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";
}
}
}
}
long long caldp(int fn,int i,int j,int k){
long long res=0;
if(fn==0){
if(i==0&&j==0&&k==0){
return 1;
}
return 0;
}
res+=caldp(fn-1,i+1,j,k);
if(k==0){
res+=pd[j+i+fn][j+1];
res+=caldp(fn-1,i,j,k^1);
}
else{
res+=pd[fn+i+j][fn+i];
res+=mod-caldp(fn-1,i,j,k^1);
}
res=ww(ww(res));
return res;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>s>>e;
if(s>e){
swap(s,e);
}
calpd();
int res=ww(caldp(e-s,s-1,n-e,0)+caldp(e-s,s-1,n-e,1));
s++;
res+=mod-ww(caldp(e-s,s-1,n-e,0)+caldp(e-s,s-1,n-e,1));
res=ww(res);
cout<<res<<"\n";
return 0;
}
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