Problems
Letter of postman Pechkin
Letter of postman Pechkin
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\textit{Dear children!}
\textit{Watching the dog (Cartoon character) sawn custom chess board, I also decided to give you a puzzle: How many different squares and rectangulars (not counting the square ones) boards could be obtained by the dog from a s non-standard rectangular chessboard of size }\textbf{M}x\textbf{N}\textit{?”}
\InputFile
In the first line number of postman Pechkin tasks \textbf{K}, in the subsequent rows \textbf{K} of two integers \textbf{M} and \textbf{N} (\textbf{1} ≤ \textbf{K},\textbf{ M},\textbf{ N }≤ \textbf{100}), separated by a space.
\OutputFile
For each example, given Pechkin, display in a separate line in the desired amount of space at first square, then rectangular boards.
Input example #1
1 3 2
Output example #1
8 10
Example description: The Dog could get square boards: 6 with the side 1 and two with a side of 2 - total 8, rectangular: 4 boards 2x1, 3 boards 1x2, 2 boards 3x1 and one primary board 3x2 - only 10.