CCO '03 P2 - Concentration Cards

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Points: 15
Time limit: 1.0s
Memory limit: 16M

Problem type
2003 Canadian Computing Competition, Stage 2

Stan has a deck of N Concentration Cards. He wants to lay the cards edge-to-edge to form a filled rectangle with minimal perimeter. Each card is a rectangle with dimensions W mm. by H mm.

Figure 1: Concentration
Figure 1: Concentration Cards

Input Specification

The first line of input contains C, the number of test cases. For each case there is an additional line containing N, W, H, each a positive integer not exceeding 1000.

Output Specification

Your program should produce one line of output per case, giving the minimal perimeter.

Sample Input

3 300 400
4 400 300
7 300 400

Sample Output



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