{ "data": { "question": { "questionId": "2422", "questionFrontendId": "2343", "categoryTitle": "Algorithms", "boundTopicId": 1668274, "title": "Query Kth Smallest Trimmed Number", "titleSlug": "query-kth-smallest-trimmed-number", "content": "
You are given a 0-indexed array of strings nums, where each string is of equal length and consists of only digits.
You are also given a 0-indexed 2D integer array queries where queries[i] = [ki, trimi]. For each queries[i], you need to:
nums to its rightmost trimi digits.kith smallest trimmed number in nums. If two trimmed numbers are equal, the number with the lower index is considered to be smaller.nums to its original length.Return an array answer of the same length as queries, where answer[i] is the answer to the ith query.
Note:
\n\nx digits means to keep removing the leftmost digit, until only x digits remain.nums may contain leading zeros.\n
Example 1:
\n\n\nInput: nums = ["102","473","251","814"], queries = [[1,1],[2,3],[4,2],[1,2]]\nOutput: [2,2,1,0]\nExplanation:\n1. After trimming to the last digit, nums = ["2","3","1","4"]. The smallest number is 1 at index 2.\n2. Trimmed to the last 3 digits, nums is unchanged. The 2nd smallest number is 251 at index 2.\n3. Trimmed to the last 2 digits, nums = ["02","73","51","14"]. The 4th smallest number is 73.\n4. Trimmed to the last 2 digits, the smallest number is 2 at index 0.\n Note that the trimmed number "02" is evaluated as 2.\n\n\n
Example 2:
\n\n\nInput: nums = ["24","37","96","04"], queries = [[2,1],[2,2]]\nOutput: [3,0]\nExplanation:\n1. Trimmed to the last digit, nums = ["4","7","6","4"]. The 2nd smallest number is 4 at index 3.\n There are two occurrences of 4, but the one at index 0 is considered smaller than the one at index 3.\n2. Trimmed to the last 2 digits, nums is unchanged. The 2nd smallest number is 24.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1001 <= nums[i].length <= 100nums[i] consists of only digits.nums[i].length are equal.1 <= queries.length <= 100queries[i].length == 21 <= ki <= nums.length1 <= trimi <= nums[i].length\n
Follow up: Could you use the Radix Sort Algorithm to solve this problem? What will be the complexity of that solution?
\n", "translatedTitle": "裁剪数字后查询第 K 小的数字", "translatedContent": "给你一个下标从 0 开始的字符串数组 nums ,其中每个字符串 长度相等 且只包含数字。
再给你一个下标从 0 开始的二维整数数组 queries ,其中 queries[i] = [ki, trimi] 。对于每个 queries[i] ,你需要:
nums 中每个数字 裁剪 到剩下 最右边 trimi 个数位。nums 中第 ki 小数字对应的 下标 。如果两个裁剪后数字一样大,那么下标 更小 的数字视为更小的数字。nums 中每个数字恢复到原本字符串。请你返回一个长度与 queries 相等的数组 answer,其中 answer[i]是第 i 次查询的结果。
提示:
\n\nx 个数位的意思是不断删除最左边的数位,直到剩下 x 个数位。nums 中的字符串可能会有前导 0 。\n\n
示例 1:
\n\n\n输入:nums = [\"102\",\"473\",\"251\",\"814\"], queries = [[1,1],[2,3],[4,2],[1,2]]\n输出:[2,2,1,0]\n解释:\n1. 裁剪到只剩 1 个数位后,nums = [\"2\",\"3\",\"1\",\"4\"] 。最小的数字是 1 ,下标为 2 。\n2. 裁剪到剩 3 个数位后,nums 没有变化。第 2 小的数字是 251 ,下标为 2 。\n3. 裁剪到剩 2 个数位后,nums = [\"02\",\"73\",\"51\",\"14\"] 。第 4 小的数字是 73 ,下标为 1 。\n4. 裁剪到剩 2 个数位后,最小数字是 2 ,下标为 0 。\n 注意,裁剪后数字 \"02\" 值为 2 。\n\n\n
示例 2:
\n\n\n输入:nums = [\"24\",\"37\",\"96\",\"04\"], queries = [[2,1],[2,2]]\n输出:[3,0]\n解释:\n1. 裁剪到剩 1 个数位,nums = [\"4\",\"7\",\"6\",\"4\"] 。第 2 小的数字是 4 ,下标为 3 。\n 有两个 4 ,下标为 0 的 4 视为小于下标为 3 的 4 。\n2. 裁剪到剩 2 个数位,nums 不变。第二小的数字是 24 ,下标为 0 。\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 1001 <= nums[i].length <= 100nums[i] 只包含数字。nums[i].length 的长度 相同 。1 <= queries.length <= 100queries[i].length == 21 <= ki <= nums.length1 <= trimi <= nums[0].length\n\n
进阶:你能使用 基数排序算法 解决此问题吗?这种解法的复杂度又是多少?
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