#include "bubblesort2.h"
#include<bits/stdc++.h>
using namespace std;
int cate;
map<int,set<int>> ofval;
map<int,int> mp,nrm;
int aint[2200000],lazy[2200000];
void propagate(int nod)
{
    if(!lazy[nod])
        return;
    lazy[nod*2] += lazy[nod];
    lazy[nod*2+1] += lazy[nod];
    aint[nod*2] += lazy[nod];
    aint[nod*2+1] += lazy[nod];
    lazy[nod]=0;
}
void upd(int nod, int st, int dr, int le, int ri, int newv)
{
    if(le>ri)
        return;
    if(le==st && dr==ri)
    {
        aint[nod] += newv;
        lazy[nod] += newv;
        return;
    }
    propagate(nod);
    int mij=(st+dr)/2;
    upd(nod*2,st,mij,le,min(mij,ri),newv);
    upd(nod*2+1,mij+1,dr,max(mij+1,le),ri,newv);
    aint[nod] = max(aint[nod*2], aint[nod*2+1]);
}
void scoate_ult(int val)
{
    if(ofval[val].empty())
        return;
    int ult = *ofval[val].rbegin();
    ult++;
    upd(1,1,cate,val,val,-ult);
}
void baga_ult(int val)
{
    if(ofval[val].empty())
        return;
    int ult = *ofval[val].rbegin();
    ult++;
    upd(1,1,cate,val,val,+ult);
}
std::vector<int> countScans(std::vector<int> A,std::vector<int> X,std::vector<int> V)
{
    for(int x:A)
        mp[x]++;
    for(int x:V)
        mp[x]++;
    for(auto it:mp)
        if(it.second)
            nrm[it.first]=++cate;
    for(int&x:A)
        x = nrm[x];
    for(int&x:V)
        x = nrm[x];
    for(int i=0;i<A.size();i++)
    {
        ofval[A[i]].insert(i);
        upd(1,1,cate,A[i],cate,-1);
    }
    for(int val=1;val<=cate;val++)
        baga_ult(val);
    vector<int> sol;
    for(int i=0;i<X.size();i++)
    {
        int oldval = A[X[i]], newval = V[i];
        scoate_ult(oldval);
        scoate_ult(newval);
        upd(1,1,cate,A[X[i]],cate,+1);
        ofval[A[X[i]]].erase(X[i]);
        A[X[i]] = V[i];
        ofval[A[X[i]]].insert(X[i]);
        upd(1,1,cate,A[X[i]],cate,-1);
        baga_ult(oldval);
        baga_ult(newval);
        sol.push_back(aint[1]);
    }
    return sol;
}
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