Submission #928574

#TimeUsernameProblemLanguageResultExecution timeMemory
928574ind1vSure Bet (CEOI17_sure)C++11
100 / 100
127 ms8448 KiB
#include <bits/stdc++.h>

using namespace std;

const int N = 1e5 + 5;

int n;
long double a[N], b[N];
long double sa[N], sb[N];

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n;
  for (int i = 1; i <= n; i++) {
    cin >> a[i] >> b[i];
    sa[i] = a[i] - 1;
    sb[i] = b[i] - 1;
  }
  sort(sa + 1, sa + n + 1, greater<long double>());
  sort(sb + 1, sb + n + 1, greater<long double>());
  long double lo = 0.0F, hi = 1e8;
  for (int ite = 1; ite <= 100; ite++) {
    long double mid = (lo + hi) * 0.5F;
    bool f = false;
    long double a = 0, b = 0;
    for (int x = 0, y = 0; x <= n; x++) {
      while (y + 1 <= n && a - (y + 1) >= mid) {
        y++;
        b += sb[y];
      }
      f |= (a - y >= mid && b - x >= mid);
      a += sa[x + 1];
    }
    if (f) {
      lo = mid;
    } else {
      hi = mid;
    }
  }
  cout << fixed << setprecision(4) << lo << '\n';
  return 0;
}
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