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: [ 42.61   61.138   3.712  36.067  64.205  37.308  33.041 -84.211]

Output: -84.211


Input: Consider Input: [-86.123  44.118 -19.073 -35.492 -68.687]

Output: -86.123


Input: Consider Input: [-51.258  80.531 -16.192  -3.486   1.162 -68.448 -58.123]


Output: 80.531