This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl
#define debug2(x, y) debug(x), debug(y)
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end()
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))
template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
int n;
cin >> n;
vector<ld> a(n), b(n);
rep(i, n) cin >> a[i] >> b[i];
sort(all(a));
sort(all(b));
reverse(all(a));
reverse(all(b));
ld mn = 0.0;
int ind = 0, ind1 = 0;
ld sm = 0.0, sm1 = 0.0;
rep(i, 2 * n){
if(ind < n && ind1 < n){
if(sm < sm1){
sm += a[ind];
ind++;
}
else{
sm1 += b[ind1];
ind1++;
}
}
else if(ind < n){
sm += a[ind];
ind++;
}
else if(ind1 < n){
sm1 += b[ind1];
ind1++;
}
mn = max(mn, min((ld)(sm - (i + 1)), (ld)(sm1 - (i + 1))));
}
cout << fixed << setprecision(4) << mn << endl;
return 0;
}
/*
Things to look out for:
- Integer overflows
- Array bounds
- Special cases
Be careful!
*/
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