Submission #813959

# Submission time Handle Problem Language Result Execution time Memory
813959 2023-08-08T04:46:18 Z kebine Tents (JOI18_tents) C++17
100 / 100
111 ms 70868 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define ull unsigned long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second

const int N = 3e3 + 5;
const int mod = 1e9 + 7;

ll dp1[N][N], dp2[N];

int main() { 
    ios_base::sync_with_stdio(false); cin.tie(NULL);
    int h, w;
    cin >> h >> w;
    dp1[0][w] = 1;
    for (int i = 0; i < h; i++) {
        for (int j = w; j >= 0; j--) {
            if (j >= 2) {
                dp1[i + 1][j - 2] += ((j * (j - 1) / 2) % mod) * dp1[i][j];
                dp1[i + 1][j - 2] %= mod;
            }
            if (j >= 1) {
                dp1[i + 1][j - 1] += j * dp2[j] + 4 * j * dp1[i][j]; 
                dp1[i + 1][j - 1] %= mod;
            }
            dp1[i + 1][j] += dp1[i][j];
            dp1[i + 1][j] %= mod;
            dp2[j] += (i + 1) * dp1[i][j] - i * dp1[max(i - 1, 0)][j];
            dp2[j] %= mod;
        }
    }
    ll ans = 0;
    for (int i = 0; i < w; i++) {
        ans += dp1[h][i];
        ans %= mod;
    }
    cout << ans << "\n";
    // for (int i = 0; i <= h; i++) {
    //     for (int j = w; j >= 0; j--) cout << dp1[i][j] << " ";
    //     cout << "\n";
    // }
}  
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 1108 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 1364 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 1364 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 1748 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 2132 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 1108 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 1364 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 1364 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 1748 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 2 ms 2132 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 72 ms 55196 KB Output is correct
16 Correct 5 ms 4052 KB Output is correct
17 Correct 17 ms 12836 KB Output is correct
18 Correct 21 ms 17056 KB Output is correct
19 Correct 85 ms 62924 KB Output is correct
20 Correct 70 ms 50820 KB Output is correct
21 Correct 45 ms 33724 KB Output is correct
22 Correct 45 ms 35452 KB Output is correct
23 Correct 33 ms 27128 KB Output is correct
24 Correct 111 ms 70868 KB Output is correct
25 Correct 87 ms 61228 KB Output is correct
26 Correct 96 ms 66596 KB Output is correct
27 Correct 103 ms 68932 KB Output is correct