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Algorithms Explained: Binary Search

  • Binary Search is a more efficient way to search for an element in a sorted array compared to Linear Search.
  • In Binary Search, the search space is reduced by half with each iteration, based on whether the element is greater or smaller than the middle element.
  • This algorithm is powerful due to the simplicity and elegance of dividing the search space efficiently.
  • Binary Search's iterative method involves setting low and high variables, then calculating the middle index to determine the search.
  • Three main conditions in Binary Search are checking the middle index, adjusting low and high based on element comparison, and reaching the 'base case.'
  • If the element is not found in the array, Binary Search returns -1.
  • The recursive method for Binary Search follows a similar logic as the iterative method but employs a more concise approach.
  • Setting low and high as parameters in the function call and making recursive calls based on element comparison simplifies the implementation.
  • The iterative method uses a while loop, while the recursive method eliminates the need for a loop by making function calls until the base case is met.
  • Understanding Binary Search and its efficient searching process is crucial for handling large datasets and optimizing search operations.

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