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

\(1 \le T \le 50\)
\(1 \le N \le 5*10^4\)

\(1 \le a,b \le 20\)