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86 lines
1.4 KiB
C++
86 lines
1.4 KiB
C++
#include <iostream>
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#include <cstring>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 10;
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const int mod = 1e9 + 7;
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class Matrix {
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private:
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int data[N][N];
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public:
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Matrix() {
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memset(data, 0x00, sizeof(data));
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}
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int* operator[](int i) {
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return data[i];
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}
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void build() {
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int n = 3;
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for (int i = 1; i <= n; i++) {
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data[i][i] = 1;
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}
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}
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Matrix operator*(Matrix b) const {
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Matrix c;
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int n = 3;
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= n; j++) {
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for (int k = 1; k <= n; k++) {
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c[i][j] = (c[i][j] + 1ll * data[i][k] * b[k][j] % mod) % mod;
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}
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}
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}
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return c;
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}
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};
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Matrix binpow(Matrix a, int k) {
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Matrix res;
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res.build();
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while (k) {
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if (k & 1) res = res * a;
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a = a * a;
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k >>= 1;
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}
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return res;
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}
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int t, n;
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int main() {
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std::ios::sync_with_stdio(false);
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cin >> t;
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Matrix base, pow;
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base[1][1] = 1;
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base[2][1] = 1;
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base[3][1] = 1;
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pow[1][1] = 1, pow[1][2] = 0, pow[1][3] = 1;
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pow[2][1] = 1, pow[2][2] = 0, pow[2][3] = 0;
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pow[3][1] = 0, pow[3][2] = 1, pow[3][3] = 0;
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while (t--) {
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cin >> n;
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cout << (base * binpow(pow, n - 1))[1][1] << endl;
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}
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return 0;
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}
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