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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
refs:
https://codeforces.com/blog/entry/47764?#comment-704139
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
ll n,cs,cf; cin >> n >> cs >> cf;
ll dp[n+5][n+5];
memset(dp,0,sizeof dp);
dp[1][0] = 1;
rep1(i,n){
rep(j,n+1){
dp[i][j] %= MOD;
if(i == cs or i == cf){
ll ways = j;
if(i > min(cs,cf)){
if(i != n){
ways--;
}
}
// new
dp[i+1][j+1] += dp[i][j];
// merge
dp[i+1][j] += dp[i][j]*ways;
}
else{
// new
dp[i+1][j+1] += dp[i][j];
// merge
if(j){
ll ways = 0;
ll spl = 0;
// cs on the left
if(i > cs){
ways += j-1;
spl++;
}
// cf on the right
if(i > cf){
ways += j-1;
spl++;
}
// cs on left, cf on right
if(spl == 2){
if(i == n) ways--;
else ways -= 2;
}
// no spl on both sides
ll non_spl = j-spl;
if(non_spl >= 2){
ways += non_spl*(non_spl-1);
}
dp[i+1][j-1] += ways*dp[i][j];
}
}
}
}
ll ans = dp[n+1][1];
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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