#include "secret.h"
#include <iostream>
using namespace std;
const int N=1001;
int val[N][N],n;
void recur(int l,int r)
{
if(l==r)return;
int mid=(l+r)/2;
// comput [mid-1,mid]
for(int i=mid-1;i>=l;i--)
{
if(val[i][mid]!=-1)continue;
// cout<<"Prefix "<<val[i][i]<<' '<<val[i+1][mid]<<endl;
val[i][mid]=Secret(val[i][i],val[i+1][mid]);
}
for(int i=mid+2;i<=r;i++)
{
if(val[mid+1][i]!=-1)continue;
// cout<<"Suffix "<<val[mid+1][i-1]<<' '<<val[i][i]<<endl;
val[mid+1][i]=Secret(val[i][i],val[mid+1][i-1]);
}
recur(l,mid);
recur(mid+1,r);
// cout<<"FUll "<<val[l][mid]<<' '<<val[mid+1][r]<<endl;
// val[l][r]=Secret(val[l][mid], val[mid+1][r]);
}
void Init(int N, int A[]) {
n=N;
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
val[i][j]=-1;
}
val[i][i]=A[i];
}
recur(0,n-1);
}
int Query(int L, int R) {
for(int i=L;i<R;i++)
{
if(val[L][i]!=-1 and val[i+1][R]!=-1)
{
return Secret(val[L][i], val[i+1][R]);
}
}
return val[L][R];
}
