Flip Game ll
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.
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.
public boolean canWin(String s) {
Set<Integer> set = new HashSet<>();
for (int i = 0; i + 1< s.length(); i ++) {
if (s.charAt(i) == s.charAt(i + 1) && s.charAt(i) == '+') {
set.add(i);
}
}
return helper(set);
}
public boolean helper(Set<Integer> set) {
for (int move : set) {
Set<Integer> newSet = new HashSet<>(set);
newSet.remove(move);
boolean hasLeft = newSet.remove(move - 1);
boolean hasRight = newSet.remove(move + 1);
if (!helper(newSet)) {
return true;
}
newSet.add(move);
if (hasLeft) newSet.add(move - 1);
if (hasRight) newSet.add(move + 1);
}
return false;
}