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: [ 99.034 -68.072 -16.417  -0.201]

Output: 99.034


Input: Consider Input: [-64.986 -99.746 -49.754 -22.779 -35.449  -2.653 -22.783  17.296]

Output: -99.746


Input: Consider Input: [-35.724 -10.099  -2.861  91.916  31.523  36.651 -49.904  12.939 -55.521]


Output: 91.916