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#1789. 【2017.3 长乐省选集训 Day15 T1】斐波那契
https://sjzezoj.com/submission/65549
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S2OJ/1789/1789.cpp
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S2OJ/1789/1789.cpp
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#include <iostream>
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#include <array>
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#include <cstring>
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#include <numeric>
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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 = 1e5 + 5;
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const int mod = 1e9 + 7;
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class Matrix {
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private:
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long long data[10][10];
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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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long long* operator[](long long i) {
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return data[i];
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}
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Matrix operator*(Matrix b) const {
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Matrix c;
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for (int i = 0; i < 3; i++) {
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for (int j = 0; j < 3; j++) {
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for (int k = 0; k < 3; k++) {
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c[i][j] = (c[i][j] + 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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Matrix operator-(Matrix b) const {
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Matrix c;
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for (int i = 0; i < 3; i++) {
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for (int j = 0; j < 3; j++) {
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c[i][j] = (data[i][j] - b[i][j] + mod) % mod;
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}
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}
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return c;
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}
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} base, ans;
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Matrix binpow(Matrix a, long long k) {
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Matrix res;
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res[1][1] = 1;
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res[2][2] = 1;
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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, k;
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> t;
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while (t--) {
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cin >> n >> k;
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Matrix tmp;
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tmp[1][1] = 0, tmp[1][2] = 1;
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tmp[2][1] = 1, tmp[2][2] = 1;
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cout << binpow(binpow(tmp, n + 1) - tmp, k)[2][2] << endl;
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}
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return 0;
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}
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