17. Letter Combinations of a Phone Number

本文介绍了一个经典的编程问题——电话号码的字母组合。给定一个数字字符串,返回所有可能的字母组合,这些组合由电话键盘上的数字映射而来。通过递归算法解决该问题,并提供了一段C++代码实现。

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题目:

Given a digit string, 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.

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

枚举递归

class Solution {
public:
    map<int,string> m={{2,"abc"},{3,"def"},{4,"ghi"},{5,"jkl"},{6,"mno"},{7,"pqrs"},{8,"tuv"},{9,"wxyz"}};
    vector<string> letterCombinations(string digits) {
         vector<string> res;
        string temp;
        if(digits.empty())          
            return res;    
        solve(digits,0,res,temp);
        return res;
    }
    
    void solve(string digits,int index,vector<string> &res,string temp){
        if(index==digits.size())
            res.push_back(temp);
        int i=digits[index]-'0';
        for(int j=0;j<m[i].size();j++){
            solve(digits,index+1,res,temp+m[i][j]);
        }
    }
};


(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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