#include "secret.h"
const int NMAX = (int)1e3;
int n;
int prec[NMAX][NMAX];
void DC (int l,int r,int A[]){
if(l >= r) return;
int m = (l + r) / 2;
prec[m][m] = A[m];
prec[m + 1][m + 1] = A[m + 1];
for (int i = m - 1; i >= l;--i) prec[i][m] = Secret(prec[i + 1][m],A[i]);
for (int i = m + 2; i <= r;++i) prec[m][i] = Secret(prec[m + 1][i - 1],A[i]);
DC(l,m,A);
DC(m + 1,r,A);
}
void Init(int N,int A[]){
n = N;
DC(0,N - 1,A);
}
int Query(int L,int R){
int l = 0,r = n - 1;
while(l != r){
int m = (l + r) / 2;
if(L <= m && m < R) return Secret(prec[L][m],prec[m + 1][R]);
if(R == m) return prec[l][m];
if(L > m) l = m + 1;
else r = m;
}
return prec[l][l];
}
