#include <bits/stdc++.h>
using namespace std;
#define X first
#define Y second
#define mp make_pair
#define pb push_back
#define Debug(...) fprintf(stderr, __VA_ARGS__)
typedef long long LL;
typedef long double LD;
typedef unsigned int uint;
typedef pair <int, int> pii;
typedef unsigned long long uLL;
template <typename T> inline void Read(T &x) {
char c = getchar();
bool f = false;
for (x = 0; !isdigit(c); c = getchar()) {
if (c == '-') {
f = true;
}
}
for (; isdigit(c); c = getchar()) {
x = x * 10 + c - '0';
}
if (f) {
x = -x;
}
}
template <typename T> inline bool CheckMax(T &a, const T &b) {
return a < b ? a = b, true : false;
}
template <typename T> inline bool CheckMin(T &a, const T &b) {
return a > b ? a = b, true : false;
}
const int N = 100005;
const int mod = 1e9 + 7;
int n, m, ans, fac[N], inv[N];
inline int Qow(int x, int y) {
int r = 1;
for (; y; y >>= 1, x = 1LL * x * x % mod) {
if (y & 1) {
r = 1LL * r * x % mod;
}
}
return r;
}
inline int C(int x, int y) {
return 1LL * fac[x] * inv[y] % mod * inv[x - y] % mod;
}
int main() {
#ifdef wxh010910
freopen("d.in", "r", stdin);
#endif
Read(n), Read(m), fac[0] = fac[1] = inv[0] = inv[1] = 1;
for (int i = 2; i <= n + 1; ++i) {
fac[i] = 1LL * fac[i - 1] * i % mod;
inv[i] = 1LL * (mod - mod / i) * inv[mod % i] % mod;
}
for (int i = 2; i <= n + 1; ++i) {
inv[i] = 1LL * inv[i - 1] * inv[i] % mod;
}
for (int i = 0; i <= m; ++i) {
if (i & 1) {
ans = (ans - 1LL * C(n + 1, i) * Qow(m - i, n) % mod + mod) % mod;
} else {
ans = (1LL * C(n + 1, i) * Qow(m - i, n) + ans) % mod;
}
}
printf("%d\n", ans);
#ifdef wxh010910
Debug("My Time: %.3lfms\n", (double)clock() / CLOCKS_PER_SEC);
#endif
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
492 KB |
Output is correct |
3 |
Correct |
2 ms |
492 KB |
Output is correct |
4 |
Correct |
2 ms |
492 KB |
Output is correct |
5 |
Correct |
2 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
624 KB |
Output is correct |
7 |
Correct |
2 ms |
624 KB |
Output is correct |
8 |
Correct |
2 ms |
624 KB |
Output is correct |
9 |
Correct |
2 ms |
624 KB |
Output is correct |
10 |
Correct |
2 ms |
624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
492 KB |
Output is correct |
3 |
Correct |
2 ms |
492 KB |
Output is correct |
4 |
Correct |
2 ms |
492 KB |
Output is correct |
5 |
Correct |
2 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
624 KB |
Output is correct |
7 |
Correct |
2 ms |
624 KB |
Output is correct |
8 |
Correct |
2 ms |
624 KB |
Output is correct |
9 |
Correct |
2 ms |
624 KB |
Output is correct |
10 |
Correct |
2 ms |
624 KB |
Output is correct |
11 |
Correct |
2 ms |
624 KB |
Output is correct |
12 |
Correct |
2 ms |
624 KB |
Output is correct |
13 |
Correct |
2 ms |
624 KB |
Output is correct |
14 |
Correct |
2 ms |
752 KB |
Output is correct |
15 |
Correct |
2 ms |
752 KB |
Output is correct |
16 |
Correct |
2 ms |
752 KB |
Output is correct |
17 |
Correct |
2 ms |
752 KB |
Output is correct |
18 |
Correct |
2 ms |
752 KB |
Output is correct |
19 |
Correct |
2 ms |
752 KB |
Output is correct |
20 |
Correct |
2 ms |
752 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
492 KB |
Output is correct |
3 |
Correct |
2 ms |
492 KB |
Output is correct |
4 |
Correct |
2 ms |
492 KB |
Output is correct |
5 |
Correct |
2 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
624 KB |
Output is correct |
7 |
Correct |
2 ms |
624 KB |
Output is correct |
8 |
Correct |
2 ms |
624 KB |
Output is correct |
9 |
Correct |
2 ms |
624 KB |
Output is correct |
10 |
Correct |
2 ms |
624 KB |
Output is correct |
11 |
Correct |
2 ms |
624 KB |
Output is correct |
12 |
Correct |
2 ms |
624 KB |
Output is correct |
13 |
Correct |
2 ms |
624 KB |
Output is correct |
14 |
Correct |
2 ms |
752 KB |
Output is correct |
15 |
Correct |
2 ms |
752 KB |
Output is correct |
16 |
Correct |
2 ms |
752 KB |
Output is correct |
17 |
Correct |
2 ms |
752 KB |
Output is correct |
18 |
Correct |
2 ms |
752 KB |
Output is correct |
19 |
Correct |
2 ms |
752 KB |
Output is correct |
20 |
Correct |
2 ms |
752 KB |
Output is correct |
21 |
Correct |
2 ms |
752 KB |
Output is correct |
22 |
Correct |
2 ms |
752 KB |
Output is correct |
23 |
Correct |
2 ms |
752 KB |
Output is correct |
24 |
Correct |
2 ms |
752 KB |
Output is correct |
25 |
Correct |
2 ms |
752 KB |
Output is correct |
26 |
Correct |
2 ms |
752 KB |
Output is correct |
27 |
Correct |
2 ms |
752 KB |
Output is correct |
28 |
Correct |
2 ms |
752 KB |
Output is correct |
29 |
Correct |
2 ms |
752 KB |
Output is correct |
30 |
Correct |
2 ms |
752 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
492 KB |
Output is correct |
3 |
Correct |
2 ms |
492 KB |
Output is correct |
4 |
Correct |
2 ms |
492 KB |
Output is correct |
5 |
Correct |
2 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
624 KB |
Output is correct |
7 |
Correct |
2 ms |
624 KB |
Output is correct |
8 |
Correct |
2 ms |
624 KB |
Output is correct |
9 |
Correct |
2 ms |
624 KB |
Output is correct |
10 |
Correct |
2 ms |
624 KB |
Output is correct |
11 |
Correct |
2 ms |
624 KB |
Output is correct |
12 |
Correct |
2 ms |
624 KB |
Output is correct |
13 |
Correct |
2 ms |
624 KB |
Output is correct |
14 |
Correct |
2 ms |
752 KB |
Output is correct |
15 |
Correct |
2 ms |
752 KB |
Output is correct |
16 |
Correct |
2 ms |
752 KB |
Output is correct |
17 |
Correct |
2 ms |
752 KB |
Output is correct |
18 |
Correct |
2 ms |
752 KB |
Output is correct |
19 |
Correct |
2 ms |
752 KB |
Output is correct |
20 |
Correct |
2 ms |
752 KB |
Output is correct |
21 |
Correct |
2 ms |
752 KB |
Output is correct |
22 |
Correct |
2 ms |
752 KB |
Output is correct |
23 |
Correct |
2 ms |
752 KB |
Output is correct |
24 |
Correct |
2 ms |
752 KB |
Output is correct |
25 |
Correct |
2 ms |
752 KB |
Output is correct |
26 |
Correct |
2 ms |
752 KB |
Output is correct |
27 |
Correct |
2 ms |
752 KB |
Output is correct |
28 |
Correct |
2 ms |
752 KB |
Output is correct |
29 |
Correct |
2 ms |
752 KB |
Output is correct |
30 |
Correct |
2 ms |
752 KB |
Output is correct |
31 |
Correct |
4 ms |
1408 KB |
Output is correct |
32 |
Correct |
4 ms |
1408 KB |
Output is correct |
33 |
Correct |
5 ms |
1408 KB |
Output is correct |
34 |
Correct |
7 ms |
1408 KB |
Output is correct |
35 |
Correct |
14 ms |
1408 KB |
Output is correct |
36 |
Correct |
14 ms |
1408 KB |
Output is correct |
37 |
Correct |
14 ms |
1408 KB |
Output is correct |
38 |
Correct |
3 ms |
1408 KB |
Output is correct |
39 |
Correct |
7 ms |
1408 KB |
Output is correct |
40 |
Correct |
9 ms |
1408 KB |
Output is correct |