#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 3002;
const ll mod = 1e9 + 7;
ll dp[N][N];
ll multi(ll a, ll b){
return ((a % mod) * (b % mod)) % mod;
}
ll add(ll a, ll b){
return (a + b) % mod;
}
ll f(ll x, ll y){
if(x < 0 || y < 0) return 0;
if(x == 0 || y == 0) return 1;
auto &cur = dp[x][y];
if(cur != -1) return cur;
cur = add(
add(
add(
f(x - 1, y),
multi(4LL*y, f(x - 1, y - 1))
),
multi((y*(y - 1LL))/2LL, f(x - 1, y - 2))
),
multi(y*(x - 1LL), f(x - 2, y - 1))
);
return cur;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
memset(dp, -1, sizeof(dp));
int h, w; cin >> h >> w;
cout << (f(h, w) - 1LL + mod) % mod << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
70868 KB |
Output is correct |
2 |
Correct |
27 ms |
70868 KB |
Output is correct |
3 |
Correct |
21 ms |
70800 KB |
Output is correct |
4 |
Correct |
22 ms |
70868 KB |
Output is correct |
5 |
Correct |
24 ms |
70832 KB |
Output is correct |
6 |
Correct |
23 ms |
70760 KB |
Output is correct |
7 |
Correct |
22 ms |
70740 KB |
Output is correct |
8 |
Correct |
21 ms |
70884 KB |
Output is correct |
9 |
Correct |
22 ms |
70844 KB |
Output is correct |
10 |
Correct |
23 ms |
70836 KB |
Output is correct |
11 |
Correct |
28 ms |
70748 KB |
Output is correct |
12 |
Correct |
29 ms |
70768 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
70868 KB |
Output is correct |
2 |
Correct |
27 ms |
70868 KB |
Output is correct |
3 |
Correct |
21 ms |
70800 KB |
Output is correct |
4 |
Correct |
22 ms |
70868 KB |
Output is correct |
5 |
Correct |
24 ms |
70832 KB |
Output is correct |
6 |
Correct |
23 ms |
70760 KB |
Output is correct |
7 |
Correct |
22 ms |
70740 KB |
Output is correct |
8 |
Correct |
21 ms |
70884 KB |
Output is correct |
9 |
Correct |
22 ms |
70844 KB |
Output is correct |
10 |
Correct |
23 ms |
70836 KB |
Output is correct |
11 |
Correct |
28 ms |
70748 KB |
Output is correct |
12 |
Correct |
29 ms |
70768 KB |
Output is correct |
13 |
Correct |
24 ms |
70776 KB |
Output is correct |
14 |
Correct |
27 ms |
71028 KB |
Output is correct |
15 |
Correct |
200 ms |
71064 KB |
Output is correct |
16 |
Correct |
24 ms |
70868 KB |
Output is correct |
17 |
Correct |
34 ms |
70868 KB |
Output is correct |
18 |
Correct |
56 ms |
70872 KB |
Output is correct |
19 |
Correct |
197 ms |
71068 KB |
Output is correct |
20 |
Correct |
156 ms |
71024 KB |
Output is correct |
21 |
Correct |
99 ms |
70968 KB |
Output is correct |
22 |
Correct |
115 ms |
71008 KB |
Output is correct |
23 |
Correct |
81 ms |
71076 KB |
Output is correct |
24 |
Correct |
241 ms |
71168 KB |
Output is correct |
25 |
Correct |
192 ms |
71040 KB |
Output is correct |
26 |
Correct |
225 ms |
70996 KB |
Output is correct |
27 |
Correct |
227 ms |
71036 KB |
Output is correct |