#include "elephants.h"
#include <bits/stdc++.h>
using namespace std;
const int mxN=1.5e5, B=550, mxBC=(mxN-1)/B+1;
int n, l, *x, uc, bc, r[mxBC];
map<int, int> mp;
vector<int> v[mxBC];
vector<array<int, 2>> w[mxBC];
void init(int N, int L, int X[]) {
n=N, l=L, x=X;
for(int i=0; i<n; ++i)
++mp[x[i]];
}
void bb(int i) {
w[i]=vector<array<int, 2>>(v[i].size());
for(int j1=(int)v[i].size()-1, j2=v[i].size(); ~j1; --j1) {
while(v[i][j2-1]>v[i][j1]+l)
--j2;
w[i][j1]=j2<v[i].size()?array<int, 2>{w[i][j2][0]+1, w[i][j2][1]}:array<int, 2>{1, v[i][j1]+l};
}
}
void bld() {
bc=0;
for(pair<int, int> p : mp) {
if(!bc||v[bc-1].size()>=B)
v[bc++].clear();
v[bc-1].push_back(p.first);
}
for(int i=0; i<bc; ++i) {
r[i]=i+1<bc?v[i+1][0]-1:1e9;
bb(i);
}
}
void upd(int x, bool a) {
int c=-1;
while(x>r[++c]);
int p=lower_bound(v[c].begin(), v[c].end(), x)-v[c].begin();
if(a)
v[c].insert(v[c].begin()+p, x);
else
v[c].erase(v[c].begin()+p);
bb(c);
}
int update(int i, int y) {
if(uc++%B==0)
bld();
--mp[x[i]];
if(!mp[x[i]]) {
upd(x[i], 0);
mp.erase(x[i]);
}
if(!mp[y])
upd(y, 1);
++mp[y];
x[i]=y;
int a=0;
for(int i=0, c=-1; i<bc; ++i) {
int p=upper_bound(v[i].begin(), v[i].end(), c)-v[i].begin();
if(p<v[i].size()) {
a+=w[i][p][0];
c=w[i][p][1];
}
}
return a;
}
