17. Letter Combinations of a Phone Number

本文介绍了一个经典的编程问题:给定一个包含2到9的数字字符串,返回所有可能的字母组合。文章提供了一种递归解决方案,并附带了Python代码实现。

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https://leetcode.com/problems/letter-combinations-of-a-phone-number/description/

Given a string containing digits from 2-9 inclusive, return all possible letter combinations that the number could represent.

A mapping of digit to letters (just like on the telephone buttons) is given below. Note that 1 does not map to any letters.

Input: "23"
Output: ["ad", "ae", "af", "bd", "be", "bf", "cd", "ce", "cf"].

Note:

Although the above answer is in lexicographical order, your answer could be in any order you want.

Recursive solution is shown below.

class Solution(object):
    def letterCombinations(self, digits):
        """
        :type digits: str
        :rtype: List[str]
        """
        dict = {'2': 'abc', '3': 'def', '4': 'ghi', '5': 'jkl', '6': 'mno', '7': 'pqrs', '8': 'tuv', '9': 'wxyz'}
        if len(digits) == 0:
            return []
        if len(digits) == 1:
            return [char for char in dict[digits]]
        else:
            letters = []
            for i in self.letterCombinations(digits[: -1]):
                for j in dict[digits[-1]]:
                    letters.append(i + j)
            return letters

一、综合实战—使用极轴追踪方式绘制信号灯 实战目标:利用对象捕捉追踪和极轴追踪功能创建信号灯图形 技术要点:结合两种追踪方式实现精确绘图,适用于工程制图中需要精确定位的场景 1. 切换至AutoCAD 操作步骤: 启动AutoCAD 2016软件 打开随书光盘中的素材文件 确认工作空间为"草图与注释"模式 2. 绘图设置 1)草图设置对话框 打开方式:通过"工具→绘图设置"菜单命令 功能定位:该对话框包含捕捉、追踪等核心绘图辅助功能设置 2)对象捕捉设置 关键配置: 启用对象捕捉(F3快捷键) 启用对象捕捉追踪(F11快捷键) 勾选端点、中心、圆心、象限点等常用捕捉模式 追踪原理:命令执行时悬停光标可显示追踪矢量,再次悬停可停止追踪 3)极轴追踪设置 参数设置: 启用极轴追踪功能 设置角度增量为45度 确认后退出对话框 3. 绘制信号灯 1)绘制圆形 执行命令:"绘图→圆→圆心、半径"命令 绘制过程: 使用对象捕捉追踪定位矩形中心作为圆心 输入半径值30并按Enter确认 通过象限点捕捉确保圆形位置准确 2)绘制直线 操作要点: 选择"绘图→直线"命令 捕捉矩形上边中点作为起点 捕捉圆的上象限点作为终点 按Enter结束当前直线命令 重复技巧: 按Enter可重复最近使用的直线命令 通过圆心捕捉和极轴追踪绘制放射状直线 最终形成完整的信号灯指示图案 3)完成绘制 验证要点: 检查所有直线是否准确连接圆心和象限点 确认极轴追踪的45度增量是否体现 保存绘图文件(快捷键Ctrl+S)
(Telephone Number Word Generator) Standard telephone keypads contain the digits 0 through 9. The numbers 2 through 9 each have three letters associated with them, as is indicated by the following table: Many people find it difficult to memorize phone numbers, so they use the correspondence between digits and letters to develop seven-letter words that correspond to their phone numbers. For example, a person whose telephone number is 686-2377 might use the correspondence indi- cated in the above table to develop the seven-letter word “NUMBERS.” Businesses frequently attempt to get telephone numbers that are easy for their clients to remember. If a business can advertise a simple word for its customers to dial, then no doubt the business will receive a few more calls. Each seven-letter word corresponds to exactly one seven-digit telephone number. The restaurant wishing to increase its take-home business could surely do so with the number 825-3688 (i.e., “TAKEOUT”). Each seven-digit phone number corresponds to many separate seven-letter words. Unfortunately, most of these represent unrecognizable juxtaposi- tions of letters. It’s possible, however, that the owner of a barber shop would be pleased to know that the shop’s telephone number, 424-7288, corresponds to “HAIRCUT.” A veterinarian with the phone number 738-2273 would be happy to know that the number corresponds to “PETCARE.” Write a program that, given a seven-digit number, writes to a file every possible seven-letter word corresponding to that number. There are 2187 (3 to the seventh power) such words. Avoid phone numbers with the digits 0 and 1.
06-09
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