Binary search is a quick search algorithm with an O run-time complexity (log n). This search algorithm operates on the divide and conquers principle. The data collection should be sorted for this algorithm to perform properly.
Binary search looks for a certain item by comparing the collection’s middlemost item. If a match is found, the item’s index is returned. If the item is greater than the middle item, the item is looked for in the sub-array to the left of the middle item. Otherwise, the item is sought in the sub-array to the right of the center item. This method is repeated on the sub-array until the size of the sub-array is reduced to zero.
Pseudocode
The pseudocode of binary search algorithms should look like this −
Procedure binary_search
A ← sorted array
n ← size of array
x ← value to be searched
Set lowerBound = 1
Set upperBound = n
while x not found
if upperBound < lowerBound
EXIT: x does not exists.
set midPoint = lowerBound + ( upperBound - lowerBound ) / 2
if A[midPoint] < x
set lowerBound = midPoint + 1
if A[midPoint] > x
set upperBound = midPoint - 1
if A[midPoint] = x
EXIT: x found at location midPoint
end while
end procedure
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