#include "elephants.h"
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int MAXN=150005;
const int B=451;
const int INF=(int)1e9+5;
int n;
int L;
int a[MAXN];
int blCnt;
int block[MAXN/B+5][2*B+5];
int cnt[MAXN/B+5];
int dp[MAXN/B+5][2*B+5];
int jump[MAXN/B+5][2*B+5];
pair<int,int> tmp[MAXN];
void calcBlock(int ind)
{
int ptr=cnt[ind]-1;
dp[ind][cnt[ind]]=0;
for(int i=cnt[ind]-1;i>=0;i--)
{
while(a[block[ind][ptr]]-a[block[ind][i]]>L) ptr--;
dp[ind][i]=dp[ind][ptr+1]+1;
if(ptr+1<cnt[ind]) jump[ind][i]=jump[ind][ptr+1];
else jump[ind][i]=a[block[ind][i]]+L+1;
}
}
void rebuild()
{
for(int i=0;i<n;i++)
{
tmp[i]={a[i],i};
}
sort(tmp,tmp+n);
for(int i=0;i<blCnt;i++)
{
for(int j=i*B;j<min(n,(i+1)*B);j++)
{
block[i][j-i*B]=tmp[j].se;
cnt[i]=j-i*B+1;
}
}
for(int i=0;i<blCnt;i++) calcBlock(i);
}
void init(int N, int _L, int X[])
{
n=N;
L=_L;
for(int i=0;i<n;i++) a[i]=X[i];
blCnt=(n+B-1)/B;
rebuild();
}
void rem(int ind)
{
int x=a[ind];
int curBl=0;
for(int i=0;i<blCnt;i++)
{
if(cnt[i]==0) continue;
if(a[block[i][0]]<=x && x<=a[block[i][cnt[i]-1]])
{
curBl=i;
break;
}
}
bool fl=0;
for(int i=0;i<cnt[curBl]-1;i++)
{
if(a[block[curBl][i]]==x) fl=1;
if(fl) block[curBl][i]=block[curBl][i+1];
}
cnt[curBl]--;
calcBlock(curBl);
}
void add(int ind,int x)
{
a[ind]=x;
int curBl=blCnt-1;
for(int i=0;i<blCnt;i++)
{
if(cnt[i]==0) continue;
if(x<=a[block[i][cnt[i]-1]])
{
curBl=i;
break;
}
}
int st=cnt[curBl];
for(int i=0;i<cnt[curBl];i++)
{
if(x<a[block[curBl][i]])
{
st=i;
break;
}
}
for(int i=cnt[curBl];i>st;i--)
{
block[curBl][i]=block[curBl][i-1];
}
block[curBl][st]=ind;
cnt[curBl]++;
calcBlock(curBl);
}
int bs(int ind,int x)
{
int l=0,r=cnt[ind]-1;
while(l<r)
{
int mid=(l+r)/2;
if(a[block[ind][mid]]<x) l=mid+1;
else r=mid;
}
return l;
}
int getAns()
{
int ptr=0;
int x=0;
int ret=0;
while(1)
{
while(ptr<blCnt)
{
if(cnt[ptr]==0)
{
ptr++;
continue;
}
if(a[block[ptr][cnt[ptr]-1]]<x)
{
ptr++;
continue;
}
break;
}
if(ptr>=blCnt) break;
int ind=bs(ptr,x);
ret+=dp[ptr][ind];
x=jump[ptr][ind];
}
return ret;
}
int qrNum=0;
int update(int i, int y)
{
qrNum++;
rem(i);
add(i,y);
if(qrNum%B==0) rebuild();
return getAns();
}
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