oj.uz

Submission #1033492

# Submission time Handle Problem Language Result Execution time Memory
1033492 2024-07-24T22:53:31 Z crimson231 Circle selection (APIO18_circle_selection) C++17
100 / 100
 548 ms 49744 KB 
#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 long double ld;
typedef double ld;
typedef std::pair<int, int> pi;
typedef std::vector<int> Vint;
typedef std::vector<ld> Vld;
#define radius x
#define idx y
const ld INF = 1e17;
const ld TOL = 1e-10;
const ld PI = acos(-1);
const int LEN = 3e5 + 5;
inline bool zero(const ld& x) { return std::abs(x) < TOL; }
inline int sign(const ld& x) { return x < -TOL ? -1 : x > TOL; }
inline ll sq(const ll& x) { return x * x; }

int N, M, Q;
int V[LEN];
struct Pos {
	ll x, y;
	Pos(ll X = 0, ll Y = 0) : x(X), y(Y) {}
	bool operator == (const Pos& p) const { return x == p.x && y == p.y; }
	bool operator != (const Pos& p) const { return x != p.x || y != p.y; }
	bool operator < (const Pos& p) const { return x == p.x ? y < p.y : x < p.x; }
	bool operator <= (const Pos& p) const { return x == p.x ? y <= p.y : x <= p.x; }
	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 }; }
	ll operator * (const Pos& p) const { return (ll)x * p.x + (ll)y * p.y; }
	ll operator / (const Pos& p) const { return (ll)x * p.y - (ll)y * p.x; }
	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; }
	Pos& operator -= (const Pos& p) { x -= p.x; y -= p.y; return *this; }
	Pos& operator *= (const int& scale) { x *= scale; y *= scale; return *this; }
	Pos& operator /= (const int& scale) { x /= scale; y /= scale; return *this; }
	Pos operator - () const { return { -x, -y }; }
	Pos operator ~ () const { return { -y, x }; }
	Pos operator ! () const { return { y, x }; }
	ll xy() const { return (ll)x * y; }
	ll Euc() const { return (ll)x * x + (ll)y * y; }
	ll Man() const { return std::abs(x) + std::abs(y); }
	ld mag() const { return hypot(x, y); }
	ld rad() const { return atan2(y, x); }
	friend ld rad(const Pos& p1, const Pos& p2) { return atan2l(p1 / p2, p1 * p2); }
	int quad() const { return y > 0 || y == 0 && x >= 0; }
	friend bool cmpq(const Pos& a, const Pos& b) { return (a.quad() != b.quad()) ? a.quad() < b.quad() : a / b > 0; }
	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; }
}; const Pos O = Pos(0, 0);
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 operator == (const Circle& q) const { return c == q.c && r == q.r; }
	bool operator != (const Circle& q) const { return !(*this == q); }
	bool operator < (const Circle& q) const { return r < q.r && (c - q.c).Euc() <= sq(q.r - r); }
	bool operator <= (const Circle& q) const { return *this < q || *this == q; }
	bool meet(const Circle& q) const { return sq(r + q.r) >= (c - q.c).Euc(); }
	bool operator > (const Pos& p) const { return r > (c - p).mag(); }
	bool operator >= (const Pos& p) const { return r + TOL > (c - p).mag(); }
	bool operator < (const Pos& p) const { return r < (c - p).mag(); }
	Circle operator + (const Circle& C) const { return { c + C.c, r + C.r }; }
	Circle operator - (const Circle& C) const { return { c - C.c, r - C.r }; }
	ld H(const ld& th) const { return sin(th) * c.x + cos(th) * c.y + r; }//coord trans | check right
	ld A() const { return 1. * r * r * PI; }
	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; }
} INVAL = { { 0, 0 }, -1 };
bool cmpr(const Circle& p, const Circle& q) { return p.r > q.r; }//sort descending order
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;
		if ((1ll << ex) >= (R[i].radius) * 2) {
			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;
				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

Compilation message

circle_selection.cpp: In member function 'int Pos::quad() const':
circle_selection.cpp:54:44: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   54 |  int quad() const { return y > 0 || y == 0 && x >= 0; }
      |                                     ~~~~~~~^~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1628 KB Output is correct
2 Correct 1 ms 1632 KB Output is correct
3 Correct 1 ms 1416 KB Output is correct
4 Correct 1 ms 1488 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1484 KB Output is correct
7 Correct 1 ms 1624 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 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 1488 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 1696 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 1880 KB Output is correct
20 Correct 2 ms 1884 KB Output is correct
21 Correct 3 ms 1884 KB Output is correct
22 Correct 6 ms 2396 KB Output is correct
23 Correct 6 ms 2244 KB Output is correct
24 Correct 6 ms 2396 KB Output is correct
25 Correct 5 ms 2396 KB Output is correct
26 Correct 6 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 22272 KB Output is correct
2 Correct 102 ms 22220 KB Output is correct
3 Correct 107 ms 23496 KB Output is correct
4 Correct 103 ms 22260 KB Output is correct
5 Correct 115 ms 22096 KB Output is correct
6 Correct 206 ms 30476 KB Output is correct
7 Correct 120 ms 23124 KB Output is correct
8 Correct 140 ms 24748 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1880 KB Output is correct
2 Correct 139 ms 18052 KB Output is correct
3 Correct 449 ms 49532 KB Output is correct
4 Correct 499 ms 49608 KB Output is correct
5 Correct 403 ms 45436 KB Output is correct
6 Correct 162 ms 23580 KB Output is correct
7 Correct 77 ms 13152 KB Output is correct
8 Correct 16 ms 4076 KB Output is correct
9 Correct 528 ms 48848 KB Output is correct
10 Correct 331 ms 43712 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 450 ms 49296 KB Output is correct
2 Correct 427 ms 48468 KB Output is correct
3 Correct 153 ms 30052 KB Output is correct
4 Correct 480 ms 48848 KB Output is correct
5 Correct 543 ms 49020 KB Output is correct
6 Correct 122 ms 26196 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1628 KB Output is correct
2 Correct 1 ms 1632 KB Output is correct
3 Correct 1 ms 1416 KB Output is correct
4 Correct 1 ms 1488 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1484 KB Output is correct
7 Correct 1 ms 1624 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 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 1488 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 1696 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 1880 KB Output is correct
20 Correct 2 ms 1884 KB Output is correct
21 Correct 3 ms 1884 KB Output is correct
22 Correct 6 ms 2396 KB Output is correct
23 Correct 6 ms 2244 KB Output is correct
24 Correct 6 ms 2396 KB Output is correct
25 Correct 5 ms 2396 KB Output is correct
26 Correct 6 ms 2396 KB Output is correct
27 Correct 4 ms 2264 KB Output is correct
28 Correct 4 ms 2260 KB Output is correct
29 Correct 4 ms 2396 KB Output is correct
30 Correct 12 ms 3172 KB Output is correct
31 Correct 15 ms 3164 KB Output is correct
32 Correct 11 ms 3164 KB Output is correct
33 Correct 40 ms 9684 KB Output is correct
34 Correct 37 ms 9684 KB Output is correct
35 Correct 40 ms 9280 KB Output is correct
36 Correct 124 ms 17608 KB Output is correct
37 Correct 123 ms 17860 KB Output is correct
38 Correct 118 ms 17920 KB Output is correct
39 Correct 118 ms 15304 KB Output is correct
40 Correct 118 ms 15240 KB Output is correct
41 Correct 111 ms 15192 KB Output is correct
42 Correct 60 ms 13160 KB Output is correct
43 Correct 114 ms 17600 KB Output is correct
44 Correct 109 ms 17672 KB Output is correct
45 Correct 110 ms 17608 KB Output is correct
46 Correct 105 ms 17616 KB Output is correct
47 Correct 106 ms 17672 KB Output is correct
48 Correct 110 ms 17596 KB Output is correct
49 Correct 123 ms 17548 KB Output is correct
50 Correct 102 ms 17924 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1628 KB Output is correct
2 Correct 1 ms 1632 KB Output is correct
3 Correct 1 ms 1416 KB Output is correct
4 Correct 1 ms 1488 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1484 KB Output is correct
7 Correct 1 ms 1624 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 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 1488 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 1696 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 1880 KB Output is correct
20 Correct 2 ms 1884 KB Output is correct
21 Correct 3 ms 1884 KB Output is correct
22 Correct 6 ms 2396 KB Output is correct
23 Correct 6 ms 2244 KB Output is correct
24 Correct 6 ms 2396 KB Output is correct
25 Correct 5 ms 2396 KB Output is correct
26 Correct 6 ms 2396 KB Output is correct
27 Correct 105 ms 22272 KB Output is correct
28 Correct 102 ms 22220 KB Output is correct
29 Correct 107 ms 23496 KB Output is correct
30 Correct 103 ms 22260 KB Output is correct
31 Correct 115 ms 22096 KB Output is correct
32 Correct 206 ms 30476 KB Output is correct
33 Correct 120 ms 23124 KB Output is correct
34 Correct 140 ms 24748 KB Output is correct
35 Correct 1 ms 1880 KB Output is correct
36 Correct 139 ms 18052 KB Output is correct
37 Correct 449 ms 49532 KB Output is correct
38 Correct 499 ms 49608 KB Output is correct
39 Correct 403 ms 45436 KB Output is correct
40 Correct 162 ms 23580 KB Output is correct
41 Correct 77 ms 13152 KB Output is correct
42 Correct 16 ms 4076 KB Output is correct
43 Correct 528 ms 48848 KB Output is correct
44 Correct 331 ms 43712 KB Output is correct
45 Correct 450 ms 49296 KB Output is correct
46 Correct 427 ms 48468 KB Output is correct
47 Correct 153 ms 30052 KB Output is correct
48 Correct 480 ms 48848 KB Output is correct
49 Correct 543 ms 49020 KB Output is correct
50 Correct 122 ms 26196 KB Output is correct
51 Correct 4 ms 2264 KB Output is correct
52 Correct 4 ms 2260 KB Output is correct
53 Correct 4 ms 2396 KB Output is correct
54 Correct 12 ms 3172 KB Output is correct
55 Correct 15 ms 3164 KB Output is correct
56 Correct 11 ms 3164 KB Output is correct
57 Correct 40 ms 9684 KB Output is correct
58 Correct 37 ms 9684 KB Output is correct
59 Correct 40 ms 9280 KB Output is correct
60 Correct 124 ms 17608 KB Output is correct
61 Correct 123 ms 17860 KB Output is correct
62 Correct 118 ms 17920 KB Output is correct
63 Correct 118 ms 15304 KB Output is correct
64 Correct 118 ms 15240 KB Output is correct
65 Correct 111 ms 15192 KB Output is correct
66 Correct 60 ms 13160 KB Output is correct
67 Correct 114 ms 17600 KB Output is correct
68 Correct 109 ms 17672 KB Output is correct
69 Correct 110 ms 17608 KB Output is correct
70 Correct 105 ms 17616 KB Output is correct
71 Correct 106 ms 17672 KB Output is correct
72 Correct 110 ms 17596 KB Output is correct
73 Correct 123 ms 17548 KB Output is correct
74 Correct 102 ms 17924 KB Output is correct
75 Correct 130 ms 24488 KB Output is correct
76 Correct 132 ms 24308 KB Output is correct
77 Correct 105 ms 25652 KB Output is correct
78 Correct 119 ms 25620 KB Output is correct
79 Correct 121 ms 24084 KB Output is correct
80 Correct 105 ms 25372 KB Output is correct
81 Correct 548 ms 49488 KB Output is correct
82 Correct 472 ms 49500 KB Output is correct
83 Correct 499 ms 49356 KB Output is correct
84 Correct 410 ms 49744 KB Output is correct
85 Correct 462 ms 49356 KB Output is correct
86 Correct 410 ms 49532 KB Output is correct
87 Correct 455 ms 49240 KB Output is correct
88 Correct 411 ms 41372 KB Output is correct
89 Correct 361 ms 41252 KB Output is correct
90 Correct 370 ms 41316 KB Output is correct
91 Correct 378 ms 41344 KB Output is correct
92 Correct 353 ms 41168 KB Output is correct
93 Correct 430 ms 48376 KB Output is correct
94 Correct 467 ms 48712 KB Output is correct
95 Correct 438 ms 48504 KB Output is correct
96 Correct 437 ms 48448 KB Output is correct
97 Correct 418 ms 48256 KB Output is correct
98 Correct 300 ms 35388 KB Output is correct
99 Correct 446 ms 48508 KB Output is correct
100 Correct 418 ms 48380 KB Output is correct
101 Correct 338 ms 40576 KB Output is correct
102 Correct 454 ms 47996 KB Output is correct
103 Correct 509 ms 47432 KB Output is correct
104 Correct 491 ms 48252 KB Output is correct
105 Correct 196 ms 36992 KB Output is correct
106 Correct 385 ms 47488 KB Output is correct
107 Correct 428 ms 47668 KB Output is correct
108 Correct 427 ms 47740 KB Output is correct
109 Correct 374 ms 47744 KB Output is correct
110 Correct 432 ms 47744 KB Output is correct
111 Correct 364 ms 47696 KB Output is correct
112 Correct 440 ms 47740 KB Output is correct
113 Correct 405 ms 47660 KB Output is correct
114 Correct 410 ms 47756 KB Output is correct
115 Correct 361 ms 47612 KB Output is correct
116 Correct 406 ms 47584 KB Output is correct