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: [-59.805 -29.469  87.331  56.518 -31.485 -12.344]

Output: 87.331


Input: Consider Input: [-56.509  28.981  64.83 ]

Output: 64.83


Input: Consider Input: [ 63.91  -27.336  78.885 -82.239 -88.874  -7.581 -23.185]


Output: -88.874