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.
recursive and backtracking, after you move the game, it's left a non-movable result, you will win. Also, here use array to make change and restore. Look at code, there is one line
boolean win = !canWin(cs); For example"+++", after first move, --+ is non-movable
public void test() {
//win ++, +++, ++++, + ++ ++ +++
//failed,+++++,++--++--
String[] testcase = {"+","-","++","--","+++","++++","+--+","-+-+","+++++"};
for(int i=0;i<testcase.length;i++){
System.out.println(firstPlayWinning(testcase[i]));
}
}
public boolean firstPlayWinning(String s1) {
return canWin(s1.toCharArray());
}
public boolean canWin(char[] cs) {
for(int i=0;i<cs.length-1;i++) {
if(cs[i] == cs[i+1] && cs[i]=='+') {
cs[i] = '-';
cs[i+1] = '-';
boolean win = !canWin(cs);
cs[i] = '+';
cs[i+1] = '+';
if(win) return true;
}
}
return false;
}
翻转游戏策略与算法实现

本文探讨了翻转游戏中如何通过策略确保胜利,并提供了算法实现。通过改变连续的两个 '+' 符号为 '--',直到无法进行操作,确定初始玩家是否能确保获胜。
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