#include<iostream>
#include<vector>
#include<map>
#include<set>
#include<cassert>
#include<cassert>
#include<unordered_map>
#include<unordered_set>
#include<functional>
#include<queue>
#include<stack>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<sstream>
#include<iomanip>
#include<cstdio>
#include<cstdlib>
#include<numeric>
#include<random>
#include<chrono>
#include<bitset>
using namespace std;
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define xx first
#define yy second
#define sz(x) (int)(x).size()
#define gc getchar
#define IO ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0)
#define mp make_pair
#ifndef ONLINE_JUDGE
# define LOG(x) (cerr << #x << " = " << (x) << endl)
#else
# define LOG(x) ((void)0)
#endif
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
const double PI=3.1415926535897932384626433832795;
const ll INF = 1LL<<62;
const ll MINF = -1LL<<62;
template<typename T> T getint() {
T val=0;
char c;
bool neg=false;
while((c=gc()) && !(c>='0' && c<='9')) {
neg|=c=='-';
}
do {
val=(val*10)+c-'0';
} while((c=gc()) && (c>='0' && c<='9'));
return val*(neg?-1:1);
}
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); uniform_int_distribution<int>(0, n-1)(rng)
const ll mod=1e9+7;
ll dp[351][351];
ll f[351];
ll inv[351];
ll fp(ll a, ll b) {
if(b==0) return 1;
ll fel=fp(a,b/2);
ll ans=fel*fel%mod;
if(b&1) ans=(ans*a)%mod;
return ans;
}
ll nc(ll a, ll b) {
return f[a]*inv[b]%mod*inv[a-b]%mod;
}
int main() {
IO;
f[0]=1;
for(int i=1;i<351;++i) f[i]=f[i-1]*i%mod;
for(int i=0;i<351;++i) inv[i]=fp(f[i],mod-2);
ll n;
cin>>n;
dp[0][n]=1;
for(int i=1;i<=n;++i) {
for(int j=0;j<=n;++j) {
for(int k=0;k<=j;++k) {
if(k==i) continue ;
dp[i][j-k]+=dp[i-1][j]*nc(j,k);
dp[i][j-k]%=mod;
}
}
}
ll res=(fp(n,n)-dp[n][0])%mod;
if(res<0) res+=mod;
cout<<res<<"\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
6 ms |
376 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
376 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
6 ms |
376 KB |
Output is correct |
16 |
Correct |
5 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
6 ms |
376 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
376 KB |
Output is correct |
12 |
Correct |
5 ms |
376 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
376 KB |
Output is correct |
15 |
Correct |
6 ms |
376 KB |
Output is correct |
16 |
Correct |
5 ms |
376 KB |
Output is correct |
17 |
Correct |
80 ms |
1144 KB |
Output is correct |
18 |
Correct |
6 ms |
504 KB |
Output is correct |
19 |
Correct |
21 ms |
760 KB |
Output is correct |
20 |
Correct |
5 ms |
376 KB |
Output is correct |
21 |
Correct |
105 ms |
1144 KB |
Output is correct |
22 |
Correct |
16 ms |
764 KB |
Output is correct |
23 |
Correct |
6 ms |
504 KB |
Output is correct |
24 |
Correct |
26 ms |
888 KB |
Output is correct |
25 |
Correct |
19 ms |
760 KB |
Output is correct |
26 |
Correct |
32 ms |
888 KB |
Output is correct |
27 |
Correct |
147 ms |
1400 KB |
Output is correct |
28 |
Correct |
147 ms |
1300 KB |
Output is correct |
29 |
Correct |
148 ms |
1316 KB |
Output is correct |
30 |
Correct |
153 ms |
1272 KB |
Output is correct |
31 |
Correct |
150 ms |
1400 KB |
Output is correct |
32 |
Correct |
157 ms |
1276 KB |
Output is correct |
33 |
Correct |
157 ms |
1300 KB |
Output is correct |
34 |
Correct |
150 ms |
1272 KB |
Output is correct |
35 |
Correct |
170 ms |
1332 KB |
Output is correct |
36 |
Correct |
158 ms |
1276 KB |
Output is correct |
37 |
Correct |
157 ms |
1272 KB |
Output is correct |