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#1789. 【2017.3 长乐省选集训 Day15 T1】斐波那契

https://sjzezoj.com/submission/65549
This commit is contained in:
Baoshuo Ren 2022-12-08 15:37:46 +08:00
parent a97d1c11ac
commit 8006c15b15
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
22 changed files with 151 additions and 0 deletions

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#include <iostream>
#include <array>
#include <cstring>
#include <numeric>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1e5 + 5;
const int mod = 1e9 + 7;
class Matrix {
private:
long long data[10][10];
public:
Matrix() {
memset(data, 0x00, sizeof(data));
}
long long* operator[](long long i) {
return data[i];
}
Matrix operator*(Matrix b) const {
Matrix c;
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
for (int k = 0; k < 3; k++) {
c[i][j] = (c[i][j] + data[i][k] * b[k][j] % mod) % mod;
}
}
}
return c;
}
Matrix operator-(Matrix b) const {
Matrix c;
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
c[i][j] = (data[i][j] - b[i][j] + mod) % mod;
}
}
return c;
}
} base, ans;
Matrix binpow(Matrix a, long long k) {
Matrix res;
res[1][1] = 1;
res[2][2] = 1;
while (k) {
if (k & 1) res = res * a;
a = a * a;
k >>= 1;
}
return res;
}
int t, n, k;
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> t;
while (t--) {
cin >> n >> k;
Matrix tmp;
tmp[1][1] = 0, tmp[1][2] = 1;
tmp[2][1] = 1, tmp[2][2] = 1;
cout << binpow(binpow(tmp, n + 1) - tmp, k)[2][2] << endl;
}
return 0;
}

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