Submission #407447

#	Time	Username	Problem	Language	Result	Execution time	Memory
407447		534351	Izvanzemaljci (COI21_izvanzemaljci)	C++17	5 / 100	55 ms	7076 KiB

izvanzemaljci

#include <bits/stdc++.h>

using namespace std;

template<class T, class U>
void ckmin(T &a, U b)
{
    if (a > b) a = b;
}

template<class T, class U>
void ckmax(T &a, U b)
{
    if (a < b) a = b;
}

#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define SZ(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()

const int MAXN = 100013;
const int INF = 1e9 + 7;
const long long LLINF = 3e18;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;

int N, K;
vpl arr;
ll mnx = LLINF, mxx = -LLINF, mny = LLINF, mxy = -LLINF;

pair<pll, pll> calc(vpl v)
{
    ll lox = LLINF, hix = -LLINF, loy = LLINF, hiy = -LLINF;
    for (pll p : v)
    {
        ckmin(lox, p.fi);
        ckmax(hix, p.fi);
        ckmin(loy, p.se);
        ckmax(hiy, p.se);
    }
    return {{lox, hix}, {loy, hiy}};
}
pair<pll, pll> ok(ll c)
{
    //try smth containing top left.
    // cerr << "CHECKING " << c << endl;
    pair<pll, pll> res, box;
    vpl pts;
    FOR(i, 0, N)
    {
        if (arr[i].fi <= mnx + c && arr[i].se <= mny + c)
        {
            continue;
        }
        pts.PB(arr[i]);
    }
    // for (pll p : pts)
    // {
    //     cerr << p.fi << ' ' << p.se << endl;
    // }
    box = calc(pts);
    // cerr << box.fi.fi << ' ' << box.se.fi << ' ' << mnx + c << ' ' << mny + c << ' ' <<  max(box.fi.se - box.fi.fi, box.se.se - box.se.fi) << endl;
    if ((box.fi.fi > mnx + c || box.se.fi > mny + c) && max(box.fi.se - box.fi.fi, box.se.se - box.se.fi) <= c)
    {
        // cerr << "SHOULD WORK\n";
        return {{mnx, mny}, {box.fi.fi, box.se.fi}};
    }
    pts.clear();
    FOR(i, 0, N)
    {
        if (arr[i].fi >= mxx - c && arr[i].se <= mny + c)
        {
            continue;
        }
        pts.PB(arr[i]);
    }
    box = calc(pts);
    if ((box.fi.se < mxx - c || box.se.fi > mny + c) && max(box.fi.se - box.fi.fi, box.se.se - box.se.fi) <= c)
    {
        return {{mxx - c, mny}, {box.fi.se - c, box.se.fi}};
    }
    pts.clear();
    FOR(i, 0, N)
    {
        if (arr[i].fi <= mnx + c && arr[i].se >= mxy - c)
        {
            continue;
        }
        pts.PB(arr[i]);
    }
    box = calc(pts);
    if ((box.fi.fi > mnx + c || box.se.se < mny - c) && max(box.fi.se - box.fi.fi, box.se.se - box.se.fi) <= c)
    {
        return {{mnx, mxy - c}, {box.fi.fi, box.se.se - c}};
    }
    pts.clear();
    FOR(i, 0, N)
    {
        if (arr[i].fi >= mxx - c && arr[i].se >= mxy - c)
        {
            continue;
        }
        pts.PB(arr[i]);
    }
    box = calc(pts);
    if ((box.fi.se < mxx - c || box.se.se < mny - c) && max(box.fi.se - box.fi.fi, box.se.se - box.se.fi) <= c)
    {
        return {{mxx - c, mxy - c}, {box.fi.se - c, box.se.se - c}};
    }
    // cerr << "FAILED " << c << endl;
    return {{LLINF, LLINF}, {LLINF, LLINF}};
}

int32_t main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(4);
    cin >> N >> K;
    arr.resize(N);
    FOR(i, 0, N)
    {
        cin >> arr[i].fi >> arr[i].se;
    }
    auto e = calc(arr);
    mnx = e.fi.fi; mxx = e.fi.se;
    mny = e.se.fi; mxy = e.se.se;
    if (K == 1)
    {
        cout << mnx << ' ' << mny << ' ' << max(1ll, max(mxx - mnx, mxy - mny)) << '\n';
        return 0;
    }
    if (K == 2)
    {
        ll lo = 1, hi = max(mxx - mnx, mxy - mny);
        while(hi > lo)
        {
            ll mid = (hi + lo) >> 1;
            auto e = ok(mid);
            if (e.fi == MP(LLINF, LLINF)) lo = mid + 1;
            else hi = mid;
        }
        auto e = ok(lo);
        if (e.se.fi >= 10ll * INF)
        {
            e.se = {e.fi.fi + lo + 1, e.fi.se + lo + 1};
        }
        cout << e.fi.fi << ' ' << e.fi.se << ' ' << lo << '\n';
        cout << e.se.fi << ' ' << e.se.se << ' ' << lo << '\n';
        return 0;
    }
}

• Subtask 1: 5 / 5
• Subtask 2: 0 / 21
• Subtask 3: 0 / 12
• Subtask 4: 0 / 30
• Subtask 5: 0 / 32