Amazon Online Assessment (OA) - Treasure Island II

You have a map that marks the location of a treasure island. Some of the map areas have jagged rocks and dangerous reefs. Other areas are safe to sail in.

There are other explorers trying to find the treasure. So you must figure out the shortest route to the treasure island.

Assume the map area is a two-dimensional grid, represented by a matrix of characters.

You must start from one of the starting points (marked as 'S') of the map and can move one block up, down, left, or right at a time.

The treasure island is marked as 'X' in a block of the matrix.

Any block with dangerous rocks or reefs will be marked as 'D'. You must not enter dangerous blocks. You cannot leave the map area.

Other areas 'O' are safe to sail in.

Output the minimum number of steps to get to the treasure.

Input

The input consists of an argument:

matrix: a 2D string array where X represents the treasure island, D represents dangerous rocks or reefs, O represents safe to sail in areas, and 'S' represents the starting point

Output

Return a minimum number of steps for the route

Examples

Example 1:

Input:

1matrix = [
2  [‘S’, ‘O’, ‘O’, 'S', ‘S’],
3  [‘D’, ‘O’, ‘D’, ‘O’, ‘D’],
4  [‘O’, ‘O’, ‘O’, ‘O’, ‘X’],
5  [‘X’, ‘D’, ‘D’, ‘O’, ‘O’],
6  [‘X', ‘D’, ‘D’, ‘D’, ‘O’],
7]

Output: 3

Explanation:

You can start from (0,0), (0, 3), or (0, 4). The treasure locations are (2, 4), (3, 0), and (4, 0). Here, the shortest route is (0, 3), (1, 3), (2, 3), (2, 4).

Try it yourself

Solution

Prereq: Number of Islands

1from typing import List
2
3def routeStep(matrix: List[List[str]]) -> int:
4    from collections import deque
5    num_rows = len(matrix)
6    num_cols = len(matrix[0])
7
8    def get_neighbors(coord):
9        row, col = coord
10        for dx, dy in [(-1, 0), (0, -1), (1, 0), (0, 1)]:
11            r = row + dx
12            c = col + dy
13            if 0 <= r < num_rows and 0 <= c < num_cols and matrix[r][c] != 'D':
14                yield (r, c)
15
16    def bfs(starts):
17        queue = deque(starts)
18        for r, c in starts:
19            matrix[r][c] = ' '
20        dist = 0
21        while len(queue) > 0:
22            dist += 1
23            n = len(queue)
24            for _ in range(n):
25                node = queue.popleft()
26                for r, c in get_neighbors(node):
27                    if matrix[r][c] == 'X':
28                        return dist
29                    if matrix[r][c] == ' ':
30                        continue
31                    queue.append((r, c))
32                    matrix[r][c] = ' '
33
34    return bfs([
35        (r, c)
36        for r, row in enumerate(matrix)
37        for c, v in enumerate(row)
38        if v == 'S'
39    ])
40
41if __name__ == "__main__":
42    rows = int(input())
43    matrix = [[x for x in input().split()] for _ in range(rows)]
44    result = routeStep(matrix)
45    print(result)
46
47