{ "data": { "question": { "questionId": "1990", "questionFrontendId": "1878", "boundTopicId": null, "title": "Get Biggest Three Rhombus Sums in a Grid", "titleSlug": "get-biggest-three-rhombus-sums-in-a-grid", "content": "

You are given an m x n integer matrix grid​​​.

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A rhombus sum is the sum of the elements that form the border of a regular rhombus shape in grid​​​. The rhombus must have the shape of a square rotated 45 degrees with each of the corners centered in a grid cell. Below is an image of four valid rhombus shapes with the corresponding colored cells that should be included in each rhombus sum:

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Note that the rhombus can have an area of 0, which is depicted by the purple rhombus in the bottom right corner.

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Return the biggest three distinct rhombus sums in the grid in descending order. If there are less than three distinct values, return all of them.

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Example 1:

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\nInput: grid = [[3,4,5,1,3],[3,3,4,2,3],[20,30,200,40,10],[1,5,5,4,1],[4,3,2,2,5]]\nOutput: [228,216,211]\nExplanation: The rhombus shapes for the three biggest distinct rhombus sums are depicted above.\n- Blue: 20 + 3 + 200 + 5 = 228\n- Red: 200 + 2 + 10 + 4 = 216\n- Green: 5 + 200 + 4 + 2 = 211\n
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Example 2:

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\nInput: grid = [[1,2,3],[4,5,6],[7,8,9]]\nOutput: [20,9,8]\nExplanation: The rhombus shapes for the three biggest distinct rhombus sums are depicted above.\n- Blue: 4 + 2 + 6 + 8 = 20\n- Red: 9 (area 0 rhombus in the bottom right corner)\n- Green: 8 (area 0 rhombus in the bottom middle)\n
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Example 3:

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\nInput: grid = [[7,7,7]]\nOutput: [7]\nExplanation: All three possible rhombus sums are the same, so return [7].\n
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Constraints:

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