Fibonacci speed game.

this two player game takes place on a number line. player one starts on 1 and player two starts on -1. they each start with a speed of 1 meaning on their turn they can move up or down the number line by up to 1. power ups are placed on Fibonacci values on alternating sides. so there are power ups at 2,-3,5,-8,13..... if a player ends their turn on one of these power ups their speed will become the absolute value of the number it is placed on. the power up is then removed. if at any time both players are at the same point the player with the highest speed wins the game. if player one goes first who will win? assume both players play optimally

player two no one will ever win player one

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