Exercise17_18.cpp - This program finds just one solution...

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/* This program finds just one solution, Exercise 8_20 finds all possible solutions */ #include <iostream> using namespace std; int grid[9] [9]; // Hold Sudoku puzzle bool isFree[9] [9]; // isFree[i][j] is true if (i, j) needs to be filled void readAPuzzle(); bool isValid(int i, int j); void printResult(); bool search(int row, int column); void findFreeCells(); /** Read a Sudoku puzzle from the keyboard */ void readAPuzzle() { // Create a Scanner cout << "Enter a Sudoku puzzle:" << endl; for (int i = 0; i < 9; i++) for (int j = 0; j < 9; j++) cin >> grid[i] [j]; } /** Check whether grid[i][j] is valid in the grid */ bool isValid(int i, int j) { // Check whether grid[i][j] is valid at the i's row for (int column = 0; column < 9; column++) if (column != j && grid[i] [column] == grid[i] [j]) return false; // Check whether grid[i][j] is valid at the j's column for (int row = 0; row < 9; row++) if (row != i && grid[row] [j] == grid[i] [j]) return false; // Check whether grid[i][j] is valid in the 3 by 3 box for (int row = (i / 3) * 3; row < (i / 3) * 3 + 3; row++) for (int col = (j / 3) * 3; col < (j / 3) * 3 + 3; col++) if (row != i && col != j && grid[row] [col] == grid[i] [j]) return false; return true; // The current value at grid[i][j] is valid
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