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greatest number of numbers that sums to n

Hi.  I am trying to make a program that takes in a list box (lets call it list1) with a bunch of items in it that have a numerical value.  Next, I have 4 other numbers in a different list.  The point of this is to take a number from the list2 and display all the possibilities in which when you sum up that first card with any number of cards from list1, the total is exactly 11.

Can anyone make me a function that does this? Thank you.
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cachedVB
1 Solution

RetiredCommented:
This creates two string arrays.
Indices will show the combination in terms of the list positions of the parts, e.g. "1, 3 ,4"
Values shows the component parts including the number from list2 e.g. "1 + 5 + 5"

Private Sub GetCombinations(List2Number as integer)
Dim Indices() As String
Dim Values() As String
Dim CombinationCount As Integer
Dim Total As Integer
Dim i As Integer
Dim j As Integer
Dim Value As String
Dim Index As String

For i = 1 To (2 ^ List1.ListCount)
Value = List2Number
Index = ""
Total = List2Number
For j = 0 To List1.ListCount - 1
If 2 ^ j And i Then
Total = Total + List1.List(j)
Index = Index & IIf(Index = "", "", ", ") & j
Value = Value & " + " & List1.List(j)
End If
Next j
If Total = 11 Then
ReDim Preserve Indices(CombinationCount)
ReDim Preserve Values(CombinationCount)
Indices(CombinationCount) = Index
Values(CombinationCount) = Value
CombinationCount = CombinationCount + 1
End If
Next i
End Sub
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Author Commented:
Thanks! Just what I wanted... although I had to tweak it a bit to find the longest one. :)
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