hdoj 1575 Tr A 51nod oj 1113 矩阵快速幂【矩阵快速幂】

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传送门:1575


矩阵快速幂--与一般快速幂一样--


代码:

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;struct node{int n;long long shu[12][12];node operator * (node &b){node c;c.n=n;for (int i=1;i<=n;i++)for (int j=1;j<=n;j++){c.shu[i][j]=0;for (int k=1;k<=n;k++)c.shu[i][j]=(c.shu[i][j]+shu[i][k]*b.shu[k][j])%9973;}return c;}}a,b,c,ans;void slove(){int n,k;long long s=0;scanf("%d%d",&a.n,&k);for (int i=1;i<=a.n;i++)for (int j=1;j<=a.n;j++)scanf("%lld",&a.shu[i][j]);ans.n=a.n;for (int i=1;i<=a.n;i++)for (int j=1;j<=a.n;j++)ans.shu[i][j]=0;for (int i=1;i<=a.n;i++)ans.shu[i][i]=1;while (k){if (k%2)ans=ans*a;a=a*a;k/=2;}for (int i=1;i<=a.n;i++)s=(s+ans.shu[i][i])%9973;printf("%lld\n",s);}int main(){int t;scanf("%d",&t);while (t--)slove();return 0;}


传送门:1113

代码:

#include<cstdio>#include<cstring>#include<algorithm>using namespace std;long long mod=1000000007;struct node{int n;long long shu[120][120];node operator * (node &b){node c;c.n=n;for (int i=1;i<=n;i++)for (int j=1;j<=n;j++){c.shu[i][j]=0;for (int k=1;k<=n;k++)c.shu[i][j]=(c.shu[i][j]+shu[i][k]*b.shu[k][j])%mod;}return c;}}a,b,c,ans;void slove(){int n,k;long long s;scanf("%d%d",&a.n,&k);for (int i=1;i<=a.n;i++)for (int j=1;j<=a.n;j++)scanf("%lld",&a.shu[i][j]);ans.n=a.n;for (int i=1;i<=a.n;i++)for (int j=1;j<=a.n;j++)ans.shu[i][j]=0;for (int i=1;i<=a.n;i++)ans.shu[i][i]=1;while (k){if (k%2)ans=ans*a;a=a*a;k/=2;}for (int i=1;i<=a.n;i++){for (int j=1;j<a.n;j++)printf("%lld ",ans.shu[i][j]);printf("%lld\n",ans.shu[i][a.n]);}}int main(){slove();return 0;}



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