#include "wall.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mod 1000000007
#define h1 7897897897897897
#define h2 7897466719774591
#define b1 98762051
#define b2 98765431
#define inf 1000000000
#define pi 3.1415926535897932384626
#define LMAX 9223372036854775807
#define ll long long
#define fi first
#define se second
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vl vector<ll>
#define vp vector<pii>
#define SET(a, b) memset(a, b, sizeof(a))
#define all(x) (x).begin(), (x).end()
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (a); i >= (b); i--)
//max, min, current mode
struct node {
int max, min;
} lazy[8000005], upd;
int seg[8000005];
int ans[2000005];
void merge(node b, node& a) { //update a with b
a.max = min(max(a.max, b.max), b.min);
a.min = min(max(a.min, b.max), b.min);
}
void pushdown(int id, int l, int r) {
seg[id] = max(seg[id], lazy[id].max);
seg[id] = min(seg[id], lazy[id].min);
if (l != r) {
merge(lazy[id], lazy[id * 2]);
merge(lazy[id], lazy[id * 2 + 1]);
}
lazy[id].max = 0;
lazy[id].min = inf;
}
void update(int id, int l, int r, int ql, int qr) {
pushdown(id, l, r);
if (ql > r || qr < l) return;
if (ql <= l && r <= qr) {
merge(upd, lazy[id]);
pushdown(id, l, r);
return;
}
int mid = (l + r) >> 1;
update(id * 2, l, mid, ql, qr);
update(id * 2 + 1, mid + 1, r, ql, qr);
}
void query(int id, int l, int r) {
pushdown(id, l, r);
if (l == r) {
ans[l] = seg[id];
return;
}
int mid = (l + r) >> 1;
query(id * 2, l, mid);
query(id * 2 + 1, mid + 1, r);
}
void buildWall(int n, int k, int op[], int left[], int right[], int height[], int finalHeight[]){
FOR(i, 0, k-1) {
left[i]++;
right[i]++;
if (op[i] == 1) {
upd = {height[i], inf};
update(1, 1, n, left[i], right[i]);
} else {
upd = {0, height[i]};
update(1, 1, n, left[i], right[i]);
}
}
query(1, 1, n);
FOR(i, 0, n-1) finalHeight[i] = ans[i+1];
return;
}
