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>
#define base 31
#define fi first
#define endl "\n"
#define se second
#define NAME "FILE"
#define ll long long
#define int long long
#define mod 1000000007
#define pii pair<int,int>
#define bit(mask,i) (mask&(1<<i))
#define lcm(a,b) ((a*b)/__gcd(a,b))
#define turn_on(mask,i) (mask|(1<<i))
#define turn_off(mask,i) (mask^(1<<i))
template <class T1, class T2>
bool maximize(T1 &a, T2 b){if (a < b){a = b; return 1;} return 0;}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){if (a > b){a = b; return 1;} return 0;}
template <class T1, class T2>
void add(T1 &a, T2 b){a += b; if (a >= mod) a -= mod;}
template <class T1, class T2>
void sub(T1 &a, T2 b){a -= b; if (a < 0) a += mod;}
using namespace std;
int dp[360][360][2];
int C[360][360];
int POW[360],n;
int lt(int a,int k){
if(k==0)return 1;
if(k==1)return a;
int b=lt(a,k/2);
(b*=b)%=mod;
if(k&1)(b*=a)%=mod;
return b;
}
// (n!)/(k!(n-k)!)
int c(int n,int k){
if(k>n)return 0;
if(C[n][k]!=-1)return C[n][k];
int tmp=(POW[k]%mod*POW[n-k]%mod)%mod;
tmp=(POW[n]%mod*lt(tmp,mod-2)%mod+mod)%mod;
return C[n][k]=tmp;
}
int calc(int id,int job,bool is){
if(!id)return is && job==0;
if(dp[id][job][is]!=-1)return dp[id][job][is];
int res=0;
for(int i=0;i<=job;i++){
// cout<<job<<endl;
add(res,calc(id-1,job-i,(i==id)||is)*c(job,i)%mod);
}
return dp[id][job][is]=res;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
if (fopen(NAME".inp","r")){
freopen(NAME".inp","r",stdin);
freopen(NAME".out","w",stdout);
}
POW[0]=1;
for(int i=1;i<=350;i++)POW[i]=POW[i-1]*i%mod;
// for(int i=1;i<=350;i++)
// for(int j=1;j<=350;j++) C[i][j]=c(i,j)%mod;
memset(dp,-1,sizeof dp);
memset(C,-1,sizeof C);
cin>>n;
cout<<calc(n,n,0);
}
Compilation message (stderr)
zapina.cpp: In function 'int main()':
zapina.cpp:62:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
62 | freopen(NAME".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
zapina.cpp:63:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
63 | freopen(NAME".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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