#include "teams.h"
#pragma GCC optimize("Ofast")
#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, ev[N];
namespace pseg {
const int MX = 1e7;
int l[MX], r[MX], cnt[MX], h[N], sz = 1;
void pull(int u) {
cnt[u] = cnt[l[u]] + cnt[r[u]];
}
int upd(int t, int pos, int tl = 0, int tr = n) {
if(tr - tl == 1) {
cnt[sz] = 1;
return sz++;
}
int u = sz++;
l[u] = l[t], r[u] = r[t];
int tm = (tl + tr) / 2;
if(pos < tm) l[u] = upd(l[t], pos, tl, tm);
else r[u] = upd(r[t], pos, tm, tr);
pull(u);
return u;
}
int qry(int t1, int t2, int ql, int qr, int tl = 0, int tr = n) {
if(!t1 && !t2) return 0;
if(ql <= tl && tr <= qr) return cnt[t2] - cnt[t1];
int tm = (tl + tr) / 2;
int ans = 0;
if(ql < tm) ans += qry(l[t1], l[t2], ql, qr, tl, tm);
if(qr > tm) ans += qry(r[t1], r[t2], ql, qr, tm, tr);
return ans;
}
int find_who(int t1, int t2, int need, int tl = 0, int tr = n) {
assert(cnt[t2] - cnt[t1] > need);
if(tr - tl == 1) return tl;
int tm = (tl + tr) / 2;
if(cnt[l[t2]] - cnt[l[t1]] > need) return find_who(l[t1], l[t2], need, tl, tm);
else return find_who(r[t1], r[t2], need - (cnt[l[t2]] - cnt[l[t1]]), 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++)
ev[l[p[i]]].PB(i);
for(int i = 1; i <= n; i++) {
pseg::h[i] = pseg::h[i - 1];
for(int j:ev[i])
pseg::h[i] = pseg::upd(pseg::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, j = 0; i < m; i++) {
int need = 0, ii = i;
while(i < m && a[i] == a[ii]) need += a[i++];
i--;
while(j < n && r[p[j]] < a[i]) j++;
while(stk.back().hi < j) {
assert(SZ(stk));
stk.pop_back();
}
int at_least = j;
while(need && SZ(stk)) {
int lb = stk.back().r, rb = a[i]; // (lb, rb]
int cnt = pseg::qry(pseg::h[lb], pseg::h[rb], 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 = pseg::qry(pseg::h[lb], pseg::h[rb], 0, at_least);
int who = pseg::find_who(pseg::h[lb], pseg::h[rb], need + dead);
stk.PB({a[i], who});
break;
}
}
if(stk.empty()) return 0;
}
return 1;
}
