This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e5+5;
const int maxl = 20;
int N,D=-1;
vector<int> H;
int nxt[maxn][maxl],lt[maxn],rt[maxn];
void build(int _D){
vector<int> v;D=_D;
for(int i=0;i<=N;i++) lt[i]=rt[i]=-1,nxt[i][0]=N;
for(int i=0;i<N;i++){
while(!v.empty() && H[v.back()]>H[i]) v.pop_back();
int l=0,r=(int)v.size()-1;
while(l<=r){
int mid=(l+r)>>1;
if(H[v[mid]]<=H[i]-D) lt[i]=v[mid],l=mid+1;
else r=mid-1;
}
v.push_back(i);
}
v.clear();
for(int i=N-1;i>=0;i--){
while(!v.empty() && H[v.back()]>H[i]) v.pop_back();
int l=0,r=(int)v.size()-1;
while(l<=r){
int mid=(l+r)>>1;
if(H[v[mid]]<=H[i]-D) rt[i]=v[mid],l=mid+1;
else r=mid-1;
}
v.push_back(i);
}
for(int i=0;i<N;i++){
if(lt[i]==-1 || rt[i]==-1) continue;
nxt[lt[i]][0]=min(nxt[lt[i]][0],rt[i]);
}
for(int i=0;i<N;i++) nxt[i][0]=min(nxt[i][0],nxt[i+1][0]);
for(int i=1;i<18;i++) for(int j=0;j<=N;j++) nxt[j][i]=nxt[nxt[j][i-1]][i-1];
}
void init(int _N, std::vector<int> _H){
N=_N;H=_H;
}
int max_towers(int L, int R, int _D){
if(_D!=D) build(_D);
int cnt=1;
for(int i=17;i>=0;i--){
if(nxt[L][i]<=R) L=nxt[L][i],cnt+=(1<<i);
}
return cnt;
}
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