This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define ALL(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return ((ull) rng()) % (r - l + 1) + l;}
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll LASTBIT(ll mask){return mask & (-mask);}
ll pop_cnt(ll mask){return __builtin_popcountll(mask);}
ll ctz(ll mask){return __builtin_ctzll(mask);}
ll clz(ll mask){return __builtin_clzll(mask);}
ll logOf(ll mask){return 63 - clz(mask);}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b){a = b; return true;}
return false;
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b){a = b; return true;}
return false;
}
template <class T>
void printArr(T a, string separator = " ", string finish = "\n", ostream& out = cout){
for(auto i: a) out << i << separator;
out << finish;
}
template <class T>
void remove_dup(T &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const int MOD = 1e9 + 7;
const int N = 4000;
int dp[N][N];
void add(int &a, ll b){
b %= MOD;
a += b;
if (a >= MOD) a -= MOD;
}
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n, m; cin >> n >> m;
dp[n][m]= 1;
for(int i = n; i>=0; --i) for(int j = m; j>=0; --j) if (dp[i][j]){
if (i >= 1) add(dp[i-1][j], dp[i][j]);
if (i >= 1 && j >= 1) add(dp[i-1][j-1], 1LL * dp[i][j] * 4 * j);
if (i >= 2 && j >= 1){
add(dp[i-2][j-1], 1LL * dp[i][j] * (i-1) * j);
}
if (j >= 2 && i >= 1){
add(dp[i-1][j-2], 1LL * dp[i][j] * j * (j-1) / 2);
}
}
int ans = 0;
for(int j = 0; j < m; ++j) add(ans, dp[0][j]);
cout << ans << "\n";
return 0;
}
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