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Submission #514944

# Submission time Handle Problem Language Result Execution time Memory
514944 2022-01-18T21:17:26 Z AugustinasJucas Circle selection (APIO18_circle_selection) C++14
37 / 100
 3000 ms 895272 KB 
#include <bits/stdc++.h>
#pragma GCC optimize ("O2") 
using namespace std;
const long long inf = 2.1e9 + 1;
const long long dydis = (3e5+1);
int n, m, v, ind;
long long x, y, kur, R;
int dbInd = 0, mInd = 0;
vector<int> allX;
vector<int> l, r, ml, mr;
vector<long long> treeVals;
vector<vector<long long> > base;
vector<pair<pair<int, int>, pair<int, long long> > > mas;
bitset<dydis> circleRemoved;
bitset<(4 * 21 * dydis)> removed;
vector<pair<int, int> > kurYra[dydis];
vector<int> rightmost;
vector<int> sz;
vector<int> tevas;
int by[dydis];
vector<int> unique(vector<int> &a) {
	vector<int> ret;
	sort(a.begin(), a.end());
	for(auto &x : a){
		if(ret.size() == 0 || ret.back() != x) ret.push_back(x); 
	}
	return ret;
}
int m1, m2;
void build(int v) {
	if(v >= m){
		l[v] = r[v] = dbInd++;
		ml[v] = mInd;
		for(auto x : base[l[v]]) {
			treeVals[mInd++] = x;
		}
		mr[v] = mInd-1;
	}else {
		build(v*2);
		build(v*2+1);
		
		l[v] = l[v*2];
		r[v] = r[v*2+1];
		ml[v] = mInd;
		
		m1 = ml[v*2];
		m2 = ml[v*2+1];
		while(true) {
			if(m1 == mr[v*2]+1 && m2 == mr[v*2+1]+1) break;
			if(m1 == mr[v*2]+1) {
				treeVals[mInd++] = treeVals[m2++];
			}else if(m2 == mr[v*2+1]+1){
				treeVals[mInd++] = treeVals[m1++];
			}else if(treeVals[m1] <= treeVals[m2]){
				treeVals[mInd++] = treeVals[m1++];
			}else {
				treeVals[mInd++] = treeVals[m2++];
			}
		}
		mr[v] = mInd-1;
	}
	for(int i = ml[v]; i <= mr[v]; i++) {
		kurYra[treeVals[i]%dydis].push_back({v, i});
	}
}
int vec[dydis]; 
int id = 0, ret;
int fP(int v) {
	id = 0;
	while(true) {
		vec[id++] = v;
		ret = v;
		if(tevas[v] == v) break;
		v = tevas[v];
	}
	for(int i = 0; i < id; i++) tevas[vec[i]] = ret;
	return ret;
}
void conn(int a, int b) {
	a = fP(a);
	b = fP(b);
	if(sz[a] < sz[b]) swap(a, b); 
	tevas[b] = a;
	sz[a] += sz[b];
	rightmost[a] = max(rightmost[a], rightmost[b]);
}
void remove(int ind){
	if(circleRemoved[ind]) return ;
	circleRemoved[ind] = 1;
	int i;
	for(auto &x : kurYra[ind]) {
		v = x.first;
		i = x.second;
		removed[i] = 1;
		if(i-1 >= ml[v] && removed[i-1]) {
			conn(i-1, i);
		}
		if(i+1 <= mr[v] && removed[i+1]) {
			conn(i+1, i);
		}
	}
}
 
void print(int v) {
	if(v < m){
		print(v*2);
		print(v*2+1);
	}
	cout << "v = " << v << ", [" << l[v] << "; " << r[v] << "], atitinkamas masyvas: ["; 
	for(int i = ml[v]; i <= mr[v]; i++) {
		if(removed[i]) continue;
		cout << "(y=" << treeVals[i]/dydis << ", i=" << treeVals[i]%dydis << ")";
		if(i != mr[v]) cout << ", ";
	}
	cout << "]\n";
}
long long X1, Y1, R1, X2, Y2, R2;
bool kertasi (int i, int j) {
	X1 = mas[i].second.first; Y1 = mas[i].second.second; R1 = mas[i].first.first;
	X2 = mas[j].second.first; Y2 = mas[j].second.second; R2 = mas[j].first.first;
	return (X1 - X2) * (X1 - X2) + (Y1 - Y2) * (Y1 - Y2) <= (R1 + R2) * (R1 + R2);
}
int beg;
bitset<dydis> selected;
int selList[dydis];
int selInd = 0;
void find(int v, int L, int R, long long down, long long up){
	if(L <= l[v] && r[v] <= R) {
		beg = lower_bound(treeVals.begin() + ml[v], treeVals.begin() + mr[v] + 1, 1ll * down * dydis) - treeVals.begin();
		for(int i = beg; i <= mr[v]; i++) {
			if(treeVals[i] / dydis > up) break;
			if(removed[i]) {
				i = rightmost[fP(i)];
				continue;
			}
			if(!selected[treeVals[i]%dydis]) {
				selected[treeVals[i]%dydis] = 1;
				selList[selInd++] = treeVals[i]%dydis;
			}
		}
		
	}else if(r[v] < L || R < l[v]) {
		
	}else{
		find(v*2, L, R, down, up);
		find(v*2+1, L, R, down, up);
	}
}
int main(){
	cin.tie(NULL);
	ios_base::sync_with_stdio(false);
	treeVals.resize(4 * 21 * dydis);
	l.resize(4 * dydis);
	r.resize(4 * dydis);
	ml.resize(4 * dydis);
	mr.resize(4 * dydis);
	rightmost.resize(4 * 21 * dydis);
	sz.resize(4 * 21 * dydis);
	tevas.resize(4 * 21 * dydis);
	for(int i = 0; i < (int) tevas.size(); i++) {
		tevas[i] = i;
		sz[i] = 1;
		rightmost[i] = i;
	}
	cin >> n;
	for(int i = 0; i < n; i++) {
		cin >> x >> y >> R;
		swap(x, y);
		y += inf;
		mas.push_back({{R, -i}, {x, y}});
	}
		
	sort(mas.begin(), mas.end());
	reverse(mas.begin(), mas.end());
	for(auto &x : mas) x.first.second *= -1;
	
	for(int i = 0; i < n; i++) {
		allX.push_back(mas[i].second.first-mas[i].first.first);
		allX.push_back(mas[i].second.first+mas[i].first.first);
	}
	allX = unique(allX);
	base.resize(allX.size());
	m = allX.size();
	
	for(int i = 0; i < n; i++) {
		x = mas[i].second.first;
		y = mas[i].second.second;
		R = mas[i].first.first;
		
		kur = lower_bound(allX.begin(), allX.end(), x+R) - allX.begin();
		base[kur].push_back(1ll*(y-R)*dydis + i);
		base[kur].push_back(1ll*(y+R)*dydis + i);
		
		kur = lower_bound(allX.begin(), allX.end(), x-R) - allX.begin();
		base[kur].push_back(1ll*(y-R)*dydis + i);
		base[kur].push_back(1ll*(y+R)*dydis + i);
	}
	
	for(auto &x : base) sort(x.begin(), x.end());
	
	build(1);
	long long L, R, ll, rr;
	for(int i = 0; i < n; i++) {
		if(circleRemoved[i]) continue;
		L = mas[i].second.first - mas[i].first.first;
		R = mas[i].second.first + mas[i].first.first;
		ll = lower_bound(allX.begin(), allX.end(), L) - allX.begin();
		rr = lower_bound(allX.begin(), allX.end(), R) - allX.begin();
		selInd = 0;
		find(1, ll, rr, mas[i].second.second - mas[i].first.first, mas[i].second.second + mas[i].first.first);
		for(int j = 0; j < selInd; j++){
			selected[selList[j]] = 0;
			if(!kertasi(i, selList[j])) continue;
			remove(selList[j]);
			by[mas[selList[j]].first.second] = mas[i].first.second;
		}
	}
	for(int i = 0; i < n; i++) {
		cout << by[i] + 1 << " ";
	}
	return 0;
}
/*
5
0 0 3
5 -2 2
5 0 1
1 1 1
1 -3 1
 
 11
9 9 2
13 2 1
11 8 2
3 3 2
3 12 1
12 14 1
9 8 5
2 8 2
5 2 1
14 4 2
14 14 1 
 
 
 
*/

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 519312 KB Output is correct
2 Correct 204 ms 519264 KB Output is correct
3 Correct 207 ms 519264 KB Output is correct
4 Correct 220 ms 519316 KB Output is correct
5 Correct 221 ms 519228 KB Output is correct
6 Correct 210 ms 519348 KB Output is correct
7 Correct 211 ms 519364 KB Output is correct
8 Correct 224 ms 519308 KB Output is correct
9 Correct 214 ms 519364 KB Output is correct
10 Correct 205 ms 519368 KB Output is correct
11 Correct 204 ms 519380 KB Output is correct
12 Correct 220 ms 519316 KB Output is correct
13 Correct 202 ms 519284 KB Output is correct
14 Correct 203 ms 519372 KB Output is correct
15 Correct 224 ms 519312 KB Output is correct
16 Correct 214 ms 519936 KB Output is correct
17 Correct 221 ms 520000 KB Output is correct
18 Correct 207 ms 519972 KB Output is correct
19 Correct 229 ms 522960 KB Output is correct
20 Correct 228 ms 522896 KB Output is correct
21 Correct 241 ms 522832 KB Output is correct
22 Correct 233 ms 522696 KB Output is correct
23 Correct 225 ms 522728 KB Output is correct
24 Correct 226 ms 522748 KB Output is correct
25 Correct 238 ms 522756 KB Output is correct
26 Correct 226 ms 522652 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3126 ms 895272 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 205 ms 519236 KB Output is correct
2 Correct 1243 ms 638440 KB Output is correct
3 Execution timed out 3129 ms 874948 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3128 ms 874400 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 519312 KB Output is correct
2 Correct 204 ms 519264 KB Output is correct
3 Correct 207 ms 519264 KB Output is correct
4 Correct 220 ms 519316 KB Output is correct
5 Correct 221 ms 519228 KB Output is correct
6 Correct 210 ms 519348 KB Output is correct
7 Correct 211 ms 519364 KB Output is correct
8 Correct 224 ms 519308 KB Output is correct
9 Correct 214 ms 519364 KB Output is correct
10 Correct 205 ms 519368 KB Output is correct
11 Correct 204 ms 519380 KB Output is correct
12 Correct 220 ms 519316 KB Output is correct
13 Correct 202 ms 519284 KB Output is correct
14 Correct 203 ms 519372 KB Output is correct
15 Correct 224 ms 519312 KB Output is correct
16 Correct 214 ms 519936 KB Output is correct
17 Correct 221 ms 520000 KB Output is correct
18 Correct 207 ms 519972 KB Output is correct
19 Correct 229 ms 522960 KB Output is correct
20 Correct 228 ms 522896 KB Output is correct
21 Correct 241 ms 522832 KB Output is correct
22 Correct 233 ms 522696 KB Output is correct
23 Correct 225 ms 522728 KB Output is correct
24 Correct 226 ms 522748 KB Output is correct
25 Correct 238 ms 522756 KB Output is correct
26 Correct 226 ms 522652 KB Output is correct
27 Correct 278 ms 526344 KB Output is correct
28 Correct 256 ms 526480 KB Output is correct
29 Correct 252 ms 526380 KB Output is correct
30 Correct 273 ms 526072 KB Output is correct
31 Correct 263 ms 526100 KB Output is correct
32 Correct 258 ms 526140 KB Output is correct
33 Correct 1158 ms 644000 KB Output is correct
34 Correct 1156 ms 644196 KB Output is correct
35 Correct 1206 ms 643812 KB Output is correct
36 Correct 1200 ms 638312 KB Output is correct
37 Correct 1151 ms 638200 KB Output is correct
38 Correct 1186 ms 638312 KB Output is correct
39 Correct 857 ms 580536 KB Output is correct
40 Correct 830 ms 580536 KB Output is correct
41 Correct 869 ms 580484 KB Output is correct
42 Correct 860 ms 579996 KB Output is correct
43 Correct 1174 ms 637920 KB Output is correct
44 Correct 1063 ms 637868 KB Output is correct
45 Correct 1078 ms 638036 KB Output is correct
46 Correct 1085 ms 637924 KB Output is correct
47 Correct 1052 ms 637908 KB Output is correct
48 Correct 1035 ms 638004 KB Output is correct
49 Correct 1045 ms 638052 KB Output is correct
50 Correct 1040 ms 637928 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 519312 KB Output is correct
2 Correct 204 ms 519264 KB Output is correct
3 Correct 207 ms 519264 KB Output is correct
4 Correct 220 ms 519316 KB Output is correct
5 Correct 221 ms 519228 KB Output is correct
6 Correct 210 ms 519348 KB Output is correct
7 Correct 211 ms 519364 KB Output is correct
8 Correct 224 ms 519308 KB Output is correct
9 Correct 214 ms 519364 KB Output is correct
10 Correct 205 ms 519368 KB Output is correct
11 Correct 204 ms 519380 KB Output is correct
12 Correct 220 ms 519316 KB Output is correct
13 Correct 202 ms 519284 KB Output is correct
14 Correct 203 ms 519372 KB Output is correct
15 Correct 224 ms 519312 KB Output is correct
16 Correct 214 ms 519936 KB Output is correct
17 Correct 221 ms 520000 KB Output is correct
18 Correct 207 ms 519972 KB Output is correct
19 Correct 229 ms 522960 KB Output is correct
20 Correct 228 ms 522896 KB Output is correct
21 Correct 241 ms 522832 KB Output is correct
22 Correct 233 ms 522696 KB Output is correct
23 Correct 225 ms 522728 KB Output is correct
24 Correct 226 ms 522748 KB Output is correct
25 Correct 238 ms 522756 KB Output is correct
26 Correct 226 ms 522652 KB Output is correct
27 Execution timed out 3126 ms 895272 KB Time limit exceeded
28 Halted 0 ms 0 KB -