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70 changes: 70 additions & 0 deletions algorithms/backtracking/ratInMaze.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;

#define N 4

bool solveMazeUtil(int maze[N][N], int x, int y,int sol[N][N]);

void printSolution(int sol[N][N])
{
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++)
cout<<" "<<sol[i][j]<<" ";
cout<<endl;
}
}

bool isSafe(int maze[N][N], int x, int y)
{
if (x >= 0 && x < N && y >= 0 && y < N && maze[x][y] == 1)
return true;
return false;
}

bool solveMaze(int maze[N][N])
{
int sol[N][N] = { { 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 } };
if (solveMazeUtil(maze, 0, 0, sol) == false) {
cout<<"Solution doesn't exist";
return false;
}
printSolution(sol);
return true;
}

bool solveMazeUtil(int maze[N][N], int x, int y, int sol[N][N])
{
if (x == N - 1 && y == N - 1 && maze[x][y] == 1) {
sol[x][y] = 1;
return true;
}
if (isSafe(maze, x, y) == true) {
if (sol[x][y] == 1)
return false;
sol[x][y] = 1;
if (solveMazeUtil(maze, x + 1, y, sol) == true)
return true;
if (solveMazeUtil(maze, x - 1, y, sol) == true)
return true;
if (solveMazeUtil(maze, x, y + 1, sol) == true)
return true;
if (solveMazeUtil(maze, x, y - 1, sol) == true)
return true;
sol[x][y] = 0;
return false;
}
return false;
}

int main()
{
int maze[N][N] = { { 1, 0, 0, 0 },
{ 1, 1, 0, 1 },
{ 0, 1, 0, 0 },
{ 1, 1, 1, 1 } };
solveMaze(maze);
return 0;
}