[Lydsy2017省队十连测]最长路径

Posted 2020-11-10 殇雪

SOL:

 同JZOJ5061

#include<bits/stdc++.h>
#define LL long long
#define N 3007
using namespace std;
LL n,mo,c[N][N],f[N],g[N],anw[N];
inline LL qsm(LL x,LL y) {
    static LL anw;
    for (anw=1;y;y=y>>1,x=x*x%mo) if (y&1) anw=anw*x%mo;
    return anw;
}
signed main () {
    scanf("%lld%lld",&n,&mo);
    c[0][0]=1;
    for (int i=1;i<=n;i++) {
        c[i][0]=c[i][i]=1;
        for (int j=1;j<i;j++) c[i][j]=(c[i-1][j-1]+c[i-1][j])%mo;
    }
//   for (int i=1;i<=n;i++) {
//      for (int j=0;j<=i;j++) cerr<<c[i][j]<<" ";
//      puts("");
//  }
    for (int i=0;i<=n;i++) f[i]=qsm(2,i*(i-1)/2);
//  for (int i=0;i<=n;i++) cerr<<f[i]<<‘ ‘; puts("");
    g[1]=1;
    for (int i=2;i<=n;i++) {
        g[i]=f[i];
        for (int j=1;j<i;j++) g[i]-=c[i][j]*g[j]%mo*f[i-j]%mo,g[i]=(g[i]%mo+mo)%mo;
    }
//  for (int i=0;i<=n;i++) cerr<<g[i]<<‘ ‘;
    for (int i=1;i<=n;i++)
     for (int j=0;i+j<=n;j++)
      anw[i+j]+=f[n-i-j]*f[j]%mo*c[n-1][i-1]%mo*c[n-i][j]%mo*g[i]%mo
      ,anw[i+j]%=mo;
    for (int i=1;i<=n;i++) printf("%lld\n",anw[i]);
}