Submission #701410

# Submission time Handle Problem Language Result Execution time Memory
701410 2023-02-21T07:58:53 Z fatemetmhr Tents (JOI18_tents) C++17
100 / 100
227 ms 91952 KB
// ~ Be Name Khoda ~

#include <bits/stdc++.h>
//#pragma GCC optimize ("Ofast")
//#pragma GCC target("avx2")
//#pragma GCC optimize("unroll-loops,O3")

using namespace std;

typedef long long ll;

#define pb       push_back
#define mp       make_pair
#define all(x)   x.begin(), x.end()
#define fi       first
#define se       second

const int maxn  =  1e6   + 10;
const int maxn5 =  3e3   + 10;
const int maxnt =  1.2e6 + 10;
const int maxn3 =  1e3   + 10;
const int mod   =  1e9   +  7;
const ll  inf   =  1e18;

int tak[maxn5][maxn5], dbgr[maxn5][maxn5];
int ent[maxn5][maxn5];

inline void fix(int &a){
    if(a < 0)
        a += mod;
    if(a >= mod)
        a -= mod;
}

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

    int n, m; cin >> n >> m;
    for(int i = 0; i <= n; i++) for(int j = 0; j <= m; j++){
        if(min(i, j) == 0){
            tak[i][j] = 1;
            continue;
        }
        fix(tak[i][j] = tak[i - 1][j] + tak[i - 1][j - 1] * 4LL * j % mod);
    }

    for(int i = 0; i <= max(n, m); i++){
        dbgr[i][0] = 1;
        for(int j = 1; j * 2 <= i; j++)
            fix(dbgr[i][j] = dbgr[i - 1][j] + (dbgr[i - 2][j - 1] * (i - 1LL) * j % mod));
    }

    ent[0][0] = 1;
    for(int i = 1; i < maxn5; i++){
        ent[i][0] = 1;
        for(int j = 1; j < maxn5; j++)
            fix(ent[i][j] = ent[i - 1][j] + ent[i - 1][j - 1]);
    }

    int ans = 0;
    for(int i = 0; i <= n; i++) for(int j = 0; j <= m; j++) if(n >= i + 2 * j && m >= j + 2 * i){
        ll cur = ll(ent[n][i]) * ent[m][j] % mod;
        cur = cur * dbgr[m - j][i] % mod;
        //cout << i << ' ' << j << ' ' << cur << endl;
        cur = cur * dbgr[n - i][j] % mod;
        //cout << i << ' ' << j << ' ' << cur << endl;
        cur = cur * tak[n - i - 2 * j][m - j - 2 * i] % mod;
        fix(ans += cur);
        //cout << i << ' ' << j << ' ' << cur << ' ' << tak[n - i - 2 * j][m - j - 2 * i] << endl;
    }
    fix(--ans);
    cout << ans << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 39 ms 35788 KB Output is correct
2 Correct 36 ms 36428 KB Output is correct
3 Correct 36 ms 36124 KB Output is correct
4 Correct 37 ms 37460 KB Output is correct
5 Correct 37 ms 37068 KB Output is correct
6 Correct 38 ms 37708 KB Output is correct
7 Correct 49 ms 37132 KB Output is correct
8 Correct 41 ms 37832 KB Output is correct
9 Correct 37 ms 36684 KB Output is correct
10 Correct 39 ms 38192 KB Output is correct
11 Correct 37 ms 37068 KB Output is correct
12 Correct 41 ms 38548 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 35788 KB Output is correct
2 Correct 36 ms 36428 KB Output is correct
3 Correct 36 ms 36124 KB Output is correct
4 Correct 37 ms 37460 KB Output is correct
5 Correct 37 ms 37068 KB Output is correct
6 Correct 38 ms 37708 KB Output is correct
7 Correct 49 ms 37132 KB Output is correct
8 Correct 41 ms 37832 KB Output is correct
9 Correct 37 ms 36684 KB Output is correct
10 Correct 39 ms 38192 KB Output is correct
11 Correct 37 ms 37068 KB Output is correct
12 Correct 41 ms 38548 KB Output is correct
13 Correct 48 ms 46404 KB Output is correct
14 Correct 55 ms 59456 KB Output is correct
15 Correct 156 ms 86880 KB Output is correct
16 Correct 50 ms 46660 KB Output is correct
17 Correct 65 ms 53812 KB Output is correct
18 Correct 68 ms 53508 KB Output is correct
19 Correct 167 ms 90020 KB Output is correct
20 Correct 142 ms 80368 KB Output is correct
21 Correct 106 ms 67800 KB Output is correct
22 Correct 110 ms 70868 KB Output is correct
23 Correct 93 ms 75892 KB Output is correct
24 Correct 227 ms 91952 KB Output is correct
25 Correct 162 ms 83144 KB Output is correct
26 Correct 194 ms 88128 KB Output is correct
27 Correct 212 ms 90648 KB Output is correct