From 661e814e69a548fe18561be7ca36d52b537d1691 Mon Sep 17 00:00:00 2001
From: chayan das <dasshuvo817@gmail.com>
Date: Mon, 5 May 2025 15:55:46 +0530
Subject: [PATCH] Create 790. Domino and Tromino Tiling

---
 790. Domino and Tromino Tiling | 24 ++++++++++++++++++++++++
 1 file changed, 24 insertions(+)
 create mode 100644 790. Domino and Tromino Tiling

diff --git a/790. Domino and Tromino Tiling b/790. Domino and Tromino Tiling
new file mode 100644
index 0000000..26e16e1
--- /dev/null
+++ b/790. Domino and Tromino Tiling	
@@ -0,0 +1,24 @@
+class Solution {
+public:
+    const int MOD = 1e9 + 7;
+    int numTilings(int n) {
+        if (n == 0) return 1;
+        if (n == 1) return 1;
+        if (n == 2) return 2;
+
+        vector<long long> dp(n+1), prefix(n+1);
+        dp[0] = 1;
+        dp[1] = 1;
+        dp[2] = 2;
+        prefix[0] = 1;
+        prefix[1] = 2;
+        prefix[2] = 4;
+
+        for (int i = 3; i <= n; ++i) {
+            dp[i] = (dp[i-1] + dp[i-2] + 2 * prefix[i-3]) % MOD;
+            prefix[i] = (prefix[i-1] + dp[i]) % MOD;
+        }
+
+        return dp[n];
+    }
+};