Naming a company leetcode 2306 python
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certainly! the problem "naming a company" from leetcode (problem 2306) involves generating a list of unique names for a company based on given constraints. here's a breakdown of how to approach this problem, along with a detailed solution in python.
problem statement
you are given a list of existing company names and a list of characters. your task is to find the number of unique company names that can be formed using the characters, ensuring that they do not match any names from the existing list.
constraints
1. the new company name must be formed using the characters provided.
2. the name must not be in the existing company names list.
3. names can be of varying lengths.
steps to solve
1. **generate all possible names**: use the characters provided to generate all possible combinations of names. this can be done using permutations of the characters.
2. **filter unique names**: ensure that the generated names are unique.
3. **check against existing names**: filter out any names that are already in the existing company names list.
4. **count valid names**: finally, count the number of valid names that can be used.
python code example
here's how you can implement the solution in python:
explanation of the code
1. **importing permutations**: we use `itertools.permutations` to generate all possible arrangements of the characters.
2. **creating a set for existing names**: this allows for o(1) average time complexity when checking if a name is already taken.
3. **generating names**: we generate permutations of varying lengths (from 1 to the number of characters) and concatenate them to form names.
4. **filtering unique names**: each generated name is checked against the existing set. if it’s not present, it is added to the `unique_names` set.
5. **counting unique names**: finally, we return the size of the `unique_names` set, which gives us the count of valid company names.
complexity analysis
**time complexity**: the time complexity is ...
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