TRUE/FALSE Values Based on Contiguous Cells (Interval)

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rkaczano

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Jul 24, 2013
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Hi I need help with a conditional logic test that spans a range of predefined contiguous cells.

I have a column of random numbers in A1:A10. In B1:B10, in each row, I do a True/False Test to see if a number is Less Then or Equal to its equivalent (i.e. B1 = IF(3 is <=A1, TRUE, FALSE). So I have a bunch of random TRUE and FALSE items in Column B.

Now in column C I want to be able to test whether my TRUE results in Column B occur consecutively over a preset interval (range of cells). For example assume I have an interval or range input set to 4. So for example in C4 I want to be able to test whether the value in B4 is TRUE AND whether it is within a 4 cell range (interval) of values that are also TRUE. Effectively I want to identify if my TRUE is part of a collection of TRUEs.

So if you see below, I want to isolate the TRUE values in column B that are part of a 4 cell range (interval) AND are TRUE. In this example it would be the range B3:B6 that is the relevant range that conforms to the interval I have set up. It is a forward looking range so B7 would be excluded from that range. So C3:C6 would be TRUE and C7 would be FALSE. I am assuming the formula in C needs to incorporate an OFFSET function incorporating the interval and/or it needs to be an Array function.

Number Test = 3
Interval = 4

A1 7; B1 TRUE; C1 FALSE
A2 1; B2 FALSE; C2 FALSE
A3 10; B3 TRUE; C3 TRUE
A4 12; B4 TRUE; C4 TRUE
A5 15; B5 TRUE; C5 TRUE
A6 16; B6 TRUE; C6 TRUE
A7 2; B7 TRUE; C7 FALSE
A8 1; B8 FALSE; C8 FALSE
A9 0; B9 TRUE; C9 FALSE
A10 1; B10 FALSE; C10 FALSE

Any ideas?

Thanks in advance
 

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No takers on this? Let me simplify. I have range of TRUE/FALSEs in column B. I want to reproduce those TRUE/FALSE in column C based on a constraint that says I can only have so many contiguous TRUEs. So for example, I can only have three TRUEs back-to-back. I want a formula in Column C that reads the raw data in Column B and makes the adjustment to the data based on the constraint I enter. Column B will have too many TRUEs. Column C will adjust (reduce) these.

I want the constraint to be a variable (input) that I can change.

Thanks again.
 
Upvote 0
See if this does what you need

1st step
Create a named constant vertical array
Formula > Names Manager > New
Name: arr
Refers to: ={-3;-2;-1;0}

2nd step
Array formula in C1 copied down
=OR(IFERROR((ROW(OFFSET(B1,N(arr),0))>=ROW(B$1))*(ROW(OFFSET(B1,N(arr),0))<=ROW(B$10)-3)*COUNTIF(OFFSET(B1,arr,0,4,1),TRUE),0)=4)
confirmed with Ctrl+Shift+Enter

M.
 
Upvote 0
Ok, more testing needed, but does this work?

=IF(B1=FALSE,FALSE,IFERROR(COUNTIFS(B1:OFFSET(B1,-4,0),TRUE)<=4,TRUE))

By the way this:

=IF(3 is <=A1, TRUE, FALSE)

Could just be this:

=3<=A1

Edit: I think I missed this part: TRUE AND whether it is within a 4 cell range (interval)
 
Last edited:
Upvote 0
A possible 2-formula solution:

ABCDEFGH
interval
FALSE

<tbody>
[TD="align: center"]1[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: right"]4[/TD]

[TD="align: center"]2[/TD]
[TD="align: right"]7[/TD]
[TD="align: right"]TRUE[/TD]

[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]3[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]4[/TD]
[TD="align: right"]10[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]5[/TD]
[TD="align: right"]12[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]2[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]6[/TD]
[TD="align: right"]15[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]3[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]7[/TD]
[TD="align: right"]16[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]4[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]8[/TD]
[TD="align: right"]2[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]9[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]10[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]FALS
E[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]11[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]12[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

</tbody>
Sheet3​

[TABLE="width: 85%"]
<tbody>[TR]
[TD]Worksheet Formulas[TABLE="width: 100%"]
<tbody>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
[TR]
[TH="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]D2[/TH]
[TD="align: left"]=IF(B2=FALSE,0,IF(D1=$H$1,0,D1+1))[/TD]
[/TR]
[TR]
[TH]E2[/TH]
[TD="align: left"]=IF(AND(B2=TRUE,MAX(OFFSET(D2,0,0,$H$1))=$H$1),TRUE)[/TD]
[/TR]
</tbody>[/TABLE]
[/TD]
[/TR]
</tbody>[/TABLE]
 
Upvote 0
For clarification, your two formula solution focuses on columns D and E. What is the formula are you using in Column C and how does this feed into Column D and E?

Thanks
 
Upvote 0
I just left in column C from your example to show that the values I generated in column E matched. Without that, it would look something like:

ABCDEF
interval
15
FALSE

<tbody>
[TD="align: center"]1[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: right"]4[/TD]

[TD="align: center"]2[/TD]
[TD="align: right"]7[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]

[TD="align: center"]3[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]4[/TD]
[TD="align: right"]10[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]5[/TD]
[TD="align: right"]12[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]2[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]6[/TD]

[TD="align: right"]TRUE[/TD]
[TD="align: right"]3[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]7[/TD]
[TD="align: right"]16[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]4[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]8[/TD]
[TD="align: right"]2[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]9[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]

[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]10[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]TRUE[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]11[/TD]
[TD="align: right"]1[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"]0[/TD]
[TD="align: right"]FALSE[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

[TD="align: center"]12[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]

</tbody>


[TABLE="width: 85%"]
<tbody>[TR]
[TD]Worksheet Formulas
[TABLE="width: 100%"]
<tbody>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
[TR]
[TH="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]C2[/TH]
[TD="align: left"]=IF(B2=FALSE,0,IF(C1=$F$1,0,C1+1))[/TD]
[/TR]
[TR]
[TH="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]D2[/TH]
[TD="align: left"]=IF(AND(B2=TRUE,MAX(OFFSET(C2,0,0,$F$1))=$F$1),TRUE)[/TD]
[/TR]
</tbody>[/TABLE]
[/TD]
[/TR]
</tbody>[/TABLE]



Note that the formulas do require an empty row above the top line. Also, you can hide column C after you put the formulas in.
 
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