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 fr(i, n, m) for(int i = (n); i < (m); i ++)
#define st first
#define nd second
#define all(v) begin(v), end(v)
#define pq priority_queue
#define pb push_back
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const ll inf = 1e18;
const ll mod = 1e9+7;
const int mxn = 2e5;
int n, f, s;
int p = 0;
ll dp[202][202][202][2][2];
ll g(int a, int b, int pos, int side){
if(dp[a][b][pos][side][p] != -1) return dp[a][b][pos][side][p];
int dir = ((a+b)&1)^p;
ll ret = 0;
if(side == 0){
if(dir == 0){
if(b == 0 && a == 1){
return 0;
}
fr(ipos, 0, pos){
ret += g(a-1, b, ipos, 0);
ret %= mod;
}
}
else{
if(b == 0 && a == 1){
return 1;
}
fr(ipos, pos, a-1){
ret += g(a-1, b, ipos, 0);
ret %= mod;
}
fr(ipos, 0, b){
ret += g(a-1, b, ipos, 1);
ret %= mod;
}
}
}
else{
if(dir == 1){
if(a == 0 && b == 1){
return 0;
}
fr(ipos, pos, b-1){
ret += g(a, b-1, ipos, 1);
ret %= mod;
}
}
else{
if(a == 0 && b == 1){
return 1;
}
fr(ipos, 0, pos){
ret += g(a, b-1, ipos, 1);
ret %= mod;
}
fr(ipos, 0, a){
ret += g(a, b-1, ipos, 0);
ret %= mod;
}
}
}
dp[a][b][pos][side][p] = ret;
return ret;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> s >> f;
if(s > f) swap(s, f);
--s, --f;
memset(dp, -1, sizeof(dp));
int A = f;
int B = n-A-1;
ll tot = g(A, B, s, 0);
p = 1;
tot += g(A, B, s, 0);
tot %= mod;
cout<<tot<<endl;
}
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