每日一练 — 2021.12.03

文章目录


一、两两交换链表中的节点

1、程序简介

  • 给定一个链表,两两交换其中相邻的节点,并返回交换后的链表。
  • 你不能只是单纯的改变节点内部的值,而是需要实际的进行节点交换。

示例 1:

每日一练 — 2021.12.03

  • 输入:head = [1,2,3,4]
  • 输出:[2,1,4,3]

示例 2:

  • 输入:head = []
  • 输出:[]

示例 3:

  • 输入:head = [1]
  • 输出:[1]

提示:

  • 链表中节点的数目在范围 [0, 100] 内
  • 0 <= Node.val <= 100

进阶:

  • 你能在不修改链表节点值的情况下解决这个问题吗?(也就是说,仅修改节点本身。)

2、程序代码

# -*- coding: utf-8 -*-
"""
Created on Fri Dec  3 15:31:48 2021
Function:
@author: 小梁aixj
"""

class ListNode(object):
    def __init__(self, x):
        self.val=x
        self.next=None
class LinkList:
    def __init__(self):
        self.head=None
    def initList(self, data):
        self.head=ListNode(data[0])
        r=self.head
        p=self.head
        for i in data[1:]:
            node=ListNode(i)
            p.next=node
            p=p.next
        return r
    def convert_list(self,head):
        ret=[]
        if head==None:
            return
        node=head
        while node != None:
            ret.append(node.val)
            node=node.next
        return ret
class Solution(object):
    def swapPairs(self, head):
        dummyHead=ListNode(-1)
        dummyHead.next=head
        prev, p = dummyHead, head
        while p != None and p.next != None:
            q, r=p.next, p.next.next
            prev.next=q
            q.next=p
            p.next=r
            prev=p
            p=r
        return dummyHead.next
#%%
l=LinkList()
head=[1,2,3,4]
l1=l.initList(head)
s=Solution()
print(l.convert_list(s.swapPairs(l1)))

3、运行结果

每日一练 — 2021.12.03


二、K个一组翻转列表

1、程序简介

  • 给你一个链表,每 k 个节点一组进行翻转,请你返回翻转后的链表。
  • k 是一个正整数,它的值小于或等于链表的长度。
  • 如果节点总数不是 k 的整数倍,那么请将最后剩余的节点保持原有顺序。

进阶:

  • 你可以设计一个只使用常数额外空间的算法来解决此问题吗?
  • 你不能只是单纯的改变节点内部的值,而是需要实际进行节点交换。

示例 1:

每日一练 — 2021.12.03

  • 输入:head = [1,2,3,4,5], k = 2
  • 输出:[2,1,4,3,5]

示例 2:

每日一练 — 2021.12.03

  • 输入:head = [1,2,3,4,5], k = 3
  • 输出:[3,2,1,4,5]

示例 3:

  • 输入:head = [1,2,3,4,5], k = 1
  • 输出:[1,2,3,4,5]

示例 4:

  • 输入:head = [1], k = 1
  • 输出:[1]

提示:

  • 列表中节点的数量在范围 sz 内
  • 1 <= sz <= 5000
  • 0 <= Node.val <= 1000
  • 1 <= k <= sz

2、程序代码

# -*- coding: utf-8 -*-
"""
Created on Fri Dec  3 15:32:44 2021
Function:
@author: 小梁aixj
"""
class ListNode(object):
    def __init__(self, x):
        self.val=x
        self.next=None
class LinkList:
    def __init__(self):
        self.head=None
    def initList(self, data):
        self.head=ListNode(data[0])
        r=self.head
        p=self.head
        for i in data[1:]:
            node=ListNode(i)
            p.next=node
            p=p.next
        return r
    def convert_list(self,head):
        ret=[]
        if head == None:
            return
        node=head
        while node != None:
            ret.append(node.val)
            node=node.next
        return ret
class Solution(object):
    def reverseKGroup(self, head, k):
        if head is None:
            return None
        index = 0
        lead, last=0,0
        pos=head
        temp=ListNode(-1)
        temp.next=head
        head=temp
        start=head
        while pos is not None:
            if index%k == k-1:
                last=pos.next
                start=self.reverseList(start, last)
                pos=start
            pos=pos.next
            index ^= 1
        return head.next
    def reverseList(self, head, end):
        pos=head.next
        last=end
        next_start=pos
        while pos != end:
            head.next=pos
            last_pos=pos
            pos=pos.next
            last_pos.next=last
            last=last_pos
        return next_start
#%%
l = LinkList()
head = [1,2,3,4,5]
l1 = l.initList(head)
s = Solution()
print(l.convert_list(s.reverseKGroup(l1, k = 2)))

3、运行结果

每日一练 — 2021.12.03


三、解数独

1、程序简介

编写一个程序,通过填充空格来解决数独问题。

数独的解法需 遵循如下规则

  1. 数字 1-9 在每一行只能出现一次。
  2. 数字 1-9 在每一列只能出现一次。
  3. 数字 1-9 在每一个以粗实线分隔的 3x3 宫内只能出现一次。(请参考示例图)

注:数独部分空格内已填入了数字,空白格用 ‘.’ 表示。

示例:

每日一练 — 2021.12.03

输入:

     board = 
[["5","3",".",".","7",".",".",".","."],
["6",".",".","1","9","5",".",".","."],
[".","9","8",".",".",".",".","6","."],
["8",".",".",".","6",".",".",".","3"],
["4",".",".","8",".","3",".",".","1"],
["7",".",".",".","2",".",".",".","6"],
[".","6",".",".",".",".","2","8","."],
[".",".",".","4","1","9",".",".","5"],
[".",".",".",".","8",".",".","7","9"]]

输出:

[["5","3","4","6","7","8","9","1","2"],
["6","7","2","1","9","5","3","4","8"],
["1","9","8","3","4","2","5","6","7"],
["8","5","9","7","6","1","4","2","3"],
["4","2","6","8","5","3","7","9","1"],
["7","1","3","9","2","4","8","5","6"],
["9","6","1","5","3","7","2","8","4"],
["2","8","7","4","1","9","6","3","5"],
["3","4","5","2","8","6","1","7","9"]]

解释:

输入的数独如上图所示,唯一有效的解决方案如下所示:

每日一练 — 2021.12.03

提示:

  • board.length == 9
  • board[i].length == 9
  • board[i][j] 是一位数字或者 ‘.’
  • 题目数据 保证 输入数独仅有一个解

2、程序代码

# -*- coding: utf-8 -*-
"""
Created on Fri Dec  3 15:33:29 2021
Function:
@author: 小梁aixj
"""
class Solution(object):
    def solveSudoku(self, board):
        def isvaild(i,j):
            for m in range(9):
                if m!=i and board[m][j]==board[i][j]:
                    return False
            for n in range(9):
                if n!=j and board[i][n]==board[i][j]:
                    return False
            for m in range(i//3*3,i//3*3+3):
                for n in range(j//3*3,j//3*3+3):
                    if m!=i and n!=j and board[m][n]==board[i][j]:
                        return False
            return True
        def f(a,b,board):
            for i in range(a,9):
                for j in range(b,9):
                    if board[i][j]=='.':
                        for c in '123456789':
                            board[i][j]=c
                            if isvaild(i,j):
                                if f(a,b,board):return True
                                else: board[i][j]='.'
                            else: board[i][j]='.'
                        return False
            return True
        f(0,0,board)
        return board
#%%
s=Solution()
board=[['5','3','.','.','7','.','.','.','.'],
       ['6','.','.','1','9','5','.','.','.'],
       ['.','9','8','.','.','.','.','.','.'],
       ['8','.','.','.','6','.','.','.','3'],
       ['4','.','.','8','.','3','.','.','1'],
       ['7','.','.','.','2','.','.','.','6'],
       ['.','6','.','.','.','.','2','8','.'],
       ['.','.','.','4','1','9','.','.','5'],
       ['.','.','.','.','8','.','.','7','9']]

print('按原样输出:')
print(s.solveSudoku(board))
print('格式化输出:')
#格式化输出
a=s.solveSudoku(board)
for x in range(9):
    for y in range(9):
        print(a[x][y], end="  ")
    print()

3、运行结果

每日一练 — 2021.12.03


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