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import math | ||
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def jump_search(arr,target): | ||
"""Jump Search | ||
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 | ||
""" | ||
n = len(arr) | ||
block_size = int(math.sqrt(n)) | ||
block_prev = 0 | ||
block= block_size | ||
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# return -1 means that array doesn't contain taget value | ||
# find block that contains target value | ||
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if arr[n - 1] < target: | ||
return -1 | ||
while block <= n and arr[block - 1] < target: | ||
block_prev = block | ||
block += block_size | ||
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# find target value in block | ||
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while arr[block_prev] < target : | ||
block_prev += 1 | ||
if block_prev == min(block, n) : | ||
return -1 | ||
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# if there is target value in array, return it | ||
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if arr[block_prev] == target : | ||
return block_prev | ||
else : | ||
return -1 |
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