mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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192 lines
18 KiB
JSON
192 lines
18 KiB
JSON
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"title": "Get Biggest Three Rhombus Sums in a Grid",
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"content": "<p>You are given an <code>m x n</code> integer matrix <code>grid</code>.</p>\n\n<p>A <strong>rhombus sum</strong> is the sum of the elements that form <strong>the</strong> <strong>border</strong> of a regular rhombus shape in <code>grid</code>. 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 <strong>rhombus sum</strong>:</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/23/pc73-q4-desc-2.png\" style=\"width: 385px; height: 385px;\" />\n<p>Note that the rhombus can have an area of 0, which is depicted by the purple rhombus in the bottom right corner.</p>\n\n<p>Return <em>the biggest three <strong>distinct rhombus sums</strong> in the </em><code>grid</code><em> in <strong>descending order</strong></em><em>. If there are less than three distinct values, return all of them</em>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/23/pc73-q4-ex1.png\" style=\"width: 360px; height: 361px;\" />\n<pre>\n<strong>Input:</strong> 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]]\n<strong>Output:</strong> [228,216,211]\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/04/23/pc73-q4-ex2.png\" style=\"width: 217px; height: 217px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,2,3],[4,5,6],[7,8,9]]\n<strong>Output:</strong> [20,9,8]\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[7,7,7]]\n<strong>Output:</strong> [7]\n<strong>Explanation:</strong> All three possible rhombus sums are the same, so return [7].\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 <= m, n <= 50</code></li>\n\t<li><code>1 <= grid[i][j] <= 10<sup>5</sup></code></li>\n</ul>\n",
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"You need to maintain only the biggest 3 distinct sums",
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"The limits are small enough for you to iterate over all rhombus sizes then iterate over all possible borders to get the sums"
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