Find the number of ordered positive pairs such that the equation has integral roots and lies between and both inclusive.
Input format
Output format
For each test case, print a single integer denoting the number of ordered positive pairs possible. The output for each test case must be printed in a separate line.
Constraints
The valid pairs corresponding to the first test case is: (1, 1), (2, 3), (2, 4), (3, 5).
The valid pairs corresponding to the second test case is: (2, 3), (2, 4), (3, 5), (4, 7), (3, 8), (3, 9), (5, 9).