In mathematics, the absolute value of a number is the non-negative value of that number, without regarding its sign. For example, the absolute value of -2 is 2, and the absolute value of 5 is 5. In this task you will be given a list of numbers and you need to return the element with highest absolute value. If a negative and positive element have the same absolute value you should return the positive element. The absolute value for negative numbers can be found by multiplying them by -1. After finding the element with the maximum absolute value you should return the value of that element before you applied the absolute value.

Input: Consider Input: [-86.444 -13.584 -74.307   8.121  12.137  53.864  -3.266 -91.448 -62.768]

Output: -91.448


Input: Consider Input: [-69.105 -44.491 -23.339   1.651]

Output: -69.105


Input: Consider Input: [ 31.218 -51.539  83.192]


Output: 83.192