Considering the finished flood fill code, what is the base case for the recursion?

Question

BlackTom AI · Accepted Answer

When analyzing the base case for a recursive flood fill implementation, we need to identify the condition that stops the recursion from continuing to neighboring pixels.
Option 1: 'When the recursion depth exceeds Python's limits.' While this would cause a runtime error if hit, it is not the intended logical base case of the flood fill algorithm. The recursion is meant to model the region of connected pixels, not to count frames of depth; exceeding a language limit is an environment constraint, not a termination condition of the algorithm's region-traversal logic.
Option 2: 'When the flood fill advances in all four directions (up, right, down, left).' Advancing in four directions describes the expansion step, not a stopping criterion. The algorithm continues to propagate to neighbors until a stopping condition is encountered, not upon a predefined directional move.
Option 3: 'When the color of the current pixel is not the same as the initial pixel picked.' This matches the classic base case: the recursion should stop when you encounter a pixel that either is out of the target color or is out of bounds, since continuing would change pixels outside the desired region. If the current pixel's color differs from the original color selected for filling, that pixel should not be recolored, and recursion should halt along that path.
Additional note: In many flood fill implementations, there is also a boundary check for out-of-bounds indices as part of the base-case logic. That check is not listed as an option, but it plays a similar role in preventing index errors and limiting recursion to the valid image region.

Considering the finished flood fill code, what is the base case for the recursion?单项选择题

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