Submission #121769

#TimeUsernameProblemLanguageResultExecution timeMemory
121769turbatSails (IOI07_sails)C++14
90 / 100
1082 ms2728 KiB
#include <bits/stdc++.h>
using namespace std;
#define N 100005
 
int n, mh;
long long  sum, cnt[N], s[N], ans, p, uld, avr;
pair <int, int> mast[N];
 
void solve (int l){
	if (l > mh) return;
	p = l;
	// cout << l<< endl;
	for (int i = l;i <= mh;i++){
		if((s[i] - s[l - 1]) * (p - l + 1) >= (s[p] - s[l - 1]) * (i - l + 1))
			p = i;
		if ((s[mh] - s[l - 1]) * (p - l + 1) <= (s[p] - s[l - 1]) * (i - l + 2))
			break;
	}	
	sum = s[p] - s[l - 1];
	avr = sum / (p - l + 1);
	uld = sum % (p - l + 1);
	ans += uld * avr;
	ans += (p - l + 1) * avr * (avr - 1) / 2;
	solve (p + 1);
}
 
int main (){
	ios_base::sync_with_stdio(NULL);
	cin.tie(NULL);
	cin >> n;
	for (int i = 0;i < n;i++){
		cin >> mast[i].first>> mast[i].second;
		mh = max(mh, mast[i].first);
		cnt[mast[i].first + 1]--;
		cnt[mast[i].first - mast[i].second + 1]++;
	}
	p = 1;
	for (int i = 1;i <= mh;i++) { 
		cnt[i] += cnt[i - 1];
		s[i] = s[i - 1] + cnt[i];
		if(s[i] * p >= s[p] * i)
			p = i;
	}
	avr = s[p] / p;
	uld = s[p] % p;
	ans += uld * avr;
	ans += p * avr * (avr - 1) / 2;
	solve (p + 1);
	cout << ans;
}
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