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Submission #1071011

# Submission time Handle Problem Language Result Execution time Memory
1071011 2024-08-22T23:28:57 Z pawned Circle selection (APIO18_circle_selection) C++17
49 / 100
 3000 ms 73000 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<int, int> ii;
typedef vector<int> vi;

const char nl = '\n';

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

bool intersect(int &x1, int &y1, int &x2, int &y2, int &r1, int &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, int>> cr(N);
	// {{x, y}, r}
	set<pair<ii, ii>> all;
	// {{r, -id}, {x, y}}
	map<int, set<pair<int, ii>>> allx;	// maps x coord to all {y, {r, id}}
	for (int i = 0; i < N; i++) {
		int 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();
		int r = (*it).fi.fi;
		int id = -(*it).fi.se;
		int x = (*it).se.fi;
		int 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
		int xl = max((ll)(x) - 2 * (ll)(r), (ll)(-2e9));
		int xh = min((ll)(x) + 2 * (ll)(r), (ll)(2e9));
		auto it2 = allx.lower_bound(xl);
		while (it2 != allx.end() && (*it2).fi <= xh) {
			// do another search inside
			int cx = (*it2).fi;
			vector<pair<ll, ii>> toremove;
			int dx = abs(x - cx);
			// can do up to sqrt for yh
			ll dy = (ll)(pow(4 * (double)(r) * (double)(r) - (double)(dx) * (double)(dx), 0.5) + 1);
			int yl = max((ll)(y) - dy, (ll)(-2e9));
			int yh = min((ll)(y) + dy, (ll)(2e9));
			auto it3 = allx[cx].lower_bound({yl, {-1, -1}});
			while (it3 != allx[cx].end() && (*it3).fi <= yh) {
				int cy = (*it3).fi;
				int cr = (*it3).se.fi;
				if (intersect(x, y, cx, cy, r, cr)) {
					toremove.pb(*it3);
				}
				it3++;
			}
			for (pair<int, 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;
}

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 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 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 348 KB Output is correct
11 Correct 1 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 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 2 ms 600 KB Output is correct
19 Correct 5 ms 1628 KB Output is correct
20 Correct 6 ms 1532 KB Output is correct
21 Correct 7 ms 1628 KB Output is correct
22 Correct 8 ms 1632 KB Output is correct
23 Correct 32 ms 1436 KB Output is correct
24 Correct 8 ms 1628 KB Output is correct
25 Correct 6 ms 1628 KB Output is correct
26 Correct 8 ms 1628 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 707 ms 72988 KB Output is correct
2 Correct 744 ms 73000 KB Output is correct
3 Correct 718 ms 72672 KB Output is correct
4 Correct 720 ms 72788 KB Output is correct
5 Correct 685 ms 63488 KB Output is correct
6 Correct 707 ms 72528 KB Output is correct
7 Correct 700 ms 71012 KB Output is correct
8 Correct 725 ms 71760 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 689 ms 24476 KB Output is correct
3 Correct 2615 ms 72696 KB Output is correct
4 Correct 2522 ms 72688 KB Output is correct
5 Execution timed out 3043 ms 68740 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1512 ms 72788 KB Output is correct
2 Correct 626 ms 72632 KB Output is correct
3 Execution timed out 3083 ms 70740 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 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 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 348 KB Output is correct
11 Correct 1 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 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 2 ms 600 KB Output is correct
19 Correct 5 ms 1628 KB Output is correct
20 Correct 6 ms 1532 KB Output is correct
21 Correct 7 ms 1628 KB Output is correct
22 Correct 8 ms 1632 KB Output is correct
23 Correct 32 ms 1436 KB Output is correct
24 Correct 8 ms 1628 KB Output is correct
25 Correct 6 ms 1628 KB Output is correct
26 Correct 8 ms 1628 KB Output is correct
27 Correct 13 ms 2652 KB Output is correct
28 Correct 12 ms 2636 KB Output is correct
29 Correct 11 ms 2652 KB Output is correct
30 Correct 33 ms 2648 KB Output is correct
31 Correct 16 ms 2652 KB Output is correct
32 Correct 16 ms 2828 KB Output is correct
33 Correct 175 ms 24376 KB Output is correct
34 Correct 155 ms 24404 KB Output is correct
35 Correct 234 ms 24400 KB Output is correct
36 Correct 277 ms 24336 KB Output is correct
37 Correct 278 ms 24664 KB Output is correct
38 Correct 379 ms 24404 KB Output is correct
39 Correct 446 ms 15020 KB Output is correct
40 Correct 438 ms 14932 KB Output is correct
41 Correct 484 ms 14928 KB Output is correct
42 Correct 155 ms 15068 KB Output is correct
43 Correct 158 ms 24404 KB Output is correct
44 Correct 158 ms 24400 KB Output is correct
45 Correct 160 ms 24404 KB Output is correct
46 Correct 156 ms 24316 KB Output is correct
47 Correct 159 ms 24660 KB Output is correct
48 Correct 172 ms 24364 KB Output is correct
49 Correct 159 ms 24404 KB Output is correct
50 Correct 169 ms 24392 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 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 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 348 KB Output is correct
11 Correct 1 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 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 2 ms 600 KB Output is correct
19 Correct 5 ms 1628 KB Output is correct
20 Correct 6 ms 1532 KB Output is correct
21 Correct 7 ms 1628 KB Output is correct
22 Correct 8 ms 1632 KB Output is correct
23 Correct 32 ms 1436 KB Output is correct
24 Correct 8 ms 1628 KB Output is correct
25 Correct 6 ms 1628 KB Output is correct
26 Correct 8 ms 1628 KB Output is correct
27 Correct 707 ms 72988 KB Output is correct
28 Correct 744 ms 73000 KB Output is correct
29 Correct 718 ms 72672 KB Output is correct
30 Correct 720 ms 72788 KB Output is correct
31 Correct 685 ms 63488 KB Output is correct
32 Correct 707 ms 72528 KB Output is correct
33 Correct 700 ms 71012 KB Output is correct
34 Correct 725 ms 71760 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 689 ms 24476 KB Output is correct
37 Correct 2615 ms 72696 KB Output is correct
38 Correct 2522 ms 72688 KB Output is correct
39 Execution timed out 3043 ms 68740 KB Time limit exceeded
40 Halted 0 ms 0 KB -