67二进制求和

给你两个二进制字符串,返回它们的和(用二进制表示)。

输入为 非空 字符串且只包含数字 1 和 0。

示例 1:

输入: a = "11", b = "1"
输出: "100"

示例 2:

输入: a = "1010", b = "1011"
输出: "10101"

提示:

  • 每个字符串仅由字符 ‘0’ 或 ‘1’ 组成。
  • 1 <= a.length, b.length <= 10^4
  • 字符串如果不是 “0” ,就都不含前导零。

来源:力扣(LeetCode) 链接:https://leetcode-cn.com/problems/add-binary 著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。

Solution 1

从后往前遍历

class Solution:
    def addBinary(self, a: str, b: str) -> str:
        def bitAdd(a, b, c):
            a = int(a)
            b = int(b)
            bit = str((a+b+c) % 2)
            c = int((a+b+c) / 2)
            return bit, c
        result = ""
        c = 0
        if len(a) >= len(b):
            for i in range(-1, -len(b)-1, -1):
                bit, c = bitAdd(a[i], b[i], c)
                result = bit + result
            for i in range(-len(b)-1, -len(a)-1, -1):
                bit, c = bitAdd(a[i], '0', c)
                result = bit + result
            if c == 1:
                result = '1' + result
        else:
            for i in range(-1, -len(a)-1, -1):
                bit, c = bitAdd(a[i], b[i], c)
                result = bit + result
            for i in range(-len(a)-1, -len(b)-1, -1):
                bit, c = bitAdd('0', b[i], c)
                result = bit + result
            if c == 1:
                result = '1' + result
        return result