I am understanding number sets problem in 2008's 1B
http://code.google.com/codejam/contest/dashboard?c=32017#s=p1

<http://code.google.com/codejam/contest/dashboard?c=32017#s=p1>The sample
input and output given are -
Input

Output
 2
10 20 5
10 20 3

Case #1: 9
Case #2: 7




Now for case 2 - 10 20 3 output is given as 7. Can some one explain how is
it? I am getting it as 8.

My explanation. I am not showing prime factor 1 cause the min number is 3
anyways.

10 - 2*5
11 - 11
12 - 2*2*3
13 - 13
14 - 2*7
15 - 3*5
16 - 2*2*2*2
17 - 17
18 - 2*3*3
19 - 19
20 - 2*2*5

Set 1 - 10, 15, 20
Set 2  - 12, 18
Set 3-8 - 11, 13, 14, 16, 17,19

So shouldn't the output be 8? What am I missing here?

-- 
Satyajit

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