# 11. Isomorphic Strings

The problem can be found at the following link: [Question Link](https://www.geeksforgeeks.org/problems/isomorphic-strings-1587115620/1)

![](https://badgen.net/badge/Level/Easy/green)

## My Approach

To determine if two strings are isomorphic,

* I create two maps, `mp1` and `mp2`, to store the mapping from characters in `str1` to `str2` and vice versa.
* I iterate through both strings simultaneously, updating the mappings.
* If at any point, the mapping doesn't hold, I return false.
* If the entire iteration completes without any mismatches, the strings are isomorphic.

## Time and Auxiliary Space Complexity

* **Time Complexity**: `O(N)`, where `N` is the length of the input strings.
* **Auxiliary Space Complexity**: `O(N)`, as we use two unordered maps.

## Code (C++)

```cpp
class Solution {
public:
    bool areIsomorphic(string str1, string str2) {
        if (str1.size() != str2.size())
            return false;

        unordered_map<char, char> mp1, mp2;
        for (int i = 0; i < str1.size(); i++) {
            mp1[str1[i]] = str2[i];
            mp2[str2[i]] = str1[i];
        }

        for (int i = 0; i < str1.size(); i++) {
            if ((mp1[str1[i]] != str2[i]) || (mp2[str2[i]] != str1[i]))
                return false;
        }
        return true;
    }
};
```

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