Cod sursa(job #1694665)

Utilizator akaprosAna Kapros akapros Data 25 aprilie 2016 19:19:53
Problema Rubarba Scor 100
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.08 kb
#include <bits/stdc++.h>
#define x first
#define y second
#define pii pair < int, int >
#define ld long double
#define maxN 100002
using namespace std;
ifstream f ("rubarba.in");
ofstream g ("rubarba.out");

int i,n;
ld x, y, s, c, mx, Mx, my, My, m, l, r;
pii v[maxN];

ld ok(ld u)
{
    int i;
    mx = my = 1e9;
    Mx = My = -1e9;
    for(i = 1; i <= n; ++ i)
    {
        s = sin(u);
        c = cos(u);
        x = v[i].x * c - v[i].y * s;
        y = v[i].x * s + v[i].y * c;
        mx = min(mx, x);
        Mx = max(Mx, x);
        my = min(my, y);
        My = max(My, y);
    }
    return (Mx - mx) * (My - my);
}
void read()
{
    f >> n;
    for(i = 1; i <= n; ++ i)
        f >> v[i].x >> v[i].y;
}
void solve()
{
    l = 0;
    r = 2 * atan(1);
    for(i = 1; r - l > 1e-17; ++ i)
    {
        m = (l + r) / 2.0;
        if (ok(m + 1e-17) < ok(m))
            l = m;
        else r = m;
    }
}
void write()
{
    g << fixed << setprecision(2) << ok(l);
}
int main()
{
    read();
    solve();
    write();
    return 0;
}