python binary search
def binary_search(arr, item):
first = 0
last = len(arr) - 1
while(first <= last):
mid = (first + last) // 2
if arr[mid] == item :
return True
elif item < arr[mid]:
last = mid - 1
else:
first = mid + 1
return Falsebinary search python
# This is real binary search
# this algorithm works very good because it is recursive
def binarySearch(arr, min, max, x):
if max >= min:
i = int(min + (max - min) / 2) # average
if arr[i] == x:
return i
elif arr[i] < x:
return binarySearch(arr, i + 1, max, x)
else:
return binarySearch(arr, min, i - 1, x)binary search in python
def binary_search_recursive(list_of_numbers, number, start=0, end=None):
# The end of our search is initialized to None. First we set the end to the length of the sequence.
if end is None:
end = len(list_of_numbers) - 1
if start > end:
# This will happen if the list is empty of the number is not found in the list.
raise ValueError('Number not in list')
mid = (start + end) // 2 # This is the mid value of our binary search.
if number == list_of_numbers[mid]:
# We have found the number in our list. Let's return the index.
return mid
if number < list_of_numbers[mid]:
# Number lies in the lower half. So we call the function again changing the end value to 'mid - 1' Here we are entering the recursive mode.
return binary_search_recursive(list_of_numbers, number, start, mid - 1)
# number > list_of_numbers[mid]
# Number lies in the upper half. So we call the function again changing the start value to 'mid + 1' Here we are entering the recursive mode.
return binary_search_recursive(list_of_numbers, number, mid + 1, end)binary search python
# Iterative Binary Search Function
# It returns index of x in given array arr if present,
# else returns -1
def binary_search(arr, x):
low = 0
high = len(arr) - 1
mid = 0
while low <= high:
mid = (high + low) // 2
# If x is greater, ignore left half
if arr[mid] < x:
low = mid + 1
# If x is smaller, ignore right half
elif arr[mid] > x:
high = mid - 1
# means x is present at mid
else:
return mid
# If we reach here, then the element was not present
return -1
# Test array
arr = [ 2, 3, 4, 10, 40 ]
x = 10
# Function call
result = binary_search(arr, x)
if result != -1:
print("Element is present at index", str(result))
else:
print("Element is not present in array")Copyright © 2021 Codeinu
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