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 ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
const int mxN = 2008;
const int inf = 1e9 + 277;
const int mod = 1e9 + 7;
const ll infll = 1e18 + 7;
const int base = 307;
const int LOG = 20;
template <typename T1, typename T2> bool minimize(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
int n;
int sta;
int fin;
int dp[mxN][mxN];
void add(int &a, int b)
{
a += b;
if(a >= mod)
a -= mod;
}
void solve()
{
cin >> n >> sta >> fin;
dp[1][1] = 1;
for(int i = 2; i <= n; i++) {
for(int j = 1; j <= n; j++) {
if(i == sta || i == fin) {
add(dp[i][j], dp[i - 1][j - 1]);
add(dp[i][j], dp[i - 1][j]);
}
else {
add(dp[i][j], 1LL * dp[i - 1][j + 1] * j % mod);
add(dp[i][j], 1LL * dp[i - 1][j - 1] * (j - (i > sta) - (i > fin)) % mod);
}
}
}
cout << dp[n][1];
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int tc = 1;
//cin >> tc;
while(tc--) {
solve();
}
return 0;
}
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