Create 0576-out-of-boundary-paths.java

Author: sujal-goswami

java/0576-out-of-boundary-paths.java

@@ -0,0 +1,23 @@
+class Solution {
+    int Rows, Cols;
+    int MOD = (int) 1e9 + 7;
+    public int findPaths(int m, int n, int maxMove, int startRow, int startColumn) {
+        Rows = m;
+        Cols = n;
+        Map<String, Integer> cache = new HashMap<>();
+        return dfs(startRow, startColumn, maxMove, cache);
+    }
+    private int dfs(int r, int c, int moves, Map<String, Integer> cache){
+        if(r < 0 || r >= Rows || c < 0 || c >= Cols)
+            return 1;
+        if(moves == 0)
+            return 0;
+        String pos = r + "," + c + "," + moves;
+        if(cache.containsKey(pos))
+            return cache.get(pos);
+
+        int res = ((dfs(r-1, c, moves-1, cache) + dfs(r+1, c, moves-1, cache))%MOD + (dfs(r, c-1, moves-1, cache) + dfs(r, c+1, moves-1, cache))%MOD)%MOD;
+        cache.put(pos, res);
+        return res;            
+    }
+}