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 twoconsecutive "++"
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.
For example, given
s = "++++"
, return true. The starting player can guarantee a win by flipping the middle "++"
to become "+--+"
.
Follow up:
Derive your algorithm's runtime complexity.
Derive your algorithm's runtime complexity.
Solution: backtracking, recursion
public class Solution { public boolean canWin(String s) { if (s == null || s.length() < 2) { return false; } for (int i = 0; i < s.length() - 1; i++) { if (s.substring(i, i + 2).equals("++")) { if (canWin(s.substring(0, i) + "--" + s.substring(i + 2)) == false) { return true; } } } return false; } }
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