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Submission #514940

# Submission time Handle Problem Language Result Execution time Memory
514940 2022-01-18T20:59:06 Z AugustinasJucas Circle selection (APIO18_circle_selection) C++14
37 / 100
 2052 ms 1048576 KB 
#include <bits/stdc++.h>
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 * 20 * 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 * 20 * dydis);
	l.resize(4 * dydis);
	r.resize(4 * dydis);
	ml.resize(4 * dydis);
	mr.resize(4 * dydis);
	rightmost.resize(4 * 20 * dydis);
	sz.resize(4 * 20 * dydis);
	tevas.resize(4 * 20 * 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;
		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 204 ms 495812 KB Output is correct
2 Correct 206 ms 495788 KB Output is correct
3 Correct 237 ms 495828 KB Output is correct
4 Correct 191 ms 495836 KB Output is correct
5 Correct 200 ms 495752 KB Output is correct
6 Correct 199 ms 496048 KB Output is correct
7 Correct 203 ms 495920 KB Output is correct
8 Correct 205 ms 495856 KB Output is correct
9 Correct 208 ms 495968 KB Output is correct
10 Correct 222 ms 495936 KB Output is correct
11 Correct 216 ms 495812 KB Output is correct
12 Correct 197 ms 495868 KB Output is correct
13 Correct 196 ms 495904 KB Output is correct
14 Correct 206 ms 495900 KB Output is correct
15 Correct 195 ms 495812 KB Output is correct
16 Correct 198 ms 496536 KB Output is correct
17 Correct 195 ms 496480 KB Output is correct
18 Correct 199 ms 496544 KB Output is correct
19 Correct 233 ms 499848 KB Output is correct
20 Correct 212 ms 499640 KB Output is correct
21 Correct 219 ms 499652 KB Output is correct
22 Correct 221 ms 499352 KB Output is correct
23 Correct 219 ms 499356 KB Output is correct
24 Correct 220 ms 499352 KB Output is correct
25 Correct 216 ms 499400 KB Output is correct
26 Correct 216 ms 499356 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Runtime error 2052 ms 1048576 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 210 ms 495836 KB Output is correct
2 Correct 1253 ms 615700 KB Output is correct
3 Runtime error 1860 ms 1048576 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 1825 ms 1048576 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 495812 KB Output is correct
2 Correct 206 ms 495788 KB Output is correct
3 Correct 237 ms 495828 KB Output is correct
4 Correct 191 ms 495836 KB Output is correct
5 Correct 200 ms 495752 KB Output is correct
6 Correct 199 ms 496048 KB Output is correct
7 Correct 203 ms 495920 KB Output is correct
8 Correct 205 ms 495856 KB Output is correct
9 Correct 208 ms 495968 KB Output is correct
10 Correct 222 ms 495936 KB Output is correct
11 Correct 216 ms 495812 KB Output is correct
12 Correct 197 ms 495868 KB Output is correct
13 Correct 196 ms 495904 KB Output is correct
14 Correct 206 ms 495900 KB Output is correct
15 Correct 195 ms 495812 KB Output is correct
16 Correct 198 ms 496536 KB Output is correct
17 Correct 195 ms 496480 KB Output is correct
18 Correct 199 ms 496544 KB Output is correct
19 Correct 233 ms 499848 KB Output is correct
20 Correct 212 ms 499640 KB Output is correct
21 Correct 219 ms 499652 KB Output is correct
22 Correct 221 ms 499352 KB Output is correct
23 Correct 219 ms 499356 KB Output is correct
24 Correct 220 ms 499352 KB Output is correct
25 Correct 216 ms 499400 KB Output is correct
26 Correct 216 ms 499356 KB Output is correct
27 Correct 260 ms 503368 KB Output is correct
28 Correct 260 ms 503232 KB Output is correct
29 Correct 282 ms 503236 KB Output is correct
30 Correct 265 ms 502940 KB Output is correct
31 Correct 255 ms 502892 KB Output is correct
32 Correct 268 ms 502868 KB Output is correct
33 Correct 1117 ms 621196 KB Output is correct
34 Correct 1117 ms 621188 KB Output is correct
35 Correct 1190 ms 620264 KB Output is correct
36 Correct 1153 ms 615400 KB Output is correct
37 Correct 1167 ms 615404 KB Output is correct
38 Correct 1190 ms 615452 KB Output is correct
39 Correct 826 ms 557672 KB Output is correct
40 Correct 845 ms 557584 KB Output is correct
41 Correct 833 ms 557616 KB Output is correct
42 Correct 823 ms 557236 KB Output is correct
43 Correct 1035 ms 615184 KB Output is correct
44 Correct 1121 ms 615048 KB Output is correct
45 Correct 1063 ms 615124 KB Output is correct
46 Correct 1030 ms 615184 KB Output is correct
47 Correct 1036 ms 615052 KB Output is correct
48 Correct 1110 ms 615288 KB Output is correct
49 Correct 1031 ms 615032 KB Output is correct
50 Correct 1035 ms 615136 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 495812 KB Output is correct
2 Correct 206 ms 495788 KB Output is correct
3 Correct 237 ms 495828 KB Output is correct
4 Correct 191 ms 495836 KB Output is correct
5 Correct 200 ms 495752 KB Output is correct
6 Correct 199 ms 496048 KB Output is correct
7 Correct 203 ms 495920 KB Output is correct
8 Correct 205 ms 495856 KB Output is correct
9 Correct 208 ms 495968 KB Output is correct
10 Correct 222 ms 495936 KB Output is correct
11 Correct 216 ms 495812 KB Output is correct
12 Correct 197 ms 495868 KB Output is correct
13 Correct 196 ms 495904 KB Output is correct
14 Correct 206 ms 495900 KB Output is correct
15 Correct 195 ms 495812 KB Output is correct
16 Correct 198 ms 496536 KB Output is correct
17 Correct 195 ms 496480 KB Output is correct
18 Correct 199 ms 496544 KB Output is correct
19 Correct 233 ms 499848 KB Output is correct
20 Correct 212 ms 499640 KB Output is correct
21 Correct 219 ms 499652 KB Output is correct
22 Correct 221 ms 499352 KB Output is correct
23 Correct 219 ms 499356 KB Output is correct
24 Correct 220 ms 499352 KB Output is correct
25 Correct 216 ms 499400 KB Output is correct
26 Correct 216 ms 499356 KB Output is correct
27 Runtime error 2052 ms 1048576 KB Execution killed with signal 11
28 Halted 0 ms 0 KB -