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42 lines
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42 lines
2.0 KiB
HTML
<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>
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<p><strong>Note:</strong></p>
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<ul>
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<li>A <strong>lattice point</strong> is a point with integer coordinates.</li>
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<li>Points that lie <strong>on the circumference of a circle</strong> are also considered to be inside it.</li>
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</ul>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2022/03/02/exa-11.png" style="width: 300px; height: 300px;" />
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<pre>
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<strong>Input:</strong> circles = [[2,2,1]]
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<strong>Output:</strong> 5
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<strong>Explanation:</strong>
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The figure above shows the given circle.
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The lattice points present inside the circle are (1, 2), (2, 1), (2, 2), (2, 3), and (3, 2) and are shown in green.
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Other points such as (1, 1) and (1, 3), which are shown in red, are not considered inside the circle.
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Hence, the number of lattice points present inside at least one circle is 5.</pre>
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<p><strong>Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2022/03/02/exa-22.png" style="width: 300px; height: 300px;" />
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<pre>
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<strong>Input:</strong> circles = [[2,2,2],[3,4,1]]
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<strong>Output:</strong> 16
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<strong>Explanation:</strong>
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The figure above shows the given circles.
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There are exactly 16 lattice points which are present inside at least one circle.
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Some of them are (0, 2), (2, 0), (2, 4), (3, 2), and (4, 4).
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= circles.length <= 200</code></li>
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<li><code>circles[i].length == 3</code></li>
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<li><code>1 <= x<sub>i</sub>, y<sub>i</sub> <= 100</code></li>
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<li><code>1 <= r<sub>i</sub> <= min(x<sub>i</sub>, y<sub>i</sub>)</code></li>
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</ul>
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