oj.uz

Submission #541444

# Submission time Handle Problem Language Result Execution time Memory
541444 2022-03-23T15:29:51 Z eecs NoM (RMI21_nom) C++17
100 / 100
 107 ms 428 KB 
#include <bits/stdc++.h>
using namespace std;

const int maxn = 4010, P = 1000000007;
int n, m, ans, fact[maxn], finv[maxn], f[2][maxn];

int qp(int x, int y) {
    int z = 1;
    for (; y; y >>= 1, x = 1LL * x * x % P) {
        if (y & 1) z = 1LL * z * x % P;
    }
    return z;
}

int main() {
    scanf("%d %d", &n, &m);
    for (int i = fact[0] = finv[0] = 1; i < maxn; i++) {
        fact[i] = 1LL * i * fact[i - 1] % P;
        finv[i] = qp(fact[i], P - 2);
    }
    auto binom = [&](int x, int y) {
        return x < y || y < 0 ? 0 : 1LL * fact[x] * finv[y] % P * finv[x - y] % P;
    };
    int cur = 0, nxt = 1;
    f[0][0] = 1;
    for (int i = 0; i < m; i++, swap(cur, nxt)) {
        int l = (2 * n - i - 1) / m + 1;
        memset(f[nxt], 0, sizeof(f[nxt]));
        for (int j = 0; j <= n; j++) {
            for (int k = 0; k <= min(j, l / 2); k++) {
                f[nxt][j] = (f[nxt][j] + 1LL * f[cur][j - k] * binom(j, k) % P * fact[l] % P * finv[l - 2 * k]) % P;
            }
        }
    }
    for (int i = 0; i <= n; i++) {
        ans = (ans + 1LL * f[cur][i] * binom(n, i) % P * fact[2 * n - 2 * i] % P * (i & 1 ? P - 1 : 1)) % P;
    }
    printf("%d\n", ans);
    return 0;
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:16:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   16 |     scanf("%d %d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 308 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 308 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 304 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 308 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 304 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 304 KB Output is correct
22 Correct 3 ms 296 KB Output is correct
23 Correct 2 ms 304 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 3 ms 304 KB Output is correct
26 Correct 2 ms 304 KB Output is correct
27 Correct 4 ms 340 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 308 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 304 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 304 KB Output is correct
22 Correct 3 ms 296 KB Output is correct
23 Correct 2 ms 304 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 3 ms 304 KB Output is correct
26 Correct 2 ms 304 KB Output is correct
27 Correct 4 ms 340 KB Output is correct
28 Correct 7 ms 340 KB Output is correct
29 Correct 9 ms 340 KB Output is correct
30 Correct 12 ms 340 KB Output is correct
31 Correct 6 ms 340 KB Output is correct
32 Correct 13 ms 340 KB Output is correct
33 Correct 13 ms 340 KB Output is correct
34 Correct 21 ms 340 KB Output is correct

Subtask #5
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 308 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 304 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 304 KB Output is correct
22 Correct 3 ms 296 KB Output is correct
23 Correct 2 ms 304 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 3 ms 304 KB Output is correct
26 Correct 2 ms 304 KB Output is correct
27 Correct 4 ms 340 KB Output is correct
28 Correct 7 ms 340 KB Output is correct
29 Correct 9 ms 340 KB Output is correct
30 Correct 12 ms 340 KB Output is correct
31 Correct 6 ms 340 KB Output is correct
32 Correct 13 ms 340 KB Output is correct
33 Correct 13 ms 340 KB Output is correct
34 Correct 21 ms 340 KB Output is correct
35 Correct 36 ms 344 KB Output is correct
36 Correct 82 ms 348 KB Output is correct
37 Correct 32 ms 340 KB Output is correct
38 Correct 55 ms 344 KB Output is correct
39 Correct 62 ms 428 KB Output is correct
40 Correct 107 ms 340 KB Output is correct