#include "teams.h"
#include <bits/stdc++.h>
#define F first
#define S second
#define V vector
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7, N = 5e5 + 7;
int n;
int l[N], r[N];
vi p, rp;
struct node {
node *l, *r;
int cnt;
node() { l = r = nullptr; cnt = 0; }
node (node *_l, node *_r) {
l = _l, r = _r;
cnt = (l ? l -> cnt : 0) + (r ? r -> cnt : 0);
}
};
vi ev[N];
node* h[N];
node* lc(node* t) { return t ? t -> l : nullptr; }
node* rc(node* t) { return t ? t -> r : nullptr; }
int ct(node* t) { return t ? t -> cnt : 0; }
node* upd(node* t, int pos, int tl = 0, int tr = n) {
if(tr - tl == 1) {
node* tt = new node();
tt -> cnt = 1;
return tt;
}
int tm = (tl + tr) / 2;
if(pos < tm) return new node(upd(lc(t), pos, tl, tm), rc(t));
else return new node(lc(t), upd(rc(t), pos, tm, tr));
}
int qry(node* t, int lb, int rb, int tl = 0, int tr = n) {
if(!t) return 0;
if(lb <= tl && tr <= rb) return t -> cnt;
int tm = (tl + tr) / 2;
int ans = 0;
if(lb < tm) ans += qry(t -> l, lb, rb, tl, tm);
if(rb > tm) ans += qry(t -> r, lb, rb, tm, tr);
return ans;
}
int find_who(node* x, node* y, int cnt, int tl = 0, int tr = n) {
assert(ct(y) - ct(x) > cnt);
if(tr - tl == 1) return tl;
int tm = (tl + tr) / 2;
if(ct(lc(y)) - ct(lc(x)) > cnt)
return find_who(lc(x), lc(y), cnt, tl, tm);
else
return find_who(rc(x), rc(y), cnt - (ct(lc(y)) - ct(lc(x))), tm, tr);
}
void init(int _n, int _l[], int _r[]) {
n = _n;
for(int i = 0; i < n; i++)
l[i] = _l[i], r[i] = _r[i];
p = vi(n); iota(ALL(p), 0);
sort(ALL(p), [&] (int x, int y) {
return r[x] < r[y];
});
for(int i = 0; i < n; i++)
rp.PB(r[p[i]]);
for(int i = 0; i < n; i++)
ev[l[p[i]]].PB(i);
for(int i = 1; i <= n; i++) {
h[i] = h[i - 1];
for(int j:ev[i])
h[i] = upd(h[i], j);
}
}
struct seg {
int r, hi;
};
int can(int m, int a[]) {
if(accumulate(a, a + m, 0LL) > n) return 0;
sort(a, a + m);
V<seg> stk;
stk.PB({0, n});
for(int i = 0; i < m; i++) {
int j = lower_bound(ALL(rp), a[i]) - rp.begin();
while(stk.back().hi < j) {
assert(SZ(stk));
stk.pop_back();
}
int need = a[i], at_least = j;
while(need && SZ(stk)) {
int lb = stk.back().r, rb = a[i]; // (lb, rb]
int cnt = qry(h[rb], at_least, stk.back().hi) - qry(h[lb], at_least, stk.back().hi);
if(cnt < need) {
at_least = stk.back().hi;
stk.pop_back();
need -= cnt;
} else if(cnt == need) {
at_least = stk.back().hi;
stk.pop_back();
stk.PB({a[i], at_least});
need -= cnt;
break;
} else {
int dead = qry(h[rb], 0, at_least) - qry(h[lb], 0, at_least);
int who = find_who(h[lb], h[rb], need + dead);
stk.PB({a[i], who});
break;
}
}
if(stk.empty()) return 0;
}
return 1;
}
