#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:136:23: warning: 'mechox' may be used uninitialized in this function [-Wmaybe-uninitialized]
136 | mecho_visited[mechox][mechoy] = true;
| ^
mecho.cpp:192:29: warning: 'home_y' may be used uninitialized in this function [-Wmaybe-uninitialized]
192 | int nx = home_x + dx[i], ny = home_y + dy[i];
| ^~
mecho.cpp:192:8: warning: 'home_x' may be used uninitialized in this function [-Wmaybe-uninitialized]
192 | int nx = home_x + dx[i], ny = home_y + dy[i];
| ^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 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 |
432 ms |
6652 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
600 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
348 KB |
Output is correct |
14 |
Correct |
2 ms |
508 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 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 |
2 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
2 ms |
344 KB |
Output is correct |
32 |
Correct |
2 ms |
348 KB |
Output is correct |
33 |
Correct |
32 ms |
1732 KB |
Output is correct |
34 |
Correct |
33 ms |
1724 KB |
Output is correct |
35 |
Correct |
62 ms |
1660 KB |
Output is correct |
36 |
Correct |
45 ms |
2004 KB |
Output is correct |
37 |
Correct |
41 ms |
2008 KB |
Output is correct |
38 |
Correct |
78 ms |
2020 KB |
Output is correct |
39 |
Correct |
52 ms |
2400 KB |
Output is correct |
40 |
Correct |
56 ms |
2404 KB |
Output is correct |
41 |
Correct |
108 ms |
2392 KB |
Output is correct |
42 |
Correct |
68 ms |
3060 KB |
Output is correct |
43 |
Correct |
66 ms |
3056 KB |
Output is correct |
44 |
Correct |
131 ms |
2908 KB |
Output is correct |
45 |
Correct |
100 ms |
3676 KB |
Output is correct |
46 |
Correct |
77 ms |
3528 KB |
Output is correct |
47 |
Correct |
158 ms |
3500 KB |
Output is correct |
48 |
Correct |
97 ms |
4052 KB |
Output is correct |
49 |
Correct |
100 ms |
4436 KB |
Output is correct |
50 |
Correct |
186 ms |
3932 KB |
Output is correct |
51 |
Correct |
122 ms |
4588 KB |
Output is correct |
52 |
Correct |
114 ms |
4584 KB |
Output is correct |
53 |
Correct |
243 ms |
4588 KB |
Output is correct |
54 |
Correct |
140 ms |
5204 KB |
Output is correct |
55 |
Correct |
164 ms |
5204 KB |
Output is correct |
56 |
Correct |
309 ms |
5188 KB |
Output is correct |
57 |
Correct |
162 ms |
5860 KB |
Output is correct |
58 |
Correct |
165 ms |
5876 KB |
Output is correct |
59 |
Correct |
341 ms |
5836 KB |
Output is correct |
60 |
Correct |
213 ms |
6540 KB |
Output is correct |
61 |
Correct |
171 ms |
6532 KB |
Output is correct |
62 |
Correct |
426 ms |
6492 KB |
Output is correct |
63 |
Correct |
422 ms |
6744 KB |
Output is correct |
64 |
Correct |
538 ms |
6524 KB |
Output is correct |
65 |
Correct |
483 ms |
7212 KB |
Output is correct |
66 |
Correct |
475 ms |
6828 KB |
Output is correct |
67 |
Correct |
434 ms |
6488 KB |
Output is correct |
68 |
Correct |
397 ms |
6548 KB |
Output is correct |
69 |
Correct |
407 ms |
6492 KB |
Output is correct |
70 |
Correct |
416 ms |
6800 KB |
Output is correct |
71 |
Correct |
398 ms |
6492 KB |
Output is correct |
72 |
Correct |
378 ms |
6564 KB |
Output is correct |
73 |
Correct |
376 ms |
6616 KB |
Output is correct |
74 |
Correct |
401 ms |
6744 KB |
Output is correct |
75 |
Correct |
428 ms |
6816 KB |
Output is correct |
76 |
Correct |
402 ms |
6744 KB |
Output is correct |
77 |
Correct |
432 ms |
6816 KB |
Output is correct |
78 |
Correct |
404 ms |
6780 KB |
Output is correct |
79 |
Correct |
377 ms |
6748 KB |
Output is correct |
80 |
Correct |
379 ms |
6784 KB |
Output is correct |
81 |
Correct |
419 ms |
6872 KB |
Output is correct |
82 |
Correct |
398 ms |
6996 KB |
Output is correct |
83 |
Correct |
425 ms |
6836 KB |
Output is correct |
84 |
Correct |
418 ms |
6748 KB |
Output is correct |
85 |
Correct |
451 ms |
6768 KB |
Output is correct |
86 |
Correct |
419 ms |
6744 KB |
Output is correct |
87 |
Correct |
420 ms |
6748 KB |
Output is correct |
88 |
Correct |
468 ms |
6692 KB |
Output is correct |
89 |
Correct |
410 ms |
6688 KB |
Output is correct |
90 |
Correct |
413 ms |
6492 KB |
Output is correct |
91 |
Correct |
477 ms |
6688 KB |
Output is correct |
92 |
Correct |
447 ms |
6692 KB |
Output is correct |