#include <bits/stdc++.h>
#pragma GCC optimize ("O2,unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, ll> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) {cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;}
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;
const int inf=1000000010;
const ll INF=10000000000000010LL;
const int mod=1000000007;
const int MAXN=100010;
ll n, m, k, u, v, x, y, t, a, b, ans;
ll F[MAXN], I[MAXN];
ll powmod(ll a, ll b){
ll res=1;
for (; b; b>>=1, a=a*a%mod) if (b&1) res=res*a%mod;
return res;
}
ll nCr(ll n, ll r){
if (r<0 || r>n) return 0;
return F[n]*I[r]%mod*I[n-r]%mod;
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
F[0]=1;
for (int i=1; i<MAXN; i++) F[i]=F[i-1]*i%mod;
I[MAXN-1]=powmod(F[MAXN-1], mod-2);
for (int i=MAXN-1; i; i--) I[i-1]=I[i]*i%mod;
cin>>n>>k;
for (int i=0; i<=k; i++){
for (int j=0; j<=k-i; j++){
ll res=nCr(n-k+i, i)*powmod(k-i-j, n)%mod*nCr(k-i, j)%mod;
if ((i+j)&1) res*=-1;
ans=(ans + res)%mod;
}
}
debug(ans)
if (ans<0) ans+=mod;
cout<<ans<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1900 KB |
Output is correct |
2 |
Correct |
2 ms |
1900 KB |
Output is correct |
3 |
Correct |
2 ms |
1900 KB |
Output is correct |
4 |
Correct |
2 ms |
1900 KB |
Output is correct |
5 |
Correct |
2 ms |
1904 KB |
Output is correct |
6 |
Correct |
2 ms |
1900 KB |
Output is correct |
7 |
Correct |
2 ms |
1900 KB |
Output is correct |
8 |
Correct |
3 ms |
1920 KB |
Output is correct |
9 |
Correct |
2 ms |
1920 KB |
Output is correct |
10 |
Correct |
2 ms |
1920 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1900 KB |
Output is correct |
2 |
Correct |
2 ms |
1900 KB |
Output is correct |
3 |
Correct |
2 ms |
1900 KB |
Output is correct |
4 |
Correct |
2 ms |
1900 KB |
Output is correct |
5 |
Correct |
2 ms |
1904 KB |
Output is correct |
6 |
Correct |
2 ms |
1900 KB |
Output is correct |
7 |
Correct |
2 ms |
1900 KB |
Output is correct |
8 |
Correct |
3 ms |
1920 KB |
Output is correct |
9 |
Correct |
2 ms |
1920 KB |
Output is correct |
10 |
Correct |
2 ms |
1920 KB |
Output is correct |
11 |
Correct |
2 ms |
2028 KB |
Output is correct |
12 |
Correct |
2 ms |
1900 KB |
Output is correct |
13 |
Correct |
2 ms |
1900 KB |
Output is correct |
14 |
Correct |
3 ms |
1900 KB |
Output is correct |
15 |
Correct |
5 ms |
1900 KB |
Output is correct |
16 |
Correct |
5 ms |
1900 KB |
Output is correct |
17 |
Correct |
2 ms |
1900 KB |
Output is correct |
18 |
Correct |
3 ms |
1900 KB |
Output is correct |
19 |
Correct |
3 ms |
1920 KB |
Output is correct |
20 |
Correct |
2 ms |
1900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1900 KB |
Output is correct |
2 |
Correct |
2 ms |
1900 KB |
Output is correct |
3 |
Correct |
2 ms |
1900 KB |
Output is correct |
4 |
Correct |
2 ms |
1900 KB |
Output is correct |
5 |
Correct |
2 ms |
1904 KB |
Output is correct |
6 |
Correct |
2 ms |
1900 KB |
Output is correct |
7 |
Correct |
2 ms |
1900 KB |
Output is correct |
8 |
Correct |
3 ms |
1920 KB |
Output is correct |
9 |
Correct |
2 ms |
1920 KB |
Output is correct |
10 |
Correct |
2 ms |
1920 KB |
Output is correct |
11 |
Correct |
2 ms |
2028 KB |
Output is correct |
12 |
Correct |
2 ms |
1900 KB |
Output is correct |
13 |
Correct |
2 ms |
1900 KB |
Output is correct |
14 |
Correct |
3 ms |
1900 KB |
Output is correct |
15 |
Correct |
5 ms |
1900 KB |
Output is correct |
16 |
Correct |
5 ms |
1900 KB |
Output is correct |
17 |
Correct |
2 ms |
1900 KB |
Output is correct |
18 |
Correct |
3 ms |
1900 KB |
Output is correct |
19 |
Correct |
3 ms |
1920 KB |
Output is correct |
20 |
Correct |
2 ms |
1900 KB |
Output is correct |
21 |
Correct |
2 ms |
1900 KB |
Output is correct |
22 |
Correct |
3 ms |
1900 KB |
Output is correct |
23 |
Correct |
9 ms |
1900 KB |
Output is correct |
24 |
Correct |
10 ms |
1900 KB |
Output is correct |
25 |
Correct |
33 ms |
2048 KB |
Output is correct |
26 |
Correct |
33 ms |
1900 KB |
Output is correct |
27 |
Correct |
33 ms |
1900 KB |
Output is correct |
28 |
Correct |
11 ms |
1900 KB |
Output is correct |
29 |
Correct |
3 ms |
1900 KB |
Output is correct |
30 |
Correct |
34 ms |
1900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1900 KB |
Output is correct |
2 |
Correct |
2 ms |
1900 KB |
Output is correct |
3 |
Correct |
2 ms |
1900 KB |
Output is correct |
4 |
Correct |
2 ms |
1900 KB |
Output is correct |
5 |
Correct |
2 ms |
1904 KB |
Output is correct |
6 |
Correct |
2 ms |
1900 KB |
Output is correct |
7 |
Correct |
2 ms |
1900 KB |
Output is correct |
8 |
Correct |
3 ms |
1920 KB |
Output is correct |
9 |
Correct |
2 ms |
1920 KB |
Output is correct |
10 |
Correct |
2 ms |
1920 KB |
Output is correct |
11 |
Correct |
2 ms |
2028 KB |
Output is correct |
12 |
Correct |
2 ms |
1900 KB |
Output is correct |
13 |
Correct |
2 ms |
1900 KB |
Output is correct |
14 |
Correct |
3 ms |
1900 KB |
Output is correct |
15 |
Correct |
5 ms |
1900 KB |
Output is correct |
16 |
Correct |
5 ms |
1900 KB |
Output is correct |
17 |
Correct |
2 ms |
1900 KB |
Output is correct |
18 |
Correct |
3 ms |
1900 KB |
Output is correct |
19 |
Correct |
3 ms |
1920 KB |
Output is correct |
20 |
Correct |
2 ms |
1900 KB |
Output is correct |
21 |
Correct |
2 ms |
1900 KB |
Output is correct |
22 |
Correct |
3 ms |
1900 KB |
Output is correct |
23 |
Correct |
9 ms |
1900 KB |
Output is correct |
24 |
Correct |
10 ms |
1900 KB |
Output is correct |
25 |
Correct |
33 ms |
2048 KB |
Output is correct |
26 |
Correct |
33 ms |
1900 KB |
Output is correct |
27 |
Correct |
33 ms |
1900 KB |
Output is correct |
28 |
Correct |
11 ms |
1900 KB |
Output is correct |
29 |
Correct |
3 ms |
1900 KB |
Output is correct |
30 |
Correct |
34 ms |
1900 KB |
Output is correct |
31 |
Correct |
2 ms |
1900 KB |
Output is correct |
32 |
Correct |
2 ms |
1900 KB |
Output is correct |
33 |
Execution timed out |
971 ms |
1960 KB |
Time limit exceeded |
34 |
Halted |
0 ms |
0 KB |
- |