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: [-71.802 -29.057  31.418  72.026 -46.806 -81.347  18.936]

Output: -81.347


Input: Consider Input: [-20.017  99.38 ]

Output: 99.38


Input: Consider Input: [ 88.73  -64.607  56.132  -3.14  -24.793 -26.478  31.781 -43.289 -88.858]


Output: -88.858