#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
//
// Created by adavy on 3/14/2023.
//
//
// Created by adavy on 1/31/2023.
//
// My Header
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using db = double;
using str = string; // yay python!
using ii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vii = vector<ii>;
using vpl = vector<pl>;
using vpd = vector<pd>;
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
tcT> using PR = pair<T,T>;
// pairs
#define mp make_pair
#define f first
#define s second
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
#define len(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pb push_back
#define eb emplace_back
#define pf push_front
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18; // not too close to LLONG_MAX
const ld PI = acos((ld)-1);
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1}; // for every grid problem!!
struct nd{
ll mn=0, mx=INF;
nd(){};
nd(ll mn, ll mx){
this->mn = mn; this->mx = mx;
}
void operator+=(const nd& other){
this->mn = min(max(this->mn, other.mn),other.mx);
this->mx = min(max(this->mx, other.mn),other.mx);
}
};
void buildWall(int n, int k, int op[], int left[], int right[], int height[], int finalHeight[]){
ll segsize = floor(1<<(int)(log2(n)+1));
//cout << segsize << endl;
vector<nd> seg(2*segsize);
function<void(int, int, int)> pushdown = [&](int rt, int tl, int tr){
if (tl != tr){
seg[2*rt] += seg[rt]; seg[2*rt+1] += seg[rt]; seg[rt] = nd();
}
};
function<void(nd, int, int, int, int, int)> update
= [&](nd Nd, int l, int r, int rt, int tl, int tr){
if (r < tl || l > tr) return;
if (l==tl && tr==r){seg[rt] += Nd; return;}
pushdown(rt, tl, tr);
int tm = (tl+tr)/2;
update(Nd, l, min(r, tm), 2*rt, tl, tm);
update(Nd, max(l, tm+1), r, 2*rt+1, tm+1, tr);
};
F0R(i, k){
if (op[i]==1) {
update(nd(height[i],INF),left[i],right[i],1,0,segsize-1);
}
else {
update(nd(0,height[i]),left[i],right[i],1,0,segsize-1);
}
}
F0R(i, segsize) pushdown(i, 0, segsize-1);
FOR(i, segsize, segsize+n) finalHeight[i-segsize] = seg[i].mn;
}
/*
10 6
1 1 8 4
2 4 9 1
2 3 6 5
1 0 5 3
1 2 2 5
2 6 7 0
*/
