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Multi select elements which sums upto a certain number from an array

 
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Give an array and a certain number,how to select some of the elements to sums upto the number?
The following codes can bring you one or more solutions out:
  1. SubSolve(ByValTotalAsDouble,ByRefData,OptionalByValfirstsolutionAsBoolean=True)'Getthefirst(orallifthe3rdparamisfalse)combintaionswhichhasasumasTotal
  2. DimFitAsBoolean,CountAsLong,Result()AsString,Used()AsByte,nAsLong,TempAsDouble'Defines
  3. n=UBound(Data)'Countofnumbers-1
  4. ReDimUsed(n)
  5. Do
  6. Fit=False'Initialize
  7. Do
  8. Fori=0Ton
  9. Used(i)=1-Used(i)'UsedorNotused.
  10. IfUsed(i)=1ThenExitFor
  11. Next
  12. Ifi>nThenExitDo'Nothingwasfound
  13. Temp=0
  14. Fori=0Ton
  15. IfUsed(i)=1ThenTemp=Temp+Data(i)'Getthesumofuseddata
  16. Next
  17. IfAbs(Temp-Total)<0.01Then'besame
  18. Fit=True'Asolutionhasbeenfound.
  19. ExitDo'Quitawhile.
  20. EndIf
  21. Loop
  22. IfFitThen'Returnthesolutionfoundjustnow.
  23. Count=Count+1'Solutioncount
  24. ReDimPreserveResult(1ToCount)'Returnthesolutionasanarray.
  25. Fori=0Ton
  26. IfUsed(i)=1ThenResult(Count)=Result(Count)&"+"&Data(i)'Theexpressionofthesolution.
  27. Next
  28. Result(Count)="Solution"&Count&":"&Total&"="&Mid(Result(Count),2)'messageofsolution
  29. Debug.PrintResult(Count)'Outputtoimmediatewindow.
  30. Iffirstsolution=TrueThenMsgBox"1solutionhasbeenfound!!!":ExitSub'Needthefirstsolutiononly.
  31. EndIf
  32. LoopWhileFit
  33. MsgBoxIIf(Count>1,Count&"solutionshave",IIf(Count=0,"No",1)&"solutionhas")&"beenfound!!!"'Threeoptionsoftheresult:0,1ormany
  34. EndSub
  35. SubGetit()'Findcombinationsofanarraywhichsumsupto1839.1
  36. Solve1839.31,Array(466.89,480.49,281.06,13.61,70.59,174.86,313.82,374.66,281.5,48.95,262.86,300.33,248.56,184.4,442.91,378.47,196.49,150.7,162.87,307.73,64.97,132.79,480.06,361.54,240.13)
  37. EndSub

It returns:

Solution1: 1839.31=13.61+70.59+174.86+313.82+248.56+442.91+378.47+196.49

If we change the codes as the following:

  1. SubGetit()'Findcombinationsofanarraywhichsumsupto1839.1
  2. Solve1839.31,Array(466.89,480.49,281.06,13.61,70.59,174.86,313.82,374.66,281.5,48.95,262.86,300.33,248.56,184.4,442.91,378.47,196.49,150.7,162.87,307.73,64.97,132.79,480.06,361.54,240.13),False
  3. EndSub

We'll get 29 solutions as the following:

Solution1: 1839.31=13.61+70.59+174.86+313.82+248.56+442.91+378.47+196.49
Solution2: 1839.31=466.89+281.06+13.61+70.59+281.5+378.47+196.49+150.7
Solution3: 1839.31=480.49+13.61+70.59+174.86+262.86+378.47+150.7+307.73
Solution4: 1839.31=281.06+13.61+70.59+174.86+313.82+281.5+48.95+196.49+150.7+307.73
Solution5: 1839.31=466.89+480.49+48.95+184.4+442.91+150.7+64.97
Solution6: 1839.31=480.49+13.61+174.86+313.82+281.5+196.49+150.7+162.87+64.97
Solution7: 1839.31=13.61+374.66+300.33+184.4+442.91+150.7+307.73+64.97
Solution8: 1839.31=13.61+313.82+48.95+300.33+248.56+378.47+162.87+307.73+64.97
Solution9: 1839.31=480.49+70.59+281.5+48.95+262.86+248.56+150.7+162.87+132.79
Solution10: 1839.31=281.06+13.61+70.59+281.5+300.33+184.4+196.49+150.7+162.87+64.97+132.79
Solution11: 1839.31=281.06+262.86+248.56+378.47+162.87+307.73+64.97+132.79
Solution12: 1839.31=466.89+70.59+174.86+48.95+262.86+184.4+150.7+480.06
Solution13: 1839.31=281.06+13.61+70.59+281.5+300.33+196.49+150.7+64.97+480.06
Solution14: 1839.31=281.06+13.61+174.86+262.86+300.33+248.56+196.49+361.54
Solution15: 1839.31=281.06+13.61+174.86+313.82+248.56+184.4+196.49+64.97+361.54
Solution16: 1839.31=70.59+174.86+281.5+48.95+378.47+150.7+307.73+64.97+361.54
Solution17: 1839.31=13.61+70.59+442.91+162.87+307.73+480.06+361.54
Solution18: 1839.31=70.59+48.95+300.33+248.56+196.49+132.79+480.06+361.54
Solution19: 1839.31=466.89+281.06+70.59+174.86+442.91+162.87+240.13
Solution20: 1839.31=374.66+281.5+248.56+184.4+196.49+150.7+162.87+240.13
Solution21: 1839.31=281.06+13.61+174.86+374.66+262.86+184.4+307.73+240.13
Solution22: 1839.31=466.89+70.59+174.86+48.95+262.86+196.49+150.7+162.87+64.97+240.13
Solution23: 1839.31=281.06+374.66+281.5+378.47+150.7+132.79+240.13
Solution24: 1839.31=70.59+374.66+48.95+184.4+307.73+132.79+480.06+240.13
Solution25: 1839.31=281.06+13.61+174.86+48.95+248.56+162.87+307.73+361.54+240.13
Solution26: 1839.31=480.49+13.61+70.59+174.86+300.33+64.97+132.79+361.54+240.13
Solution27: 1839.31=13.61+281.5+48.95+262.86+248.56+184.4+64.97+132.79+361.54+240.13
Solution28: 1839.31=313.82+262.86+300.33+162.87+64.97+132.79+361.54+240.13
Solution29: 1839.31=281.06+70.59+374.66+150.7+162.87+64.97+132.79+361.54+240.13

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