OJ-Problems-Source/HDOJ/1294_autoAC.cpp

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2016-08-13 17:16:08 +08:00
#include<iostream>
#include<cstdio>
#include<vector>
#include<queue>
#include<algorithm>
#include<cmath>
#include<string>
#include<cstring>
using namespace std;
typedef long long LL;
const double pi=acos(-1.0);
int n;
LL dp[40][40];
LL calc(LL n,int m)
{
LL ans=1;
LL tmp=n+m-1;
for(int i=1;i<=m;i++)
{
ans*=tmp;
ans/=i;
tmp--;
}
return ans;
}
LL dfs(int n,int mx)
{
if(n<mx) return 0;
if(n && !mx) return 0;
if(!n && mx) return 0;
if(!n) return 1;
LL &ans=dp[n][mx];
if(ans!=-1) return ans;
ans=0;
LL tmp=0;
for(int i=0;i<mx;i++)
{
tmp+=dfs(mx-1,i);
}
for(int i=1;i*mx<=n;i++)
{
LL ans1=calc(tmp,i);
LL ans2=0;
for(int j=mx-1;j>=0;j--)
{
ans2+=dfs(n-i*mx,j);
}
ans+=ans1*ans2;
}
return ans;
}
int main()
{
memset(dp,-1,sizeof dp);
while(scanf("%d",&n)==1)
{
LL ans=0;
for(int i=n-1;i>=0;i--)
{
ans+=dfs(n-1,i);
}
printf("%I64d\n",ans);
}
return 0;
}