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: [ 40.11   70.992 -42.864 -81.521]

Output: -81.521


Input: Consider Input: [ 76.605  -1.358 -84.418  34.752]

Output: -84.418


Input: Consider Input: [ -7.846 -95.488  33.94   82.567 -44.072  13.206  87.117  -2.401  60.517
   0.436]


Output: -95.488