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: [-51.777  29.162 -57.289  12.468  51.309 -57.076]

Output: -57.289


Input: Consider Input: [-13.887  54.164  63.864  54.951 -15.801  57.821  74.371  17.42  -42.28 ]

Output: 74.371


Input: Consider Input: [-62.557  49.597  65.461 -62.171  77.551   6.803]


Output: 77.551