Question

Given two strings s and t, determine if they are isomorphic.

Two strings are isomorphic if the characters in s can be replaced to get t.

All occurrences of a character must be replaced with another character while preserving the order of characters. No two characters may map to the same character but a character may map to itself.

For example,
Given ​​​"egg"​​​, ​​"add"​​, return true.

Given ​​"foo"​​​, ​​"bar"​​, return false.

Given ​​"paper"​​​, ​​"title"​​, return true.

Note:
You may assume both s and t have the same length.


本题难度Easy。

哈希法

复杂度

时间 O(N) 空间 O(N)

思路

用一个哈希表记录字符串s中字母到字符串t中字母的映射关系,一个集合记录已经映射过的字母(或者用两个哈希表记录双向的映射关系)这里不能只用一个哈希表,因为要排除egg->ddd这种多对一的映射。

代码

public class Solution {
public boolean isIsomorphic(String s, String t) {
//require
Set<Character> set=new HashSet<>();
Map<Character,Character> map=new HashMap<>();
char[] schars=s.toCharArray(),tchars=t.toCharArray();
//invariant
for(int i=0;i<s.length();i++){
char sc=schars[i],tc=tchars[i];
if(map.containsKey(sc)){
// 如果已经给s中的字符建立了映射,检查该映射是否和当前t中字符相同
if(map.get(sc)!=tc)return false;
}else{
// 如果已经给t中的字符建立了映射,就返回假,因为出现了多对一映射
if(set.contains(tc))return false;
else{
map.put(sc,tc);
set.add(tc);
}
}
}
//ensure
return true;
}
}

参考

​​[Leetcode] Isomorphic Strings 同构字符串​​