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Submission #49279

# Submission time Handle Problem Language Result Execution time Memory
49279 2018-05-24T17:58:43 Z zadrga Circle selection (APIO18_circle_selection) C++14
100 / 100
 1924 ms 24164 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 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 408 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 484 KB Output is correct
8 Correct 2 ms 484 KB Output is correct
9 Correct 2 ms 544 KB Output is correct
10 Correct 3 ms 544 KB Output is correct
11 Correct 2 ms 560 KB Output is correct
12 Correct 3 ms 560 KB Output is correct
13 Correct 2 ms 560 KB Output is correct
14 Correct 2 ms 560 KB Output is correct
15 Correct 2 ms 620 KB Output is correct
16 Correct 4 ms 620 KB Output is correct
17 Correct 3 ms 620 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 7 ms 1004 KB Output is correct
20 Correct 6 ms 1004 KB Output is correct
21 Correct 9 ms 1020 KB Output is correct
22 Correct 14 ms 1036 KB Output is correct
23 Correct 14 ms 1052 KB Output is correct
24 Correct 14 ms 1052 KB Output is correct
25 Correct 12 ms 1052 KB Output is correct
26 Correct 12 ms 1052 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 333 ms 24108 KB Output is correct
2 Correct 435 ms 24108 KB Output is correct
3 Correct 310 ms 24108 KB Output is correct
4 Correct 307 ms 24164 KB Output is correct
5 Correct 574 ms 24164 KB Output is correct
6 Correct 742 ms 24164 KB Output is correct
7 Correct 794 ms 24164 KB Output is correct
8 Correct 833 ms 24164 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 24164 KB Output is correct
2 Correct 489 ms 24164 KB Output is correct
3 Correct 1826 ms 24164 KB Output is correct
4 Correct 1597 ms 24164 KB Output is correct
5 Correct 1924 ms 24164 KB Output is correct
6 Correct 423 ms 24164 KB Output is correct
7 Correct 203 ms 24164 KB Output is correct
8 Correct 29 ms 24164 KB Output is correct
9 Correct 1819 ms 24164 KB Output is correct
10 Correct 1075 ms 24164 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 706 ms 24164 KB Output is correct
2 Correct 544 ms 24164 KB Output is correct
3 Correct 347 ms 24164 KB Output is correct
4 Correct 601 ms 24164 KB Output is correct
5 Correct 591 ms 24164 KB Output is correct
6 Correct 321 ms 24164 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 408 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 484 KB Output is correct
8 Correct 2 ms 484 KB Output is correct
9 Correct 2 ms 544 KB Output is correct
10 Correct 3 ms 544 KB Output is correct
11 Correct 2 ms 560 KB Output is correct
12 Correct 3 ms 560 KB Output is correct
13 Correct 2 ms 560 KB Output is correct
14 Correct 2 ms 560 KB Output is correct
15 Correct 2 ms 620 KB Output is correct
16 Correct 4 ms 620 KB Output is correct
17 Correct 3 ms 620 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 7 ms 1004 KB Output is correct
20 Correct 6 ms 1004 KB Output is correct
21 Correct 9 ms 1020 KB Output is correct
22 Correct 14 ms 1036 KB Output is correct
23 Correct 14 ms 1052 KB Output is correct
24 Correct 14 ms 1052 KB Output is correct
25 Correct 12 ms 1052 KB Output is correct
26 Correct 12 ms 1052 KB Output is correct
27 Correct 16 ms 24164 KB Output is correct
28 Correct 11 ms 24164 KB Output is correct
29 Correct 11 ms 24164 KB Output is correct
30 Correct 27 ms 24164 KB Output is correct
31 Correct 25 ms 24164 KB Output is correct
32 Correct 25 ms 24164 KB Output is correct
33 Correct 106 ms 24164 KB Output is correct
34 Correct 99 ms 24164 KB Output is correct
35 Correct 352 ms 24164 KB Output is correct
36 Correct 443 ms 24164 KB Output is correct
37 Correct 430 ms 24164 KB Output is correct
38 Correct 458 ms 24164 KB Output is correct
39 Correct 475 ms 24164 KB Output is correct
40 Correct 522 ms 24164 KB Output is correct
41 Correct 505 ms 24164 KB Output is correct
42 Correct 165 ms 24164 KB Output is correct
43 Correct 167 ms 24164 KB Output is correct
44 Correct 164 ms 24164 KB Output is correct
45 Correct 175 ms 24164 KB Output is correct
46 Correct 161 ms 24164 KB Output is correct
47 Correct 151 ms 24164 KB Output is correct
48 Correct 170 ms 24164 KB Output is correct
49 Correct 168 ms 24164 KB Output is correct
50 Correct 152 ms 24164 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 408 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 484 KB Output is correct
8 Correct 2 ms 484 KB Output is correct
9 Correct 2 ms 544 KB Output is correct
10 Correct 3 ms 544 KB Output is correct
11 Correct 2 ms 560 KB Output is correct
12 Correct 3 ms 560 KB Output is correct
13 Correct 2 ms 560 KB Output is correct
14 Correct 2 ms 560 KB Output is correct
15 Correct 2 ms 620 KB Output is correct
16 Correct 4 ms 620 KB Output is correct
17 Correct 3 ms 620 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 7 ms 1004 KB Output is correct
20 Correct 6 ms 1004 KB Output is correct
21 Correct 9 ms 1020 KB Output is correct
22 Correct 14 ms 1036 KB Output is correct
23 Correct 14 ms 1052 KB Output is correct
24 Correct 14 ms 1052 KB Output is correct
25 Correct 12 ms 1052 KB Output is correct
26 Correct 12 ms 1052 KB Output is correct
27 Correct 333 ms 24108 KB Output is correct
28 Correct 435 ms 24108 KB Output is correct
29 Correct 310 ms 24108 KB Output is correct
30 Correct 307 ms 24164 KB Output is correct
31 Correct 574 ms 24164 KB Output is correct
32 Correct 742 ms 24164 KB Output is correct
33 Correct 794 ms 24164 KB Output is correct
34 Correct 833 ms 24164 KB Output is correct
35 Correct 3 ms 24164 KB Output is correct
36 Correct 489 ms 24164 KB Output is correct
37 Correct 1826 ms 24164 KB Output is correct
38 Correct 1597 ms 24164 KB Output is correct
39 Correct 1924 ms 24164 KB Output is correct
40 Correct 423 ms 24164 KB Output is correct
41 Correct 203 ms 24164 KB Output is correct
42 Correct 29 ms 24164 KB Output is correct
43 Correct 1819 ms 24164 KB Output is correct
44 Correct 1075 ms 24164 KB Output is correct
45 Correct 706 ms 24164 KB Output is correct
46 Correct 544 ms 24164 KB Output is correct
47 Correct 347 ms 24164 KB Output is correct
48 Correct 601 ms 24164 KB Output is correct
49 Correct 591 ms 24164 KB Output is correct
50 Correct 321 ms 24164 KB Output is correct
51 Correct 16 ms 24164 KB Output is correct
52 Correct 11 ms 24164 KB Output is correct
53 Correct 11 ms 24164 KB Output is correct
54 Correct 27 ms 24164 KB Output is correct
55 Correct 25 ms 24164 KB Output is correct
56 Correct 25 ms 24164 KB Output is correct
57 Correct 106 ms 24164 KB Output is correct
58 Correct 99 ms 24164 KB Output is correct
59 Correct 352 ms 24164 KB Output is correct
60 Correct 443 ms 24164 KB Output is correct
61 Correct 430 ms 24164 KB Output is correct
62 Correct 458 ms 24164 KB Output is correct
63 Correct 475 ms 24164 KB Output is correct
64 Correct 522 ms 24164 KB Output is correct
65 Correct 505 ms 24164 KB Output is correct
66 Correct 165 ms 24164 KB Output is correct
67 Correct 167 ms 24164 KB Output is correct
68 Correct 164 ms 24164 KB Output is correct
69 Correct 175 ms 24164 KB Output is correct
70 Correct 161 ms 24164 KB Output is correct
71 Correct 151 ms 24164 KB Output is correct
72 Correct 170 ms 24164 KB Output is correct
73 Correct 168 ms 24164 KB Output is correct
74 Correct 152 ms 24164 KB Output is correct
75 Correct 1253 ms 24164 KB Output is correct
76 Correct 445 ms 24164 KB Output is correct
77 Correct 301 ms 24164 KB Output is correct
78 Correct 378 ms 24164 KB Output is correct
79 Correct 1388 ms 24164 KB Output is correct
80 Correct 371 ms 24164 KB Output is correct
81 Correct 1626 ms 24164 KB Output is correct
82 Correct 1622 ms 24164 KB Output is correct
83 Correct 1623 ms 24164 KB Output is correct
84 Correct 1541 ms 24164 KB Output is correct
85 Correct 1548 ms 24164 KB Output is correct
86 Correct 1545 ms 24164 KB Output is correct
87 Correct 1635 ms 24164 KB Output is correct
88 Correct 1859 ms 24164 KB Output is correct
89 Correct 1685 ms 24164 KB Output is correct
90 Correct 1478 ms 24164 KB Output is correct
91 Correct 1640 ms 24164 KB Output is correct
92 Correct 1829 ms 24164 KB Output is correct
93 Correct 992 ms 24164 KB Output is correct
94 Correct 1287 ms 24164 KB Output is correct
95 Correct 936 ms 24164 KB Output is correct
96 Correct 1022 ms 24164 KB Output is correct
97 Correct 1229 ms 24164 KB Output is correct
98 Correct 953 ms 24164 KB Output is correct
99 Correct 958 ms 24164 KB Output is correct
100 Correct 752 ms 24164 KB Output is correct
101 Correct 977 ms 24164 KB Output is correct
102 Correct 969 ms 24164 KB Output is correct
103 Correct 1330 ms 24164 KB Output is correct
104 Correct 933 ms 24164 KB Output is correct
105 Correct 434 ms 24164 KB Output is correct
106 Correct 532 ms 24164 KB Output is correct
107 Correct 520 ms 24164 KB Output is correct
108 Correct 526 ms 24164 KB Output is correct
109 Correct 522 ms 24164 KB Output is correct
110 Correct 517 ms 24164 KB Output is correct
111 Correct 531 ms 24164 KB Output is correct
112 Correct 496 ms 24164 KB Output is correct
113 Correct 525 ms 24164 KB Output is correct
114 Correct 582 ms 24164 KB Output is correct
115 Correct 540 ms 24164 KB Output is correct
116 Correct 538 ms 24164 KB Output is correct