#### Approach #1: Depth-First Search [Accepted]

Intuition

We perform the algorithm explained in the problem description: paint the starting pixels, plus adjacent pixels of the same color, and so on.

Algorithm

Say color is the color of the starting pixel. Let's floodfill the starting pixel: we change the color of that pixel to the new color, then check the 4 neighboring pixels to make sure they are valid pixels of the same color, and of the valid ones, we floodfill those, and so on.

We can use a function dfs to perform a floodfill on a target pixel.

Complexity Analysis

• Time Complexity: , where is the number of pixels in the image. We might process every pixel.

• Space Complexity: , the size of the implicit call stack when calling dfs.

Analysis written by: @awice.