답안 #895626

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
895626 2023-12-30T12:04:07 Z lmkae Mecho (IOI09_mecho) C++14
100 / 100
520 ms 7016 KB
#include <bits/stdc++.h>
using namespace std;

const int MAX_N = 800;
vector<string> field(MAX_N);
int n, s;

bool valid_sq(int x, int y) {
	return x >= 0 && x < n && y >= 0 && y < n &&
	       (field[x][y] == 'G' || field[x][y] == 'M');
}

bool mecho_reached(int mecho_dis, int bees_dis) {
	return mecho_dis / s < bees_dis;
}

int main() {
	cin >> n >> s;
	for (int i = 0; i < n; i++) { cin >> field[i]; }

	vector<pair<int, int>> hives;
	int mechox, mechoy, home_x, home_y;
	// find x and y coordinates for for Mecho, the bees and the cave
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			if (field[i][j] == 'M') {
				mechox = i;
				mechoy = j;
			} else if (field[i][j] == 'H') {
				hives.push_back({i, j});
			} else if (field[i][j] == 'D') {
				home_x = i;
				home_y = j;
			}
		}
	}

	int dx[] = {-1, 0, 1, 0};
	int dy[] = {0, -1, 0, 1};

	// binary search on waiting time
	int l = 0;
	int r = n * n;
	while (l <= r) {
		vector<vector<bool>> bees_visited(n, vector<bool>(n));
		vector<vector<bool>> mecho_visited(n, vector<bool>(n));
		vector<vector<int>> bees_time(n, vector<int>(n));
		vector<vector<int>> mecho_time(n, vector<int>(n));
		queue<pair<int, int>> q;

		int eating_time = (l + r) / 2;

		// move bees
		for (auto i : hives) {
			q.push({i.first, i.second});
			bees_visited[i.first][i.second] = true;
		}

		while (!q.empty()) {
			int x = q.front().first, y = q.front().second;
			q.pop();
			for (int i = 0; i < 4; i++) {
				int nx = x + dx[i], ny = y + dy[i];
				if (valid_sq(nx, ny) && !bees_visited[nx][ny]) {
					bees_time[nx][ny] = bees_time[x][y] + 1;
					q.push({nx, ny});
					bees_visited[nx][ny] = true;
				}
			}
		}

		// move Mecho
		q.push({mechox, mechoy});
		mecho_visited[mechox][mechoy] = true;
		if (bees_time[mechox][mechoy] <= eating_time) { q.pop(); }

		while (!q.empty()) {
			int x = q.front().first, y = q.front().second;
			q.pop();
			for (int i = 0; i < 4; i++) {
				int nx = x + dx[i], ny = y + dy[i];
				/*
				 * check if mecho reaces node[x][y] before the bees
				 * divide the time mecho takes to reach a node by s, since
				 * mecho walks s steps at a time.
				 * substract the eating time from the time taken for the
				 * bees to reach the node, because that time was used by
				 * mecho for eating
				 */
				if (valid_sq(nx, ny) && !mecho_visited[nx][ny] &&
				    mecho_reached(mecho_time[x][y] + 1,
				                  bees_time[nx][ny] - eating_time)) {
					mecho_visited[nx][ny] = true;
					q.push({nx, ny});
					mecho_time[nx][ny] = mecho_time[x][y] + 1;
				}
			}
		}

		// check if mecho reached a node surrounding his cave before the bees
		bool reached = false;
		for (int i = 0; i < 4; i++) {
			int nx = home_x + dx[i], ny = home_y + dy[i];
			if (valid_sq(nx, ny) &&
			    mecho_reached(mecho_time[nx][ny],
			                  bees_time[nx][ny] - eating_time) &&
			    mecho_visited[nx][ny]) {
				reached = true;
			}
		}
		if (reached) {
			l = eating_time + 1;
		} else {
			r = eating_time - 1;
		}
	}

	cout << l - 1 << '\n';
}

Compilation message

mecho.cpp: In function 'int main()':
mecho.cpp:74:31: warning: 'mechoy' may be used uninitialized in this function [-Wmaybe-uninitialized]
   74 |   mecho_visited[mechox][mechoy] = true;
      |                               ^
mecho.cpp:74:23: warning: 'mechox' may be used uninitialized in this function [-Wmaybe-uninitialized]
   74 |   mecho_visited[mechox][mechoy] = true;
      |                       ^
mecho.cpp:103:29: warning: 'home_y' may be used uninitialized in this function [-Wmaybe-uninitialized]
  103 |    int nx = home_x + dx[i], ny = home_y + dy[i];
      |                             ^~
mecho.cpp:103:8: warning: 'home_x' may be used uninitialized in this function [-Wmaybe-uninitialized]
  103 |    int nx = home_x + dx[i], ny = home_y + dy[i];
      |        ^~
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 442 ms 6652 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 32 ms 1680 KB Output is correct
34 Correct 31 ms 1732 KB Output is correct
35 Correct 61 ms 1624 KB Output is correct
36 Correct 44 ms 2004 KB Output is correct
37 Correct 40 ms 1924 KB Output is correct
38 Correct 81 ms 1880 KB Output is correct
39 Correct 60 ms 2848 KB Output is correct
40 Correct 52 ms 2420 KB Output is correct
41 Correct 107 ms 2392 KB Output is correct
42 Correct 68 ms 3052 KB Output is correct
43 Correct 69 ms 3040 KB Output is correct
44 Correct 144 ms 3156 KB Output is correct
45 Correct 92 ms 3524 KB Output is correct
46 Correct 77 ms 3512 KB Output is correct
47 Correct 160 ms 3504 KB Output is correct
48 Correct 101 ms 4040 KB Output is correct
49 Correct 114 ms 4052 KB Output is correct
50 Correct 188 ms 3928 KB Output is correct
51 Correct 122 ms 4600 KB Output is correct
52 Correct 120 ms 4880 KB Output is correct
53 Correct 247 ms 4584 KB Output is correct
54 Correct 175 ms 5196 KB Output is correct
55 Correct 134 ms 5200 KB Output is correct
56 Correct 280 ms 4956 KB Output is correct
57 Correct 188 ms 5860 KB Output is correct
58 Correct 157 ms 6004 KB Output is correct
59 Correct 332 ms 5836 KB Output is correct
60 Correct 193 ms 6536 KB Output is correct
61 Correct 184 ms 6500 KB Output is correct
62 Correct 364 ms 6488 KB Output is correct
63 Correct 447 ms 6524 KB Output is correct
64 Correct 520 ms 6520 KB Output is correct
65 Correct 478 ms 6524 KB Output is correct
66 Correct 499 ms 6532 KB Output is correct
67 Correct 427 ms 6528 KB Output is correct
68 Correct 411 ms 6572 KB Output is correct
69 Correct 434 ms 6492 KB Output is correct
70 Correct 380 ms 6568 KB Output is correct
71 Correct 407 ms 6556 KB Output is correct
72 Correct 390 ms 6488 KB Output is correct
73 Correct 378 ms 6744 KB Output is correct
74 Correct 405 ms 6728 KB Output is correct
75 Correct 452 ms 7016 KB Output is correct
76 Correct 399 ms 6840 KB Output is correct
77 Correct 420 ms 6816 KB Output is correct
78 Correct 416 ms 7000 KB Output is correct
79 Correct 383 ms 6788 KB Output is correct
80 Correct 403 ms 6784 KB Output is correct
81 Correct 409 ms 6748 KB Output is correct
82 Correct 383 ms 6748 KB Output is correct
83 Correct 404 ms 6748 KB Output is correct
84 Correct 433 ms 6740 KB Output is correct
85 Correct 433 ms 6748 KB Output is correct
86 Correct 419 ms 6996 KB Output is correct
87 Correct 437 ms 6752 KB Output is correct
88 Correct 434 ms 6740 KB Output is correct
89 Correct 439 ms 6688 KB Output is correct
90 Correct 448 ms 6688 KB Output is correct
91 Correct 460 ms 6688 KB Output is correct
92 Correct 482 ms 6688 KB Output is correct