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Wavelet tree (#4267)
* Added the matrix_exponentiation.py file in maths directory * Implemented the requested changes * Update matrix_exponentiation.py * resolve merge conflict with upstream branch * add new line at end of file * add wavelet_tree * fix isort issue * updating DIRECTORY.md * fix variable names in wavelet_tree and correct typo * Add type hints and variable renaming * Update data_structures/binary_tree/wavelet_tree.py Add doctests to placate the algorithm-bot, thanks to @cclauss. Co-authored-by: Christian Clauss <cclauss@me.com> * Move doctest to individual functions and reformat code * Move common test array to the global scope and reuse in tests * MMove test array to global scope and minor linting changes * Correct the failing pytest tests * MUse built-in list for type annotation * Update wavelet_tree.py * types-requests * updating DIRECTORY.md * Update wavelet_tree.py * # type: ignore * # type: ignore * Update decrypt_caesar_with_chi_squared.py * , * Update decrypt_caesar_with_chi_squared.py Co-authored-by: Christian Clauss <cclauss@me.com> Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Co-authored-by: Aniruddha Bhattacharjee <aniruddha@Aniruddhas-MacBook-Air.local>
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@ -222,9 +222,10 @@ def decrypt_caesar_with_chi_squared(
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# Get the most likely cipher by finding the cipher with the smallest chi squared
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# statistic
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most_likely_cipher: int = min(
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chi_squared_statistic_values, key=chi_squared_statistic_values.get
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) # type: ignore # First argument to `min` is not optional
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most_likely_cipher: int = min( # type: ignore
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chi_squared_statistic_values, # type: ignore
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key=chi_squared_statistic_values.get, # type: ignore
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) # type: ignore
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# Get all the data from the most likely cipher (key, decoded message)
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(
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