How to Solve Image Overlap Problem
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Image Overlap
You are given two images, img1 and img2, represented as binary, square matrices of size n x n. A binary matrix has only 0s and 1s as values. We translate one image however we choose by sliding all the...
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Understanding the Image Overlap Problem
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Problem Statement
You are given two images, img1 and img2, represented as binary, square matrices of size n x n. A binary matrix has only 0s and 1s as values. We translate one image however we choose by sliding all the 1 bits left, right, up, and/or down any number of units. We then place it on top of the other image. We can then calculate the overlap by counting the number of positions that have a 1 in both images. Note also that a translation does not include any kind of rotation. Any 1 bits that are translated outside of the matrix borders are erased. Return the largest possible overlap.
Image Overlap
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Examples
img1 = [[1,1,0],[0,1,0],[0,1,0]], img2 = [[0,0,0],[0,1,1],[0,0,1]]
3
We translate img1 to right by 1 unit and down by 1 unit. The number of positions that have a 1 in both images is 3 (shown in red).
img1 = [[1]], img2 = [[1]]
1
img1 = [[0]], img2 = [[0]]
0
Constraints
n == img1.length == img1[i].length
n == img2.length == img2[i].length
1 <= n <= 30
img1[i][j] is either 0 or 1.
img2[i][j] is either 0 or 1.
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