#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);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
128 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
128 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
4 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
256 KB |
Output is correct |
9 |
Correct |
5 ms |
256 KB |
Output is correct |
10 |
Correct |
5 ms |
256 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
256 KB |
Output is correct |
15 |
Correct |
5 ms |
256 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
128 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
4 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
256 KB |
Output is correct |
9 |
Correct |
5 ms |
256 KB |
Output is correct |
10 |
Correct |
5 ms |
256 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
256 KB |
Output is correct |
15 |
Correct |
5 ms |
256 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
99 ms |
1024 KB |
Output is correct |
18 |
Correct |
6 ms |
384 KB |
Output is correct |
19 |
Correct |
24 ms |
512 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
125 ms |
1152 KB |
Output is correct |
22 |
Correct |
19 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
384 KB |
Output is correct |
24 |
Correct |
30 ms |
640 KB |
Output is correct |
25 |
Correct |
22 ms |
512 KB |
Output is correct |
26 |
Correct |
40 ms |
640 KB |
Output is correct |
27 |
Correct |
179 ms |
1280 KB |
Output is correct |
28 |
Correct |
179 ms |
1400 KB |
Output is correct |
29 |
Correct |
186 ms |
1376 KB |
Output is correct |
30 |
Correct |
171 ms |
1280 KB |
Output is correct |
31 |
Correct |
184 ms |
1400 KB |
Output is correct |
32 |
Correct |
177 ms |
1280 KB |
Output is correct |
33 |
Correct |
192 ms |
1280 KB |
Output is correct |
34 |
Correct |
181 ms |
1280 KB |
Output is correct |
35 |
Correct |
193 ms |
1280 KB |
Output is correct |
36 |
Correct |
193 ms |
1280 KB |
Output is correct |
37 |
Correct |
191 ms |
1280 KB |
Output is correct |