1. 程式人生 > >BZOJ4887 Tjoi2017可樂(動態規劃+矩陣快速冪)

BZOJ4887 Tjoi2017可樂(動態規劃+矩陣快速冪)

  設f[i][j]為第i天到達j號城市的方案數,轉移顯然,答案即為每天在每個點的方案數之和。矩乘一發即可。

#include<iostream> 
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<algorithm>
using namespace std;
#define ll long long
#define N 33
#define M 110
#define P 2017
char getc(){char
c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;} int gcd(int n,int m){return m==0?n:gcd(m,n%m);} int read() { int x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='
9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } int n,m,k; struct matrix { int n,a[N][N]; matrix operator *(const matrix&b) const { matrix c;c.n=n;memset(c.a,0,sizeof(c.a)); for (int i=0;i<n;i++) for (int j=0;j<b.n;j++)
for (int k=0;k<b.n;k++) c.a[i][j]=(c.a[i][j]+a[i][k]*b.a[k][j])%P; return c; } }f,v; int main() { #ifndef ONLINE_JUDGE freopen("bzoj4887.in","r",stdin); freopen("bzoj4887.out","w",stdout); const char LL[]="%I64d\n"; #else const char LL[]="%lld\n"; #endif n=read(),m=read(); v.n=n+1; for (int i=1;i<=m;i++) { int x=read(),y=read(); v.a[x][y]=v.a[y][x]=1; } for (int i=0;i<=n;i++) v.a[i][i]=v.a[i][0]=1; k=read()+1; f.n=1;f.a[0][1]=1; for (;k;k>>=1,v=v*v) if (k&1) f=f*v; cout<<f.a[0][0]; return 0; }