/* Divide & Conquer, except with online queries, so we need N LOG N memory */
#include "secret.h"
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1000;
const int maxlvl = 15;
int n;
int DVC[maxlvl][maxn];
void create(int lvl, int l, int r, int A[]) {
    if (l == r) {
        DVC[lvl][l] = A[l];
        return;
    }
    int m = (l + r) >> 1;
    // left side
    DVC[lvl][m] = A[m];
    for (int i = m - 1; i >= l; i--) DVC[lvl][i] = Secret(A[i], DVC[lvl][i + 1]);
    // right side
    DVC[lvl][m + 1] = A[m + 1];
    for (int i = m + 2; i <= r; i++) DVC[lvl][i] = Secret(DVC[lvl][i - 1], A[i]);
    create(lvl + 1, l, m, A);
    create(lvl + 1, m + 1, r, A);
}
int get(int lvl, int l, int r, int L, int R) {
    if (l == r) return DVC[lvl][L];
    int m = (l + r) >> 1;
    if (R <= m) return get(lvl + 1, l, m, L, R);
    if (L >= m+1) return get(lvl + 1, m+1, r, L, R);
    return Secret(DVC[lvl][L], DVC[lvl][R]);
}
void Init(int N, int A[]) {
    n = N;
    create(0, 0, n - 1, A);
}
int Query(int L, int R) {
    return get(0, 0, n - 1, L, R);
}
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