Submission #797845

# Submission time Handle Problem Language Result Execution time Memory
797845 2023-07-30T02:11:23 Z vjudge1 Asceticism (JOI18_asceticism) C++17
100 / 100
10 ms 3460 KB
#include<bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,abm,bmi2")
#define pii pair<int, int>
#define fi first
#define se second
#define pb push_back
#define int long long
//#define ld long double
using namespace std;
using ll=long long;
const int inf = 2e18;
const int MN = 2e5+5;
const int mod=1e9+7;
int n,k;
int binpow(int x, int y) {
	int res=1;
	while(y) {
		if(y&1) res=res*x%mod;
		x=x*x%mod;
		y>>=1;
	}
	return res;
}
int fact[MN],invfact[MN];
void preprocess() {
	fact[0]=invfact[0]=1;
	for (int i=1; i<MN; i++) {
		fact[i]=fact[i-1]*i%mod;
	}
	invfact[MN-1]=binpow(fact[MN-1],mod-2);
	for (int i=MN-2; i>=1; i--) {
		invfact[i]=invfact[i+1]*(i+1)%mod;
	}
}
int C(int n, int k) {
	return fact[n]*invfact[k]%mod*invfact[n-k]%mod;
}
inline void solve() {
	cin>>n>>k;
	int ans=0;
	for (int i=0; i<=k; i++) {
		int cur=C(n+1,i)*binpow(k-i,n)%mod;
		if(i&1) ans=(ans+mod-cur)%mod;
		else ans=(ans+cur)%mod;
	}
	cout<<ans;
}	
signed main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int t=1;
	preprocess();
//	cin>>t;
	while(t--) {
		solve();
	}	
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3412 KB Output is correct
2 Correct 4 ms 3452 KB Output is correct
3 Correct 3 ms 3412 KB Output is correct
4 Correct 3 ms 3452 KB Output is correct
5 Correct 3 ms 3412 KB Output is correct
6 Correct 3 ms 3412 KB Output is correct
7 Correct 3 ms 3448 KB Output is correct
8 Correct 3 ms 3412 KB Output is correct
9 Correct 3 ms 3460 KB Output is correct
10 Correct 3 ms 3412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3412 KB Output is correct
2 Correct 4 ms 3452 KB Output is correct
3 Correct 3 ms 3412 KB Output is correct
4 Correct 3 ms 3452 KB Output is correct
5 Correct 3 ms 3412 KB Output is correct
6 Correct 3 ms 3412 KB Output is correct
7 Correct 3 ms 3448 KB Output is correct
8 Correct 3 ms 3412 KB Output is correct
9 Correct 3 ms 3460 KB Output is correct
10 Correct 3 ms 3412 KB Output is correct
11 Correct 3 ms 3412 KB Output is correct
12 Correct 3 ms 3412 KB Output is correct
13 Correct 3 ms 3412 KB Output is correct
14 Correct 3 ms 3452 KB Output is correct
15 Correct 3 ms 3412 KB Output is correct
16 Correct 3 ms 3412 KB Output is correct
17 Correct 3 ms 3412 KB Output is correct
18 Correct 3 ms 3412 KB Output is correct
19 Correct 3 ms 3452 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3412 KB Output is correct
2 Correct 4 ms 3452 KB Output is correct
3 Correct 3 ms 3412 KB Output is correct
4 Correct 3 ms 3452 KB Output is correct
5 Correct 3 ms 3412 KB Output is correct
6 Correct 3 ms 3412 KB Output is correct
7 Correct 3 ms 3448 KB Output is correct
8 Correct 3 ms 3412 KB Output is correct
9 Correct 3 ms 3460 KB Output is correct
10 Correct 3 ms 3412 KB Output is correct
11 Correct 3 ms 3412 KB Output is correct
12 Correct 3 ms 3412 KB Output is correct
13 Correct 3 ms 3412 KB Output is correct
14 Correct 3 ms 3452 KB Output is correct
15 Correct 3 ms 3412 KB Output is correct
16 Correct 3 ms 3412 KB Output is correct
17 Correct 3 ms 3412 KB Output is correct
18 Correct 3 ms 3412 KB Output is correct
19 Correct 3 ms 3452 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
21 Correct 3 ms 3412 KB Output is correct
22 Correct 3 ms 3412 KB Output is correct
23 Correct 3 ms 3412 KB Output is correct
24 Correct 3 ms 3412 KB Output is correct
25 Correct 3 ms 3412 KB Output is correct
26 Correct 3 ms 3412 KB Output is correct
27 Correct 3 ms 3452 KB Output is correct
28 Correct 3 ms 3412 KB Output is correct
29 Correct 3 ms 3412 KB Output is correct
30 Correct 3 ms 3448 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3412 KB Output is correct
2 Correct 4 ms 3452 KB Output is correct
3 Correct 3 ms 3412 KB Output is correct
4 Correct 3 ms 3452 KB Output is correct
5 Correct 3 ms 3412 KB Output is correct
6 Correct 3 ms 3412 KB Output is correct
7 Correct 3 ms 3448 KB Output is correct
8 Correct 3 ms 3412 KB Output is correct
9 Correct 3 ms 3460 KB Output is correct
10 Correct 3 ms 3412 KB Output is correct
11 Correct 3 ms 3412 KB Output is correct
12 Correct 3 ms 3412 KB Output is correct
13 Correct 3 ms 3412 KB Output is correct
14 Correct 3 ms 3452 KB Output is correct
15 Correct 3 ms 3412 KB Output is correct
16 Correct 3 ms 3412 KB Output is correct
17 Correct 3 ms 3412 KB Output is correct
18 Correct 3 ms 3412 KB Output is correct
19 Correct 3 ms 3452 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
21 Correct 3 ms 3412 KB Output is correct
22 Correct 3 ms 3412 KB Output is correct
23 Correct 3 ms 3412 KB Output is correct
24 Correct 3 ms 3412 KB Output is correct
25 Correct 3 ms 3412 KB Output is correct
26 Correct 3 ms 3412 KB Output is correct
27 Correct 3 ms 3452 KB Output is correct
28 Correct 3 ms 3412 KB Output is correct
29 Correct 3 ms 3412 KB Output is correct
30 Correct 3 ms 3448 KB Output is correct
31 Correct 3 ms 3452 KB Output is correct
32 Correct 3 ms 3452 KB Output is correct
33 Correct 3 ms 3412 KB Output is correct
34 Correct 5 ms 3448 KB Output is correct
35 Correct 9 ms 3452 KB Output is correct
36 Correct 9 ms 3452 KB Output is correct
37 Correct 10 ms 3452 KB Output is correct
38 Correct 4 ms 3460 KB Output is correct
39 Correct 5 ms 3412 KB Output is correct
40 Correct 6 ms 3412 KB Output is correct