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: [ 29.261 -57.835  18.839]

Output: -57.835


Input: Consider Input: [  2.205 -65.98  -48.327   9.454  83.846  82.418  17.473  88.113]

Output: 88.113


Input: Consider Input: [-69.182  39.756 -32.208  75.1   -51.108 -87.054  82.32   42.996  11.665]


Output: -87.054