Leetcode 2: Add Two Numbers

作者: yarving | 来源:发表于2016-11-30 22:52 被阅读70次

    题目出处

    来自于leetcode

    题目描述

    You are given two linked lists representing two non-negative numbers. The digits are stored in reverse order and each of their nodes contain a single digit. Add the two numbers and return it as a linked list.

    Input: (2 -> 4 -> 3) + (5 -> 6 -> 4)
    Output: 7 -> 0 -> 8
    

    解读

    给定两个表示两个非负整数的单链表,这两个数按反序保存在单链表中,把两个数相加并返回一个单链表。
    给定的例子为342 + 465 = 807

    第一版答案

    1. 从两个单链表的开头相加,记住进位;
    2. 几个边界条件需要注意:
    • 入参的两个单链表有可能为空,若一个为空,则直接返回另一个即可;
    • 两个单链表长度可能不一样,在相加结束后需要把比较长的剩余的数值拷贝过去;
    • 进位也需要考虑,如5 + 5 = 10, 当两个单链表处理完毕后,如果还有进位,还需要增加一个节点

    代码如下

    # Definition for singly-linked list.
    # class ListNode(object):
    #     def __init__(self, x):
    #         self.val = x
    #         self.next = None
    
    class Solution(object):
        def addTwoNumbers(self, l1, l2):
            """
            :type l1: ListNode
            :type l2: ListNode
            :rtype: ListNode
            """
            if not l1:
                return l2
            if not l2:
                return l1
               
            carry = 0
            sums = l1.val + l2.val + carry
            carry = sums / 10
            res = ListNode(sums % 10)
            l1 = l1.next
            l2 = l2.next
           
            node  = res
            while l1 and l2:
                sums = l1.val + l2.val + carry
                tmp = ListNode(sums % 10)
                carry = sums / 10
               
                node.next = tmp
                node = node.next
                l1 = l1.next
                l2 = l2.next
               
            while l1:
                sums = l1.val + carry
                tmp = ListNode(sums % 10)
                carry = sums / 10
               
                node.next = tmp
                node = node.next
                l1 = l1.next
               
            while l2:
                sums = l2.val + carry
                tmp = ListNode(sums % 10)
                carry = sums / 10
               
                node.next = tmp
                node = node.next
                l2 = l2.next
           
            while carry:
                tmp = ListNode(carry % 10)
                carry = carry / 10
               
                node.next = tmp
                node = node.next
               
            return res
    

    第二版答案

    第一版答案中的代码不够精炼,从以下两个地方入手:

    1. 入参判断,对l1和l2的检查上,先定义一个头节点,返回头节点的next,这样可以避免处理l1或l2为空的情形,将链表中所有的节点一视同仁进行处理;
    2. 将四个while语句合并处理

    代码如下:

    # Definition for singly-linked list.
    # class ListNode(object):
    #     def __init__(self, x):
    #         self.val = x
    #         self.next = None
    
    class Solution(object):
        def addTwoNumbers(self, l1, l2):
            """
            :type l1: ListNode
            :type l2: ListNode
            :rtype: ListNode
            """
            head = ListNode(0)
               
            carry = 0
            node  = head
            while l1 or l2 or carry:
                val1, val2 = 0, 0
                if l1:
                    val1 = l1.val
                    l1 = l1.next
               
                if l2:
                    val2 = l2.val
                    l2 = l2.next
                   
                sums = val1 + val2 + carry
                tmp = ListNode(sums % 10)
                carry = sums / 10
               
                node.next = tmp
                node = node.next
               
            return head.next
    

    代码简洁了许多,由于增加了比较多的比较,效率会稍微下降点。

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