Submission #75649

# Submission time Handle Problem Language Result Execution time Memory
75649 2018-09-10T16:23:26 Z Andrei1998 Tents (JOI18_tents) C++17
100 / 100
107 ms 35964 KB
#include <bits/stdc++.h>

using namespace std;

const int MOD = 1000000000 + 7;
inline void add(int &where, const int val) {
    where += val;
    if (where >= MOD)
        where -= MOD;
}

const int NMAX = 3000 + 5;
int N, M;
int dp[NMAX][NMAX];

int main() {
    cin >> N >> M;
    for (int n = 0; n <= N; ++n) {
        for (int m = 0; m <= M; ++m) {
            if (n == 0 || m == 0) {
                dp[n][m] = 1;
                continue;
            }
            dp[n][m] = dp[n - 1][m]; // No tents on the first row
            add(dp[n][m], (4LL * m * dp[n - 1][m - 1]) % MOD); // A single tent on the first row and none on its column
            if (n >= 2)
                add(dp[n][m], (m * (n - 1LL) * dp[n - 2][m - 1]) % MOD); // A single tent on the first row and one more on its column
            if (m >= 2)
                add(dp[n][m], (m * (m - 1LL) / 2 * dp[n - 1][m - 2]) % MOD); // Two tents on the first row and none on their columns
        }
    }
    cout << (dp[N][M] + MOD - 1) % MOD << endl;
    return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 3 ms 1252 KB Output is correct
5 Correct 3 ms 1252 KB Output is correct
6 Correct 3 ms 1568 KB Output is correct
7 Correct 2 ms 1568 KB Output is correct
8 Correct 3 ms 1660 KB Output is correct
9 Correct 2 ms 1660 KB Output is correct
10 Correct 3 ms 1916 KB Output is correct
11 Correct 2 ms 1916 KB Output is correct
12 Correct 5 ms 2172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 3 ms 1252 KB Output is correct
5 Correct 3 ms 1252 KB Output is correct
6 Correct 3 ms 1568 KB Output is correct
7 Correct 2 ms 1568 KB Output is correct
8 Correct 3 ms 1660 KB Output is correct
9 Correct 2 ms 1660 KB Output is correct
10 Correct 3 ms 1916 KB Output is correct
11 Correct 2 ms 1916 KB Output is correct
12 Correct 5 ms 2172 KB Output is correct
13 Correct 2 ms 2172 KB Output is correct
14 Correct 8 ms 9852 KB Output is correct
15 Correct 76 ms 33148 KB Output is correct
16 Correct 8 ms 33148 KB Output is correct
17 Correct 18 ms 33148 KB Output is correct
18 Correct 23 ms 33148 KB Output is correct
19 Correct 87 ms 34812 KB Output is correct
20 Correct 72 ms 34812 KB Output is correct
21 Correct 46 ms 34812 KB Output is correct
22 Correct 47 ms 34812 KB Output is correct
23 Correct 32 ms 34812 KB Output is correct
24 Correct 107 ms 35964 KB Output is correct
25 Correct 88 ms 35964 KB Output is correct
26 Correct 96 ms 35964 KB Output is correct
27 Correct 104 ms 35964 KB Output is correct