All solutions for n=3
...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.2...1.1.1...1.1.1
...1.1.2...1.1.2...1.2.1...1.2.1...1.2.1...1.2.2...1.2.2...2.1.1...2.1.1
...1.2.2...2.2.2...1.2.2...2.2.1...2.2.2...2.2.2...2.2.2...2.2.1...2.2.2
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...1.1.1...1.1.1...1.1.2...2.1.1...2.1.1
...2.1.2...2.2.1...2.1.2...2.1.2...2.2.1
...2.2.2...2.2.2...2.2.2...2.2.2...2.2.2
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