Values
=>
Cc0013;cc-rep
([2],3)=>1
([1,1],3)=>1
([2],4)=>2
([1,1],4)=>2
([2],5)=>2
([1,1],5)=>2
([2],6)=>2
([1,1],6)=>2
([3,1],3)=>2
([2,1,1],3)=>2
([3],4)=>1
([2,1],4)=>2
([1,1,1],4)=>1
([3],5)=>2
([2,1],5)=>3
([1,1,1],5)=>2
([3],6)=>2
([2,1],6)=>3
([1,1,1],6)=>2
([4,2],3)=>1
([3,1,1],3)=>1
([2,2,1,1],3)=>1
([4,1],4)=>2
([2,2],4)=>1
([3,1,1],4)=>3
([2,1,1,1],4)=>2
([4],5)=>1
([3,1],5)=>2
([2,2],5)=>2
([2,1,1],5)=>2
([1,1,1,1],5)=>1
([4],6)=>2
([3,1],6)=>3
([2,2],6)=>2
([2,1,1],6)=>3
([1,1,1,1],6)=>2
([5,3,1],3)=>2
([4,2,1,1],3)=>2
([3,2,2,1,1],3)=>2
([5,2],4)=>2
([4,1,1],4)=>2
([3,2,1],4)=>2
([3,1,1,1],4)=>2
([2,2,1,1,1],4)=>2
([5,1],5)=>2
([3,2],5)=>2
([4,1,1],5)=>3
([2,2,1],5)=>2
([3,1,1,1],5)=>3
([2,1,1,1,1],5)=>2
([5],6)=>1
([4,1],6)=>2
([3,2],6)=>3
([3,1,1],6)=>2
([2,2,1],6)=>3
([2,1,1,1],6)=>2
([1,1,1,1,1],6)=>1
([6,4,2],3)=>1
([5,3,1,1],3)=>1
([4,2,2,1,1],3)=>1
([3,3,2,2,1,1],3)=>1
([6,3],4)=>1
([5,2,1],4)=>2
([4,1,1,1],4)=>1
([4,2,2],4)=>2
([3,3,1,1],4)=>2
([3,2,1,1,1],4)=>2
([2,2,2,1,1,1],4)=>1
([6,2],5)=>2
([5,1,1],5)=>2
([3,3],5)=>1
([4,2,1],5)=>3
([4,1,1,1],5)=>3
([2,2,2],5)=>1
([3,2,1,1],5)=>3
([3,1,1,1,1],5)=>2
([2,2,1,1,1,1],5)=>2
([6,1],6)=>2
([4,2],6)=>2
([5,1,1],6)=>3
([3,3],6)=>2
([3,2,1],6)=>3
([4,1,1,1],6)=>3
([2,2,2],6)=>2
([2,2,1,1],6)=>2
([3,1,1,1,1],6)=>3
([2,1,1,1,1,1],6)=>2
([7,2],6)=>2
([6,1,1],6)=>2
([4,3],6)=>2
([5,2,1],6)=>3
([5,1,1,1],6)=>3
([3,3,1],6)=>2
([3,2,2],6)=>2
([4,2,1,1],6)=>4
([4,1,1,1,1],6)=>3
([2,2,2,1],6)=>2
([3,2,1,1,1],6)=>3
([3,1,1,1,1,1],6)=>2
([2,2,1,1,1,1,1],6)=>2
([],2)=>1
([1],2)=>1
([2,1],2)=>1
([3,2,1],2)=>1
([4,3,2,1],2)=>1
([5,4,3,2,1],2)=>1
([6,5,4,3,2,1],2)=>1
([7,6,5,4,3,2,1],2)=>1
([8,7,6,5,4,3,2,1],2)=>1
([9,8,7,6,5,4,3,2,1],2)=>1
([10,9,8,7,6,5,4,3,2,1],2)=>1
([11,10,9,8,7,6,5,4,3,2,1],2)=>1
([],3)=>1
([1],3)=>2
([7,5,3,1],3)=>2
([6,4,2,1,1],3)=>2
([5,3,2,2,1,1],3)=>2
([4,3,3,2,2,1,1],3)=>2
([8,6,4,2],3)=>1
([7,5,3,1,1],3)=>1
([6,4,2,2,1,1],3)=>1
([5,3,3,2,2,1,1],3)=>1
([4,4,3,3,2,2,1,1],3)=>1
([9,7,5,3,1],3)=>2
([8,6,4,2,1,1],3)=>2
([7,5,3,2,2,1,1],3)=>2
([6,4,3,3,2,2,1,1],3)=>2
([5,4,4,3,3,2,2,1,1],3)=>2
([10,8,6,4,2],3)=>1
([9,7,5,3,1,1],3)=>1
([8,6,4,2,2,1,1],3)=>1
([7,5,3,3,2,2,1,1],3)=>1
([6,4,4,3,3,2,2,1,1],3)=>1
([5,5,4,4,3,3,2,2,1,1],3)=>1
([11,9,7,5,3,1],3)=>2
([10,8,6,4,2,1,1],3)=>2
([9,7,5,3,2,2,1,1],3)=>2
([8,6,4,3,3,2,2,1,1],3)=>2
([7,5,4,4,3,3,2,2,1,1],3)=>2
([6,5,5,4,4,3,3,2,2,1,1],3)=>2
([],4)=>1
([1],4)=>2
([7,4,1],4)=>2
([5,2,2],4)=>1
([6,3,1,1],4)=>3
([5,2,1,1,1],4)=>2
([4,3,2,1],4)=>2
([3,3,1,1,1],4)=>1
([4,2,2,1,1,1],4)=>3
([3,2,2,2,1,1,1],4)=>2
([8,5,2],4)=>2
([7,4,1,1],4)=>2
([6,3,2,1],4)=>2
([6,3,1,1,1],4)=>2
([5,2,2,1,1,1],4)=>2
([4,4,2,2],4)=>1
([5,3,3,1,1],4)=>3
([4,3,2,1,1,1],4)=>2
([4,2,2,2,1,1,1],4)=>2
([3,3,2,2,2,1,1,1],4)=>2
([9,6,3],4)=>1
([8,5,2,1],4)=>2
([7,4,1,1,1],4)=>1
([7,4,2,2],4)=>2
([6,3,3,1,1],4)=>2
([6,3,2,1,1,1],4)=>2
([5,2,2,2,1,1,1],4)=>1
([5,4,3,2,1],4)=>2
([5,3,3,1,1,1],4)=>2
([4,4,2,2,1,1,1],4)=>2
([4,3,2,2,2,1,1,1],4)=>2
([3,3,3,2,2,2,1,1,1],4)=>1
([10,7,4,1],4)=>2
([8,5,2,2],4)=>1
([9,6,3,1,1],4)=>3
([8,5,2,1,1,1],4)=>2
([7,4,3,2,1],4)=>2
([6,3,3,1,1,1],4)=>1
([7,4,2,2,1,1,1],4)=>3
([6,3,2,2,2,1,1,1],4)=>2
([6,4,4,2,2],4)=>2
([5,5,3,3,1,1],4)=>2
([5,4,3,2,1,1,1],4)=>2
([4,4,2,2,2,1,1,1],4)=>1
([5,3,3,2,2,2,1,1,1],4)=>3
([4,3,3,3,2,2,2,1,1,1],4)=>2
([11,8,5,2],4)=>2
([10,7,4,1,1],4)=>2
([9,6,3,2,1],4)=>2
([9,6,3,1,1,1],4)=>2
([8,5,2,2,1,1,1],4)=>2
([7,4,4,2,2],4)=>1
([8,5,3,3,1,1],4)=>3
([7,4,3,2,1,1,1],4)=>2
([7,4,2,2,2,1,1,1],4)=>2
([6,3,3,2,2,2,1,1,1],4)=>2
([6,5,4,3,2,1],4)=>2
([5,5,3,3,1,1,1],4)=>1
([6,4,4,2,2,1,1,1],4)=>3
([5,4,3,2,2,2,1,1,1],4)=>2
([5,3,3,3,2,2,2,1,1,1],4)=>2
([4,4,3,3,3,2,2,2,1,1,1],4)=>2
([],5)=>1
([1],5)=>2
([7,3],5)=>2
([6,2,1],5)=>3
([5,1,1,1],5)=>2
([4,3,1],5)=>2
([5,2,2],5)=>3
([4,2,1,1],5)=>2
([4,1,1,1,1],5)=>2
([3,2,2,1],5)=>2
([3,3,1,1,1],5)=>3
([3,2,1,1,1,1],5)=>3
([2,2,2,1,1,1,1],5)=>2
([8,4],5)=>1
([7,3,1],5)=>2
([6,2,2],5)=>2
([6,2,1,1],5)=>2
([5,1,1,1,1],5)=>1
([5,3,2],5)=>2
([4,4,1,1],5)=>2
([5,2,2,1],5)=>3
([4,3,1,1,1],5)=>3
([4,2,1,1,1,1],5)=>2
([4,2,2,2],5)=>2
([3,3,2,1,1],5)=>2
([3,3,1,1,1,1],5)=>2
([3,2,2,1,1,1,1],5)=>2
([2,2,2,2,1,1,1,1],5)=>1
([9,5,1],5)=>2
([7,3,2],5)=>2
([8,4,1,1],5)=>3
([6,2,2,1],5)=>2
([7,3,1,1,1],5)=>3
([6,2,1,1,1,1],5)=>2
([6,3,3],5)=>2
([5,4,2,1],5)=>3
([4,4,1,1,1],5)=>2
([5,2,2,2],5)=>2
([5,3,2,1,1],5)=>3
([4,3,1,1,1,1],5)=>2
([5,2,2,1,1,1,1],5)=>3
([4,3,2,2,1],5)=>3
([3,3,3,1,1,1],5)=>2
([3,3,2,1,1,1,1],5)=>2
([4,2,2,2,1,1,1,1],5)=>3
([3,2,2,2,2,1,1,1,1],5)=>2
([10,6,2],5)=>2
([9,5,1,1],5)=>2
([7,3,3],5)=>1
([8,4,2,1],5)=>3
([8,4,1,1,1],5)=>3
([6,2,2,2],5)=>1
([7,3,2,1,1],5)=>3
([7,3,1,1,1,1],5)=>2
([6,2,2,1,1,1,1],5)=>2
([6,4,3,1],5)=>2
([5,5,2,2],5)=>2
([5,4,2,1,1],5)=>2
([4,4,1,1,1,1],5)=>1
([5,3,2,2,1],5)=>2
([6,3,3,1,1,1],5)=>4
([5,3,2,1,1,1,1],5)=>3
([5,2,2,2,1,1,1,1],5)=>3
([4,4,2,2,2],5)=>2
([4,3,3,2,1,1],5)=>2
([3,3,3,1,1,1,1],5)=>1
([4,3,2,2,1,1,1,1],5)=>3
([4,2,2,2,2,1,1,1,1],5)=>2
([3,3,2,2,2,2,1,1,1,1],5)=>2
([11,7,3],5)=>2
([10,6,2,1],5)=>3
([9,5,1,1,1],5)=>2
([8,4,3,1],5)=>2
([9,5,2,2],5)=>3
([8,4,2,1,1],5)=>2
([8,4,1,1,1,1],5)=>2
([7,3,2,2,1],5)=>2
([7,3,3,1,1,1],5)=>3
([7,3,2,1,1,1,1],5)=>3
([6,2,2,2,1,1,1,1],5)=>2
([6,5,3,2],5)=>2
([7,4,4,1,1],5)=>3
([5,5,2,2,1],5)=>2
([6,4,3,1,1,1],5)=>3
([5,4,2,1,1,1,1],5)=>2
([5,4,2,2,2],5)=>2
([6,3,3,2,1,1],5)=>3
([6,3,3,1,1,1,1],5)=>3
([5,3,2,2,1,1,1,1],5)=>2
([5,2,2,2,2,1,1,1,1],5)=>2
([4,4,3,2,2,1],5)=>2
([5,3,3,3,1,1,1],5)=>3
([4,3,3,2,1,1,1,1],5)=>2
([4,4,2,2,2,1,1,1,1],5)=>3
([4,3,2,2,2,2,1,1,1,1],5)=>3
([3,3,3,2,2,2,2,1,1,1,1],5)=>2
([],6)=>1
([1],6)=>2
([8,3],6)=>2
([7,2,1],6)=>3
([6,1,1,1],6)=>2
([4,4],6)=>1
([5,3,1],6)=>3
([6,2,2],6)=>3
([5,2,1,1],6)=>3
([5,1,1,1,1],6)=>3
([3,3,2],6)=>2
([4,3,1,1],6)=>3
([4,2,2,1],6)=>3
([4,2,1,1,1],6)=>3
([4,1,1,1,1,1],6)=>2
([2,2,2,2],6)=>1
([3,2,2,1,1],6)=>3
([3,3,1,1,1,1],6)=>3
([3,2,1,1,1,1,1],6)=>3
([2,2,2,1,1,1,1,1],6)=>2
([9,4],6)=>2
([8,3,1],6)=>3
([7,2,2],6)=>2
([7,2,1,1],6)=>3
([6,1,1,1,1],6)=>2
([5,4,1],6)=>2
([6,3,2],6)=>3
([5,3,1,1],6)=>2
([6,2,2,1],6)=>4
([5,2,1,1,1],6)=>2
([5,1,1,1,1,1],6)=>2
([3,3,3],6)=>1
([4,3,2,1],6)=>3
([4,4,1,1,1],6)=>3
([5,2,2,2],6)=>3
([4,2,2,1,1],6)=>2
([4,3,1,1,1,1],6)=>4
([4,2,1,1,1,1,1],6)=>3
([3,2,2,2,1],6)=>2
([3,3,2,1,1,1],6)=>3
([3,3,1,1,1,1,1],6)=>2
([3,2,2,1,1,1,1,1],6)=>3
([2,2,2,2,1,1,1,1,1],6)=>2
([10,5],6)=>1
([9,4,1],6)=>2
([8,3,2],6)=>3
([8,3,1,1],6)=>2
([7,2,2,1],6)=>3
([7,2,1,1,1],6)=>2
([6,1,1,1,1,1],6)=>1
([6,4,2],6)=>2
([5,5,1,1],6)=>2
([7,3,3],6)=>3
([6,3,2,1],6)=>3
([5,4,1,1,1],6)=>3
([6,2,2,2],6)=>3
([6,2,2,1,1],6)=>3
([5,3,1,1,1,1],6)=>3
([5,2,1,1,1,1,1],6)=>2
([4,3,3,1],6)=>2
([5,3,2,2],6)=>3
([4,4,2,1,1],6)=>3
([4,4,1,1,1,1],6)=>3
([5,2,2,2,1],6)=>3
([4,3,2,1,1,1],6)=>3
([4,3,1,1,1,1,1],6)=>3
([4,2,2,1,1,1,1,1],6)=>2
([4,2,2,2,2],6)=>2
([3,3,2,2,1,1],6)=>2
([3,3,3,1,1,1,1],6)=>3
([3,3,2,1,1,1,1,1],6)=>3
([3,2,2,2,1,1,1,1,1],6)=>2
([2,2,2,2,2,1,1,1,1,1],6)=>1
([11,6,1],6)=>2
([9,4,2],6)=>2
([10,5,1,1],6)=>3
([8,3,3],6)=>2
([8,3,2,1],6)=>3
([9,4,1,1,1],6)=>3
([7,2,2,2],6)=>2
([7,2,2,1,1],6)=>2
([8,3,1,1,1,1],6)=>3
([7,2,1,1,1,1,1],6)=>2
([7,4,3],6)=>2
([6,5,2,1],6)=>3
([5,5,1,1,1],6)=>2
([7,3,3,1],6)=>3
([6,3,2,2],6)=>2
([6,4,2,1,1],6)=>4
([5,4,1,1,1,1],6)=>3
([6,2,2,2,1],6)=>3
([6,3,2,1,1,1],6)=>3
([5,3,1,1,1,1,1],6)=>2
([6,2,2,1,1,1,1,1],6)=>3
([5,3,3,2],6)=>2
([4,4,3,1,1],6)=>2
([5,4,2,2,1],6)=>4
([4,4,2,1,1,1],6)=>2
([4,4,1,1,1,1,1],6)=>2
([5,2,2,2,2],6)=>2
([5,3,2,2,1,1],6)=>4
([4,3,3,1,1,1,1],6)=>3
([4,3,2,1,1,1,1,1],6)=>3
([5,2,2,2,1,1,1,1,1],6)=>3
([4,3,2,2,2,1],6)=>3
([3,3,3,2,1,1,1],6)=>2
([3,3,3,1,1,1,1,1],6)=>2
([3,3,2,2,1,1,1,1,1],6)=>2
([4,2,2,2,2,1,1,1,1,1],6)=>3
([3,2,2,2,2,2,1,1,1,1,1],6)=>2
([],7)=>1
([1],7)=>2
([2],7)=>2
([1,1],7)=>2
([3],7)=>2
([2,1],7)=>3
([1,1,1],7)=>2
([4],7)=>2
([3,1],7)=>3
([2,2],7)=>2
([2,1,1],7)=>3
([1,1,1,1],7)=>2
([5],7)=>2
([4,1],7)=>3
([3,2],7)=>3
([3,1,1],7)=>3
([2,2,1],7)=>3
([2,1,1,1],7)=>3
([1,1,1,1,1],7)=>2
([6],7)=>1
([5,1],7)=>2
([4,2],7)=>3
([4,1,1],7)=>2
([3,3],7)=>2
([3,2,1],7)=>4
([3,1,1,1],7)=>2
([2,2,2],7)=>2
([2,2,1,1],7)=>3
([2,1,1,1,1],7)=>2
([1,1,1,1,1,1],7)=>1
([7,1],7)=>2
([5,2],7)=>2
([6,1,1],7)=>3
([4,3],7)=>3
([4,2,1],7)=>3
([5,1,1,1],7)=>3
([3,3,1],7)=>3
([3,2,2],7)=>3
([3,2,1,1],7)=>3
([4,1,1,1,1],7)=>3
([2,2,2,1],7)=>3
([2,2,1,1,1],7)=>2
([3,1,1,1,1,1],7)=>3
([2,1,1,1,1,1,1],7)=>2
([8,2],7)=>2
([7,1,1],7)=>2
([5,3],7)=>2
([6,2,1],7)=>3
([6,1,1,1],7)=>3
([4,4],7)=>2
([4,3,1],7)=>3
([4,2,2],7)=>2
([5,2,1,1],7)=>4
([5,1,1,1,1],7)=>3
([3,3,2],7)=>3
([3,3,1,1],7)=>2
([3,2,2,1],7)=>3
([4,2,1,1,1],7)=>4
([4,1,1,1,1,1],7)=>3
([2,2,2,2],7)=>2
([2,2,2,1,1],7)=>2
([3,2,1,1,1,1],7)=>3
([3,1,1,1,1,1,1],7)=>2
([2,2,1,1,1,1,1,1],7)=>2
([9,3],7)=>2
([8,2,1],7)=>3
([7,1,1,1],7)=>2
([5,4],7)=>2
([6,3,1],7)=>3
([7,2,2],7)=>3
([6,2,1,1],7)=>3
([6,1,1,1,1],7)=>3
([4,4,1],7)=>2
([4,3,2],7)=>3
([5,3,1,1],7)=>4
([5,2,2,1],7)=>3
([5,2,1,1,1],7)=>4
([5,1,1,1,1,1],7)=>3
([3,3,3],7)=>2
([3,3,2,1],7)=>3
([4,3,1,1,1],7)=>3
([3,2,2,2],7)=>2
([4,2,2,1,1],7)=>4
([4,2,1,1,1,1],7)=>3
([4,1,1,1,1,1,1],7)=>2
([2,2,2,2,1],7)=>2
([3,2,2,1,1,1],7)=>3
([3,3,1,1,1,1,1],7)=>3
([3,2,1,1,1,1,1,1],7)=>3
([2,2,2,1,1,1,1,1,1],7)=>2
([10,4],7)=>2
([9,3,1],7)=>3
([8,2,2],7)=>2
([8,2,1,1],7)=>3
([7,1,1,1,1],7)=>2
([5,5],7)=>1
([6,4,1],7)=>3
([7,3,2],7)=>3
([6,3,1,1],7)=>3
([7,2,2,1],7)=>4
([6,2,1,1,1],7)=>3
([6,1,1,1,1,1],7)=>3
([4,4,2],7)=>2
([5,4,1,1],7)=>3
([4,3,3],7)=>2
([5,3,2,1],7)=>4
([5,3,1,1,1],7)=>3
([6,2,2,2],7)=>3
([5,2,2,1,1],7)=>3
([5,2,1,1,1,1],7)=>3
([5,1,1,1,1,1,1],7)=>2
([3,3,3,1],7)=>2
([3,3,2,2],7)=>2
([4,3,2,1,1],7)=>4
([4,4,1,1,1,1],7)=>3
([4,2,2,2,1],7)=>3
([4,2,2,1,1,1],7)=>3
([4,3,1,1,1,1,1],7)=>4
([4,2,1,1,1,1,1,1],7)=>3
([2,2,2,2,2],7)=>1
([3,2,2,2,1,1],7)=>3
([3,3,2,1,1,1,1],7)=>3
([3,3,1,1,1,1,1,1],7)=>2
([3,2,2,1,1,1,1,1,1],7)=>3
([2,2,2,2,1,1,1,1,1,1],7)=>2
([11,5],7)=>2
([10,4,1],7)=>3
([9,3,2],7)=>3
([9,3,1,1],7)=>3
([8,2,2,1],7)=>3
([8,2,1,1,1],7)=>3
([7,1,1,1,1,1],7)=>2
([6,5,1],7)=>2
([7,4,2],7)=>3
([6,4,1,1],7)=>2
([8,3,3],7)=>3
([7,3,2,1],7)=>4
([6,3,1,1,1],7)=>2
([7,2,2,2],7)=>3
([7,2,2,1,1],7)=>4
([6,2,1,1,1,1],7)=>2
([6,1,1,1,1,1,1],7)=>2
([4,4,3],7)=>2
([5,4,2,1],7)=>3
([5,5,1,1,1],7)=>3
([5,3,3,1],7)=>3
([6,3,2,2],7)=>4
([5,3,2,1,1],7)=>3
([5,4,1,1,1,1],7)=>4
([6,2,2,2,1],7)=>4
([5,2,2,1,1,1],7)=>2
([5,3,1,1,1,1,1],7)=>4
([5,2,1,1,1,1,1,1],7)=>3
([3,3,3,2],7)=>2
([4,3,3,1,1],7)=>3
([4,3,2,2,1],7)=>3
([4,4,2,1,1,1],7)=>4
([4,4,1,1,1,1,1],7)=>3
([5,2,2,2,2],7)=>3
([4,2,2,2,1,1],7)=>2
([4,3,2,1,1,1,1],7)=>4
([4,3,1,1,1,1,1,1],7)=>3
([4,2,2,1,1,1,1,1,1],7)=>3
([3,2,2,2,2,1],7)=>2
([3,3,2,2,1,1,1],7)=>3
([3,3,3,1,1,1,1,1],7)=>3
([3,3,2,1,1,1,1,1,1],7)=>3
([3,2,2,2,1,1,1,1,1,1],7)=>3
([2,2,2,2,2,1,1,1,1,1,1],7)=>2
([],8)=>1
([1],8)=>2
([2],8)=>2
([1,1],8)=>2
([3],8)=>2
([2,1],8)=>3
([1,1,1],8)=>2
([4],8)=>2
([3,1],8)=>3
([2,2],8)=>2
([2,1,1],8)=>3
([1,1,1,1],8)=>2
([5],8)=>2
([4,1],8)=>3
([3,2],8)=>3
([3,1,1],8)=>3
([2,2,1],8)=>3
([2,1,1,1],8)=>3
([1,1,1,1,1],8)=>2
([6],8)=>2
([5,1],8)=>3
([4,2],8)=>3
([4,1,1],8)=>3
([3,3],8)=>2
([3,2,1],8)=>4
([3,1,1,1],8)=>3
([2,2,2],8)=>2
([2,2,1,1],8)=>3
([2,1,1,1,1],8)=>3
([1,1,1,1,1,1],8)=>2
([7],8)=>1
([6,1],8)=>2
([5,2],8)=>3
([5,1,1],8)=>2
([4,3],8)=>3
([4,2,1],8)=>4
([4,1,1,1],8)=>2
([3,3,1],8)=>3
([3,2,2],8)=>3
([3,2,1,1],8)=>4
([3,1,1,1,1],8)=>2
([2,2,2,1],8)=>3
([2,2,1,1,1],8)=>3
([2,1,1,1,1,1],8)=>2
([1,1,1,1,1,1,1],8)=>1
([8,1],8)=>2
([6,2],8)=>2
([7,1,1],8)=>3
([5,3],8)=>3
([5,2,1],8)=>3
([6,1,1,1],8)=>3
([4,4],8)=>2
([4,3,1],8)=>4
([4,2,2],8)=>3
([4,2,1,1],8)=>3
([5,1,1,1,1],8)=>3
([3,3,2],8)=>3
([3,3,1,1],8)=>3
([3,2,2,1],8)=>4
([3,2,1,1,1],8)=>3
([4,1,1,1,1,1],8)=>3
([2,2,2,2],8)=>2
([2,2,2,1,1],8)=>3
([2,2,1,1,1,1],8)=>2
([3,1,1,1,1,1,1],8)=>3
([2,1,1,1,1,1,1,1],8)=>2
([9,2],8)=>2
([8,1,1],8)=>2
([6,3],8)=>2
([7,2,1],8)=>3
([7,1,1,1],8)=>3
([5,4],8)=>3
([5,3,1],8)=>3
([5,2,2],8)=>2
([6,2,1,1],8)=>4
([6,1,1,1,1],8)=>3
([4,4,1],8)=>3
([4,3,2],8)=>4
([4,3,1,1],8)=>3
([4,2,2,1],8)=>3
([5,2,1,1,1],8)=>4
([5,1,1,1,1,1],8)=>3
([3,3,3],8)=>2
([3,3,2,1],8)=>4
([3,3,1,1,1],8)=>2
([3,2,2,2],8)=>3
([3,2,2,1,1],8)=>3
([4,2,1,1,1,1],8)=>4
([4,1,1,1,1,1,1],8)=>3
([2,2,2,2,1],8)=>3
([2,2,2,1,1,1],8)=>2
([3,2,1,1,1,1,1],8)=>3
([3,1,1,1,1,1,1,1],8)=>2
([2,2,1,1,1,1,1,1,1],8)=>2
([10,3],8)=>2
([9,2,1],8)=>3
([8,1,1,1],8)=>2
([6,4],8)=>2
([7,3,1],8)=>3
([8,2,2],8)=>3
([7,2,1,1],8)=>3
([7,1,1,1,1],8)=>3
([5,5],8)=>2
([5,4,1],8)=>3
([5,3,2],8)=>3
([6,3,1,1],8)=>4
([6,2,2,1],8)=>3
([6,2,1,1,1],8)=>4
([6,1,1,1,1,1],8)=>3
([4,4,2],8)=>3
([4,4,1,1],8)=>2
([4,3,3],8)=>3
([4,3,2,1],8)=>4
([5,3,1,1,1],8)=>4
([4,2,2,2],8)=>2
([5,2,2,1,1],8)=>4
([5,2,1,1,1,1],8)=>4
([5,1,1,1,1,1,1],8)=>3
([3,3,3,1],8)=>3
([3,3,2,2],8)=>3
([3,3,2,1,1],8)=>3
([4,3,1,1,1,1],8)=>3
([3,2,2,2,1],8)=>3
([4,2,2,1,1,1],8)=>4
([4,2,1,1,1,1,1],8)=>3
([4,1,1,1,1,1,1,1],8)=>2
([2,2,2,2,2],8)=>2
([2,2,2,2,1,1],8)=>2
([3,2,2,1,1,1,1],8)=>3
([3,3,1,1,1,1,1,1],8)=>3
([3,2,1,1,1,1,1,1,1],8)=>3
([2,2,2,1,1,1,1,1,1,1],8)=>2
([11,4],8)=>2
([10,3,1],8)=>3
([9,2,2],8)=>2
([9,2,1,1],8)=>3
([8,1,1,1,1],8)=>2
([6,5],8)=>2
([7,4,1],8)=>3
([8,3,2],8)=>3
([7,3,1,1],8)=>3
([8,2,2,1],8)=>4
([7,2,1,1,1],8)=>3
([7,1,1,1,1,1],8)=>3
([5,5,1],8)=>2
([5,4,2],8)=>3
([6,4,1,1],8)=>4
([5,3,3],8)=>2
([6,3,2,1],8)=>4
([6,3,1,1,1],8)=>4
([7,2,2,2],8)=>3
([6,2,2,1,1],8)=>3
([6,2,1,1,1,1],8)=>4
([6,1,1,1,1,1,1],8)=>3
([4,4,3],8)=>3
([4,4,2,1],8)=>3
([5,4,1,1,1],8)=>3
([4,3,3,1],8)=>3
([4,3,2,2],8)=>3
([5,3,2,1,1],8)=>5
([5,3,1,1,1,1],8)=>3
([5,2,2,2,1],8)=>3
([5,2,2,1,1,1],8)=>4
([5,2,1,1,1,1,1],8)=>3
([5,1,1,1,1,1,1,1],8)=>2
([3,3,3,2],8)=>3
([3,3,3,1,1],8)=>2
([3,3,2,2,1],8)=>3
([4,3,2,1,1,1],8)=>4
([4,4,1,1,1,1,1],8)=>3
([3,2,2,2,2],8)=>2
([4,2,2,2,1,1],8)=>4
([4,2,2,1,1,1,1],8)=>3
([4,3,1,1,1,1,1,1],8)=>4
([4,2,1,1,1,1,1,1,1],8)=>3
([2,2,2,2,2,1],8)=>2
([3,2,2,2,1,1,1],8)=>3
([3,3,2,1,1,1,1,1],8)=>3
([3,3,1,1,1,1,1,1,1],8)=>2
([3,2,2,1,1,1,1,1,1,1],8)=>3
([2,2,2,2,1,1,1,1,1,1,1],8)=>2
([],9)=>1
([1],9)=>2
([2],9)=>2
([1,1],9)=>2
([3],9)=>2
([2,1],9)=>3
([1,1,1],9)=>2
([4],9)=>2
([3,1],9)=>3
([2,2],9)=>2
([2,1,1],9)=>3
([1,1,1,1],9)=>2
([5],9)=>2
([4,1],9)=>3
([3,2],9)=>3
([3,1,1],9)=>3
([2,2,1],9)=>3
([2,1,1,1],9)=>3
([1,1,1,1,1],9)=>2
([6],9)=>2
([5,1],9)=>3
([4,2],9)=>3
([4,1,1],9)=>3
([3,3],9)=>2
([3,2,1],9)=>4
([3,1,1,1],9)=>3
([2,2,2],9)=>2
([2,2,1,1],9)=>3
([2,1,1,1,1],9)=>3
([1,1,1,1,1,1],9)=>2
([7],9)=>2
([6,1],9)=>3
([5,2],9)=>3
([5,1,1],9)=>3
([4,3],9)=>3
([4,2,1],9)=>4
([4,1,1,1],9)=>3
([3,3,1],9)=>3
([3,2,2],9)=>3
([3,2,1,1],9)=>4
([3,1,1,1,1],9)=>3
([2,2,2,1],9)=>3
([2,2,1,1,1],9)=>3
([2,1,1,1,1,1],9)=>3
([1,1,1,1,1,1,1],9)=>2
([8],9)=>1
([7,1],9)=>2
([6,2],9)=>3
([6,1,1],9)=>2
([5,3],9)=>3
([5,2,1],9)=>4
([5,1,1,1],9)=>2
([4,4],9)=>2
([4,3,1],9)=>4
([4,2,2],9)=>3
([4,2,1,1],9)=>4
([4,1,1,1,1],9)=>2
([3,3,2],9)=>3
([3,3,1,1],9)=>3
([3,2,2,1],9)=>4
([3,2,1,1,1],9)=>4
([3,1,1,1,1,1],9)=>2
([2,2,2,2],9)=>2
([2,2,2,1,1],9)=>3
([2,2,1,1,1,1],9)=>3
([2,1,1,1,1,1,1],9)=>2
([1,1,1,1,1,1,1,1],9)=>1
([9,1],9)=>2
([7,2],9)=>2
([8,1,1],9)=>3
([6,3],9)=>3
([6,2,1],9)=>3
([7,1,1,1],9)=>3
([5,4],9)=>3
([5,3,1],9)=>4
([5,2,2],9)=>3
([5,2,1,1],9)=>3
([6,1,1,1,1],9)=>3
([4,4,1],9)=>3
([4,3,2],9)=>4
([4,3,1,1],9)=>4
([4,2,2,1],9)=>4
([4,2,1,1,1],9)=>3
([5,1,1,1,1,1],9)=>3
([3,3,3],9)=>2
([3,3,2,1],9)=>4
([3,3,1,1,1],9)=>3
([3,2,2,2],9)=>3
([3,2,2,1,1],9)=>4
([3,2,1,1,1,1],9)=>3
([4,1,1,1,1,1,1],9)=>3
([2,2,2,2,1],9)=>3
([2,2,2,1,1,1],9)=>3
([2,2,1,1,1,1,1],9)=>2
([3,1,1,1,1,1,1,1],9)=>3
([2,1,1,1,1,1,1,1,1],9)=>2
([10,2],9)=>2
([9,1,1],9)=>2
([7,3],9)=>2
([8,2,1],9)=>3
([8,1,1,1],9)=>3
([6,4],9)=>3
([6,3,1],9)=>3
([6,2,2],9)=>2
([7,2,1,1],9)=>4
([7,1,1,1,1],9)=>3
([5,5],9)=>2
([5,4,1],9)=>4
([5,3,2],9)=>4
([5,3,1,1],9)=>3
([5,2,2,1],9)=>3
([6,2,1,1,1],9)=>4
([6,1,1,1,1,1],9)=>3
([4,4,2],9)=>3
([4,4,1,1],9)=>3
([4,3,3],9)=>3
([4,3,2,1],9)=>5
([4,3,1,1,1],9)=>3
([4,2,2,2],9)=>3
([4,2,2,1,1],9)=>3
([5,2,1,1,1,1],9)=>4
([5,1,1,1,1,1,1],9)=>3
([3,3,3,1],9)=>3
([3,3,2,2],9)=>3
([3,3,2,1,1],9)=>4
([3,3,1,1,1,1],9)=>2
([3,2,2,2,1],9)=>4
([3,2,2,1,1,1],9)=>3
([4,2,1,1,1,1,1],9)=>4
([4,1,1,1,1,1,1,1],9)=>3
([2,2,2,2,2],9)=>2
([2,2,2,2,1,1],9)=>3
([2,2,2,1,1,1,1],9)=>2
([3,2,1,1,1,1,1,1],9)=>3
([3,1,1,1,1,1,1,1,1],9)=>2
([2,2,1,1,1,1,1,1,1,1],9)=>2
([11,3],9)=>2
([10,2,1],9)=>3
([9,1,1,1],9)=>2
([7,4],9)=>2
([8,3,1],9)=>3
([9,2,2],9)=>3
([8,2,1,1],9)=>3
([8,1,1,1,1],9)=>3
([6,5],9)=>3
([6,4,1],9)=>3
([6,3,2],9)=>3
([7,3,1,1],9)=>4
([7,2,2,1],9)=>3
([7,2,1,1,1],9)=>4
([7,1,1,1,1,1],9)=>3
([5,5,1],9)=>3
([5,4,2],9)=>4
([5,4,1,1],9)=>3
([5,3,3],9)=>3
([5,3,2,1],9)=>4
([6,3,1,1,1],9)=>4
([5,2,2,2],9)=>2
([6,2,2,1,1],9)=>4
([6,2,1,1,1,1],9)=>4
([6,1,1,1,1,1,1],9)=>3
([4,4,3],9)=>3
([4,4,2,1],9)=>4
([4,4,1,1,1],9)=>2
([4,3,3,1],9)=>4
([4,3,2,2],9)=>4
([4,3,2,1,1],9)=>4
([5,3,1,1,1,1],9)=>4
([4,2,2,2,1],9)=>3
([5,2,2,1,1,1],9)=>4
([5,2,1,1,1,1,1],9)=>4
([5,1,1,1,1,1,1,1],9)=>3
([3,3,3,2],9)=>3
([3,3,3,1,1],9)=>3
([3,3,2,2,1],9)=>4
([3,3,2,1,1,1],9)=>3
([4,3,1,1,1,1,1],9)=>3
([3,2,2,2,2],9)=>3
([3,2,2,2,1,1],9)=>3
([4,2,2,1,1,1,1],9)=>4
([4,2,1,1,1,1,1,1],9)=>3
([4,1,1,1,1,1,1,1,1],9)=>2
([2,2,2,2,2,1],9)=>3
([2,2,2,2,1,1,1],9)=>2
([3,2,2,1,1,1,1,1],9)=>3
([3,3,1,1,1,1,1,1,1],9)=>3
([3,2,1,1,1,1,1,1,1,1],9)=>3
([2,2,2,1,1,1,1,1,1,1,1],9)=>2
([],10)=>1
([1],10)=>2
([2],10)=>2
([1,1],10)=>2
([3],10)=>2
([2,1],10)=>3
([1,1,1],10)=>2
([4],10)=>2
([3,1],10)=>3
([2,2],10)=>2
([2,1,1],10)=>3
([1,1,1,1],10)=>2
([5],10)=>2
([4,1],10)=>3
([3,2],10)=>3
([3,1,1],10)=>3
([2,2,1],10)=>3
([2,1,1,1],10)=>3
([1,1,1,1,1],10)=>2
([6],10)=>2
([5,1],10)=>3
([4,2],10)=>3
([4,1,1],10)=>3
([3,3],10)=>2
([3,2,1],10)=>4
([3,1,1,1],10)=>3
([2,2,2],10)=>2
([2,2,1,1],10)=>3
([2,1,1,1,1],10)=>3
([1,1,1,1,1,1],10)=>2
([7],10)=>2
([6,1],10)=>3
([5,2],10)=>3
([5,1,1],10)=>3
([4,3],10)=>3
([4,2,1],10)=>4
([4,1,1,1],10)=>3
([3,3,1],10)=>3
([3,2,2],10)=>3
([3,2,1,1],10)=>4
([3,1,1,1,1],10)=>3
([2,2,2,1],10)=>3
([2,2,1,1,1],10)=>3
([2,1,1,1,1,1],10)=>3
([1,1,1,1,1,1,1],10)=>2
([8],10)=>2
([7,1],10)=>3
([6,2],10)=>3
([6,1,1],10)=>3
([5,3],10)=>3
([5,2,1],10)=>4
([5,1,1,1],10)=>3
([4,4],10)=>2
([4,3,1],10)=>4
([4,2,2],10)=>3
([4,2,1,1],10)=>4
([4,1,1,1,1],10)=>3
([3,3,2],10)=>3
([3,3,1,1],10)=>3
([3,2,2,1],10)=>4
([3,2,1,1,1],10)=>4
([3,1,1,1,1,1],10)=>3
([2,2,2,2],10)=>2
([2,2,2,1,1],10)=>3
([2,2,1,1,1,1],10)=>3
([2,1,1,1,1,1,1],10)=>3
([1,1,1,1,1,1,1,1],10)=>2
([9],10)=>1
([8,1],10)=>2
([7,2],10)=>3
([7,1,1],10)=>2
([6,3],10)=>3
([6,2,1],10)=>4
([6,1,1,1],10)=>2
([5,4],10)=>3
([5,3,1],10)=>4
([5,2,2],10)=>3
([5,2,1,1],10)=>4
([5,1,1,1,1],10)=>2
([4,4,1],10)=>3
([4,3,2],10)=>4
([4,3,1,1],10)=>4
([4,2,2,1],10)=>4
([4,2,1,1,1],10)=>4
([4,1,1,1,1,1],10)=>2
([3,3,3],10)=>2
([3,3,2,1],10)=>4
([3,3,1,1,1],10)=>3
([3,2,2,2],10)=>3
([3,2,2,1,1],10)=>4
([3,2,1,1,1,1],10)=>4
([3,1,1,1,1,1,1],10)=>2
([2,2,2,2,1],10)=>3
([2,2,2,1,1,1],10)=>3
([2,2,1,1,1,1,1],10)=>3
([2,1,1,1,1,1,1,1],10)=>2
([1,1,1,1,1,1,1,1,1],10)=>1
([10,1],10)=>2
([8,2],10)=>2
([9,1,1],10)=>3
([7,3],10)=>3
([7,2,1],10)=>3
([8,1,1,1],10)=>3
([6,4],10)=>3
([6,3,1],10)=>4
([6,2,2],10)=>3
([6,2,1,1],10)=>3
([7,1,1,1,1],10)=>3
([5,5],10)=>2
([5,4,1],10)=>4
([5,3,2],10)=>4
([5,3,1,1],10)=>4
([5,2,2,1],10)=>4
([5,2,1,1,1],10)=>3
([6,1,1,1,1,1],10)=>3
([4,4,2],10)=>3
([4,4,1,1],10)=>3
([4,3,3],10)=>3
([4,3,2,1],10)=>5
([4,3,1,1,1],10)=>4
([4,2,2,2],10)=>3
([4,2,2,1,1],10)=>4
([4,2,1,1,1,1],10)=>3
([5,1,1,1,1,1,1],10)=>3
([3,3,3,1],10)=>3
([3,3,2,2],10)=>3
([3,3,2,1,1],10)=>4
([3,3,1,1,1,1],10)=>3
([3,2,2,2,1],10)=>4
([3,2,2,1,1,1],10)=>4
([3,2,1,1,1,1,1],10)=>3
([4,1,1,1,1,1,1,1],10)=>3
([2,2,2,2,2],10)=>2
([2,2,2,2,1,1],10)=>3
([2,2,2,1,1,1,1],10)=>3
([2,2,1,1,1,1,1,1],10)=>2
([3,1,1,1,1,1,1,1,1],10)=>3
([2,1,1,1,1,1,1,1,1,1],10)=>2
([11,2],10)=>2
([10,1,1],10)=>2
([8,3],10)=>2
([9,2,1],10)=>3
([9,1,1,1],10)=>3
([7,4],10)=>3
([7,3,1],10)=>3
([7,2,2],10)=>2
([8,2,1,1],10)=>4
([8,1,1,1,1],10)=>3
([6,5],10)=>3
([6,4,1],10)=>4
([6,3,2],10)=>4
([6,3,1,1],10)=>3
([6,2,2,1],10)=>3
([7,2,1,1,1],10)=>4
([7,1,1,1,1,1],10)=>3
([5,5,1],10)=>3
([5,4,2],10)=>4
([5,4,1,1],10)=>4
([5,3,3],10)=>3
([5,3,2,1],10)=>5
([5,3,1,1,1],10)=>3
([5,2,2,2],10)=>3
([5,2,2,1,1],10)=>3
([6,2,1,1,1,1],10)=>4
([6,1,1,1,1,1,1],10)=>3
([4,4,3],10)=>3
([4,4,2,1],10)=>4
([4,4,1,1,1],10)=>3
([4,3,3,1],10)=>4
([4,3,2,2],10)=>4
([4,3,2,1,1],10)=>5
([4,3,1,1,1,1],10)=>3
([4,2,2,2,1],10)=>4
([4,2,2,1,1,1],10)=>3
([5,2,1,1,1,1,1],10)=>4
([5,1,1,1,1,1,1,1],10)=>3
([3,3,3,2],10)=>3
([3,3,3,1,1],10)=>3
([3,3,2,2,1],10)=>4
([3,3,2,1,1,1],10)=>4
([3,3,1,1,1,1,1],10)=>2
([3,2,2,2,2],10)=>3
([3,2,2,2,1,1],10)=>4
([3,2,2,1,1,1,1],10)=>3
([4,2,1,1,1,1,1,1],10)=>4
([4,1,1,1,1,1,1,1,1],10)=>3
([2,2,2,2,2,1],10)=>3
([2,2,2,2,1,1,1],10)=>3
([2,2,2,1,1,1,1,1],10)=>2
([3,2,1,1,1,1,1,1,1],10)=>3
([3,1,1,1,1,1,1,1,1,1],10)=>2
([2,2,1,1,1,1,1,1,1,1,1],10)=>2
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Description
Number of covers of a core in weak Bruhat order.
For k-cores, $\lambda$ covers $\mu$ if there exists an affine Grassmannian element $s_i$ such that the left action $s_i \cdot \mu = \lambda$.
For k-cores, $\lambda$ covers $\mu$ if there exists an affine Grassmannian element $s_i$ such that the left action $s_i \cdot \mu = \lambda$.
References
[1] Lam, T., Lapointe, L., Morse, J., Schilling, A., Shimozono, M., Zabrocki, M. $k$-Schur functions and affine Schubert calculus arXiv:1301.3569
Code
def statistic(C):
return len(C.weak_covers())
Created
May 13, 2014 at 21:21 by Patrick Bjerke
Updated
May 29, 2015 at 17:12 by Martin Rubey
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