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: [ 83.183  28.591 -73.084 -51.415  97.751  34.979]

Output: 97.751


Input: Consider Input: [ 49.592 -78.537 -20.073  81.134   9.204  84.775 -67.841 -57.461]

Output: 84.775


Input: Consider Input: [-81.835  97.119  78.001  85.832  16.868   1.246 -73.84   93.202]


Output: 97.119