#include <bits/stdc++.h>
#include "teams.h"
using namespace std;
#define Fi first
#define Se second
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define szz(x) (int)(x).size()
#define rep(i, n) for(int i=0;i<(n);i++)
typedef tuple<int, int, int> t3;
int rt[500050], tn;
int T[10000010], N;
int ch[10000010][2];
vector <int> bl[500050];
int Ins(int prt, int l, int r, int x) {
int me = ++tn;
T[me] = T[prt] + 1;
ch[me][0] = ch[prt][0];
ch[me][1] = ch[prt][1];
if(l != r) {
int m = (l + r) >> 1;
if(x <= m) ch[me][0] = Ins(ch[prt][0], l, m, x);
else ch[me][1] = Ins(ch[prt][1], m+1, r, x);
}
return me;
}
int read(int prt, int l, int r, int s, int e) {
if(s <= l && r <= e) return T[prt];
int m = (l + r) >> 1, res = 0;
if(s <= m) res += read(ch[prt][0], l, m, s, e);
if(m < e) res += read(ch[prt][1], m+1, r, s, e);
return res;
}
int Read(int x, int l, int r) {
return read(rt[x], 1, N, l, r);
}
void init(int N, int A[], int B[]) {
::N = N;
rt[0] = ++tn;
for(int i=0;i<N;i++) bl[A[i]].pb(B[i]);
for(int i=1;i<=N;i++) {
rt[i] = rt[i-1];
for(int r : bl[i]) {
rt[i] = Ins(rt[i], 1, N, r);
}
}
}
int dp[200020];
int can(int M, int K[]) {
sort(K, K+M, greater<>());
vector <pii> V;
V.pb({N+1, 0});
for(int i=0, s=0;i<M;i++) {
if(szz(V) && V.back().Fi == K[i]) V.back().Se += K[i];
else V.pb({K[i], K[i]});
s += K[i];
if(s > N) return 0;
}
vector <int> iv = {0};
vector <int> cv;
auto mp = [&](int xi, int yi) {
int xv = dp[xi], yv = dp[yi];
int low = 1, high = V[yi].Fi - 1, res = 0;
while(low <= high) {
int mid = (low + high) >> 1;
if(Read(mid, V[yi].Fi, V[xi].Fi - 1) < yv - xv) res = mid, low = mid + 1;
else high = mid - 1;
}
return res;
};
for(int i=1;i<szz(V);i++) {
auto [x, cnt] = V[i];
while(szz(cv) && cv.back() >= x) cv.pop_back(), iv.pop_back();
int j = iv.back();
dp[i] = dp[j] + Read(x, x, V[j].Fi - 1) - cnt;
if(dp[i] < 0) return 0;
while(szz(iv) && dp[i] < dp[iv.back()]) iv.pop_back(), cv.pop_back();
int p = mp(iv.back(), i);
while(szz(cv) && cv.back() >= p) {
iv.pop_back(); cv.pop_back();
p = mp(iv.back(), i);
}
iv.pb(i);
cv.pb(p);
}
return 1;
}
