Broken car race

#include <bits/stdc++.h>

using namespace std;

using ll = long long;

struct Vector
{
    ll x, y;

    Vector():
        x(0),
        y(0)
    {
    }

    Vector(Vector start, Vector finish):
        x(finish.x - start.x),
        y(finish.y - start.y)
    {
    }
};

ll cross(Vector a, Vector b)
{
    return a.x * b.y - a.y * b.x;
}

int main()
{
    ios_base::sync_with_stdio(false);

    ll n;
    cin >> n;

    vector<Vector> points(n);
    for (auto &it : points)
        cin >> it.x >> it.y;

    for (ll i = 1; i < n; i++)
        if (points[i].x < points[0].x || points[i].y < points[0].y)
            swap(points[0], points[i]);

    auto start = points[0];
    sort(points.begin() + 1, points.end(), [start](auto lhs, auto rhs) {
        return cross(Vector(start, lhs), Vector(start, rhs)) > 0;
    });

    vector<Vector> hull;
    hull.push_back(points[0]);

    for (ll i = 1; i < (ll)points.size(); i++)
    {
        while ((hull.size() >= 2) && (cross(Vector(hull[hull.size() - 2], hull[hull.size() - 1]), Vector(hull[hull.size() - 1], points[i])) < 0))
            hull.pop_back();
        hull.push_back(points[i]);
    }

    if (hull.size() < 4)
    {
        cout << "NO\n";
        return 0;
    }

    cout << "YES\n";

    for (int i = 0; i < 4; i++)
        cout << hull[i].x << ' ' << hull[i].y << '\n';

    return 0;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: WRONG ANSWER

Test 26

Verdict: WRONG ANSWER

Test 27

Verdict: WRONG ANSWER

Test 28

Verdict: WRONG ANSWER