A question paper contains $N$ questions. The marks assigned to each correct answer is $a$. For each incorrect answer, you will lose $b$ marks. Find the number of different marks that can be obtained in the examination.

Note: An unattempted question is awarded $0$ marks.

Input format

• First line: $T$ denoting the number of test cases
• Each of the next $T$ lines: Three space-separated integers $N$, $a$ , and $b$

Output format

• Print the answer to each test case in a different line. (The number of different marks that one can score in an examination).

Constraints

$1 \le T \le 50$
$1 \le N \le 5*10^4$

$1 \le a,b \le 20$