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Computer Science Introduction to Data Structures Exploring Arrays Accessing a Value in an Array

Eva Feng
Eva Feng
1,468 Points

Recursive Binary Search Python

Hi can someone tell me what is wrong with my code? It returns false, false as opposed to false, true

I know the problem is under the 3rd "else", problem is solved when I change the following

return recursive_binary_search(list[:midpoint-1], target)

into this line

return recursive_binary_search(list[:midpoint], target)

However i don't understand why the list cant start from 0 all the way to midpoint - 1

Thanks in advance

def recursive_binary_search(list, target): if len(list) == 0: return False
else: midpoint = (len(list))//2

if list[midpoint] == target:
  return True
else:
  if list[midpoint] < target:
    return recursive_binary_search(list[midpoint+1:], target)
  else:
    return recursive_binary_search(list[:midpoint-1], target)

def verify(result): print("Target found: ", result)

numbers = [1,2,3,4,5,6,7,8] result = recursive_binary_search(numbers, 12) verify(result)

result = recursive_binary_search(numbers, 6) verify(result)

1 Answer

Steven Parker
Steven Parker
243,200 Points

Remember that in Python, the stop index of a slice is where the slice ends, but the slice will not include the value at the index itself. So a slice made using :midpoint will contain elements up to but not including the midpoint.

If you slice using :midpoint-1 instead, that slice will also discard the item directly before the midpoint, which (depending on the order of the data items) might just be exactly the item you are looking for.