leetcode-problemset/leetcode/originData/make-k-subarray-sums-equal.json

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            "questionId": "2670",
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            "title": "Make K-Subarray Sums Equal",
            "titleSlug": "make-k-subarray-sums-equal",
            "content": "<p>You are given a <strong>0-indexed</strong> integer array <code>arr</code> and an integer <code>k</code>. The array <code>arr</code> is circular. In other words, the first element of the array is the next element of the last element, and the last element of the array is the previous element of the first element.</p>\n\n<p>You can do the following operation any number of times:</p>\n\n<ul>\n\t<li>Pick any element from <code>arr</code> and increase or decrease it by <code>1</code>.</li>\n</ul>\n\n<p>Return <em>the minimum number of operations such that the sum of each <strong>subarray</strong> of length </em><code>k</code><em> is equal</em>.</p>\n\n<p>A <strong>subarray</strong> is a contiguous part of the array.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,4,1,3], k = 2\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> we can do one operation on index 1 to make its value equal to 3.\nThe array after the operation is [1,3,1,3]\n- Subarray starts at index 0 is [1, 3], and its sum is 4 \n- Subarray starts at index 1 is [3, 1], and its sum is 4 \n- Subarray starts at index 2 is [1, 3], and its sum is 4 \n- Subarray starts at index 3 is [3, 1], and its sum is 4 \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [2,5,5,7], k = 3\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> we can do three operations on index 0 to make its value equal to 5 and two operations on index 3 to make its value equal to 5.\nThe array after the operations is [5,5,5,5]\n- Subarray starts at index 0 is [5, 5, 5], and its sum is 15\n- Subarray starts at index 1 is [5, 5, 5], and its sum is 15\n- Subarray starts at index 2 is [5, 5, 5], and its sum is 15\n- Subarray starts at index 3 is [5, 5, 5], and its sum is 15 \n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= arr.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    long long makeSubKSumEqual(vector<int>& arr, int k) {\n        \n    }\n};",
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                    "code": "class Solution {\n    public long makeSubKSumEqual(int[] arr, int k) {\n        \n    }\n}",
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                {
                    "lang": "Python",
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                    "code": "class Solution(object):\n    def makeSubKSumEqual(self, arr, k):\n        \"\"\"\n        :type arr: List[int]\n        :type k: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "class Solution:\n    def makeSubKSumEqual(self, arr: List[int], k: int) -> int:\n        ",
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                    "lang": "C",
                    "langSlug": "c",
                    "code": "long long makeSubKSumEqual(int* arr, int arrSize, int k){\n\n}",
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                    "code": "public class Solution {\n    public long MakeSubKSumEqual(int[] arr, int k) {\n        \n    }\n}",
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                    "lang": "JavaScript",
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                    "code": "/**\n * @param {number[]} arr\n * @param {number} k\n * @return {number}\n */\nvar makeSubKSumEqual = function(arr, k) {\n    \n};",
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                    "lang": "Ruby",
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                    "code": "# @param {Integer[]} arr\n# @param {Integer} k\n# @return {Integer}\ndef make_sub_k_sum_equal(arr, k)\n    \nend",
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                    "code": "class Solution {\n    func makeSubKSumEqual(_ arr: [Int], _ k: Int) -> Int {\n        \n    }\n}",
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                    "lang": "Go",
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                    "code": "func makeSubKSumEqual(arr []int, k int) int64 {\n    \n}",
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                    "lang": "Scala",
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                    "code": "object Solution {\n    def makeSubKSumEqual(arr: Array[Int], k: Int): Long = {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
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                    "lang": "Kotlin",
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                    "code": "class Solution {\n    fun makeSubKSumEqual(arr: IntArray, k: Int): Long {\n        \n    }\n}",
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                    "lang": "Rust",
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                    "code": "impl Solution {\n    pub fn make_sub_k_sum_equal(arr: Vec<i32>, k: i32) -> i64 {\n        \n    }\n}",
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                    "lang": "PHP",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer[] $arr\n     * @param Integer $k\n     * @return Integer\n     */\n    function makeSubKSumEqual($arr, $k) {\n        \n    }\n}",
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                    "lang": "TypeScript",
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                    "code": "function makeSubKSumEqual(arr: number[], k: number): number {\n\n};",
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                    "code": "(define/contract (make-sub-k-sum-equal arr k)\n  (-> (listof exact-integer?) exact-integer? exact-integer?)\n\n  )",
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                    "lang": "Erlang",
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                    "code": "-spec make_sub_k_sum_equal(Arr :: [integer()], K :: integer()) -> integer().\nmake_sub_k_sum_equal(Arr, K) ->\n  .",
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                    "lang": "Elixir",
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                    "code": "defmodule Solution do\n  @spec make_sub_k_sum_equal(arr :: [integer], k :: integer) :: integer\n  def make_sub_k_sum_equal(arr, k) do\n\n  end\nend",
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                    "lang": "Dart",
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            "hints": [
                "Think about gcd(n, k). How will it help to calculate the answer?",
                "indices i and j are in the same group if gcd(n, k) mod i = gcd(n, k) mod j. Each group should have equal elements. Think about the minimum number of operations for each group",
                "The minimum number of operations for each group equals the summation of differences between the elements and the median of elements inside the group."
            ],
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            "sampleTestCase": "[1,4,1,3]\n2",
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