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Submission #204940

# Submission time Handle Problem Language Result Execution time Memory
204940 2020-02-27T13:52:36 Z oolimry Circle selection (APIO18_circle_selection) C++14
49 / 100
 3000 ms 352516 KB 
#include <bits/stdc++.h>
 
using namespace std; 
int n; 
 
struct Circle{
	long long x, y, r, id;
} sorted[300005], arr[300005];;
 
inline 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);
}
 
inline long long ii(long long a, long long b){
	return a * (1LL << 32LL) + b;
}
long long ans[300005];
 
 struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

unordered_map<long long, vector<int>, custom_hash> GRID;
long long gridSize = 1LL << 61LL;
 
inline void buildGrid(long long newGridSize){
	gridSize = newGridSize;
	GRID.clear();
	
	for(int i = 0;i < n;i++){
		if(ans[i] == -1){
			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 << 31LL); y += (1LL << 31LL);
		arr[i] = {x, y, r, i};
		sorted[i] = {x, y, r, i};
	}
	
	sort(sorted,sorted+n,comp);
	
	for(int i = 0;i < n;i++){
		Circle C = sorted[i];
		
		if(ans[C.id] != -1) continue;
				
		if(gridSize > 2 * 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++){
				vector<int> &points = GRID[ii(x,y)];
				
				for(int p = 0;p < (int) points.size();p++){
					if(intersect(arr[points[p]],C)){
						ans[points[p]] = C.id;
												
						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 380 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 4 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 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 5 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 504 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 5 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 9 ms 760 KB Output is correct
20 Correct 9 ms 760 KB Output is correct
21 Correct 9 ms 760 KB Output is correct
22 Correct 33 ms 5768 KB Output is correct
23 Correct 32 ms 5768 KB Output is correct
24 Correct 32 ms 5768 KB Output is correct
25 Correct 31 ms 5892 KB Output is correct
26 Correct 32 ms 5896 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 24148 KB Output is correct
2 Correct 220 ms 23812 KB Output is correct
3 Correct 227 ms 24996 KB Output is correct
4 Correct 232 ms 23868 KB Output is correct
5 Correct 273 ms 27524 KB Output is correct
6 Correct 1427 ms 90872 KB Output is correct
7 Correct 332 ms 32008 KB Output is correct
8 Correct 488 ms 41404 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 1575 ms 105544 KB Output is correct
3 Execution timed out 3096 ms 352516 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3089 ms 352444 KB Time limit exceeded
2 Halted 0 ms 0 KB -

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 380 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 4 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 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 5 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 504 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 5 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 9 ms 760 KB Output is correct
20 Correct 9 ms 760 KB Output is correct
21 Correct 9 ms 760 KB Output is correct
22 Correct 33 ms 5768 KB Output is correct
23 Correct 32 ms 5768 KB Output is correct
24 Correct 32 ms 5768 KB Output is correct
25 Correct 31 ms 5892 KB Output is correct
26 Correct 32 ms 5896 KB Output is correct
27 Correct 16 ms 1144 KB Output is correct
28 Correct 12 ms 1144 KB Output is correct
29 Correct 12 ms 1144 KB Output is correct
30 Correct 81 ms 11320 KB Output is correct
31 Correct 84 ms 11196 KB Output is correct
32 Correct 91 ms 11324 KB Output is correct
33 Correct 84 ms 8564 KB Output is correct
34 Correct 83 ms 8600 KB Output is correct
35 Correct 85 ms 8192 KB Output is correct
36 Correct 1493 ms 107304 KB Output is correct
37 Correct 1498 ms 106820 KB Output is correct
38 Correct 1555 ms 106832 KB Output is correct
39 Correct 479 ms 33936 KB Output is correct
40 Correct 475 ms 34016 KB Output is correct
41 Correct 472 ms 33916 KB Output is correct
42 Correct 191 ms 18568 KB Output is correct
43 Correct 1847 ms 176452 KB Output is correct
44 Correct 1802 ms 176868 KB Output is correct
45 Correct 1843 ms 176620 KB Output is correct
46 Correct 1831 ms 176884 KB Output is correct
47 Correct 1779 ms 176964 KB Output is correct
48 Correct 1769 ms 176972 KB Output is correct
49 Correct 1823 ms 177120 KB Output is correct
50 Correct 1769 ms 176964 KB Output is correct

Subtask #6
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 380 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 4 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 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 5 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 504 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 5 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 9 ms 760 KB Output is correct
20 Correct 9 ms 760 KB Output is correct
21 Correct 9 ms 760 KB Output is correct
22 Correct 33 ms 5768 KB Output is correct
23 Correct 32 ms 5768 KB Output is correct
24 Correct 32 ms 5768 KB Output is correct
25 Correct 31 ms 5892 KB Output is correct
26 Correct 32 ms 5896 KB Output is correct
27 Correct 230 ms 24148 KB Output is correct
28 Correct 220 ms 23812 KB Output is correct
29 Correct 227 ms 24996 KB Output is correct
30 Correct 232 ms 23868 KB Output is correct
31 Correct 273 ms 27524 KB Output is correct
32 Correct 1427 ms 90872 KB Output is correct
33 Correct 332 ms 32008 KB Output is correct
34 Correct 488 ms 41404 KB Output is correct
35 Correct 5 ms 376 KB Output is correct
36 Correct 1575 ms 105544 KB Output is correct
37 Execution timed out 3096 ms 352516 KB Time limit exceeded
38 Halted 0 ms 0 KB -