98 lines
2.5 KiB
C++
98 lines
2.5 KiB
C++
#include<cstdio>
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#include<cstring>
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#include<algorithm>
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#include<vector>
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#include<string>
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#include<iostream>
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#include<queue>
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#include<stack>
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#include<cmath>
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using namespace std;
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typedef long long ll;
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const int maxn=1005;
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const int mod=1000000007;
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int a[maxn],n;
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bool vis[maxn];
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ll c[maxn][maxn],b[maxn][maxn];
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ll f[maxn][maxn];
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void init()
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{
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for(int i=0; i<maxn; i++)c[i][0]=c[i][i]=1;
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for(int i=1; i<maxn; i++)
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for(int j=1; j<i; j++)
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{
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c[i][j]=c[i-1][j-1]+c[i-1][j];
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if(c[i][j]>=mod)c[i][j]-=mod;
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}
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for(int i=0; i<maxn; i++)b[i][0]=1;
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for(int i=1; i<maxn; i++)
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for(int j=1; j<=i; j++)
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{
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b[i][j]=b[i][j-1]*(i-j+1)%mod;
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}
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}
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void pd(ll&ret,ll val)
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{
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ret+=val;
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if(ret>=mod)ret-=mod;
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}
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int main()
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{
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init();
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int ncase=0;
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while(scanf("%d",&n)&&n)
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{
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memset(vis,0,sizeof(vis));
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bool sign=0;
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int cc=0;
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for(int i=1; i<=n; i++)
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{
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scanf("%d",&a[i]);
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if(a[i])cc++;
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for(int j=1; j<=a[i]; j++)
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{
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int x;
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scanf("%d",&x);
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if(vis[x])sign=1;
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vis[x]=1;
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}
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}
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if(sign||(n==1&&cc)||(n>1&&cc<2))printf("Case #%d: 0\n",++ncase);
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else
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{
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for(int i=0; i<=n; i++)
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for(int j=0; j<=i; j++)f[i][j]=0;
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int sum=0,sum2=0;
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f[0][0]=1;
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for(int i=0; i<n; i++)
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{
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for(int j=0; j<=i; j++)
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{
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if(f[i][j]==0LL)continue;
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if(a[i+1])
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{
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for(int k=0; k<=j; k++)
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{
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if(k>a[i+1])break;
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pd(f[i+1][j+1-k],f[i][j]*c[a[i+1]][k]%mod*b[j][k]%mod);
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pd(f[i+1][j-k],f[i][j]*c[a[i+1]][k]%mod*c[sum-(sum2-j)][1]%mod*b[j][k]%mod);
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}
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}
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else
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{
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for(int k=0; k<=j; k++)
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{
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if(k>a[i+1])break;
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pd(f[i+1][j-k],f[i][j]*c[a[i+1]][k]%mod*b[j][k]%mod);
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}
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}
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}
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sum+=a[i+1];
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if(a[i+1])sum2++;
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}
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printf("Case #%d: %I64d\n",++ncase,f[n][0]);
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}
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}
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return 0;
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}
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