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Challenge Week 5: June 11 - June 18


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#1 Fang

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Posted 11 June 2012 - 10:37 PM

It's challenge time! This week's task is a fun one.


For a specified integer x , find the number of positive integers with binary representations, between 2 and 8 digits, that occur in the binary representation of x.

e.g. 1110 =  10112
The combinations that occur are as follows: 1011, 101, 10, 11. So for the number 15, you should find 4 integers.

2210 = 101102
The combinations that occur are as follows: 10110,1011,101,10,11,110. So for the number 22, you should find 6 integers.

56010 = 10001100002
The combinations that occur are as follows:  10001100, 1000110, 100011, 10001, 1000, 100, 10, 11, 110000, 11000, 1100, 10000, 110. So for the number 560, you should find 13 integers.


Remember, 2 to 8 digits. So 1 and 0 don't count, and neither do integers of more than 8 bits. x can take a value up to 65536.

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#2 Erocs

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Posted 12 June 2012 - 09:41 PM

View PostFang, on 11 June 2012 - 10:37 PM, said:

For a specified integer x , find the number of positive integers with binary representations, between 2 and 8 digits, that occur in the binary representation of x.

56010 = 10001100002
The combinations that occur are as follows: 1000110000, 100011000, 10001100, 1000110, 100011, 10001, 1000, 100, 10, 11, 110000, 11000, 1100, 110. So for the number 560, you should find 14 integers.

Remember, 2 to 8 digits. So 1 and 0 don't count, and neither do integers of more than 8 bits. x can take a value up to 65536.

Did you mean to include 1000110000 and 100011000? They contain more than 8 binary digits.  :)

#3 Fang

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Posted 13 June 2012 - 05:25 AM

View PostErocs, on 12 June 2012 - 09:41 PM, said:

Did you mean to include 1000110000 and 100011000? They contain more than 8 binary digits.  :)

Good catch. Nope, I didn't mean to include them. I've fixed the above.

#4 Erocs

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Posted 14 June 2012 - 05:02 AM

Just a couple more things. 10112 == 1110 not 1510. For 56010, you missed the 10000 pattern so there are 13 values.

Also, I was playing around and submitted my answer as private. Now I can't find a way to make it public again, lol.

#5 Fang

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Posted 14 June 2012 - 07:50 AM

Well that's embarrassing. I've fixed them again, thanks!

If on the code page, you click "Edit" it will take you to the edit page. Here click "Save Edit" and in the dropdown panel uncheck the box which says Draft/Private?

#6 Erocs

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Posted 14 June 2012 - 04:30 PM

Ahh thanks, I was thinking that it would be on the Settings page so I never clicked save to once again see the submit settings page. :D

#7 pemPeendy

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Posted 03 June 2013 - 11:58 PM

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#8 pemPeendy

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Posted 03 June 2013 - 11:58 PM

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#9 pemPeendy

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Posted 03 June 2013 - 11:59 PM

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#10 pemPeendy

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Posted 03 June 2013 - 11:59 PM

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#11 pemPeendy

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Posted 04 June 2013 - 12:00 AM

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#12 pemPeendy

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Posted 04 June 2013 - 12:00 AM

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#13 pemPeendy

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Posted 04 June 2013 - 12:01 AM

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#14 pemPeendy

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Posted 04 June 2013 - 12:01 AM

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May rely on often the numbers. A lot of designers, these us Mentor, use a string of serial numbers individual items. The main is always that Coach may be inconsistent when using the numbers. コーチ バッグ メンズ,It could be the possibility that 2 handbags have exactly the same serial numbers. So , in terms of determining authenticity, all these codes aren't reliable adequate.
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#15 pemPeendy

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Posted 04 June 2013 - 12:02 AM

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May rely on the particular numbers. Quite a few designers, such us Discipline, use a string of serial numbers on their solutions. The is the fact Coach is usually inconsistent with all the figures. http://www.ryuukoucoach.com/,It may be a possibility that two handbags have a similar a string of serial numbers. Therefore , with regard to discovering authenticity, these kind of codes are definitely not reliable sufficient.
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#16 pemPeendy

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Posted 04 June 2013 - 12:03 AM

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#17 pemPeendy

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Posted 04 June 2013 - 12:03 AM

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Sign up for tryouts. Hopefully, which has a little chance and conviction, you'll get the eye of the interested college basketball coach. Now is your chance! When you have been recently invited to test out for a college hockey group (or two), avoid look back again. コーチ 財布 新作,Throw your head, body and also soul into displaying your best knowledge and techniques about the college basketball court when you try for that team. http://www.coachfactorysite.com/,Competition will be competitive, so it's important that you never let your officer down. It is also essential that you preserve a professional, a great attitude while you are within the tryouts. Your own coaches need to as you equally as much as they like your basketballplaying possibilities.

May rely on often the numbers. A lot of designers, this kind of us Instructor, use serial numbers very own merchandise. The is Coach may be inconsistent when using the amounts. http://www.ryuukoucoach.com/,It can be the possibility that a couple of handbags have a similar serial numbers. Therefore regarding figuring out authenticity, all these codes aren't going to be reliable adequate.
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#18 pemPeendy

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Posted 04 June 2013 - 12:04 AM

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Enroll in tryouts. Hopefully, having a little chance and determination, you'll catch the eye of interested school basketball trainer. Now's your possibility! Upon having also been invited to experience to get a college baseball workforce (or two), don't look again. コーチ 長財布,Throw your entire imagination, body along with soul into displaying your best abilities and techniques around the college field hockey court because you try for your crew. コーチ バッグ メンズ,Competition will likely be competitive, it's the same important that you never ever let your officer down. It is . essential that you keep a competent, likeable attitude while you're with the tryouts. Your own coaches have to just like you the maximum amount of while they like your basketballplaying abilities.

Avoid rely on the particular numbers. A lot of designers, this kind of us Discipline, use a string of serial numbers individual goods. The difference is the fact Coach is usually inconsistent when using the amounts. コーチ アウトレット,It usually is the possibility that a couple of handbags have the identical a string of serial numbers. Therefore , regarding identifying authenticity, these types of codes aren't going to be reliable ample.
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#19 pemPeendy

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Posted 04 June 2013 - 12:04 AM

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Show up at tryouts. With any luck ,, having a little good luck and determination, you'll find the eye of an interested higher education basketball discipline. Now could be your likelihood! When you have also been invited to test for the college hockey crew (or two), avoid look again. コーチ 長財布,Throw your entire brain, body along with soul into featuring your best expertise and techniques around the college baseball court because you experiment with to the crew. http://www.coachfactorysite.com/,Competition are going to be tough, so it is important that you in no way let your shield down. It's also important that you maintain a professional, likeable attitude if you are at the tryouts. Your own coaches need to as you the maximum amount of as they the basketballplaying possibilities.

Don't rely on the particular numbers. Several designers, this sort of us Instructor, use a string of serial numbers on their solutions. The main is that Coach might be inconsistent with all the00 quantities. http://www.ryuukoucoach.com/,It can be plausible that a couple of handbags have exactly the same a string of serial numbers. Therefore , when it comes to identifying authenticity, these kinds of codes are generally not reliable sufficient.
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#20 pemPeendy

pemPeendy

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Posted 04 June 2013 - 12:05 AM

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