//я так много думал, что опять попал
#include <bits/stdc++.h>
#define all(x) x.begin(),x.end()
#define pb push_back
#define ppb pop_back
#define pf push_front
#define ppf pop_front
#define f first
#define s second
#define left(v) v + v
#define right(v) v + v + 1
#define ub upper_bound
#define lb lower_bound
#define pll pair<ll, ll>
#define gay natural
//17 SEVENTEEN
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
typedef long long ll;
const long double Pi = acos(-1.0);
const ll dx[] = {0,0,1,-1};
const ll dy[] = {1,-1,0,0};
const ll N = (ll) 1e6 + 17;
const ll M = (ll) 5e3 + 69;
const ll inf = (ll) 1e14 + 3;
const ll mod = (ll) 1e9 + 7;
ll sq(ll x) { return x * x; }
ll zxc = 1;
double a[N], b[N];
void solve() {
ll n;
double ans = 0;
cin >> n;
for(ll 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);
double sum = a[1], mus = b[1];
ll i = 2, j = 2;
double cnt = 2;
ans = max(ans, min(a[1] - 2, b[1] - 2));
while(i <= n || j <= n) {
if((sum < mus && i <= n) || j > n)
cnt++, sum += a[i], i++, ans = max(ans, min(sum - cnt, mus - cnt));
else
cnt++, mus += b[j], j++, ans = max(ans, min(sum - cnt, mus - cnt));
// cout << sum << " " << mus << " " << cnt << " " << min(sum - cnt, mus - cnt) << "\n";
}
printf("%.4lf",(double)ans);
// cout << ans;
}
/*
3
1.7 2.4
1.2 10.1
12.3 2.1
*/
int main(/*Уверенно*/) {
ios_base::sync_with_stdio(0);
cin.tie(0);
/*
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
*/
// cin >> zxc;
while(zxc--) {
solve();
}
return 0;
}
// さよならさ いかなくちゃ
/*
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢀⣀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣅⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣽⣢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡍⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢢⣈⠫⢄⠀⠀⠀⠀⠀⠀⢀⡄⠂⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣷⡧⠀⠀⠀⠀⢀⠎⠀⠀⠀⢃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣣⠀⠀⠀⡎⠀⠀⠀⠀⠀⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⡄⠀⠁⠀⠀⠀⠀⠀⢰⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢰⠇⠀⠀⠀⠀⠀⡘⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣼⣿⣿⠿⣿⣿⣿⡿⢹⣿⣿⣿⣿⣿⣿⡽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠎⠦⡀⠀⠀⠀⢀⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢢⣿⡇⣼⣧⣶⣿⣿⣿⠁⢸⢿⣿⣿⣿⣿⣿⣷⡘⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⡙⠀⠑⢄⣀⠤⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣼⣿⣿⣿⣿⣿⣿⠀⠀⢛⣿⣿⣿⣿⣿⡿⣿⡬⠿⣾⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣻⡆⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠻⢿⣿⣿⣿⣿⣜⢿⣮⡙⠷⣦⣉⠓⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠤⠤⠤⣀⠀⠘⠀⠀⣿⢸⢿⣿⣿⣿⣿⣿⠘⢿⠈⠁⠐⠄⠙⢟⢿⣿⣿⣦⡵⣟⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠑⠆⠀⠀⣿⠀⣿⣿⣿⣿⣿⣿⣀⣬⣧⣖⣢⠄⠀⠀⠀⠈⠑⠈⠹⠿⠋⠘⣿⣿⣿⡆⣿⣿⣿⡏⡧⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢿⠀⢹⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢮⠴⢃⣿⣿⣿⣿⣷⡟⣿⣿⣿⣿⣿⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠸⡆⡄⢿⣿⣿⣿⣿⣿⡻⢄⠙⢿⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢻⣿⣿⣿⢈⣷⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠐⠹⣵⠀⣿⣿⣿⣿⣿⢿⠦⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⢦⣿⣿⣿⣿⣿⣮⣆⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢣⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⣤⡤⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⢀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⣾⠇⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⣸⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣢⢄⠀⠀⢀⣤⣶⣿⢟⣿⣿⣿⣿⠰⢸⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢡⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⣰⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⣫⢻⡿⠛⢁⢾⣿⣿⣿⡇⠇⡜⠀⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣻⡈⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⡠⠔⠁⠀⠀⠀⣰⡟⠀⠀⣟⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠛⠻⢗⠏⠏⢸⢇⢠⠟⣾⣿⣿⣿⣱⠊⠀⠀⡿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠁⠀⠀⠀⠀⢀⡾⠋⠀⠀⣸⠇⣿⣹⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠸⢻⠋⢸⣿⣿⣿⢿⠃⠀⠀⠀⣇⠗⢿⡇⢹⣿⣿⢿⣿⣿⣿⣿⣏⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠛⠁⠀⠀⢠⡟⢀⣿⣿⣿⣿⣿⡟⣄⠀⠀⠀⠀⢠⣴⣧⣤⣄⣠⠣⣀⣿⣿⣿⣟⠎⠀⠀⠀⠀⣽⠀⠘⣿⠊⠫⡺⣷⣌⠉⡿⢿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⢀⡠⣾⣁⣼⣿⣿⣿⢹⣿⡇⠈⠑⠂⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠇⡜⠘⡄⠀⠹⣧⠀⠈⠪⢙⢻⠷⠦⠿⣿⡄⠀⠀
⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣀⠔⣒⣵⣾⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⡇⠀⠀⠀⠀⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢋⡼⠔⠀⠉⢄⡀⠙⣧⠀⣀⡴⠉⠉⠉⠉⠹⣷⡀⠀
⠀⠈⢏⣷⣮⣕⠢⠀⠀⠀⠀⢠⠞⢀⠔⢉⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣸⠃⠀⠠⠃⠀⠀⠀⢐⡨⠋⠀⣗⡄⢸⣿⣿⡿⡿⣿⡿⢣⠊⠀⠀⠀⠀⠀⠈⠑⠚⠻⣿⣄⣀⡀⠀⢀⣠⣿⣗⡀
⠀⠀⠀⢻⣿⣿⣿⣄⢂⠀⢠⣟⠔⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⠏⣀⠞⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⠀⢸⣿⣟⠀⢣⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠊⢸⣿⡝
⠀⠀⠀⠀⢻⣿⣿⣿⣆⢃⢸⡏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢸⣿⡟⠀⠸⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷
⠀⠀⠀⠀⠀⢻⣿⣿⣿⡞⡔⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠘⠻⡼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⣿
⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠑⠌⠢⠀⣀⣀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢸⣿
⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣰⣿⣿⣯⣆⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠈⣏⠻⢿⣿⣿⣿⣿⣿⣿⡇⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠆⠀⢀⣠⢰⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⢸⡟
⠀⠀⠀⠀⠀⠀⠀⠀⢸⢇⠈⢿⣿⣿⣿⣿⣿⠁⢀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡈⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⢁⡟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠆⠈⢿⣿⣿⣿⡇⠀⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡎⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣰⣏⣀⣊⣀⣀
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
67 ms |
1816 KB |
Output is correct |
18 |
Correct |
71 ms |
1852 KB |
Output is correct |
19 |
Correct |
68 ms |
1820 KB |
Output is correct |
20 |
Correct |
69 ms |
1792 KB |
Output is correct |
21 |
Correct |
73 ms |
1880 KB |
Output is correct |
22 |
Correct |
66 ms |
1856 KB |
Output is correct |
23 |
Correct |
68 ms |
1884 KB |
Output is correct |
24 |
Correct |
68 ms |
1900 KB |
Output is correct |
25 |
Correct |
69 ms |
1880 KB |
Output is correct |
26 |
Correct |
86 ms |
1800 KB |
Output is correct |