Watson likes to challenge Sherlock's math ability. He will provide a starting and ending value that describe a range of integers, inclusive of the endpoints. Sherlock must determine the number of square integers within that range.

Note: A square integer is an integer which is the square of an integer, e.g. .

Example

There are three square integers in the range: and . Return .

Function Description

Complete the squares function in the editor below. It should return an integer representing the number of square integers in the inclusive range from to .

squares has the following parameter(s):

• int a: the lower range boundary
• int b: the upper range boundary

Returns

• int: the number of square integers in the range