This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define fr first
#define sc second
#define clr(a) memset(a, 0, sizeof(a))
#define sz(x) x.size()
#define printvector(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define REP(i, n) for (int i = 0; i < n; i++)
#define FOR(i, x, y) for (int i = x; i < y; i++)
#define DEC(i, x, y) for (int i = x; i >= y; i--)
#define all(v) v.begin(), v.end()
#define min3(a, b, c) min(a, min(b, c))
#define max3(a, b, c) max(a, max(b, c))
#define alla(a, n) a, a + n
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) (a * b)/gcd(a, b)
#define int long long int
#define ull unsigned long long
#define printarray(arr, n) for(int i= 0;i<n;i++) cout<<arr[i]<<' '; cout<<endl;
#define printvecpairs(vec) for(auto it: vec) cout<<it.fr<<' '<<it.sc<<endl;
#define initdp(a) memset(a, -1, sizeof(a));
#define endl '\n'
#define float long double
using namespace std;
const int MOD = 1e9 + 7;
const int INF = 2e15;
const int MAXN = 1e5 + 5;
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n;
cin>>n;
vector<long double> a, b;
for(int i = 0;i<n;i++){
long double t1, t2;
cin>>t1>>t2;
a.pb(t1);
b.pb(t2);
}
sort(all(a));
reverse(all(a));
sort(all(b));
reverse(all(b));
int i= 0;
int j= 0;
long double suma = 0;
long double sumb = 0;
long double ans = (long double)-INF;
while(i < n || j < n){
if(i == n){
sumb += b[j];
j++;
int taken = i+ j;
ans = max(ans, min(suma, sumb)-(long double)taken);
continue;
}
if(j == n){
suma += a[i];
i++;
int taken = i+ j;
ans = max(ans, min(suma, sumb)-(long double)taken);
continue;
}
if(sumb > suma){
suma += a[i];
i++;
int taken = i+ j;
ans = max(ans, min(suma, sumb)-(long double)taken);
} else if(sumb < suma){
sumb += b[j];
j++;
int taken = i+ j;
ans = max(ans, min(suma, sumb)-(long double)taken);
} else {
if(b[j] > a[i]){
sumb += b[j];
j++;
int taken = i+ j;
ans = max(ans, min(suma, sumb)-(long double)taken);
} else {
suma += a[i];
i++;
int taken = i+ j;
ans = max(ans, min(suma, sumb)-(long double)taken);
}
}
}
ans = max(ans, (long double)0);
cout<<fixed<<setprecision(4)<<ans<<endl;
return 0;
}
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