This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
#define vc vector
#define pb push_back
#define fr first
#define sc second
#define Heh ios::sync_with_stdio(false) , cin.tie(0)
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("O2")
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("avx,avx2,fma")
const int MAXN = 1e6 + 16 , s = 1 << 20 , sq = 1.5e3 + 15.3;
int n , b[MAXN] , a[MAXN] , it[MAXN] , lis[MAXN] , ans;
set<int> lit[sq];
set<int>::iterator iter;
int segTree[s<<1] , lazy[s<<1];
inline void shift(int v){
segTree[v<<1] += lazy[v];
segTree[(v<<1)^1] += lazy[v];
lazy[v<<1] += lazy[v];
lazy[(v<<1)^1] += lazy[v];
lazy[v] = 0;
}
int get(int v , int tl , int tr){
if(tl == tr) return tl;
shift(v);
int mid = (tl + tr) >> 1;
if(segTree[(v<<1)^1] == 0) return get((v<<1)^1 , mid+1 , tr);
return get((v<<1) , tl , mid);
}
void upd(int v , int tl , int tr , int l , int r , int x){
if(l > tr or r < tl) return;
if(l <= tl and r >= tr){
segTree[v] += x;
lazy[v] += x;
return;
}
shift(v);
int mid = (tl + tr) >> 1;
upd(v<<1 , tl , mid , l , r , x);
upd((v<<1)^1 , mid+1 , tr , l , r , x);
segTree[v] = min(segTree[v<<1] , segTree[(v<<1)^1]);
}
void upd(int id){
set<int>::iterator iter = lit[lis[id]].lower_bound(id);
while(1){
if(iter != lit[lis[id]].end() and a[*iter] > a[id]){
int jd = *iter;
iter++;
lit[lis[id]].erase(jd);
lis[jd]++;
upd(jd);
}
else break;
}
lit[lis[id]].insert(id);
ans = max(ans , lis[id]);
}
int main(){
Heh;
for(int i = 0 ; i < (s<<1) ; i++) segTree[i] = MAXN;
cin >> n;
for(int i = 0 ; i < n ; i++){
int id;
cin >> id >> b[i];
id--;
segTree[s+i] = i-id;
}
for(int i = s-1 ; i >= 1 ; i--){
segTree[i] = min(segTree[i<<1] , segTree[(i<<1)^1]);
}
for(int i = 0 ; i < n ; i++){
int id = get(1 , 0 , s-1);
a[n-i-1] = b[id];
it[id] = n-i-1;
upd(1 , 0 , s-1 , id , n-1 , -1);
upd(1 , 0 , s-1 , id , id , MAXN);
}
for(int i = 0 ; i < n ; i++){
int id = it[i];
lis[id] = 1;
while(1){
iter = lit[lis[id]].lower_bound(id);
if(iter != lit[lis[id]].begin() and a[*(--iter)] < a[id]) lis[id]++;
else break;
}
upd(id);
cout << ans << endl;
}
}
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