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Add doctests
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* Replacing the generator with numpy vector operations from lu_decomposition.
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* Replacing the generator with numpy vector operations from lu_decomposition.
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This reverts commit ad217c6616.
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* Replacing the generator with numpy vector operations from lu_decomposition.
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* Conolidated two scripts reverse_letters.py and reverse_long_words.py into one because of similar functionality
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* In place of calculating the factorial several times we can run a loop k times to calculate the combination
for example:
5 C 3 = 5! / (3! * (5-3)! )
= (5*4*3*2*1)/[(3*2*1)*(2*1)]
=(5*4*3)/(3*2*1)
so running a loop k times will reduce the time complexity to O(k)
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* tuple[int, ...]
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* Replacing the generator with numpy vector operations from lu_decomposition.
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* ValueError: Number 22.2 must instead be a positive integer
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