#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <cassert>
#include <vector>
#include <unordered_map>
typedef long long ll;
typedef double ld;
typedef std::vector<int> Vint;
#define radius x
#define idx y
const int LEN = 3e5 + 5;
inline ll sq(const ll& x) { return x * x; }
int N;
int V[LEN];
struct Pos {
ll x, y;
Pos(ll X = 0, ll Y = 0) : x(X), y(Y) {}
Pos operator + (const Pos& p) const { return { x + p.x, y + p.y }; }
Pos operator - (const Pos& p) const { return { x - p.x, y - p.y }; }
Pos operator * (const int& n) const { return { x * n, y * n }; }
Pos operator / (const int& n) const { return { x / n, y / n }; }
Pos operator ^ (const Pos& p) const { return { x * p.x, y * p.y }; }
Pos& operator += (const Pos& p) { x += p.x; y += p.y; return *this; }
ll Euc() const { return (ll)x * x + (ll)y * y; }
friend std::istream& operator >> (std::istream& is, Pos& p) { is >> p.x >> p.y; return is; }
friend std::ostream& operator << (std::ostream& os, const Pos& p) { os << p.x << " " << p.y; return os; }
};
typedef std::vector<Pos> Polygon;
struct Circle {
Pos c;
ll r;
Circle(Pos C = Pos(0, 0), ll R = 0) : c(C), r(R) {}
bool meet(const Circle& q) const { return sq(r + q.r) >= (c - q.c).Euc(); }
friend std::istream& operator >> (std::istream& is, Circle& c) { is >> c.c >> c.r; return is; }
friend std::ostream& operator << (std::ostream& os, const Circle& c) { os << c.c << " " << c.r; return os; }
};
bool cmpri(const Pos& p, const Pos& q) { return p.radius == q.radius ? p.idx < q.idx : p.radius > q.radius; }
typedef std::vector<Circle> Disks;
typedef std::unordered_map<ll, Vint> Table;
Table idxs;
ll key(const Pos& p, const int& ex) { return ((p.x / (1ll << ex)) << 32) | (p.y / (1ll << ex)); }
void grid_init(Table& T, const Disks& C, const int& ex) {
T.clear();
int sz = C.size();
for (int i = 0; i < sz; i++) {
if (V[i]) continue;
const Pos& p = C[i].c;
T[key(p, ex)].push_back(i);
}
return;
}
void solve() {
std::cin.tie(0)->sync_with_stdio(0);
std::cout.tie(0);
std::cout << std::fixed;
std::cout.precision(15);
std::cin >> N;
Polygon R(N);
Disks C(N);
Pos w = Pos(1ll << 30, 1ll << 30);
for (int i = 0; i < N; i++) {
std::cin >> C[i];
C[i].c += w;
R[i] = Pos(C[i].r, i);
}
std::sort(R.begin(), R.end(), cmpri);
memset(V, 0, sizeof V);
int ex = 30;//exponent of the interval dividing the grid
while ((1ll << ex) >= (R[0].radius) * 2) ex--;
grid_init(idxs, C, ex);
for (int i = 0; i < N; i++) {
if (V[R[i].idx]) continue;
while ((1ll << ex) >= (R[i].radius) * 2) {
ex--;
grid_init(idxs, C, ex);
}
int I = R[i].idx;
Pos p = C[I].c;
for (int x = -2; x <= 2; x++) {
for (int y = -2; y <= 2; y++) {
ll dx = (1ll << ex) * x, dy = (1ll << ex) * y;
ll K = key(p + Pos(dx, dy), ex);
if (!idxs.count(K)) continue;
const Vint& vi = idxs[K];
for (const int& v : vi) {
if (V[v]) continue;
if (C[I].meet(C[v])) V[v] = I + 1;
}
}
}
}
for (int i = 0; i < N; i++) std::cout << V[i] << " ";
return;
}
int main() { solve(); return 0; }//APIO 2018 B boj15767 Circle selection
//refer to jjang36524
//https://jjang36524.tistory.com/26
//https://codeforces.com/blog/entry/59650
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1628 KB |
Output is correct |
2 |
Correct |
1 ms |
1628 KB |
Output is correct |
3 |
Correct |
1 ms |
1628 KB |
Output is correct |
4 |
Correct |
1 ms |
1628 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
1 ms |
1624 KB |
Output is correct |
7 |
Correct |
1 ms |
1628 KB |
Output is correct |
8 |
Correct |
1 ms |
1628 KB |
Output is correct |
9 |
Correct |
1 ms |
1628 KB |
Output is correct |
10 |
Correct |
1 ms |
1628 KB |
Output is correct |
11 |
Correct |
1 ms |
1488 KB |
Output is correct |
12 |
Correct |
1 ms |
1628 KB |
Output is correct |
13 |
Correct |
1 ms |
1628 KB |
Output is correct |
14 |
Correct |
1 ms |
1628 KB |
Output is correct |
15 |
Correct |
1 ms |
1628 KB |
Output is correct |
16 |
Correct |
1 ms |
1628 KB |
Output is correct |
17 |
Correct |
1 ms |
1628 KB |
Output is correct |
18 |
Correct |
1 ms |
1628 KB |
Output is correct |
19 |
Correct |
3 ms |
1836 KB |
Output is correct |
20 |
Correct |
3 ms |
1884 KB |
Output is correct |
21 |
Correct |
2 ms |
2048 KB |
Output is correct |
22 |
Correct |
6 ms |
2396 KB |
Output is correct |
23 |
Correct |
7 ms |
2396 KB |
Output is correct |
24 |
Correct |
8 ms |
2392 KB |
Output is correct |
25 |
Correct |
6 ms |
2396 KB |
Output is correct |
26 |
Correct |
6 ms |
2332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
105 ms |
22312 KB |
Output is correct |
2 |
Correct |
106 ms |
22224 KB |
Output is correct |
3 |
Correct |
111 ms |
23492 KB |
Output is correct |
4 |
Correct |
104 ms |
22320 KB |
Output is correct |
5 |
Correct |
112 ms |
22096 KB |
Output is correct |
6 |
Correct |
247 ms |
30540 KB |
Output is correct |
7 |
Correct |
126 ms |
23120 KB |
Output is correct |
8 |
Correct |
134 ms |
24748 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1624 KB |
Output is correct |
2 |
Correct |
125 ms |
17936 KB |
Output is correct |
3 |
Correct |
564 ms |
49548 KB |
Output is correct |
4 |
Correct |
516 ms |
49528 KB |
Output is correct |
5 |
Correct |
467 ms |
45432 KB |
Output is correct |
6 |
Correct |
165 ms |
23748 KB |
Output is correct |
7 |
Correct |
84 ms |
13000 KB |
Output is correct |
8 |
Correct |
13 ms |
3932 KB |
Output is correct |
9 |
Correct |
492 ms |
48680 KB |
Output is correct |
10 |
Correct |
370 ms |
43596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
501 ms |
49544 KB |
Output is correct |
2 |
Correct |
428 ms |
48592 KB |
Output is correct |
3 |
Correct |
157 ms |
30308 KB |
Output is correct |
4 |
Correct |
467 ms |
48828 KB |
Output is correct |
5 |
Correct |
486 ms |
49004 KB |
Output is correct |
6 |
Correct |
122 ms |
26196 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1628 KB |
Output is correct |
2 |
Correct |
1 ms |
1628 KB |
Output is correct |
3 |
Correct |
1 ms |
1628 KB |
Output is correct |
4 |
Correct |
1 ms |
1628 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
1 ms |
1624 KB |
Output is correct |
7 |
Correct |
1 ms |
1628 KB |
Output is correct |
8 |
Correct |
1 ms |
1628 KB |
Output is correct |
9 |
Correct |
1 ms |
1628 KB |
Output is correct |
10 |
Correct |
1 ms |
1628 KB |
Output is correct |
11 |
Correct |
1 ms |
1488 KB |
Output is correct |
12 |
Correct |
1 ms |
1628 KB |
Output is correct |
13 |
Correct |
1 ms |
1628 KB |
Output is correct |
14 |
Correct |
1 ms |
1628 KB |
Output is correct |
15 |
Correct |
1 ms |
1628 KB |
Output is correct |
16 |
Correct |
1 ms |
1628 KB |
Output is correct |
17 |
Correct |
1 ms |
1628 KB |
Output is correct |
18 |
Correct |
1 ms |
1628 KB |
Output is correct |
19 |
Correct |
3 ms |
1836 KB |
Output is correct |
20 |
Correct |
3 ms |
1884 KB |
Output is correct |
21 |
Correct |
2 ms |
2048 KB |
Output is correct |
22 |
Correct |
6 ms |
2396 KB |
Output is correct |
23 |
Correct |
7 ms |
2396 KB |
Output is correct |
24 |
Correct |
8 ms |
2392 KB |
Output is correct |
25 |
Correct |
6 ms |
2396 KB |
Output is correct |
26 |
Correct |
6 ms |
2332 KB |
Output is correct |
27 |
Correct |
4 ms |
2396 KB |
Output is correct |
28 |
Correct |
4 ms |
2396 KB |
Output is correct |
29 |
Correct |
4 ms |
2396 KB |
Output is correct |
30 |
Correct |
12 ms |
3164 KB |
Output is correct |
31 |
Correct |
13 ms |
3164 KB |
Output is correct |
32 |
Correct |
12 ms |
3164 KB |
Output is correct |
33 |
Correct |
43 ms |
9612 KB |
Output is correct |
34 |
Correct |
40 ms |
9684 KB |
Output is correct |
35 |
Correct |
40 ms |
9088 KB |
Output is correct |
36 |
Correct |
143 ms |
17864 KB |
Output is correct |
37 |
Correct |
126 ms |
17876 KB |
Output is correct |
38 |
Correct |
141 ms |
17860 KB |
Output is correct |
39 |
Correct |
177 ms |
15248 KB |
Output is correct |
40 |
Correct |
159 ms |
15248 KB |
Output is correct |
41 |
Correct |
163 ms |
15224 KB |
Output is correct |
42 |
Correct |
56 ms |
13156 KB |
Output is correct |
43 |
Correct |
109 ms |
17608 KB |
Output is correct |
44 |
Correct |
110 ms |
17668 KB |
Output is correct |
45 |
Correct |
110 ms |
17860 KB |
Output is correct |
46 |
Correct |
102 ms |
17608 KB |
Output is correct |
47 |
Correct |
111 ms |
17660 KB |
Output is correct |
48 |
Correct |
108 ms |
17612 KB |
Output is correct |
49 |
Correct |
108 ms |
17524 KB |
Output is correct |
50 |
Correct |
108 ms |
17604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1628 KB |
Output is correct |
2 |
Correct |
1 ms |
1628 KB |
Output is correct |
3 |
Correct |
1 ms |
1628 KB |
Output is correct |
4 |
Correct |
1 ms |
1628 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
1 ms |
1624 KB |
Output is correct |
7 |
Correct |
1 ms |
1628 KB |
Output is correct |
8 |
Correct |
1 ms |
1628 KB |
Output is correct |
9 |
Correct |
1 ms |
1628 KB |
Output is correct |
10 |
Correct |
1 ms |
1628 KB |
Output is correct |
11 |
Correct |
1 ms |
1488 KB |
Output is correct |
12 |
Correct |
1 ms |
1628 KB |
Output is correct |
13 |
Correct |
1 ms |
1628 KB |
Output is correct |
14 |
Correct |
1 ms |
1628 KB |
Output is correct |
15 |
Correct |
1 ms |
1628 KB |
Output is correct |
16 |
Correct |
1 ms |
1628 KB |
Output is correct |
17 |
Correct |
1 ms |
1628 KB |
Output is correct |
18 |
Correct |
1 ms |
1628 KB |
Output is correct |
19 |
Correct |
3 ms |
1836 KB |
Output is correct |
20 |
Correct |
3 ms |
1884 KB |
Output is correct |
21 |
Correct |
2 ms |
2048 KB |
Output is correct |
22 |
Correct |
6 ms |
2396 KB |
Output is correct |
23 |
Correct |
7 ms |
2396 KB |
Output is correct |
24 |
Correct |
8 ms |
2392 KB |
Output is correct |
25 |
Correct |
6 ms |
2396 KB |
Output is correct |
26 |
Correct |
6 ms |
2332 KB |
Output is correct |
27 |
Correct |
105 ms |
22312 KB |
Output is correct |
28 |
Correct |
106 ms |
22224 KB |
Output is correct |
29 |
Correct |
111 ms |
23492 KB |
Output is correct |
30 |
Correct |
104 ms |
22320 KB |
Output is correct |
31 |
Correct |
112 ms |
22096 KB |
Output is correct |
32 |
Correct |
247 ms |
30540 KB |
Output is correct |
33 |
Correct |
126 ms |
23120 KB |
Output is correct |
34 |
Correct |
134 ms |
24748 KB |
Output is correct |
35 |
Correct |
1 ms |
1624 KB |
Output is correct |
36 |
Correct |
125 ms |
17936 KB |
Output is correct |
37 |
Correct |
564 ms |
49548 KB |
Output is correct |
38 |
Correct |
516 ms |
49528 KB |
Output is correct |
39 |
Correct |
467 ms |
45432 KB |
Output is correct |
40 |
Correct |
165 ms |
23748 KB |
Output is correct |
41 |
Correct |
84 ms |
13000 KB |
Output is correct |
42 |
Correct |
13 ms |
3932 KB |
Output is correct |
43 |
Correct |
492 ms |
48680 KB |
Output is correct |
44 |
Correct |
370 ms |
43596 KB |
Output is correct |
45 |
Correct |
501 ms |
49544 KB |
Output is correct |
46 |
Correct |
428 ms |
48592 KB |
Output is correct |
47 |
Correct |
157 ms |
30308 KB |
Output is correct |
48 |
Correct |
467 ms |
48828 KB |
Output is correct |
49 |
Correct |
486 ms |
49004 KB |
Output is correct |
50 |
Correct |
122 ms |
26196 KB |
Output is correct |
51 |
Correct |
4 ms |
2396 KB |
Output is correct |
52 |
Correct |
4 ms |
2396 KB |
Output is correct |
53 |
Correct |
4 ms |
2396 KB |
Output is correct |
54 |
Correct |
12 ms |
3164 KB |
Output is correct |
55 |
Correct |
13 ms |
3164 KB |
Output is correct |
56 |
Correct |
12 ms |
3164 KB |
Output is correct |
57 |
Correct |
43 ms |
9612 KB |
Output is correct |
58 |
Correct |
40 ms |
9684 KB |
Output is correct |
59 |
Correct |
40 ms |
9088 KB |
Output is correct |
60 |
Correct |
143 ms |
17864 KB |
Output is correct |
61 |
Correct |
126 ms |
17876 KB |
Output is correct |
62 |
Correct |
141 ms |
17860 KB |
Output is correct |
63 |
Correct |
177 ms |
15248 KB |
Output is correct |
64 |
Correct |
159 ms |
15248 KB |
Output is correct |
65 |
Correct |
163 ms |
15224 KB |
Output is correct |
66 |
Correct |
56 ms |
13156 KB |
Output is correct |
67 |
Correct |
109 ms |
17608 KB |
Output is correct |
68 |
Correct |
110 ms |
17668 KB |
Output is correct |
69 |
Correct |
110 ms |
17860 KB |
Output is correct |
70 |
Correct |
102 ms |
17608 KB |
Output is correct |
71 |
Correct |
111 ms |
17660 KB |
Output is correct |
72 |
Correct |
108 ms |
17612 KB |
Output is correct |
73 |
Correct |
108 ms |
17524 KB |
Output is correct |
74 |
Correct |
108 ms |
17604 KB |
Output is correct |
75 |
Correct |
145 ms |
24416 KB |
Output is correct |
76 |
Correct |
115 ms |
24516 KB |
Output is correct |
77 |
Correct |
117 ms |
25508 KB |
Output is correct |
78 |
Correct |
112 ms |
25492 KB |
Output is correct |
79 |
Correct |
136 ms |
24100 KB |
Output is correct |
80 |
Correct |
106 ms |
25484 KB |
Output is correct |
81 |
Correct |
538 ms |
49420 KB |
Output is correct |
82 |
Correct |
503 ms |
49356 KB |
Output is correct |
83 |
Correct |
469 ms |
49240 KB |
Output is correct |
84 |
Correct |
449 ms |
49872 KB |
Output is correct |
85 |
Correct |
487 ms |
49332 KB |
Output is correct |
86 |
Correct |
418 ms |
49536 KB |
Output is correct |
87 |
Correct |
466 ms |
49232 KB |
Output is correct |
88 |
Correct |
525 ms |
41276 KB |
Output is correct |
89 |
Correct |
598 ms |
41424 KB |
Output is correct |
90 |
Correct |
513 ms |
41532 KB |
Output is correct |
91 |
Correct |
547 ms |
41304 KB |
Output is correct |
92 |
Correct |
601 ms |
41452 KB |
Output is correct |
93 |
Correct |
487 ms |
48444 KB |
Output is correct |
94 |
Correct |
571 ms |
48644 KB |
Output is correct |
95 |
Correct |
540 ms |
48512 KB |
Output is correct |
96 |
Correct |
436 ms |
48452 KB |
Output is correct |
97 |
Correct |
453 ms |
48284 KB |
Output is correct |
98 |
Correct |
302 ms |
35356 KB |
Output is correct |
99 |
Correct |
451 ms |
48508 KB |
Output is correct |
100 |
Correct |
448 ms |
48188 KB |
Output is correct |
101 |
Correct |
349 ms |
40568 KB |
Output is correct |
102 |
Correct |
425 ms |
47996 KB |
Output is correct |
103 |
Correct |
556 ms |
47552 KB |
Output is correct |
104 |
Correct |
477 ms |
48332 KB |
Output is correct |
105 |
Correct |
225 ms |
36992 KB |
Output is correct |
106 |
Correct |
385 ms |
47480 KB |
Output is correct |
107 |
Correct |
371 ms |
47748 KB |
Output is correct |
108 |
Correct |
401 ms |
47740 KB |
Output is correct |
109 |
Correct |
375 ms |
47740 KB |
Output is correct |
110 |
Correct |
413 ms |
47740 KB |
Output is correct |
111 |
Correct |
425 ms |
47676 KB |
Output is correct |
112 |
Correct |
377 ms |
47560 KB |
Output is correct |
113 |
Correct |
411 ms |
47796 KB |
Output is correct |
114 |
Correct |
365 ms |
47596 KB |
Output is correct |
115 |
Correct |
446 ms |
47580 KB |
Output is correct |
116 |
Correct |
403 ms |
47672 KB |
Output is correct |