Felix and Edward, Clifton Hill Primary:
We believe we have found a winning algorithm.
The theory for the strategy is to try to, on your turn, reach a set number determined by an algorithm
The algorithm is this: target number - (max range + 1)
This always works because there is no way your opponent can win in their next turn, allowing you to use any number to win.
Example: target number=23, range=1-4
Player
Players choice Running total
Player 1
1 1
Player 2
4 5
Player 1
3 8
Player 2
4 12
Player 1
3 15
Player 2
3 18*
Player 1
4 22
Player 2
1 23
*Notice that player 2 gets to 18. 4 (being the max range)+ 1 subtracted from the target number (23) to make 18.