Find the number of ordered positive pairs $$(B, C)$$ such that the equation $$ x^2 - 2Bx + C = 0$$ has integral roots and $$C$$ lies between $$L$$ and $$R$$ both inclusive.

Input format

• The first line contains a single integer $$T$$ denoting the number of test cases.
• The first line of each test case contains two space-separated integers $$L$$ and $$R$$ denoting the range of $$C$$.

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

$$1 \leq T \leq 10$$

$$1 \leq L, R \leq 10^{12}$$