Submission #491398

# Submission time Handle Problem Language Result Execution time Memory
491398 2021-12-01T23:57:47 Z nehasane Mecho (IOI09_mecho) C++14
50 / 100
452 ms 8292 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 = 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 3 ms 6476 KB Output is correct
4 Correct 4 ms 6496 KB Output is correct
5 Correct 4 ms 6476 KB Output is correct
6 Correct 4 ms 6476 KB Output is correct
7 Correct 320 ms 8076 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 6476 KB Output is correct
11 Correct 4 ms 6476 KB Output is correct
12 Incorrect 5 ms 6476 KB Output isn't correct
13 Correct 6 ms 6476 KB Output is correct
14 Correct 5 ms 6604 KB Output is correct
15 Incorrect 4 ms 6476 KB Output isn't correct
16 Incorrect 4 ms 6476 KB Output isn't correct
17 Incorrect 5 ms 6476 KB Output isn't correct
18 Incorrect 5 ms 6476 KB Output isn't correct
19 Incorrect 5 ms 6476 KB Output isn't correct
20 Incorrect 4 ms 6468 KB Output isn't correct
21 Incorrect 7 ms 6476 KB Output isn't correct
22 Incorrect 6 ms 6592 KB Output isn't correct
23 Incorrect 6 ms 6476 KB Output isn't correct
24 Incorrect 6 ms 6532 KB Output isn't correct
25 Incorrect 5 ms 6476 KB Output isn't correct
26 Incorrect 6 ms 6476 KB Output isn't correct
27 Incorrect 6 ms 6604 KB Output isn't correct
28 Incorrect 7 ms 6596 KB Output isn't correct
29 Incorrect 5 ms 6604 KB Output isn't correct
30 Incorrect 6 ms 6604 KB Output isn't correct
31 Incorrect 8 ms 6476 KB Output isn't correct
32 Incorrect 6 ms 6476 KB Output isn't correct
33 Incorrect 32 ms 6860 KB Output isn't correct
34 Incorrect 39 ms 6860 KB Output isn't correct
35 Correct 48 ms 6860 KB Output is correct
36 Incorrect 39 ms 6916 KB Output isn't correct
37 Incorrect 48 ms 6860 KB Output isn't correct
38 Correct 75 ms 6860 KB Output is correct
39 Incorrect 51 ms 6988 KB Output isn't correct
40 Incorrect 61 ms 6876 KB Output isn't correct
41 Correct 94 ms 6980 KB Output is correct
42 Incorrect 61 ms 7284 KB Output isn't correct
43 Incorrect 75 ms 7276 KB Output isn't correct
44 Correct 105 ms 7288 KB Output is correct
45 Incorrect 91 ms 7352 KB Output isn't correct
46 Incorrect 101 ms 7380 KB Output isn't correct
47 Correct 150 ms 7372 KB Output is correct
48 Incorrect 98 ms 7404 KB Output isn't correct
49 Incorrect 114 ms 7500 KB Output isn't correct
50 Correct 151 ms 7500 KB Output is correct
51 Incorrect 110 ms 7600 KB Output isn't correct
52 Incorrect 127 ms 7604 KB Output isn't correct
53 Correct 191 ms 7608 KB Output is correct
54 Incorrect 149 ms 7712 KB Output isn't correct
55 Incorrect 143 ms 7628 KB Output isn't correct
56 Correct 211 ms 7720 KB Output is correct
57 Incorrect 156 ms 7828 KB Output isn't correct
58 Incorrect 172 ms 7832 KB Output isn't correct
59 Correct 265 ms 7840 KB Output is correct
60 Incorrect 173 ms 7956 KB Output isn't correct
61 Incorrect 202 ms 7948 KB Output isn't correct
62 Correct 317 ms 7968 KB Output is correct
63 Correct 357 ms 7960 KB Output is correct
64 Incorrect 452 ms 8068 KB Output isn't correct
65 Correct 416 ms 8020 KB Output is correct
66 Correct 352 ms 7964 KB Output is correct
67 Correct 322 ms 7964 KB Output is correct
68 Correct 295 ms 7988 KB Output is correct
69 Correct 272 ms 7992 KB Output is correct
70 Correct 312 ms 8012 KB Output is correct
71 Correct 288 ms 7884 KB Output is correct
72 Correct 299 ms 7992 KB Output is correct
73 Correct 284 ms 8264 KB Output is correct
74 Correct 313 ms 8260 KB Output is correct
75 Correct 276 ms 8256 KB Output is correct
76 Correct 292 ms 8292 KB Output is correct
77 Correct 312 ms 8268 KB Output is correct
78 Correct 296 ms 8228 KB Output is correct
79 Correct 325 ms 8224 KB Output is correct
80 Correct 270 ms 8124 KB Output is correct
81 Correct 311 ms 8224 KB Output is correct
82 Correct 303 ms 8228 KB Output is correct
83 Correct 331 ms 8204 KB Output is correct
84 Correct 308 ms 8188 KB Output is correct
85 Correct 344 ms 8236 KB Output is correct
86 Correct 328 ms 8184 KB Output is correct
87 Correct 339 ms 8176 KB Output is correct
88 Correct 349 ms 8132 KB Output is correct
89 Correct 324 ms 8132 KB Output is correct
90 Correct 353 ms 8140 KB Output is correct
91 Correct 320 ms 8192 KB Output is correct
92 Correct 303 ms 8140 KB Output is correct