Hackerrank - Sherlock and Squares Solution

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

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

For example, the range is  and , inclusive. There are three square integers in the range:  and .

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):

• a: an integer, the lower range boundary
• b: an integer, the uppere range boundary

Input Format

The first line contains , the number of test cases.
Each of the next  lines contains two space-separated integers denoting  and , the starting and ending integers in the ranges.

Constraints

Output Format

For each test case, print the number of square integers in the range on a new line.

Sample Input

2
3 9
17 24


Sample Output

2
0


Explanation

Test Case #00: In range ,  and  are the two square integers.
Test Case #01: In range , there are no square integers.

### Solution in Python

from math import sqrt

def squares(a, b):
c = int(sqrt(b))-int(sqrt(a))
return c+1 if int(sqrt(a))**2==a else c

for _ in range(int(input())):
a,b = map(int,input().split())
print(squares(a, b))