{ "data": { "question": { "questionId": "864", "questionFrontendId": "835", "boundTopicId": null, "title": "Image Overlap", "titleSlug": "image-overlap", "content": "

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.

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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.

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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.

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Return the largest possible overlap.

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Example 1:

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\nInput: img1 = [[1,1,0],[0,1,0],[0,1,0]], img2 = [[0,0,0],[0,1,1],[0,0,1]]\nOutput: 3\nExplanation: We translate img1 to right by 1 unit and down by 1 unit.\n\"\"\nThe number of positions that have a 1 in both images is 3 (shown in red).\n\"\"\n
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Example 2:

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\nInput: img1 = [[1]], img2 = [[1]]\nOutput: 1\n
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Example 3:

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\nInput: img1 = [[0]], img2 = [[0]]\nOutput: 0\n
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Constraints:

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Compiled with clang 11 using the latest C++ 20 standard.

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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

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Most standard library headers are already included automatically for your convenience.

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Python 2.7.12.

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Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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Most standard library headers are already included automatically for your convenience.

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3. Deleting an item in a hash:\\r\\n

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C# 10 with .NET 6 runtime

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Node.js 16.13.2.

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Ruby 3.1

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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

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Swift 5.5.2.

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Go 1.21

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Python 3.10.

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Scala 2.13.7.

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Kotlin 1.9.0.

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Rust 1.58.1

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PHP 8.1.

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With bcmath module

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TypeScript 5.1.6, Node.js 16.13.2.

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Run with Racket 8.3.

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Dart 2.17.3

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