You are given an array of strings names, and an array heights that consists of distinct positive integers. Both arrays are of length n.
For each index i, names[i] and heights[i] denote the name and height of the ith person.
Return names sorted in descending order by the people's heights.
Example 1:
Input: names = ["Mary","John","Emma"], heights = [180,165,170]
Output: ["Mary","Emma","John"]
Explanation: Mary is the tallest, followed by Emma and John.
Example 2:
Input: names = ["Alice","Bob","Bob"], heights = [155,185,150]
Output: ["Bob","Alice","Bob"]
Explanation: The first Bob is the tallest, followed by Alice and the second Bob.
Constraints:
n == names.length == heights.length
1 <= n <= 103
1 <= names[i].length <= 20
1 <= heights[i] <= 105
names[i] consists of lower and upper case English letters.
All the values of heights are distinct.
Solutions
Solution 1: Sorting
According to the problem description, we can create an index array \(idx\) of length \(n\), where \(idx[i]=i\). Then we sort each index in \(idx\) in descending order according to the corresponding height in \(heights\). Finally, we traverse each index \(i\) in the sorted \(idx\) and add \(names[i]\) to the answer array.
We can also create an array \(arr\) of length \(n\), where each element is a tuple \((heights[i], i)\). Then we sort \(arr\) in descending order by height. Finally, we traverse each element \((heights[i], i)\) in the sorted \(arr\) and add \(names[i]\) to the answer array.
The time complexity is \(O(n \times \log n)\), and the space complexity is \(O(n)\). Here, \(n\) is the length of the arrays \(names\) and \(heights\).