from sets import Set

class Solution(object):

def isIsomorphic(self, s, t):

"""

:type s: str

:type t: str

:rtype: bool

"""

```
# convert the string (list domain) into a char map (dict domain) that records the indices of each character
sDict={}
for i,x in enumerate(s):
if x in sDict:
sDict[x].append(i)
else:
sDict[x]=[i]
tDict={}
for i,x in enumerate(t):
if x in tDict:
tDict[x].append(i)
else:
tDict[x]=[i]>! Spoiler
# convert the char map into a char set (therefore the order will not be considered) for comparison
sSet=Set([tuple(x[1]) for x in sDict.items()])
tSet=Set([tuple(x[1]) for x in tDict.items()])
# compare the two set
return sSet==tSet
```