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 all(x) x.begin(), x.end()
#define getbit(x, i) (((x) >> (i)) & 1)
#define bit(x) (1 << (x))
#define file ""
using namespace std;
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
long long rand(long long l, long long r) {
return l + rd() % (r - l + 1);
}
const int N = 2e3 + 5;
const int mod = 1e9 + 7; // 998244353;
const int inf = INT_MAX;
const long long llinf = LLONG_MAX;
const int lg = 25; // lg + 1
template<class X, class Y> bool minimize(X &a, Y b) {
return a > b ? (a = b, true) : false;
}
template<class X, class Y> bool maximize(X &a, Y b) {
return a < b ? (a = b, true) : false;
}
template<class X, class Y> bool add(X &a, Y b) {
a += b;
while (a >= mod) a -= mod;
while (a < 0) a += mod;
return true;
}
int n, s, e;
int f[N][N];
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
// freopen(file".inp", "r",stdin);
// freopen(file".out", "w",stdout);
cin >> n >> s >> e;
f[0][0] = 1;
for (int i = 0; i < n; ++i) for (int j = 0; j <= i; ++j) {
if (i + 1 == s || i + 1 == e) {
// one place
// one
add(f[i + 1][j + 1], f[i][j]);
// append
add(f[i + 1][j], f[i][j]);
} else {
// create new one
add(f[i + 1][j + 1], 1LL * f[i][j] * (j + 1 - (i + 1 > s) - (i + 1 > e)));
// we can't append
// unite
if (j > 0) add(f[i + 1][j - 1], 1LL * f[i][j] * (j - 1) % mod);
}
}
cout << f[n][1];
return 0;
}
/*
restriction
a[i] < a[j] > a[k]
*/
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