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: [ 31.644 -38.129 -24.586]

Output: -38.129


Input: Consider Input: [ 76.605  -1.358 -84.418  34.752]

Output: -84.418


Input: Consider Input: [ -0.501 -87.501  63.133]


Output: -87.501