답안 #492249

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
492249 2021-12-06T08:01:15 Z nehasane Mecho (IOI09_mecho) C++14
100 / 100
646 ms 6804 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:77:31: warning: 'mechoy' may be used uninitialized in this function [-Wmaybe-uninitialized]
   77 |   mecho_visited[mechox][mechoy] = true;
      |                               ^
mecho.cpp:77:23: warning: 'mechox' may be used uninitialized in this function [-Wmaybe-uninitialized]
   77 |   mecho_visited[mechox][mechoy] = true;
      |                       ^
mecho.cpp:109:29: warning: 'home_y' may be used uninitialized in this function [-Wmaybe-uninitialized]
  109 |    int nx = home_x + dx[i], ny = home_y + dy[i];
      |                             ^~
mecho.cpp:109:8: warning: 'home_x' may be used uninitialized in this function [-Wmaybe-uninitialized]
  109 |    int nx = home_x + dx[i], ny = home_y + dy[i];
      |        ^~
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 523 ms 6476 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 3 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 0 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 2 ms 332 KB Output is correct
33 Correct 41 ms 1540 KB Output is correct
34 Correct 40 ms 1548 KB Output is correct
35 Correct 74 ms 1524 KB Output is correct
36 Correct 50 ms 1888 KB Output is correct
37 Correct 53 ms 1864 KB Output is correct
38 Correct 94 ms 1868 KB Output is correct
39 Correct 74 ms 2268 KB Output is correct
40 Correct 65 ms 2248 KB Output is correct
41 Correct 127 ms 2124 KB Output is correct
42 Correct 84 ms 2908 KB Output is correct
43 Correct 84 ms 2900 KB Output is correct
44 Correct 160 ms 2896 KB Output is correct
45 Correct 106 ms 3376 KB Output is correct
46 Correct 102 ms 3364 KB Output is correct
47 Correct 189 ms 3364 KB Output is correct
48 Correct 118 ms 3904 KB Output is correct
49 Correct 129 ms 3916 KB Output is correct
50 Correct 225 ms 3788 KB Output is correct
51 Correct 146 ms 4460 KB Output is correct
52 Correct 146 ms 4460 KB Output is correct
53 Correct 282 ms 4440 KB Output is correct
54 Correct 177 ms 5056 KB Output is correct
55 Correct 169 ms 5060 KB Output is correct
56 Correct 345 ms 5048 KB Output is correct
57 Correct 195 ms 5704 KB Output is correct
58 Correct 197 ms 5704 KB Output is correct
59 Correct 407 ms 5780 KB Output is correct
60 Correct 253 ms 6384 KB Output is correct
61 Correct 235 ms 6580 KB Output is correct
62 Correct 436 ms 6380 KB Output is correct
63 Correct 509 ms 6376 KB Output is correct
64 Correct 646 ms 6380 KB Output is correct
65 Correct 574 ms 6384 KB Output is correct
66 Correct 553 ms 6440 KB Output is correct
67 Correct 525 ms 6508 KB Output is correct
68 Correct 463 ms 6408 KB Output is correct
69 Correct 496 ms 6536 KB Output is correct
70 Correct 461 ms 6412 KB Output is correct
71 Correct 486 ms 6468 KB Output is correct
72 Correct 441 ms 6348 KB Output is correct
73 Correct 464 ms 6700 KB Output is correct
74 Correct 504 ms 6684 KB Output is correct
75 Correct 540 ms 6704 KB Output is correct
76 Correct 501 ms 6724 KB Output is correct
77 Correct 508 ms 6804 KB Output is correct
78 Correct 492 ms 6640 KB Output is correct
79 Correct 490 ms 6676 KB Output is correct
80 Correct 475 ms 6640 KB Output is correct
81 Correct 497 ms 6648 KB Output is correct
82 Correct 475 ms 6724 KB Output is correct
83 Correct 521 ms 6600 KB Output is correct
84 Correct 516 ms 6652 KB Output is correct
85 Correct 534 ms 6604 KB Output is correct
86 Correct 520 ms 6608 KB Output is correct
87 Correct 528 ms 6736 KB Output is correct
88 Correct 512 ms 6548 KB Output is correct
89 Correct 511 ms 6596 KB Output is correct
90 Correct 516 ms 6548 KB Output is correct
91 Correct 533 ms 6548 KB Output is correct
92 Correct 547 ms 6600 KB Output is correct