How many times should we apply the filter for the color of, Computer Engineering

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How many times should we apply the filter for the color of

Question :

Suppose we iterate the application of a blurring filter with kernel size 5 on an image of 800 times 600 pixels.

How many times should we apply the filter for the color of the pixel at position (20, 20) to be influenced by the color at pixel (100, 100)?

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