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Submission #210032

# Submission time Handle Problem Language Result Execution time Memory
210032 2020-03-16T12:14:33 Z apostoldaniel854 Zapina (COCI20_zapina) C++14
110 / 110
 108 ms 1272 KB 
/*
https://oj.uz/problem/view/COCI20_zapina
*/


#include <bits/stdc++.h>

using namespace std;


typedef long long ll;
#define pb push_back
#define dbg(x) cerr << #x << " " << x << "\n"

const int N = 350;


/// dp[i][many] = the number of ways to not make anybody happy with many tasks and on prefix 1..i of programmers

const int MOD = 1e9 + 7;

int dp[1 + N][1 + N];
int comb[1 + N][1 + N];
void add (int &a, int b) {
    a += b;
    if (a >= MOD)
        a -= MOD;
}

int main() {
    ios::sync_with_stdio (false);
    cin.tie (0); cout.tie (0);

    int n;
    cin >> n;
    for (int i = 0; i <= n; i++) {
        comb[i][0] = 1;
        for (int j = 1; j <= i; j++)
            comb[i][j] = (comb[i - 1][j - 1] + comb[i - 1][j]) % MOD;
    }
    dp[0][0] = 1;
    for (int i = 1; i <= n; i++) {
        for (int many = 0; many <= n; many++) {
            for (int j = 0; j <= many; j++) {
                if (j == i) continue;
                add (dp[i][many], 1ll * dp[i - 1][many - j] * comb[n - (many - j)][j] % MOD);
            }
        }
    }
    int ans = 1;
    for (int i = 1; i <= n; i++)
        ans = 1ll * ans * n % MOD;
    ans -= dp[n][n];
    if (ans < 0)
        ans += MOD;
    cout << ans << "\n";
    return 0;
}

Subtask #1
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 6 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct

Subtask #3
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 6 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 53 ms 1144 KB Output is correct
18 Correct 5 ms 504 KB Output is correct
19 Correct 15 ms 760 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 70 ms 1144 KB Output is correct
22 Correct 12 ms 760 KB Output is correct
23 Correct 5 ms 504 KB Output is correct
24 Correct 18 ms 764 KB Output is correct
25 Correct 14 ms 760 KB Output is correct
26 Correct 24 ms 888 KB Output is correct
27 Correct 101 ms 1272 KB Output is correct
28 Correct 98 ms 1268 KB Output is correct
29 Correct 98 ms 1272 KB Output is correct
30 Correct 100 ms 1272 KB Output is correct
31 Correct 99 ms 1272 KB Output is correct
32 Correct 101 ms 1144 KB Output is correct
33 Correct 101 ms 1272 KB Output is correct
34 Correct 105 ms 1272 KB Output is correct
35 Correct 106 ms 1248 KB Output is correct
36 Correct 108 ms 1272 KB Output is correct
37 Correct 104 ms 1272 KB Output is correct