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- Time Complexity: O(r * c) where r is the number of rows and c is the number of columns in the grid. This is because each cell is processed a constant number of times.
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- Space Complexity: O(r * c) for the visited set and the queue, as we might need to store all the cells in the worst case.
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Further Notes:
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- Approach:
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- The algorithm uses Depth-First Search (DFS) to identify the first island.
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- Breadth-First Search (BFS) is then used to find the shortest bridge to another island by traversing water cells.
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- The BFS ensures that the shortest path is found due to its level-wise exploration.
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- Reasoning:
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- Starting with DFS helps in identifying all connected cells of the first island.
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- BFS is optimal for finding the shortest path in an unweighted grid, which is why it is used after identifying the first island.
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