mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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186 lines
17 KiB
JSON
186 lines
17 KiB
JSON
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"questionId": "2332",
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"title": "Count Lattice Points Inside a Circle",
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"content": "<p>Given a 2D integer array <code>circles</code> where <code>circles[i] = [x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub>]</code> represents the center <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and radius <code>r<sub>i</sub></code> of the <code>i<sup>th</sup></code> circle drawn on a grid, return <em>the <strong>number of lattice points</strong> </em><em>that are present inside <strong>at least one</strong> circle</em>.</p>\n\n<p><strong>Note:</strong></p>\n\n<ul>\n\t<li>A <strong>lattice point</strong> is a point with integer coordinates.</li>\n\t<li>Points that lie <strong>on the circumference of a circle</strong> are also considered to be inside it.</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/02/exa-11.png\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> circles = [[2,2,1]]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong>\nThe figure above shows the given circle.\nThe lattice points present inside the circle are (1, 2), (2, 1), (2, 2), (2, 3), and (3, 2) and are shown in green.\nOther points such as (1, 1) and (1, 3), which are shown in red, are not considered inside the circle.\nHence, the number of lattice points present inside at least one circle is 5.</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/02/exa-22.png\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> circles = [[2,2,2],[3,4,1]]\n<strong>Output:</strong> 16\n<strong>Explanation:</strong>\nThe figure above shows the given circles.\nThere are exactly 16 lattice points which are present inside at least one circle. \nSome of them are (0, 2), (2, 0), (2, 4), (3, 2), and (4, 4).\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= circles.length <= 200</code></li>\n\t<li><code>circles[i].length == 3</code></li>\n\t<li><code>1 <= x<sub>i</sub>, y<sub>i</sub> <= 100</code></li>\n\t<li><code>1 <= r<sub>i</sub> <= min(x<sub>i</sub>, y<sub>i</sub>)</code></li>\n</ul>\n",
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"code": "-spec count_lattice_points(Circles :: [[integer()]]) -> integer().\ncount_lattice_points(Circles) ->\n .",
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"For each circle, how can you check whether or not a lattice point lies inside it?",
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"Since you need to reduce the search space, consider the minimum and maximum possible values of the coordinates of a lattice point contained in any circle."
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