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: [ 64.418 -31.787  97.67   25.876  67.857  39.621  -0.767  48.485 -34.828]

Output: 97.67


Input: Consider Input: [-16.778 -20.192 -20.875 -15.329  57.081  69.46 ]

Output: 69.46


Input: Consider Input: [16.084 52.812 86.806  9.789]


Output: 86.806