oj.uz

Submission #243434

# Submission time Handle Problem Language Result Execution time Memory
243434 2020-07-01T06:47:20 Z atoiz Circle selection (APIO18_circle_selection) C++14
100 / 100
 1120 ms 48156 KB 
/*input
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
*/

// spoiled

#include <iostream>
#include <vector>
#include <algorithm>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <random>
#include <chrono>
#include <unordered_map>

using namespace std;

mt19937 rng(/*chrono::system_clock().now().time_since_epoch().count()*/100);

inline long long sqr(int x) { return (long long) x * x; }

struct Circle
{
	int x, y, r, i;
	bool intersect(const Circle &c) const
	{
		return sqr(c.x - x) + sqr(c.y - y) <= sqr(r + c.r);
	}
};

const int OFFSET = 1000 * 1000 * 1000;
int N;
vector<Circle> cir;
vector<int> ans;
unordered_map<long long, vector<int>> grid;

inline long long hsh(int x, int y) { return (((long long) x) << 30 ^ y); }

int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	cin >> N;
	// N = 300000;
	ans.assign(N, -1);
	cir.resize(N);
	for (int i = 0; i < N; ++i) {
		cin >> cir[i].x >> cir[i].y >> cir[i].r;
		// cir[i].x = rng() % OFFSET, cir[i].y = rng() % OFFSET, cir[i].r = exp(1.0 * rng() / mt19937::max() * log(10000));
		cir[i].x += OFFSET;
		cir[i].y += OFFSET;
		cir[i].i = i;
	}

	auto vec = cir;
	sort(vec.begin(), vec.end(), [&](Circle &a, Circle &b) {
		return (a.r == b.r ? (a.i < b.i) : (a.r > b.r));
	});

	auto c = vec.begin();

	for (int i = 30; i >= 0; --i) {
		if (c != vec.end() && c->r > ((1 << i) >> 1)) {
			grid.clear();
			for (auto t : vec) if (!~ans[t.i]) {
				grid[hsh(t.x >> i, t.y >> i)].push_back(t.i);
			}
		}

		for (; c != vec.end() && c->r > ((1 << i) >> 1); ++c) if (!~ans[c->i]) {
			int cx = c->x >> i, cy = c->y >> i;
			for (int tx = cx - 2; tx <= cx + 2; ++tx) {
				for (int ty = cy - 2; ty <= cy + 2; ++ty) {
					if (grid.find(hsh(tx, ty)) == grid.end()) continue;
					vector<int> &cur = grid[hsh(tx, ty)], tmp;
					for (int id : cur) {
						if (c->intersect(cir[id])) {
							ans[id] = c->i;
						} else {
							tmp.push_back(id);
						}
					}
					cur = move(tmp);
				}
			}
		}
	}

	for (int i = 0; i < N; ++i) cout << ans[i] + 1 << ' ';
	cerr << 1.0 * clock() / CLOCKS_PER_SEC << endl;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 8 ms 640 KB Output is correct
20 Correct 8 ms 640 KB Output is correct
21 Correct 8 ms 640 KB Output is correct
22 Correct 13 ms 1024 KB Output is correct
23 Correct 15 ms 1024 KB Output is correct
24 Correct 12 ms 1024 KB Output is correct
25 Correct 13 ms 1024 KB Output is correct
26 Correct 13 ms 1024 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 207 ms 13992 KB Output is correct
2 Correct 200 ms 13208 KB Output is correct
3 Correct 200 ms 13516 KB Output is correct
4 Correct 207 ms 13260 KB Output is correct
5 Correct 207 ms 13236 KB Output is correct
6 Correct 478 ms 24016 KB Output is correct
7 Correct 225 ms 15992 KB Output is correct
8 Correct 252 ms 17860 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 274 ms 13192 KB Output is correct
3 Correct 974 ms 39840 KB Output is correct
4 Correct 1059 ms 40076 KB Output is correct
5 Correct 1006 ms 35852 KB Output is correct
6 Correct 363 ms 18108 KB Output is correct
7 Correct 140 ms 9736 KB Output is correct
8 Correct 26 ms 2552 KB Output is correct
9 Correct 1108 ms 39180 KB Output is correct
10 Correct 899 ms 33804 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 890 ms 39860 KB Output is correct
2 Correct 901 ms 40116 KB Output is correct
3 Correct 332 ms 27912 KB Output is correct
4 Correct 918 ms 47500 KB Output is correct
5 Correct 884 ms 47496 KB Output is correct
6 Correct 222 ms 23800 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 8 ms 640 KB Output is correct
20 Correct 8 ms 640 KB Output is correct
21 Correct 8 ms 640 KB Output is correct
22 Correct 13 ms 1024 KB Output is correct
23 Correct 15 ms 1024 KB Output is correct
24 Correct 12 ms 1024 KB Output is correct
25 Correct 13 ms 1024 KB Output is correct
26 Correct 13 ms 1024 KB Output is correct
27 Correct 11 ms 896 KB Output is correct
28 Correct 13 ms 896 KB Output is correct
29 Correct 11 ms 768 KB Output is correct
30 Correct 22 ms 1712 KB Output is correct
31 Correct 22 ms 1664 KB Output is correct
32 Correct 21 ms 1664 KB Output is correct
33 Correct 74 ms 4588 KB Output is correct
34 Correct 73 ms 4716 KB Output is correct
35 Correct 75 ms 4704 KB Output is correct
36 Correct 286 ms 13196 KB Output is correct
37 Correct 267 ms 13192 KB Output is correct
38 Correct 262 ms 13192 KB Output is correct
39 Correct 253 ms 12052 KB Output is correct
40 Correct 263 ms 12132 KB Output is correct
41 Correct 251 ms 12036 KB Output is correct
42 Correct 136 ms 10096 KB Output is correct
43 Correct 264 ms 12936 KB Output is correct
44 Correct 227 ms 12936 KB Output is correct
45 Correct 230 ms 12936 KB Output is correct
46 Correct 243 ms 12936 KB Output is correct
47 Correct 228 ms 13064 KB Output is correct
48 Correct 292 ms 13064 KB Output is correct
49 Correct 230 ms 12936 KB Output is correct
50 Correct 257 ms 12968 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 8 ms 640 KB Output is correct
20 Correct 8 ms 640 KB Output is correct
21 Correct 8 ms 640 KB Output is correct
22 Correct 13 ms 1024 KB Output is correct
23 Correct 15 ms 1024 KB Output is correct
24 Correct 12 ms 1024 KB Output is correct
25 Correct 13 ms 1024 KB Output is correct
26 Correct 13 ms 1024 KB Output is correct
27 Correct 207 ms 13992 KB Output is correct
28 Correct 200 ms 13208 KB Output is correct
29 Correct 200 ms 13516 KB Output is correct
30 Correct 207 ms 13260 KB Output is correct
31 Correct 207 ms 13236 KB Output is correct
32 Correct 478 ms 24016 KB Output is correct
33 Correct 225 ms 15992 KB Output is correct
34 Correct 252 ms 17860 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 274 ms 13192 KB Output is correct
37 Correct 974 ms 39840 KB Output is correct
38 Correct 1059 ms 40076 KB Output is correct
39 Correct 1006 ms 35852 KB Output is correct
40 Correct 363 ms 18108 KB Output is correct
41 Correct 140 ms 9736 KB Output is correct
42 Correct 26 ms 2552 KB Output is correct
43 Correct 1108 ms 39180 KB Output is correct
44 Correct 899 ms 33804 KB Output is correct
45 Correct 890 ms 39860 KB Output is correct
46 Correct 901 ms 40116 KB Output is correct
47 Correct 332 ms 27912 KB Output is correct
48 Correct 918 ms 47500 KB Output is correct
49 Correct 884 ms 47496 KB Output is correct
50 Correct 222 ms 23800 KB Output is correct
51 Correct 11 ms 896 KB Output is correct
52 Correct 13 ms 896 KB Output is correct
53 Correct 11 ms 768 KB Output is correct
54 Correct 22 ms 1712 KB Output is correct
55 Correct 22 ms 1664 KB Output is correct
56 Correct 21 ms 1664 KB Output is correct
57 Correct 74 ms 4588 KB Output is correct
58 Correct 73 ms 4716 KB Output is correct
59 Correct 75 ms 4704 KB Output is correct
60 Correct 286 ms 13196 KB Output is correct
61 Correct 267 ms 13192 KB Output is correct
62 Correct 262 ms 13192 KB Output is correct
63 Correct 253 ms 12052 KB Output is correct
64 Correct 263 ms 12132 KB Output is correct
65 Correct 251 ms 12036 KB Output is correct
66 Correct 136 ms 10096 KB Output is correct
67 Correct 264 ms 12936 KB Output is correct
68 Correct 227 ms 12936 KB Output is correct
69 Correct 230 ms 12936 KB Output is correct
70 Correct 243 ms 12936 KB Output is correct
71 Correct 228 ms 13064 KB Output is correct
72 Correct 292 ms 13064 KB Output is correct
73 Correct 230 ms 12936 KB Output is correct
74 Correct 257 ms 12968 KB Output is correct
75 Correct 236 ms 22740 KB Output is correct
76 Correct 214 ms 22372 KB Output is correct
77 Correct 232 ms 22584 KB Output is correct
78 Correct 218 ms 22160 KB Output is correct
79 Correct 244 ms 21740 KB Output is correct
80 Correct 213 ms 22144 KB Output is correct
81 Correct 1120 ms 48008 KB Output is correct
82 Correct 963 ms 47884 KB Output is correct
83 Correct 1004 ms 47752 KB Output is correct
84 Correct 1050 ms 48156 KB Output is correct
85 Correct 1010 ms 47880 KB Output is correct
86 Correct 971 ms 47880 KB Output is correct
87 Correct 987 ms 47752 KB Output is correct
88 Correct 906 ms 39820 KB Output is correct
89 Correct 920 ms 39832 KB Output is correct
90 Correct 915 ms 39764 KB Output is correct
91 Correct 910 ms 39816 KB Output is correct
92 Correct 968 ms 39744 KB Output is correct
93 Correct 1113 ms 46988 KB Output is correct
94 Correct 987 ms 46984 KB Output is correct
95 Correct 1058 ms 46784 KB Output is correct
96 Correct 988 ms 46860 KB Output is correct
97 Correct 1006 ms 46728 KB Output is correct
98 Correct 685 ms 33468 KB Output is correct
99 Correct 1063 ms 47208 KB Output is correct
100 Correct 983 ms 46760 KB Output is correct
101 Correct 1022 ms 37180 KB Output is correct
102 Correct 1014 ms 46476 KB Output is correct
103 Correct 1091 ms 45836 KB Output is correct
104 Correct 1113 ms 46692 KB Output is correct
105 Correct 654 ms 33760 KB Output is correct
106 Correct 727 ms 45960 KB Output is correct
107 Correct 747 ms 46216 KB Output is correct
108 Correct 893 ms 46088 KB Output is correct
109 Correct 864 ms 46088 KB Output is correct
110 Correct 797 ms 46220 KB Output is correct
111 Correct 768 ms 46100 KB Output is correct
112 Correct 767 ms 46044 KB Output is correct
113 Correct 822 ms 46180 KB Output is correct
114 Correct 875 ms 46168 KB Output is correct
115 Correct 995 ms 46224 KB Output is correct
116 Correct 847 ms 46088 KB Output is correct