Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Find an element in a sorted array.
"""

import math

def jump_search(arr,target):
"""
Worst-case Complexity: O(√n) (root(n))
All items in list must be sorted like binary search
Find block that contains target value and search it linearly in that block
It returns a first target value in array
reference: https://en.wikipedia.org/wiki/Jump_search
"""

length = len(arr)
block_size = int(math.sqrt(length))
block_prev = 0
block= block_size

# return -1 means that array doesn't contain target value
# find block that contains target value

if arr[length - 1] < target:
return -1
while block <= length and arr[block - 1] < target:
block_prev = block
block += block_size

# find target value in block

while arr[block_prev] < target :
block_prev += 1
if block_prev == min(block, length) :
return -1.

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