Create 773. Sliding Puzzle

773. Sliding Puzzle

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+class Solution {
+public:
+
+    pair<int, int>Finding_The_IndexOf_cell(vector<vector<int>>board){
+           int x,y;
+            for(int i = 0; i < 2 ;i++)
+                for(int j = 0;j < 3; j++)
+                   if(!board[i][j])x = i, y = j;
+
+          return {x, y};
+    }
+
+    int slidingPuzzle(vector<vector<int>>& board) {
+
+        int dx[4]{1, -1, 0, 0}, dy[4]{0, 0, 1, -1}; // 4 neighbours cells
+        map<vector<vector<int>> ,int>vis;
+        queue<vector<vector<int>>>q;
+        q.push(board);
+
+        //BFS
+        while(q.size()){                
+            auto cur_board = q.front(); q.pop();
+
+             if(cur_board[0][0] == 1 &&     // Wining Case
+                cur_board[0][1] == 2 && 
+                cur_board[0][2] == 3 && 
+                cur_board[1][0] == 4 && 
+                cur_board[1][1] == 5 && 
+                !cur_board[1][2]){
+                     return vis[cur_board];
+                }
+
+            auto last_board = cur_board;
+            auto [x,y] = Finding_The_IndexOf_cell(cur_board);
+
+            for(int i = 0;i < 4; i++){          // Try 4 neighbours cells
+                int x2 = x + dx[i] , y2 = y + dy[i];
+
+                if(x2 >= 0 && x2 < 2 && y2 >= 0 && y2 < 3){
+                    swap(cur_board[x][y], cur_board[x2][y2]);     //Do
+
+                    if(!vis.count(cur_board)){
+                        vis[cur_board] = vis[last_board] + 1, 
+                        q.push(cur_board);
+                    }
+
+                    swap(cur_board[x][y], cur_board[x2][y2]);  
+                    //(backtracking)
+                }
+            }
+        }
+
+        return -1;
+    }
+};