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: [  8.5    89.694 -22.223  -5.548  -9.899  62.729]

Output: 89.694


Input: Consider Input: [37.419 68.765]

Output: 68.765


Input: Consider Input: [  5.184  28.513  16.944  39.178  39.196 -31.99   -5.656 -25.658 -61.773
 -52.228]


Output: -61.773