#include "teams.h"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define ld long double
#define ull unsigned long long
#define ff first
#define ss second
#define pii pair<int,int>
#define pll pair<long long, long long>
#define vi vector<int>
#define vl vector<long long>
#define pb push_back
#define rep(i, b) for(int i = 0; i < (b); ++i)
#define rep2(i,a,b) for(int i = a; i <= (b); ++i)
#define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c)
#define count_bits(x) __builtin_popcountll((x))
#define all(x) (x).begin(),(x).end()
#define siz(x) (int)(x).size()
#define forall(it,x) for(auto& it:(x))
using namespace __gnu_pbds;
using namespace std;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());}
//ll los(ll a, ll b) {return a + (mt() % (b-a+1));}
const int INF = 1e9+50;
const ll INF_L = 1e18+40;
const ll MOD = 1e9+7;
struct seg
{
int l,r,Y;
};
struct node
{
int l = 0;
int r = (1 << 19)-1;
node* left = NULL;
node* right = NULL;
int sum = 0;
int get_sum(int l2, int r2)
{
if(l >= l2 && r <= r2) return sum;
if(l > r2 || r < l2) return 0;
return (left != NULL ? left -> get_sum(l2,r2) : 0) + (right != NULL ? right -> get_sum(l2,r2) : 0);
}
void add(int p, node* prev)
{
sum = (prev != NULL ? prev -> sum : 0)+1;
if(l == r) return;
if(p <= (l+r)/2)
{
if(prev != NULL) right = prev -> right;
left = new node;
left -> l = l;
left -> r = (l+r)/2;
left -> add(p,(prev != NULL ? prev->left : NULL));
}
else
{
if(prev != NULL) left = prev -> left;
right = new node;
right -> l = (l+r)/2+1;
right -> r = r;
right -> add(p,(prev != NULL ? prev->right : NULL));
}
}
};
node trees[500001];
int relR[500001];
int get_sum(int lL, int rL, int lR, int rR)
{
return trees[rL].get_sum(lR,rR) - trees[lL-1].get_sum(lR,rR);
}
void init(int n, int L[], int R[])
{
vector<pii> Rs;
rep(i,n)
{
Rs.pb({R[i],i});
}
sort(all(Rs));
int cur_R = 0;
int cur_Rs = 0;
rep2(i,1,n)
{
relR[i] = cur_R;
while(cur_Rs < siz(Rs) && Rs[cur_Rs].ff == i)
{
R[Rs[cur_Rs].ss] = cur_R++;
cur_Rs++;
}
}
vector<pii> elms;
rep(i,n)
{
elms.pb({L[i],R[i]});
}
sort(all(elms));
int cur_elm = 0;
rep2(i,1,n)
{
vi Y;
while(cur_elm < siz(elms) && elms[cur_elm].ff == i)
{
Y.pb(elms[cur_elm].ss);
cur_elm++;
}
node prev = trees[i-1];
node new_;
forall(it,Y)
{
new_.add(it,&prev);
swap(new_,prev);
}
trees[i] = prev;
}
}
vector<seg> segs;
vi K;
int can(int m, int k[])
{
K = {};
segs = {};
rep(i,m) K.pb(k[i]);
sort(all(K));
int prev = 0;
forall(it,K)
{
int R = relR[it];
int cur_l = prev+1;
int cur_r = it;
while(siz(segs) > 0)
{
if(segs.back().Y > R) break;
cur_l = segs.back().l;
segs.pop_back();
}
prev = it;
if(cur_l <= cur_r)
{
segs.pb({cur_l,cur_r,R});
}
int cur_have = 0;
while(true)
{
if(siz(segs) > 1 && segs.back().Y == segs[siz(segs)-2].Y)
{
segs.pop_back();
segs[siz(segs)-1].r = it;
}
int Rbor = (siz(segs) == 1 ? (1 << 19)-1 : segs[siz(segs)-2].Y-1);
int add = get_sum(segs.back().l,segs.back().r,segs.back().Y,Rbor);
if(cur_have+add >= it)
{
int l = segs.back().Y;
int r = Rbor;
int ans = l;
while(l <= r)
{
int mid = (l+r)/2;
if(cur_have+get_sum(segs.back().l,segs.back().r,segs.back().Y,mid) >= it)
{
ans = mid;
r = mid-1;
}
else
{
l = mid+1;
}
}
segs[siz(segs)-1].Y = ans+1;
break;
}
if(siz(segs) == 1) return 0;
cur_have += add;
segs.pop_back();
segs[siz(segs)-1].r = it;
}
}
return 1;
}
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