제출 #230106

#제출 시각아이디문제언어결과실행 시간메모리
230106rrrr10000Zapina (COCI20_zapina)C++14
110 / 110
193 ms1400 KiB
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for(long long i=0;i<(long long)(n);i++) #define REP(i,k,n) for(long long i=k;i<(long long)(n);i++) #define all(a) a.begin(),a.end() #define pb emplace_back #define eb emplace_back #define lb(v,k) (lower_bound(all(v),k)-v.begin()) #define ub(v,k) (upper_bound(all(v),k)-v.begin()) #define fi first #define se second #define pi M_PI #define PQ(T) priority_queue<T> #define SPQ(T) priority_queue<T,vector<T>,greater<T>> #define dame(a) {out(a);return 0;} #define decimal cout<<fixed<<setprecision(15); #define dupli(a) a.erase(unique(all(a)),a.end()) typedef long long ll; typedef pair<ll,ll> P; typedef tuple<ll,ll,ll> PP; typedef tuple<ll,ll,ll,ll> PPP; typedef multiset<ll> S; using vi=vector<ll>; using vvi=vector<vi>; using vvvi=vector<vvi>; using vvvvi=vector<vvvi>; using vp=vector<P>; using vvp=vector<vp>; using vb=vector<bool>; using vvb=vector<vb>; const ll inf=1001001001001001001; const ll INF=1001001001; const ll mod=1000000007; const double eps=1e-10; template<class T> bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;} template<class T> bool chmax(T&a,T b){if(a<b){a=b;return true;}return false;} template<class T> void out(T a){cout<<a<<'\n';} template<class T> void outp(T a){cout<<'('<<a.fi<<','<<a.se<<')'<<'\n';} template<class T> void outvp(T v){rep(i,v.size())cout<<'('<<v[i].fi<<','<<v[i].se<<')';cout<<'\n';} template<class T> void outvvp(T v){rep(i,v.size())outvp(v[i]);} template<class T> void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';} template<class T> void outvv(T v){rep(i,v.size())outv(v[i]);} template<class T> bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);} template<class T> void yesno(T b){if(b)out("yes");else out("no");} template<class T> void YesNo(T b){if(b)out("Yes");else out("No");} template<class T> void YESNO(T b){if(b)out("YES");else out("NO");} template<class T> void noyes(T b){if(b)out("no");else out("yes");} template<class T> void NoYes(T b){if(b)out("No");else out("Yes");} template<class T> void NOYES(T b){if(b)out("NO");else out("YES");} void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);} ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);} ll modpow(ll a,ll b){a%=mod;if(b==0)return 1;if(b&1)return a*modpow(a,b-1)%mod;ll k=modpow(a,b/2);return k*k%mod;} vi fac,finv,inv; void init(ll n){ n*=3; fac=vi(n+5);finv=vi(n+5);inv=vi(n+5); fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; REP(i,2,n+5){ fac[i]=fac[i-1]*i%mod; inv[i]=mod-inv[mod%i]*(mod/i)%mod; finv[i]=finv[i-1]*inv[i]%mod; } } long long modcom(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } int main(){ ll n;cin>>n; init(n); vvi dp(n+1,vi(n+1)); dp[0][0]=1; REP(i,1,n+1){ rep(j,n+1){ rep(k,j+1)if(j-k!=i)dp[i][j]+=dp[i-1][k]*modcom(n-k,j-k)%mod; dp[i][j]%=mod; } } //outvv(dp); out((modpow(n,n)-dp[n][n]+mod)%mod); }
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