{ "data": { "question": { "questionId": "3229", "questionFrontendId": "2967", "categoryTitle": "Algorithms", "boundTopicId": 2567381, "title": "Minimum Cost to Make Array Equalindromic", "titleSlug": "minimum-cost-to-make-array-equalindromic", "content": "

You are given a 0-indexed integer array nums having length n.

\n\n

You are allowed to perform a special move any number of times (including zero) on nums. In one special move you perform the following steps in order:

\n\n\n\n

A palindromic number is a positive integer that remains the same when its digits are reversed. For example, 121, 2552 and 65756 are palindromic numbers whereas 24, 46, 235 are not palindromic numbers.

\n\n

An array is considered equalindromic if all the elements in the array are equal to an integer y, where y is a palindromic number less than 109.

\n\n

Return an integer denoting the minimum possible total cost to make nums equalindromic by performing any number of special moves.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [1,2,3,4,5]\nOutput: 6\nExplanation: We can make the array equalindromic by changing all elements to 3 which is a palindromic number. The cost of changing the array to [3,3,3,3,3] using 4 special moves is given by |1 - 3| + |2 - 3| + |4 - 3| + |5 - 3| = 6.\nIt can be shown that changing all elements to any palindromic number other than 3 cannot be achieved at a lower cost.\n
\n\n

Example 2:

\n\n
\nInput: nums = [10,12,13,14,15]\nOutput: 11\nExplanation: We can make the array equalindromic by changing all elements to 11 which is a palindromic number. The cost of changing the array to [11,11,11,11,11] using 5 special moves is given by |10 - 11| + |12 - 11| + |13 - 11| + |14 - 11| + |15 - 11| = 11.\nIt can be shown that changing all elements to any palindromic number other than 11 cannot be achieved at a lower cost.\n
\n\n

Example 3:

\n\n
\nInput: nums = [22,33,22,33,22]\nOutput: 22\nExplanation: We can make the array equalindromic by changing all elements to 22 which is a palindromic number. The cost of changing the array to [22,22,22,22,22] using 2 special moves is given by |33 - 22| + |33 - 22| = 22.\nIt can be shown that changing all elements to any palindromic number other than 22 cannot be achieved at a lower cost.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "使数组成为等数数组的最小代价", "translatedContent": "

给你一个长度为 n 下标从 0 开始的整数数组 nums 。

\n\n

你可以对 nums 执行特殊操作 任意次 （也可以 0 次）。每一次特殊操作中，你需要 按顺序 执行以下步骤：

\n\n\n\n

如果一个正整数正着读和反着读都相同，那么我们称这个数是 回文数 。比方说，121 ，2552 和 65756 都是回文数，但是 24 ，46 ，235 都不是回文数。

\n\n

如果一个数组中的所有元素都等于一个整数 y ，且 y 是一个小于 109 的 回文数 ，那么我们称这个数组是一个 等数数组 。

\n\n

请你返回一个整数，表示执行任意次特殊操作后使 nums 成为 等数数组 的 最小 总代价。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：nums = [1,2,3,4,5]\n输出：6\n解释：我们可以将数组中所有元素变为回文数 3 得到等数数组，数组变成 [3,3,3,3,3] 需要执行 4 次特殊操作，代价为 |1 - 3| + |2 - 3| + |4 - 3| + |5 - 3| = 6 。\n将所有元素变为其他回文数的总代价都大于 6 。\n
\n\n

示例 2：

\n\n
\n输入：nums = [10,12,13,14,15]\n输出：11\n解释：我们可以将数组中所有元素变为回文数 11 得到等数数组，数组变成 [11,11,11,11,11] 需要执行 5 次特殊操作，代价为 |10 - 11| + |12 - 11| + |13 - 11| + |14 - 11| + |15 - 11| = 11 。\n将所有元素变为其他回文数的总代价都大于 11 。\n
\n\n

示例 3 ：

\n\n
\n输入：nums = [22,33,22,33,22]\n输出：22\n解释：我们可以将数组中所有元素变为回文数 22 得到等数数组，数组变为 [22,22,22,22,22] 需要执行 2 次特殊操作，代价为 |33 - 22| + |33 - 22| = 22 。\n将所有元素变为其他回文数的总代价都大于 22 。\n
\n\n

 

\n\n

提示：

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