This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Bismillahir-Rahmanir-Rahim
#include <bits/stdc++.h>
using namespace std;
#define flash ios_base::sync_with_stdio(0),cin.tie(0)
#define pb push_back
#define ll long long
#define ld long double
#define dbg(x) cerr << #x << " = " << x << "\n";
#define ff first
#define ss second
/*
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma comment (linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
*/
const long long INF = 1e9 + 7;
const long long MOD = 1e9 + 7;
const int maxn = 1e5 + 10;
int n;
double a[maxn], b[maxn], ans, x, y, sz;
void press_F_() {
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> a[i] >> b[i];
}
sort(a + 1, a + n + 1);
sort(b + 1, b + n + 1);
reverse(a + 1, a + n + 1);
reverse(b + 1, b + n + 1);
int id1 = 0, id2 = 0;
while(id1 <= n || id2 <= n) {
if (max(min(x + a[id1 + 1] - (sz + 1), y - (sz + 1)), 0.0) >= max(min(x - (sz + 1), y + b[id2 + 1] - (sz + 1)), 0.0)) {
id1++;
x += a[id1];
sz++;
} else {
id2++;
y += b[id2];
sz++;
}
ans = max(ans, min(x - sz, y - sz));
}
printf("%.4lf",(double)ans);
}
int main() {
flash;
// srand(time(0));
int T = 1;
// cin >> T;
for (int i = 1; i <= T; i++) {
// cout << "Case" << " " << i << ':' << "\n";
press_F_();
}
//Respa gold 2023-2024 InshAllah
return 0;
}
/*
Maybe not today and tomorrow, but InshAllah one day I will reach expert
*/
// g++ -std=c++17 main.cpp
// ./a.out
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