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: [ 86.459  86.865 -77.437 -17.949 -31.801]

Output: 86.865


Input: Consider Input: [ 47.038 -33.053 -83.508  66.346 -69.651 -92.063  89.257 -85.477]

Output: -92.063


Input: Consider Input: [ 20.406  53.922  -6.862 -28.998 -38.863 -62.963 -51.649 -57.936]


Output: -62.963