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Recall the binary search algorithm.1. Using the algorithm/algorithmic environment, give pseudocode using a for loop. AnswerMy algorithm for binary search using a for loop is given in Algorithm 1.Algorithm 1BinarySearchFor(A)[[XXX TODO:pseudocode here]]2. Using the algorithm/algorithmic environment, give pseudocode using a while loop. Answer[[XXX TODO:your answer here]]3. Using the algorithm/algorithmic environment, give pseudocode using recursion. Answer[[XXX TODO:your answer here]]4. What is the loop invariant of your second algorithm

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