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: [ 38.652  80.691 -19.575  24.969 -47.597]

Output: 80.691


Input: Consider Input: [ 88.552 -53.306 -46.736 -19.458 -76.252 -31.889  62.093  70.492  60.058]

Output: 88.552


Input: Consider Input: [ 84.953  83.553 -45.262 -71.934 -27.871  -2.515   9.55 ]


Output: 84.953