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: [-59.805 -29.469  87.331  56.518 -31.485 -12.344]

Output: 87.331


Input: Consider Input: [-46.983  86.011  65.036 -84.135  42.104 -24.871 -38.486  24.782]

Output: 86.011


Input: Consider Input: [  7.     61.012 -28.741 -46.618  32.054 -60.394 -66.644 -99.773]


Output: -99.773