#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define endl '\n'
#define fi first
#define se second
#define For(i, l, r) for (int i = l; i < r; i++)
#define ForE(i, l, r) for (int i = l; i <= r; i++)
#define FordE(i, l, r) for (int i = l; i >= r; i--)
#define Fora(v, a) for (auto v: a)
#define bend(a) a.begin(), a.end()
#define isz(a) ((signed)a.size())
using ll = long long;
using ld = long double;
using pii = pair <int, int>;
using vi = vector <int>;
using vpii = vector <pii>;
using vvi = vector <vi>;
const int N = 3e3 + 5, mod = 1e9 + 7;
inline void sadd(int& x, int y){
if ((x += y) >= mod) x -= mod;
return;
}
inline int add(int x, int y){
if ((x += y) >= mod) x -= mod;
return x;
}
inline void ssub(int& x, int y){
if ((x -= y) < 0) x += mod;
return;
}
inline int sub(int x, int y){
if ((x -= y) < 0) x += mod;
return x;
}
inline int mul(int x, int y){
return 1ll * x * y % mod;
}
inline int binpow(int x, int y){
int ans = 1;
while (y){
if (y & 1) ans = mul(ans, x);
x = mul(x, x);
y >>= 1;
}
return ans;
}
inline int inv(int x){
return binpow(x, mod - 2);
}
#define div __div__
inline int div(int x, int y){
return mul(x, binpow(y, mod - 2));
}
int fac[N], invfac[N];
void calfac(){
fac[0] = invfac[0] = 1;
For(i, 1, N){
fac[i] = mul(fac[i - 1], i);
}
invfac[N - 1] = binpow(fac[N - 1], mod - 2);
FordE(i, N - 2, 1){
invfac[i] = mul(invfac[i + 1], i + 1);
}
}
inline int C(int n, int k){
if (n < 0 or k < 0 or k > n){
return 0;
}
return mul(fac[n], mul(invfac[k], invfac[n - k]));
}
inline int P(int n, int k){
if (n < 0 or k < 0 or k > n){
return 0;
}
return mul(fac[n], invfac[n - k]);
}
int n, m;
int dp[N][N];
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("KEK.inp", "r", stdin);
// freopen("KEK.out", "w", stdout);
calfac();
cin >> n >> m;
ForE(j, 0, m){
dp[0][j] = 1;
}
ForE(i, 1, n){
ForE(j, 0, m){
dp[i][j] = dp[i - 1][j];
if (j >= 1){
sadd(dp[i][j], mul(dp[i - 1][j - 1], 4 * j));
}
if (j >= 2){
sadd(dp[i][j], mul(dp[i - 1][j - 2], j * (j - 1) / 2));
}
if (i >= 2 and j >= 1){
sadd(dp[i][j], mul(dp[i - 2][j - 1], (i - 1) * j));
}
}
}
cout << sub(dp[n][m], 1) << endl;
}
/*
==================================================+
INPUT: |
--------------------------------------------------|
--------------------------------------------------|
==================================================+
OUTPUT: |
--------------------------------------------------|
--------------------------------------------------|
==================================================+
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
464 KB |
Output is correct |
4 |
Correct |
1 ms |
1104 KB |
Output is correct |
5 |
Correct |
1 ms |
592 KB |
Output is correct |
6 |
Correct |
1 ms |
1236 KB |
Output is correct |
7 |
Correct |
1 ms |
720 KB |
Output is correct |
8 |
Correct |
1 ms |
1360 KB |
Output is correct |
9 |
Correct |
1 ms |
848 KB |
Output is correct |
10 |
Correct |
1 ms |
1616 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
2 ms |
1872 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
464 KB |
Output is correct |
4 |
Correct |
1 ms |
1104 KB |
Output is correct |
5 |
Correct |
1 ms |
592 KB |
Output is correct |
6 |
Correct |
1 ms |
1236 KB |
Output is correct |
7 |
Correct |
1 ms |
720 KB |
Output is correct |
8 |
Correct |
1 ms |
1360 KB |
Output is correct |
9 |
Correct |
1 ms |
848 KB |
Output is correct |
10 |
Correct |
1 ms |
1616 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
2 ms |
1872 KB |
Output is correct |
13 |
Correct |
1 ms |
336 KB |
Output is correct |
14 |
Correct |
5 ms |
9560 KB |
Output is correct |
15 |
Correct |
78 ms |
32852 KB |
Output is correct |
16 |
Correct |
5 ms |
2640 KB |
Output is correct |
17 |
Correct |
16 ms |
7888 KB |
Output is correct |
18 |
Correct |
20 ms |
10960 KB |
Output is correct |
19 |
Correct |
81 ms |
34536 KB |
Output is correct |
20 |
Correct |
68 ms |
29100 KB |
Output is correct |
21 |
Correct |
45 ms |
19760 KB |
Output is correct |
22 |
Correct |
44 ms |
22184 KB |
Output is correct |
23 |
Correct |
28 ms |
19664 KB |
Output is correct |
24 |
Correct |
112 ms |
35512 KB |
Output is correct |
25 |
Correct |
82 ms |
30712 KB |
Output is correct |
26 |
Correct |
92 ms |
33432 KB |
Output is correct |
27 |
Correct |
107 ms |
34696 KB |
Output is correct |