Determine whether an integer is a palindrome. Do this without extra space.

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Some hints:

Could negative integers be palindromes? (ie, -1)

If you are thinking of converting the integer to string, note the restriction of using extra space.

You could also try reversing an integer. However, if you have solved the problem “Reverse Integer”, you know that the reversed integer might overflow. How would you handle such case?

There is a more generic way of solving this problem.

非常简洁的c++解决方案：

对于回文数只比较一半

public boolean isPalindrome1(int x) {

    if (x == 0) return true;

    // in leetcode, negative numbers and numbers with ending zeros

    // are not palindrome

    if (x < 0 || x % 10 == 0)

        return false;

    // reverse half of the number

    // the exit condition is y >= x

    // so that overflow is avoided.

    int y = 0;

    while (y < x) {

        y = y * 10 + (x % 10);

        if (x == y)  // to check numbers with odd digits

            return true;

        x /= 10;

    }

    return x == y; // to check numbers with even digits

}

python这个解法应该是前后分别对比：

class Solution:

    # @param x, an integer

    # @return a boolean

    def isPalindrome(self, x):

        if x < 0:

            return False

        ranger = 1

        while x / ranger >= 10:

            ranger *= 10

        while x:

            left = x / ranger

            right = x % 10

            if left != right:

                return False

            x = (x % ranger) / 10

            ranger /= 100

        return True

python字符串的解法：

class Solution:

    # @param {integer} x

    # @return {boolean}

    def isPalindrome(self, x):

        return str(x)==str(x)[::-1]