Medium
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:
x digits means to keep removing the leftmost digit, until only x digits remain.nums may contain leading zeros.Example 1:
Input: nums = [“102”,”473”,”251”,”814”], queries = [[1,1],[2,3],[4,2],[1,2]]
Output: [2,2,1,0]
Explanation:
After trimming to the last digit, nums = [“2”,”3”,”1”,”4”]. The smallest number is 1 at index 2.
Trimmed to the last 3 digits, nums is unchanged. The 2nd smallest number is 251 at index 2.
Trimmed to the last 2 digits, nums = [“02”,”73”,”51”,”14”]. The 4th smallest number is 73.
Trimmed to the last 2 digits, the smallest number is 2 at index 0.
Note that the trimmed number “02” is evaluated as 2.
Example 2:
Input: nums = [“24”,”37”,”96”,”04”], queries = [[2,1],[2,2]]
Output: [3,0]
Explanation:
Trimmed to the last digit, nums = [“4”,”7”,”6”,”4”]. The 2nd smallest number is 4 at index 3.
There are two occurrences of 4, but the one at index 0 is considered smaller than the one at index 3.
Trimmed to the last 2 digits, nums is unchanged. The 2nd smallest number is 24.
Constraints:
1 <= 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].lengthFollow up: Could you use the Radix Sort Algorithm to solve this problem? What will be the complexity of that solution?
class Solution {
fun smallestTrimmedNumbers(nums: Array<String>, queries: Array<IntArray>): IntArray {
val numberOfDigits = nums[0].length
var placeValue = numberOfDigits
val list: MutableList<IntArray> = ArrayList(numberOfDigits)
while (--placeValue >= 0) {
countSort(nums, placeValue, numberOfDigits, list)
}
val op = IntArray(queries.size)
var i = 0
for (query in queries) {
val listIndex = query[1] - 1
val place = query[0] - 1
op[i++] = list[listIndex][place]
}
return op
}
private fun countSort(arr: Array<String>, exp: Int, numberOfDigits: Int, list: MutableList<IntArray>) {
val n = arr.size
val output = arrayOfNulls<String>(n)
val count = IntArray(10)
count.fill(0)
// Store count of occurrences in count[]
var i = 0
while (i < n) {
val digit = arr[i][exp].code - '0'.code
count[digit]++
i++
}
i = 1
while (i < 10) {
count[i] += count[i - 1]
i++
}
// Build the output array
val op = IntArray(n)
i = n - 1
while (i >= 0) {
val digit = arr[i][exp].code - '0'.code
val place = count[digit] - 1
output[place] = arr[i]
if (exp == numberOfDigits - 1) {
op[place] = i
} else {
op[place] = list[list.size - 1][i]
}
count[digit]--
i--
}
list.add(op)
System.arraycopy(output, 0, arr, 0, n)
}
}