#include "secret.h"
//ᴇᴀᴄʜ ᴘᴇʀꜱᴏɴ ᴡɪʟʟ ᴏɴʟʏ ʜᴀᴠᴇ ᴡʜᴀᴛ ᴛʜᴇʏ ᴇɴᴅᴇᴀᴠᴏᴜʀᴇᴅ ᴛᴏᴡᴀʀᴅꜱ [53:39]
//Author: Sazid Hasan
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double dl;
typedef vector<int> vi;
typedef vector<vector<int>> vii;
typedef vector<ll> vl;
typedef vector<bool> vb;
typedef pair<int,int> pii;
typedef pair<ll, ll> pll;
#define ff first
#define ss second
#define all(a) a.begin(),a.end()
#define gcd(a,b) __gcd(a,b)
#define lcm(a,b) (a*(b/gcd(a,b)))
#define spc " "
#ifdef ONLINE_JUDGE
#define debarr(array)
#define deb(x)
#define del
#else
#define debarr(array) for(int w = 0; w < array.size(); w++) cerr << #array << "-" << w << " = " << array[w] << endl;
#define deb(x) cerr << #x << " = " << x << endl;
#define del cerr << '\n';
#endif
const double PI = acos(-1);
const int MOD = 1000000007;
const int inf = (2147483647);
const int MAXN = 1010;
vii tab(MAXN, vi(MAXN, -1));
vi lgN(MAXN);
void Init(int N, int A[]) {
for(int i = 2; i < MAXN; i++) lgN[i] = lgN[i/2] + 1;
for(int i = 0; i < N; i++) tab[i][i] = A[i];
int cnt = 0;
for(int i = 1; i < N; i++){
for(int j = 2; !((i/j)==0 && tab[0][i]!=-1); j <<= 1){
int k = (i/j) * j;
if(tab[k][i]==-1) tab[k][i] = Secret(tab[k][i-1], A[i]);
}
}
for(int i = N-1; i>0; i--){
for(int j = 2; 1; j <<= 1){
int k = (((i+j-1)/j) * j) - 1;
if(k>=N) break;
if(k>i && tab[i][k]==-1) tab[i][k] = Secret(A[i], tab[i+1][k]);
}
}
}
int Query(int L, int R) {
if(tab[L][R]!=-1) return tab[L][R];
for(int i = L; i<=R ; i++){
if( (tab[L][i]!=-1) && (tab[i+1][R]!=-1) ){
return Secret(tab[L][i], tab[i+1][R]);
}
}
return -1;
}