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: [-93.606  29.93   87.462 -29.661  -4.801]

Output: -93.606


Input: Consider Input: [78.189 82.015 24.973]

Output: 82.015


Input: Consider Input: [ 37.736  30.903  78.18  -98.505  18.525 -38.436 -42.033]


Output: -98.505