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Submission #49278

# Submission time Handle Problem Language Result Execution time Memory
49278 2018-05-24T17:55:36 Z zadrga Circle selection (APIO18_circle_selection) C++14
100 / 100
 1904 ms 24252 KB 
#include <bits/stdc++.h>

using namespace std;

#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define INF (1LL << 55)
#define MOD (1000 * 1000 * 1000 + 7)
#define maxn 300111

typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;

struct circle{
	ll x, y, r;
	int ind;
} c[maxn], a[maxn];

bool used[maxn];
int ans[maxn], order[maxn];
int n, cur_r, next_r;

bool operator<(circle a, circle b){
	if(a.x == b.x)	
		return a.y < b.y;

	return a.x < b.x;
}

bool comp(int x, int y){
	if(a[x].r == a[y].r)
		return a[x].ind < a[y].ind;

	return a[x].r > a[y].r;
}

void rescale(){
	cur_r = next_r;
	next_r = cur_r / 2;

	for(int i = 1; i <= n; i++){
		int cur = c[i].ind;
		c[i].x = a[cur].x / cur_r;
		c[i].y = a[cur].y / cur_r;
	}

	sort(c + 1, c + 1 + n);
}

bool intersection(circle &a, circle &b){
	ll dist_center = (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
	ll dist_r = (a.r + b.r) * (a.r + b.r);
	return dist_center <= dist_r;
}

void solve(int cur){
	int pos_x = a[cur].x / cur_r;
	int pos_y = a[cur].y / cur_r;

	ans[cur] = cur;
	used[cur] = 1;

	for(int cur_x = pos_x - 2; cur_x <= pos_x + 2; cur_x++){
		int it = lower_bound(c + 1, c + 1 + n, (circle) {cur_x, pos_y - 2, -1, -1}) - c;
		while(it <= n && c[it].x == cur_x && c[it].y <= pos_y + 2){
			if(!used[c[it].ind] && intersection(a[c[it].ind], a[cur])){
				ans[c[it].ind] = cur;
				used[c[it].ind] = 1;
			}
			it++;
		}
	}
}

int main(){
	scanf("%d", &n);
	for(int i = 1; i <= n; i++){
		ll x, y, r;
		scanf("%lld%lld%lld", &x, &y, &r);
		a[i] = c[i] = {x, y, r, i};
		order[i] = i;
	}
	
	sort(order + 1, order + 1 + n, comp);

	next_r = a[order[1]].r; 
	rescale();

	for(int i = 1; i <= n; i++){
		if(used[order[i]])
			continue;

		if(a[order[i]].r <= next_r)
			rescale();

		solve(order[i]);
	}

	for(int i = 1; i <= n; i++)
		printf("%d ", ans[i]);

	return 0;
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:79:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
  ~~~~~^~~~~~~~~~
circle_selection.cpp:82:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld%lld%lld", &x, &y, &r);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 248 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 3 ms 484 KB Output is correct
4 Correct 3 ms 484 KB Output is correct
5 Correct 3 ms 620 KB Output is correct
6 Correct 2 ms 620 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 2 ms 620 KB Output is correct
9 Correct 2 ms 704 KB Output is correct
10 Correct 2 ms 704 KB Output is correct
11 Correct 2 ms 704 KB Output is correct
12 Correct 2 ms 704 KB Output is correct
13 Correct 2 ms 704 KB Output is correct
14 Correct 3 ms 704 KB Output is correct
15 Correct 2 ms 704 KB Output is correct
16 Correct 4 ms 704 KB Output is correct
17 Correct 3 ms 704 KB Output is correct
18 Correct 0 ms 704 KB Output is correct
19 Correct 7 ms 1020 KB Output is correct
20 Correct 6 ms 1024 KB Output is correct
21 Correct 8 ms 1036 KB Output is correct
22 Correct 12 ms 1036 KB Output is correct
23 Correct 13 ms 1052 KB Output is correct
24 Correct 13 ms 1052 KB Output is correct
25 Correct 13 ms 1052 KB Output is correct
26 Correct 14 ms 1060 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 339 ms 24096 KB Output is correct
2 Correct 331 ms 24236 KB Output is correct
3 Correct 319 ms 24236 KB Output is correct
4 Correct 370 ms 24236 KB Output is correct
5 Correct 741 ms 24236 KB Output is correct
6 Correct 841 ms 24236 KB Output is correct
7 Correct 795 ms 24236 KB Output is correct
8 Correct 749 ms 24236 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 24236 KB Output is correct
2 Correct 371 ms 24236 KB Output is correct
3 Correct 1642 ms 24236 KB Output is correct
4 Correct 1786 ms 24236 KB Output is correct
5 Correct 1704 ms 24236 KB Output is correct
6 Correct 385 ms 24236 KB Output is correct
7 Correct 200 ms 24236 KB Output is correct
8 Correct 31 ms 24236 KB Output is correct
9 Correct 1826 ms 24236 KB Output is correct
10 Correct 1095 ms 24236 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 696 ms 24236 KB Output is correct
2 Correct 546 ms 24236 KB Output is correct
3 Correct 295 ms 24236 KB Output is correct
4 Correct 540 ms 24252 KB Output is correct
5 Correct 564 ms 24252 KB Output is correct
6 Correct 307 ms 24252 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 248 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 3 ms 484 KB Output is correct
4 Correct 3 ms 484 KB Output is correct
5 Correct 3 ms 620 KB Output is correct
6 Correct 2 ms 620 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 2 ms 620 KB Output is correct
9 Correct 2 ms 704 KB Output is correct
10 Correct 2 ms 704 KB Output is correct
11 Correct 2 ms 704 KB Output is correct
12 Correct 2 ms 704 KB Output is correct
13 Correct 2 ms 704 KB Output is correct
14 Correct 3 ms 704 KB Output is correct
15 Correct 2 ms 704 KB Output is correct
16 Correct 4 ms 704 KB Output is correct
17 Correct 3 ms 704 KB Output is correct
18 Correct 0 ms 704 KB Output is correct
19 Correct 7 ms 1020 KB Output is correct
20 Correct 6 ms 1024 KB Output is correct
21 Correct 8 ms 1036 KB Output is correct
22 Correct 12 ms 1036 KB Output is correct
23 Correct 13 ms 1052 KB Output is correct
24 Correct 13 ms 1052 KB Output is correct
25 Correct 13 ms 1052 KB Output is correct
26 Correct 14 ms 1060 KB Output is correct
27 Correct 18 ms 24252 KB Output is correct
28 Correct 10 ms 24252 KB Output is correct
29 Correct 13 ms 24252 KB Output is correct
30 Correct 37 ms 24252 KB Output is correct
31 Correct 24 ms 24252 KB Output is correct
32 Correct 23 ms 24252 KB Output is correct
33 Correct 89 ms 24252 KB Output is correct
34 Correct 89 ms 24252 KB Output is correct
35 Correct 276 ms 24252 KB Output is correct
36 Correct 419 ms 24252 KB Output is correct
37 Correct 421 ms 24252 KB Output is correct
38 Correct 483 ms 24252 KB Output is correct
39 Correct 553 ms 24252 KB Output is correct
40 Correct 456 ms 24252 KB Output is correct
41 Correct 462 ms 24252 KB Output is correct
42 Correct 166 ms 24252 KB Output is correct
43 Correct 232 ms 24252 KB Output is correct
44 Correct 162 ms 24252 KB Output is correct
45 Correct 170 ms 24252 KB Output is correct
46 Correct 161 ms 24252 KB Output is correct
47 Correct 164 ms 24252 KB Output is correct
48 Correct 161 ms 24252 KB Output is correct
49 Correct 178 ms 24252 KB Output is correct
50 Correct 164 ms 24252 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 248 KB Output is correct
2 Correct 2 ms 484 KB Output is correct
3 Correct 3 ms 484 KB Output is correct
4 Correct 3 ms 484 KB Output is correct
5 Correct 3 ms 620 KB Output is correct
6 Correct 2 ms 620 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 2 ms 620 KB Output is correct
9 Correct 2 ms 704 KB Output is correct
10 Correct 2 ms 704 KB Output is correct
11 Correct 2 ms 704 KB Output is correct
12 Correct 2 ms 704 KB Output is correct
13 Correct 2 ms 704 KB Output is correct
14 Correct 3 ms 704 KB Output is correct
15 Correct 2 ms 704 KB Output is correct
16 Correct 4 ms 704 KB Output is correct
17 Correct 3 ms 704 KB Output is correct
18 Correct 0 ms 704 KB Output is correct
19 Correct 7 ms 1020 KB Output is correct
20 Correct 6 ms 1024 KB Output is correct
21 Correct 8 ms 1036 KB Output is correct
22 Correct 12 ms 1036 KB Output is correct
23 Correct 13 ms 1052 KB Output is correct
24 Correct 13 ms 1052 KB Output is correct
25 Correct 13 ms 1052 KB Output is correct
26 Correct 14 ms 1060 KB Output is correct
27 Correct 339 ms 24096 KB Output is correct
28 Correct 331 ms 24236 KB Output is correct
29 Correct 319 ms 24236 KB Output is correct
30 Correct 370 ms 24236 KB Output is correct
31 Correct 741 ms 24236 KB Output is correct
32 Correct 841 ms 24236 KB Output is correct
33 Correct 795 ms 24236 KB Output is correct
34 Correct 749 ms 24236 KB Output is correct
35 Correct 3 ms 24236 KB Output is correct
36 Correct 371 ms 24236 KB Output is correct
37 Correct 1642 ms 24236 KB Output is correct
38 Correct 1786 ms 24236 KB Output is correct
39 Correct 1704 ms 24236 KB Output is correct
40 Correct 385 ms 24236 KB Output is correct
41 Correct 200 ms 24236 KB Output is correct
42 Correct 31 ms 24236 KB Output is correct
43 Correct 1826 ms 24236 KB Output is correct
44 Correct 1095 ms 24236 KB Output is correct
45 Correct 696 ms 24236 KB Output is correct
46 Correct 546 ms 24236 KB Output is correct
47 Correct 295 ms 24236 KB Output is correct
48 Correct 540 ms 24252 KB Output is correct
49 Correct 564 ms 24252 KB Output is correct
50 Correct 307 ms 24252 KB Output is correct
51 Correct 18 ms 24252 KB Output is correct
52 Correct 10 ms 24252 KB Output is correct
53 Correct 13 ms 24252 KB Output is correct
54 Correct 37 ms 24252 KB Output is correct
55 Correct 24 ms 24252 KB Output is correct
56 Correct 23 ms 24252 KB Output is correct
57 Correct 89 ms 24252 KB Output is correct
58 Correct 89 ms 24252 KB Output is correct
59 Correct 276 ms 24252 KB Output is correct
60 Correct 419 ms 24252 KB Output is correct
61 Correct 421 ms 24252 KB Output is correct
62 Correct 483 ms 24252 KB Output is correct
63 Correct 553 ms 24252 KB Output is correct
64 Correct 456 ms 24252 KB Output is correct
65 Correct 462 ms 24252 KB Output is correct
66 Correct 166 ms 24252 KB Output is correct
67 Correct 232 ms 24252 KB Output is correct
68 Correct 162 ms 24252 KB Output is correct
69 Correct 170 ms 24252 KB Output is correct
70 Correct 161 ms 24252 KB Output is correct
71 Correct 164 ms 24252 KB Output is correct
72 Correct 161 ms 24252 KB Output is correct
73 Correct 178 ms 24252 KB Output is correct
74 Correct 164 ms 24252 KB Output is correct
75 Correct 1209 ms 24252 KB Output is correct
76 Correct 478 ms 24252 KB Output is correct
77 Correct 323 ms 24252 KB Output is correct
78 Correct 327 ms 24252 KB Output is correct
79 Correct 1469 ms 24252 KB Output is correct
80 Correct 346 ms 24252 KB Output is correct
81 Correct 1676 ms 24252 KB Output is correct
82 Correct 1761 ms 24252 KB Output is correct
83 Correct 1395 ms 24252 KB Output is correct
84 Correct 1642 ms 24252 KB Output is correct
85 Correct 1600 ms 24252 KB Output is correct
86 Correct 1827 ms 24252 KB Output is correct
87 Correct 1810 ms 24252 KB Output is correct
88 Correct 1764 ms 24252 KB Output is correct
89 Correct 1689 ms 24252 KB Output is correct
90 Correct 1560 ms 24252 KB Output is correct
91 Correct 1405 ms 24252 KB Output is correct
92 Correct 1904 ms 24252 KB Output is correct
93 Correct 779 ms 24252 KB Output is correct
94 Correct 869 ms 24252 KB Output is correct
95 Correct 860 ms 24252 KB Output is correct
96 Correct 849 ms 24252 KB Output is correct
97 Correct 960 ms 24252 KB Output is correct
98 Correct 812 ms 24252 KB Output is correct
99 Correct 1036 ms 24252 KB Output is correct
100 Correct 727 ms 24252 KB Output is correct
101 Correct 1006 ms 24252 KB Output is correct
102 Correct 1091 ms 24252 KB Output is correct
103 Correct 1422 ms 24252 KB Output is correct
104 Correct 1027 ms 24252 KB Output is correct
105 Correct 419 ms 24252 KB Output is correct
106 Correct 515 ms 24252 KB Output is correct
107 Correct 550 ms 24252 KB Output is correct
108 Correct 584 ms 24252 KB Output is correct
109 Correct 586 ms 24252 KB Output is correct
110 Correct 531 ms 24252 KB Output is correct
111 Correct 544 ms 24252 KB Output is correct
112 Correct 552 ms 24252 KB Output is correct
113 Correct 583 ms 24252 KB Output is correct
114 Correct 530 ms 24252 KB Output is correct
115 Correct 586 ms 24252 KB Output is correct
116 Correct 533 ms 24252 KB Output is correct