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답안 #434992

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
434992 2021-06-22T17:39:13 Z model_code 분수 공원 (IOI21_parks) C++17
30 / 100
 4000 ms 30208 KB 
/**
 * Task: parks
 * Author: Kian Mirjalali
 * Solution: Solution based on chessboard coloring of cells (trees)
 *  Time: O(n) on average
 *  It uses a hash map to find the index of a vertex by its coordinate.
 * 	The solution is correct but it will become slow on some inputs due to the bad hash function.
 */
#include "parks.h"
#include <complex>
#include <unordered_map>
using namespace std;


#define tpc(C) template<class C>
#define allOf(c) ((c).begin()), ((c).end())
#define fori(i, a, b) for (int i = (a); i < int(b); i++)
#define forn(i, n) fori(i, 0, (n))
#define dbg(x) #x << "=" << (x)
#define show(x) cerr << dbg(x) << endl

tpc(C) inline int sz(const C& c) { return c.size(); }

typedef vector<int> VI;

typedef complex<int> Point;
#define X real()
#define Y imag()

/////////////////////////

const Point MOVES[] = {
	{-2, 0},
	{+2, 0},
	{0, -2},
	{0, +2},
};
const int LEFT = 0;
const int RIGHT = 1;
const int UP = 3;

/////////////////////////

struct PointHash {
	inline size_t operator()(const Point &a) const {
		auto h = hash<int>();
		return h(a.X) ^ h(a.Y); // XOR is not a good hash function
	}
};

class Point2Index {
	unordered_map<Point, int, PointHash> p2i;
public:
	inline Point2Index() {
	}

	inline void put(const Point& p, int i) {
		p2i[p] = i;
	}

	inline int get(const Point& p) const {
		auto it = p2i.find(p);
		return (it == p2i.end()) ? -1 : it->second;
	}

	inline bool contains(const Point& p) const {
		return p2i.find(p) != p2i.end();
	}
};

/////////////////////////

VI q, mark;

inline void enq(int x) {
	if (mark[x])
		return;
	mark[x] = true;
	q.push_back(x);
}

/////////////////////////


int construct_roads(VI x, VI y) {
	int n = x.size();
	vector<Point> vertex(n);
	Point2Index v2i;
	forn(i, n) {
		vertex[i] = Point(x[i], y[i]);
		v2i.put(vertex[i], i);
	}

	{// Check connectivity
		q.clear();
		q.reserve(n);
		mark.assign(n, false);
		enq(0);
		for (int tail = 0; tail < sz(q); tail++) {
			Point p = vertex[q[tail]];
			for (auto& mov : MOVES) {
				int nei = v2i.get(p+mov);
				if (nei >= 0)
					enq(nei);
			}
		}
		if (sz(q) != n)
			return 0;
	}

	VI u, v, a, b;
	forn(i, n) {
		Point pi = vertex[i];
		bool is_white_cell = (((pi.X+pi.Y)&2) == 0);
		{
			Point pj = pi + MOVES[RIGHT];
			int j = v2i.get(pj);
			if ((j >= 0) && !(v2i.contains(pi+MOVES[UP]) && v2i.contains(pj+MOVES[UP]) && is_white_cell)) {
				u.push_back(i);
				v.push_back(j);
				a.push_back(pi.X+1);
				b.push_back(pi.Y+(is_white_cell?+1:-1));
			}
		}
		{
			Point pj = pi + MOVES[UP];
			int j = v2i.get(pj);
			if ((j >= 0) && !(v2i.contains(pi+MOVES[LEFT]) && v2i.contains(pj+MOVES[LEFT]) && is_white_cell)) {
				u.push_back(i);
				v.push_back(j);
				a.push_back(pi.X+(is_white_cell?-1:+1));
				b.push_back(pi.Y+1);
			}
		}
	}
	build(u, v, a, b);
	return 1;
}

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 145 ms 14496 KB Output is correct
10 Correct 10 ms 1868 KB Output is correct
11 Correct 47 ms 7808 KB Output is correct
12 Correct 11 ms 2472 KB Output is correct
13 Correct 22 ms 4344 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 154 ms 14436 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 145 ms 14496 KB Output is correct
10 Correct 10 ms 1868 KB Output is correct
11 Correct 47 ms 7808 KB Output is correct
12 Correct 11 ms 2472 KB Output is correct
13 Correct 22 ms 4344 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 154 ms 14436 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 506 ms 28708 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 516 KB Output is correct
27 Correct 3 ms 588 KB Output is correct
28 Correct 109 ms 11316 KB Output is correct
29 Correct 185 ms 16752 KB Output is correct
30 Correct 369 ms 22460 KB Output is correct
31 Correct 398 ms 28788 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 460 KB Output is correct
45 Correct 130 ms 14424 KB Output is correct
46 Correct 321 ms 20612 KB Output is correct
47 Correct 293 ms 20608 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 145 ms 14496 KB Output is correct
10 Correct 10 ms 1868 KB Output is correct
11 Correct 47 ms 7808 KB Output is correct
12 Correct 11 ms 2472 KB Output is correct
13 Correct 22 ms 4344 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 154 ms 14436 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 506 ms 28708 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 516 KB Output is correct
27 Correct 3 ms 588 KB Output is correct
28 Correct 109 ms 11316 KB Output is correct
29 Correct 185 ms 16752 KB Output is correct
30 Correct 369 ms 22460 KB Output is correct
31 Correct 398 ms 28788 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 460 KB Output is correct
45 Correct 130 ms 14424 KB Output is correct
46 Correct 321 ms 20612 KB Output is correct
47 Correct 293 ms 20608 KB Output is correct
48 Correct 1 ms 244 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 1 ms 204 KB Output is correct
53 Correct 1 ms 204 KB Output is correct
54 Correct 1 ms 204 KB Output is correct
55 Correct 533 ms 28772 KB Output is correct
56 Correct 1 ms 204 KB Output is correct
57 Correct 3 ms 528 KB Output is correct
58 Correct 6 ms 1248 KB Output is correct
59 Correct 7 ms 1100 KB Output is correct
60 Correct 191 ms 14528 KB Output is correct
61 Correct 308 ms 19528 KB Output is correct
62 Correct 403 ms 23056 KB Output is correct
63 Correct 533 ms 28812 KB Output is correct
64 Correct 1 ms 204 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 1 ms 204 KB Output is correct
67 Correct 493 ms 28748 KB Output is correct
68 Correct 419 ms 28796 KB Output is correct
69 Correct 536 ms 28656 KB Output is correct
70 Correct 2 ms 588 KB Output is correct
71 Correct 3 ms 844 KB Output is correct
72 Correct 132 ms 14464 KB Output is correct
73 Correct 396 ms 21224 KB Output is correct
74 Correct 413 ms 28756 KB Output is correct
75 Correct 474 ms 30208 KB Output is correct
76 Correct 491 ms 28876 KB Output is correct
77 Correct 3 ms 588 KB Output is correct
78 Correct 5 ms 1032 KB Output is correct
79 Correct 189 ms 14840 KB Output is correct
80 Correct 455 ms 21816 KB Output is correct
81 Correct 441 ms 29552 KB Output is correct

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 145 ms 14496 KB Output is correct
10 Correct 10 ms 1868 KB Output is correct
11 Correct 47 ms 7808 KB Output is correct
12 Correct 11 ms 2472 KB Output is correct
13 Correct 22 ms 4344 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 154 ms 14436 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Execution timed out 4075 ms 18444 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 145 ms 14496 KB Output is correct
10 Correct 10 ms 1868 KB Output is correct
11 Correct 47 ms 7808 KB Output is correct
12 Correct 11 ms 2472 KB Output is correct
13 Correct 22 ms 4344 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 154 ms 14436 KB Output is correct
17 Correct 593 ms 28732 KB Output is correct
18 Correct 593 ms 28704 KB Output is correct
19 Execution timed out 4053 ms 19396 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 145 ms 14496 KB Output is correct
10 Correct 10 ms 1868 KB Output is correct
11 Correct 47 ms 7808 KB Output is correct
12 Correct 11 ms 2472 KB Output is correct
13 Correct 22 ms 4344 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 154 ms 14436 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 506 ms 28708 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 516 KB Output is correct
27 Correct 3 ms 588 KB Output is correct
28 Correct 109 ms 11316 KB Output is correct
29 Correct 185 ms 16752 KB Output is correct
30 Correct 369 ms 22460 KB Output is correct
31 Correct 398 ms 28788 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 460 KB Output is correct
45 Correct 130 ms 14424 KB Output is correct
46 Correct 321 ms 20612 KB Output is correct
47 Correct 293 ms 20608 KB Output is correct
48 Correct 1 ms 244 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 1 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 1 ms 204 KB Output is correct
53 Correct 1 ms 204 KB Output is correct
54 Correct 1 ms 204 KB Output is correct
55 Correct 533 ms 28772 KB Output is correct
56 Correct 1 ms 204 KB Output is correct
57 Correct 3 ms 528 KB Output is correct
58 Correct 6 ms 1248 KB Output is correct
59 Correct 7 ms 1100 KB Output is correct
60 Correct 191 ms 14528 KB Output is correct
61 Correct 308 ms 19528 KB Output is correct
62 Correct 403 ms 23056 KB Output is correct
63 Correct 533 ms 28812 KB Output is correct
64 Correct 1 ms 204 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 1 ms 204 KB Output is correct
67 Correct 493 ms 28748 KB Output is correct
68 Correct 419 ms 28796 KB Output is correct
69 Correct 536 ms 28656 KB Output is correct
70 Correct 2 ms 588 KB Output is correct
71 Correct 3 ms 844 KB Output is correct
72 Correct 132 ms 14464 KB Output is correct
73 Correct 396 ms 21224 KB Output is correct
74 Correct 413 ms 28756 KB Output is correct
75 Correct 474 ms 30208 KB Output is correct
76 Correct 491 ms 28876 KB Output is correct
77 Correct 3 ms 588 KB Output is correct
78 Correct 5 ms 1032 KB Output is correct
79 Correct 189 ms 14840 KB Output is correct
80 Correct 455 ms 21816 KB Output is correct
81 Correct 441 ms 29552 KB Output is correct
82 Correct 1 ms 204 KB Output is correct
83 Correct 1 ms 204 KB Output is correct
84 Correct 1 ms 204 KB Output is correct
85 Execution timed out 4075 ms 18444 KB Time limit exceeded
86 Halted 0 ms 0 KB -