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>
using namespace std;
#define int long long
#ifdef evenvalue
#include "debug.h"
#else
#define debug(...)
#endif
using int64 = long long;
using ld = long double;
template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
namespace Read {
int Int() {
int x;
cin >> x;
return x;
}
int64 Int64() {
int64 x;
cin >> x;
return x;
}
char Char() {
char c;
cin >> c;
return c;
}
string String() {
string s;
cin >> s;
return s;
}
double Double() {
return stod(String());
}
ld LongDouble() {
return stold(String());
}
template<typename T1, typename T2>
pair<T1, T2> Pair() {
pair<T1, T2> p;
cin >> p.first >> p.second;
return p;
}
template<typename T>
vector<T> Vec(const int n) {
vector<T> v(n);
for (T &x : v) {
cin >> x;
}
return v;
}
template<typename T>
vector<vector<T>> VecVec(const int n, const int m) {
vector<vector<T>> v(n);
for (vector<T> &vec : v) {
vec = Vec<T>(m);
}
return v;
}
}//namespace Read
constexpr int kInf = 1e9 + 10;
constexpr int64 kInf64 = 1e15 + 10;
constexpr int kMod = 1e9 + 7;
constexpr int kMaxN = 1e5 + 10;
constexpr int kScale = 10000;
inline void solution() {
const int n = Read::Int();
vector<int> a(n);
vector<int> b(n);
for (int i = 0; i < n; i++) {
a[i] = round(Read::Double() * kScale);
b[i] = round(Read::Double() * kScale);
}
sort(a.rbegin(), a.rend());
sort(b.rbegin(), b.rend());
auto check = [&](const int profit) -> bool {
int64 bought = 0;
int64 second = 0, first = 0;
for (int i = 0, j = 0; min(first, second) - bought < profit and (i < n or j < n);) {
if (i != n and first == min(first, second)) {
first += a[i++];
} else if (j != n) {
second += b[j++];
} else {
break;
}
bought += kScale;
}
return min(first, second) - bought >= profit;
};
int lo = 0, hi = kMaxN * 1000 * kScale;
while (lo < hi) {
const int mid = (lo + hi + 1) / 2;
if (check(mid)) {
lo = mid;
} else {
hi = mid - 1;
}
}
cout << (ld)lo / kScale << '\n';
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//freopen("sure/sure.02.07.in", "r", stdin);
//freopen(".out", "w", stdout);
cout << fixed << setprecision(4);
int testcases = 1;
//cin >> testcases;
while (testcases--) {
solution();
}
}
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