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Submission #1071015

# Submission time Handle Problem Language Result Execution time Memory
1071015 2024-08-22T23:31:51 Z pawned Circle selection (APIO18_circle_selection) C++17
49 / 100
 3000 ms 82268 KB 
#pragma GCC optimize("O1,O2,O3,Ofast,unroll-loops")

#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define pb push_back
typedef long long ll;
typedef pair<ll, ll> ii;
typedef vector<ll> vi;

const char nl = '\n';

void fastIO() {
	ios::sync_with_stdio(false);
	cin.tie(0);
}

bool intersect(ll x1, ll y1, ll x2, ll y2, ll r1, ll r2) {
	ll dx = abs(x1 - x2);
	ll dy = abs(y1 - y2);
	ll dt = r1 + r2;
	if (dt * dt >= dx * dx + dy * dy)
		return true;
	return false;
}

int main() {
	fastIO();
	int N;
	cin>>N;
	vector<pair<ii, ll>> cr(N);
	// {{x, y}, r}
	multiset<pair<ii, ii>> all;
	// {{r, -id}, {x, y}}
	map<ll, set<pair<ll, ii>>> allx;	// maps x coord to all {y, {r, id}}
	for (int i = 0; i < N; i++) {
		ll x, y, r;
		cin>>x>>y>>r;
		all.insert({{r, -i}, {x, y}});
		allx[x].insert({y, {r, i}});
	}
	vi par(N, -1);
	int rem = N;
	while (rem > 0) {
		auto it = --all.end();
		ll r = (*it).fi.fi;
		int id = -(*it).fi.se;
		ll x = (*it).se.fi;
		ll y = (*it).se.se;
//		cout<<"at "<<id<<endl;
		// consider all from x in x-2r to x+2r, y in y-2r to r+2r
		auto it2 = allx.lower_bound(x - 2 * r);
		while (it2 != allx.end() && (*it2).fi <= x + 2 * r) {
			// do another search inside
			ll cx = (*it2).fi;
			vector<pair<ll, ii>> toremove;
			auto it3 = allx[cx].lower_bound({y - 2 * r, {-1, -1}});
			while (it3 != allx[cx].end() && (*it3).fi <= y + 2 * r) {
				ll cy = (*it3).fi;
				ll cr = (*it3).se.fi;
				int cid = (*it3).se.se;
				if (intersect(x, y, cx, cy, r, cr)) {
					toremove.pb(*it3);
				}
				it3++;
			}
			for (pair<ll, ii> p : toremove) {
				par[p.se.se] = id;
//				cout<<"erased "<<p.se.se<<endl;
				allx[cx].erase(p);
				all.erase({{p.se.fi, -p.se.se}, {cx, p.fi}});
				rem--;
			}
			it2++;
		}
	}
//	cout<<"ANSWER: ";
	for (int x : par)
		cout<<(x + 1)<<" ";
	cout<<endl;
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:63:9: warning: unused variable 'cid' [-Wunused-variable]
   63 |     int cid = (*it3).se.se;
      |         ^~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 508 KB Output is correct
17 Correct 2 ms 600 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 9 ms 1740 KB Output is correct
20 Correct 7 ms 1628 KB Output is correct
21 Correct 8 ms 1628 KB Output is correct
22 Correct 10 ms 1780 KB Output is correct
23 Correct 33 ms 1624 KB Output is correct
24 Correct 11 ms 1628 KB Output is correct
25 Correct 6 ms 1788 KB Output is correct
26 Correct 7 ms 1628 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 722 ms 82216 KB Output is correct
2 Correct 813 ms 82196 KB Output is correct
3 Correct 740 ms 82000 KB Output is correct
4 Correct 724 ms 82268 KB Output is correct
5 Correct 653 ms 72788 KB Output is correct
6 Correct 850 ms 82048 KB Output is correct
7 Correct 805 ms 80480 KB Output is correct
8 Correct 785 ms 81236 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 744 ms 27444 KB Output is correct
3 Correct 2705 ms 82072 KB Output is correct
4 Correct 2677 ms 82076 KB Output is correct
5 Execution timed out 3083 ms 77908 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1613 ms 82256 KB Output is correct
2 Correct 617 ms 82040 KB Output is correct
3 Execution timed out 3062 ms 80276 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 508 KB Output is correct
17 Correct 2 ms 600 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 9 ms 1740 KB Output is correct
20 Correct 7 ms 1628 KB Output is correct
21 Correct 8 ms 1628 KB Output is correct
22 Correct 10 ms 1780 KB Output is correct
23 Correct 33 ms 1624 KB Output is correct
24 Correct 11 ms 1628 KB Output is correct
25 Correct 6 ms 1788 KB Output is correct
26 Correct 7 ms 1628 KB Output is correct
27 Correct 13 ms 3164 KB Output is correct
28 Correct 13 ms 3132 KB Output is correct
29 Correct 15 ms 3160 KB Output is correct
30 Correct 33 ms 3120 KB Output is correct
31 Correct 16 ms 3164 KB Output is correct
32 Correct 21 ms 3164 KB Output is correct
33 Correct 200 ms 27472 KB Output is correct
34 Correct 184 ms 27652 KB Output is correct
35 Correct 220 ms 27428 KB Output is correct
36 Correct 274 ms 27472 KB Output is correct
37 Correct 295 ms 27576 KB Output is correct
38 Correct 340 ms 27472 KB Output is correct
39 Correct 492 ms 18116 KB Output is correct
40 Correct 476 ms 18256 KB Output is correct
41 Correct 465 ms 18260 KB Output is correct
42 Correct 161 ms 18260 KB Output is correct
43 Correct 166 ms 27736 KB Output is correct
44 Correct 170 ms 27476 KB Output is correct
45 Correct 172 ms 27476 KB Output is correct
46 Correct 166 ms 27728 KB Output is correct
47 Correct 182 ms 27544 KB Output is correct
48 Correct 167 ms 27472 KB Output is correct
49 Correct 171 ms 27728 KB Output is correct
50 Correct 171 ms 27488 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 508 KB Output is correct
17 Correct 2 ms 600 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 9 ms 1740 KB Output is correct
20 Correct 7 ms 1628 KB Output is correct
21 Correct 8 ms 1628 KB Output is correct
22 Correct 10 ms 1780 KB Output is correct
23 Correct 33 ms 1624 KB Output is correct
24 Correct 11 ms 1628 KB Output is correct
25 Correct 6 ms 1788 KB Output is correct
26 Correct 7 ms 1628 KB Output is correct
27 Correct 722 ms 82216 KB Output is correct
28 Correct 813 ms 82196 KB Output is correct
29 Correct 740 ms 82000 KB Output is correct
30 Correct 724 ms 82268 KB Output is correct
31 Correct 653 ms 72788 KB Output is correct
32 Correct 850 ms 82048 KB Output is correct
33 Correct 805 ms 80480 KB Output is correct
34 Correct 785 ms 81236 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 744 ms 27444 KB Output is correct
37 Correct 2705 ms 82072 KB Output is correct
38 Correct 2677 ms 82076 KB Output is correct
39 Execution timed out 3083 ms 77908 KB Time limit exceeded
40 Halted 0 ms 0 KB -