#include "wall.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#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)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
int pct(int x) { return __builtin_popcount(x); }
int bit(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
template<class A, class B> str ts(pair<A,B> p);
template<class A> str ts(complex<A> c) { return ts(mp(c.real(),c.imag())); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(char c) { str s = ""; s += c; return s; }
str ts(str s) { return s; }
str ts(const char* s) { return (str)s; }
str ts(vector<bool> v) {
bool fst = 1; str res = "{";
F0R(i,sz(v)) {
if (!fst) res += ", ";
fst = 0; res += ts(v[i]);
}
res += "}"; return res;
}
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class T> str ts(T v) {
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
return "("+ts(p.f)+", "+ts(p.s)+")"; }
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << to_string(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 42
#endif
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
/**
* Description: 1D range update and query. Set SZ to a power of 2.
* Source: USACO Counting Haybales
* Verification: SPOJ Horrible
*/
template<class T, int SZ> struct LazySeg {
T mx[2*SZ], mn[2*SZ];
LazySeg() { F0R(i,2*SZ){ mx[i] = 0; mn[i] = MOD; }}
void pull(int ind) { mx[ind] = max(mx[2*ind], mx[2*ind+1]); mn[ind] = min(mn[2*ind], mn[2*ind+1]);}
void build() { ROF(i,1,SZ) pull(i); }
void updmn(int pos, T val, int ind=1,int L=0, int R=SZ-1) {
if (pos < L || R < pos) return;
if (L == R && pos == L) {
mn[ind] = val; return; }
int M = (L+R)/2;
updmn(pos, val, 2*ind,L,M); updmn(pos, val,2*ind+1,M+1,R);
pull(ind);
}
void updmx(int pos, T val, int ind=1,int L=0, int R=SZ-1) {
if (pos < L || R < pos) return;
if (L == R && pos == L) {
mx[ind] = val; return; }
int M = (L+R)/2;
updmx(pos, val, 2*ind,L,M); updmx(pos, val,2*ind+1,M+1,R);
pull(ind);
}
pair<int, pi> qjump(int curmn = MOD, int curmx = 0, int ind = 1, int L = 0, int R = SZ-1){
//return leftmost point in interval that works
if(max(curmx, mx[ind]) <= min(curmn, mn[ind])) return mp(L, mp(min(curmn, mn[ind]), max(curmx, mx[ind])));
if(L == R) return mp(MOD, mp(min(curmn, mn[ind]), max(curmx, mx[ind])));
int M = (L+R)/2;
pair<int, pi> rans = qjump(curmn, curmx, 2*ind+1, M+1, R);
if(rans.f == M+1){
pair<int, pi> oans = qjump(min(curmn, mn[2*ind+1]), max(curmx, mx[2*ind+1]), 2*ind, L, M);
if(oans.f == MOD){
return rans;
}
return oans;
}
else{
return rans;
}
}
};
LazySeg<int,524288> lseg;
vector<pair<pi, int>> st[2000005]; //time, operation type, height
vector<pair<pi, int>> en[2000005];
void buildWall(int n, int k, int op[], int left[], int right[], int height[], int finalHeight[]){
lseg.build();
for(int i = 1; i <= k; i++){
st[left[i-1]].pb(mp(mp(i, op[i-1]), height[i-1]));
en[right[i-1]+1].pb(mp(mp(i, op[i-1]), height[i-1]));
}
for(int i = 0; i < n; i++){
if((i != 0) && (sz(st[i]) == 0) && (sz(en[i]) == 0)){
finalHeight[i] = finalHeight[i-1];
}
//process st
for(auto u: st[i]){
if(u.f.s == 1){
//adding
lseg.updmx(u.f.f, u.s);
}
else{
//removing
lseg.updmn(u.f.f, u.s);
}
}
//process en
for(auto u: en[i]){
if(u.f.s == 1){
//adding
lseg.updmx(u.f.f, 0);
}
else{
//removing
lseg.updmn(u.f.f, MOD);
}
}
//process query
pair<int, pi> res = lseg.qjump();
dbg(i, res);
int ind = res.f-1;
int lo = res.s.s;
int hi = res.s.f;
dbg(i, lo, hi);
if(ind <= 0){
finalHeight[i] = lo;
}
else if(lseg.mx[ind+524288] == 0){
finalHeight[i] = lo;
}
else{
finalHeight[i] = hi;
}
}
return;
}
