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 maxn=200+10;
int mod=1e9+7;
long long dp[maxn][maxn][maxn][2],pd[maxn][maxn];
int n,s,e;
int ww(long long a){
a%=mod;
return a;
}
void calpd(){
pd[1][1]=1;
pd[2][1]=0;
pd[2][2]=1;
for(int i=3;i<=n;i++){
if((i&1)==0){
for(int j=1;j<=i;j++){
pd[i][j]=pd[i][j-1]+pd[i-1][i-j+1]+pd[i-1][j-1];
pd[i][j]=ww(pd[i][j]);
// cout<<i<<" "<<j<<" "<<pd[i][j]<<"\n";
}
}
else{
for(int j=2;j<=i;j++){
pd[i][j]=pd[i][j-1]+mod-pd[i-1][j-1]+pd[i-1][i-j+1];
pd[i][j]=ww(pd[i][j]);
// cout<<i<<" "<<j<<" "<<pd[i][j]<<"\n";
}
}
}
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>s>>e;
if(s>e){
swap(s,e);
}
calpd();
dp[0][0][0][0]=1;
for(int sum=1;sum<=n;sum++){
for(int fn=1;fn<=sum;fn++){
for(int i=sum-fn;i>=0;i--){
int j=sum-fn-i;
for(int k=0;k<2;k++){
dp[fn][i][j][k]=dp[fn-1][i+1][j][k];
if(k==0){
dp[fn][i][j][k]+=pd[j+i+fn][j+1];
// if(j>0){
// dp[fn][i][j][k]+=dp[j-1][1][fn+i-1][k];
// }
dp[fn][i][j][k]+=dp[fn-1][i][j][k^1];
}
else{
dp[fn][i][j][k]+=pd[fn+i+j][fn+i];
if(pd[fn+i+j][fn+i]!=dp[fn+i-1][0][j][0]){
cout<<"yekhoda "<<fn<<" "<<i<<" "<<j<<" "<<pd[fn+i+j][fn+i]<<" "<<dp[fn+i-1][0][j][0]<<"\n";
}
// if(fn+i>=2){
// dp[fn][i][j][k]+=dp[fn+i-2][1][j][k^1];
// }
dp[fn][i][j][k]+=mod-dp[fn-1][i][j][k^1];
}
dp[fn][i][j][k]=ww(ww(dp[fn][i][j][k]));
}
}
}
}
int res=ww(dp[e-s][s-1][n-e][0]+dp[e-s][s-1][n-e][1]);
s++;
res+=mod-ww(dp[e-s][s-1][n-e][0]+dp[e-s][s-1][n-e][1]);
res=ww(res);
cout<<res<<"\n";
return 0;
}
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