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;
using ll = long long;
using pii = pair<int, int>;
struct node{
int x, e;
};
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n; cin>>n;
vector<node> t(n + 1);
for (int i = 1; i <= n; i++){
cin>>t[i].x>>t[i].e;
}
auto cmp = [&](node a, node b){
return (a.e >= b.e);
};
sort(t.begin() + 1, t.end(), cmp);
vector<int> d(n + 1), s(n + 1);
for (int i = 1; i <= n; i++){
d[i] = t[i].e - t[i].x;
s[i] = t[i].e + t[i].x;
}
set<pii> s1, s2;
for (int i = 1; i <= n; i++){
s1.insert({d[i], i});
s2.insert({s[i], i});
}
int out = 0;
vector<bool> used(n + 1);
for (int i = 1; i <= n; i++){
if (used[i]) continue;
used[i] = true;
// xj <= xi and d[j] <= d[i]
// xj > xi and s[j] <= s[i]
auto it = s1.begin();
vector<int> rem;
while (it != s1.end()){
auto [a, j] = *it;
if (a > d[i]) break;
if (t[j].x > t[i].x){
it++;
continue;
}
rem.push_back(j);
it++;
}
it = s2.begin();
while (it != s2.end()){
auto [a, j] = *it;
if (a > s[i]) break;
if (used[j] || t[j].x < t[i].x){
it++;
continue;
}
rem.push_back(j);
it++;
}
for (int j: rem){
used[j] = true;
it = s1.find({d[j], j});
if (it != s1.end()) s1.erase(it);
it = s2.find({s[j], j});
if (it != s2.end()) s2.erase(it);
}
out++;
}
cout<<out<<"\n";
}
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