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>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define ar array
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
const int maxn = 2e3 + 5, mod = 1e9 + 7;
int N, cs, cf, f[maxn][maxn];
void add(int & x, int y)
{
x += y;
if(x >= mod) x -= mod;
}
signed main(void)
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("A.INP", "r", stdin);
freopen("A.OUT", "w", stdout);
#endif // LOCAL
cin >> N >> cs >> cf;
if(cs > cf) swap(cs, cf);
f[1][0] = 1;
for(int i = 1; i <= N; ++i){
for(int j = 0; j <= i; ++j){
if(i == cs || i == cf){
add(f[i + 1][j], f[i][j]);
if(j > 0) add(f[i + 1][j - 1], 1ll * f[i][j] * j % mod);
}
else{
if(i > cs && j > 0){
add(f[i + 1][j - 1], 1ll * f[i][j] * j % mod);
}
if(i > cf && j > 0){
add(f[i + 1][j - 1], 1ll * f[i][j] * j % mod);
}
add(f[i + 1][j + 1], f[i][j]);
if(j > 1) add(f[i + 1][j - 1], 1ll * j * (j - 1) % mod * f[i][j] % mod);
}
}
}
cout << f[N][0];
}
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