python算法日记(链表系列)_leetcode 2. 两数相加

给出两个 非空 的链表用来表示两个非负的整数。其中,它们各自的位数是按照 逆序 的方式存储的,并且它们的每个节点只能存储 一位 数字。

如果,我们将这两个数相加起来,则会返回一个新的链表来表示它们的和。

您可以假设除了数字 0 之外,这两个数都不会以 0 开头。

示例:

输入:(2 -> 4 -> 3) + (5 -> 6 -> 4)
输出:7 -> 0 -> 8
原因:342 + 465 = 807

来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/add-two-numbers
用迭代的方法:

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None

class Solution:
    def addTwoNumbers(self, l1: ListNode, l2: ListNode) -> ListNode:
        res = l3 = ListNode(0)
        flag = 0  # flag表示是否进位
        while l1 or l2:
            sums = 0
            if l1:   #有就加,没有就不加,用来处理长短不一
                sums = l1.val
                l1 = l1.next
            if l2:
                sums += l2.val
                l2 = l2.next
            sums += flag
            if sums<=9:
                l3.next = ListNode(sums)
                l3 = l3.next
                flag = 0 
            else:
                flag = sums//10
                l3.next = ListNode(sums%10)
                l3 = l3.next
        if flag:
            l3.next = ListNode(1) #l1,l2都没有了还有进位的情况
        return res.next

迭代二:

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None

class Solution:
    def addTwoNumbers(self, l1: ListNode, l2: ListNode) -> ListNode:
        flag = 0
        cur = l3 = ListNode(0)
        while l1 and l2:  # 处理l1,l2同时在的情况,如果有一个有,有一个没有就补零
            sums = l1.val + l2.val + flag
            if sums//10==0:
                l3.next=ListNode(sums)
                flag = 0
            else:
                l3.next=ListNode(sums%10)
                flag = 1
            l3 = l3.next
            if l1.next and l2.next:
                l1 = l1.next
                l2 = l2.next
            elif l1.next and not l2.next:
                l2.next = ListNode(0)
                l1 = l1.next
                l2 = l2.next
            elif l2.next and not l1.next:
                l1.next = ListNode(0)
                l1 = l1.next
                l2 = l2.next
            else:
                break
        if flag:
            l3.next = ListNode(1)
        return cur.next

迭代二精简了一下:

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None

class Solution:
    def addTwoNumbers(self, l1: ListNode, l2: ListNode) -> ListNode:
        flag = 0
        cur = l3 = ListNode(0)
        while l1 and l2:
            sums = l1.val + l2.val + flag
            if sums//10==0:
                l3.next=ListNode(sums)
                flag = 0
            else:
                l3.next=ListNode(sums%10)
                flag = 1
            l3 = l3.next
            if not l1.next and not l2.next:
                break
            l1 = l1.next or ListNode(0)
            l2 = l2.next or ListNode(0)
        if flag:
            l3.next = ListNode(1)
        return cur.next

递归:不用额外的链表,直接把l1改掉:

递归终止条件:两个链表都没有值了。递归重复在做的事:相加,判断是否进位。递归返回值:节点。

这里先处理相加等操作,再进入递归。相当于二叉树先序,先存根节点值,再进递归。

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None

class Solution:
    def addTwoNumbers(self, l1: ListNode, l2: ListNode) -> ListNode:
        def loop(l1,l2,flag):
            if not l1 and not l2: #递归终止条件
                return ListNode(1) if flag else None #走完还有进位,返回节点1,没有返回None
            l1 = l1 or ListNode(0) #有一个有有一个没有补零
            l2 = l2 or ListNode(0)
            sums = l1.val+l2.val+flag
            if sums<=9:
                l1.val=sums  #直接改l1装结果
                flag = 0
            else:
                l1.val = sums%10
                flag = 1
            l1.next = loop(l1.next,l2.next,flag)
            return l1
        return loop(l1,l2,0)

        # # 新建一个节点去接也行
        # def loop(l1,l2,flag):
        #     if not l1 and not l2:
        #         return ListNode(1) if flag else None
        #     l1 = l1 or ListNode(0)
        #     l2 = l2 or ListNode(0)
        #     sums = l1.val+l2.val+flag
        #     l3 = ListNode(0)
        #     l3.val = sums%10
        #     flag = sums//10
        #     l3.next = loop(l1.next,l2.next,flag)
        #     return l3
        # return loop(l1,l2,0)

输入:(2 -> 4 -> 3) + (5 -> 6 -> 4)

21行 7.next      21行 0.next     21行8.next      11行返回None接到8后面   22行返回8->None

21行 0->8->None 22行返回  21行7->0->8->None 22行返回

 

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