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Submission #251488

# Submission time Handle Problem Language Result Execution time Memory
251488 2020-07-21T13:08:19 Z oolimry Circle selection (APIO18_circle_selection) C++14
100 / 100
 1150 ms 49668 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 << 31LL;
 
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 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 9 ms 1152 KB Output is correct
23 Correct 9 ms 1152 KB Output is correct
24 Correct 9 ms 1152 KB Output is correct
25 Correct 9 ms 1152 KB Output is correct
26 Correct 9 ms 1152 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 21440 KB Output is correct
2 Correct 211 ms 21436 KB Output is correct
3 Correct 215 ms 22212 KB Output is correct
4 Correct 211 ms 22064 KB Output is correct
5 Correct 267 ms 19740 KB Output is correct
6 Correct 487 ms 32312 KB Output is correct
7 Correct 291 ms 21380 KB Output is correct
8 Correct 341 ms 24516 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 260 ms 16380 KB Output is correct
3 Correct 870 ms 49412 KB Output is correct
4 Correct 823 ms 49544 KB Output is correct
5 Correct 790 ms 44676 KB Output is correct
6 Correct 296 ms 22712 KB Output is correct
7 Correct 125 ms 12164 KB Output is correct
8 Correct 22 ms 2944 KB Output is correct
9 Correct 879 ms 48816 KB Output is correct
10 Correct 796 ms 44216 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 961 ms 49284 KB Output is correct
2 Correct 903 ms 48392 KB Output is correct
3 Correct 332 ms 30600 KB Output is correct
4 Correct 822 ms 48780 KB Output is correct
5 Correct 864 ms 49028 KB Output is correct
6 Correct 260 ms 25976 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 9 ms 1152 KB Output is correct
23 Correct 9 ms 1152 KB Output is correct
24 Correct 9 ms 1152 KB Output is correct
25 Correct 9 ms 1152 KB Output is correct
26 Correct 9 ms 1152 KB Output is correct
27 Correct 7 ms 1152 KB Output is correct
28 Correct 10 ms 1280 KB Output is correct
29 Correct 8 ms 1152 KB Output is correct
30 Correct 18 ms 1920 KB Output is correct
31 Correct 19 ms 1920 KB Output is correct
32 Correct 18 ms 1920 KB Output is correct
33 Correct 76 ms 8564 KB Output is correct
34 Correct 74 ms 8624 KB Output is correct
35 Correct 76 ms 8108 KB Output is correct
36 Correct 220 ms 16132 KB Output is correct
37 Correct 213 ms 16264 KB Output is correct
38 Correct 221 ms 16388 KB Output is correct
39 Correct 241 ms 13644 KB Output is correct
40 Correct 242 ms 13628 KB Output is correct
41 Correct 260 ms 13612 KB Output is correct
42 Correct 133 ms 15248 KB Output is correct
43 Correct 238 ms 16004 KB Output is correct
44 Correct 221 ms 16132 KB Output is correct
45 Correct 252 ms 16032 KB Output is correct
46 Correct 264 ms 16052 KB Output is correct
47 Correct 235 ms 16136 KB Output is correct
48 Correct 237 ms 16136 KB Output is correct
49 Correct 265 ms 16132 KB Output is correct
50 Correct 238 ms 16136 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 9 ms 1152 KB Output is correct
23 Correct 9 ms 1152 KB Output is correct
24 Correct 9 ms 1152 KB Output is correct
25 Correct 9 ms 1152 KB Output is correct
26 Correct 9 ms 1152 KB Output is correct
27 Correct 212 ms 21440 KB Output is correct
28 Correct 211 ms 21436 KB Output is correct
29 Correct 215 ms 22212 KB Output is correct
30 Correct 211 ms 22064 KB Output is correct
31 Correct 267 ms 19740 KB Output is correct
32 Correct 487 ms 32312 KB Output is correct
33 Correct 291 ms 21380 KB Output is correct
34 Correct 341 ms 24516 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 260 ms 16380 KB Output is correct
37 Correct 870 ms 49412 KB Output is correct
38 Correct 823 ms 49544 KB Output is correct
39 Correct 790 ms 44676 KB Output is correct
40 Correct 296 ms 22712 KB Output is correct
41 Correct 125 ms 12164 KB Output is correct
42 Correct 22 ms 2944 KB Output is correct
43 Correct 879 ms 48816 KB Output is correct
44 Correct 796 ms 44216 KB Output is correct
45 Correct 961 ms 49284 KB Output is correct
46 Correct 903 ms 48392 KB Output is correct
47 Correct 332 ms 30600 KB Output is correct
48 Correct 822 ms 48780 KB Output is correct
49 Correct 864 ms 49028 KB Output is correct
50 Correct 260 ms 25976 KB Output is correct
51 Correct 7 ms 1152 KB Output is correct
52 Correct 10 ms 1280 KB Output is correct
53 Correct 8 ms 1152 KB Output is correct
54 Correct 18 ms 1920 KB Output is correct
55 Correct 19 ms 1920 KB Output is correct
56 Correct 18 ms 1920 KB Output is correct
57 Correct 76 ms 8564 KB Output is correct
58 Correct 74 ms 8624 KB Output is correct
59 Correct 76 ms 8108 KB Output is correct
60 Correct 220 ms 16132 KB Output is correct
61 Correct 213 ms 16264 KB Output is correct
62 Correct 221 ms 16388 KB Output is correct
63 Correct 241 ms 13644 KB Output is correct
64 Correct 242 ms 13628 KB Output is correct
65 Correct 260 ms 13612 KB Output is correct
66 Correct 133 ms 15248 KB Output is correct
67 Correct 238 ms 16004 KB Output is correct
68 Correct 221 ms 16132 KB Output is correct
69 Correct 252 ms 16032 KB Output is correct
70 Correct 264 ms 16052 KB Output is correct
71 Correct 235 ms 16136 KB Output is correct
72 Correct 237 ms 16136 KB Output is correct
73 Correct 265 ms 16132 KB Output is correct
74 Correct 238 ms 16136 KB Output is correct
75 Correct 247 ms 23668 KB Output is correct
76 Correct 235 ms 23540 KB Output is correct
77 Correct 237 ms 25196 KB Output is correct
78 Correct 228 ms 24544 KB Output is correct
79 Correct 272 ms 23176 KB Output is correct
80 Correct 229 ms 24656 KB Output is correct
81 Correct 1055 ms 49424 KB Output is correct
82 Correct 833 ms 49412 KB Output is correct
83 Correct 1150 ms 49200 KB Output is correct
84 Correct 969 ms 49668 KB Output is correct
85 Correct 983 ms 49284 KB Output is correct
86 Correct 895 ms 49428 KB Output is correct
87 Correct 835 ms 49296 KB Output is correct
88 Correct 881 ms 41356 KB Output is correct
89 Correct 887 ms 41124 KB Output is correct
90 Correct 1119 ms 41244 KB Output is correct
91 Correct 932 ms 41280 KB Output is correct
92 Correct 881 ms 41108 KB Output is correct
93 Correct 1104 ms 48264 KB Output is correct
94 Correct 1056 ms 48644 KB Output is correct
95 Correct 1062 ms 48264 KB Output is correct
96 Correct 936 ms 48260 KB Output is correct
97 Correct 981 ms 48260 KB Output is correct
98 Correct 705 ms 38840 KB Output is correct
99 Correct 1032 ms 48644 KB Output is correct
100 Correct 820 ms 48260 KB Output is correct
101 Correct 677 ms 43652 KB Output is correct
102 Correct 805 ms 48036 KB Output is correct
103 Correct 854 ms 48132 KB Output is correct
104 Correct 806 ms 48216 KB Output is correct
105 Correct 504 ms 45956 KB Output is correct
106 Correct 928 ms 47620 KB Output is correct
107 Correct 705 ms 47708 KB Output is correct
108 Correct 741 ms 47496 KB Output is correct
109 Correct 792 ms 47584 KB Output is correct
110 Correct 954 ms 47748 KB Output is correct
111 Correct 958 ms 47632 KB Output is correct
112 Correct 764 ms 47492 KB Output is correct
113 Correct 713 ms 47492 KB Output is correct
114 Correct 1074 ms 47472 KB Output is correct
115 Correct 701 ms 47620 KB Output is correct
116 Correct 694 ms 47512 KB Output is correct