Add 11440.cpp

11xxx/11440.cpp

@@ -0,0 +1,38 @@
+#include <iostream>
+#include <vector>
+#define MOD 1000000007
+using namespace std;
+using Matrix = vector<vector<long long>>;
+
+Matrix matmul(Matrix a, Matrix b) {
+  Matrix c(2, vector<long long>(2));
+  for (int i=0; i<2; i++) for (int j=0; j<2; j++) for (int k=0; k<2; k++) {
+    c[i][j] = (c[i][j] + a[i][k] * b[k][j]) % MOD;
+  }
+  return c;
+}
+
+Matrix matpow(Matrix base, long long exp) {
+  Matrix ret(2, vector<long long>(2, 0));
+  for (int i=0; i<2; i++) ret[i][i] = 1;
+  while (exp) {
+    if (exp & 1) ret = matmul(ret, base);
+    base = matmul(base, base);
+    exp >>= 1;
+  }
+  return ret;
+}
+
+void solve(void) {
+  long long n; cin >> n;
+
+  cout << (matpow({{1, 1}, {1, 0}}, n)[0][1] * matpow({{1, 1}, {1, 0}}, n+1)[0][1]) % MOD;
+}
+
+int main(void) {
+  ios::sync_with_stdio(false);
+  cin.tie(nullptr);
+
+  solve();
+  return 0;
+}