Count where a sequence of 3 trues occur

[GorD]

Based on this data, how would i find how many groups of 3 consecutive ones I have - so in this example the answer would be 1.

The data is in a single row 28 cells

1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1

 

[pgc01]

Hi

Can you clarify?

With the example, how may groups?

1 - 2 groups, positions (2-5) and (8-10)

or

2 - 3 groups, positions (2-4), (3-5) and (8-10)

?

<table border="1" cellpadding="1" style="background:#FFF; border-collapse:collapse;border-width:2px;border-color:#CCCCCC;font-family:Arial,Arial; font-size:10pt" ><tr><th style="border-width:1px;border-color:#888888;background:#9CF " > </th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >A</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >B</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >C</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >D</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >E</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >F</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >G</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >H</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >I</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >J</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >K</th></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>1</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">2</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">3</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">4</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">5</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">6</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">7</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">8</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">9</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">10</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>2</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>3</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td colspan=12 style="background:#9CF; padding-left:1em" > [Book1]Sheet1</td></tr></table>

 

[Domenic]

Is this what you mean?

=SUM(IF(FREQUENCY(IF(A2:AB2=1,COLUMN(A2:AB2)),IF(A2:AB2<>1,COLUMN(A2:AB2)))=3,1))

...confirmed with CONTROL+SHIFT+ENTER. Note, however, if you'd like to count the number of times 3 or more consecutive 1's occur, replace...

=3

with

>=3

 

[GorD]

I'm looking for how mant times 3 consecutive 1's appear. In this example result 20,21,22 are all showing as 1 ( or true) so there is one time in this sequence of 28 that 3 consecutive ones appear.


Sorry, i'm not following your question

 

[Peter_SSs]

Sorry, i'm not following your question

In pgc's sample, cells B2:E2 is a block of 4 1's. What he trying to determine is ..

Does this count as one block (B2:E2) or does it count as two blocks (B2:D2 being one block of 3 and cells C2:E2 being a second block of 3 cells)?

 

[Marcelo Branco]

Is this what you mean?

=SUM(IF(FREQUENCY(IF(A2:AB2=1,COLUMN(A2:AB2)),IF(A2:AB2<>1,COLUMN(A2:AB2)))=3,1))

...confirmed with CONTROL+SHIFT+ENTER. Note, however, if you'd like to count the number of times 3 or more consecutive 1's occur, replace...

=3

with

>=3

Domenic,

Beautiful formula!!!

I was wondering if when we have four consecutives "1" if we should count this as two sequences of 3 consecutives "1".
1 1 1 1
1 1 1 1

If we have 5, three sequences. 6, 4 sequences, and so on.

In this case, i think, your formula could be adjusted to

=SUM(IF(FREQUENCY(IF(A2:AB2=1,COLUMN(A2:AB2)),IF
(A2:AB2<>1,COLUMN(A2:AB2)))>=3,FREQUENCY(IF(A2:AB2=1,COLUMN(A2:AB2)),IF(A2:AB2<>1,COLUMN(A2:AB2)))-2))
Ctrl+Shift+Enter

Of course this depends on the actual user need. Just speculating ...

M.

 

[GorD]

In pgc's sample, cells B2:E2 is a block of 4 1's. What he trying to determine is ..

Does this count as one block (B2:E2) or does it count as two blocks (B2:D2 being one block of 3 and cells C2:E2 being a second block of 3 cells)?

Ah I see, there can only ever be 3 1's as they relate to days at a weekend - I have a sumproduct formula that is trying to determining how many times in a 28 day period someone gets the full weekend off ( Fri to Sun)

This is what i have, but it is counting the total days not worked at a weekend, rather than a complete group of 3

=SUMPRODUCT(--(WEEKDAY($B$2:$AC$2,2)>4),--(B6:AC6=""))

I should have explained earlier, but thought i was close to a soloution - perhaps not

 

[Peter_SSs]

So, does Domenis's formula do what you want?

 

[GorD]

I just somehow need to merge the two together

I'm not quite there yet.

Thanks for the formula Domenic

 

[Domenic]

I just somehow need to merge the two together

I'm not quite there yet.

Thanks for the formula Domenic

I this what you mean?

=SUM(IF(FREQUENCY(IF(WEEKDAY($B$2:$AC$2,2)>4,IF(B6:AC6="",COLUMN(B6:AC6))),IF(WEEKDAY($B$2:$AC$2,2)<=4,COLUMN(B6:AC6)))=3,1))

...confirmed with CONTROL+SHIFT+ENTER.