Submission #491400

# Submission time Handle Problem Language Result Execution time Memory
491400 2021-12-02T00:00:01 Z nehasane Mecho (IOI09_mecho) C++14
53 / 100
513 ms 7748 KB
//for an editorial and code in C++, visit my blog - https://nehasane.blogspot.com/2021/11/ioi-2009-mecho.html
#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 800;
vector <string> field(MAX_N);
bool bees_visited[MAX_N][MAX_N], mecho_visited[MAX_N][MAX_N];
//mecho_time records the time taken for mecho to reach node[x][y].
//bees_time does the same for the bees
int mecho_time[MAX_N][MAX_N], bees_time[MAX_N][MAX_N];
queue <pair <int, int>> q;
int dx[] = {-1, 1, 0, 0};
int dy[] = {0, 0, -1, 1};
int n, s;
bool valid_sq(int x, int y){
    if (x >= 0 && x < n && y >= 0 && y < n && (field[x][y] == 'G' || field[x][y] == 'M'))
        return true;
    return false;
}
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;
            }
        }
    }
    //binary search on waiting time
    int l = 0, r = 3*n;
    while (l <= r){
        int eating_time = (l + r) / 2;
        memset(bees_visited, false, sizeof(bees_visited));
        memset(mecho_visited, false, sizeof(mecho_visited));
        memset(bees_time, 0, sizeof(bees_time));
        memset(mecho_time, 0, sizeof(mecho_time));
        //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_time[x][y] + 1) / s < 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 mecho_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_time[nx][ny] / s) < bees_time[nx][ny] - eating_time
                && mecho_visited[nx][ny])
                mecho_reached = true;
        }
        if (mecho_reached)
            l = eating_time + 1;
        else
            r = eating_time - 1;
        }
    cout << l - 1 << '\n';
}

Compilation message

mecho.cpp: In function 'int main()':
mecho.cpp:68:37: warning: 'mechoy' may be used uninitialized in this function [-Wmaybe-uninitialized]
   68 |         if (bees_time[mechox][mechoy] <= eating_time)
      |             ~~~~~~~~~~~~~~~~~~~~~~~~^
mecho.cpp:68:37: warning: 'mechox' may be used uninitialized in this function [-Wmaybe-uninitialized]
mecho.cpp:92:37: warning: 'home_y' may be used uninitialized in this function [-Wmaybe-uninitialized]
   92 |             int nx = home_x+ dx[i], ny = home_y + dy[i];
      |                                     ^~
mecho.cpp:92:17: warning: 'home_x' may be used uninitialized in this function [-Wmaybe-uninitialized]
   92 |             int nx = home_x+ dx[i], ny = home_y + dy[i];
      |                 ^~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 6476 KB Output is correct
2 Correct 4 ms 6476 KB Output is correct
3 Correct 4 ms 6476 KB Output is correct
4 Correct 5 ms 6476 KB Output is correct
5 Correct 5 ms 6584 KB Output is correct
6 Correct 5 ms 6476 KB Output is correct
7 Correct 376 ms 7508 KB Output is correct
8 Correct 4 ms 6476 KB Output is correct
9 Correct 4 ms 6476 KB Output is correct
10 Correct 4 ms 6504 KB Output is correct
11 Correct 5 ms 6476 KB Output is correct
12 Incorrect 7 ms 6572 KB Output isn't correct
13 Correct 9 ms 6476 KB Output is correct
14 Correct 8 ms 6476 KB Output is correct
15 Incorrect 5 ms 6524 KB Output isn't correct
16 Incorrect 5 ms 6476 KB Output isn't correct
17 Incorrect 8 ms 6476 KB Output isn't correct
18 Incorrect 4 ms 6476 KB Output isn't correct
19 Incorrect 4 ms 6476 KB Output isn't correct
20 Incorrect 5 ms 6584 KB Output isn't correct
21 Incorrect 5 ms 6476 KB Output isn't correct
22 Incorrect 7 ms 6476 KB Output isn't correct
23 Incorrect 5 ms 6476 KB Output isn't correct
24 Incorrect 6 ms 6476 KB Output isn't correct
25 Incorrect 6 ms 6476 KB Output isn't correct
26 Incorrect 6 ms 6500 KB Output isn't correct
27 Incorrect 7 ms 6588 KB Output isn't correct
28 Incorrect 7 ms 6588 KB Output isn't correct
29 Incorrect 7 ms 6476 KB Output isn't correct
30 Incorrect 7 ms 6476 KB Output isn't correct
31 Incorrect 7 ms 6476 KB Output isn't correct
32 Incorrect 8 ms 6588 KB Output isn't correct
33 Incorrect 38 ms 6732 KB Output isn't correct
34 Incorrect 45 ms 6732 KB Output isn't correct
35 Correct 55 ms 6752 KB Output is correct
36 Incorrect 48 ms 6768 KB Output isn't correct
37 Incorrect 58 ms 6756 KB Output isn't correct
38 Correct 86 ms 6756 KB Output is correct
39 Incorrect 61 ms 6784 KB Output isn't correct
40 Incorrect 70 ms 6732 KB Output isn't correct
41 Correct 90 ms 6796 KB Output is correct
42 Incorrect 73 ms 7040 KB Output isn't correct
43 Incorrect 113 ms 6988 KB Output isn't correct
44 Correct 123 ms 7048 KB Output is correct
45 Incorrect 89 ms 7096 KB Output isn't correct
46 Incorrect 106 ms 6988 KB Output isn't correct
47 Correct 170 ms 7104 KB Output is correct
48 Incorrect 107 ms 7236 KB Output isn't correct
49 Incorrect 125 ms 7136 KB Output isn't correct
50 Correct 192 ms 7140 KB Output is correct
51 Incorrect 133 ms 7184 KB Output isn't correct
52 Incorrect 149 ms 7188 KB Output isn't correct
53 Correct 206 ms 7192 KB Output is correct
54 Incorrect 158 ms 7248 KB Output isn't correct
55 Incorrect 190 ms 7244 KB Output isn't correct
56 Correct 267 ms 7244 KB Output is correct
57 Incorrect 172 ms 7244 KB Output isn't correct
58 Incorrect 211 ms 7272 KB Output isn't correct
59 Correct 290 ms 7280 KB Output is correct
60 Incorrect 181 ms 7364 KB Output isn't correct
61 Incorrect 245 ms 7332 KB Output isn't correct
62 Correct 311 ms 7336 KB Output is correct
63 Correct 418 ms 7328 KB Output is correct
64 Correct 450 ms 7332 KB Output is correct
65 Correct 513 ms 7332 KB Output is correct
66 Correct 423 ms 7244 KB Output is correct
67 Correct 383 ms 7332 KB Output is correct
68 Correct 340 ms 7492 KB Output is correct
69 Correct 340 ms 7364 KB Output is correct
70 Correct 334 ms 7368 KB Output is correct
71 Correct 358 ms 7380 KB Output is correct
72 Correct 341 ms 7372 KB Output is correct
73 Correct 319 ms 7636 KB Output is correct
74 Correct 319 ms 7632 KB Output is correct
75 Correct 370 ms 7748 KB Output is correct
76 Correct 348 ms 7628 KB Output is correct
77 Correct 338 ms 7684 KB Output is correct
78 Correct 365 ms 7592 KB Output is correct
79 Correct 361 ms 7508 KB Output is correct
80 Correct 333 ms 7620 KB Output is correct
81 Correct 411 ms 7596 KB Output is correct
82 Correct 347 ms 7600 KB Output is correct
83 Correct 361 ms 7556 KB Output is correct
84 Correct 421 ms 7552 KB Output is correct
85 Correct 335 ms 7620 KB Output is correct
86 Correct 386 ms 7556 KB Output is correct
87 Correct 415 ms 7452 KB Output is correct
88 Correct 377 ms 7504 KB Output is correct
89 Correct 352 ms 7588 KB Output is correct
90 Correct 354 ms 7504 KB Output is correct
91 Correct 397 ms 7504 KB Output is correct
92 Correct 369 ms 7500 KB Output is correct