How to Solve Image Smoother Problem
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Image Smoother
An image smoother is a filter of the size 3 x 3 that can be applied to each cell of an image by rounding down the average of the cell and the eight surrounding cells (i.e., the average of the nine cel...
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Understanding the Image Smoother Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
An image smoother is a filter of the size 3 x 3 that can be applied to each cell of an image by rounding down the average of the cell and the eight surrounding cells (i.e., the average of the nine cells in the blue smoother). If one or more of the surrounding cells of a cell is not present, we do not consider it in the average (i.e., the average of the four cells in the red smoother). Given an m x n integer matrix img representing the grayscale of an image, return the image after applying the smoother on each cell of it.
Image Smoother
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Examples
img = [[1,1,1],[1,0,1],[1,1,1]]
[[0,0,0],[0,0,0],[0,0,0]]
For the points (0,0), (0,2), (2,0), (2,2): floor(3/4) = floor(0.75) = 0 For the points (0,1), (1,0), (1,2), (2,1): floor(5/6) = floor(0.83333333) = 0 For the point (1,1): floor(8/9) = floor(0.88888889) = 0
img = [[100,200,100],[200,50,200],[100,200,100]]
[[137,141,137],[141,138,141],[137,141,137]]
For the points (0,0), (0,2), (2,0), (2,2): floor((100+200+200+50)/4) = floor(137.5) = 137 For the points (0,1), (1,0), (1,2), (2,1): floor((200+200+50+200+100+100)/6) = floor(141.666667) = 141 For the point (1,1): floor((50+200+200+200+200+100+100+100+100)/9) = floor(138.888889) = 138
Constraints
m == img.length
n == img[i].length
1 <= m, n <= 200
0 <= img[i][j] <= 255
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