Counting Is Difficult III

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EWU Individual Programmin...

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East West University is organizing a programming contest today and the grumpy, angry moderator of the programming club is in action again.
This year, the contest is individual and divided into two categories - Senior and Junior. However, the moderator wants to know how many teams of exactly three participants can be formed by considering both seniors and juniors. Teams will not have any mixing of junior and senior category participants.

Can you help the moderator?

Input

The first line will contain an integer T, representing the number of test cases.
On each of the following T lines, you will take two integers x and y as input, where x and y represent the number of participants in the junior and senior category, respectively.

1 ≤ T ≤ 100
0 ≤ x, y ≤ 106

Output

For each x and y, you have to print the total number of teams that can be formed as formatted below.

Sample

Input	Output
2 3 3 3 4	Case 1: 2 Case 2: 5

Factors

	CPU	Memory	Source
Bash 5.2	1×	1×	1×
Brainf*ck	1×	1×	1×
C# Mono 6.0	1×	1×	1×
C++17 GCC 13.2	1×	1×	1×
C++20 Clang 16.0	1×	1×	1×
C++20 GCC 13.2	1×	1×	1×
C++23 GCC 13.2	1×	1×	1×
C11 GCC 13.2	1×	1×	1×
C17 GCC 13.2	1×	1×	1×
C23 GCC 13.2	1×	1×	1×
Common Lisp SBCL 2.0	1×	1×	1×
D8 11.8	1×	1×	1×
Erlang 22.3	1×	1×	1×
Free Pascal 3.0	1×	1×	1×
Go 1.22	1×	1×	1×
Grep 3.7	1×	1×	1×
Haskell 8.6	1×	1×	1×
Java 1.8	1×	1×	1×
Kotlin 1.1	1×	1×	1×
Lua 5.4	1×	1×	1×
Node.js 10.16	1×	1×	1×
Perl 5.30	1×	1×	1×
PHP 8.3	1×	1×	1×
PyPy 7.1 (3.6)	1×	1×	1×
Python 3.12	1×	1×	1×
Ruby 3.2	1×	1×	1×
Rust 1.57	1×	1×	1×
Swift 5.3	1×	1×	1×
Whitespace	1×	1×	1×

uDebug

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Statistics

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