From 7777b5824889b3beee050a8cbc38110ec34c5914 Mon Sep 17 00:00:00 2001
From: Nandhika Jhansi <91628798+Nandhika2003@users.noreply.github.com>
Date: Sun, 1 Oct 2023 02:31:54 +0530
Subject: [PATCH] Create ratInMaze.cpp

---
 algorithms/backtracking/ratInMaze.cpp | 70 +++++++++++++++++++++++++++
 1 file changed, 70 insertions(+)
 create mode 100644 algorithms/backtracking/ratInMaze.cpp

diff --git a/algorithms/backtracking/ratInMaze.cpp b/algorithms/backtracking/ratInMaze.cpp
new file mode 100644
index 00000000..0c95ba1e
--- /dev/null
+++ b/algorithms/backtracking/ratInMaze.cpp
@@ -0,0 +1,70 @@
+#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;
+}