{ "data": { "question": { "questionId": "2332", "questionFrontendId": "2249", "categoryTitle": "Algorithms", "boundTopicId": 1440429, "title": "Count Lattice Points Inside a Circle", "titleSlug": "count-lattice-points-inside-a-circle", "content": "
Given a 2D integer array circles
where circles[i] = [xi, yi, ri]
represents the center (xi, yi)
and radius ri
of the ith
circle drawn on a grid, return the number of lattice points that are present inside at least one circle.
Note:
\n\n\n
Example 1:
\n\nInput: circles = [[2,2,1]]\nOutput: 5\nExplanation:\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.\n\n
Example 2:
\n\nInput: circles = [[2,2,2],[3,4,1]]\nOutput: 16\nExplanation:\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\n\n
\n
Constraints:
\n\n1 <= circles.length <= 200
circles[i].length == 3
1 <= xi, yi <= 100
1 <= ri <= min(xi, yi)
给你一个二维整数数组 circles
,其中 circles[i] = [xi, yi, ri]
表示网格上圆心为 (xi, yi)
且半径为 ri
的第 i
个圆,返回出现在 至少一个 圆内的 格点数目 。
注意:
\n\n\n\n
示例 1:
\n\n\n输入:circles = [[2,2,1]]\n输出:5\n解释:\n给定的圆如上图所示。\n出现在圆内的格点为 (1, 2)、(2, 1)、(2, 2)、(2, 3) 和 (3, 2),在图中用绿色标识。\n像 (1, 1) 和 (1, 3) 这样用红色标识的点,并未出现在圆内。\n因此,出现在至少一个圆内的格点数目是 5 。\n\n
示例 2:
\n\n\n输入:circles = [[2,2,2],[3,4,1]]\n输出:16\n解释:\n给定的圆如上图所示。\n共有 16 个格点出现在至少一个圆内。\n其中部分点的坐标是 (0, 2)、(2, 0)、(2, 4)、(3, 2) 和 (4, 4) 。\n\n\n
\n\n
提示:
\n\n1 <= circles.length <= 200
circles[i].length == 3
1 <= xi, yi <= 100
1 <= ri <= min(xi, yi)
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