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/*Author: KawakiMeido*/
#include "wall.h"
#include <bits/stdc++.h>
#define pb push_back
#define endl "\n"
#define ll long long
#define all(x) (x).begin(),(x).end()
#define pii pair<int,int>
#define fi first
#define se second
using namespace std;
/*Constants*/
const int N = 5e5+10;
const int INF = 1e9+7;
const long long LLINF = 1e18+3;
/*Global Variables*/
//int n,k;
//int id[N], l[N], r[N], height[N], finalHeight[N];
//SEGG
struct SegmentTree{
vector<int> mx;
vector<int> mn;
vector<pii> lazyup;
vector<pii> lazylow;
SegmentTree(int n){
mx.resize(4*n+10);
mn.resize(4*n+10);
lazyup.resize(4*n+10);
lazylow.resize(4*n+10);
for (int i=1; i<=4*n+5; i++){
lazyup[i] = {INF,0};
lazylow[i] = {0,0};
mx[i] = 0;
mn[i] = 0;
}
};
void PropMX(int idx, pii val){
lazyup[idx] = min(val,lazyup[idx]);
if (val < lazylow[idx]){
lazylow[idx] = {0,0};
}
mx[idx] = min(mx[idx],val.fi);
mn[idx] = min(mn[idx],val.fi);
}
void PropMN(int idx, pii val){
if (val > lazyup[idx]){
lazyup[idx] = {INF,0};
}
lazylow[idx] = max(lazylow[idx],val);
mx[idx] = max(mx[idx],val.fi);
mn[idx] = max(mn[idx],val.fi);
}
void Propagate(int idx){
pii upbound = lazyup[idx];
pii lowbound = lazylow[idx];
lazyup[idx] = {INF,0};
lazylow[idx] = {0,0};
for (int i=0; i<=1; i++){
if (upbound.se>lowbound.se){
PropMN(idx*2+i,lowbound);
PropMX(idx*2+i,upbound);
}
else{
PropMN(idx*2+i,lowbound);
PropMX(idx*2+i,upbound);
}
}
}
void Update(int idx, int l, int r, int x, int y, pii val, int id){
if (r<x || y<l) return;
if (x<=l && r<=y){
if (id == 1) PropMN(idx, val);
else PropMX(idx, val);
return;
}
int mid = (l+r)/2;
Propagate(idx);
Update(idx*2,l,mid,x,y,val,id);
Update(idx*2+1,mid+1,r,x,y,val,id);
mx[idx] = max(mx[idx*2],mx[idx*2+1]);
mn[idx] = min(mn[idx*2],mx[idx*2+1]);
}
pii Get(int idx, int l, int r, int x){
if (r<x || x<l) return make_pair(0,INF);
if (l==r) return make_pair(mx[idx],mn[idx]);
int mid = (l+r)/2;
Propagate(idx);
pii tmp1 = Get(idx*2,l,mid,x), tmp2 = Get(idx*2+1,mid+1,r,x);
return make_pair(max(tmp1.fi,tmp2.fi),min(tmp1.se,tmp2.se));
}
};
/*Solution*/
void buildWall(int n, int k, int id[], int l[], int r[], int height[], int finalHeight[]){
//signed main(){
// cin >> n >> k;
// for (int i=0; i<k; i++){
// cin >> id[i] >> l[i] >> r[i] >> height[i];
// }
SegmentTree ST(n);
for (int i=0; i<k; i++){
ST.Update(1,0,n-1,l[i],r[i],make_pair(height[i],i),id[i]);
}
for (int i=0; i<n; i++){
pii tmp = ST.Get(1,0,n-1,i);
finalHeight[i] = tmp.fi;
}
// for (int i=0; i<n; i++){
// cout << finalHeight[i] << " ";
// }
// return 0;
//}
}
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