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-rw-r--r--domino_tromino_tiling.cpp28
1 files changed, 28 insertions, 0 deletions
diff --git a/domino_tromino_tiling.cpp b/domino_tromino_tiling.cpp
new file mode 100644
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--- /dev/null
+++ b/domino_tromino_tiling.cpp
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+#include "leetcode.h"
+#include <vector>
+
+class Solution {
+public:
+ int numTilings(int n) {
+ int mod = 1e9;
+ mod += 7;
+ vector<long long> ans(1001, 0);
+ ans[1] = 1;
+ ans[2] = 2;
+ ans[3] = 5;
+ if (n <= 3)
+ return ans[n];
+ for (int i = 4; i <= n; ++i) {
+ ans[i] = 2 * ans[i - 1] + ans[i - 3];
+ ans[i] %= mod;
+ }
+ return ans[n];
+ }
+};
+
+int main() {
+ Solution obj;
+ cout << obj.numTilings(3); // 5
+ cout << endl;
+ cout << obj.numTilings(1); // 1
+}