#include<bits/stdc++.h>
#define pb emplace_back
#define AI(i) begin(i), end(i)
using namespace std;
using ll = long long;
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() {cerr << endl;}
template<class T, class ...U> void kout (T v, U ...e) { cerr << v << ' ', kout(e...); }
template<class T> void debug(T L, T R) { while (L != R) cerr << *L << " \n"[next(L)==R], ++L; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
// What I should check
// 1. overflow
// 2. corner cases
// Enjoy the problem instead of hurrying to AC
// Good luck !
const int MAX_N = 3010, p = 1e9 + 7;
ll dp[MAX_N][MAX_N];
void add(ll &a, ll b) { a += b - p, a += (a >> 63) & p; }
int32_t main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int n, k;
cin >> n >> k;
if (n >= MAX_N) return 1;
dp[1][0] = 1;
for (int i = 1;i < n;++i) {
for (int j = 0;j < i;++j) {
add(dp[i + 1][j], dp[i][j] * (j + 1) % p);
add(dp[i + 1][j + 1], dp[i][j] * (i + 1 - (j + 1)) % p);
}
}
cout << dp[n][k-1] << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
748 KB |
Output is correct |
12 |
Correct |
2 ms |
1900 KB |
Output is correct |
13 |
Correct |
2 ms |
1900 KB |
Output is correct |
14 |
Correct |
2 ms |
1900 KB |
Output is correct |
15 |
Correct |
2 ms |
1900 KB |
Output is correct |
16 |
Correct |
2 ms |
1900 KB |
Output is correct |
17 |
Correct |
2 ms |
1260 KB |
Output is correct |
18 |
Correct |
2 ms |
1644 KB |
Output is correct |
19 |
Correct |
1 ms |
1004 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
748 KB |
Output is correct |
12 |
Correct |
2 ms |
1900 KB |
Output is correct |
13 |
Correct |
2 ms |
1900 KB |
Output is correct |
14 |
Correct |
2 ms |
1900 KB |
Output is correct |
15 |
Correct |
2 ms |
1900 KB |
Output is correct |
16 |
Correct |
2 ms |
1900 KB |
Output is correct |
17 |
Correct |
2 ms |
1260 KB |
Output is correct |
18 |
Correct |
2 ms |
1644 KB |
Output is correct |
19 |
Correct |
1 ms |
1004 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
8 ms |
8300 KB |
Output is correct |
22 |
Correct |
9 ms |
8300 KB |
Output is correct |
23 |
Correct |
8 ms |
8300 KB |
Output is correct |
24 |
Correct |
9 ms |
8300 KB |
Output is correct |
25 |
Correct |
9 ms |
8300 KB |
Output is correct |
26 |
Correct |
9 ms |
8300 KB |
Output is correct |
27 |
Correct |
10 ms |
8300 KB |
Output is correct |
28 |
Correct |
4 ms |
4204 KB |
Output is correct |
29 |
Correct |
1 ms |
1260 KB |
Output is correct |
30 |
Correct |
9 ms |
8172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
748 KB |
Output is correct |
12 |
Correct |
2 ms |
1900 KB |
Output is correct |
13 |
Correct |
2 ms |
1900 KB |
Output is correct |
14 |
Correct |
2 ms |
1900 KB |
Output is correct |
15 |
Correct |
2 ms |
1900 KB |
Output is correct |
16 |
Correct |
2 ms |
1900 KB |
Output is correct |
17 |
Correct |
2 ms |
1260 KB |
Output is correct |
18 |
Correct |
2 ms |
1644 KB |
Output is correct |
19 |
Correct |
1 ms |
1004 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
8 ms |
8300 KB |
Output is correct |
22 |
Correct |
9 ms |
8300 KB |
Output is correct |
23 |
Correct |
8 ms |
8300 KB |
Output is correct |
24 |
Correct |
9 ms |
8300 KB |
Output is correct |
25 |
Correct |
9 ms |
8300 KB |
Output is correct |
26 |
Correct |
9 ms |
8300 KB |
Output is correct |
27 |
Correct |
10 ms |
8300 KB |
Output is correct |
28 |
Correct |
4 ms |
4204 KB |
Output is correct |
29 |
Correct |
1 ms |
1260 KB |
Output is correct |
30 |
Correct |
9 ms |
8172 KB |
Output is correct |
31 |
Runtime error |
1 ms |
364 KB |
Execution failed because the return code was nonzero |
32 |
Halted |
0 ms |
0 KB |
- |