矩阵快速幂+取模运算模板

#include
#include
#include
#include
#include
#include
#include
using namespace std;
typedef long long ll;
const int mod = 9973;
const int maxn = 2000;
//矩阵快速幂:
int n;
ll k;
struct Node {
	int a[13][13];
}m;
void muti(Node x, Node y,Node &z) {//引用是为了保证值最后传回给 A.a
	memset(z.a, 0, sizeof(z.a));
	
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			for (int k = 1; k <= n; k++) {
				z.a[i][j]+= (x.a[i][k] * y.a[k][j])%mod;
				z.a[i][j] %= mod;
			}
		}
	}
}
void quickpow(Node &x, ll k) {
	Node ans=x, base = x;
	while (k) {
		if (k & 1 == 1)
			muti(ans, base, ans);
		muti(base, base, base);
		k >>= 1;
	}
	x = ans;
}
int main()
{
	int t;
	cin >> t;
	while (t--) {
		cin >> n >> k;
		for (int i = 1; i <= n; i++)//初始化
			for (int j = 1; j <= n; j++)
				cin >> m.a[i][j];

		Node A = m;
		quickpow(A, k - 1);//把矩阵和幂扔进去,要不然会多算一次
		m = A;

		ll tr = 0;
		for (int i = 1; i <=n; i++)
			tr += m.a[i][i];
		cout << tr%mod << endl;
	}
	return 0;
}

 

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