제출 #1295342

#제출 시각아이디문제언어결과실행 시간메모리
1295342danirasillaIzvanzemaljci (COI21_izvanzemaljci)C++20
5 / 100
3095 ms3556 KiB
#include <iostream>
#include <string>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <map>
#include <iterator>
#include <set>
#include <random>
#include <unordered_map>
#include <queue>
#include <cassert>
#include <stack>
#include <numeric>
#include <deque>


using namespace std;
typedef long long ll;
typedef long double ld;
const ll md1 = 1'000'000'000;
const ll md2 = 998244353;
const ll mdd = 666013;

vector<pair<pair<int, int>, int>> cdombi(vector<pair<pair<int, int>, int>>& a, vector<pair<pair<int, int>, int>>& b) {
	if (max(a[0].second, a[1].second) > max(b[0].second, b[1].second))
		return b;
	return a;
}

vector<pair<int, int>> a;
vector<pair<pair<int, int>, int>> getans;

bool check2(int l, int r, int k, int bou) {
	vector<pair<int, int>> an(r - l);
	for (int i = l; i < r; i++)
		an[i - l] = a[i];
	if (r - l == 1) {
		getans[0] = { {an[0].first, an[0].second}, 1 };
		getans[1] = { {md1 + 5, md1 + 5}, 1 };
		return true;
	}
	
	for (int II = 0; II < 2; II++) {
		vector<int> sx(r - l), sn(r - l);
		sx[r - l - 1] = an[r - l - 1].second;
		sn[r - l - 1] = an[r - l - 1].second;
		for (int i = r - l - 2; i > -1; i--) {
			sn[i] = min(sn[i + 1], an[i].second);
			sx[i] = max(sx[i + 1], an[i].second);
		}
		int mn = an[0].second;
		int mx = an[0].second;
		for (int i = 1; i < r - l; i++) {
			if (an[i - 1].first != an[i].first && an[i - 1].first - an[0].first <= k && mx - mn <= k && an[r - l - 1].first - an[i].first <= k && sx[i] - sn[i] <= k) {
				getans[0] = { {an[0].first, mn}, max(1, max(an[i - 1].first - an[0].first, mx - mn)) };
				getans[1] = { {an[i].first, sn[i]}, k };
				if (!II) {
					if (an[i].first - 2 - bou < k)
						continue;
					getans[0].first.first = min(an[0].first, an[i].first - 1 - k);
				}
				if (II) {
					swap(getans[0].first.first, getans[0].first.second);
					swap(getans[1].first.first, getans[1].first.second);
				}
				return true;
			}
			mn = min(mn, an[i].second);
			mx = max(mx, an[i].second);
		}

		for (int i = 0; i < r - l; i++)
			swap(an[i].first, an[i].second);
		sort(an.begin(), an.end());
	}
	return false;
}

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

	int t = 1;
	//cin >> t;
	while (t--) {
		
		int n, k;
		cin >> n >> k;
		a.resize(n);
		getans.resize(k);
		for (int i = 0; i < n; i++)
			cin >> a[i].first >> a[i].second;

		vector<int> xa(k, md1 + 1), ya(k, md1 + 1), l(k, 1);
		int ans = md1 * 2;
		l[0] = ans;
		xa[0] = -md1;
		ya[0] = -md1;
		for (int i = 1; i < k; i++)
			xa[i] = md1 + i * 2, ya[i] = md1 + 2 * i;

		for (int II = 0; II < 4; II++) {
			sort(a.begin(), a.end());

			vector<pair<pair<int, int>, int>> sufk1(n);
			sufk1[n - 1] = { {a[n - 1].first, a[n - 1].second }, 1 };
			{
				int mx = a[n - 1].first, nx = a[n - 1].first, my = a[n - 1].second, ny = a[n - 1].second;
				for (int i = n - 2; i > -1; i--) {
					mx = max(mx, a[i].first);
					nx = min(nx, a[i].first);
					my = max(my, a[i].second);
					ny = min(ny, a[i].second);
					sufk1[i] = { {nx, ny}, max(mx - nx, my - ny) };
				}
			}
			if (ans > sufk1[0].second) {
				ans = sufk1[0].second;
				l[0] = sufk1[0].second;
				xa[0] = sufk1[0].first.first;
				ya[0] = sufk1[0].first.second;
				for (int i = 1; i < k; i++)
					l[i] = 1, xa[i] = md1 + 2 * i, ya[i] = md1 + 2 * i;
			}

			if (k >= 2) {
				int ll = 0;
				int rr = ans;
				vector<pair<pair<int, int>, int>> anss(k);
				for (int i = 0; i < k; i++)
					anss[i] = { {xa[i], ya[i]}, l[i] };
				while (ll + 1 < rr) {
					int md = (ll + rr) / 2;

					bool ok = false;
					if (k == 2) {
						if (check2(0, n, md, -md1 * 2 - 1)) {
							ok = true;
							anss[0] = getans[0];
							anss[1] = getans[1];
						}
					}
					else {
						int xn = a[0].first, xx = a[0].first, yn = a[0].second, yx = a[0].second;
						int po = 0;
						while (po < n && xx - xn <= k && yx - yn <= k) {
							xn = min(xn, a[po].first);
							xx = max(xx, a[po].first);
							yn = min(yn, a[po].second);
							yx = max(yx, a[po].second);
							po++;
						}
						po--;
						if (check2(po, n, md, a[po - 1].first)) {
							ok = true;
							anss[0] = getans[0];
							anss[1] = getans[1];
							anss[2] = { { xn, yn}, md };
						}
					}
					if (ok)
						rr = md;
					else
						ll = md;
				}
				if (rr < ans)
					for (int i = 0; i < k; i++) {
						ans = rr;
						l[i] = anss[i].second;
						xa[i] = anss[i].first.first;
						ya[i] = anss[i].first.second;
					}
			}

			for (int i = 0; i < n; i++)
				a[i] = { a[i].second, -a[i].first };
			for (int i = 0; i < k; i++) {
				int tp = xa[i] + l[i];
				xa[i] = ya[i];
				ya[i] = -tp;
			}
		}
		for (int i = 0; i < k; i++)
			cout << xa[i] << " " << ya[i] << " " << l[i] << "\n";
	}
	return 0;
}
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