977. Squares of a Sorted Array

Qustion

Given an array of integers A sorted in non-decreasing order, return an array of the squares of each number, also in sorted non-decreasing order.

Example 1:

Input: [-4,-1,0,3,10]
Output: [0,1,9,16,100]
Example 2:

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

Note:

  • 1 <= A.length <= 10000
  • -10000 <= A[i] <= 10000
  • A is sorted in non-decreasing order.

Solution

  • Method 1: Two pointer middle to ends
    class Solution {
        public int[] sortedSquares(int[] A) {
            if(A.length == 1) return new int[]{A[0] * A[0]};
            int min = Integer.MAX_VALUE, index = -1;
            for(int i = 0; i < A.length; i++){  // O(n)
                int abs = Math.abs(A[i]);
                if(abs < min){
                    index = i;
                    min = abs;
                }
            }
            int left = index, right = index + 1;
            int[] result = new int[A.length];
            int count = 0;
            while(left >= 0 && right < A.length){
                if(Math.abs(A[left]) < Math.abs(A[right])){
                    result[count++] = A[left] * A[left];
                    left--;
                }else{
                    result[count++] = A[right] * A[right];
                    right++;
                }
            }
            while(left >= 0){
                result[count++] = A[left] * A[left];
                left--;
            }
            while(right < A.length){
                result[count++] = A[right] * A[right];
                right++;
            }
            return result;
        }
    }
    
  • Method 2: ends to middle
    class Solution {
        public int[] sortedSquares(int[] A) {
            int left = 0, right = A.length - 1;
            int[] result = new int[A.length];
            int count = A.length - 1;
            while(left <= right){
                if(A[left] * A[left] > A[right] * A[right]){
                    result[count--] = A[left] * A[left];
                    left++;
                }else{
                    result[count--] = A[right] * A[right];
                    right--;
                }
            }
            return result;
        }
    }