diff --git a/Search/BinarySearch.js b/Search/BinarySearch.js index 3a150d638..344b5d355 100644 --- a/Search/BinarySearch.js +++ b/Search/BinarySearch.js @@ -7,7 +7,7 @@ * value is found or the interval is empty. */ -function binarySearch (arr, x, low = 0, high = arr.length - 1) { +function binarySearchRecursive (arr, x, low = 0, high = arr.length - 1) { const mid = Math.floor(low + (high - low) / 2) if (high >= low) { @@ -18,10 +18,10 @@ function binarySearch (arr, x, low = 0, high = arr.length - 1) { if (x < arr[mid]) { // arr[mid] is an upper bound for x, so if x is in arr => low <= x < mid - return binarySearch(arr, x, low, mid - 1) + return binarySearchRecursive(arr, x, low, mid - 1) } else { // arr[mid] is a lower bound for x, so if x is in arr => mid < x <= high - return binarySearch(arr, x, mid + 1, high) + return binarySearchRecursive(arr, x, mid + 1, high) } } else { // if low > high => we have searched the whole array without finding the item @@ -29,6 +29,29 @@ function binarySearch (arr, x, low = 0, high = arr.length - 1) { } } +function binarySearchIterative (arr, x, low = 0, high = arr.length - 1) { + + while (high >= low) { + const mid = Math.floor(low + (high - low) / 2) + + if (arr[mid] === x) { + // item found => return its index + return mid + } + + if (x < arr[mid]) { + // arr[mid] is an upper bound for x, so if x is in arr => low <= x < mid + high = mid - 1 + } else { + // arr[mid] is a lower bound for x, so if x is in arr => mid < x <= high + low = mid + 1 + } + } + // if low > high => we have searched the whole array without finding the item + return -1 +} + + /* ---------------------------------- Test ---------------------------------- */ const arr = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] @@ -61,10 +84,10 @@ const stringArr = [ 'Zulu' ] -console.log(binarySearch(arr, 3)) -console.log(binarySearch(arr, 7)) -console.log(binarySearch(arr, 13)) +console.log(binarySearchRecursive(arr, 3)) +console.log(binarySearchIterative(arr, 7)) +console.log(binarySearchRecursive(arr, 13)) -console.log(binarySearch(stringArr, 'Charlie')) -console.log(binarySearch(stringArr, 'Zulu')) -console.log(binarySearch(stringArr, 'Sierra')) +console.log(binarySearchIterative(stringArr, 'Charlie')) +console.log(binarySearchRecursive(stringArr, 'Zulu')) +console.log(binarySearchIterative(stringArr, 'Sierra'))