This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#ifdef N_N_C
#include "debug.h"
#else
#define cebug(...) "Arya"
#endif
#define int long long
const int N=400;
const int mod=1e9+7;
int n,dp[N][N][2],f[N],inv[N];
int powmod(int a, int k, int m){
int ans=1;
while(k){
if(k&1) ans=(ans*a)%m;
a=(a*a)%m;
k>>=1;
}
return ans;
}
int C(int n, int k){
if(n<k) return 0;
return f[n]*inv[k]%mod*inv[n-k]%mod;
}
int cal(int i, int task, bool ayase){
if(i==n+1) return ((!task)&(ayase));
if(dp[i][task][ayase]!=-1) return dp[i][task][ayase];
if(!task) return dp[i][task][ayase]=ayase;
if(ayase) return dp[i][task][ayase]=powmod(n-i+1,task,mod);
dp[i][task][ayase]=0;
for(int j=0; j<=task; j++) dp[i][task][ayase]=(dp[i][task][ayase]+((cal(i+1,task-j,j==i)*C(task,j))%mod))%mod;
return dp[i][task][ayase];
}
void sol(){
cin>>n;
if(n==1){
cout<<1;
return;
}
if(n==2){
cout<<3;
return;
}
f[0]=1;
for(int i=1; i<=350; i++) f[i]=(f[i-1]*i)%mod;
inv[0]=1;
for(int i=1; i<=350; i++) inv[i]=powmod(f[i],mod-2,mod);
memset(dp,-1,sizeof(dp));
cout<<cal(1,n,0);
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen(".inp", "r", stdin);
// freopen(".out", "w", stdout);
int tt=1;
//cin>>tt;
while(tt--){
sol();
}
cerr << "\nTime elapsed: " << 1000.0 * clock() / CLOCKS_PER_SEC << " ms.\n";
return 0;
}
/** /\_/\
* (= ._.)
* / >💖 \>💕
**/
Compilation message (stderr)
zapina.cpp:68:9: warning: "/*" within comment [-Wcomment]
68 | /** /\_/\
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