Dissonância quadrática

#include <bits/stdc++.h>
#define fi first
#define se second
#define eps 1e-9
#define eq(a, b) (a == b)
#define lt(a, b) (a < b)
using namespace std;

using i64 = long long;
using ld = float;

ld a, b, c, d;

ld get_hx(ld x) {
  return max(
    x * x + a * x + b,
    x * x + c * x + d
  );
}

int main() {
  cin.tie(0)->sync_with_stdio(0);

  cin >> a >> b >> c >> d;

  if (eq(a, c)) {
    ld x = (ld)-a/2;

    if (lt(get_hx(-c/2), get_hx(x))) x = -c/2;

    cout << x << ' ' << get_hx(x) << '\n';

    return 0;
  }

  ld x = (ld)(d - b) / (a - c);

  if (lt(get_hx(-a/2), get_hx(x))) {
    x = (ld)-a/2;
  }

  if (lt(get_hx(-c/2), get_hx(x))) {
    x = (ld)-c/2;
  }

  cout << x << ' ' << get_hx(x) << '\n';
}