# Python: Check if two given strings are isomorphic to each other or not

## Python Basic - 1: Exercise-69 with Solution

In abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in a way that respects the given group operations. If there exists an isomorphism between two groups, then the groups are called isomorphic.

Two strings are isomorphic if the characters in string A can be replaced to get string B

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

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

Write a Python program to check if two given strings are isomorphic to each other or not.

**Sample Solution**:

**Python Code:**

```
def isIsomorphic(str1, str2):
dict_str1 = {}
dict_str2 = {}
for i, value in enumerate(str1):
dict_str1[value] = dict_str1.get(value, []) + [i]
for j, value in enumerate(str2):
dict_str2[value] = dict_str2.get(value, []) + [j]
if sorted(dict_str1.values()) == sorted(dict_str2.values()):
return True
else:
return False
print(isIsomorphic("foo", "bar"));
print(isIsomorphic("bar", "foo"));
print(isIsomorphic("paper", "title"));
print(isIsomorphic("title", "paper"));
print(isIsomorphic("apple", "orange"));
print(isIsomorphic("aa", "ab"));
print(isIsomorphic("ab", "aa"));
```

Sample Output:

False False True True False False False

**Pictorial Presentation:**

**Flowchart:**

**Python Code Editor:**

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