The Math of Sudoku

The GameA Sudoku board is a 9 × 9 table filled with nine different symbols, usually1, 2, · · · , 9, that has been partitioned into nine 3 × 3 blocks such that:each symbol appears exactly once in each row,each symbol appears exactly once in each column,each symbol appears exactly once in each block.The game consists in completing a sudoku board from the few entriesgiven.5 3 4 6 7 8 9 1 26 7 2 1 9 5 3 4 81 9 8 3 4 2 5 6 78 5 9 7 6 1 4 2 34 2 6 8 5 3 7 9 17 1 3 9 2 4 8 5 69 6 1 5 3 7 2 8 42 8 7 4 1 9 6 3 53 4 5 2 8 6 1 7 9