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>
using namespace std;
const int N = 201, mod = 1e9 + 7;
ifstream fin("kangaroo.in");
ofstream fout("kangaroo.out");
#define cin fin
#define cout fout
struct Mint
{
int val;
Mint(int x = 0)
{
val = x % mod;
}
Mint(long long x)
{
val = x % mod;
}
Mint operator+(Mint oth)
{
return val + oth.val;
}
Mint operator*(Mint oth)
{
return 1LL * val * oth.val;
}
Mint operator-(Mint oth)
{
return val - oth.val + mod;
}
Mint fp(Mint a, long long n){
Mint p = 1;
while(n){
if(n & 1){
p = p * a;
}
a = a * a;
n /= 2;
}
return p;
}
Mint operator/(Mint oth){
Mint invers = fp(oth, mod - 2);
return 1LL * val * invers.val;
}
friend ostream& operator << (ostream& os, const Mint& lol){
os << lol.val;
return os;
}
};
Mint dp[N][N][2];
int n, x, y;
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> x >> y;
dp[1][x][0] = dp[1][x][1] = 1;
for(int i = 2; i < n; i++){
for(int j = 1; j <= n; j++){
if(j == x || j == y) continue;
for(int k = 1; k <= n; k++){
if(k == j || k == y) continue;
if(j < k){
dp[i][j][0] = dp[i][j][0] + dp[i - 1][k][1];
}else{
dp[i][j][1] = dp[i][j][1] + dp[i - 1][k][0];
}
}
}
}
for(int i = 1; i <= n; i++){
if(i == y) continue;
if(i < y){
dp[n][y][1] = dp[n][y][1] + dp[n - 1][i][0];
}else{
dp[n][y][0] = dp[n][y][0] + dp[n - 1][i][1];
}
}
cout << dp[n][y][0] + dp[n][y][1];
}
// dp[i][j] = in cate moduri pot sa pun eu astea astfel incat sa se termine cu cu al k lea element lol
// 2 .. 3
// n - 2
// dp[i][j componente][A primu element][B, ultimul]
// dp[i][j] = pui o singura componenta
// lipesti pe i la o componenta
// unesti 2 compnonente, cu i la mijloc
// dp[i][j][nr] =
// dp[i][x] = in cate moduri poti sa pui numerele astfel incat
// dp[i][x][1/0] = daca eu iau
// dp[1][2][0][1] = 1;
// dp[2][1][0] = dp[i - 1][]
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