Submission #1315525

#TimeUsernameProblemLanguageResultExecution timeMemory
1315525vlomaczkRoad Construction (JOI21_road_construction)C++20
0 / 100
7940 ms71820 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
typedef long long ll;
using namespace __gnu_pbds;
using namespace std;

template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

struct Point {
	ll x, y;
};

ll M = 250'010;
vector<ll> cnt(M,1);
ll n;
ll inf = 1e18;

vector<Point> pkt;
ll base = 1<<18;
vector<vector<ll>> T(2*base); 
vector<ll> X;

void build() {
	for(ll i=0; i<n; ++i) X.push_back(pkt[i].x);
	sort(X.begin(), X.end());
	for(ll i=0; i<n; ++i) {
		ll idx = lower_bound(X.begin(), X.end(), pkt[i].x) - X.begin();
		ll x = idx+base;
		while(x>0) {
			T[x].push_back(pkt[i].y);
			x/=2;
		}
	}
	for(int i=1; i<2*base; ++i) sort(T[i].begin(), T[i].end());
}

int amount(vector<ll> &x, ll l, ll r) {
	return upper_bound(x.begin(), x.end(), r) - lower_bound(x.begin(), x.end(), l);
}

ll kwadrat(ll x, ll y, ll r) {
	ll a = lower_bound(X.begin(), X.end(), x-r) - X.begin();
	ll b = upper_bound(X.begin(), X.end(), x+r) - X.begin() - 1;
	a += base-1;
	b += base+1;
	ll res = 0;
	while(a/2 != b/2) {
		if(a%2==0) res += amount(T[a+1], y-r, y+r);
		if(b%2==1) res += amount(T[b-1], y-r, y+r);
		a/=2; b/=2;
	}
	return res;
}

ll find_nxt(ll i) {
	ll lo = 0;
	ll hi = 4e9;
	if(cnt[i]==n) return inf;
	while(lo < hi) {
		ll mid = (lo+hi)/2;
		if(kwadrat(pkt[i].x, pkt[i].y, mid) > cnt[i]) hi = mid;
		else lo = mid+1;
	}
	cnt[i]++;
	return lo;
}

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

	ll k;
	cin >> n >> k;
	pkt.resize(n);
	for(ll i=0; i<n; ++i) {
		ll x,y;
		cin >> x >> y;
		pkt[i] = {x+y,x-y};
	}
	build();
	priority_queue<pair<ll, ll>> pq;
	for(ll i=0; i<n; ++i) {
		pq.push({-find_nxt(i), i});
	}

	return 0;
}
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