Submission #930946

# Submission time Handle Problem Language Result Execution time Memory
930946 2024-02-20T21:18:02 Z manizare Asceticism (JOI18_asceticism) C++14
100 / 100
14 ms 3676 KB
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second 
#define ld long double
#define all(a) a.begin(),a.end()
#define pii pair <int,int>
#define int long long 
#define PII pair<pii , pii>
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= (b);i++)
#define per(i , a , b) for(int i=a;i >= (b);i--)
#define deb(x) cout <<#x << " : " << x << "\n" ;
using namespace std ;
const int maxn = 2e5 + 10 , mod = 1e9 + 7 , b = 56 , maxp = 15e5 + 10, inf=  1e9+10  , lg = 20;
int f[maxn] , inv[maxn] ;

int po(int a, int b){
    if(b==0)return 1;
    int v = po(a,b/2) ;
    v= v*v %mod ;
    if(b&1) v= v*a % mod ;
    return v ;
}
int c(int n , int k){
    if(k < 0 || n < k)return 0 ;
    return f[n]*inv[k]%mod*inv[n-k]%mod; 
}

signed main() {
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    f[0] =1 ;
    rep(i , 1 , maxn-1)f[i] =f[i-1] * i % mod ;
    inv[maxn-1] = po(f[maxn-1] , mod-2) ;
    per(i , maxn-2 , 0){
        inv[i] = inv[i+1] * (i+1) % mod ;
    }
    int n , k ;
    cin >> n >> k ;
    int ans =0 ;
    per(i , k , 1){
        int x = po(i , n) * c(n+1 , k-i) %mod;
        if((i-k)%2==0){
            ans = (ans + x)%mod ;
        }else{
            ans = (ans - x + mod)%mod ;
        }
    }
    cout << ans << '\n' ;
}
/*

*/
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3420 KB Output is correct
2 Correct 3 ms 3420 KB Output is correct
3 Correct 3 ms 3420 KB Output is correct
4 Correct 3 ms 3416 KB Output is correct
5 Correct 3 ms 3420 KB Output is correct
6 Correct 3 ms 3400 KB Output is correct
7 Correct 3 ms 3420 KB Output is correct
8 Correct 3 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 3 ms 3420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3420 KB Output is correct
2 Correct 3 ms 3420 KB Output is correct
3 Correct 3 ms 3420 KB Output is correct
4 Correct 3 ms 3416 KB Output is correct
5 Correct 3 ms 3420 KB Output is correct
6 Correct 3 ms 3400 KB Output is correct
7 Correct 3 ms 3420 KB Output is correct
8 Correct 3 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 3 ms 3420 KB Output is correct
11 Correct 3 ms 3420 KB Output is correct
12 Correct 3 ms 3420 KB Output is correct
13 Correct 3 ms 3584 KB Output is correct
14 Correct 3 ms 3420 KB Output is correct
15 Correct 3 ms 3416 KB Output is correct
16 Correct 3 ms 3420 KB Output is correct
17 Correct 3 ms 3420 KB Output is correct
18 Correct 3 ms 3420 KB Output is correct
19 Correct 3 ms 3420 KB Output is correct
20 Correct 3 ms 3420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3420 KB Output is correct
2 Correct 3 ms 3420 KB Output is correct
3 Correct 3 ms 3420 KB Output is correct
4 Correct 3 ms 3416 KB Output is correct
5 Correct 3 ms 3420 KB Output is correct
6 Correct 3 ms 3400 KB Output is correct
7 Correct 3 ms 3420 KB Output is correct
8 Correct 3 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 3 ms 3420 KB Output is correct
11 Correct 3 ms 3420 KB Output is correct
12 Correct 3 ms 3420 KB Output is correct
13 Correct 3 ms 3584 KB Output is correct
14 Correct 3 ms 3420 KB Output is correct
15 Correct 3 ms 3416 KB Output is correct
16 Correct 3 ms 3420 KB Output is correct
17 Correct 3 ms 3420 KB Output is correct
18 Correct 3 ms 3420 KB Output is correct
19 Correct 3 ms 3420 KB Output is correct
20 Correct 3 ms 3420 KB Output is correct
21 Correct 3 ms 3420 KB Output is correct
22 Correct 3 ms 3420 KB Output is correct
23 Correct 3 ms 3420 KB Output is correct
24 Correct 3 ms 3420 KB Output is correct
25 Correct 3 ms 3420 KB Output is correct
26 Correct 3 ms 3592 KB Output is correct
27 Correct 3 ms 3420 KB Output is correct
28 Correct 3 ms 3420 KB Output is correct
29 Correct 3 ms 3420 KB Output is correct
30 Correct 3 ms 3420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3420 KB Output is correct
2 Correct 3 ms 3420 KB Output is correct
3 Correct 3 ms 3420 KB Output is correct
4 Correct 3 ms 3416 KB Output is correct
5 Correct 3 ms 3420 KB Output is correct
6 Correct 3 ms 3400 KB Output is correct
7 Correct 3 ms 3420 KB Output is correct
8 Correct 3 ms 3420 KB Output is correct
9 Correct 3 ms 3420 KB Output is correct
10 Correct 3 ms 3420 KB Output is correct
11 Correct 3 ms 3420 KB Output is correct
12 Correct 3 ms 3420 KB Output is correct
13 Correct 3 ms 3584 KB Output is correct
14 Correct 3 ms 3420 KB Output is correct
15 Correct 3 ms 3416 KB Output is correct
16 Correct 3 ms 3420 KB Output is correct
17 Correct 3 ms 3420 KB Output is correct
18 Correct 3 ms 3420 KB Output is correct
19 Correct 3 ms 3420 KB Output is correct
20 Correct 3 ms 3420 KB Output is correct
21 Correct 3 ms 3420 KB Output is correct
22 Correct 3 ms 3420 KB Output is correct
23 Correct 3 ms 3420 KB Output is correct
24 Correct 3 ms 3420 KB Output is correct
25 Correct 3 ms 3420 KB Output is correct
26 Correct 3 ms 3592 KB Output is correct
27 Correct 3 ms 3420 KB Output is correct
28 Correct 3 ms 3420 KB Output is correct
29 Correct 3 ms 3420 KB Output is correct
30 Correct 3 ms 3420 KB Output is correct
31 Correct 3 ms 3420 KB Output is correct
32 Correct 3 ms 3420 KB Output is correct
33 Correct 3 ms 3420 KB Output is correct
34 Correct 4 ms 3420 KB Output is correct
35 Correct 12 ms 3584 KB Output is correct
36 Correct 12 ms 3584 KB Output is correct
37 Correct 14 ms 3676 KB Output is correct
38 Correct 4 ms 3420 KB Output is correct
39 Correct 6 ms 3420 KB Output is correct
40 Correct 7 ms 3420 KB Output is correct