Friday, May 7, 2021

Squares of a Sorted Array

 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]

 

Constraints:

  • 1 <= nums.length <= 104
  • -104 <= nums[i] <= 104
  • nums is sorted in non-decreasing order.

 

Follow up: Squaring each element and sorting the new array is very trivial, could you find an O(n) solution using a different approach?

class Solution {
public:
    vector<int> sortedSquares(vector<int>& nums) {
        vector<int> ans(nums.size(), 0);
        int end = nums.size() - 1;
        int st = 0;
        int iter = nums.size() - 1;
        while (st <= end) {
            if (abs(nums[end]) > abs(nums[st])) {
                ans[iter] = nums[end] * nums[end];
                end--;
            } else {
                ans[iter] = nums[st] * nums[st];
                st++;
            }
            iter--;
        }
        return ans;
    }
};

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