409599: GYM103643 B Operations

Bossologist is brushing up on his arithmetic skills, and has found an interesting way to practice by doing $$$P$$$ ($$$1 \leq P \leq 10^5$$$) problems of a certain format. For the $$$p$$$th problem, he first picks two numbers $$$A_p$$$ and $$$B_p$$$. He will then use the four operations $$$+, -, *, \div$$$ to combine $$$A_p$$$ and $$$B_p$$$ in any way (i.e. Bossologist finds $$$A_p+B_p$$$, $$$A_p-B_p$$$, $$$B_p+A_p$$$, etc.). For each of $$$P$$$ problems determine the number of distinct answers Bossologist gets.

The first line of input will be $$$P$$$.

The next $$$P$$$ lines will each contain the two numbers $$$A_p$$$ and $$$B_p$$$ ($$$1 \leq A_p, B_p \leq 10^4$$$) he picks for the $$$p$$$th problem.

Note that test case $$$0$$$ is the sample case, which is not worth any points.

Output $$$P$$$ lines where the $$$p$$$th line gives the number of distinct answers Bossologist gets for problem $$$p$$$.

4
2 19
3 5
4 3
6 6

6
6
6
4

For the first problem, the possible answers are $$$2 + 19 = 21$$$, $$$2 - 19 = -17$$$, $$$19 - 2 = 17$$$, $$$19 \cdot 2 = 38$$$, $$$19 \div 2 = 9.5$$$, and $$$2 \div 19 \approx 0.105$$$, for a total of $$$6$$$ distinct answers.

$$$---------------------------------------------$$$

Problem Idea: Bossologist

Problem Preparation: Bossolgist

Occurrences: Novice 2