Count Lattice Points Inside a Circle
<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>

<p><strong>Note:</strong></p>

<ul>
	<li>A <strong>lattice point</strong> is a point with integer coordinates.</li>
	<li>Points that lie <strong>on the circumference of a circle</strong> are also considered to be inside it.</li>
</ul>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2022/03/02/exa-11.png" style="width: 300px; height: 300px;" />
<pre>
<strong>Input:</strong> circles = [[2,2,1]]
<strong>Output:</strong> 5
<strong>Explanation:</strong>
The figure above shows the given circle.
The lattice points present inside the circle are (1, 2), (2, 1), (2, 2), (2, 3), and (3, 2) and are shown in green.
Other points such as (1, 1) and (1, 3), which are shown in red, are not considered inside the circle.
Hence, the number of lattice points present inside at least one circle is 5.</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2022/03/02/exa-22.png" style="width: 300px; height: 300px;" />
<pre>
<strong>Input:</strong> circles = [[2,2,2],[3,4,1]]
<strong>Output:</strong> 16
<strong>Explanation:</strong>
The figure above shows the given circles.
There are exactly 16 lattice points which are present inside at least one circle. 
Some of them are (0, 2), (2, 0), (2, 4), (3, 2), and (4, 4).
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= circles.length &lt;= 200</code></li>
	<li><code>circles[i].length == 3</code></li>
	<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 100</code></li>
	<li><code>1 &lt;= r<sub>i</sub> &lt;= min(x<sub>i</sub>, y<sub>i</sub>)</code></li>
</ul>

['queries-on-number-of-points-inside-a-circle']
[]
[{"value": "cpp", "text": "C++", "defaultCode": "class Solution {\npublic:\n    int countLatticePoints(vector<vector<int>>& circles) {\n        \n    }\n};"}, {"value": "java", "text": "Java", "defaultCode": "class Solution {\n    public int countLatticePoints(int[][] circles) {\n        \n    }\n}"}, {"value": "python", "text": "Python", "defaultCode": "class Solution(object):\n    def countLatticePoints(self, circles):\n        \"\"\"\n        :type circles: List[List[int]]\n        :rtype: int\n        \"\"\"\n        "}, {"value": "python3", "text": "Python3", "defaultCode": "class Solution:\n    def countLatticePoints(self, circles: List[List[int]]) -> int:\n        "}, {"value": "c", "text": "C", "defaultCode": "int countLatticePoints(int** circles, int circlesSize, int* circlesColSize) {\n    \n}"}, {"value": "csharp", "text": "C#", "defaultCode": "public class Solution {\n    public int CountLatticePoints(int[][] circles) {\n        \n    }\n}"}, {"value": "javascript", "text": "JavaScript", "defaultCode": "/**\n * @param {number[][]} circles\n * @return {number}\n */\nvar countLatticePoints = function(circles) {\n    \n};"}, {"value": "typescript", "text": "TypeScript", "defaultCode": "function countLatticePoints(circles: number[][]): number {\n    \n};"}, {"value": "php", "text": "PHP", "defaultCode": "class Solution {\n\n    /**\n     * @param Integer[][] $circles\n     * @return Integer\n     */\n    function countLatticePoints($circles) {\n        \n    }\n}"}, {"value": "swift", "text": "Swift", "defaultCode": "class Solution {\n    func countLatticePoints(_ circles: [[Int]]) -> Int {\n        \n    }\n}"}, {"value": "kotlin", "text": "Kotlin", "defaultCode": "class Solution {\n    fun countLatticePoints(circles: Array<IntArray>): Int {\n        \n    }\n}"}, {"value": "dart", "text": "Dart", "defaultCode": "class Solution {\n  int countLatticePoints(List<List<int>> circles) {\n    \n  }\n}"}, {"value": "golang", "text": "Go", "defaultCode": "func countLatticePoints(circles [][]int) int {\n    \n}"}, {"value": "ruby", "text": "Ruby", "defaultCode": "# @param {Integer[][]} circles\n# @return {Integer}\ndef count_lattice_points(circles)\n    \nend"}, {"value": "scala", "text": "Scala", "defaultCode": "object Solution {\n    def countLatticePoints(circles: Array[Array[Int]]): Int = {\n        \n    }\n}"}, {"value": "rust", "text": "Rust", "defaultCode": "impl Solution {\n    pub fn count_lattice_points(circles: Vec<Vec<i32>>) -> i32 {\n        \n    }\n}"}, {"value": "racket", "text": "Racket", "defaultCode": "(define/contract (count-lattice-points circles)\n  (-> (listof (listof exact-integer?)) exact-integer?)\n  )"}, {"value": "erlang", "text": "Erlang", "defaultCode": "-spec count_lattice_points(Circles :: [[integer()]]) -> integer().\ncount_lattice_points(Circles) ->\n  ."}, {"value": "elixir", "text": "Elixir", "defaultCode": "defmodule Solution do\n  @spec count_lattice_points(circles :: [[integer]]) :: integer\n  def count_lattice_points(circles) do\n    \n  end\nend"}]
{
  "name": "countLatticePoints",
  "params": [
    {
      "name": "circles",
      "type": "integer[][]"
    }
  ],
  "return": {
    "type": "integer"
  }
}
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['Array', 'Hash Table', 'Math', 'Geometry', 'Enumeration']