Boyer Moore Majority Vote Algorithm

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Boyer Moore majority voting algorithm is a popular algorithm for calculating the majority element inside of an array. Finding the majority element in an array can be done in several different ways, but the most efficient way is to use the Boyer-Moore algorithm.

With this algorithm, we initialize two variables candidate and count. Our candidate is responsible for keeping track of the max element we have seen so far. Count is the number of times we have seen the candidate as we iterate over the array. By the end of looping, whatever is assigned to our candidate variable will be the majority element.

This algorithm allows us to solve the problem in linear time and constant space where N is the number of elements we have in our array. Since we only touch each index in our array a single time, the algorithm will always run in big O(N).

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