This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
#ifndef ONLINE_JUDGE
#include "AkbarKING.h" // aska geldi akbarking.h
#else
#define debug(...)
#define debugArr(...)
#define debugG(...)
#endif
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/hash_policy.hpp>
#define int long long
#define $AzH_TxdmN$ ios_base::sync_with_stdio(0);cin.tie(nullptr);cout.tie(nullptr);
#pragma GCC target("sse,sse2,sse3,ssse3,popcnt,abm,mmx,tune=native")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("fast-math")
#define ep emplace_back
#define pb push_back
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define heap pii,vector<pii>,less<pii>
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using __indexed_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using __indexed_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int sz = 2e3+9;
const int LOG = 63;
const int MOD = 1e9+7;
const int INF = 1e18;
int dp[sz][sz];
int n,cs,cf;
void solve()
{
cin>>n>>cs>>cf;
dp[0][0] = 1;
int fixed = 0;
for (int i = 1; i <= n; ++i)
{
fixed += (i > cs) + (i > cf);
for (int j = 1; j <= i; ++j)
{
if (i == cs || i == cf)
{
dp[i][j] = ((dp[i][j] + dp[i-1][j-1]) % MOD + (dp[i-1][j])) % MOD;
}
else
{
dp[i][j] = (dp[i][j] + (dp[i-1][j+1]*j)%MOD)%MOD;
dp[i][j] = (dp[i][j] + (dp[i-1][j-1]*(j-fixed))%MOD)%MOD;
}
}
}
cout<<dp[n][1]<<'\n';
}
signed main()
{
$AzH_TxdmN$
//freopen("kangaroo.in", "r", stdin);
//freopen("kangaroo.out", "w", stdout);
int t = 1;
//cin>>t;
while (t--)
{
solve();
}
}
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