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 k_N = 200 + 3;
const int k_Mod = 1e9 + 7;
int n, cs, cf;
int dp[k_N][k_N][2][k_N][2];
void fix(int &x){
x = (x >= k_Mod) ? (x - k_Mod) : x;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> cs >> cf;
--cs;
--cf;
for(int left = 0; left <= cf; ++left){
for(int right = 0; right <= n - cf; ++right){
for(int side = 0; side <= 1; ++side){
int cnt = (side ? right : left);
for(int position = 0; position < cnt; ++position){
for(int direction = 0; direction <= 1; ++direction){
int &answer = dp[left][right][side][position][direction];
if(left == 0 && right == 1){
answer = 1;
continue;
}
if(side == 1 && position == 0){
answer = 0;
continue;
}
answer = 0;
if(!side){
if(!direction){
for(int new_position = 0; new_position < position; ++new_position){
answer += dp[left - 1][right][0][new_position][1];
fix(answer);
}
}
else{
for(int new_position = position; new_position < left - 1; ++new_position){
answer += dp[left - 1][right][0][new_position][0];
fix(answer);
}
for(int new_position = 0; new_position < right; ++new_position){
answer += dp[left - 1][right][1][new_position][0];
fix(answer);
}
}
}
else{
if(direction){
for(int new_position = position; new_position < right - 1; ++new_position){
answer += dp[left][right - 1][1][new_position][0];
fix(answer);
}
}
else{
for(int new_position = 0; new_position < position; ++new_position){
answer += dp[left][right - 1][1][new_position][1];
fix(answer);
}
for(int new_position = 0; new_position < left; ++new_position){
answer += dp[left][right - 1][0][new_position][1];
fix(answer);
}
}
}
//cout << dp[left][right][side][position][direction] << " - " << left << " " << right << " " << side << " " << position << " " << direction << endl;
}
}
}
}
}
int answer = 0;
if(cs < cf){
answer += dp[cf][n - cf][0][cs][0];
answer += dp[cf][n - cf][0][cs][1];
}
else{
answer += dp[cf][n - cf][1][cs - cf][0];
answer += dp[cf][n - cf][1][cs - cf][1];
}
fix(answer);
cout << answer << "\n";
}
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