Addition function of multiple cells

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Åke

See:

http://www.tushar-mehta.com/excel/te...ues/index.html

--
Gary''s Student - gsnu201003


"DB74" wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Thanks,

When I copied the formula (all in 1 row), it indicates the formula is not
valid and highlights the first OFFSET in the formula.

"Lars-Ã…ke Aspelin" wrote:

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Ã…ke
.

Which version of Excel do you have?
I tested the formula with your example in Excel 2007 with expected
result.

Lars-Åke


On Tue, 25 May 2010 13:11:01 -0700, DB74
wrote:

Thanks,

When I copied the formula (all in 1 row), it indicates the formula is not
valid and highlights the first OFFSET in the formula.

"Lars-Åke Aspelin" wrote:

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Åke
.

I am using 2003... would that make a difference?

"Lars-Ã…ke Aspelin" wrote:

Which version of Excel do you have?
I tested the formula with your example in Excel 2007 with expected
result.

Lars-Ã…ke


On Tue, 25 May 2010 13:11:01 -0700, DB74
wrote:

Thanks,

When I copied the formula (all in 1 row), it indicates the formula is not
valid and highlights the first OFFSET in the formula.

"Lars-Ã…ke Aspelin" wrote:

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Ã…ke
.


.

I don't think so, but I have only tested the formula in Excel 2007, so
I am not sure.

Lars-Åke

On Thu, 27 May 2010 13:13:28 -0700, DB74
wrote:

I am using 2003... would that make a difference?

"Lars-Åke Aspelin" wrote:

Which version of Excel do you have?
I tested the formula with your example in Excel 2007 with expected
result.

Lars-Åke


On Tue, 25 May 2010 13:11:01 -0700, DB74
wrote:

Thanks,

When I copied the formula (all in 1 row), it indicates the formula is not
valid and highlights the first OFFSET in the formula.

"Lars-Åke Aspelin" wrote:

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Åke
.


.

DB74

you can use Tom Hutchins code, i already try and succeed...
@ Tom, hope its ok if i give this code to others... thanks tom
you can read in this link
http://www.microsoft.com/communities...=en-us&m=1&p=1


To run the macro, select the range of 4 numbers (A1-A4). Then press Alt-F8
to bring up a list of available macros. Select Knapsack OK. The macro will
prompt you for a target number. Enter 6 and click OK.

'Global variables for Knapsack
Public Type RngType
Nbr As Double 'Number in cell
Addr As String 'Address of cell
End Type
Public Cellz() As RngType, Targett As Double
Public Kount As Currency, RngCnt As Long, strTarget As String
Public Soln() As RngType, SolnCnt As Long
Public SolnNbr As Long, SolnRow As Long

Sub Knapsack()
'Calls function KS to find combinations of values
'within the selection that total the target number.
'Current LIMITS: only finds target numbers which
'are positive numbers; can find multiple solutions,
'but not necessarily every possible solution. Also,
'if the target is the sum of the only two numbers in the
'selection which are smaller than the target, it may not
'find the solution.
Dim c As Range, aa As Long, bb As Long, msg101 As String
Dim Temp() As RngType, NegFlag As Boolean, BigFlag As Boolean
On Error GoTo KSerr1
'Check if the selected range has 2 cells.
If Selection.Count 3 Then
MsgBox "You must select more than 2 cells", , "Are you kidding?"
Exit Sub
End If
'Get the target number from the user.
strTarget$ = InputBox("Enter the target amount")
If Len(strTarget$) = 0 Then Exit Sub
Targett# = CDbl(strTarget$)
'Load range to be checked into Cellz array.
'Store the address & value from each cell in the selected range.
RngCnt& = -1
For Each c In Selection
RngCnt& = RngCnt& + 1
ReDim Preserve Temp(RngCnt&)
Temp(RngCnt&).Addr = c.Address
Temp(RngCnt&).Nbr = c.Value
Next c
'Add one more dummy element to Cellz() to make sure last cell gets tested.
RngCnt& = RngCnt& + 1
ReDim Preserve Cellz(RngCnt&)
Cellz(RngCnt&).Addr = Cellz(RngCnt& - 1).Addr
Cellz(RngCnt&).Nbr = 0
'See if there are any negative numbers or numbers larger than Targett# in
Temp().
BigFlag = False
NegFlag = False
For aa& = 0 To (RngCnt& - 1)
If Temp(aa&).Nbr 0 Then
NegFlag = True
ElseIf Temp(aa&).Nbr Targett# Then
BigFlag = True
End If
Next aa&
'If both NegFlag and BigFlag are True (or False),
'copy all elements of Temp() to Cellz(). If Negflag is False but
'BigFlag is True, copy only elements that are smaller than Targett#.
bb& = RngCnt& - 1
RngCnt& = -1
For aa& = 0 To bb&
If (BigFlag = True) And (NegFlag = False) Then
If (Temp(aa&).Nbr = Targett#) And (Temp(aa&).Nbr 0) Then
RngCnt& = RngCnt& + 1
ReDim Preserve Cellz(RngCnt&)
Cellz(RngCnt&).Addr = Temp(aa&).Addr
Cellz(RngCnt&).Nbr = Temp(aa&).Nbr
End If
Else
If Temp(aa&).Nbr 0 Then
RngCnt& = RngCnt& + 1
ReDim Preserve Cellz(RngCnt&)
Cellz(RngCnt&).Addr = Temp(aa&).Addr
Cellz(RngCnt&).Nbr = Temp(aa&).Nbr
End If
End If
Next aa&
'Add one more dummy element to Cellz() to make sure last cell gets tested.
RngCnt& = RngCnt& + 1
ReDim Preserve Cellz(RngCnt&)
Cellz(RngCnt&).Addr = Temp(RngCnt& - 1).Addr
Cellz(RngCnt&).Nbr = 0
'Set Kount@ and SolnNbr& to zero.
Kount@ = 0
SolnNbr& = 0
'First call to KS() starts the chain of recursive calls. The For..Next
'loop starts a new chain every time the previous chain returns a solution
'or False (no solution). Each new chain starts one element farther in
'Cellz(), to ensure that a different solution, if any, will be found.
'However, this means that the first element in Cellz() can only be in 1
'solution, the 2nd element can only be in 2 solutions, etc. So, we are
'still not finding every possible solution.
For bb& = 0 To (RngCnt& - 1)
SolnCnt& = -1
If KS(Cellz(bb&).Nbr, bb& + 1) Then
SolnNbr& = SolnNbr& + 1
SolnCnt& = SolnCnt& + 1
ReDim Preserve Soln(SolnCnt&)
Soln(SolnCnt&).Addr = Cellz(bb&).Addr
Soln(SolnCnt&).Nbr = Cellz(bb&).Nbr
'Add a new worksheet to the current workbook at the end.
If SolnNbr& = 1 Then
Worksheets.Add.Move After:=Worksheets(Worksheets.Count)
SolnRow& = 1
Else
'Find the last row with data in column A.
Cells(65535, 1).Select
Selection.End(xlUp).Select
Selection.Offset(4, 0).Select
SolnRow& = Selection.Row
End If
'Stop before hitting the last row of the worksheet & abending.
If (SolnCnt& + SolnRow&) Rows.Count Then
MsgBox "Can't fit all the solutions on the sheet", , "Error"
Exit Sub
End If
'List the elements in Soln(), which make up the solution.
For aa& = 1 To SolnCnt&
ActiveSheet.Cells(aa& + SolnRow& + 2, 1).Value = Soln(aa&).Addr
ActiveSheet.Cells(aa& + SolnRow& + 2, 2).Value = Soln(aa&).Nbr
'Add some headings also.
Cells(SolnRow&, 1).Value = Targett#
Cells(SolnRow&, 2).Value = " = Target"
Cells(SolnRow& + 2, 1).Value = "Cell"
Cells(SolnRow& + 2, 2).Value = "Value"
Next aa&
End If
'Clear the array before the next iteration.
ReDim Soln(0)
Next bb&
'Find the last row with data in column A. 4 rows down, summarize the results.
If SolnNbr& 0 Then
Cells(65535, 1).Select
Selection.End(xlUp).Select
Selection.Offset(4, 0).Select
Selection.Value = SolnNbr& & _
" solutions were found. KS function was called " & Kount@ & " times."
End If
'Tell user we are done. Summarize results.
MsgBox SolnNbr& & _
" solutions were found. KS function was called " & Kount@ & " times.", ,
"Done!"
Exit Sub
KSerr1:
If Err.Number 0 Then
msg101$ = "Error # " & Str(Err.Number) & " was generated by " _
& Err.Source & Chr(13) & Err.Description
MsgBox msg101$, , "Knapsack error", Err.HelpFile, Err.HelpContext
End If
End Sub

Public Function KS(yy As Double, xx As Long) As Boolean
'My own recursive AND iterative algorithm for the classic
'knapsack programming problem. yy& is the cumulative total
'tested against the target number in this call, and passed
'to the next call increased by the next element of Cellz().
Dim nn As Long
'Call DoEvents so the screen can refresh, etc.
DoEvents
'Add 1 to Kount every time function is called.
Kount@ = Kount@ + 1
'Start a loop to test all remaining values of Cellz[xx]
'from this point in the solution chain.
nn& = xx&
Do While nn& = RngCnt&
If (yy# = Targett#) Then
'Found a solution in this call! Increase Soln() and save info
'about the last element of Cellz() that was tried (nn&, which
'should always be the same as xx& at this point in the function).
SolnCnt& = SolnCnt& + 1
ReDim Preserve Soln(SolnCnt&)
Soln(SolnCnt&).Addr = Cellz(nn&).Addr
Soln(SolnCnt&).Nbr = Cellz(nn&).Nbr
'Return True to the calling function.
KS = True
Exit Function
ElseIf (yy# Targett#) Then
'yy& in this call exceeds the target number. Return False to the
'calling function.
KS = False
Exit Function
'yy& is still less than the target number. Call KS() again, adding
'the next element in Cellz() to yy&
ElseIf (KS(yy# + Cellz(nn&).Nbr, nn& + 1)) Then
'The call to another element of Cellz() found a successful chain.
'Info about that element of Cellz() has already been saved in Soln().
'Now increase Soln() and store information about the Cellz() element
'in this call that is one link earlier in the solution chain.
SolnCnt& = SolnCnt& + 1
ReDim Preserve Soln(SolnCnt&)
Soln(SolnCnt&).Addr = Cellz(nn&).Addr
Soln(SolnCnt&).Nbr = Cellz(nn&).Nbr
'Return True to the calling function.
KS = True
Exit Function
End If
nn& = nn& + 1
Loop
KS = False
End Function

Put the code in a general VBA module in your workbook. If you are
new to macros, this link to Jon Peltier's site may be helpful:
http://peltiertech.com/WordPress/200...e-elses-macro/

Some of the lines may wrap from being posted in the forum. The visiual basic
editor will color these red until you fix (unwrap) them.






"DB74" wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

I tried the formula in 07 and it worked and then saved the file and tried to
open it in 03. I received a msg indicating the formula had too many nested
statements for 03. Any chance you can modify the formula so that it does not
have more than the max of 7 nested statements?

Thanks.

"Lars-Ã…ke Aspelin" wrote:

I don't think so, but I have only tested the formula in Excel 2007, so
I am not sure.

Lars-Ã…ke

On Thu, 27 May 2010 13:13:28 -0700, DB74
wrote:

I am using 2003... would that make a difference?

"Lars-Ã…ke Aspelin" wrote:

Which version of Excel do you have?
I tested the formula with your example in Excel 2007 with expected
result.

Lars-Ã…ke


On Tue, 25 May 2010 13:11:01 -0700, DB74
wrote:

Thanks,

When I copied the formula (all in 1 row), it indicates the formula is not
valid and highlights the first OFFSET in the formula.

"Lars-Ã…ke Aspelin" wrote:

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Ã…ke
.


.


.

If you can accept "1" and "0" instead of "X" and "blank"
(you can always have this in a hidden helper column and translate "1"
to "X" and "0" to "blank" with a second formula) try this formula that
is limited to 7 levels of nesting:

=MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(ROW(A$1:A$15),C$2),COLUMN(OFFSET(A$1,, ,,C$2)),1),OFFSET(A$1,,,C$2,1))=C$1,0),C$2),ROW(), 1)

Note that it is no longer sufficient to just change cell C2 to reflect
a changed number of numbers in the A column.
You also have to manually modify the formula to suit the number of
numbers that you have.
In the formula above, replace the 15 with 2^n-1 where n is the number
of numbers.

Hope this helps / Lars-Åke

On Fri, 28 May 2010 11:56:06 -0700, DB74
wrote:

I tried the formula in 07 and it worked and then saved the file and tried to
open it in 03. I received a msg indicating the formula had too many nested
statements for 03. Any chance you can modify the formula so that it does not
have more than the max of 7 nested statements?

Thanks.

"Lars-Åke Aspelin" wrote:

I don't think so, but I have only tested the formula in Excel 2007, so
I am not sure.

Lars-Åke

On Thu, 27 May 2010 13:13:28 -0700, DB74
wrote:

I am using 2003... would that make a difference?

"Lars-Åke Aspelin" wrote:

Which version of Excel do you have?
I tested the formula with your example in Excel 2007 with expected
result.

Lars-Åke


On Tue, 25 May 2010 13:11:01 -0700, DB74
wrote:

Thanks,

When I copied the formula (all in 1 row), it indicates the formula is not
valid and highlights the first OFFSET in the formula.

"Lars-Åke Aspelin" wrote:

On Tue, 25 May 2010 11:11:01 -0700, DB74
wrote:

Does anyone know if there is a function that will take a list of numbers in
different cells and run various addition combinations on the list to detemine
which cells will add to a specific number? For example:

A1 = 1
A2 = 2
A3 = 5
A4 = 7

I want to know which cells added to gether will give me 6...answer = A1 + A3

Put the specific number, in you example 6, in cell C1.
Put the number of numbers, in your example 4, in cell C2.

Then type the following formula, all in one row, in cell B1

=IF(MID(DEC2BIN(MATCH(TRUE,MMULT(--MID(DEC2BIN(
ROW(OFFSET(A$1,,,2^C$2-1)),C$2),COLUMN(OFFSET(A$1,,,,C$2)),1),
(OFFSET(A$1,,,C$2,1)))=C$1,0),C$2),ROW(),1)="1","X ","")

Copy the formula in cell B1 down as far as you have numbers in column
A, ie to cell B4 in your example.

The result will be an "X" beside all the numbers to add to get the
specific number. In cell B1 and B3 in your example.
If there is no possible combination of numbers that will add up to the
specific number, you will get #N/A besides all numbers.

Note that there might be more than one possible combination of numbers
that solves the problem, this way you will only be given at most one
combination.

Hope this helps / Lars-Åke
.


.


.