P3154 [CQOI2009]循环赛

传送门

双倍经验题->这里

//minamoto
#include<bits/stdc++.h>
#define ll unsigned long long
#define R register
#define fp(i,a,b) for(R int i=a,I=b+1;i<I;++i)
#define fd(i,a,b) for(R int i=a,I=b-1;i>I;--i)
using namespace std;
const ll Base=17,P=1e9+7;const int N=1005;
int n,m,a[N],b[N],s[N],su,sx,sy;map<ll,ll>h;
inline bool cmp(const R int &x,const R int &y){return x>y;}
ll dfs(int u,int v){
	ll res=0;if(u==n)return 1;if(a[u]+3*(n-v+1)<s[u])return 0;
	if(v>n){
		fp(i,u+1,n)b[i]=s[i]-a[i];sort(b+u+1,b+n+1);
		ll S=0;fp(i,u+1,n)S=S*Base+b[i];
		if(h.count(S))return h[S];
		return h[S]=dfs(u+1,u+2);
	}
	if(a[u]+3<=s[u]&&sx)a[u]+=3,--sx,res+=dfs(u,v+1),a[u]-=3,++sx;
	if(a[u]+1<=s[u]&&a[v]+1<=s[v]&&sy)++a[u],++a[v],--sy,res+=dfs(u,v+1),--a[u],--a[v],++sy;
	if(a[v]+3<=s[v]&&sx)a[v]+=3,--sx,res+=dfs(u,v+1),++sx,a[v]-=3;
	return res%P;
}
int main(){
//	freopen("testdata.in","r",stdin);
	scanf("%d",&n);fp(i,1,n)scanf("%d",&s[i]),su+=s[i];
	sx=su-n*n+n,sy=(su-3*sx)>>1;sort(s+1,s+1+n,cmp);
	printf("%lld\n",dfs(1,2)%P);return 0;
}