#include "wall.h"
#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
#define all(x) x.begin(), x.end()
#define f(i,a,b) for(int i = (a); i <= (b); i++)
#define fd(i,a,b) for(int i = (a); i >= (b); i--)
#define mp make_pair
#define faster_io() ios_base::sync_with_stdio(false)
#define pb push_back
#define pii pair<int,int>
#define SZ(x) ((int)x.size())
#define TRACE(x) cout << #x << " = " << x << "\n";
#define vii vector<pair<int,int>>
const ll INFLL = 100000000000000000;
// --------------------------------------------------------------------------
const int RIGHT = (1<<21);
const int SIZE = (1<<22)+5;
int D[SIZE], U[SIZE];
int N, K;
void combine(int n, int d, int u)
{
D[n] = max(D[n], u);
D[n] = min(D[n], d);
U[n] = max(U[n], u);
U[n] = min(U[n], d);
}
void process(int n, char t, int h)
{
if(t == 'd')
{
D[n] = min(D[n], h);
U[n] = min(U[n], h);
}
if(t == 'u')
{
D[n] = max(D[n], h);
U[n] = max(U[n], h);
}
}
void update(int l, int r, char t, int h, int n, int a, int b)
{
if(a > r || b < l) return;
if(a >= l && b <= r)
{
process(n,t,h);
return;
}
combine(2*n, D[n], U[n]);
combine(2*n+1, D[n], U[n]);
D[n] = SIZE, U[n] = 0;
int mid = (a+b) / 2;
update(l,r,t,h,2*n,a,mid);
update(l,r,t,h,2*n+1,mid+1,b);
}
void complete()
{
f(i,1,RIGHT-1)
{
combine(2*i, D[i], U[i]);
combine(2*i+1, D[i], U[i]);
}
}
void buildWall(int n,int k,int op[],int left[],int right[],int height[],int finalHeight[]){
N=n,K=k;
f(i,1,K)
{
int id, l, r, h;
id=op[i-1],l=left[i-1],r=right[i-1],h=height[i-1];
char t = id==1 ? 'u' : 'd';
update(l+1,r+1,t,h,1,1,RIGHT);
}
complete();
f(i,RIGHT,RIGHT+N-1) finalHeight[i-RIGHT]=min(D[i],U[i]);
}
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