#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
using namespace std;
#define F first
#define S second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define SZ(x) (int)(x).size()
#define int ll
const int N = 1e5 + 10;
const int MOD = 1e9 + 7;
void add(int &a, int b) {
a += b;
if (a >= MOD) {
a -= MOD;
}
}
int mult(int a, int b) {
return (a * 1ll * b) % MOD;
}
int b_pow(int a, int b) {
if (!b) {
return 1;
}
if (b & 1) {
return mult(a, b_pow(a, b - 1));
}
return b_pow(mult(a, a), b >> 1);
}
int f[N], rf[N];
int C(int n, int k) {
if (k < 0 || k > n) {
return 0;
}
return mult(f[n], mult(rf[k], rf[n - k]));
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
m = n - m;
f[0] = rf[0] = 1;
for (int i = 1; i <= n + 1; i++) {
f[i] = mult(f[i - 1], i);
rf[i] = b_pow(f[i], MOD - 2);
}
int ans = 0;
for (int k = 0; k <= m; k++) {
int vl = mult(C(n + 1, k), b_pow(m + 1 - k, n));
if (k & 1) {
vl = MOD - vl;
}
add(ans, vl);
}
cout << ans << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
4 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
4 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
6 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
4 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
6 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
392 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
6 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
4 ms |
384 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
6 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
392 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
6 ms |
384 KB |
Output is correct |
31 |
Correct |
35 ms |
1920 KB |
Output is correct |
32 |
Correct |
36 ms |
1920 KB |
Output is correct |
33 |
Correct |
35 ms |
1920 KB |
Output is correct |
34 |
Correct |
37 ms |
1912 KB |
Output is correct |
35 |
Correct |
29 ms |
1912 KB |
Output is correct |
36 |
Correct |
26 ms |
1912 KB |
Output is correct |
37 |
Correct |
26 ms |
1920 KB |
Output is correct |
38 |
Correct |
9 ms |
544 KB |
Output is correct |
39 |
Correct |
25 ms |
1536 KB |
Output is correct |
40 |
Correct |
34 ms |
1976 KB |
Output is correct |