{{},{},{},{}}
{{},{},{},{1}}
{{},{},{},{1,2}}
{{},{},{},{1,2,3}}
{{},{},{1},{1}}
{{},{},{1},{2}}
{{},{},{1},{3}}
{{},{},{1},{1,2}}
{{},{},{1},{2,3}}
{{},{},{1,2},{3}}
{{},{},{1,2},{1,2}}
{{},{1},{1},{1}}
{{},{1},{1},{2}}
{{},{1},{1},{2,3}}
{{},{1},{2},{2}}
{{},{1},{2},{3}}