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Submission #49276

# Submission time Handle Problem Language Result Execution time Memory
49276 2018-05-24T17:51:57 Z zadrga Circle selection (APIO18_circle_selection) C++14
100 / 100
 1837 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 3 ms 376 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 3 ms 392 KB Output is correct
4 Correct 3 ms 440 KB Output is correct
5 Correct 2 ms 444 KB Output is correct
6 Correct 2 ms 516 KB Output is correct
7 Correct 3 ms 516 KB Output is correct
8 Correct 3 ms 516 KB Output is correct
9 Correct 3 ms 516 KB Output is correct
10 Correct 3 ms 516 KB Output is correct
11 Correct 3 ms 644 KB Output is correct
12 Correct 3 ms 644 KB Output is correct
13 Correct 2 ms 644 KB Output is correct
14 Correct 2 ms 644 KB Output is correct
15 Correct 2 ms 644 KB Output is correct
16 Correct 4 ms 804 KB Output is correct
17 Correct 3 ms 804 KB Output is correct
18 Correct 3 ms 804 KB Output is correct
19 Correct 7 ms 976 KB Output is correct
20 Correct 7 ms 1004 KB Output is correct
21 Correct 8 ms 1020 KB Output is correct
22 Correct 18 ms 1020 KB Output is correct
23 Correct 13 ms 1020 KB Output is correct
24 Correct 14 ms 1036 KB Output is correct
25 Correct 12 ms 1040 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 342 ms 24124 KB Output is correct
2 Correct 455 ms 24172 KB Output is correct
3 Correct 425 ms 24172 KB Output is correct
4 Correct 382 ms 24172 KB Output is correct
5 Correct 636 ms 24172 KB Output is correct
6 Correct 987 ms 24252 KB Output is correct
7 Correct 771 ms 24252 KB Output is correct
8 Correct 704 ms 24252 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 24252 KB Output is correct
2 Correct 439 ms 24252 KB Output is correct
3 Correct 1597 ms 24252 KB Output is correct
4 Correct 1782 ms 24252 KB Output is correct
5 Correct 1837 ms 24252 KB Output is correct
6 Correct 471 ms 24252 KB Output is correct
7 Correct 207 ms 24252 KB Output is correct
8 Correct 45 ms 24252 KB Output is correct
9 Correct 1835 ms 24252 KB Output is correct
10 Correct 1084 ms 24252 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 620 ms 24252 KB Output is correct
2 Correct 567 ms 24252 KB Output is correct
3 Correct 351 ms 24252 KB Output is correct
4 Correct 504 ms 24252 KB Output is correct
5 Correct 532 ms 24252 KB Output is correct
6 Correct 266 ms 24252 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 3 ms 392 KB Output is correct
4 Correct 3 ms 440 KB Output is correct
5 Correct 2 ms 444 KB Output is correct
6 Correct 2 ms 516 KB Output is correct
7 Correct 3 ms 516 KB Output is correct
8 Correct 3 ms 516 KB Output is correct
9 Correct 3 ms 516 KB Output is correct
10 Correct 3 ms 516 KB Output is correct
11 Correct 3 ms 644 KB Output is correct
12 Correct 3 ms 644 KB Output is correct
13 Correct 2 ms 644 KB Output is correct
14 Correct 2 ms 644 KB Output is correct
15 Correct 2 ms 644 KB Output is correct
16 Correct 4 ms 804 KB Output is correct
17 Correct 3 ms 804 KB Output is correct
18 Correct 3 ms 804 KB Output is correct
19 Correct 7 ms 976 KB Output is correct
20 Correct 7 ms 1004 KB Output is correct
21 Correct 8 ms 1020 KB Output is correct
22 Correct 18 ms 1020 KB Output is correct
23 Correct 13 ms 1020 KB Output is correct
24 Correct 14 ms 1036 KB Output is correct
25 Correct 12 ms 1040 KB Output is correct
26 Correct 12 ms 1052 KB Output is correct
27 Correct 16 ms 24252 KB Output is correct
28 Correct 11 ms 24252 KB Output is correct
29 Correct 13 ms 24252 KB Output is correct
30 Correct 25 ms 24252 KB Output is correct
31 Correct 23 ms 24252 KB Output is correct
32 Correct 26 ms 24252 KB Output is correct
33 Correct 96 ms 24252 KB Output is correct
34 Correct 98 ms 24252 KB Output is correct
35 Correct 377 ms 24252 KB Output is correct
36 Correct 445 ms 24252 KB Output is correct
37 Correct 458 ms 24252 KB Output is correct
38 Correct 326 ms 24252 KB Output is correct
39 Correct 410 ms 24252 KB Output is correct
40 Correct 523 ms 24252 KB Output is correct
41 Correct 527 ms 24252 KB Output is correct
42 Correct 123 ms 24252 KB Output is correct
43 Correct 170 ms 24252 KB Output is correct
44 Correct 167 ms 24252 KB Output is correct
45 Correct 196 ms 24252 KB Output is correct
46 Correct 186 ms 24252 KB Output is correct
47 Correct 158 ms 24252 KB Output is correct
48 Correct 172 ms 24252 KB Output is correct
49 Correct 173 ms 24252 KB Output is correct
50 Correct 166 ms 24252 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 3 ms 392 KB Output is correct
4 Correct 3 ms 440 KB Output is correct
5 Correct 2 ms 444 KB Output is correct
6 Correct 2 ms 516 KB Output is correct
7 Correct 3 ms 516 KB Output is correct
8 Correct 3 ms 516 KB Output is correct
9 Correct 3 ms 516 KB Output is correct
10 Correct 3 ms 516 KB Output is correct
11 Correct 3 ms 644 KB Output is correct
12 Correct 3 ms 644 KB Output is correct
13 Correct 2 ms 644 KB Output is correct
14 Correct 2 ms 644 KB Output is correct
15 Correct 2 ms 644 KB Output is correct
16 Correct 4 ms 804 KB Output is correct
17 Correct 3 ms 804 KB Output is correct
18 Correct 3 ms 804 KB Output is correct
19 Correct 7 ms 976 KB Output is correct
20 Correct 7 ms 1004 KB Output is correct
21 Correct 8 ms 1020 KB Output is correct
22 Correct 18 ms 1020 KB Output is correct
23 Correct 13 ms 1020 KB Output is correct
24 Correct 14 ms 1036 KB Output is correct
25 Correct 12 ms 1040 KB Output is correct
26 Correct 12 ms 1052 KB Output is correct
27 Correct 342 ms 24124 KB Output is correct
28 Correct 455 ms 24172 KB Output is correct
29 Correct 425 ms 24172 KB Output is correct
30 Correct 382 ms 24172 KB Output is correct
31 Correct 636 ms 24172 KB Output is correct
32 Correct 987 ms 24252 KB Output is correct
33 Correct 771 ms 24252 KB Output is correct
34 Correct 704 ms 24252 KB Output is correct
35 Correct 2 ms 24252 KB Output is correct
36 Correct 439 ms 24252 KB Output is correct
37 Correct 1597 ms 24252 KB Output is correct
38 Correct 1782 ms 24252 KB Output is correct
39 Correct 1837 ms 24252 KB Output is correct
40 Correct 471 ms 24252 KB Output is correct
41 Correct 207 ms 24252 KB Output is correct
42 Correct 45 ms 24252 KB Output is correct
43 Correct 1835 ms 24252 KB Output is correct
44 Correct 1084 ms 24252 KB Output is correct
45 Correct 620 ms 24252 KB Output is correct
46 Correct 567 ms 24252 KB Output is correct
47 Correct 351 ms 24252 KB Output is correct
48 Correct 504 ms 24252 KB Output is correct
49 Correct 532 ms 24252 KB Output is correct
50 Correct 266 ms 24252 KB Output is correct
51 Correct 16 ms 24252 KB Output is correct
52 Correct 11 ms 24252 KB Output is correct
53 Correct 13 ms 24252 KB Output is correct
54 Correct 25 ms 24252 KB Output is correct
55 Correct 23 ms 24252 KB Output is correct
56 Correct 26 ms 24252 KB Output is correct
57 Correct 96 ms 24252 KB Output is correct
58 Correct 98 ms 24252 KB Output is correct
59 Correct 377 ms 24252 KB Output is correct
60 Correct 445 ms 24252 KB Output is correct
61 Correct 458 ms 24252 KB Output is correct
62 Correct 326 ms 24252 KB Output is correct
63 Correct 410 ms 24252 KB Output is correct
64 Correct 523 ms 24252 KB Output is correct
65 Correct 527 ms 24252 KB Output is correct
66 Correct 123 ms 24252 KB Output is correct
67 Correct 170 ms 24252 KB Output is correct
68 Correct 167 ms 24252 KB Output is correct
69 Correct 196 ms 24252 KB Output is correct
70 Correct 186 ms 24252 KB Output is correct
71 Correct 158 ms 24252 KB Output is correct
72 Correct 172 ms 24252 KB Output is correct
73 Correct 173 ms 24252 KB Output is correct
74 Correct 166 ms 24252 KB Output is correct
75 Correct 1222 ms 24252 KB Output is correct
76 Correct 454 ms 24252 KB Output is correct
77 Correct 303 ms 24252 KB Output is correct
78 Correct 314 ms 24252 KB Output is correct
79 Correct 1296 ms 24252 KB Output is correct
80 Correct 404 ms 24252 KB Output is correct
81 Correct 1695 ms 24252 KB Output is correct
82 Correct 1817 ms 24252 KB Output is correct
83 Correct 1688 ms 24252 KB Output is correct
84 Correct 1670 ms 24252 KB Output is correct
85 Correct 1756 ms 24252 KB Output is correct
86 Correct 1502 ms 24252 KB Output is correct
87 Correct 1479 ms 24252 KB Output is correct
88 Correct 1687 ms 24252 KB Output is correct
89 Correct 1695 ms 24252 KB Output is correct
90 Correct 1656 ms 24252 KB Output is correct
91 Correct 1736 ms 24252 KB Output is correct
92 Correct 1656 ms 24252 KB Output is correct
93 Correct 830 ms 24252 KB Output is correct
94 Correct 1006 ms 24252 KB Output is correct
95 Correct 808 ms 24252 KB Output is correct
96 Correct 881 ms 24252 KB Output is correct
97 Correct 1014 ms 24252 KB Output is correct
98 Correct 807 ms 24252 KB Output is correct
99 Correct 863 ms 24252 KB Output is correct
100 Correct 772 ms 24252 KB Output is correct
101 Correct 935 ms 24252 KB Output is correct
102 Correct 1089 ms 24252 KB Output is correct
103 Correct 1257 ms 24252 KB Output is correct
104 Correct 1010 ms 24252 KB Output is correct
105 Correct 400 ms 24252 KB Output is correct
106 Correct 464 ms 24252 KB Output is correct
107 Correct 613 ms 24252 KB Output is correct
108 Correct 534 ms 24252 KB Output is correct
109 Correct 548 ms 24252 KB Output is correct
110 Correct 524 ms 24252 KB Output is correct
111 Correct 529 ms 24252 KB Output is correct
112 Correct 541 ms 24252 KB Output is correct
113 Correct 582 ms 24252 KB Output is correct
114 Correct 560 ms 24252 KB Output is correct
115 Correct 501 ms 24252 KB Output is correct
116 Correct 585 ms 24252 KB Output is correct