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: [ 55.151  83.639 -69.798 -14.937  70.713   3.143  40.828  75.77   53.353]

Output: 83.639


Input: Consider Input: [42.605 -1.406]

Output: 42.605


Input: Consider Input: [ 18.657  -4.319 -98.541  -2.982 -75.799]


Output: -98.541