#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#define ll long long
#define INFI (ll)1000000000000000000
struct segTree{
ll l; ll r;
segTree *lc, *rc;
pair<ll, ll> mx;
pair<ll, ll> mn;
ll lazy;
segTree(ll st){
l = r = st;
lc = rc = nullptr;
mx = mn = {0, st};
lazy = 0;
}
segTree(segTree * le, segTree * ri){
lc = le; rc = ri;
mx = max(lc->mx, rc->mx);
mn = min(lc->mn, rc->mn);
lazy = 0;
l = le->l;
r = ri->r;
}
};
segTree * build (ll l, ll r){
if(l == r) return new segTree(l);
return new segTree(build(l, (l+r)/2), build((l+r)/2 + 1, r));
}
void update(ll l, ll r, ll x, segTree*st){
st->mn.first += st->lazy;
st->mx.first += st->lazy;
if(st->l != st->r){
st->lc->lazy += st->lazy;
st->rc->lazy += st->lazy;
}
st->lazy = 0;
if(st->l == st->r){
st->mn.first += x;
st->mx.first += x;
st->lazy = 0;
return;
}
if(st->l == l && st->r == r){
st->lc->lazy += x;
st->rc->lazy += x;
st->mn.first += x;
st->mx.first += x;
st->lazy = 0;
return;
}
ll mid = (st->l + st->r)/2;
if(l<=mid) update(l, min(r, mid), x, st->lc);
if(r>mid) update(max(mid+1, l), r, x, st->rc);
st->mn = min(st->lc->mn, st->rc->mn);
st->mx = max(st->lc->mx, st->rc->mx);
}
pair<ll, ll> query(ll md, ll l, ll r, segTree * st){
st->mn.first += st->lazy;
st->mx.first += st->lazy;
if(st->l != st->r){
st->lc->lazy += st->lazy;
st->rc->lazy += st->lazy;
}
st->lazy = 0;
if(st->l == st->r){
if(md == 0) return st->mn;
else return st->mx;
}
ll mid = (st->l + st->r)/2;
if(md == 0){
pair<ll, ll> ans = {INFI, INFI};
if(l <= mid) ans = min(ans, query(md, l, min(r, mid), st->lc));
if(r > mid) ans = min(ans, query(md, max(l, mid+1), r, st->rc));
return ans;
}
//if(md == 1){
pair<ll, ll> ans = {-INFI, -INFI};
if(l <= mid) ans = max(ans, query(md, l, min(r, mid), st->lc));
if(r > mid) ans = max(ans, query(md, max(l, mid+1), r, st->rc));
return ans;
//}
}
ll findMaxInd(ll c, segTree * st, pair<ll, ll> minR, pair<ll, ll> maxR){
st->mn.first += st->lazy;
st->mx.first += st->lazy;
if(st->l != st->r){
st->lc->lazy += st->lazy;
st->rc->lazy += st->lazy;
}
st->lazy = 0;
if(st->l == st->r){
return st->l;
}
if(max(maxR, st->rc->mx).first - min(st->rc->mn, minR).first >= c){
return findMaxInd(c, st->rc, minR, maxR);
}
return findMaxInd(c, st->lc, min(minR, st->rc->mn), max(maxR, st->rc->mx));
}