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AllPaths.java
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AllPaths.java
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public class AllPaths {
public static void main(String[] args) {
boolean[][] board = {
{ true, true, true },
{ true, true, true },
{ true, true, true }
};
int[][] path = new int[board.length][board[0].length];
// findAllPaths("", board, 0, 0);
printAllPaths("", board, 0, 0, path, 1);
}
static void findAllPaths(String p, boolean[][] maze, int r, int c) {
if (r == maze.length - 1 && c == maze[0].length - 1) {
System.out.println(p);
return;
}
if (!maze[r][c]) {
return;
}
// considering this block in my path
maze[r][c] = false;
if (r < maze.length - 1) {
findAllPaths(p + 'D', maze, r + 1, c);
}
if (c < maze[0].length - 1) {
findAllPaths(p + 'R', maze, r, c + 1);
}
if (r > 0) {
findAllPaths(p + 'U', maze, r - 1, c);
}
if (c > 0) {
findAllPaths(p + 'L', maze, r, c - 1);
}
// while going back mark it as true for future paths
maze[r][c] = true;
}
static void printAllPaths(String p, boolean[][] maze, int r, int c, int[][] path, int steps) {
if (r == maze.length - 1 && c == maze[0].length - 1) {
path[r][c] = steps;
pritnMatrix(path);
System.out.println();
return;
}
if (!maze[r][c]) {
return;
}
// considering this block in my path
maze[r][c] = false;
path[r][c] = steps;
if (r < maze.length - 1) {
printAllPaths(p + 'D', maze, r + 1, c, path, steps + 1);
}
if (c < maze[0].length - 1) {
printAllPaths(p + 'R', maze, r, c + 1, path, steps + 1);
}
if (r > 0) {
printAllPaths(p + 'U', maze, r - 1, c, path, steps + 1);
}
if (c > 0) {
printAllPaths(p + 'L', maze, r, c - 1, path, steps + 1);
}
// while going back mark it as true for future paths
maze[r][c] = true;
path[r][c] = 0;
}
static void pritnMatrix(int[][] path) {
for (int[] row : path) {
for (int col : row) {
System.out.print(col + " ");
}
System.out.println();
}
}
}