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45 changes: 45 additions & 0 deletions sorting_searching/jump_search.py
Original file line number Diff line number Diff line change
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import math

def jumpSearch( arr , x , n ):

# Finding block size to be jumped
step = math.sqrt(n)

# Finding the block where element is
# present (if it is present)
prev = 0
while arr[int(min(step, n)-1)] < x:
prev = step
step += math.sqrt(n)
if prev >= n:
return -1

# Doing a linear search for x in
# block beginning with prev.
while arr[int(prev)] < x:
prev += 1

# If we reached next block or end
# of array, element is not present.
if prev == min(step, n):
return -1

# If element is found
if arr[int(prev)] == x:
return prev

return -1

# Driver code to test function
arr = [ 0, 1, 1, 2, 3, 5, 8, 13, 21,
34, 55, 89, 144, 233, 377, 610 ]
x = 55
n = len(arr)

# Find the index of 'x' using Jump Search
index = jumpSearch(arr, x, n)

# Print the index where 'x' is located
print("Number" , x, "is at index" ,"%.0f"%index)

# This code is contributed by "Sharad_Bhardwaj".