294. Flip Game II

You are playing the following Flip Game with your friend: Given a string that contains only these two characters: + and - , you and your friend take turns to flip two consecutive "++" into "--" . The game ends when a person can no longer make a move and therefore the other person will be the winner.

Write a function to determine if the starting player can guarantee a win.

Example:

Input:

 
s = "++++"

Output:

 true 
Explanation: 

The starting player can guarantee a win by flipping the middle 
"++"

 to become 
"+--+"

.

Follow up:
Derive your algorithm's runtime complexity.

Difficulty:

Medium

Lock:

Prime

Company:

Google