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Submission #204943

# Submission time Handle Problem Language Result Execution time Memory
204943 2020-02-27T14:00:17 Z oolimry Circle selection (APIO18_circle_selection) C++14
100 / 100
 1034 ms 49800 KB 
#include <bits/stdc++.h>
 
using namespace std; 
int n; 
 
struct Circle{
	long long x, y, r, id;
} arr[300005];
 
bool intersect(Circle a, Circle b){
	return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y) <= (a.r + b.r) * (a.r + b.r);
}
 
long long ans[300005];
bool used[300005];

inline long long ii(long long a, long long b){
	return a * (1LL << 32LL) + b;
}
 
unordered_map<long long, vector<int> > GRID;
long long gridSize = 1LL << 61LL;
 
void buildGrid(long long newGridSize){
	gridSize = newGridSize;
	GRID.clear();
	
	for(int i = 0;i < n;i++){
		if(!used[i]){
			long long xSquare = arr[i].x / gridSize;
			long long ySquare = arr[i].y / gridSize;
			GRID[ii(xSquare,ySquare)].push_back(i);
		}
	}
}
 
bool comp(Circle a, Circle b){
	if(a.r == b.r) return a.id < b.id;
	else return a.r > b.r;
}
 
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	
	cin >> n;
	fill(ans, ans + n, -1);
	
	for(int i = 0;i < n;i++){
		long long x, y, r; cin >> x >> y >> r;
		x += (1LL << 30LL); y += (1LL << 30LL);
		arr[i] = {x, y, r, i};
	}
	
	sort(arr,arr+n,comp);
	
	for(int i = 0;i < n;i++){
		Circle C = arr[i];
		
		if(used[i]) continue;
		
		if(gridSize > 2LL * C.r){
			buildGrid(C.r);
		}
		
		long long xSquare = C.x / gridSize;
		long long ySquare = C.y / gridSize;
		
		for(long long x = xSquare - 2;x <= xSquare + 2;x++){
			for(long long y = ySquare - 2;y <= ySquare + 2;y++){
				
				if(GRID.find(ii(x,y)) == GRID.end()) continue;
				vector<int> &points = GRID[ii(x,y)];
				
				for(int p = 0;p < (int) points.size();p++){
					if(intersect(arr[points[p]], C)){
						ans[arr[points[p]].id] = C.id;
						used[points[p]] = true;
												
						points[p] = points.back();
						points.pop_back();
						p--;
					}
				}
			}
		}
	}
	
	for(int i = 0;i < n;i++) cout << ans[i] + 1 << " ";
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 388 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 6 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 376 KB Output is correct
19 Correct 10 ms 760 KB Output is correct
20 Correct 9 ms 760 KB Output is correct
21 Correct 10 ms 760 KB Output is correct
22 Correct 14 ms 1144 KB Output is correct
23 Correct 14 ms 1144 KB Output is correct
24 Correct 13 ms 1144 KB Output is correct
25 Correct 14 ms 1144 KB Output is correct
26 Correct 15 ms 1144 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 218 ms 19136 KB Output is correct
2 Correct 219 ms 19244 KB Output is correct
3 Correct 215 ms 20036 KB Output is correct
4 Correct 214 ms 19752 KB Output is correct
5 Correct 254 ms 19664 KB Output is correct
6 Correct 535 ms 32184 KB Output is correct
7 Correct 288 ms 21120 KB Output is correct
8 Correct 326 ms 24604 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 264 ms 16392 KB Output is correct
3 Correct 939 ms 45320 KB Output is correct
4 Correct 956 ms 49528 KB Output is correct
5 Correct 925 ms 44808 KB Output is correct
6 Correct 355 ms 22716 KB Output is correct
7 Correct 156 ms 12296 KB Output is correct
8 Correct 29 ms 2936 KB Output is correct
9 Correct 1034 ms 48876 KB Output is correct
10 Correct 895 ms 44432 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 942 ms 42732 KB Output is correct
2 Correct 983 ms 45960 KB Output is correct
3 Correct 400 ms 26624 KB Output is correct
4 Correct 987 ms 49056 KB Output is correct
5 Correct 948 ms 49204 KB Output is correct
6 Correct 280 ms 25976 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 388 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 6 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 376 KB Output is correct
19 Correct 10 ms 760 KB Output is correct
20 Correct 9 ms 760 KB Output is correct
21 Correct 10 ms 760 KB Output is correct
22 Correct 14 ms 1144 KB Output is correct
23 Correct 14 ms 1144 KB Output is correct
24 Correct 13 ms 1144 KB Output is correct
25 Correct 14 ms 1144 KB Output is correct
26 Correct 15 ms 1144 KB Output is correct
27 Correct 12 ms 888 KB Output is correct
28 Correct 13 ms 888 KB Output is correct
29 Correct 11 ms 888 KB Output is correct
30 Correct 23 ms 1656 KB Output is correct
31 Correct 22 ms 1656 KB Output is correct
32 Correct 22 ms 1656 KB Output is correct
33 Correct 80 ms 5492 KB Output is correct
34 Correct 79 ms 5552 KB Output is correct
35 Correct 87 ms 5152 KB Output is correct
36 Correct 253 ms 13700 KB Output is correct
37 Correct 257 ms 13704 KB Output is correct
38 Correct 263 ms 13680 KB Output is correct
39 Correct 273 ms 12584 KB Output is correct
40 Correct 281 ms 12480 KB Output is correct
41 Correct 274 ms 12524 KB Output is correct
42 Correct 149 ms 13576 KB Output is correct
43 Correct 256 ms 13444 KB Output is correct
44 Correct 257 ms 13444 KB Output is correct
45 Correct 262 ms 13448 KB Output is correct
46 Correct 255 ms 13448 KB Output is correct
47 Correct 259 ms 13444 KB Output is correct
48 Correct 254 ms 13548 KB Output is correct
49 Correct 266 ms 13452 KB Output is correct
50 Correct 264 ms 13448 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 388 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 6 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 376 KB Output is correct
19 Correct 10 ms 760 KB Output is correct
20 Correct 9 ms 760 KB Output is correct
21 Correct 10 ms 760 KB Output is correct
22 Correct 14 ms 1144 KB Output is correct
23 Correct 14 ms 1144 KB Output is correct
24 Correct 13 ms 1144 KB Output is correct
25 Correct 14 ms 1144 KB Output is correct
26 Correct 15 ms 1144 KB Output is correct
27 Correct 218 ms 19136 KB Output is correct
28 Correct 219 ms 19244 KB Output is correct
29 Correct 215 ms 20036 KB Output is correct
30 Correct 214 ms 19752 KB Output is correct
31 Correct 254 ms 19664 KB Output is correct
32 Correct 535 ms 32184 KB Output is correct
33 Correct 288 ms 21120 KB Output is correct
34 Correct 326 ms 24604 KB Output is correct
35 Correct 5 ms 376 KB Output is correct
36 Correct 264 ms 16392 KB Output is correct
37 Correct 939 ms 45320 KB Output is correct
38 Correct 956 ms 49528 KB Output is correct
39 Correct 925 ms 44808 KB Output is correct
40 Correct 355 ms 22716 KB Output is correct
41 Correct 156 ms 12296 KB Output is correct
42 Correct 29 ms 2936 KB Output is correct
43 Correct 1034 ms 48876 KB Output is correct
44 Correct 895 ms 44432 KB Output is correct
45 Correct 942 ms 42732 KB Output is correct
46 Correct 983 ms 45960 KB Output is correct
47 Correct 400 ms 26624 KB Output is correct
48 Correct 987 ms 49056 KB Output is correct
49 Correct 948 ms 49204 KB Output is correct
50 Correct 280 ms 25976 KB Output is correct
51 Correct 12 ms 888 KB Output is correct
52 Correct 13 ms 888 KB Output is correct
53 Correct 11 ms 888 KB Output is correct
54 Correct 23 ms 1656 KB Output is correct
55 Correct 22 ms 1656 KB Output is correct
56 Correct 22 ms 1656 KB Output is correct
57 Correct 80 ms 5492 KB Output is correct
58 Correct 79 ms 5552 KB Output is correct
59 Correct 87 ms 5152 KB Output is correct
60 Correct 253 ms 13700 KB Output is correct
61 Correct 257 ms 13704 KB Output is correct
62 Correct 263 ms 13680 KB Output is correct
63 Correct 273 ms 12584 KB Output is correct
64 Correct 281 ms 12480 KB Output is correct
65 Correct 274 ms 12524 KB Output is correct
66 Correct 149 ms 13576 KB Output is correct
67 Correct 256 ms 13444 KB Output is correct
68 Correct 257 ms 13444 KB Output is correct
69 Correct 262 ms 13448 KB Output is correct
70 Correct 255 ms 13448 KB Output is correct
71 Correct 259 ms 13444 KB Output is correct
72 Correct 254 ms 13548 KB Output is correct
73 Correct 266 ms 13452 KB Output is correct
74 Correct 264 ms 13448 KB Output is correct
75 Correct 261 ms 23796 KB Output is correct
76 Correct 247 ms 23756 KB Output is correct
77 Correct 235 ms 25072 KB Output is correct
78 Correct 234 ms 24544 KB Output is correct
79 Correct 287 ms 23288 KB Output is correct
80 Correct 247 ms 24788 KB Output is correct
81 Correct 989 ms 49540 KB Output is correct
82 Correct 951 ms 49412 KB Output is correct
83 Correct 940 ms 49476 KB Output is correct
84 Correct 940 ms 49800 KB Output is correct
85 Correct 969 ms 49284 KB Output is correct
86 Correct 934 ms 49288 KB Output is correct
87 Correct 926 ms 49416 KB Output is correct
88 Correct 980 ms 41464 KB Output is correct
89 Correct 980 ms 41256 KB Output is correct
90 Correct 977 ms 41408 KB Output is correct
91 Correct 977 ms 41424 KB Output is correct
92 Correct 973 ms 41236 KB Output is correct
93 Correct 908 ms 48276 KB Output is correct
94 Correct 920 ms 48520 KB Output is correct
95 Correct 921 ms 48260 KB Output is correct
96 Correct 928 ms 48424 KB Output is correct
97 Correct 915 ms 48260 KB Output is correct
98 Correct 623 ms 38976 KB Output is correct
99 Correct 928 ms 48388 KB Output is correct
100 Correct 906 ms 48560 KB Output is correct
101 Correct 777 ms 43780 KB Output is correct
102 Correct 897 ms 48008 KB Output is correct
103 Correct 921 ms 48004 KB Output is correct
104 Correct 948 ms 48092 KB Output is correct
105 Correct 595 ms 45960 KB Output is correct
106 Correct 799 ms 47624 KB Output is correct
107 Correct 802 ms 47624 KB Output is correct
108 Correct 802 ms 47620 KB Output is correct
109 Correct 813 ms 47612 KB Output is correct
110 Correct 811 ms 47628 KB Output is correct
111 Correct 808 ms 47624 KB Output is correct
112 Correct 785 ms 47492 KB Output is correct
113 Correct 800 ms 47620 KB Output is correct
114 Correct 892 ms 47660 KB Output is correct
115 Correct 825 ms 47748 KB Output is correct
116 Correct 811 ms 47624 KB Output is correct