제출 #696515

#제출 시각아이디문제언어결과실행 시간메모리
696515lucri유적 3 (JOI20_ruins3)C++17
0 / 100
6056 ms364 KiB
#include <bits/stdc++.h> #define MOD 1000000007 using namespace std; long long putere(long long a,long long b) { if(b==0) return 1; long long p=putere(a,b/2); p*=p; p%=MOD; if(b%2) { p*=a; p%=MOD; } return p; } long long fact[610],comb[610][610]; void factorial() { fact[0]=1; for(long long i=1;i<=600;++i) fact[i]=fact[i-1]*i%MOD; } long long combinari(long long n,long long m) { long long ans=1; ans=fact[n]; ans*=putere(fact[m],MOD-2); ans%=MOD; ans*=putere(fact[n-m],MOD-2); ans%=MOD; return ans; } long long n,v[610]; long long raspunde(long long step,long long nrstack,long long ppoz,bool exista) { if(step==n) return 1; long long ans=0; long long ramas=n-step-nrstack; long long posibileInceput=v[ppoz]-1-(2*step-step+ppoz-1-nrstack); if(exista==false) { if(ramas>=3) ans=(ans+comb[ramas-1][2]*raspunde(step+1,nrstack+1,ppoz,false))%MOD; if(ramas>=2) ans=(ans+(ramas-1)*raspunde(step+1,nrstack+1,ppoz,true))%MOD; if(posibileInceput>=2&&nrstack>=1) ans=(ans+comb[posibileInceput][2]*raspunde(step+1,nrstack-1,ppoz,false))%MOD; if(posibileInceput&&nrstack>=1&&ramas>=1) { if(ramas-1) ans=(ans+posibileInceput*(ramas-1)%MOD*raspunde(step+1,nrstack,ppoz,false))%MOD; ans=(ans+posibileInceput*raspunde(step+1,nrstack,ppoz,true))%MOD; } else if(posibileInceput&&ramas>=1) { if(step==n-1) return 1; if(ramas-1) ans=(ans+posibileInceput*(ramas-1)%MOD*raspunde(step+1,nrstack,ppoz,false))%MOD; long long q=putere(comb[n-ppoz][step+1-ppoz],MOD-2); for(int newppoz=ppoz+1;newppoz<=step+2;++newppoz) ans=(ans+comb[n-newppoz][step+2-newppoz]*q%MOD*posibileInceput%MOD*raspunde(step+1,nrstack,newppoz,false))%MOD; } } else { if(ramas>=2) ans=(ans+comb[ramas][2]*raspunde(step+1,nrstack+1,ppoz,true))%MOD; if(posibileInceput>=2) { if(nrstack>=2) ans=(ans+comb[posibileInceput][2]*raspunde(step+1,nrstack-1,ppoz,true))%MOD; else { if(step==n-1) return 1; long long q=putere(comb[n-ppoz][step+1-ppoz],MOD-2); for(int newppoz=ppoz+1;newppoz<=step+2;++newppoz) ans=(ans+comb[n-newppoz][step+2-newppoz]*q%MOD*comb[posibileInceput][2]%MOD*raspunde(step+1,nrstack-1,newppoz,false))%MOD; } } if(posibileInceput&&ramas>=1) ans=(ans+posibileInceput*ramas%MOD*raspunde(step+1,nrstack,ppoz,true))%MOD; } return ans; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); factorial(); cin>>n; for(int i=1;i<=n;++i) cin>>v[i]; for(int i=0;i<=n;++i) for(int j=0;j<=i;++j) comb[i][j]=combinari(i,j); cout<<raspunde(0,0,1,false); return 0; }
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