#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct LazySegTree
{
int N;
vector<int> add, rem;
LazySegTree(int n) : N(n), add(4 * n), rem(4 * n, 2E9) {}
void apply(int u, int h, bool flag) // flag = true if adding
{
if (flag)
add[u] = max(add[u], h), rem[u] = max(rem[u], add[u]);
else
rem[u] = min(rem[u], h), add[u] = min(add[u], rem[u]);
}
void propagate(int u)
{
apply(u * 2, add[u], true);
apply(u * 2, rem[u], false);
apply(u * 2 + 1, add[u], true);
apply(u * 2 + 1, rem[u], false);
rem[u] = 2E9;
add[u] = 0;
}
void update(int l, int r, int h, bool flag) { update(1, N, l, r, 1, h, flag); }
void update(int l, int r, int L, int R, int u, int h, bool flag)
{
if (R < l || r < L)
return;
if (L <= l && r <= R)
apply(u, h, flag);
else
{
int m = (l + r) / 2;
propagate(u);
update(l, m, L, R, u * 2, h, flag);
update(m + 1, r, L, R, u * 2 + 1, h, flag);
}
}
int query(int at) { return query(at, 1, N, 1); }
int query(int at, int l, int r, int u)
{
if (l == r)
return add[u];
int m = (l + r) / 2;
propagate(u);
if (at <= m)
return query(at, l, m, u * 2);
else
return query(at, m + 1, r, u * 2 + 1);
}
};
void buildWall(int n, int k, int op[], int left[], int right[], int height[], int finalHeight[])
{
LazySegTree seg(n);
for (int i = 0; i < k; ++i)
seg.update(left[i] + 1, right[i] + 1, height[i], op[i] == 1);
for (int i = 0; i < n; ++i)
finalHeight[i] = seg.query(i + 1);
}
/*****************************=
-+**********************************=
:-*****************************************+:
..:*************+=+*******************************=.
..-==*****************+=-+*****************************+.
..-=***********************+--+****************************=
:+**************#*#**********+--+***************************- .=--=.
.+*********************#*********+--****************************++++----:
-+***********************##*********--+********************************+--=.
=****=**********************#*********+-=***************************#*****+--=
.=****+***********************************-=*********************#*****##*****=-=.
:=*****=************************************=-*****************#******#####*****=-=.
.=**+***=**************************#**********==***********##*******#**######*****+-=.
+***=***+***************************#**********-+*****####********#*****#####******+-=:
=+**=****+****************#**********************-*####*********##***#*#######*******+-=.
.=*#*=****=****************#***********#**********++#*********###****#*#*######********+-=.
=**#++****=***#******#******#***********#**********=*******####****##**#########********=-=
.=*##=****#=***#*******#*****#*#*********#*#********+****#####****###**#*######%#*********-==
-*###=**###+*#*#######*##*######*######**##########*#*####*....-#########%##%##%##########=-*.
=*###+######+############################################=..+=-+.########%##%##%##########*-+*
+###*+######**#################%##########%###########%#*..=-+===-######%###+##%###########-+#.
.+###**#######+###%############%#%#########%###########%#...=*:.=:.#####%#%%#+##%###########=+#+
.-+#%#**#######%=###%#############%%######%#%%##########*...+===+...####%%%%% *%%############=+##
.=*#%#*+#######%%+##%%###########%#%%%######%%#%########=...====+..####%%%%%: *%%############=*##
.+*#*##+###%###%%%%##%%##########*##%%%####%%%#%#######%*=-..====:####%%%%%= #%%############=###-
.+*#=#-=#####%#%%%####%%%########+*###%%%##%%%#%#######%*==:==+-.*##%%%%%%+ #%%###########*=###+
:=##=#-+####%%#%%%#**##%%%#######+++#*+%*%%%%%#%%########=.-=....##%%%%%%*....%%%#####%#####+=####-
.#*.#--*#####%#%%#****##%%#####+-===#+=**+%%%#%%########=......+%%%%%%%+ %%######%#####=*####.
#* *+.*####%%%%%#++++- :*%%###+.....--..*==#%%%########==-:::=%%%%%%%- %%######%#####=#####.
-# .%.=####%%%%%#++=*......:##*.......-..-==%%%#####%##=#%%%%%%%%%%# #%######%####*=###%#
*. +-.####%%%%%%===.=....-:.*#...........-=%%%#######*==*@%%%%%%%* #%######%####+*###%#
*.:###%%%%%%-.....=......*:...........-%%%######%+*==*#%%%%%# +%######%####=####%#.
=.=###%%%%%:.............:............#*%%####*#*=====%@%%% :%#####%%####+######:
.=%##%%%%%*.............:............#*%%####+#+======%#%* .:-=%%%%%%%%###+#####+#-
.%%##%%%-*-..............::::.......#+%%####+#=====-...#: :*%%%%%%%%%%%%%%%%###*#####=#=
.####%%%:.:-.......--...............#=#%###+*#====-...:*%%%%%%%%%%%%%%%%%%%%%%########:#+
*-#%#%%- -..........:----........:*=#%##%=*+=====#%%%%%%%%%%%%%%%%%%%%%%%%%%########:#*
=*.%%%%= .:........:::..........=.=####+=#=*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###.*#
#..%%%#. -....................-:+###%*%@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*#
+- :%%%#+ =..................===%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#:.
.#. =%% .*= -.............:+#%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+.
.* *%- .-........:*%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%@%%%%%%#.
.=. ## ..-:..:#%%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%@%%%:
..=*- .*@@@@@%%%%%%%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-.
#@%%%%%%%%%%%%%%%%%%%@%%%@@@@@@@@@@@@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*:.
*@%%%%%%%%%%%%%%%%%%%%%@@@%@@@@%%%%%@@@@@@@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%=:
:@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%@@@@@@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#:
.%@%%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%%%%@@@@@@@@@@@@@%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%:
.-%@%%%%%%%@@%%%%%%%%%%%%%%@@@@@@@@@@@%%%%%%%%%%%%@@@@@%%%%%%%%%%%%%%%%%%%%%%%%%%%%@-
..#%@%%%%%@%%%%%%%%%%%%@@@@@@@@@@%%%%%%%%%%%%%%%%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%%%%%:
.%@%%%%@%%%%%%%%%%%@@@@@@@@@%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%::
.:@@%@%%%%%%%%%%%%@@@@@@@@%%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%@@@%%%%%%%%%%%%%%%%%%-::
.*@%%%%%%%%%%%%%@@@@@@@@@%%%%%%%%%@%%%%%%%%%%%%%%%%%%%%%%@%%@@%%%%%%%%%%%%%%%%@=:
-@%@@@@@@@@@@@@@@@@@@%@%%%%%%@@%@@%%%%@@@%%%%%%%%%%%%%%%%%%%%@@@%@@@@@@@@@@@@@+:
%@@@@@@@@@@@@@@@@@@@@%%%%%%@@@@@%%%%%@@@@%%%%%%%%%%%%%%%%%%%%%@@@@@@@@@@@@@@@+-
*@@@@@@@@@@@@@@@@@@%%%%%%%%@@@@%%%%%@@@@@@%%%%%%%%%%%%%%%%%@%%%@@@@@@@@@@@@@@#-
:%@@@@@@@@@@@@@@@@%%%%%%%%@@@@%%%%@@@@@@@@%%%%%%%%%%%%%%%%%@%%%%@@@@@@@@@@@@*%-
:#@@@@@@@@@@@@@%%%%%%%%%@@@@%%%%%@@@@@@@@@%%%%%%%%%%%%%%%%%@%%%@@@@@@@@@@@+-%*
:-@@@@@@@@@%%%%%%%%%%%@@@@@%%%%@@@@@@@@@@%%%%%%%%%%%%%%%%%@@%%%@@@@@@@@@#--*%
:=@@@@@@%%%%%%%%%%%@%@@@@%%%@@@@@@@@@@@@%%%%%%%%%%%%%%%%%@@%%%@@@@@@@%%---%+
-:-@@@@%%%%%%%%@%%%@@%@@@%%%@@@@@@@@@@@@@%%%%%%%%%%%%%%%%%@@@%%@@@@@%%%%=--*%
-=@@@%%%%%%%%%@@%%@@%@@@@%%@@@@@@@@@@@@@@@%%%%%%%%%%%%%%%%@@@%%%@@%%%%%%+--=%+
-=@@%%%%%%%%%%@@%%@@%%@@@@%@@@@@@@@@@@@@@@@@%%%%%%%%%%%%%%%%@@@%%@##%%%%%#---*%-
-+@%%%%%%%%%%%@@@%@@%%@@@@@%@@@@@@@@@@@@@@@@@%%%%%%%%%%%%%%%%@@@@%@##%%%%%%====%*/
