#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
long long mod = 1'000'000'007;
long long fact[100002];
long long pow(long long b, long long e)
{
if(e == 0) return 1;
if(e % 2) return (b * pow(b, e-1)) % mod;
else
{
long long temp = pow(b, e/2);
return (temp*temp) % mod;
}
}
long long choose(long long n, long long k)
{
return (((fact[n] * pow(fact[k], mod-2)) % mod) * pow(fact[n-k], mod-2)) % mod;
}
int main()
{
fact[0] = 1;
for(long long i = 1; i <= 100001; i++) fact[i] = (fact[i-1] * i) % mod;
long long N, K;
cin >> N >> K;
long long ans = 0;
for(long long i = 0; i <= K; i++)
{
// long long temp = (mod + (pow(-1, i) * ((choose(N-1, K) * pow(K-i, N)) % mod) ) ) % mod;
long long temp = choose(N+1, i) * pow(K-i, N);
temp = temp % mod;
// cout << choose(N+1, K) << ' ' << pow(K-i, N) << '\n';
// cout << temp << '\n';
if(i % 2 == 0) ans = (ans + temp) % mod;
else ans = (mod + ans - temp) % mod;
}
cout << ans << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1132 KB |
Output is correct |
2 |
Correct |
2 ms |
1280 KB |
Output is correct |
3 |
Correct |
3 ms |
1132 KB |
Output is correct |
4 |
Correct |
2 ms |
1132 KB |
Output is correct |
5 |
Correct |
2 ms |
1132 KB |
Output is correct |
6 |
Correct |
2 ms |
1132 KB |
Output is correct |
7 |
Correct |
2 ms |
1132 KB |
Output is correct |
8 |
Correct |
2 ms |
1132 KB |
Output is correct |
9 |
Correct |
2 ms |
1260 KB |
Output is correct |
10 |
Correct |
2 ms |
1132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1132 KB |
Output is correct |
2 |
Correct |
2 ms |
1280 KB |
Output is correct |
3 |
Correct |
3 ms |
1132 KB |
Output is correct |
4 |
Correct |
2 ms |
1132 KB |
Output is correct |
5 |
Correct |
2 ms |
1132 KB |
Output is correct |
6 |
Correct |
2 ms |
1132 KB |
Output is correct |
7 |
Correct |
2 ms |
1132 KB |
Output is correct |
8 |
Correct |
2 ms |
1132 KB |
Output is correct |
9 |
Correct |
2 ms |
1260 KB |
Output is correct |
10 |
Correct |
2 ms |
1132 KB |
Output is correct |
11 |
Correct |
2 ms |
1132 KB |
Output is correct |
12 |
Correct |
2 ms |
1132 KB |
Output is correct |
13 |
Correct |
2 ms |
1132 KB |
Output is correct |
14 |
Correct |
2 ms |
1132 KB |
Output is correct |
15 |
Correct |
2 ms |
1132 KB |
Output is correct |
16 |
Correct |
2 ms |
1132 KB |
Output is correct |
17 |
Correct |
2 ms |
1132 KB |
Output is correct |
18 |
Correct |
2 ms |
1132 KB |
Output is correct |
19 |
Correct |
2 ms |
1132 KB |
Output is correct |
20 |
Correct |
2 ms |
1132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1132 KB |
Output is correct |
2 |
Correct |
2 ms |
1280 KB |
Output is correct |
3 |
Correct |
3 ms |
1132 KB |
Output is correct |
4 |
Correct |
2 ms |
1132 KB |
Output is correct |
5 |
Correct |
2 ms |
1132 KB |
Output is correct |
6 |
Correct |
2 ms |
1132 KB |
Output is correct |
7 |
Correct |
2 ms |
1132 KB |
Output is correct |
8 |
Correct |
2 ms |
1132 KB |
Output is correct |
9 |
Correct |
2 ms |
1260 KB |
Output is correct |
10 |
Correct |
2 ms |
1132 KB |
Output is correct |
11 |
Correct |
2 ms |
1132 KB |
Output is correct |
12 |
Correct |
2 ms |
1132 KB |
Output is correct |
13 |
Correct |
2 ms |
1132 KB |
Output is correct |
14 |
Correct |
2 ms |
1132 KB |
Output is correct |
15 |
Correct |
2 ms |
1132 KB |
Output is correct |
16 |
Correct |
2 ms |
1132 KB |
Output is correct |
17 |
Correct |
2 ms |
1132 KB |
Output is correct |
18 |
Correct |
2 ms |
1132 KB |
Output is correct |
19 |
Correct |
2 ms |
1132 KB |
Output is correct |
20 |
Correct |
2 ms |
1132 KB |
Output is correct |
21 |
Correct |
2 ms |
1132 KB |
Output is correct |
22 |
Correct |
2 ms |
1132 KB |
Output is correct |
23 |
Correct |
3 ms |
1132 KB |
Output is correct |
24 |
Correct |
3 ms |
1132 KB |
Output is correct |
25 |
Correct |
3 ms |
1132 KB |
Output is correct |
26 |
Correct |
3 ms |
1132 KB |
Output is correct |
27 |
Correct |
3 ms |
1132 KB |
Output is correct |
28 |
Correct |
3 ms |
1132 KB |
Output is correct |
29 |
Correct |
2 ms |
1132 KB |
Output is correct |
30 |
Correct |
3 ms |
1132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1132 KB |
Output is correct |
2 |
Correct |
2 ms |
1280 KB |
Output is correct |
3 |
Correct |
3 ms |
1132 KB |
Output is correct |
4 |
Correct |
2 ms |
1132 KB |
Output is correct |
5 |
Correct |
2 ms |
1132 KB |
Output is correct |
6 |
Correct |
2 ms |
1132 KB |
Output is correct |
7 |
Correct |
2 ms |
1132 KB |
Output is correct |
8 |
Correct |
2 ms |
1132 KB |
Output is correct |
9 |
Correct |
2 ms |
1260 KB |
Output is correct |
10 |
Correct |
2 ms |
1132 KB |
Output is correct |
11 |
Correct |
2 ms |
1132 KB |
Output is correct |
12 |
Correct |
2 ms |
1132 KB |
Output is correct |
13 |
Correct |
2 ms |
1132 KB |
Output is correct |
14 |
Correct |
2 ms |
1132 KB |
Output is correct |
15 |
Correct |
2 ms |
1132 KB |
Output is correct |
16 |
Correct |
2 ms |
1132 KB |
Output is correct |
17 |
Correct |
2 ms |
1132 KB |
Output is correct |
18 |
Correct |
2 ms |
1132 KB |
Output is correct |
19 |
Correct |
2 ms |
1132 KB |
Output is correct |
20 |
Correct |
2 ms |
1132 KB |
Output is correct |
21 |
Correct |
2 ms |
1132 KB |
Output is correct |
22 |
Correct |
2 ms |
1132 KB |
Output is correct |
23 |
Correct |
3 ms |
1132 KB |
Output is correct |
24 |
Correct |
3 ms |
1132 KB |
Output is correct |
25 |
Correct |
3 ms |
1132 KB |
Output is correct |
26 |
Correct |
3 ms |
1132 KB |
Output is correct |
27 |
Correct |
3 ms |
1132 KB |
Output is correct |
28 |
Correct |
3 ms |
1132 KB |
Output is correct |
29 |
Correct |
2 ms |
1132 KB |
Output is correct |
30 |
Correct |
3 ms |
1132 KB |
Output is correct |
31 |
Correct |
2 ms |
1132 KB |
Output is correct |
32 |
Correct |
2 ms |
1132 KB |
Output is correct |
33 |
Correct |
8 ms |
1152 KB |
Output is correct |
34 |
Correct |
23 ms |
1160 KB |
Output is correct |
35 |
Correct |
115 ms |
1260 KB |
Output is correct |
36 |
Correct |
128 ms |
1260 KB |
Output is correct |
37 |
Correct |
138 ms |
1160 KB |
Output is correct |
38 |
Correct |
19 ms |
1132 KB |
Output is correct |
39 |
Correct |
46 ms |
1132 KB |
Output is correct |
40 |
Correct |
58 ms |
1388 KB |
Output is correct |