제출 #321864

#제출 시각아이디문제언어결과실행 시간메모리
321864Karen124Sure Bet (CEOI17_sure)C++14
100 / 100
138 ms5228 KiB
#pragma GCC optimize("O2")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
     
using namespace std;
     
#define ll long long int 
#define F first
#define S second
#define pb push_back
 
const ll N = 1e5 + 10;
const ll LOG = 20;
const ll MOD = 1e9 + 7;
const ll INF = 1e9 + 10;
int n;
long double a[N], b[N], ans = 0;
long double f(int i, int j){
    return min(a[i] - (long double)j, b[j] - (long double)i);
}
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n;
    for(int i = 1; i <= n; i++){
		cin >> a[i] >> b[i];
		a[i] -= 1.0; b[i] -= 1.0;
	}
    sort(a + 1, a + n + 1);
    reverse(a + 1, a + n + 1);
	sort(b + 1, b + n + 1);
	reverse(b + 1, b + n + 1);
    for(int i = 1; i <= n; i++){
		a[i] += a[i - 1];
		b[i] += b[i - 1];
	}
    for (int i = 0; i <= n; i++){
        int l = 0, r = n;
        while (l + 1 <= r){
            int mid = (l + r) / 2;
            if (f(i, mid) < f(i, mid + 1)) l = mid + 1;
            else r = mid;
        }
        ans = max(ans, f(i, r));
    }
    cout << fixed << setprecision(4) << ans << '\n';
    return 0;
}
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