Submission #1288867

#TimeUsernameProblemLanguageResultExecution timeMemory
1288867thieunguyenhuyRoad Construction (JOI21_road_construction)C++20
100 / 100
2816 ms23764 KiB
#include <bits/stdc++.h>
using namespace std;

#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))

#define Int __int128
#define fi first
#define se second

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;

template <class T1, class T2> bool maximize(T1 &x, T2 y) {
	if (x < y) {
		x = y;
		return true;
	}
	return false;
}
template <class T1, class T2> bool minimize(T1 &x, T2 y) {
	if (x > y) {
		x = y;
		return true;
	}
	return false;
}

template <class T> void remove_duplicate(vector<T> &ve) {
	sort (ve.begin(), ve.end());
	ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
	return uniform_int_distribution<long long>(l, r)(rng);
}
unsigned long long random(unsigned long long l, unsigned long long r) {
	return uniform_int_distribution<unsigned long long>(l, r)(rng);
}
template <class T> T random(T r) {
	return rng() % r;
}

const int N = 1e6 + 5;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;

int n, k;
pll a[N];
vector<ll> ans;

ll getDist(int i, int j) {
	return max(abs(a[i].fi - a[j].fi), abs(a[i].se - a[j].se));
}

int count(ll maxDist) {
	// xj < xi, yj < yi -> xi + yi - (xj + yj) <= maxDist
	// xj < xi, yj > yi -> xi - yi - (xj - yj) <= maxDist

	set<pli> s; ans.clear();
	for (int i = 1, j = 1; i <= n; ++i) {
		while (!s.empty() && a[i].fi - a[j].fi > maxDist) {
			s.erase(make_pair(a[j].se, j));
			++j;
		}

		// cerr << j << ' ' << i << ' ' << a[i].fi << ' ' << a[j].se << ' ' << maxDist << '\n';

		// abs(a[i].se - it->fi) <= maxDist
		// a[i].se - maxDist <= it->fi <= a[i].se + maxDist
		auto it = s.upper_bound(make_pair(a[i].se - maxDist, -inf));
		while (it != s.end() && ans.size() < k && it->fi <= a[i].se + maxDist) {
			ans.emplace_back(getDist(i, it->se));
			// cerr << i << ' ' << it->se << '\n';
			it = next(it);
		}

		s.emplace(a[i].se, i);
	}

	return ans.size();
}

signed main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

	cin >> n >> k;

	for (int i = 1; i <= n; ++i) {
		int x, y; cin >> x >> y;
		a[i] = make_pair(x + y, x - y);
	}

	sort (a + 1, a + 1 + n);

	ll low = 0, high = 1e10, d = -1;
	while (low <= high) {
		ll mid = (low + high) >> 1;
		if (count(mid) < k) low = (d = mid) + 1;
		else high = mid - 1;
	}

	// cerr << d << '\n';

	// ll d = 3;
	count(d);
	while (ans.size() < k) ans.emplace_back(d + 1);
	sort (ans.begin(), ans.end());
	for (auto &x : ans) cout << x << '\n';
	return 0;
}
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