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;
#define pii pair<int,int>
#define F first
#define S second
pii a[100005];
int seg[200005];
int MX = 100001;
int n;
int pref[100005];
void upd(int pos,int val){
pos += MX;
seg[pos] = val;
pos /= 2;
while(pos){
seg[pos] = min(seg[pos*2],seg[pos*2+1]);
pos /= 2;
}
}
int query(int l,int r){
l += MX;
r += MX+1;
int res = 1000000000;
while(l < r){
if(l%2 == 1) res = min(res,seg[l++]);
if(r%2 == 1) res = min(res,seg[--r]);
l /= 2;
r /= 2;
}
return res;
}
signed main(){
cin >> n;
for(int i = 0; i < n; i++){
cin >> a[i].F >> a[i].S;
}
sort(a,a+n);
for(int i = 0; i < n; i++){
pref[a[i].F+1] --;
pref[a[i].F-a[i].S+1]++;
upd(a[i].F+1,pref[a[i].F+1]);
upd(a[i].F-a[i].S+1,pref[a[i].F-a[i].S+1]);
if(pref[a[i].F-a[i].S+1] != 1) continue;
else{
int x = a[i].F-a[i].S+1;
int l0 = 1,r0 = MX,l,r,mid;
l = 1,r = x;
while(l <= r){
mid = (l+r)/2;
if(query(mid,x) < 0){
l0 = mid;
l = mid+1;
}
else{
r = mid-1;
}
}
l = x,r = MX;
while(l <= r){
mid = (l+r)/2;
if(query(x,mid) < 0){
r0 = mid;
r = mid-1;
}
else{
l = mid+1;
}
}
pref[x]--;
pref[r0]++;
pref[l0]++;
pref[l0+r0-x]--;
upd(x,pref[x]);
upd(r0,pref[r0]);
upd(l0,pref[l0]);
upd(l0+r0-x,pref[l0+r0-x]);
}
}
long long ans = 0,cur = 0;
for(int i = 0; i < MX; i++){
cur += pref[i];
ans += (cur*(cur-1))/2;
}
cout << ans << endl;
}
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