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: [-42.839 -31.361  69.849  -3.598  28.2    62.079   9.214 -55.137  66.645]

Output: 69.849


Input: Consider Input: [-98.396  60.181 -50.529 -37.599  10.79   80.009   5.473  16.032]

Output: -98.396


Input: Consider Input: [-17.772  54.207  57.514  37.348 -38.84   56.743  24.127 -59.957  84.141]


Output: 84.141