Solving killer sudoku with computer generated hints
This is an example of a killer sudoku. This slideshow let you see how you can solve it. If you are not familiar with these type of puzzles then have a look at Artisanal Sudoku from James Sinclair.
hint: equation G9 + I7 = 12 in rectangle [G7..I9] size=9
Hint: equation (G9={1, 2, 3, 4, 5}) := {3, 4, 5}
Hint: equation (I7={1, 2, 3, 4, 5, 6, 7, 8, 9}) := {7, 8, 9}
hint: equation C9 + C2 = 10 in rectangle [A1..B9] size=18
Hint: equation (C9={2, 3, 4, 5, 6, 7, 8, 9}) := {6, 7, 8, 9}
Hint: equation (C2={1, 2, 3, 4, 5}) := {1, 2, 3, 4}
hint: captured candidates {1} in [B2, B3, C2] can be removed from [A1, A2, B1, C1, C3]
Hint: captured candidates {1} in [B2, B3, C2] removed from [A1, A2, B1, C1, C3]
hint: captured candidates {8, 9} in [A3, A4, A5, A6, A7] can be removed from [A1, A2, A8, A9]
Hint: captured candidates {8, 9} in [A3, A4, A5, A6, A7] removed from [A1, A2, A8, A9]
hint: invalid hidden cage combo [A1, A2, A8, A9] with sum 13, {2, 3, 4, 5, 6, 7} in [A8] can be removed
Hint: invalid hidden cage combo {2, 3, 4, 5, 6, 7} in [A8] removed
hint: invalid hidden cage combo [A3, C1, C3] with sum 22, {2, 3, 4} in [A3, C1, C3] can be removed
Hint: invalid hidden cage combo {2, 3, 4} in [A3, C1, C3] removed
hint: invalid hidden cage combo [A7, C7, C8] with sum 9, {5, 6, 7, 8, 9} in [A7, C7, C8] can be removed
Hint: invalid hidden cage combo {5, 6, 7, 8, 9} in [A7, C7, C8] removed
hint: invalid hidden cage combo [C2, C9] with sum 10, {6} in [C9] can be removed
Hint: invalid hidden cage combo {6} in [C9] removed
hint: invalid hidden cage combo [B3, E3, H3] with sum 11, {9} in [E3, H3] can be removed
Hint: invalid hidden cage combo {9} in [E3, H3] removed
hint: invalid hidden cage combo [E2, E3, E9] with sum 19, {1} in [E2, E3] can be removed
Hint: invalid hidden cage combo {1} in [E2, E3] removed
hint: invalid hidden cage combo [E1, E7, E8] with sum 9, {8, 9, 7} in [E1] can be removed
Hint: invalid hidden cage combo {8, 9, 7} in [E1] removed
hint: naked conjugated squares {1, 2, 3, 5} in [C7, C2, C5, C6] can be removed from [C1, C3, C4]
Hint: naked conjugated squares {1, 2, 3, 5} in [C7, C2, C5, C6] removed from [C1, C3, C4]
hint: naked conjugated squares {2, 3} in [A7, C7] can be removed from [B7, D7, E7, F7, G7, H7, A9, B7, B8, B9]
Hint: naked conjugated squares {2, 3} in [A7, C7] removed from [B7, D7, E7, F7, G7, H7, A9, B7, B8, B9]
hint: invalid cage combo {3, 4} in [C5, C6, D5] can be removed
Hint: invalid cage combo {3, 4} in [C5, C6, D5] removed
hint: invalid cage combo {8, 5, 6} in [B8, B7] can be removed
Hint: invalid cage combo {8, 5, 6} in [B8, B7] removed
hint: invalid cage combo {1, 2, 3, 4, 5} in [D7, D6] can be removed
Hint: invalid cage combo {1, 2, 3, 4, 5} in [D7, D6] removed
hint: invalid cage combo {9, 7} in [A9, B9, C9] can be removed
Hint: invalid cage combo {9, 7} in [A9, B9, C9] removed
hint: invalid cage combo {8, 9, 6, 7} in [D4, D3] can be removed
Hint: invalid cage combo {8, 9, 6, 7} in [D4, D3] removed
hint: invalid cage combo {5, 6} in [D8, D9, E9] can be removed
Hint: invalid cage combo {5, 6} in [D8, D9, E9] removed
hint: invalid cage combo {2, 3, 4} in [A4, A5, A6] can be removed
Hint: invalid cage combo {2, 3, 4} in [A4, A5, A6] removed
hint: intersection reduction {4} in [A1, A2] can be removed from [B1]
Hint: intersection reduction {4} in [A1, A2] removed from [B1]
hint: intersection reduction {3} in [B4, B5, B6] can be removed from [B1, B2, B3]
Hint: intersection reduction {3} in [B4, B5, B6] removed from [B1, B2, B3]
hint: intersection reduction {5} in [C5, C6] can be removed from [D5]
Hint: intersection reduction {5} in [C5, C6] removed from [D5]
hint: intersection reduction {6} in [D7, F7] can be removed from [G7, H7]
Hint: intersection reduction {6} in [D7, F7] removed from [G7, H7]
hint: intersection reduction {5} in [A9, B9] can be removed from [F9, G9, H9, I9]
Hint: intersection reduction {5} in [A9, B9] removed from [F9, G9, H9, I9]
hint: intersection reduction {3} in [E8, F8, F9] can be removed from [E7, G9]
Hint: intersection reduction {3} in [E8, F8, F9] removed from [E7, G9]
hint: captured candidates {3, 4} in [B4, B5, B6] can be removed from [B2, B3]
Hint: captured candidates {3, 4} in [B4, B5, B6] removed from [B2, B3]
hint: captured candidates {1, 2, 3, 5} in [E7, E8, F8, F9] can be removed from [F7]
Hint: captured candidates {1, 2, 3, 5} in [E7, E8, F8, F9] removed from [F7]
hint: captured candidates {9, 7} in [B8, B7] can be removed from [B1]
Hint: captured candidates {9, 7} in [B8, B7] removed from [B1]
hint: captured candidates {5, 6} in [A9, B9] can be removed from [H9, I9]
Hint: captured candidates {5, 6} in [A9, B9] removed from [H9, I9]
hint: captured candidates {8, 9, 7} in [D8, D9, E9] can be removed from [D7, F7]
Hint: captured candidates {8, 9, 7} in [D8, D9, E9] removed from [D7, F7]
hint: captured candidates {8, 9, 7} in [A3, A4, A5, A6, A7] can be removed from [A1, A2]
Hint: captured candidates {8, 9, 7} in [A3, A4, A5, A6, A7] removed from [A1, A2]
hint: invalid hidden cage combo [A1, A2, A9] with sum 12, {5, 6} in [A1, A2] can be removed
Hint: invalid hidden cage combo {5, 6} in [A1, A2] removed
hint: invalid hidden cage combo [A3, C1, C3] with sum 22, {8, 5} in [A3] can be removed
Hint: invalid hidden cage combo {8, 5} in [A3] removed
hint: invalid hidden cage combo [I7] with sum 8, {9, 7} in [I7] can be removed
Hint: invalid hidden cage combo {9, 7} in [I7] removed
hint: invalid hidden cage combo [C2] with sum 2, {1, 3} in [C2] can be removed
Hint: invalid hidden cage combo {1, 3} in [C2] removed
hint: invalid hidden cage combo [G1, G7, G8] with sum 14, {9} in [G1, G8] can be removed
Hint: invalid hidden cage combo {9} in [G1, G8] removed
hint: invalid hidden cage combo [B3, E3, H3] with sum 11, {1, 5} in [E3, H3] can be removed
Hint: invalid hidden cage combo {1, 5} in [E3, H3] removed
hint: invalid hidden cage combo [E2, E3, E9] with sum 19, {5} in [E2] can be removed
Hint: invalid hidden cage combo {5} in [E2] removed
hint: invalid hidden cage combo [E1, E7, E8] with sum 9, {2, 4} in [E1] can be removed
Hint: invalid hidden cage combo {2, 4} in [E1] removed
hint: invalid hidden cage combo [A1, A2, A9] with sum 12, {6} in [A9] can be removed
Hint: invalid hidden cage combo {6} in [A9] removed
hint: hidden single {8} in [B1] can be removed from [D1, F1, G1, H1]
Hint: hidden single {8} in [B1] removed from [D1, F1, G1, H1]
hint: hidden single {8} in [D8] can be removed from [D2, D6]
Hint: hidden single {8} in [D8] removed from [D2, D6]
hint: naked conjugated squares {1, 5, 8} in [B1, B2, B3] can be removed from [B4, B5, B6]
Hint: naked conjugated squares {1, 5, 8} in [B1, B2, B3] removed from [B4, B5, B6]
hint: naked conjugated squares {9, 7} in [D6, D9] can be removed from [D1, D2, D8]
Hint: naked conjugated squares {9, 7} in [D6, D9] removed from [D1, D2, D8]
hint: naked conjugated squares {9, 7} in [D9, E9] can be removed from [H9, I9]
Hint: naked conjugated squares {9, 7} in [D9, E9] removed from [H9, I9]
hint: naked conjugated squares {1, 5} in [B2, B3] can be removed from [B1, B1]
Hint: naked conjugated squares {1, 5} in [B2, B3] removed from [B1, B1]
hint: invalid cage combo {1} in [D5] can be removed
Hint: invalid cage combo {1} in [D5] removed
hint: invalid cage combo {1, 5, 6, 7} in [H9, I9, I8] can be removed
Hint: invalid cage combo {1, 5, 6, 7} in [H9, I9, I8] removed
hint: invalid cage combo {1, 7} in [F6, G6] can be removed
Hint: invalid cage combo {1, 7} in [F6, G6] removed
hint: invalid cage combo {7} in [D6] can be removed
Hint: invalid cage combo {7} in [D6] removed
hint: invalid cage combo {9, 2, 3} in [G7, G8, H8, H7] can be removed
Hint: invalid cage combo {9, 2, 3} in [G7, G8, H8, H7] removed
hint: intersection reduction {9} in [I8] can be removed from [I1, I2, I3, I4, I5]
Hint: intersection reduction {9} in [I8] removed from [I1, I2, I3, I4, I5]
hint: intersection reduction {1} in [G7, H7] can be removed from [E7]
Hint: intersection reduction {1} in [G7, H7] removed from [E7]
hint: intersection reduction {9} in [I8] can be removed from [B8]
Hint: intersection reduction {9} in [I8] removed from [B8]
hint: captured candidates {6} in [E4, E5, E6] can be removed from [E1, E2, E3, F4, F5, F6]
Hint: captured candidates {6} in [E4, E5, E6] removed from [E1, E2, E3, F4, F5, F6]
hint: captured candidates {3, 5, 6, 7} in [I3, I4, I5, I6] can be removed from [I1, I2, I8, I9]
Hint: captured candidates {3, 5, 6, 7} in [I3, I4, I5, I6] removed from [I1, I2, I8, I9]
hint: invalid hidden cage combo [G1, G7, G8] with sum 14, {3, 5, 6} in [G1] can be removed
Hint: invalid hidden cage combo {3, 5, 6} in [G1] removed
hint: invalid hidden cage combo [B3, E3, H3] with sum 11, {7} in [E3] can be removed
Hint: invalid hidden cage combo {7} in [E3] removed
hint: invalid hidden cage combo [E2, E3] with sum 10, {4} in [E2, E3] can be removed
Hint: invalid hidden cage combo {4} in [E2, E3] removed
hint: invalid hidden cage combo [E1, E8] with sum 4, {2} in [E1, E8] can be removed
Hint: invalid hidden cage combo {2} in [E1, E8] removed
hint: invalid hidden cage combo [E2, E3] with sum 10, {7} in [E2, E3] can be removed
Hint: invalid hidden cage combo {7} in [E2, E3] removed
hint: invalid hidden cage combo [H3] with sum 8, {6, 7} in [H3] can be removed
Hint: invalid hidden cage combo {6, 7} in [H3] removed
hint: naked conjugated squares {4, 6, 7} in [E4, E5, E6] can be removed from [F4, F5]
Hint: naked conjugated squares {4, 6, 7} in [E4, E5, E6] removed from [F4, F5]
hint: naked conjugated squares {6, 7, 9} in [A3, C3, F3] can be removed from [G3, I3]
Hint: naked conjugated squares {6, 7, 9} in [A3, C3, F3] removed from [G3, I3]
hint: invalid cage combo {7} in [H4, H5, H6] can be removed
Hint: invalid cage combo {7} in [H4, H5, H6] removed
hint: invalid cage combo {8, 9, 7} in [F3, F4] can be removed
Hint: invalid cage combo {8, 9, 7} in [F3, F4] removed
hint: invalid cage combo {2, 5} in [G6] can be removed
Hint: invalid cage combo {2, 5} in [G6] removed
hint: invalid cage combo {6, 7} in [G1, H1] can be removed
Hint: invalid cage combo {6, 7} in [G1, H1] removed
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