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: [-47.709  30.185 -87.758  77.468]

Output: -87.758


Input: Consider Input: [23.108 39.241 84.99  -6.525]

Output: 84.99


Input: Consider Input: [-63.959 -52.203 -45.884 -71.987  89.047]


Output: 89.047