Letter Combinations of a Phone Number

本文介绍了一种使用深度优先搜索(DFS)算法解决电话号码对应字母组合问题的方法。通过递归调用,从电话按键映射中找出所有可能的字母组合。

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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.

Example:

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.

 

解法:

DFS,关键在于递归的写法。一开始没想明白,后来套用树的图就想通了。

public class Solution {
    
    
    
    public List<String> letterCombinations(String digits) {
        
        
        // 建立映射表
        String[] phone = {" ", " ", "abc", "def", "ghi", "jkl", "mno", "pqrs", "tuv", "wxyz"};
        List<String> res = new ArrayList<String>();
        if(digits.length()==0)return res;
        dfs(0,digits.length(),"",phone,digits,res);
        return res;
    }
    
    public void dfs(int x,int length,String str,String[] phone, String digits,List<String> res){
        
        if(x == length){
            //找到一个答案,返回
            res.add(str);
            return;
        }
        int d = digits.charAt(x)-'0';
        for(int i=0;i<phone[d].length();i++){
            
            dfs(x+1,length,str+phone[d].charAt(i),phone,digits,res);
            
        }
        
    }
    
}

 

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(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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