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Submission #611075

# Submission time Handle Problem Language Result Execution time Memory
611075 2022-07-29T02:10:20 Z GusterGoose27 Circle selection (APIO18_circle_selection) C++11
100 / 100
 2734 ms 59884 KB 
#include <bits/stdc++.h>

using namespace std;

typedef pair<int, int> pii;
typedef long long ll;

class Circle {
public:
	int x;
	int y;
	int r;
	int id;
	bool active = 1;
	Circle() {}
	Circle(int xn, int yn, int rn, int i) {
		x = xn;
		y = yn;
		r = rn;
		id = i;
	}
};

bool operator<(Circle &a, Circle &b) {
	return (a.r == b.r) ? (a.id < b.id) : (a.r > b.r);
}

bool intersect(Circle &a, Circle &b) {
	ll xdiff = a.x-b.x;
	ll ydiff = a.y-b.y;
	ll rsum = a.r+b.r;
	return rsum*rsum >= xdiff*xdiff+ydiff*ydiff;
}

const int MAXN = 3e5;
int n;
Circle circles[MAXN];
map<pii, set<int>> grid_div;
int par[MAXN];
int sq_sz;

void make_div() {
	grid_div.clear();
	for (int i = 0; i < n; i++) {
		if (!circles[i].active) continue;
		grid_div[pii(circles[i].x/sq_sz, circles[i].y/sq_sz)].insert(i);
	}
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n;
	for (int i = 0; i < n; i++) {
		int x, y, r;
		cin >> x >> y >> r;
		circles[i] = Circle(x, y, r, i);
	}
	sort(circles, circles+n);
	sq_sz = circles[0].r;
	make_div();
	for (int i = 0; i < n; i++) {
		if (!circles[i].active) continue;
		if (circles[i].r <= sq_sz/2) {
			sq_sz = circles[i].r;
			make_div();
		}
		int sqx = circles[i].x/sq_sz;
		int sqy = circles[i].y/sq_sz;
		for (int x_diff = -2; x_diff <= 2; x_diff++) {
			for (int y_diff = -2; y_diff <= 2; y_diff++) {
				pii cur = pii(sqx+x_diff, sqy+y_diff);
				if (grid_div.find(cur) != grid_div.end()) {
					vector<int> r;
					for (int circ: grid_div[cur]) {
						if (intersect(circles[circ], circles[i])) {
							par[circles[circ].id] = circles[i].id;
							r.push_back(circ);
							circles[circ].active = 0;
						}
					}
					for (int circ: r) grid_div[cur].erase(circ);
				}
			}
		}
	}
	for (int i = 0; i < n; i++) {
		if (i) cout << ' ';
		cout << (1+par[i]);
	}
	cout << "\n";
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6100 KB Output is correct
2 Correct 3 ms 6100 KB Output is correct
3 Correct 3 ms 6100 KB Output is correct
4 Correct 3 ms 6100 KB Output is correct
5 Correct 2 ms 6204 KB Output is correct
6 Correct 3 ms 6204 KB Output is correct
7 Correct 3 ms 6100 KB Output is correct
8 Correct 3 ms 6100 KB Output is correct
9 Correct 4 ms 6100 KB Output is correct
10 Correct 3 ms 6100 KB Output is correct
11 Correct 3 ms 6200 KB Output is correct
12 Correct 3 ms 6100 KB Output is correct
13 Correct 3 ms 6228 KB Output is correct
14 Correct 3 ms 6100 KB Output is correct
15 Correct 3 ms 6100 KB Output is correct
16 Correct 3 ms 6228 KB Output is correct
17 Correct 3 ms 6228 KB Output is correct
18 Correct 3 ms 6228 KB Output is correct
19 Correct 6 ms 6604 KB Output is correct
20 Correct 6 ms 6612 KB Output is correct
21 Correct 6 ms 6580 KB Output is correct
22 Correct 15 ms 6984 KB Output is correct
23 Correct 16 ms 6996 KB Output is correct
24 Correct 16 ms 6996 KB Output is correct
25 Correct 13 ms 7056 KB Output is correct
26 Correct 14 ms 6996 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 227 ms 30368 KB Output is correct
2 Correct 288 ms 30308 KB Output is correct
3 Correct 208 ms 30108 KB Output is correct
4 Correct 186 ms 30348 KB Output is correct
5 Correct 418 ms 28528 KB Output is correct
6 Correct 768 ms 41868 KB Output is correct
7 Correct 395 ms 29720 KB Output is correct
8 Correct 541 ms 32052 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6100 KB Output is correct
2 Correct 510 ms 23948 KB Output is correct
3 Correct 1881 ms 59656 KB Output is correct
4 Correct 1801 ms 59652 KB Output is correct
5 Correct 1813 ms 53916 KB Output is correct
6 Correct 625 ms 30168 KB Output is correct
7 Correct 248 ms 19020 KB Output is correct
8 Correct 39 ms 8868 KB Output is correct
9 Correct 2062 ms 58900 KB Output is correct
10 Correct 1570 ms 52936 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1508 ms 59516 KB Output is correct
2 Correct 1116 ms 58680 KB Output is correct
3 Correct 576 ms 39524 KB Output is correct
4 Correct 1093 ms 59116 KB Output is correct
5 Correct 1111 ms 59336 KB Output is correct
6 Correct 441 ms 32900 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6100 KB Output is correct
2 Correct 3 ms 6100 KB Output is correct
3 Correct 3 ms 6100 KB Output is correct
4 Correct 3 ms 6100 KB Output is correct
5 Correct 2 ms 6204 KB Output is correct
6 Correct 3 ms 6204 KB Output is correct
7 Correct 3 ms 6100 KB Output is correct
8 Correct 3 ms 6100 KB Output is correct
9 Correct 4 ms 6100 KB Output is correct
10 Correct 3 ms 6100 KB Output is correct
11 Correct 3 ms 6200 KB Output is correct
12 Correct 3 ms 6100 KB Output is correct
13 Correct 3 ms 6228 KB Output is correct
14 Correct 3 ms 6100 KB Output is correct
15 Correct 3 ms 6100 KB Output is correct
16 Correct 3 ms 6228 KB Output is correct
17 Correct 3 ms 6228 KB Output is correct
18 Correct 3 ms 6228 KB Output is correct
19 Correct 6 ms 6604 KB Output is correct
20 Correct 6 ms 6612 KB Output is correct
21 Correct 6 ms 6580 KB Output is correct
22 Correct 15 ms 6984 KB Output is correct
23 Correct 16 ms 6996 KB Output is correct
24 Correct 16 ms 6996 KB Output is correct
25 Correct 13 ms 7056 KB Output is correct
26 Correct 14 ms 6996 KB Output is correct
27 Correct 9 ms 6996 KB Output is correct
28 Correct 9 ms 7116 KB Output is correct
29 Correct 8 ms 7012 KB Output is correct
30 Correct 33 ms 7892 KB Output is correct
31 Correct 28 ms 7876 KB Output is correct
32 Correct 28 ms 7872 KB Output is correct
33 Correct 68 ms 15036 KB Output is correct
34 Correct 71 ms 15372 KB Output is correct
35 Correct 102 ms 14964 KB Output is correct
36 Correct 402 ms 23708 KB Output is correct
37 Correct 439 ms 23836 KB Output is correct
38 Correct 425 ms 23884 KB Output is correct
39 Correct 680 ms 20900 KB Output is correct
40 Correct 627 ms 20984 KB Output is correct
41 Correct 651 ms 20896 KB Output is correct
42 Correct 284 ms 22784 KB Output is correct
43 Correct 298 ms 23656 KB Output is correct
44 Correct 283 ms 23596 KB Output is correct
45 Correct 284 ms 23648 KB Output is correct
46 Correct 315 ms 23552 KB Output is correct
47 Correct 297 ms 23628 KB Output is correct
48 Correct 307 ms 23568 KB Output is correct
49 Correct 282 ms 23572 KB Output is correct
50 Correct 329 ms 23576 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6100 KB Output is correct
2 Correct 3 ms 6100 KB Output is correct
3 Correct 3 ms 6100 KB Output is correct
4 Correct 3 ms 6100 KB Output is correct
5 Correct 2 ms 6204 KB Output is correct
6 Correct 3 ms 6204 KB Output is correct
7 Correct 3 ms 6100 KB Output is correct
8 Correct 3 ms 6100 KB Output is correct
9 Correct 4 ms 6100 KB Output is correct
10 Correct 3 ms 6100 KB Output is correct
11 Correct 3 ms 6200 KB Output is correct
12 Correct 3 ms 6100 KB Output is correct
13 Correct 3 ms 6228 KB Output is correct
14 Correct 3 ms 6100 KB Output is correct
15 Correct 3 ms 6100 KB Output is correct
16 Correct 3 ms 6228 KB Output is correct
17 Correct 3 ms 6228 KB Output is correct
18 Correct 3 ms 6228 KB Output is correct
19 Correct 6 ms 6604 KB Output is correct
20 Correct 6 ms 6612 KB Output is correct
21 Correct 6 ms 6580 KB Output is correct
22 Correct 15 ms 6984 KB Output is correct
23 Correct 16 ms 6996 KB Output is correct
24 Correct 16 ms 6996 KB Output is correct
25 Correct 13 ms 7056 KB Output is correct
26 Correct 14 ms 6996 KB Output is correct
27 Correct 227 ms 30368 KB Output is correct
28 Correct 288 ms 30308 KB Output is correct
29 Correct 208 ms 30108 KB Output is correct
30 Correct 186 ms 30348 KB Output is correct
31 Correct 418 ms 28528 KB Output is correct
32 Correct 768 ms 41868 KB Output is correct
33 Correct 395 ms 29720 KB Output is correct
34 Correct 541 ms 32052 KB Output is correct
35 Correct 3 ms 6100 KB Output is correct
36 Correct 510 ms 23948 KB Output is correct
37 Correct 1881 ms 59656 KB Output is correct
38 Correct 1801 ms 59652 KB Output is correct
39 Correct 1813 ms 53916 KB Output is correct
40 Correct 625 ms 30168 KB Output is correct
41 Correct 248 ms 19020 KB Output is correct
42 Correct 39 ms 8868 KB Output is correct
43 Correct 2062 ms 58900 KB Output is correct
44 Correct 1570 ms 52936 KB Output is correct
45 Correct 1508 ms 59516 KB Output is correct
46 Correct 1116 ms 58680 KB Output is correct
47 Correct 576 ms 39524 KB Output is correct
48 Correct 1093 ms 59116 KB Output is correct
49 Correct 1111 ms 59336 KB Output is correct
50 Correct 441 ms 32900 KB Output is correct
51 Correct 9 ms 6996 KB Output is correct
52 Correct 9 ms 7116 KB Output is correct
53 Correct 8 ms 7012 KB Output is correct
54 Correct 33 ms 7892 KB Output is correct
55 Correct 28 ms 7876 KB Output is correct
56 Correct 28 ms 7872 KB Output is correct
57 Correct 68 ms 15036 KB Output is correct
58 Correct 71 ms 15372 KB Output is correct
59 Correct 102 ms 14964 KB Output is correct
60 Correct 402 ms 23708 KB Output is correct
61 Correct 439 ms 23836 KB Output is correct
62 Correct 425 ms 23884 KB Output is correct
63 Correct 680 ms 20900 KB Output is correct
64 Correct 627 ms 20984 KB Output is correct
65 Correct 651 ms 20896 KB Output is correct
66 Correct 284 ms 22784 KB Output is correct
67 Correct 298 ms 23656 KB Output is correct
68 Correct 283 ms 23596 KB Output is correct
69 Correct 284 ms 23648 KB Output is correct
70 Correct 315 ms 23552 KB Output is correct
71 Correct 297 ms 23628 KB Output is correct
72 Correct 307 ms 23568 KB Output is correct
73 Correct 282 ms 23572 KB Output is correct
74 Correct 329 ms 23576 KB Output is correct
75 Correct 246 ms 32940 KB Output is correct
76 Correct 277 ms 32368 KB Output is correct
77 Correct 208 ms 32588 KB Output is correct
78 Correct 250 ms 32604 KB Output is correct
79 Correct 369 ms 32268 KB Output is correct
80 Correct 239 ms 32576 KB Output is correct
81 Correct 1858 ms 59680 KB Output is correct
82 Correct 1799 ms 59416 KB Output is correct
83 Correct 1804 ms 59372 KB Output is correct
84 Correct 2118 ms 59884 KB Output is correct
85 Correct 1884 ms 59448 KB Output is correct
86 Correct 1990 ms 59532 KB Output is correct
87 Correct 2382 ms 59432 KB Output is correct
88 Correct 2616 ms 50716 KB Output is correct
89 Correct 2686 ms 50688 KB Output is correct
90 Correct 2734 ms 50860 KB Output is correct
91 Correct 2428 ms 50848 KB Output is correct
92 Correct 2421 ms 50628 KB Output is correct
93 Correct 1379 ms 58452 KB Output is correct
94 Correct 1497 ms 58688 KB Output is correct
95 Correct 1353 ms 58572 KB Output is correct
96 Correct 1405 ms 58464 KB Output is correct
97 Correct 2225 ms 58384 KB Output is correct
98 Correct 943 ms 48532 KB Output is correct
99 Correct 1394 ms 58628 KB Output is correct
100 Correct 1297 ms 58428 KB Output is correct
101 Correct 1203 ms 52832 KB Output is correct
102 Correct 1311 ms 58116 KB Output is correct
103 Correct 1915 ms 58136 KB Output is correct
104 Correct 1384 ms 58308 KB Output is correct
105 Correct 1117 ms 56128 KB Output is correct
106 Correct 1024 ms 57440 KB Output is correct
107 Correct 1026 ms 57520 KB Output is correct
108 Correct 1018 ms 57468 KB Output is correct
109 Correct 1028 ms 57468 KB Output is correct
110 Correct 1050 ms 57556 KB Output is correct
111 Correct 1071 ms 57588 KB Output is correct
112 Correct 1063 ms 57500 KB Output is correct
113 Correct 1092 ms 57520 KB Output is correct
114 Correct 1090 ms 57424 KB Output is correct
115 Correct 1104 ms 57512 KB Output is correct
116 Correct 1071 ms 57468 KB Output is correct