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61 changes: 61 additions & 0 deletions BinarySearch.swift
Original file line number Diff line number Diff line change
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//
// Untitled.swift
// DSA-Practice
//
// Created by Paridhi Malviya on 12/17/25.
//

/*
prerequisites - the array must be sorted.
2 approaches - iterative bonary search algorithm, recursive binary search algorithm
complexity to search for an element - O(log n)
*/

class BinarySearch {

init() {
let sortedArray = [2, 5, 8, 12, 16, 23, 38, 56, 71, 91]
let targetValue = 23
if let index = binarySearch(for: targetValue, in: sortedArray) {
print("element \(targetValue) found at index \(index)")
} else {
print("Element \(targetValue) not found in the array")
}
}

func binarySearch(for target: Int, in array: [Int]) -> Int? {
var left = 0
var right = array.count - 1
while left <= right {
let middle = (left + right) / 2
let value = array[middle]
if value == target {
return middle //target found, return it's index
} else if value < target {
left = middle + 1 //target is in the right half
} else {
right = middle - 1 //target is in the left half
}
}
return -1 //Target not found
}

func recursiveBinarySearch(for target: Int, in array: [Int], left: Int = 0, right: Int?) -> Int? {

let right = right ?? array.count - 1

guard left < right else {
return nil
}

let middle = (left + right) / 2
let value = array[middle]
if target == value {
return middle
} else if value < target {
return recursiveBinarySearch(for: target, in: array, left: middle + 1, right: right)
} else {
return recursiveBinarySearch(for: target, in: array, left: left, right: middle - 1)
}
}
}
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50 changes: 0 additions & 50 deletions Exercise_3.cpp

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