4 7 1 \n=> Impossible values in column: 1 8 2 3 7 4 9 \n=> Impossible values in box: 9 4 3 8 6 2 1 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 2) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 0 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #3, (1, 4) #2, (1, 5) #2, (4, 3) #1, (4, 4) #2, (4, 5) #2, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #4, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 3) #1, \n=> Impossible values in row: 8 6 5 4 7 1 \n=> Impossible values in column: 9 8 1 2 \n=> Impossible values in box: 1 7 5 4 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (4, 3) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 0 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #2, (1, 4) #2, (1, 5) #2, (4, 4) #1, (4, 5) #1, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #3, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 4) #1, \n=> Impossible values in row: 8 6 5 3 4 7 1 \n=> Impossible values in column: 2 1 7 4 6 8 \n=> Impossible values in box: 1 7 5 3 4 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 4) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 0 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #2, (1, 4) #2, (1, 5) #2, (4, 5) #1, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #3, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 5) #1, \n=> Impossible values in row: 8 6 5 3 9 4 7 1 \n=> Impossible values in column: 6 4 5 9 \n=> Impossible values in box: 1 7 5 3 9 4 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (4, 5) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 0 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #2, (1, 4) #2, (1, 5) #2, (5, 3) #1, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #3, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 3) #1, \n=> Impossible values in row: 2 1 7 4 9 3 5 \n=> Impossible values in column: 9 8 1 3 2 \n=> Impossible values in box: 1 7 5 3 9 2 4 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (5, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 0 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #2, (1, 4) #2, (1, 5) #2, (5, 5) #1, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #3, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 5) #1, \n=> Impossible values in row: 2 1 7 6 4 9 3 5 \n=> Impossible values in column: 6 4 5 2 9 \n=> Impossible values in box: 1 7 5 3 9 2 6 4 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (5, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 0 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #2, (1, 4) #2, (1, 5) #2, (6, 3) #1, (6, 5) #2, (7, 0) #1, (7, 2) #1, (7, 3) #3, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 3) #1, \n=> Impossible values in row: 5 8 4 6 3 2 9 \n=> Impossible values in column: 9 8 1 3 6 2 \n=> Impossible values in box: 6 9 2 8 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (6, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 0 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 3) #1, (1, 4) #2, (1, 5) #2, (6, 5) #1, (7, 0) #1, (7, 2) #1, (7, 3) #2, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 3) #1, \n=> Impossible values in row: 6 9 8 1 4 2 \n=> Impossible values in column: 9 8 1 3 6 7 2 \n=> Impossible values in box: 9 2 6 8 1 4 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (1, 3) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 0 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 4) #1, (1, 5) #2, (6, 5) #1, (7, 0) #1, (7, 2) #1, (7, 3) #1, (7, 4) #2, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 4) #1, \n=> Impossible values in row: 6 9 8 5 1 4 2 \n=> Impossible values in column: 2 1 7 9 4 6 8 \n=> Impossible values in box: 9 2 6 5 8 1 4 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (1, 4) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 0 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - \n</stack>\n=> Number of possibilities (estimate): (1, 5) #1, (6, 5) #1, (7, 0) #1, (7, 2) #1, (7, 3) #1, (7, 4) #1, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 5) #1, \n=> Impossible values in row: 6 9 8 5 3 1 4 2 \n=> Impossible values in column: 6 4 5 2 8 9 \n=> Impossible values in box: 9 2 6 5 3 8 1 4 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (1, 5) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 0 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - \n</stack>\n=> Number of possibilities (estimate): (6, 5) #1, (7, 0) #1, (7, 2) #1, (7, 3) #1, (7, 4) #1, (7, 8) #1, (8, 0) #2, (8, 5) #2, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 5) #1, \n=> Impossible values in row: 5 8 4 7 6 3 2 9 \n=> Impossible values in column: 6 7 4 5 2 8 9 \n=> Impossible values in box: 7 6 9 2 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (6, 5) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n0 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - \n</stack>\n=> Number of possibilities (estimate): (7, 0) #1, (7, 2) #1, (7, 3) #1, (7, 4) #1, (7, 8) #1, (8, 0) #2, (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 0) #1, \n=> Impossible values in row: 2 9 8 1 \n=> Impossible values in column: 4 6 7 9 8 2 5 \n=> Impossible values in box: 5 8 4 2 7 9 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (7, 0) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 0 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - \n</stack>\n=> Number of possibilities (estimate): (7, 2) #1, (7, 3) #1, (7, 4) #1, (7, 8) #1, (8, 0) #1, (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 2) #1, \n=> Impossible values in row: 3 2 9 8 1 \n=> Impossible values in column: 1 8 2 3 5 7 4 9 \n=> Impossible values in box: 5 8 4 3 2 7 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (7, 2) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 0 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - \n</stack>\n=> Number of possibilities (estimate): (7, 3) #1, (7, 4) #1, (7, 8) #1, (8, 0) #1, (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 3) #1, \n=> Impossible values in row: 3 2 6 9 8 1 \n=> Impossible values in column: 9 5 8 1 3 6 7 2 \n=> Impossible values in box: 7 6 1 9 2 8 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (7, 3) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 0 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - \n</stack>\n=> Number of possibilities (estimate): (7, 4) #1, (7, 8) #1, (8, 0) #1, (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 4) #1, \n=> Impossible values in row: 3 2 6 4 9 8 1 \n=> Impossible values in column: 2 3 1 7 9 4 6 8 \n=> Impossible values in box: 7 6 1 4 9 2 8 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (7, 4) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 5 9 8 1 0 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - \n</stack>\n=> Number of possibilities (estimate): (7, 8) #1, (8, 0) #1, (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 8) #1, \n=> Impossible values in row: 3 2 6 4 5 9 8 1 \n=> Impossible values in column: 3 2 6 8 1 5 9 4 \n=> Impossible values in box: 3 2 9 8 1 5 4 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 8) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 5 9 8 1 7 \n0 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - \n</stack>\n=> Number of possibilities (estimate): (8, 0) #1, (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 0) #1, \n=> Impossible values in row: 7 9 2 8 5 4 \n=> Impossible values in column: 4 6 7 9 8 2 5 3 \n=> Impossible values in box: 5 8 4 3 2 6 7 9 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 0) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - (8, 0) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 5 9 8 1 7 \n1 7 9 2 8 0 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - (8, 0) - \n</stack>\n=> Number of possibilities (estimate): (8, 5) #1, (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 5) #1, \n=> Impossible values in row: 1 7 9 2 8 5 4 \n=> Impossible values in column: 6 7 4 5 2 8 1 9 \n=> Impossible values in box: 7 6 1 4 5 9 2 8 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (8, 5) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - (8, 0) - (8, 5) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 5 9 8 1 7 \n1 7 9 2 8 3 0 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - (8, 0) - (8, 5) - \n</stack>\n=> Number of possibilities (estimate): (8, 6) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 6) #1, \n=> Impossible values in row: 1 7 9 2 8 3 5 4 \n=> Impossible values in column: 7 1 5 2 4 9 3 8 \n=> Impossible values in box: 3 2 9 8 1 7 5 4 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (8, 6) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - (8, 0) - (8, 5) - (8, 6) - \n</stack>\n</fill number>\n<board>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 5 9 8 1 7 \n1 7 9 2 8 3 6 5 4 \n</board>\n<stack>\n(0, 1) - (2, 1) - (2, 7) - (0, 7) - (3, 6) - (3, 8) - (4, 6) - (5, 7) - (6, 1) - (4, 1) - (5, 2) - (0, 2) - (2, 0) - (2, 2) - (2, 8) - (0, 6) - (0, 5) - (0, 3) - (1, 8) - (2, 6) - (2, 4) - (3, 2) - (3, 0) - (3, 4) - (4, 0) - (4, 2) - (4, 3) - (4, 4) - (4, 5) - (5, 3) - (5, 5) - (6, 3) - (1, 3) - (1, 4) - (1, 5) - (6, 5) - (7, 0) - (7, 2) - (7, 3) - (7, 4) - (7, 8) - (8, 0) - (8, 5) - (8, 6) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n4 5 1 9 2 6 7 8 3 \n6 9 8 5 3 7 1 4 2 \n7 3 2 8 1 4 5 9 6 \n9 4 3 1 7 5 2 6 8 \n8 6 5 3 9 2 4 7 1 \n2 1 7 6 4 8 9 3 5 \n5 8 4 7 6 1 3 2 9 \n3 2 6 4 5 9 8 1 7 \n1 7 9 2 8 3 6 5 4 \n</output>\n\n"}
{"text": "<input>\n1 0 0 0 0 0 0 0 0 \n0 8 6 0 4 5 9 0 0 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 0 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</input>\n\n<reasoning>\n<board>\n1 0 0 0 0 0 0 0 0 \n0 8 6 0 4 5 9 0 0 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 0 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #3, (0, 4) #3, (0, 5) #3, (0, 6) #3, (0, 7) #4, (0, 8) #3, (1, 0) #2, (1, 3) #3, (1, 7) #3, (1, 8) #1, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #3, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #3, (4, 8) #1, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #3, (8, 0) #2, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 8) #1, \n=> Impossible values in row: 8 6 4 5 9 \n=> Impossible values in column: 2 1 3 5 \n=> Impossible values in box: 9 6 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (1, 8) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 0 \n0 8 6 0 4 5 9 0 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 0 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #3, (0, 4) #3, (0, 5) #3, (0, 6) #3, (0, 7) #3, (0, 8) #2, (1, 0) #1, (1, 3) #2, (1, 7) #2, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #3, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #3, (4, 8) #1, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #2, (8, 0) #2, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 0) #1, \n=> Impossible values in row: 8 6 4 5 9 7 \n=> Impossible values in column: 1 8 4 2 \n=> Impossible values in box: 1 8 6 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (1, 0) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 0 \n3 8 6 0 4 5 9 0 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 0 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #3, (0, 4) #3, (0, 5) #3, (0, 6) #3, (0, 7) #3, (0, 8) #2, (1, 3) #2, (1, 7) #1, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #3, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #3, (4, 8) #1, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #2, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 7) #1, \n=> Impossible values in row: 3 8 6 4 5 9 7 \n=> Impossible values in column: 6 4 9 \n=> Impossible values in box: 9 7 6 2 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (1, 7) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 0 \n3 8 6 0 4 5 9 1 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 0 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #3, (0, 4) #3, (0, 5) #3, (0, 6) #3, (0, 7) #3, (0, 8) #2, (1, 3) #1, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #3, (4, 8) #1, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #2, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 3) #1, \n=> Impossible values in row: 3 8 6 4 5 9 1 7 \n=> Impossible values in column: 9 4 8 \n=> Impossible values in box: 4 5 9 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (1, 3) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 0 \n3 8 6 2 4 5 9 1 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 0 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (0, 8) #2, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #3, (4, 8) #1, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #2, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 8) #1, \n=> Impossible values in row: 3 1 4 9 7 \n=> Impossible values in column: 7 2 1 3 5 \n=> Impossible values in box: 4 1 7 6 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (4, 8) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 0 \n3 8 6 2 4 5 9 1 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 8 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (0, 8) #1, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #2, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 8) #1, \n=> Impossible values in row: 1 \n=> Impossible values in column: 7 2 1 8 3 5 \n=> Impossible values in box: 9 1 7 6 2 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 8) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 8 \n0 4 0 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #2, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 0) #2, (2, 1) #2, (2, 2) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #2, (4, 4) #2, (4, 7) #2, (5, 0) #2, (5, 2) #1, (5, 4) #4, (5, 7) #3, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #3, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 2) #1, \n=> Impossible values in row: 4 8 1 6 \n=> Impossible values in column: 6 2 1 8 7 \n=> Impossible values in box: 8 9 2 3 1 4 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (5, 2) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - \n</stack>\n</fill number>\n<board>\n1 0 0 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 8 \n0 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #1, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 0) #2, (2, 1) #2, (2, 2) #1, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #1, (4, 4) #2, (4, 7) #2, (5, 0) #1, (5, 4) #3, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #2, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 1 4 \n=> Impossible values in column: 6 2 1 5 8 7 \n=> Impossible values in box: 1 3 8 6 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (0, 2) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - \n</stack>\n</fill number>\n<board>\n1 0 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n0 0 0 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 8 \n0 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 0) #2, (2, 1) #2, (2, 2) #1, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #1, (4, 4) #2, (4, 7) #2, (5, 0) #1, (5, 4) #3, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 2) #1, \n=> Impossible values in row: 9 3 6 2 \n=> Impossible values in column: 9 6 2 1 5 8 7 \n=> Impossible values in box: 1 9 3 8 6 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (2, 2) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - \n</stack>\n</fill number>\n<board>\n1 0 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n0 0 4 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n0 3 1 4 0 9 7 0 8 \n0 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 0) #2, (2, 1) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 0) #1, (4, 4) #2, (4, 7) #2, (5, 0) #1, (5, 4) #3, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 3 1 4 9 7 8 \n=> Impossible values in column: 1 3 8 4 2 \n=> Impossible values in box: 8 9 2 3 1 4 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 0) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - \n</stack>\n</fill number>\n<board>\n1 0 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n0 0 4 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n0 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 0) #2, (2, 1) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 0) #1, (5, 4) #3, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 0) #1, \n=> Impossible values in row: 4 5 8 1 6 \n=> Impossible values in column: 1 3 8 6 4 2 \n=> Impossible values in box: 8 9 2 6 3 1 4 5 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (5, 0) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - \n</stack>\n</fill number>\n<board>\n1 0 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n0 0 4 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 0) #1, (2, 1) #2, (2, 4) #3, (2, 6) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 0) #1, \n=> Impossible values in row: 4 9 3 6 2 \n=> Impossible values in column: 1 3 8 6 7 4 2 \n=> Impossible values in box: 1 9 3 8 6 4 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (2, 0) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - \n</stack>\n</fill number>\n<board>\n1 0 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 0 4 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 1) #1, (2, 4) #3, (2, 6) #1, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 1) #1, \n=> Impossible values in row: 5 4 9 3 6 2 \n=> Impossible values in column: 8 9 3 4 1 6 \n=> Impossible values in box: 1 9 3 8 6 5 4 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (2, 1) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - \n</stack>\n</fill number>\n<board>\n1 0 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 4) #2, (2, 6) #1, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 1 9 4 \n=> Impossible values in column: 8 7 9 3 4 1 6 \n=> Impossible values in box: 1 9 3 8 6 5 7 4 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (0, 1) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 0 3 0 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #3, (0, 7) #3, (2, 4) #2, (2, 6) #1, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 6) #1, \n=> Impossible values in row: 5 7 4 9 3 6 2 \n=> Impossible values in column: 9 7 6 4 2 \n=> Impossible values in box: 4 9 1 7 6 2 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (2, 6) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 0 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #2, (0, 7) #2, (2, 4) #1, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #4, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 4) #1, \n=> Impossible values in row: 5 7 4 9 3 8 6 2 \n=> Impossible values in column: 4 6 \n=> Impossible values in box: 2 4 5 9 3 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (2, 4) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 0 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #2, (0, 7) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (5, 8) #1, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 8) #1, \n=> Impossible values in row: 7 4 5 8 1 6 \n=> Impossible values in column: 4 7 2 1 8 3 5 \n=> Impossible values in box: 4 1 7 8 6 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (5, 8) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 0 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #2, (0, 7) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (6, 1) #1, (6, 3) #3, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 1) #1, \n=> Impossible values in row: 4 8 6 2 9 3 \n=> Impossible values in column: 2 8 7 9 3 4 1 6 \n=> Impossible values in box: 4 8 2 1 6 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (6, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 0 6 2 0 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #2, (0, 7) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (6, 3) #2, (6, 6) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 6) #1, \n=> Impossible values in row: 4 5 8 6 2 9 3 \n=> Impossible values in column: 9 8 7 6 4 2 \n=> Impossible values in box: 9 3 4 2 5 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (6, 6) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 0 6 2 1 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #2, (0, 4) #2, (0, 5) #3, (0, 6) #2, (0, 7) #2, (3, 3) #4, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (6, 3) #1, (7, 2) #1, (7, 3) #3, (7, 4) #5, (7, 5) #2, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 3) #1, \n=> Impossible values in row: 4 5 8 6 2 1 9 3 \n=> Impossible values in column: 2 9 4 8 \n=> Impossible values in box: 6 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (6, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - \n</stack>\n</fill number>\n<board>\n1 2 9 0 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #1, (0, 4) #2, (0, 5) #3, (0, 6) #2, (0, 7) #2, (3, 3) #3, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (7, 2) #1, (7, 3) #2, (7, 4) #4, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 1 2 9 4 \n=> Impossible values in column: 2 9 4 8 7 \n=> Impossible values in box: 2 4 5 9 1 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (0, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 0 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (0, 6) #2, (0, 7) #2, (3, 3) #2, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (7, 2) #1, (7, 3) #2, (7, 4) #4, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 2) #1, \n=> Impossible values in row: 2 1 4 \n=> Impossible values in column: 9 6 4 2 1 5 8 7 \n=> Impossible values in box: 4 5 8 2 1 6 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (7, 2) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 0 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (0, 6) #2, (0, 7) #2, (3, 3) #2, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (7, 3) #1, (7, 4) #3, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 3) #1, \n=> Impossible values in row: 2 1 3 4 \n=> Impossible values in column: 6 2 9 4 8 7 \n=> Impossible values in box: 7 6 2 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (7, 3) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 0 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (0, 6) #2, (0, 7) #2, (3, 3) #1, (3, 4) #3, (3, 5) #2, (3, 6) #2, (4, 4) #2, (4, 7) #2, (5, 4) #2, (5, 7) #2, (7, 4) #2, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #2, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 3) #1, \n=> Impossible values in row: 8 9 2 4 1 \n=> Impossible values in column: 6 2 9 4 8 7 5 \n=> Impossible values in box: 4 9 8 1 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (3, 3) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 0 0 0 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (0, 6) #2, (0, 7) #2, (3, 4) #2, (3, 5) #2, (3, 6) #1, (4, 4) #2, (4, 7) #2, (5, 4) #1, (5, 7) #2, (7, 4) #2, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 6) #1, \n=> Impossible values in row: 8 9 2 3 4 1 \n=> Impossible values in column: 9 8 7 6 1 4 2 \n=> Impossible values in box: 4 1 7 8 6 9 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (3, 6) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 0 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 0 0 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (0, 6) #1, (0, 7) #2, (3, 4) #1, (3, 5) #2, (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #2, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #1, \n=> Impossible values in row: 1 2 9 6 4 \n=> Impossible values in column: 9 8 5 7 6 1 4 2 \n=> Impossible values in box: 4 9 1 7 8 6 2 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (0, 6) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 3 0 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 0 0 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (0, 7) #1, (3, 4) #1, (3, 5) #2, (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #2, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 7) #1, \n=> Impossible values in row: 1 2 9 6 3 4 \n=> Impossible values in column: 1 6 4 9 \n=> Impossible values in box: 3 4 9 1 7 8 6 2 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (0, 7) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 0 0 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #2, (0, 5) #2, (3, 4) #1, (3, 5) #2, (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #2, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 4) #1, \n=> Impossible values in row: 8 9 2 3 5 4 1 \n=> Impossible values in column: 4 1 6 \n=> Impossible values in box: 3 4 9 8 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (3, 4) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 0 0 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 0 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 4) #1, (0, 5) #2, (3, 5) #1, (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #2, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #3, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 4) #1, \n=> Impossible values in row: 1 2 9 6 3 5 4 \n=> Impossible values in column: 4 1 7 6 \n=> Impossible values in box: 6 2 4 5 9 1 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (0, 4) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 0 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 0 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 5) #1, (3, 5) #1, (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 5) #1, \n=> Impossible values in row: 1 2 9 6 8 3 5 4 \n=> Impossible values in column: 5 3 9 1 2 \n=> Impossible values in box: 6 8 2 4 5 9 1 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 5) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 0 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - \n</stack>\n=> Number of possibilities (estimate): (3, 5) #1, (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 5) #1, \n=> Impossible values in row: 8 9 2 3 7 5 4 1 \n=> Impossible values in column: 7 5 3 9 1 2 \n=> Impossible values in box: 3 7 4 9 8 1 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (3, 5) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 0 9 7 0 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - \n</stack>\n=> Number of possibilities (estimate): (4, 4) #2, (4, 7) #1, (5, 4) #1, (5, 7) #2, (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 7) #1, \n=> Impossible values in row: 6 3 1 4 9 7 8 \n=> Impossible values in column: 5 1 6 4 9 \n=> Impossible values in box: 5 4 1 7 8 6 9 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (4, 7) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 0 9 7 2 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - \n</stack>\n=> Number of possibilities (estimate): (4, 4) #1, (5, 4) #1, (5, 7) #1, (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 4) #1, \n=> Impossible values in row: 6 3 1 4 9 7 2 8 \n=> Impossible values in column: 8 4 1 7 6 \n=> Impossible values in box: 3 7 6 4 9 8 1 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 4) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 0 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - \n</stack>\n=> Number of possibilities (estimate): (5, 4) #1, (5, 7) #1, (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 4) #1, \n=> Impossible values in row: 7 4 5 8 1 6 9 \n=> Impossible values in column: 8 4 1 7 5 6 \n=> Impossible values in box: 3 7 6 4 5 9 8 1 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (5, 4) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 0 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - \n</stack>\n=> Number of possibilities (estimate): (5, 7) #1, (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 7) #1, \n=> Impossible values in row: 7 4 5 8 2 1 6 9 \n=> Impossible values in column: 5 1 6 4 2 9 \n=> Impossible values in box: 5 4 1 7 2 8 6 9 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (5, 7) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 0 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - \n</stack>\n=> Number of possibilities (estimate): (7, 4) #1, (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #2, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 4) #1, \n=> Impossible values in row: 2 1 3 5 4 \n=> Impossible values in column: 8 4 1 7 5 2 6 \n=> Impossible values in box: 7 6 2 5 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (7, 4) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 0 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - \n</stack>\n=> Number of possibilities (estimate): (7, 5) #1, (7, 7) #2, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 5) #2, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 5) #1, \n=> Impossible values in row: 2 1 3 5 9 4 \n=> Impossible values in column: 7 5 3 6 9 1 2 \n=> Impossible values in box: 7 6 2 5 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (7, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 0 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - \n</stack>\n=> Number of possibilities (estimate): (7, 7) #1, (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 7) #1, \n=> Impossible values in row: 2 1 3 5 9 8 4 \n=> Impossible values in column: 5 1 6 4 2 3 9 \n=> Impossible values in box: 1 9 3 4 2 5 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 7) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 0 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - \n</stack>\n=> Number of possibilities (estimate): (7, 8) #1, (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 8) #1, \n=> Impossible values in row: 2 1 3 5 9 8 4 7 \n=> Impossible values in column: 4 7 2 1 8 9 3 5 \n=> Impossible values in box: 1 9 3 4 7 2 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (7, 8) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n0 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - \n</stack>\n=> Number of possibilities (estimate): (8, 0) #1, (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 0) #1, \n=> Impossible values in row: 6 7 2 5 \n=> Impossible values in column: 1 3 5 8 6 7 4 2 \n=> Impossible values in box: 4 5 8 2 1 3 6 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (8, 0) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n9 6 7 0 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - \n</stack>\n=> Number of possibilities (estimate): (8, 3) #1, (8, 4) #1, (8, 5) #1, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 3) #1, \n=> Impossible values in row: 9 6 7 2 5 \n=> Impossible values in column: 6 2 9 3 4 8 7 5 \n=> Impossible values in box: 7 6 2 5 9 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 3) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n9 6 7 1 0 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - \n</stack>\n=> Number of possibilities (estimate): (8, 4) #1, (8, 5) #1, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 9 6 7 1 2 5 \n=> Impossible values in column: 8 4 1 7 5 2 6 9 \n=> Impossible values in box: 7 6 2 5 9 8 1 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (8, 4) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - (8, 4) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n9 6 7 1 3 0 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): (8, 5) #1, (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 5) #1, \n=> Impossible values in row: 9 6 7 1 3 2 5 \n=> Impossible values in column: 7 5 3 6 9 1 2 8 \n=> Impossible values in box: 7 6 2 5 9 8 1 3 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (8, 5) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - (8, 4) - (8, 5) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n9 6 7 1 3 4 2 0 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - (8, 4) - (8, 5) - \n</stack>\n=> Number of possibilities (estimate): (8, 7) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 7) #1, \n=> Impossible values in row: 9 6 7 1 3 4 2 5 \n=> Impossible values in column: 5 1 6 4 2 3 9 7 \n=> Impossible values in box: 1 9 3 4 7 6 2 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (8, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - (8, 4) - (8, 5) - (8, 7) - \n</stack>\n</fill number>\n<board>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n9 6 7 1 3 4 2 8 5 \n</board>\n<stack>\n(1, 8) - (1, 0) - (1, 7) - (1, 3) - (4, 8) - (0, 8) - (5, 2) - (0, 2) - (2, 2) - (4, 0) - (5, 0) - (2, 0) - (2, 1) - (0, 1) - (2, 6) - (2, 4) - (5, 8) - (6, 1) - (6, 6) - (6, 3) - (0, 3) - (7, 2) - (7, 3) - (3, 3) - (3, 6) - (0, 6) - (0, 7) - (3, 4) - (0, 4) - (0, 5) - (3, 5) - (4, 7) - (4, 4) - (5, 4) - (5, 7) - (7, 4) - (7, 5) - (7, 7) - (7, 8) - (8, 0) - (8, 3) - (8, 4) - (8, 5) - (8, 7) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n1 2 9 6 8 7 3 5 4 \n3 8 6 2 4 5 9 1 7 \n5 7 4 9 1 3 8 6 2 \n8 9 2 3 7 6 5 4 1 \n6 3 1 4 5 9 7 2 8 \n7 4 5 8 2 1 6 3 9 \n4 5 8 7 6 2 1 9 3 \n2 1 3 5 9 8 4 7 6 \n9 6 7 1 3 4 2 8 5 \n</output>\n\n"}
{"text": "<input>\n0 0 0 0 0 1 0 0 8 \n9 1 5 0 7 8 4 0 0 \n8 0 2 0 0 3 1 0 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</input>\n\n<reasoning>\n<board>\n0 0 0 0 0 1 0 0 8 \n9 1 5 0 7 8 4 0 0 \n8 0 2 0 0 3 1 0 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #3, (0, 2) #2, (0, 3) #3, (0, 4) #4, (0, 6) #4, (0, 7) #3, (1, 3) #1, (1, 7) #2, (1, 8) #3, (2, 1) #2, (2, 3) #2, (2, 4) #2, (2, 7) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #4, (4, 5) #4, (4, 6) #4, (4, 7) #5, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #3, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #2, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #4, (7, 6) #3, (7, 7) #4, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 3) #1, \n=> Impossible values in row: 9 1 5 7 8 4 \n=> Impossible values in column: 1 6 5 \n=> Impossible values in box: 1 7 8 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (1, 3) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 0 0 8 \n9 1 5 2 7 8 4 0 0 \n8 0 2 0 0 3 1 0 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #3, (0, 2) #2, (0, 3) #2, (0, 4) #3, (0, 6) #4, (0, 7) #3, (1, 7) #1, (1, 8) #2, (2, 1) #2, (2, 3) #2, (2, 4) #2, (2, 7) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 5) #4, (4, 6) #4, (4, 7) #5, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #3, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #4, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 7) #1, \n=> Impossible values in row: 9 1 5 2 7 8 4 \n=> Impossible values in column: 5 7 6 \n=> Impossible values in box: 8 4 1 5 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (1, 7) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 0 0 8 \n9 1 5 2 7 8 4 3 0 \n8 0 2 0 0 3 1 0 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #3, (0, 2) #2, (0, 3) #2, (0, 4) #3, (0, 6) #3, (0, 7) #2, (1, 8) #1, (2, 1) #2, (2, 3) #2, (2, 4) #2, (2, 7) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 5) #4, (4, 6) #4, (4, 7) #4, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #3, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #3, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 8) #1, \n=> Impossible values in row: 9 1 5 2 7 8 4 3 \n=> Impossible values in column: 8 5 \n=> Impossible values in box: 8 4 3 1 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (1, 8) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 0 0 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 0 0 3 1 0 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #3, (0, 2) #2, (0, 3) #2, (0, 4) #3, (0, 6) #3, (0, 7) #2, (2, 1) #2, (2, 3) #2, (2, 4) #2, (2, 7) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 5) #4, (4, 6) #4, (4, 7) #4, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #3, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #3, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 7) #1, \n=> Impossible values in row: 8 2 3 1 5 \n=> Impossible values in column: 3 5 7 6 \n=> Impossible values in box: 8 4 3 6 1 5 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (2, 7) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 0 0 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 0 0 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #3, (0, 2) #2, (0, 3) #2, (0, 4) #3, (0, 6) #2, (0, 7) #1, (2, 1) #2, (2, 3) #1, (2, 4) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 5) #4, (4, 6) #4, (4, 7) #3, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #2, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #3, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 7) #1, \n=> Impossible values in row: 1 8 \n=> Impossible values in column: 3 9 5 7 6 \n=> Impossible values in box: 8 4 3 6 1 9 5 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (0, 7) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 0 2 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 0 0 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #3, (0, 1) #3, (0, 2) #2, (0, 3) #2, (0, 4) #3, (0, 6) #1, (2, 1) #2, (2, 3) #1, (2, 4) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 5) #4, (4, 6) #4, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #1, \n=> Impossible values in row: 1 2 8 \n=> Impossible values in column: 4 1 6 8 \n=> Impossible values in box: 2 8 4 3 6 1 9 5 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 6) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 0 0 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (0, 3) #2, (0, 4) #3, (2, 1) #2, (2, 3) #1, (2, 4) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #3, (4, 5) #4, (4, 6) #3, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 3) #1, \n=> Impossible values in row: 8 2 3 1 9 5 \n=> Impossible values in column: 2 1 6 5 \n=> Impossible values in box: 1 2 7 8 3 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (2, 3) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - \n</stack>\n</fill number>\n<board>\n0 0 0 0 0 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 4 0 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (0, 3) #1, (0, 4) #2, (2, 1) #2, (2, 4) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #2, (4, 5) #4, (4, 6) #3, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 1 7 2 8 \n=> Impossible values in column: 2 4 1 6 5 \n=> Impossible values in box: 1 2 7 8 4 3 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (0, 3) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 0 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 4 0 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (0, 4) #2, (2, 1) #2, (2, 4) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #1, (4, 5) #4, (4, 6) #3, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #3, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 4) #1, \n=> Impossible values in row: 8 2 4 3 1 9 5 \n=> Impossible values in column: 7 8 3 9 \n=> Impossible values in box: 9 1 2 7 8 4 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (2, 4) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 0 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (0, 4) #1, (2, 1) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #1, (4, 5) #4, (4, 6) #3, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 4) #1, \n=> Impossible values in row: 9 1 7 2 8 \n=> Impossible values in column: 7 6 8 3 9 \n=> Impossible values in box: 9 1 2 7 8 4 6 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (0, 4) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 0 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (2, 1) #1, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #1, (4, 5) #4, (4, 6) #3, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #4, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #3, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 1) #1, \n=> Impossible values in row: 8 2 4 6 3 1 9 5 \n=> Impossible values in column: 1 4 \n=> Impossible values in box: 9 1 5 8 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (2, 1) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 0 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #3, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 3) #1, (4, 5) #4, (4, 6) #3, (4, 7) #2, (4, 8) #6, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #3, (7, 2) #3, (7, 3) #3, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 3) #1, \n=> Impossible values in row: 8 \n=> Impossible values in column: 9 2 4 1 6 5 \n=> Impossible values in box: 1 8 6 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (4, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 0 0 \n0 4 7 6 3 0 8 0 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 7) #2, (4, 8) #5, (5, 0) #2, (5, 5) #3, (5, 7) #1, (5, 8) #3, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #3, (7, 2) #3, (7, 3) #2, (7, 6) #3, (7, 7) #2, (7, 8) #3, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 7) #1, \n=> Impossible values in row: 4 7 6 3 8 \n=> Impossible values in column: 2 3 9 5 7 6 \n=> Impossible values in box: 6 5 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (5, 7) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 0 0 \n0 4 7 6 3 0 8 1 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #4, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 7) #1, (4, 8) #4, (5, 0) #1, (5, 5) #3, (5, 8) #2, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #3, (7, 2) #3, (7, 3) #2, (7, 6) #3, (7, 7) #1, (7, 8) #3, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 7) #1, \n=> Impossible values in row: 7 8 \n=> Impossible values in column: 2 3 9 5 1 7 6 \n=> Impossible values in box: 6 5 8 1 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (4, 7) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n0 4 7 6 3 0 8 1 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #3, (4, 0) #3, (4, 1) #4, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 0) #1, (5, 5) #3, (5, 8) #2, (6, 0) #4, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #4, (7, 1) #3, (7, 2) #3, (7, 3) #2, (7, 6) #3, (7, 7) #1, (7, 8) #3, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 0) #1, \n=> Impossible values in row: 4 7 6 3 8 1 \n=> Impossible values in column: 9 8 3 2 \n=> Impossible values in box: 3 4 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (5, 0) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 0 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #4, (6, 3) #1, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #3, (7, 1) #3, (7, 2) #3, (7, 3) #2, (7, 6) #3, (7, 7) #1, (7, 8) #3, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 3) #1, \n=> Impossible values in row: 3 7 \n=> Impossible values in column: 9 2 4 1 7 6 5 \n=> Impossible values in box: 9 4 5 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (6, 3) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 0 0 0 7 0 \n0 0 0 0 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #3, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #3, (7, 1) #3, (7, 2) #3, (7, 3) #1, (7, 6) #3, (7, 7) #1, (7, 8) #3, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 3) #1, \n=> Impossible values in row: 9 4 \n=> Impossible values in column: 9 2 4 1 7 6 8 5 \n=> Impossible values in box: 8 9 4 5 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (7, 3) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 0 0 0 7 0 \n0 0 0 3 9 4 0 0 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #3, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #3, (7, 1) #3, (7, 2) #3, (7, 6) #2, (7, 7) #1, (7, 8) #2, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 7) #1, \n=> Impossible values in row: 3 9 4 \n=> Impossible values in column: 2 3 9 5 4 1 7 6 \n=> Impossible values in box: 7 6 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (7, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 0 0 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 0 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #3, (6, 4) #2, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #4, (8, 4) #1, (8, 5) #1, (8, 6) #2, (8, 8) #4, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 4) #1, \n=> Impossible values in row: 2 5 6 \n=> Impossible values in column: 5 7 6 8 3 9 \n=> Impossible values in box: 8 3 9 4 5 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 4) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 0 0 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #3, (6, 4) #1, (6, 5) #2, (6, 6) #3, (6, 8) #4, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 5) #1, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 4) #1, \n=> Impossible values in row: 3 8 7 \n=> Impossible values in column: 5 7 6 8 3 9 1 \n=> Impossible values in box: 8 3 9 4 5 1 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (6, 4) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 0 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 0 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 4) #1, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #3, (6, 5) #1, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 5) #1, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 4) #1, \n=> Impossible values in row: 3 1 6 5 \n=> Impossible values in column: 5 7 6 8 3 2 9 1 \n=> Impossible values in box: 1 7 8 6 3 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (3, 4) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 0 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #3, (6, 1) #3, (6, 5) #1, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 5) #1, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 5) #1, \n=> Impossible values in row: 3 8 2 7 \n=> Impossible values in column: 1 8 3 4 \n=> Impossible values in box: 8 2 3 9 4 5 1 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (6, 5) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 0 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #2, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 5) #1, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 5) #1, \n=> Impossible values in row: 2 5 1 6 \n=> Impossible values in column: 1 8 3 6 4 \n=> Impossible values in box: 8 2 6 3 9 4 5 1 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (8, 5) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - \n</stack>\n</fill number>\n<board>\n0 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 0) #2, (0, 1) #2, (0, 2) #2, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #2, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 0) #2, \n=> Impossible values in row: 9 5 1 7 2 8 \n=> Impossible values in column: 9 8 3 5 2 \n=> Impossible values in box: 9 1 5 8 7 2 \n=> All impossible values: 1 2 3 5 7 8 9 \n=> All possible values: 4 6 \n[Possible value exists]\n> Fill cell (0, 0) 4 \n=> Remaining possible values: 6 \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 \n</stack>\n</fill number>\n<board>\n4 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #1, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #1, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 4 9 5 1 7 2 8 \n=> Impossible values in column: 5 2 7 3 \n=> Impossible values in box: 4 9 1 5 8 7 2 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (0, 2) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - \n</stack>\n</fill number>\n<board>\n4 0 6 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #1, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 4 6 9 5 1 7 2 8 \n=> Impossible values in column: 1 7 4 \n=> Impossible values in box: 4 6 9 1 5 8 7 2 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (0, 1) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - \n</stack>\n</fill number>\n<board>\n4 3 6 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #2, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #1, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #3, (7, 1) #2, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 0) #1, \n=> Impossible values in row: 3 8 2 6 7 \n=> Impossible values in column: 4 9 8 3 5 2 \n=> Impossible values in box: 3 2 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (6, 0) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - (6, 0) - \n</stack>\n</fill number>\n<board>\n4 3 6 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n1 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - (6, 0) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #1, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #2, (6, 6) #2, (6, 8) #2, (7, 0) #2, (7, 1) #2, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 7 8 4 \n=> Impossible values in column: 4 9 8 3 5 1 2 \n=> Impossible values in box: 3 5 4 7 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 0) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - (6, 0) - (4, 0) - \n</stack>\n</fill number>\n<board>\n4 3 6 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n6 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n1 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - (6, 0) - (4, 0) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #2, (6, 6) #2, (6, 8) #2, (7, 0) #1, (7, 1) #2, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 0) #1, \n=> Impossible values in row: 3 9 4 8 \n=> Impossible values in column: 4 9 8 3 6 5 1 2 \n=> Impossible values in box: 1 3 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 0) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - (6, 0) - (4, 0) - (7, 0) - \n</stack>\n</fill number>\n<board>\n4 3 6 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n6 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n1 0 3 8 2 6 0 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) 6 (0, 2) - (0, 1) - (6, 0) - (4, 0) - (7, 0) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #2, (6, 6) #2, (6, 8) #2, (7, 1) #2, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 2) #1, \n=> Impossible values in row: 7 3 9 4 8 \n=> Impossible values in column: 6 5 2 7 3 \n=> Impossible values in box: 1 3 7 2 \n=> All impossible values: 1 2 3 4 5 6 7 8 9 \n=> All possible values: None\n[No possible value exists]\n=> Backtracking, pop from stack: (7, 0) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (7, 0) 0 \n=> Backtracking, pop from stack: (4, 0) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (4, 0) 0 \n=> Backtracking, pop from stack: (6, 0) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (6, 0) 0 \n=> Backtracking, pop from stack: (0, 1) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 1) 0 \n=> Backtracking, pop from stack: (0, 2) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 2) 0 \n=> Backtracking, pop from stack: (0, 0) \n=> Possible values: 6 \n[Possible value exists]\n> Fill cell (0, 0) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - \n</stack>\n</fill number>\n<board>\n6 0 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 2) #1, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #1, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #2, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #2, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 6 9 5 1 7 2 8 \n=> Impossible values in column: 1 7 4 \n=> Impossible values in box: 6 9 1 5 8 7 2 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (0, 1) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - \n</stack>\n</fill number>\n<board>\n6 3 0 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #1, (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #1, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #2, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #2, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #3, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 6 3 9 5 1 7 2 8 \n=> Impossible values in column: 5 2 7 3 \n=> Impossible values in box: 6 3 9 1 5 8 7 2 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 2) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n0 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 0) #1, (4, 1) #3, (4, 2) #3, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #2, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #2, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #2, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 7 8 4 \n=> Impossible values in column: 6 9 8 3 5 2 \n=> Impossible values in box: 3 5 4 7 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (4, 0) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n1 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n0 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 0) #1, (6, 1) #2, (6, 6) #2, (6, 8) #3, (7, 0) #1, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #2, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 0) #1, \n=> Impossible values in row: 3 8 2 6 7 \n=> Impossible values in column: 6 9 8 3 1 5 2 \n=> Impossible values in box: 3 2 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (6, 0) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n1 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 0 3 8 2 6 0 7 0 \n0 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #2, (6, 6) #2, (6, 8) #2, (7, 0) #1, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #2, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 0) #1, \n=> Impossible values in row: 3 9 4 8 \n=> Impossible values in column: 6 9 8 3 1 5 4 2 \n=> Impossible values in box: 4 3 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (7, 0) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 0 1 4 0 6 5 0 \n1 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 0 3 8 2 6 0 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #3, (3, 2) #2, (3, 5) #2, (3, 8) #3, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #2, (6, 6) #2, (6, 8) #2, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #2, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 2) #2, \n=> Impossible values in row: 3 1 4 6 5 \n=> Impossible values in column: 4 5 2 7 3 \n=> Impossible values in box: 3 1 5 4 7 \n=> All impossible values: 1 2 3 4 5 6 7 \n=> All possible values: 8 9 \n[Possible value exists]\n> Fill cell (3, 2) 8 \n=> Remaining possible values: 9 \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 0 3 8 2 6 0 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 0 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #3, (4, 2) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #2, (6, 6) #2, (6, 8) #2, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #2, (8, 2) #1, (8, 6) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 2) #1, \n=> Impossible values in row: 2 5 1 7 6 \n=> Impossible values in column: 4 5 2 8 7 3 \n=> Impossible values in box: 4 3 7 2 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (8, 2) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 0 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 0 3 8 2 6 0 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #3, (4, 2) #1, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #1, (6, 6) #2, (6, 8) #2, (7, 1) #2, (7, 2) #2, (7, 6) #2, (7, 8) #2, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 2) #1, \n=> Impossible values in row: 1 7 8 4 \n=> Impossible values in column: 4 5 2 8 7 3 9 \n=> Impossible values in box: 3 8 1 5 4 7 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 2) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 0 3 8 2 6 0 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 1) #1, (6, 6) #2, (6, 8) #2, (7, 1) #2, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 1) #1, \n=> Impossible values in row: 4 3 8 2 6 7 \n=> Impossible values in column: 3 1 7 4 \n=> Impossible values in box: 4 3 7 2 9 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (6, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 5 3 8 2 6 0 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 5) #3, (4, 6) #3, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 6) #1, (6, 8) #2, (7, 1) #1, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 6) #1, \n=> Impossible values in row: 4 5 3 8 2 6 7 \n=> Impossible values in column: 7 4 1 6 8 \n=> Impossible values in box: 7 8 6 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (6, 6) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 5 3 8 2 6 9 7 0 \n7 0 0 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #3, (5, 5) #2, (5, 8) #2, (6, 8) #1, (7, 1) #1, (7, 2) #1, (7, 6) #2, (7, 8) #2, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 8) #1, \n=> Impossible values in row: 4 5 3 8 2 6 9 7 \n=> Impossible values in column: 8 6 5 \n=> Impossible values in box: 9 7 8 6 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (6, 8) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 5 3 8 2 6 9 7 1 \n7 0 0 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #3, (5, 5) #2, (5, 8) #2, (7, 1) #1, (7, 2) #1, (7, 6) #2, (7, 8) #1, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 1) #1, \n=> Impossible values in row: 7 3 9 4 8 \n=> Impossible values in column: 3 1 7 4 5 \n=> Impossible values in box: 4 5 3 7 2 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (7, 1) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 5 3 8 2 6 9 7 1 \n7 6 0 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #3, (5, 5) #2, (5, 8) #2, (7, 2) #1, (7, 6) #2, (7, 8) #1, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 2) #1, \n=> Impossible values in row: 7 6 3 9 4 8 \n=> Impossible values in column: 4 5 2 8 6 7 3 9 \n=> Impossible values in box: 4 5 3 7 6 2 9 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (7, 2) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 0 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #3, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #3, (5, 5) #2, (5, 8) #2, (7, 6) #2, (7, 8) #1, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 8) #1, \n=> Impossible values in row: 7 6 1 3 9 4 8 \n=> Impossible values in column: 8 6 5 1 \n=> Impossible values in box: 9 7 1 8 6 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (7, 8) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 0 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #2, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #2, (5, 5) #2, (5, 8) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 8) #1, \n=> Impossible values in row: 5 4 7 6 3 8 1 \n=> Impossible values in column: 8 6 5 1 2 \n=> Impossible values in box: 6 5 4 8 1 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (5, 8) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 0 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (3, 8) #1, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #1, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 8) #1, \n=> Impossible values in row: 3 8 1 4 6 5 \n=> Impossible values in column: 8 6 5 9 1 2 \n=> Impossible values in box: 6 5 4 8 1 9 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (3, 8) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 7 \n1 0 6 7 8 0 0 4 0 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (4, 1) #2, (4, 5) #3, (4, 6) #2, (4, 8) #1, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 8) #1, \n=> Impossible values in row: 1 6 7 8 4 \n=> Impossible values in column: 8 6 5 7 9 1 2 \n=> Impossible values in box: 6 5 7 4 8 1 9 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (4, 8) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 7 \n1 0 6 7 8 0 0 4 3 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (4, 1) #2, (4, 5) #3, (4, 6) #1, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 1 6 7 8 4 3 \n=> Impossible values in column: 7 4 1 6 8 9 \n=> Impossible values in box: 6 5 7 4 3 8 1 9 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (4, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 7 \n1 0 6 7 8 0 2 4 3 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #2, (3, 5) #2, (4, 1) #1, (4, 5) #2, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 1) #1, \n=> Impossible values in row: 1 6 7 8 2 4 3 \n=> Impossible values in column: 3 1 7 4 5 6 \n=> Impossible values in box: 3 8 1 6 5 4 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 1) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 0 8 1 4 0 6 5 7 \n1 9 6 7 8 0 2 4 3 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 1) #1, (3, 5) #2, (4, 5) #1, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 1) #1, \n=> Impossible values in row: 3 8 1 4 6 5 7 \n=> Impossible values in column: 3 1 7 9 4 5 6 \n=> Impossible values in box: 3 8 1 9 6 5 4 7 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (3, 1) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 0 6 5 7 \n1 9 6 7 8 0 2 4 3 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - \n</stack>\n=> Number of possibilities (estimate): (3, 5) #1, (4, 5) #1, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 5) #1, \n=> Impossible values in row: 3 2 8 1 4 6 5 7 \n=> Impossible values in column: 1 8 3 6 4 7 \n=> Impossible values in box: 1 4 7 8 6 3 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (3, 5) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 0 2 4 3 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - \n</stack>\n=> Number of possibilities (estimate): (4, 5) #1, (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 5) #1, \n=> Impossible values in row: 1 9 6 7 8 2 4 3 \n=> Impossible values in column: 1 8 3 9 6 4 7 \n=> Impossible values in box: 1 4 9 7 8 6 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 5) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 0 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - \n</stack>\n=> Number of possibilities (estimate): (5, 5) #1, (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 5) #1, \n=> Impossible values in row: 5 4 7 6 3 8 1 9 \n=> Impossible values in column: 1 8 3 9 5 6 4 7 \n=> Impossible values in box: 1 4 9 7 8 5 6 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (5, 5) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 2 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 0 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - \n</stack>\n=> Number of possibilities (estimate): (7, 6) #1, (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 6) #1, \n=> Impossible values in row: 7 6 1 3 9 4 8 2 \n=> Impossible values in column: 7 4 1 6 2 8 9 \n=> Impossible values in box: 9 7 1 8 2 6 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (7, 6) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 2 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 5 8 2 \n2 0 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 1) #1, (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 1) #1, \n=> Impossible values in row: 2 9 5 1 7 6 \n=> Impossible values in column: 3 1 7 2 9 4 5 6 \n=> Impossible values in box: 4 5 3 7 6 1 2 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (8, 1) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - (8, 1) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 2 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 5 8 2 \n2 8 9 5 1 7 0 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - (8, 1) - \n</stack>\n=> Number of possibilities (estimate): (8, 6) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 6) #1, \n=> Impossible values in row: 2 8 9 5 1 7 6 \n=> Impossible values in column: 7 4 1 6 2 8 9 5 \n=> Impossible values in box: 9 7 1 5 8 2 6 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (8, 6) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - (8, 1) - (8, 6) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 2 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 5 8 2 \n2 8 9 5 1 7 3 6 0 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - (8, 1) - (8, 6) - \n</stack>\n=> Number of possibilities (estimate): (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 8) #1, \n=> Impossible values in row: 2 8 9 5 1 7 3 6 \n=> Impossible values in column: 8 6 5 7 3 9 1 2 \n=> Impossible values in box: 9 7 1 5 8 2 3 6 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (8, 8) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - (8, 1) - (8, 6) - (8, 8) - \n</stack>\n</fill number>\n<board>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 2 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 5 8 2 \n2 8 9 5 1 7 3 6 4 \n</board>\n<stack>\n(1, 3) - (1, 7) - (1, 8) - (2, 7) - (0, 7) - (0, 6) - (2, 3) - (0, 3) - (2, 4) - (0, 4) - (2, 1) - (4, 3) - (5, 7) - (4, 7) - (5, 0) - (6, 3) - (7, 3) - (7, 7) - (8, 4) - (6, 4) - (3, 4) - (6, 5) - (8, 5) - (0, 0) - (0, 1) - (0, 2) - (4, 0) - (6, 0) - (7, 0) - (3, 2) 9 (8, 2) - (4, 2) - (6, 1) - (6, 6) - (6, 8) - (7, 1) - (7, 2) - (7, 8) - (5, 8) - (3, 8) - (4, 8) - (4, 6) - (4, 1) - (3, 1) - (3, 5) - (4, 5) - (5, 5) - (7, 6) - (8, 1) - (8, 6) - (8, 8) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n6 3 4 9 5 1 7 2 8 \n9 1 5 2 7 8 4 3 6 \n8 7 2 4 6 3 1 9 5 \n3 2 8 1 4 9 6 5 7 \n1 9 6 7 8 5 2 4 3 \n5 4 7 6 3 2 8 1 9 \n4 5 3 8 2 6 9 7 1 \n7 6 1 3 9 4 5 8 2 \n2 8 9 5 1 7 3 6 4 \n</output>\n\n"}
{"text": "<input>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 0 3 2 0 6 0 1 \n0 2 0 0 8 0 0 0 0 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</input>\n\n<reasoning>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 0 3 2 0 6 0 1 \n0 2 0 0 8 0 0 0 0 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n\n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #5, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #3, (0, 8) #2, (1, 0) #3, (1, 2) #4, (1, 4) #3, (1, 5) #5, (1, 6) #3, (1, 7) #6, (1, 8) #3, (2, 0) #3, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 2) #2, (3, 5) #2, (3, 7) #3, (4, 0) #1, (4, 2) #2, (4, 3) #6, (4, 5) #5, (4, 6) #3, (4, 7) #3, (4, 8) #2, (5, 1) #3, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #3, (6, 0) #2, (6, 1) #2, (6, 2) #3, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #4, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 0) #1, \n=> Impossible values in row: 2 8 \n=> Impossible values in column: 5 4 6 3 \n=> Impossible values in box: 4 7 2 6 9 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (4, 0) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 0 3 2 0 6 0 1 \n1 2 0 0 8 0 0 0 0 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #5, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #3, (0, 8) #2, (1, 0) #2, (1, 2) #4, (1, 4) #3, (1, 5) #5, (1, 6) #3, (1, 7) #6, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 2) #2, (3, 5) #2, (3, 7) #3, (4, 2) #1, (4, 3) #5, (4, 5) #4, (4, 6) #3, (4, 7) #3, (4, 8) #2, (5, 1) #3, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #3, (6, 0) #2, (6, 1) #2, (6, 2) #3, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #4, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 2) #1, \n=> Impossible values in row: 1 2 8 \n=> Impossible values in column: 3 9 4 \n=> Impossible values in box: 4 7 1 2 6 9 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (4, 2) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 0 3 2 0 6 0 1 \n1 2 5 0 8 0 0 0 0 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #5, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #3, (0, 8) #2, (1, 0) #2, (1, 2) #4, (1, 4) #3, (1, 5) #5, (1, 6) #3, (1, 7) #6, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 2) #1, (3, 5) #2, (3, 7) #3, (4, 3) #4, (4, 5) #3, (4, 6) #2, (4, 7) #2, (4, 8) #1, (5, 1) #2, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #3, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #3, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 2) #1, \n=> Impossible values in row: 4 7 3 2 6 1 \n=> Impossible values in column: 3 5 9 4 \n=> Impossible values in box: 4 7 1 2 5 6 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (3, 2) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 0 6 0 1 \n1 2 5 0 8 0 0 0 0 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #3, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #3, (1, 7) #6, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 5) #2, (3, 7) #2, (4, 3) #4, (4, 5) #3, (4, 6) #2, (4, 7) #2, (4, 8) #1, (5, 1) #1, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #3, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 8) #1, \n=> Impossible values in row: 1 2 5 8 \n=> Impossible values in column: 9 1 2 8 7 \n=> Impossible values in box: 6 1 4 2 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (4, 8) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 0 6 0 1 \n1 2 5 0 8 0 0 0 3 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #3, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #3, (1, 7) #6, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 5) #2, (3, 7) #2, (4, 3) #4, (4, 5) #3, (4, 6) #1, (4, 7) #2, (5, 1) #1, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #3, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 6) #1, \n=> Impossible values in row: 1 2 5 8 3 \n=> Impossible values in column: 6 4 1 9 \n=> Impossible values in box: 6 1 3 4 2 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (4, 6) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 0 6 0 1 \n1 2 5 0 8 0 7 0 3 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #2, (1, 7) #6, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 5) #2, (3, 7) #2, (4, 3) #3, (4, 5) #3, (4, 7) #1, (5, 1) #1, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 7) #1, \n=> Impossible values in row: 1 2 5 8 7 3 \n=> Impossible values in column: 3 \n=> Impossible values in box: 6 1 7 3 4 2 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (4, 7) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 0 6 0 1 \n1 2 5 0 8 0 7 9 3 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #2, (1, 7) #6, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 5) #2, (3, 7) #1, (4, 3) #2, (4, 5) #2, (5, 1) #1, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #3, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #4, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 7) #1, \n=> Impossible values in row: 4 7 8 3 2 6 1 \n=> Impossible values in column: 3 9 \n=> Impossible values in box: 6 1 7 9 3 4 2 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (3, 7) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 0 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #5, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #2, (1, 7) #5, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (3, 5) #1, (4, 3) #2, (4, 5) #2, (5, 1) #1, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #1, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #4, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (3, 5) #1, \n=> Impossible values in row: 4 7 8 3 2 6 5 1 \n=> Impossible values in column: 7 2 \n=> Impossible values in box: 3 2 8 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (3, 5) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 0 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #2, (1, 7) #5, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (4, 3) #2, (4, 5) #2, (5, 1) #1, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #1, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #3, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 1) #1, \n=> Impossible values in row: 6 9 4 2 \n=> Impossible values in column: 9 7 2 1 \n=> Impossible values in box: 4 7 8 1 2 5 6 9 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (5, 1) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 0 0 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #3, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #3, (1, 5) #5, (1, 6) #2, (1, 7) #5, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (4, 3) #2, (4, 5) #2, (5, 3) #3, (5, 4) #1, (5, 5) #2, (5, 7) #1, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #3, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 4) #1, \n=> Impossible values in row: 6 3 9 4 2 \n=> Impossible values in column: 5 2 8 6 7 \n=> Impossible values in box: 3 2 9 8 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (5, 4) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 0 1 0 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #2, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #5, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (4, 3) #2, (4, 5) #2, (5, 3) #2, (5, 5) #1, (5, 7) #1, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #3, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #4, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 5) #1, \n=> Impossible values in row: 6 3 9 1 4 2 \n=> Impossible values in column: 7 9 2 \n=> Impossible values in box: 3 2 9 8 1 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (5, 5) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 0 1 5 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #2, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #5, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (4, 3) #2, (4, 5) #2, (5, 3) #1, (5, 7) #1, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #2, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 3) #1, \n=> Impossible values in row: 6 3 9 1 5 4 2 \n=> Impossible values in column: 2 3 \n=> Impossible values in box: 3 2 9 8 1 5 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (5, 3) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 0 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #2, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #5, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #5, (4, 3) #2, (4, 5) #2, (5, 7) #1, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #2, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (5, 7) #1, \n=> Impossible values in row: 6 3 9 7 1 5 4 2 \n=> Impossible values in column: 3 5 9 \n=> Impossible values in box: 6 5 1 7 9 3 4 2 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (5, 7) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 0 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #2, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #4, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #4, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #3, (7, 3) #3, (7, 5) #2, (7, 6) #3, (7, 7) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #3, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 7) #1, \n=> Impossible values in row: 1 4 6 7 \n=> Impossible values in column: 3 5 9 8 \n=> Impossible values in box: 1 8 7 9 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (7, 7) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 0 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #5, (0, 4) #2, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #4, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #3, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 4) #2, \n=> Impossible values in row: 5 3 \n=> Impossible values in column: 5 2 8 1 6 7 \n=> Impossible values in box: 2 5 7 \n=> All impossible values: 1 2 3 5 6 7 8 \n=> All possible values: 4 9 \n[Possible value exists]\n> Fill cell (0, 4) 4 \n=> Remaining possible values: 9 \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 \n</stack>\n</fill number>\n<board>\n5 0 0 0 4 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #4, (0, 3) #4, (0, 5) #3, (0, 6) #2, (0, 8) #1, (1, 0) #2, (1, 2) #3, (1, 4) #1, (1, 5) #4, (1, 6) #2, (1, 7) #4, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #3, (2, 6) #2, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 8) #1, \n=> Impossible values in row: 5 4 3 \n=> Impossible values in column: 9 1 3 2 8 7 \n=> Impossible values in box: 3 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (0, 8) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 4 0 0 3 6 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 2) #3, (0, 3) #3, (0, 5) #2, (0, 6) #2, (1, 0) #2, (1, 2) #3, (1, 4) #1, (1, 5) #4, (1, 6) #2, (1, 7) #3, (1, 8) #2, (2, 0) #2, (2, 1) #3, (2, 3) #3, (2, 6) #2, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 5 4 3 6 \n=> Impossible values in column: 9 7 2 3 1 \n=> Impossible values in box: 5 9 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (0, 1) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - \n</stack>\n</fill number>\n<board>\n5 8 0 0 4 0 0 3 6 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #3, (0, 3) #2, (0, 5) #1, (0, 6) #1, (1, 0) #1, (1, 2) #3, (1, 4) #1, (1, 5) #4, (1, 6) #2, (1, 7) #3, (1, 8) #2, (2, 0) #1, (2, 1) #2, (2, 3) #3, (2, 6) #2, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 5) #1, \n=> Impossible values in row: 5 8 4 3 6 \n=> Impossible values in column: 7 9 5 2 \n=> Impossible values in box: 4 2 5 7 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (0, 5) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - \n</stack>\n</fill number>\n<board>\n5 8 0 0 4 1 0 3 6 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #1, (0, 6) #1, (1, 0) #1, (1, 2) #3, (1, 4) #1, (1, 5) #3, (1, 6) #2, (1, 7) #3, (1, 8) #2, (2, 0) #1, (2, 1) #2, (2, 3) #2, (2, 6) #2, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #4, (8, 5) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 5 8 4 1 3 6 \n=> Impossible values in column: 2 3 7 \n=> Impossible values in box: 4 1 2 5 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (0, 3) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - (0, 3) - \n</stack>\n</fill number>\n<board>\n5 8 0 9 4 1 0 3 6 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 6) #1, (1, 0) #1, (1, 2) #3, (1, 4) #1, (1, 5) #3, (1, 6) #2, (1, 7) #3, (1, 8) #2, (2, 0) #1, (2, 1) #2, (2, 3) #2, (2, 6) #2, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #2, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #2, (7, 5) #2, (7, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #4, (8, 5) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #1, \n=> Impossible values in row: 5 8 9 4 1 3 6 \n=> Impossible values in column: 6 7 4 1 9 \n=> Impossible values in box: 3 6 9 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (0, 6) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - (0, 3) - (0, 6) - \n</stack>\n</fill number>\n<board>\n5 8 0 9 4 1 2 3 6 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - (0, 3) - (0, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #1, (1, 0) #1, (1, 2) #3, (1, 4) #1, (1, 5) #3, (1, 6) #2, (1, 7) #3, (1, 8) #2, (2, 0) #1, (2, 1) #2, (2, 3) #2, (2, 6) #1, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #2, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #2, (7, 5) #2, (7, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #4, (8, 5) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 5 8 9 4 1 2 3 6 \n=> Impossible values in column: 3 8 5 9 4 \n=> Impossible values in box: 5 8 9 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 2) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - (0, 3) - (0, 6) - (0, 2) - \n</stack>\n</fill number>\n<board>\n5 8 7 9 4 1 2 3 6 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) 9 (0, 8) - (0, 1) - (0, 5) - (0, 3) - (0, 6) - (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (1, 0) #1, (1, 2) #2, (1, 4) #1, (1, 5) #3, (1, 6) #2, (1, 7) #3, (1, 8) #2, (2, 0) #1, (2, 1) #2, (2, 3) #2, (2, 6) #1, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #1, (6, 3) #2, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #2, (7, 5) #2, (7, 6) #2, (8, 1) #2, (8, 2) #2, (8, 3) #4, (8, 5) #2, (8, 7) #2, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 0) #1, \n=> Impossible values in row: 9 2 \n=> Impossible values in column: 5 4 1 6 3 \n=> Impossible values in box: 5 8 7 9 3 \n=> All impossible values: 1 2 3 4 5 6 7 8 9 \n=> All possible values: None\n[No possible value exists]\n=> Backtracking, pop from stack: (0, 2) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 2) 0 \n=> Backtracking, pop from stack: (0, 6) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 6) 0 \n=> Backtracking, pop from stack: (0, 3) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 3) 0 \n=> Backtracking, pop from stack: (0, 5) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 5) 0 \n=> Backtracking, pop from stack: (0, 1) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 1) 0 \n=> Backtracking, pop from stack: (0, 8) \n=> Possible values: None\n[No possible value exists, reset cell]\n> Fill cell (0, 8) 0 \n=> Backtracking, pop from stack: (0, 4) \n=> Possible values: 9 \n[Possible value exists]\n> Fill cell (0, 4) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 0 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #4, (0, 3) #4, (0, 5) #4, (0, 6) #2, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #4, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #2, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 6) #2, \n=> Impossible values in row: 5 9 3 \n=> Impossible values in column: 6 7 4 1 9 \n=> Impossible values in box: 3 9 \n=> All impossible values: 1 3 4 5 6 7 9 \n=> All possible values: 2 8 \n[Possible value exists]\n> Fill cell (0, 6) 2 \n=> Remaining possible values: 8 \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 0 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #4, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #2, (1, 7) #4, (1, 8) #3, (2, 0) #2, (2, 1) #3, (2, 3) #4, (2, 6) #1, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 6) #1, \n=> Impossible values in row: 3 5 7 9 \n=> Impossible values in column: 2 6 7 4 1 9 \n=> Impossible values in box: 2 3 9 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (2, 6) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 0 0 0 \n0 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #4, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 6) #1, (1, 7) #4, (1, 8) #3, (2, 0) #1, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #2, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 6) #1, \n=> Impossible values in row: 9 2 \n=> Impossible values in column: 2 8 6 7 4 1 9 \n=> Impossible values in box: 2 3 8 9 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (1, 6) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 5 0 0 \n0 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #4, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 7) #4, (1, 8) #2, (2, 0) #1, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 0) #1, \n=> Impossible values in row: 3 5 7 8 9 \n=> Impossible values in column: 5 4 1 6 3 \n=> Impossible values in box: 5 9 3 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (2, 0) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 0 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #4, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #2, (7, 6) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 6) #1, \n=> Impossible values in row: 1 4 6 2 7 \n=> Impossible values in column: 2 5 8 6 7 4 1 9 \n=> Impossible values in box: 1 8 2 7 9 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (7, 6) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 0 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #4, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #5, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #2, (7, 3) #3, (7, 5) #1, (8, 1) #3, (8, 2) #2, (8, 3) #4, (8, 5) #3, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 5) #1, \n=> Impossible values in row: 1 4 6 3 2 7 \n=> Impossible values in column: 7 9 5 2 \n=> Impossible values in box: 2 6 7 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (7, 5) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n0 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #4, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #2, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 0) #1, (7, 3) #2, (8, 1) #3, (8, 2) #2, (8, 3) #3, (8, 5) #2, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 0) #1, \n=> Impossible values in row: 1 4 6 8 3 2 7 \n=> Impossible values in column: 5 2 4 1 6 3 \n=> Impossible values in box: 1 4 3 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (7, 0) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n0 0 0 0 0 2 1 0 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 0) #2, (1, 2) #3, (1, 4) #2, (1, 5) #4, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 0) #1, (6, 1) #2, (6, 2) #2, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 3) #1, (8, 1) #3, (8, 2) #2, (8, 3) #3, (8, 5) #2, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 0) #1, \n=> Impossible values in row: 2 1 8 \n=> Impossible values in column: 5 2 4 1 6 9 3 \n=> Impossible values in box: 9 1 4 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (6, 0) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n0 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 0 0 0 0 2 1 0 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #3, (0, 2) #3, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 0) #1, (1, 2) #3, (1, 4) #2, (1, 5) #4, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 1) #2, (6, 2) #1, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 3) #1, (8, 1) #3, (8, 2) #2, (8, 3) #3, (8, 5) #2, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 0) #1, \n=> Impossible values in row: 9 2 5 \n=> Impossible values in column: 5 2 4 1 6 7 9 3 \n=> Impossible values in box: 5 9 2 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (1, 0) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 0 0 0 0 2 1 0 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #3, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 2) #3, (1, 4) #2, (1, 5) #4, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 1) #2, (6, 2) #1, (6, 3) #3, (6, 4) #2, (6, 7) #2, (7, 3) #1, (8, 1) #3, (8, 2) #2, (8, 3) #3, (8, 5) #2, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 2) #1, \n=> Impossible values in row: 7 2 1 8 \n=> Impossible values in column: 3 8 5 9 4 \n=> Impossible values in box: 7 9 1 4 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (6, 2) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 0 6 0 0 2 1 0 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 2) #2, (1, 4) #2, (1, 5) #4, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 1) #1, (6, 3) #3, (6, 4) #2, (6, 7) #1, (7, 3) #1, (8, 1) #2, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 1) #1, \n=> Impossible values in row: 7 6 2 1 8 \n=> Impossible values in column: 9 7 2 3 1 \n=> Impossible values in box: 7 6 9 1 4 3 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (6, 1) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 0 0 2 1 0 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 2) #2, (1, 4) #2, (1, 5) #4, (1, 7) #4, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #3, (4, 3) #2, (4, 5) #2, (6, 3) #2, (6, 4) #2, (6, 7) #1, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #2, (8, 8) #3, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 7) #1, \n=> Impossible values in row: 7 5 6 2 1 8 \n=> Impossible values in column: 3 5 9 8 2 \n=> Impossible values in box: 1 8 3 2 7 9 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (6, 7) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 0 0 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 2) #2, (1, 4) #2, (1, 5) #4, (1, 7) #3, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 3) #1, (6, 4) #1, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 3) #1, \n=> Impossible values in row: 7 5 6 2 1 4 8 \n=> Impossible values in column: 2 3 7 \n=> Impossible values in box: 2 6 8 7 \n=> All impossible values: 1 2 3 4 5 6 7 8 \n=> All possible values: 9 \n[Possible value exists]\n> Fill cell (6, 3) 9 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 0 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 2) #2, (1, 4) #2, (1, 5) #4, (1, 7) #3, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #2, (4, 3) #2, (4, 5) #2, (6, 4) #1, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (6, 4) #1, \n=> Impossible values in row: 7 5 6 9 2 1 4 8 \n=> Impossible values in column: 9 5 2 8 1 6 7 \n=> Impossible values in box: 9 2 6 8 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (6, 4) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 0 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #4, (0, 5) #3, (0, 8) #2, (1, 2) #2, (1, 4) #1, (1, 5) #4, (1, 7) #3, (1, 8) #2, (2, 1) #2, (2, 3) #3, (2, 7) #2, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 4) #1, \n=> Impossible values in row: 8 9 2 5 \n=> Impossible values in column: 9 5 2 8 1 3 6 7 \n=> Impossible values in box: 9 2 5 7 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (1, 4) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 4 0 5 0 0 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #3, (0, 5) #2, (0, 8) #2, (1, 2) #2, (1, 5) #3, (1, 7) #3, (1, 8) #1, (2, 1) #2, (2, 3) #2, (2, 7) #2, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #2, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 8) #1, \n=> Impossible values in row: 8 9 2 4 5 \n=> Impossible values in column: 9 1 3 2 8 7 \n=> Impossible values in box: 2 3 5 8 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (1, 8) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 0 \n8 9 0 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #2, (0, 2) #2, (0, 3) #3, (0, 5) #2, (0, 8) #1, (1, 2) #2, (1, 5) #2, (1, 7) #2, (2, 1) #2, (2, 3) #2, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 8) #1, \n=> Impossible values in row: 5 9 2 3 \n=> Impossible values in column: 6 9 1 3 2 8 7 \n=> Impossible values in box: 2 3 5 6 8 9 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (0, 8) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - \n</stack>\n</fill number>\n<board>\n5 0 0 0 9 0 2 3 4 \n8 9 0 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - \n</stack>\n=> Number of possibilities (estimate): (0, 1) #1, (0, 2) #2, (0, 3) #3, (0, 5) #2, (1, 2) #2, (1, 5) #2, (1, 7) #2, (2, 1) #2, (2, 3) #2, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 1) #1, \n=> Impossible values in row: 5 9 2 3 4 \n=> Impossible values in column: 9 7 2 3 5 1 \n=> Impossible values in box: 5 8 9 2 3 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (0, 1) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - \n</stack>\n</fill number>\n<board>\n5 6 0 0 9 0 2 3 4 \n8 9 0 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #2, (0, 3) #2, (0, 5) #1, (1, 2) #2, (1, 5) #2, (1, 7) #2, (2, 1) #1, (2, 3) #2, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #2, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 5) #1, \n=> Impossible values in row: 5 6 9 2 3 4 \n=> Impossible values in column: 7 9 5 2 8 \n=> Impossible values in box: 9 2 4 5 7 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (0, 5) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - \n</stack>\n</fill number>\n<board>\n5 6 0 0 9 1 2 3 4 \n8 9 0 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - \n</stack>\n=> Number of possibilities (estimate): (0, 2) #1, (0, 3) #1, (1, 2) #2, (1, 5) #1, (1, 7) #2, (2, 1) #1, (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 2) #1, \n=> Impossible values in row: 5 6 9 1 2 3 4 \n=> Impossible values in column: 3 8 5 9 6 4 \n=> Impossible values in box: 5 6 8 9 2 3 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (0, 2) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - \n</stack>\n</fill number>\n<board>\n5 6 7 0 9 1 2 3 4 \n8 9 0 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - \n</stack>\n=> Number of possibilities (estimate): (0, 3) #1, (1, 2) #1, (1, 5) #1, (1, 7) #2, (2, 1) #1, (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (0, 3) #1, \n=> Impossible values in row: 5 6 7 9 1 2 3 4 \n=> Impossible values in column: 2 3 7 9 \n=> Impossible values in box: 9 1 2 4 5 7 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (0, 3) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 0 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - \n</stack>\n=> Number of possibilities (estimate): (1, 2) #1, (1, 5) #1, (1, 7) #2, (2, 1) #1, (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 2) #1, \n=> Impossible values in row: 8 9 2 4 5 6 \n=> Impossible values in column: 7 3 8 5 9 6 4 \n=> Impossible values in box: 5 6 7 8 9 2 3 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (1, 2) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 0 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - \n</stack>\n=> Number of possibilities (estimate): (1, 5) #1, (1, 7) #1, (2, 1) #1, (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 5) #1, \n=> Impossible values in row: 8 9 1 2 4 5 6 \n=> Impossible values in column: 1 7 9 5 2 8 \n=> Impossible values in box: 8 9 1 2 4 5 7 \n=> All impossible values: 1 2 4 5 6 7 8 9 \n=> All possible values: 3 \n[Possible value exists]\n> Fill cell (1, 5) 3 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 0 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - \n</stack>\n=> Number of possibilities (estimate): (1, 7) #1, (2, 1) #1, (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (1, 7) #1, \n=> Impossible values in row: 8 9 1 2 4 3 5 6 \n=> Impossible values in column: 3 5 9 8 4 2 \n=> Impossible values in box: 2 3 4 5 6 8 9 \n=> All impossible values: 1 2 3 4 5 6 8 9 \n=> All possible values: 7 \n[Possible value exists]\n> Fill cell (1, 7) 7 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 0 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - \n</stack>\n=> Number of possibilities (estimate): (2, 1) #1, (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 1) #1, \n=> Impossible values in row: 2 3 5 7 8 9 \n=> Impossible values in column: 6 9 7 2 3 5 1 \n=> Impossible values in box: 5 6 7 8 9 1 2 3 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (2, 1) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 0 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - \n</stack>\n=> Number of possibilities (estimate): (2, 3) #1, (2, 7) #1, (4, 3) #2, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 3) #1, \n=> Impossible values in row: 2 4 3 5 7 8 9 \n=> Impossible values in column: 8 2 3 7 9 \n=> Impossible values in box: 8 9 1 2 4 3 5 7 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (2, 3) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 0 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - \n</stack>\n=> Number of possibilities (estimate): (2, 7) #1, (4, 3) #1, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (2, 7) #1, \n=> Impossible values in row: 2 4 3 6 5 7 8 9 \n=> Impossible values in column: 3 7 5 9 8 4 2 \n=> Impossible values in box: 2 3 4 5 7 6 8 9 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (2, 7) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 0 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - \n</stack>\n=> Number of possibilities (estimate): (4, 3) #1, (4, 5) #2, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #3, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 3) #1, \n=> Impossible values in row: 1 2 5 8 7 9 3 \n=> Impossible values in column: 8 2 6 3 7 9 \n=> Impossible values in box: 3 2 9 8 7 1 5 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (4, 3) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 0 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - \n</stack>\n=> Number of possibilities (estimate): (4, 5) #1, (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #2, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (4, 5) #1, \n=> Impossible values in row: 1 2 5 4 8 7 9 3 \n=> Impossible values in column: 1 3 7 9 5 2 8 \n=> Impossible values in box: 3 2 9 4 8 7 1 5 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (4, 5) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 0 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - \n</stack>\n=> Number of possibilities (estimate): (7, 3) #1, (8, 1) #1, (8, 2) #1, (8, 3) #2, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (7, 3) #1, \n=> Impossible values in row: 9 1 4 6 8 3 2 7 \n=> Impossible values in column: 8 2 6 3 4 7 9 \n=> Impossible values in box: 9 3 2 6 8 7 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (7, 3) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 0 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - \n</stack>\n=> Number of possibilities (estimate): (8, 1) #1, (8, 2) #1, (8, 3) #1, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 1) #1, \n=> Impossible values in row: 3 7 9 \n=> Impossible values in column: 6 9 4 7 2 3 5 1 \n=> Impossible values in box: 7 5 6 9 1 4 3 \n=> All impossible values: 1 2 3 4 5 6 7 9 \n=> All possible values: 8 \n[Possible value exists]\n> Fill cell (8, 1) 8 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 0 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - \n</stack>\n=> Number of possibilities (estimate): (8, 2) #1, (8, 3) #1, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 2) #1, \n=> Impossible values in row: 3 8 7 9 \n=> Impossible values in column: 7 1 3 8 5 9 6 4 \n=> Impossible values in box: 7 5 6 9 1 4 3 8 \n=> All impossible values: 1 3 4 5 6 7 8 9 \n=> All possible values: 2 \n[Possible value exists]\n> Fill cell (8, 2) 2 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 2 0 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - \n</stack>\n=> Number of possibilities (estimate): (8, 3) #1, (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 3) #1, \n=> Impossible values in row: 3 8 2 7 9 \n=> Impossible values in column: 8 2 6 3 4 7 9 5 \n=> Impossible values in box: 9 3 2 5 6 8 7 \n=> All impossible values: 2 3 4 5 6 7 8 9 \n=> All possible values: 1 \n[Possible value exists]\n> Fill cell (8, 3) 1 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 2 1 7 0 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - \n</stack>\n=> Number of possibilities (estimate): (8, 5) #1, (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 5) #1, \n=> Impossible values in row: 3 8 2 1 7 9 \n=> Impossible values in column: 1 3 7 9 6 5 2 8 \n=> Impossible values in box: 9 3 2 5 6 8 1 7 \n=> All impossible values: 1 2 3 5 6 7 8 9 \n=> All possible values: 4 \n[Possible value exists]\n> Fill cell (8, 5) 4 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - (8, 5) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 2 1 7 4 9 0 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - (8, 5) - \n</stack>\n=> Number of possibilities (estimate): (8, 7) #1, (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 7) #1, \n=> Impossible values in row: 3 8 2 1 7 4 9 \n=> Impossible values in column: 3 7 1 5 9 8 4 2 \n=> Impossible values in box: 1 4 8 3 2 7 9 \n=> All impossible values: 1 2 3 4 5 7 8 9 \n=> All possible values: 6 \n[Possible value exists]\n> Fill cell (8, 7) 6 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - (8, 5) - (8, 7) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 2 1 7 4 9 6 0 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - (8, 5) - (8, 7) - \n</stack>\n=> Number of possibilities (estimate): (8, 8) #1, \n[Sudoku is not solved]\n<fill number>\n=> Minimum estimated value: (8, 8) #1, \n=> Impossible values in row: 3 8 2 1 7 4 9 6 \n=> Impossible values in column: 4 6 9 1 3 2 8 7 \n=> Impossible values in box: 1 4 8 3 2 7 9 6 \n=> All impossible values: 1 2 3 4 6 7 8 9 \n=> All possible values: 5 \n[Possible value exists]\n> Fill cell (8, 8) 5 \n=> Remaining possible values: - \n[update stack]\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - (8, 5) - (8, 7) - (8, 8) - \n</stack>\n</fill number>\n<board>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 2 1 7 4 9 6 5 \n</board>\n<stack>\n(4, 0) - (4, 2) - (3, 2) - (4, 8) - (4, 6) - (4, 7) - (3, 7) - (3, 5) - (5, 1) - (5, 4) - (5, 5) - (5, 3) - (5, 7) - (7, 7) - (0, 4) - (0, 6) 8 (2, 6) - (1, 6) - (2, 0) - (7, 6) - (7, 5) - (7, 0) - (6, 0) - (1, 0) - (6, 2) - (6, 1) - (6, 7) - (6, 3) - (6, 4) - (1, 4) - (1, 8) - (0, 8) - (0, 1) - (0, 5) - (0, 2) - (0, 3) - (1, 2) - (1, 5) - (1, 7) - (2, 1) - (2, 3) - (2, 7) - (4, 3) - (4, 5) - (7, 3) - (8, 1) - (8, 2) - (8, 3) - (8, 5) - (8, 7) - (8, 8) - \n</stack>\n=> Number of possibilities (estimate): \n[Sudoku is solved]\n</reasoning>\n\n<output>\n5 6 7 8 9 1 2 3 4 \n8 9 1 2 4 3 5 7 6 \n2 4 3 6 5 7 8 1 9 \n4 7 8 3 2 9 6 5 1 \n1 2 5 4 8 6 7 9 3 \n6 3 9 7 1 5 4 8 2 \n7 5 6 9 3 2 1 4 8 \n9 1 4 5 6 8 3 2 7 \n3 8 2 1 7 4 9 6 5 \n</output>\n\n"}