EasyNo. 0977

Squares of a Sorted Array — LeetCode 977 Python Solution

Topics
Array, Two Pointers, Sorting
Reading time
3 min

The problem

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

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

Python solution

PythonSolution
class Solution:
    def sortedSquares(self, nums: List[int]) -> List[int]:
        ans = []
        i, j = 0, len(nums) - 1
        while i <= j:
            a = nums[i] * nums[i]
            b = nums[j] * nums[j]
            if a > b:
                ans.append(a)
                i += 1
            else:
                ans.append(b)
                j -= 1
        return ans[::-1]

Complexity

Time
O(n)where n is the length of the array nums
Space · auxiliary
O(1)

Pattern: Two Pointers

Use the order already in the input to discard half the search space at every step. LeetCode 977. Squares of a Sorted Array is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Two Pointers.

The two pointers guide has the Python template for the pattern and the 201 LeetCode problems that use it.

Related problems

Related problems
No.ProblemDifficulty
00153SumMedium
00163Sum ClosestMedium
00184SumMedium
0075Sort ColorsMedium
0088Merge Sorted ArrayEasy
0475HeatersMedium

Frequently asked questions

How hard is LeetCode 977. Squares of a Sorted Array?

LeetCode 977. Squares of a Sorted Array is rated Easy on LeetCode.

What is the time complexity of LeetCode 977. Squares of a Sorted Array?

The Python solution on this page runs in O(n), where n is the length of the array nums.

What is the space complexity of LeetCode 977. Squares of a Sorted Array?

The Python solution on this page uses O(1) auxiliary space.

What topics does LeetCode 977. Squares of a Sorted Array cover?

LeetCode 977. Squares of a Sorted Array is tagged Array, Two Pointers and Sorting on LeetCode.

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