{ "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 <= 100
1 <= nums[i].length <= 100
nums[i]
consists of only digits.nums[i].length
are equal.1 <= queries.length <= 100
queries[i].length == 2
1 <= ki <= nums.length
1 <= 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 <= 100
1 <= nums[i].length <= 100
nums[i]
只包含数字。nums[i].length
的长度 相同 。1 <= queries.length <= 100
queries[i].length == 2
1 <= ki <= nums.length
1 <= 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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