A k-mirror number is a positive integer without leading zeros that reads the same both forward and backward in base-10 as well as in base-k.
\n\n9 is a 2-mirror number. The representation of 9 in base-10 and base-2 are 9 and 1001 respectively, which read the same both forward and backward.4 is not a 2-mirror number. The representation of 4 in base-2 is 100, which does not read the same both forward and backward.Given the base k and the number n, return the sum of the n smallest k-mirror numbers.
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Example 1:
\n\n\nInput: k = 2, n = 5\nOutput: 25\nExplanation:\nThe 5 smallest 2-mirror numbers and their representations in base-2 are listed as follows:\n base-10 base-2\n 1 1\n 3 11\n 5 101\n 7 111\n 9 1001\nTheir sum = 1 + 3 + 5 + 7 + 9 = 25. \n\n\n
Example 2:
\n\n\nInput: k = 3, n = 7\nOutput: 499\nExplanation:\nThe 7 smallest 3-mirror numbers are and their representations in base-3 are listed as follows:\n base-10 base-3\n 1 1\n 2 2\n 4 11\n 8 22\n 121 11111\n 151 12121\n 212 21212\nTheir sum = 1 + 2 + 4 + 8 + 121 + 151 + 212 = 499.\n\n\n
Example 3:
\n\n\nInput: k = 7, n = 17\nOutput: 20379000\nExplanation: The 17 smallest 7-mirror numbers are:\n1, 2, 3, 4, 5, 6, 8, 121, 171, 242, 292, 16561, 65656, 2137312, 4602064, 6597956, 6958596\n\n\n
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Constraints:
\n\n2 <= k <= 91 <= n <= 30一个 k 镜像数字 指的是一个在十进制和 k 进制下从前往后读和从后往前读都一样的 没有前导 0 的 正 整数。
\n\n9 是一个 2 镜像数字。9 在十进制下为 9 ，二进制下为 1001 ，两者从前往后读和从后往前读都一样。4 不是一个 2 镜像数字。4 在二进制下为 100 ，从前往后和从后往前读不相同。给你进制 k 和一个数字 n ，请你返回 k 镜像数字中 最小 的 n 个数 之和 。
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示例 1：
\n\n输入：k = 2, n = 5\n输出：25\n解释：\n最小的 5 个 2 镜像数字和它们的二进制表示如下：\n 十进制 二进制\n 1 1\n 3 11\n 5 101\n 7 111\n 9 1001\n它们的和为 1 + 3 + 5 + 7 + 9 = 25 。\n\n\n
示例 2：
\n\n输入：k = 3, n = 7\n输出：499\n解释：\n7 个最小的 3 镜像数字和它们的三进制表示如下：\n 十进制 三进制\n 1 1\n 2 2\n 4 11\n 8 22\n 121 11111\n 151 12121\n 212 21212\n它们的和为 1 + 2 + 4 + 8 + 121 + 151 + 212 = 499 。\n\n\n
示例 3：
\n\n输入：k = 7, n = 17\n输出：20379000\n解释：17 个最小的 7 镜像数字分别为：\n1, 2, 3, 4, 5, 6, 8, 121, 171, 242, 292, 16561, 65656, 2137312, 4602064, 6597956, 6958596\n\n\n
\n\n
提示：
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