A Complex FunctionComputer Science Level 4
The first \(50\) natural numbers are written on a board. You apply the following operation \(49\) times, until you arrive at one final number:
Select any two numbers from the board, \(a\) and \(b\).
Erase those two numbers, and replace them with \(|a-b|\).
Determine the sum of all possible values for the final value remaining number on the board.