#include "towers.h"
#include <bits/stdc++.h>
#define ent '\n'

using namespace std;
typedef long long ll;
const int maxn = 1e5 + 12;

int dp[maxn], a[maxn];
int p[20][maxn], lg[maxn];
int pref[maxn];
int n, d;

int get(int l, int r){
    if(l > r) return 0;
    int k = lg[r - l + 1];
    return max(p[k][l], p[k][r - (1 << k) + 1]);
}

void init(int N, std::vector<int> H) {
    n = N;
    for(int i=1;i<=n;i++){
        a[i] = p[0][i] = H[i - 1];
        if(i > 1) lg[i] = lg[i / 2] + 1;
    }
    for(int k=1;k<20;k++){
        for(int i=1;i + (1 << k) - 1 <= n;i++){
            p[k][i] = max(p[k-1][i], p[k-1][i + (1 << (k - 1))]);
        }
    } vector<int> ord;
    for(int i=1;i<=n;i++){
        ord.push_back(i);
    }
    sort(ord.begin(), ord.end(), [](int i, int j){
        return a[i] < a[j];
    });
    set<int> s;
    for(int i:ord){
        auto it = s.upper_bound(i);
        bool ok = 1;
        ok &= (it == s.end() || get(i + 1, *it - 1) - d >= a[i]);
        if(s.size() && it != s.begin()){
            it--;
            ok &= (get(*it+1, i-1) - d >= a[i]);
        }
        if(ok) {
            s.insert(i);
            pref[i] = 1;
        }
    }
    for(int i=1;i<=n;i++){
        pref[i] += pref[i-1];
    }
}

int max_towers(int l, int r, int D) {
    d = D;
    l++, r++;
    if(l == r) return 1;
    return max(0, pref[r-1] - pref[l]) + (a[l] < a[l + 1]) + (a[r] < a[r - 1]);
}