Valid Palindrome

题目描述：

Given a string, determine if it is a palindrome, considering only alphanumeric characters and ignoring cases.

For example,
"A man, a plan, a canal: Panama" is a palindrome.
"race a car" is not a palindrome.

Note:
Have you consider that the string might be empty? This is a good question to ask during an interview.

For the purpose of this problem, we define empty string as valid palindrome.

题目链接：https://leetcode.com/problems/valid-palindrome/#/description

简单说就是判断一个字符串忽略所有非字母数字，忽略大小写之后是不是回文串。

这个问题直接从头尾两端迭代判断就可以了。

一开始的写法是这样的

class Solution {
public:
    bool isPalindrome(string s) {
        int i = 0, j = s.length() - 1;

        while(j > i)
        {
            findAlnum(s, i, true);
            findAlnum(s, j, false);
            if(j  <= i ) return true;
            if(tolower(s[i]) != tolower(s[j]))
            {

                return false;
            }
            ++ i ;
            -- j ;
        }
        return true;
    }
    void findAlnum(string s,int &index, bool forward)
    {
        while(index >= 0 && index <= s.length() - 1 && !isalnum(s[index]))
            index = forward? index + 1 : index - 1;
    }
};

但是第476个testcase时会超时，testcase为

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嗯，确实是很长的一个testcase，

于是就开始研究怎么节省操作。

首先while循环采用的是从两侧推进的方式，应该没有什么更高效率的方法了。

其次我是直接在原串判断，而不是将原串化为全大写或全小写的删除所有非字母数字的串再进行判断，也就省了很多时间和空间。

主要问题就出在这个findAlnum上，由于信息丢失，必须在循环里面再判断移动了的index是否有超界，否则面对“......”这样的testcase就会访问越界，而且还要考虑是前向移动还是后向移动，再加上调用函数本身也是有消耗的，所以打算把findAlnum函数取消掉，把内容嵌入函数主体里，奇怪的是，这样的代码也能AC

class Solution {
public:
    bool isPalindrome(string s) {
        if (s.length() == 0) return true;
        int i = 0, j = s.length() - 1;

        while(j > i)
        {
            while(!isalnum(s[i])) ++i;
            while(!isalnum(s[j])) --j;
            if(j  <= i ) return true;
            if(tolower(s[i]) != tolower(s[j]))
            {

                return false;
            }
            ++ i ;
            -- j ;
        }
        return true;
    }

};

不论是OJ还是本地编译器都不会产生越界错误，尽管确实越界，而且偏偏这循环还能够停下来。

开始猜测是string在内存里的存储结构里有symbol是alnum，于是去搜索了一下string的结构。

然而测试了一下，不修改代码重复build，循环停下来的index在小范围内摆动，应该是脏数据。

后来回想起来，string的[]确实没有边界检查，要用边界检测的话使用at()函数。没有边界检查自然就不会报出越界错误，至于在脏数据里的哪里结束循环更加是没有必要探究的事情。

更安全更保险的写法是这样的，这样可以避免访问越界，更加安全可靠。

class Solution {
public:
    bool isPalindrome(string s) {
        int i = 0, j = s.length() - 1;

        while(j > i)
        {
            if(!isalnum(s[i])) i ++;
            else if(!isalnum(s[j])) j --;
            else 
            {
                if(tolower(s[i]) != tolower(s[j]))
                {
                    return false;
                }
                ++ i ;
                -- j ;
            }
        }
        return true;
    }
};