This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Grzegorz Ryn
// V LO Kraków
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<bool> vb;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef vector<ll> vl;
typedef vector<vector<ll>> vvl;
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define st first
#define nd second
#define FOR(__VAR, __START, __END) for(int __VAR=__START; __VAR<=__END; __VAR++)
#define FORB(__VAR, __START, __END) for(int __VAR=__START; __VAR>=__END; __VAR--)
#define FORK(__VAR, __START, __END, __DIFF) for(int __VAR=__START; __VAR<=END; __VAR+=__DIFF)
#define all(__VAR) (__VAR).begin(), (__VAR).end()
#define rall(__VAR) (__VAR).rbegin(), (__VAR).rend()
#define DEBUG(__VAR) cout << #__VAR << ": " << __VAR << endl;
template<typename __T1, typename __T2>
ostream & operator<<(ostream &out, pair<__T1, __T2> &__VAR) {
cout << "[" << __VAR.st << ", " << __VAR.nd << "]";
return out;
}
template<typename __T>
ostream & operator<<(ostream &out, vector<__T> &__VAR) {
cout << "[";
FOR(i, 0, (int)__VAR.size()-2)
cout << __VAR[i] << ", ";
if(__VAR.size()>0)
cout << __VAR[__VAR.size()-1];
cout << "]" << endl;
return out;
}
const ll INF = 1e17, MOD = 1'000'000'000 + 7;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int N, b, e;
cin >> N >> b >> e;
vector<vector<ll>> dp(N+1, vector<ll>(N+1));
dp[1][1] = 1;
for(ll i=2; i<=N; i++) {
for(ll j=1; j<=N; j++) {
if(i == b || i == e) {
dp[i][j] = (dp[i-1][j-1] + dp[i-1][j]) % MOD;
continue;
}
dp[i][j] = (j*dp[i-1][j+1]) % MOD;
ll pos = j;
if(b < i) {
pos--;
}
if(e < i) {
pos--;
}
dp[i][j] += dp[i-1][j-1] * pos;
dp[i][j] %= MOD;
}
}
cout << dp[N][1] << '\n';
return 0;
}
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