题意:
求斐波那契数列,直接矩阵快速幂。
#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cmath>
#include<queue>
#include<cstring>
using namespace std;
struct node{
int m[2][2];
}ans,base;
node cmp(node a, node b){
node te;
for(int i = 0; i < 2; i++)
for(int j = 0; j < 2; j++){
te.m[i][j]=0;
for(int k = 0; k< 2; k++){
te.m[i][j] += a.m[i][k] * b.m[k][j];
te.m[i][j] %= 10000;
}
}
return te;
}
int powermod(int n){
base.m[0][0] = base.m[0][1] = base.m[1][0] = 1;
base.m[1][1] = 0;
ans.m[0][0] = ans.m[1][1] = 1;// ans 初始化为单位矩阵
ans.m[0][1] = ans.m[1][0] = 0;
while(n){
if(n&1) ans = cmp(ans, base);
n=n/2;
base=cmp(base, base);
}
return ans.m[0][1];
}
int main(){
int n;
while(scanf("%d",&n)&&n != -1){
printf("%d\n",powermod(n));
}
return 0;
}
\
\