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Splitting a list into two lists each containing a range of elements from the initial one


If I had a list of let's say 20 elements, how could I split it into two separate lists that contain every other 5 elements of the initial list?


For example:


list={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
function[list]
(*

{1,2,3,4,5,11,12,13,14,15}
{6,7,8,9,10,16,17,18,19,20}
*)

Follow-up question:


Thanks to the numerous answers! Is there a way to revert this process? Say we start from two lists and I would like to end up with the listabove:


list1={1,2,3,4,5,11,12,13,14,15}
list2={6,7,8,9,10,16,17,18,19,20}
function[list1,list2]
(*

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
*)

Answer



ClearAll[f1, f2]
f1[lst_, k_] := Join @@ Partition[lst[[# ;;]], k, 2 k, 1, {}] & /@ {1, k + 1}

{list1, list2} = f1[list, 5]


{{1, 2, 3, 4, 5, 11, 12, 13, 14, 15},

{6, 7, 8, 9, 10, 16, 17, 18, 19, 20}}



An alternative way using the (still undocumented) 6th argument of Partition:


ClearAll[f1, f2]
f2[lst_, k_] := Partition[Drop[lst, #], k, 2 k, 1, {}, Sequence] & /@ {0, k}

{list1, list2} = f2[list, 5]


{{1, 2, 3, 4, 5, 11, 12, 13, 14, 15},

{6, 7, 8, 9, 10, 16, 17, 18, 19, 20}}



Update: To revert the process:


ClearAll[fb]
fb[lst1_, lst2_, k_] := Join @@ Riffle @@ (Partition[#, k, k, 1, {}] & /@ {lst1, lst2})

fb[list1, list2, 5]


{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}




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