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: [-51.777  29.162 -57.289  12.468  51.309 -57.076]

Output: -57.289


Input: Consider Input: [-17.231 -30.767 -89.949 -86.506]

Output: -89.949


Input: Consider Input: [ 3.876 96.747]


Output: 96.747