Submission #203197

# Submission time Handle Problem Language Result Execution time Memory
203197 2020-02-19T19:13:57 Z tri Tents (JOI18_tents) C++14
100 / 100
107 ms 71080 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;

#define pb push_back
#define f first
#define s second

const int MAXN = 3005;
const ll MOD = 1e9 + 7;
ll dp[MAXN][MAXN];

int main() {
    int N, M;
    cin >> N >> M;

    memset(dp, 0, sizeof(dp));

    for (int i = 0; i < N; i++) {
        dp[i][0] = 1;
    }

    for (int j = 0; j < M; j++) {
        dp[0][j] = 1;
    }

    for (int r = 1; r <= N; r++) {
        for (int c = 1; c <= M; c++) {
            // nothing in top row
            ll sum = dp[r - 1][c];

            // one unpaired in top row, 4 possible orientations, all columns
            sum = (sum + 4 * c * dp[r - 1][c - 1]) % MOD;

            // two in same column
            if (r >= 2) {
                sum = (sum + c * (r - 1) * dp[r - 2][c - 1]) % MOD;
            }

            //two in same row
            if (c >= 2) {
                sum = (sum + c * (c - 1) / 2 * dp[r - 1][c - 2]) % MOD;
            }
            dp[r][c] = sum;
        }
    }
    cout << dp[N][M] << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 41 ms 71032 KB Output is correct
2 Correct 40 ms 71032 KB Output is correct
3 Correct 40 ms 71032 KB Output is correct
4 Correct 39 ms 71032 KB Output is correct
5 Correct 40 ms 71036 KB Output is correct
6 Correct 39 ms 71032 KB Output is correct
7 Correct 40 ms 71032 KB Output is correct
8 Correct 41 ms 71032 KB Output is correct
9 Correct 40 ms 71032 KB Output is correct
10 Correct 40 ms 71032 KB Output is correct
11 Correct 48 ms 71080 KB Output is correct
12 Correct 39 ms 71032 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 41 ms 71032 KB Output is correct
2 Correct 40 ms 71032 KB Output is correct
3 Correct 40 ms 71032 KB Output is correct
4 Correct 39 ms 71032 KB Output is correct
5 Correct 40 ms 71036 KB Output is correct
6 Correct 39 ms 71032 KB Output is correct
7 Correct 40 ms 71032 KB Output is correct
8 Correct 41 ms 71032 KB Output is correct
9 Correct 40 ms 71032 KB Output is correct
10 Correct 40 ms 71032 KB Output is correct
11 Correct 48 ms 71080 KB Output is correct
12 Correct 39 ms 71032 KB Output is correct
13 Correct 40 ms 71032 KB Output is correct
14 Correct 39 ms 71032 KB Output is correct
15 Correct 80 ms 71032 KB Output is correct
16 Correct 43 ms 71032 KB Output is correct
17 Correct 49 ms 71032 KB Output is correct
18 Correct 52 ms 71032 KB Output is correct
19 Correct 89 ms 71032 KB Output is correct
20 Correct 76 ms 71032 KB Output is correct
21 Correct 64 ms 71032 KB Output is correct
22 Correct 64 ms 71032 KB Output is correct
23 Correct 56 ms 71032 KB Output is correct
24 Correct 107 ms 71032 KB Output is correct
25 Correct 90 ms 71032 KB Output is correct
26 Correct 92 ms 71032 KB Output is correct
27 Correct 102 ms 71032 KB Output is correct