Squares of a Sorted Array

01 · Question

Given an integer array nums sorted in non-decreasing order, return an array of the squares of each number sorted in non-decreasing order.

Example 1:

Input: nums = [-4,-1,0,3,10]
Output: [0,1,9,16,100]
Explanation: After squaring, the array becomes [16,1,0,9,100]. After sorting, it becomes [0,1,9,16,100].

Example 2:

Input: nums = [-7,-3,2,3,11]
Output: [4,9,9,49,121]

02 · Solution

Reference solution

1def sortedSquares(nums: List[int]) -> List[int]:
2    n = len(nums)
3    res = [0] * n
4    l, r = 0, n - 1
5    
6    for i in range(n - 1, -1, -1):
7        if abs(nums[l]) > abs(nums[r]):
8            res[i] = nums[l] ** 2
9            l += 1
10        else:
11            res[i] = nums[r] ** 2
12            r -= 1
13            
14    return res

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