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Identifier

Mp00332: Posets —Jordan block partition⟶ Integer partitions

Images

=>
            
              Cc0014;cc-rep-0Cc0002;cc-rep-1
            

            ([],1)=>[1]
([],2)=>[1,1]
([(0,1)],2)=>[2]
([],3)=>[1,1,1]
([(1,2)],3)=>[2,1]
([(0,1),(0,2)],3)=>[2,1]
([(0,2),(2,1)],3)=>[3]
([(0,2),(1,2)],3)=>[2,1]
([],4)=>[1,1,1,1]
([(2,3)],4)=>[2,1,1]
([(1,2),(1,3)],4)=>[2,1,1]
([(0,1),(0,2),(0,3)],4)=>[2,1,1]
([(0,2),(0,3),(3,1)],4)=>[3,1]
([(0,1),(0,2),(1,3),(2,3)],4)=>[3,1]
([(1,2),(2,3)],4)=>[3,1]
([(0,3),(3,1),(3,2)],4)=>[3,1]
([(1,3),(2,3)],4)=>[2,1,1]
([(0,3),(1,3),(3,2)],4)=>[3,1]
([(0,3),(1,3),(2,3)],4)=>[2,1,1]
([(0,3),(1,2)],4)=>[2,2]
([(0,3),(1,2),(1,3)],4)=>[2,2]
([(0,2),(0,3),(1,2),(1,3)],4)=>[2,1,1]
([(0,3),(2,1),(3,2)],4)=>[4]
([(0,3),(1,2),(2,3)],4)=>[3,1]
([],5)=>[1,1,1,1,1]
([(3,4)],5)=>[2,1,1,1]
([(2,3),(2,4)],5)=>[2,1,1,1]
([(1,2),(1,3),(1,4)],5)=>[2,1,1,1]
([(0,1),(0,2),(0,3),(0,4)],5)=>[2,1,1,1]
([(0,2),(0,3),(0,4),(4,1)],5)=>[3,1,1]
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>[3,1,1]
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>[3,1,1]
([(1,3),(1,4),(4,2)],5)=>[3,1,1]
([(0,3),(0,4),(4,1),(4,2)],5)=>[3,1,1]
([(1,2),(1,3),(2,4),(3,4)],5)=>[3,1,1]
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>[4,1]
([(0,3),(0,4),(3,2),(4,1)],5)=>[3,2]
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>[3,2]
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>[3,1,1]
([(2,3),(3,4)],5)=>[3,1,1]
([(1,4),(4,2),(4,3)],5)=>[3,1,1]
([(0,4),(4,1),(4,2),(4,3)],5)=>[3,1,1]
([(2,4),(3,4)],5)=>[2,1,1,1]
([(1,4),(2,4),(4,3)],5)=>[3,1,1]
([(0,4),(1,4),(4,2),(4,3)],5)=>[3,1,1]
([(1,4),(2,4),(3,4)],5)=>[2,1,1,1]
([(0,4),(1,4),(2,4),(4,3)],5)=>[3,1,1]
([(0,4),(1,4),(2,4),(3,4)],5)=>[2,1,1,1]
([(0,4),(1,4),(2,3)],5)=>[2,2,1]
([(0,4),(1,3),(2,3),(2,4)],5)=>[2,2,1]
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[2,2,1]
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[2,1,1,1]
([(0,4),(1,4),(2,3),(4,2)],5)=>[4,1]
([(0,4),(1,3),(2,3),(3,4)],5)=>[3,1,1]
([(0,4),(1,4),(2,3),(2,4)],5)=>[2,2,1]
([(0,4),(1,4),(2,3),(3,4)],5)=>[3,1,1]
([(1,4),(2,3)],5)=>[2,2,1]
([(1,4),(2,3),(2,4)],5)=>[2,2,1]
([(0,4),(1,2),(1,4),(2,3)],5)=>[3,2]
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>[3,2]
([(1,3),(1,4),(2,3),(2,4)],5)=>[2,1,1,1]
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>[3,1,1]
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>[3,1,1]
([(0,4),(1,2),(1,4),(4,3)],5)=>[3,2]
([(0,4),(1,2),(1,3)],5)=>[2,2,1]
([(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
([(0,2),(0,4),(3,1),(4,3)],5)=>[4,1]
([(0,4),(1,2),(1,3),(3,4)],5)=>[3,1,1]
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>[4,1]
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[3,1,1]
([(0,3),(0,4),(1,2),(1,4)],5)=>[2,2,1]
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>[2,2,1]
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>[2,1,1,1]
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>[3,2]
([(0,3),(1,2),(1,4),(3,4)],5)=>[3,2]
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>[3,1,1]
([(1,4),(3,2),(4,3)],5)=>[4,1]
([(0,3),(3,4),(4,1),(4,2)],5)=>[4,1]
([(1,4),(2,3),(3,4)],5)=>[3,1,1]
([(0,4),(1,2),(2,4),(4,3)],5)=>[4,1]
([(0,3),(1,4),(4,2)],5)=>[3,2]
([(0,4),(3,2),(4,1),(4,3)],5)=>[4,1]
([(0,4),(1,2),(2,3),(2,4)],5)=>[3,2]
([(0,4),(2,3),(3,1),(4,2)],5)=>[5]
([(0,3),(1,2),(2,4),(3,4)],5)=>[3,2]
([(0,4),(1,2),(2,3),(3,4)],5)=>[4,1]
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>[4,1]
([],6)=>[1,1,1,1,1,1]
([(4,5)],6)=>[2,1,1,1,1]
([(3,4),(3,5)],6)=>[2,1,1,1,1]
([(2,3),(2,4),(2,5)],6)=>[2,1,1,1,1]
([(1,2),(1,3),(1,4),(1,5)],6)=>[2,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>[2,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>[3,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
([(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>[3,1,1,1]
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>[4,1,1]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>[3,2,1]
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>[3,2,1]
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[3,1,1,1]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>[3,2,1]
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>[4,1,1]
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>[4,1,1]
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>[3,2,1]
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>[3,2,1]
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,1,1,1]
([(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
([(1,4),(1,5),(5,2),(5,3)],6)=>[3,1,1,1]
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>[3,1,1,1]
([(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>[4,1,1]
([(1,4),(1,5),(4,3),(5,2)],6)=>[3,2,1]
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,1,1,1]
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>[4,1,1]
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[4,1,1]
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>[4,2]
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>[3,2,1]
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>[3,2,1]
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>[3,2,1]
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>[3,2,1]
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[3,1,1,1]
([(3,4),(4,5)],6)=>[3,1,1,1]
([(2,3),(3,4),(3,5)],6)=>[3,1,1,1]
([(1,5),(5,2),(5,3),(5,4)],6)=>[3,1,1,1]
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>[3,1,1,1]
([(2,3),(3,5),(5,4)],6)=>[4,1,1]
([(1,4),(4,5),(5,2),(5,3)],6)=>[4,1,1]
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>[4,1,1]
([(3,5),(4,5)],6)=>[2,1,1,1,1]
([(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
([(1,5),(2,5),(5,3),(5,4)],6)=>[3,1,1,1]
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>[3,1,1,1]
([(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
([(1,5),(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>[3,1,1,1]
([(1,5),(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>[3,1,1,1]
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[2,1,1,1,1]
([(0,5),(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>[4,1,1]
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>[3,1,1,1]
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
([(1,5),(2,5),(3,4)],6)=>[2,2,1,1]
([(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>[3,2,1]
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>[3,2,1]
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>[3,2,1]
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,1,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[3,1,1,1]
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,2,1]
([(1,5),(2,5),(3,4),(5,3)],6)=>[4,1,1]
([(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>[4,1,1]
([(0,5),(1,5),(2,3),(5,4)],6)=>[3,2,1]
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>[4,1,1]
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>[3,2,1]
([(1,5),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>[3,2,1]
([(0,5),(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>[4,1,1]
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,1,1,1]
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>[4,1,1]
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>[4,1,1]
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>[4,2]
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>[4,1,1]
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(1,5),(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
([(0,5),(1,5),(2,3),(3,4)],6)=>[3,2,1]
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>[5,1]
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>[4,1,1]
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[4,1,1]
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>[4,1,1]
([(0,5),(1,5),(2,4),(3,4)],6)=>[2,2,1,1]
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[2,1,1,1,1]
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>[4,1,1]
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[3,1,1,1]
([(2,5),(3,4)],6)=>[2,2,1,1]
([(2,5),(3,4),(3,5)],6)=>[2,2,1,1]
([(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>[3,2,1]
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>[3,3]
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>[3,2,1]
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>[4,2]
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>[3,3]
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>[3,3]
([(2,4),(2,5),(3,4),(3,5)],6)=>[2,1,1,1,1]
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>[3,1,1,1]
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>[3,2,1]
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>[3,2,1]
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>[4,1,1]
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>[4,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>[4,1,1]
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,1,1,1]
([(1,5),(2,3),(2,5),(5,4)],6)=>[3,2,1]
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>[3,2,1]
([(1,5),(2,3),(2,4)],6)=>[2,2,1,1]
([(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>[3,2,1]
([(0,5),(1,2),(1,3),(1,4)],6)=>[2,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>[4,1,1]
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>[3,1,1,1]
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>[4,1,1]
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>[4,1,1]
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>[3,2,1]
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>[3,2,1]
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[3,1,1,1]
([(1,3),(1,5),(4,2),(5,4)],6)=>[4,1,1]
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>[4,1,1]
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>[4,2]
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>[4,2]
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>[4,2]
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>[4,2]
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>[4,2]
([(1,5),(2,3),(2,4),(4,5)],6)=>[3,1,1,1]
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>[4,1,1]
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,1,1]
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>[5,1]
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>[3,2,1]
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>[4,1,1]
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>[4,1,1]
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,2,1]
([(0,4),(1,3),(1,5),(5,2)],6)=>[3,2,1]
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>[4,1,1]
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>[3,2,1]
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>[5,1]
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[3,2,1]
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>[5,1]
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>[4,1,1]
([(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,1,1]
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>[3,2,1]
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,1,1,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>[3,1,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>[3,1,1,1]
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>[3,2,1]
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>[3,2,1]
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>[3,3]
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>[4,2]
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>[4,2]
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>[3,2,1]
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>[3,2,1]
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>[3,3]
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>[3,2,1]
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>[4,2]
([(0,4),(0,5),(1,2),(1,3)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>[3,2,1]
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>[2,2,1,1]
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,2,1,1]
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>[2,1,1,1,1]
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>[3,2,1]
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>[3,2,1]
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>[3,1,1,1]
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>[4,1,1]
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>[4,2]
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[3,1,1,1]
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>[3,3]
([(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>[4,2]
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,1,1,1]
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>[4,1,1]
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>[4,1,1]
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>[3,3]
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>[4,2]
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>[3,3]
([(0,5),(1,3),(1,4),(5,2)],6)=>[3,2,1]
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>[5,1]
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>[4,1,1]
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>[3,2,1]
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>[4,2]
([(2,5),(3,4),(4,5)],6)=>[3,1,1,1]
([(1,5),(2,3),(3,5),(5,4)],6)=>[4,1,1]
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>[4,1,1]
([(1,3),(2,4),(4,5)],6)=>[3,2,1]
([(1,5),(4,3),(5,2),(5,4)],6)=>[4,1,1]
([(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>[4,2]
([(0,4),(1,5),(5,2),(5,3)],6)=>[3,2,1]
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>[4,1,1]
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>[3,2,1]
([(1,5),(3,4),(4,2),(5,3)],6)=>[5,1]
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>[5,1]
([(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>[4,2]
([(0,5),(1,4),(4,2),(5,3)],6)=>[3,3]
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>[5,1]
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>[3,3]
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>[3,2,1]
([(1,5),(2,3),(3,4),(4,5)],6)=>[4,1,1]
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>[4,1,1]
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>[5,1]
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>[5,1]
([(0,5),(1,4),(2,3)],6)=>[2,2,2]
([(0,5),(1,3),(2,4),(2,5)],6)=>[2,2,2]
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>[2,2,2]
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>[4,2]
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>[4,2]
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[3,2,1]
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>[4,2]
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[3,2,1]
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>[4,2]
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>[3,2,1]
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>[2,2,2]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,1,1,1,1]
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>[3,2,1]
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[2,2,2]
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>[3,2,1]
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>[2,2,2]
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>[3,2,1]
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>[3,2,1]
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>[3,2,1]
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>[4,2]
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>[4,1,1]
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>[4,1,1]
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>[4,2]
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>[3,2,1]
([(0,5),(1,3),(4,2),(5,4)],6)=>[4,2]
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>[4,2]
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>[4,2]
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>[4,2]
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>[5,1]
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>[4,2]
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>[6]
([(0,5),(1,3),(2,4),(4,5)],6)=>[3,2,1]
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>[3,2,1]
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>[5,1]
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>[4,1,1]
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>[5,1]
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>[5,1]
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>[4,2]
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>[5,1]
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[3,2,1]
([],7)=>[1,1,1,1,1,1,1]
([(5,6)],7)=>[2,1,1,1,1,1]
([(4,5),(4,6)],7)=>[2,1,1,1,1,1]
([(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
([(2,3),(2,4),(2,5),(2,6)],7)=>[2,1,1,1,1,1]
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,1,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>[2,1,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>[3,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>[3,1,1,1,1]
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>[3,1,1,1,1]
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>[4,1,1,1]
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,1,1,1]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>[4,2,1]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>[4,2,1]
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>[4,2,1]
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>[5,1,1]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>[4,2,1]
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>[4,1,1,1]
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[4,2,1]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>[4,1,1,1]
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>[4,2,1]
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>[3,2,2]
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>[3,2,2]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>[3,2,2]
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>[3,2,2]
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>[3,2,2]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,2]
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[4,2,1]
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>[3,2,2]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
([(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
([(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
([(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>[4,1,1,1]
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>[5,1,1]
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>[4,2,1]
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>[4,2,1]
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[4,1,1,1]
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>[4,2,1]
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,2,1,1]
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>[4,2,1]
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>[3,2,1,1]
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>[4,1,1,1]
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,1,1,1]
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>[4,2,1]
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>[4,2,1]
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>[3,2,1,1]
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[3,1,1,1,1]
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>[5,1,1]
([(4,5),(5,6)],7)=>[3,1,1,1,1]
([(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(2,6),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(2,5),(5,6),(6,3),(6,4)],7)=>[4,1,1,1]
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>[4,1,1,1]
([(4,6),(5,6)],7)=>[2,1,1,1,1,1]
([(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
([(2,6),(3,6),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
([(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[2,1,1,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>[5,1,1]
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[5,1,1]
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,1,1,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(2,6),(3,6),(4,5)],7)=>[2,2,1,1,1]
([(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>[3,3,1]
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,2,1,1]
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>[3,3,1]
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,1,1,1,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>[4,2,1]
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>[2,2,2,1]
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(2,6),(3,6),(4,5),(6,4)],7)=>[4,1,1,1]
([(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>[4,1,1,1]
([(1,6),(2,6),(3,4),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>[4,1,1,1]
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
([(2,6),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,3,1]
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>[4,2,1]
([(1,6),(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>[4,1,1,1]
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>[4,1,1,1]
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>[4,1,1,1]
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>[5,1,1]
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>[3,3,1]
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[4,1,1,1]
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>[4,1,1,1]
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>[5,1,1]
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>[4,2,1]
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>[4,2,1]
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>[4,2,1]
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>[4,2,1]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>[5,1,1]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>[4,2,1]
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>[5,2]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>[5,1,1]
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>[5,1,1]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>[5,1,1]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>[4,2,1]
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>[4,2,1]
([(2,6),(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(1,6),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>[5,1,1]
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>[3,3,1]
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>[5,1,1]
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>[3,3,1]
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>[5,1,1]
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>[3,3,1]
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>[5,1,1]
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>[6,1]
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>[6,1]
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>[4,2,1]
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>[6,1]
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>[5,1,1]
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>[5,1,1]
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
([(1,6),(2,6),(3,5),(4,5)],7)=>[2,2,1,1,1]
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[2,1,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>[3,2,1,1]
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>[4,1,1,1]
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>[5,1,1]
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>[5,1,1]
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>[4,2,1]
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>[4,2,1]
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>[5,1,1]
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>[4,2,1]
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>[2,2,2,1]
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>[4,2,1]
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>[4,2,1]
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>[4,2,1]
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>[4,1,1,1]
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>[4,1,1,1]
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>[5,1,1]
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>[5,1,1]
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>[5,1,1]
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
([(3,6),(4,5)],7)=>[2,2,1,1,1]
([(3,6),(4,5),(4,6)],7)=>[2,2,1,1,1]
([(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>[3,3,1]
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>[4,3]
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>[3,3,1]
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>[3,3,1]
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>[3,3,1]
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>[4,2,1]
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>[3,3,1]
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>[3,3,1]
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>[3,3,1]
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>[5,2]
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>[4,3]
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>[4,3]
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>[4,3]
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>[4,2,1]
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>[4,3]
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>[4,2,1]
([(3,5),(3,6),(4,5),(4,6)],7)=>[2,1,1,1,1,1]
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,1,1,1]
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>[2,2,1,1,1]
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,1,1]
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>[4,2,1]
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>[4,1,1,1]
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>[4,1,1,1]
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>[4,1,1,1]
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>[4,2,1]
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,1,1,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>[4,1,1,1]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>[4,2,1]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>[3,3,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>[5,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>[5,1,1]
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>[5,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>[5,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>[4,1,1,1]
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,1,1,1]
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,1,1,1]
([(2,6),(3,4),(3,6),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>[3,2,1,1]
([(2,6),(3,4),(3,5)],7)=>[2,2,1,1,1]
([(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>[3,3,1]
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>[4,2,1]
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>[3,3,1]
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>[3,3,1]
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>[3,3,1]
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>[3,3,1]
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>[4,2,1]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>[3,2,2]
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>[3,2,2]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>[3,3,1]
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>[3,3,1]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>[3,2,2]
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>[3,2,1,1]
([(1,6),(2,3),(2,4),(2,5)],7)=>[2,2,1,1,1]
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>[2,2,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[3,1,1,1,1]
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>[4,1,1,1]
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>[5,1,1]
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>[4,1,1,1]
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>[4,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>[5,1,1]
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>[5,1,1]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,5),(1,3),(1,4),(1,6),(6,2)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7)=>[3,3,1]
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>[4,2,1]
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7)=>[4,2,1]
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>[4,2,1]
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>[5,1,1]
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7)=>[4,2,1]
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>[4,2,1]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>[5,1,1]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7)=>[5,1,1]
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7)=>[4,1,1,1]
([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)=>[4,2,1]
([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7)=>[4,1,1,1]
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[4,1,1,1]
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7)=>[3,3,1]
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[4,2,1]
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(1,5),(6,2)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>[5,1,1]
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(2,4),(2,6),(5,3),(6,5)],7)=>[4,1,1,1]
([(1,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,2,1]
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7)=>[4,2,1]
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>[4,3]
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7)=>[4,2,1]
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>[5,2]
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7)=>[4,3]
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7)=>[4,3]
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7)=>[5,2]
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>[4,2,1]
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7)=>[4,2,1]
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7)=>[4,2,1]
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7)=>[4,2,1]
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7)=>[4,3]
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7)=>[4,2,1]
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7)=>[4,2,1]
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>[4,2,1]
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7)=>[5,2]
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7)=>[5,2]
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7)=>[4,3]
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7)=>[5,2]
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>[4,2,1]
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7)=>[4,2,1]
([(2,6),(3,4),(3,5),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(1,5),(2,4),(2,6),(6,3)],7)=>[3,2,1,1]
([(1,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,1,1,1]
([(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7)=>[4,2,1]
([(0,5),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
([(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7)=>[3,3,1]
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)=>[4,3]
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,2,1]
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7)=>[4,3]
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,3]
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,3]
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7)=>[5,2]
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7)=>[4,3]
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7)=>[4,3]
([(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>[6,1]
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,2]
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)=>[4,2,1]
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(5,3),(6,2)],7)=>[3,3,1]
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>[5,1,1]
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7)=>[5,1,1]
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>[5,1,1]
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7)=>[3,3,1]
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7)=>[3,3,1]
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,3,1]
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7)=>[4,3]
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7)=>[3,3,1]
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>[3,3,1]
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7)=>[5,2]
([(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7)=>[3,2,1,1]
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7)=>[4,2,1]
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,1,1,1]
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7)=>[5,1,1]
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7)=>[4,2,1]
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7)=>[4,2,1]
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>[5,1,1]
([(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)=>[4,2,1]
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>[3,3,1]
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,1,1]
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>[6,1]
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[5,1,1]
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)=>[5,1,1]
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>[4,2,1]
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7)=>[5,1,1]
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7)=>[4,2,1]
([(0,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,2]
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>[4,2,1]
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7)=>[4,2,1]
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>[4,2,1]
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7)=>[4,2,1]
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7)=>[4,2,1]
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7)=>[3,2,2]
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7)=>[4,2,1]
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7)=>[4,2,1]
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7)=>[4,2,1]
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>[3,2,2]
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)=>[3,2,2]
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,2]
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7)=>[3,2,2]
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7)=>[5,1,1]
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>[4,1,1,1]
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7)=>[5,1,1]
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7)=>[5,2]
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>[4,1,1,1]
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7)=>[5,1,1]
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7)=>[5,1,1]
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>[4,2,1]
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>[5,2]
([(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,1,1,1]
([(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>[3,2,2]
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7)=>[3,2,2]
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7)=>[3,2,1,1]
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>[3,1,1,1,1]
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,1,1,1,1]
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>[4,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7)=>[2,2,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7)=>[4,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7)=>[4,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7)=>[4,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7)=>[4,1,1,1]
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,1,1,1]
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7)=>[3,3,1]
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7)=>[3,3,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7)=>[3,2,2]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7)=>[3,3,1]
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7)=>[3,2,1,1]
([(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7)=>[3,3,1]
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7)=>[4,3]
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7)=>[4,3]
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7)=>[4,2,1]
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>[4,3]
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7)=>[4,2,1]
([(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>[4,2,1]
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7)=>[3,3,1]
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>[3,3,1]
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7)=>[3,3,1]
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7)=>[4,2,1]
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7)=>[4,3]
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>[4,3]
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>[3,3,1]
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7)=>[3,3,1]
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>[3,3,1]
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7)=>[4,2,1]
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7)=>[3,2,2]
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>[3,2,2]
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7)=>[4,2,1]
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>[3,3,1]
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>[3,3,1]
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)=>[3,3,1]
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>[3,3,1]
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>[3,3,1]
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>[3,3,1]
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,2,2]
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7)=>[4,3]
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7)=>[5,2]
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7)=>[5,2]
([(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,1,1,1]
([(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,1,1,1]
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>[3,3,1]
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7)=>[3,3,1]
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7)=>[3,2,2]
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>[3,2,2]
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7)=>[3,3,1]
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7)=>[4,2,1]
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>[3,3,1]
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7)=>[4,2,1]
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,1,1,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>[3,1,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7)=>[3,2,1,1]
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>[3,3,1]
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7)=>[3,3,1]
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>[4,2,1]
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>[4,2,1]
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7)=>[3,2,1,1]
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7)=>[3,2,1,1]
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7)=>[3,2,1,1]
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7)=>[3,3,1]
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>[3,3,1]
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7)=>[3,2,1,1]
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7)=>[4,2,1]
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7)=>[3,3,1]
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7)=>[3,3,1]
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7)=>[4,2,1]
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7)=>[3,3,1]
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7)=>[3,3,1]
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>[4,2,1]
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7)=>[4,2,1]
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7)=>[4,2,1]
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>[3,3,1]
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>[3,3,1]
([(0,5),(0,6),(1,2),(1,3),(1,4)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7)=>[3,3,1]
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>[4,1,1,1]
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7)=>[4,2,1]
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7)=>[4,2,1]
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7)=>[3,3,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,2,1,1,1]
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>[2,1,1,1,1,1]
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7)=>[3,2,1,1]
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7)=>[3,2,1,1]
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7)=>[3,2,2]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7)=>[3,2,2]
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7)=>[3,3,1]
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7)=>[4,1,1,1]
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7)=>[4,2,1]
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7)=>[3,2,2]
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7)=>[3,2,2]
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7)=>[3,2,2]
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,1,1,1,1]
([(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7)=>[4,1,1,1]
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,1,1,1]
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,1,1,1]
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7)=>[5,1,1]
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7)=>[5,1,1]
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>[4,1,1,1]
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7)=>[4,2,1]
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7)=>[3,3,1]
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7)=>[4,2,1]
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>[3,2,2]
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7)=>[4,2,1]
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7)=>[4,2,1]
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7)=>[3,2,2]
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7)=>[3,3,1]
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7)=>[4,3]
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7)=>[4,3]
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>[3,3,1]
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7)=>[5,2]
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>[5,2]
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7)=>[3,3,1]
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7)=>[4,3]
([(0,3),(0,4),(1,5),(1,6),(6,2)],7)=>[3,2,1,1]
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>[4,1,1,1]
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7)=>[5,2]
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7)=>[3,3,1]
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7)=>[5,1,1]
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7)=>[4,2,1]
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7)=>[4,2,1]
([(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,1,1,1,1]
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7)=>[4,1,1,1]
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7)=>[4,2,1]
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7)=>[4,2,1]
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>[4,1,1,1]
([(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,1,1]
([(1,3),(1,6),(4,5),(5,2),(6,4)],7)=>[5,1,1]
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>[5,1,1]
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>[5,2]
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>[5,2]
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>[5,2]
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7)=>[5,2]
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7)=>[5,2]
([(1,6),(5,3),(5,4),(6,2),(6,5)],7)=>[4,1,1,1]
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>[4,1,1,1]
([(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7)=>[4,2,1]
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>[4,2,1]
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7)=>[4,3]
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)=>[5,2]
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>[5,2]
([(0,6),(1,4),(1,5),(6,2),(6,3)],7)=>[3,2,1,1]
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>[4,1,1,1]
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7)=>[5,2]
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7)=>[5,2]
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>[4,3]
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>[5,2]
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7)=>[5,2]
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>[5,2]
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>[4,3]
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,1,1,1]
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7)=>[5,1,1]
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[5,1,1]
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,1,1,1]
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7)=>[5,1,1]
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7)=>[5,1,1]
([(3,6),(4,5),(5,6)],7)=>[3,1,1,1,1]
([(2,6),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7)=>[4,1,1,1]
([(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(2,6),(5,4),(6,3),(6,5)],7)=>[4,1,1,1]
([(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7)=>[5,1,1]
([(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7)=>[4,2,1]
([(1,3),(2,6),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)=>[5,2]
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7)=>[4,3]
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>[4,3]
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7)=>[4,3]
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>[4,2,1]
([(1,5),(2,6),(6,3),(6,4)],7)=>[3,2,1,1]
([(1,6),(5,4),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
([(1,3),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>[4,2,1]
([(0,5),(1,6),(6,2),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7)=>[3,2,1,1]
([(1,3),(2,6),(3,4),(3,5),(5,6)],7)=>[4,1,1,1]
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[5,1,1]
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>[4,1,1,1]
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>[5,1,1]
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)=>[5,1,1]
([(2,6),(4,5),(5,3),(6,4)],7)=>[5,1,1]
([(1,5),(4,6),(5,4),(6,2),(6,3)],7)=>[5,1,1]
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>[5,1,1]
([(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7)=>[4,2,1]
([(1,6),(2,5),(5,3),(6,4)],7)=>[3,3,1]
([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>[5,1,1]
([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>[4,2,1]
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7)=>[4,3]
([(0,6),(1,5),(5,4),(6,2),(6,3)],7)=>[3,3,1]
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>[5,1,1]
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>[3,3,1]
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>[5,1,1]
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7)=>[3,3,1]
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>[3,3,1]
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>[6,1]
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>[5,2]
([(2,6),(3,4),(4,5),(5,6)],7)=>[4,1,1,1]
([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>[5,1,1]
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7)=>[5,1,1]
([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
([(1,6),(2,5),(3,4),(3,6)],7)=>[2,2,2,1]
([(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,2]
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>[4,2,1]
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>[3,3,1]
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)=>[5,2]
([(0,6),(1,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)=>[4,3]
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7)=>[4,2,1]
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7)=>[4,3]
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7)=>[4,3]
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>[4,3]
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>[3,3,1]
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>[4,3]
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7)=>[4,3]
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7)=>[3,3,1]
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7)=>[3,3,1]
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7)=>[4,2,1]
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)=>[4,3]
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>[4,2,1]
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7)=>[4,3]
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7)=>[4,3]
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>[4,2,1]
([(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>[4,2,1]
([(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
([(0,6),(1,3),(2,4),(2,6),(6,5)],7)=>[3,2,2]
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)=>[3,2,2]
([(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7)=>[3,2,2]
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>[2,2,2,1]
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>[3,2,2]
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,2]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,1,1,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,1,1,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>[3,1,1,1,1]
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7)=>[3,1,1,1,1]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7)=>[3,2,2]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7)=>[4,2,1]
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7)=>[3,2,2]
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)=>[3,2,2]
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>[3,3,1]
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>[3,2,2]
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>[3,2,2]
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7)=>[3,2,2]
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>[3,3,1]
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>[3,2,2]
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>[3,2,2]
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7)=>[3,2,2]
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7)=>[4,2,1]
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7)=>[4,3]
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7)=>[4,2,1]
([(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>[2,2,2,1]
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>[3,3,1]
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7)=>[4,2,1]
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>[3,3,1]
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7)=>[3,2,2]
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>[3,2,2]
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7)=>[4,2,1]
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>[2,2,2,1]
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>[3,2,2]
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>[4,3]
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7)=>[4,3]
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7)=>[4,2,1]
([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7)=>[3,2,2]
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>[3,2,2]
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>[3,2,1,1]
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>[4,2,1]
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7)=>[4,2,1]
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7)=>[4,2,1]
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>[4,2,1]
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7)=>[4,2,1]
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7)=>[4,3]
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7)=>[4,3]
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7)=>[4,2,1]
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>[4,2,1]
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>[3,3,1]
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>[4,2,1]
([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
([(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(2,3),(2,6),(4,5)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>[5,2]
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)=>[5,2]
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7)=>[5,2]
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)=>[5,2]
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)=>[3,3,1]
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>[5,2]
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7)=>[3,2,2]
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7)=>[4,2,1]
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>[3,2,2]
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7)=>[4,2,1]
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)=>[4,2,1]
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,2]
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>[4,2,1]
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7)=>[4,2,1]
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>[4,2,1]
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>[4,2,1]
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>[4,2,1]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>[4,2,1]
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,2]
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7)=>[4,2,1]
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7)=>[4,2,1]
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[4,2,1]
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>[4,2,1]
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7)=>[4,2,1]
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7)=>[4,2,1]
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>[5,1,1]
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7)=>[4,2,1]
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>[4,3]
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7)=>[4,3]
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>[5,2]
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7)=>[4,3]
([(0,6),(1,4),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7)=>[4,2,1]
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,2,1]
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7)=>[5,1,1]
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>[4,2,1]
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7)=>[5,1,1]
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>[4,2,1]
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>[6,1]
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>[5,1,1]
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7)=>[4,2,1]
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>[6,1]
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)=>[5,1,1]
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7)=>[4,2,1]
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>[5,1,1]
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7)=>[4,2,1]
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)=>[5,1,1]
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>[5,1,1]
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>[4,2,1]
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7)=>[4,2,1]
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>[4,2,1]
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7)=>[5,1,1]
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
([(0,5),(1,4),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7)=>[4,2,1]
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[4,1,1,1]
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7)=>[4,1,1,1]
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7)=>[4,2,1]
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7)=>[4,2,1]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7)=>[4,2,1]
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>[3,2,2]
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,1,1]
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>[3,2,1,1]
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7)=>[4,2,1]
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7)=>[3,2,2]
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>[3,2,2]
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>[4,3]
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7)=>[4,2,1]
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7)=>[4,2,1]
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7)=>[4,3]
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7)=>[4,2,1]
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7)=>[4,3]
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>[3,2,1,1]
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7)=>[4,2,1]
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7)=>[4,3]
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7)=>[4,2,1]
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7)=>[4,2,1]
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7)=>[3,2,1,1]
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7)=>[4,3]
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7)=>[4,3]
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,3,1]
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7)=>[4,3]
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7)=>[5,2]
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>[5,2]
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)=>[5,2]
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)=>[5,2]
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>[2,2,2,1]
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,2,1]
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,2,1,1,1]
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>[2,1,1,1,1,1]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>[3,3,1]
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>[3,3,1]
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7)=>[4,2,1]
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7)=>[4,2,1]
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>[4,3]
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>[3,2,2]
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>[4,2,1]
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>[3,2,2]
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7)=>[5,2]
([(0,3),(1,5),(2,4),(2,6),(5,6)],7)=>[3,2,2]
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7)=>[5,2]
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7)=>[3,2,2]
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7)=>[4,2,1]
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7)=>[4,3]
([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7)=>[5,1,1]
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7)=>[5,1,1]
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7)=>[5,1,1]
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>[4,1,1,1]
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,1,1,1]
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>[4,2,1]
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7)=>[5,1,1]
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7)=>[5,1,1]
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7)=>[5,1,1]
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>[4,3]
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>[5,2]
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7)=>[5,2]
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>[5,2]
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7)=>[5,2]
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7)=>[5,2]
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>[4,3]
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7)=>[4,3]
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>[3,3,1]
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7)=>[5,2]
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,6),(1,3),(1,4),(5,2),(6,5)],7)=>[4,2,1]
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>[6,1]
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>[4,2,1]
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>[4,2,1]
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7)=>[4,2,1]
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7)=>[4,2,1]
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7)=>[4,2,1]
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[4,2,1]
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>[5,1,1]
([(0,6),(1,5),(2,3),(2,4),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>[5,1,1]
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7)=>[5,1,1]
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>[5,2]
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>[4,2,1]
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7)=>[5,1,1]
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7)=>[5,1,1]
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,1,1,1]
([(1,6),(2,4),(5,3),(6,5)],7)=>[4,2,1]
([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>[4,2,1]
([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>[5,1,1]
([(1,3),(2,6),(3,5),(5,4),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>[5,2]
([(0,4),(1,5),(5,6),(6,2),(6,3)],7)=>[4,2,1]
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>[5,1,1]
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>[4,2,1]
([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>[6,1]
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>[6,1]
([(0,5),(1,6),(4,3),(5,4),(6,2)],7)=>[4,3]
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7)=>[4,3]
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>[4,3]
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>[6,1]
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>[6,1]
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7)=>[4,3]
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7)=>[5,2]
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>[4,3]
([(1,6),(2,4),(3,5),(5,6)],7)=>[3,2,1,1]
([(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>[3,2,1,1]
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>[4,2,1]
([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>[5,1,1]
([(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>[4,1,1,1]
([(0,6),(1,3),(2,4),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7)=>[5,1,1]
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>[4,2,1]
([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[3,2,1,1]
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,5),(1,4),(2,6),(6,3)],7)=>[3,2,2]
([(0,4),(1,6),(5,3),(6,2),(6,5)],7)=>[4,2,1]
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>[4,2,1]
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,3),(2,4),(4,5),(4,6)],7)=>[3,2,2]
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7)=>[3,2,2]
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>[5,2]
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7)=>[4,2,1]
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)=>[5,2]
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(0,6),(1,3),(4,5),(5,2),(6,4)],7)=>[5,2]
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>[5,2]
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7)=>[5,2]
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)=>[5,2]
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>[6,1]
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>[5,2]
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>[5,2]
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7)=>[5,2]
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7)=>[5,2]
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>[7]
([(0,6),(1,3),(2,4),(3,5),(4,6)],7)=>[3,3,1]
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>[3,3,1]
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>[3,2,2]
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>[6,1]
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>[5,1,1]
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>[4,2,1]
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>[4,2,1]
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>[5,1,1]
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>[5,1,1]
([(0,5),(1,4),(2,3),(4,6),(5,6)],7)=>[3,2,2]
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>[5,2]
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>[6,1]
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>[5,2]
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>[3,2,2]
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>[5,2]
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>[4,2,1]
([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>[4,2,1]
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7)=>[4,2,1]
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7)=>[4,2,1]
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>[5,1,1]
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7)=>[4,2,1]
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)=>[4,2,1]
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>[6,1]
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)=>[5,1,1]
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7)=>[4,2,1]
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7)=>[5,1,1]
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>[6,1]
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>[5,1,1]
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>[6,1]
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>[6,1]
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>[4,3]
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>[6,1]
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7)=>[4,2,1]
          

click to show experimental identities (only identities of compositions of up to three maps are shown)

Description

The partition given by the sizes of the Jordan blocks of the zeta matrix.

Properties

surjective, graded

Sage code

def mapping(P):
    # D is nilpotent
    n = len(P)
    D = P.lequal_matrix() - identity_matrix(QQ, n)

    # collect nullities of D, D^2, ...
    nullities = [0]
    A = D
    for k in range(n):
        nullities.append(n - A.rank())
        if A.is_zero():
            nullities.append(n)
            break
        A = A * D
    # the sizes of the Jordan blocks
    sizes = [2*nullities[k] - nullities[k-1] - nullities[k+1]
             for k in range(1, len(nullities)-1)]
    return Partition(exp=sizes)

Weight

Created

Oct 13, 2025 at 19:28 by Martin Rubey

Updated

Oct 13, 2025 at 19:28 by Martin Rubey