TWCP OTD (The Who Cares Puzzle Of The Day) - 24th of January, 2017

[Mark_Wallace]

That's taking digits into account, though, but, numerically, eleven isn't one twice, for example; it's eleven (which becomes obvious with any base other than 10). Either zero or one would have to be the absolute top, in real-world usage: 0. Unlike any other number, any amount of zeroes = zero, so finance, decimal fractions, etc, will rack up huge amounts of the non-existent buggers. 1. Everything (that grokels use) starts from 1, so it is therefore highly used because it's always there, even if [2 ... 99] aren't.  And, language-wise, expressions like "Oh, just one more thing..." are used a gajillion times more often than "Oh, just [2 ... 99] more things...". Someone must have done a study on this! It's way more interesting and useful than a huge amount of "research" I hear about. (i.e. it's a tiny bit useful and interesting)

I wanna be a eunuchs developer! Pass me a bread knife!

[Mark_Wallace]

Damn! I glanced at your OP too quickly, obviously, and completely misread it. Why do pressures of work always have to get in the way of really useful stuff, like talking bollocks in the Lounge!?!

I wanna be a eunuchs developer! Pass me a bread knife!

[Munchies_Matt]

1

[Mike Hankey]

13 being the less frequent because I don;t like it and my girlfriend says it makes her butt look big.

New version: WinHeist Version 2.2.2 Beta
I told my psychiatrist that I was hearing voices in my head. He said you don't have a psychiatrist!

[TonyManso]

Being as this is the "Who Cares Puzzle Of The Day", wouldn't the best answer be... "WHO CARES?" Just saying. :doh:

[Richard Deeming]

Sod it - my brain is too knackered to work this out. Time to cheat! :D

Enumerable.Range(1, 1000)
.SelectMany(i => i.ToString())
.GroupBy(d => d, (Digit, items) => new { Digit, Count = items.Count() })
.Dump();

Digit | Count

1 | 301
2 | 300
3 | 300
4 | 300
5 | 300
6 | 300
7 | 300
8 | 300
9 | 300
0 | 192

---

"These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

[TheGreatAndPowerfulOz]

0 is the least used 1 is the most used

#SupportHeForShe Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun

[TheGreatAndPowerfulOz]

0

#SupportHeForShe Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun

[imzhangqin]

000 001 ... 009 010 011 ... 019 ... 990 001 ... 999 so, from 000 ~ 999, all digit are equal. But, remove leading '0', '0' is least frequent. Adding 1000, so, 1 is most frequent.

[imzhangqin]

000 001 ... 009 010 011 ... 019 ... 990 001 ... 999 so, from 000 ~ 999, all digit are equal. But, remove leading '0', '0' is least frequent. Adding 1000, so, 1 is most frequent.

[PIEBALDconsult]

If not that, then what?

[PIEBALDconsult]

1
10
11
100
101
110
111
1000

0 == 8 1 == 13

[Mike Hankey]

11s Ok but 12 is better. Oh you mean her butt...that's a touchy subject! :)

New version: WinHeist Version 2.2.2 Beta
I told my psychiatrist that I was hearing voices in my head. He said you don't have a psychiatrist!

[User 12831244]

Yep, same thinking I had. Looks solid to me :-)

[User 12831244]

Consider these by the length of the number we have 4 groups. 1-9 10-99 100-999 1000-1000 In the first three groups we only need to consider the first digit, the remaining digits will have an identical number of every digit 0-9, as they cover the complete range. In the final group there is only one number, so it is trivial. Group 1 adds 1 of 1-9. Group 2 adds 10 of 1-9. Group 3 adds 100 of 1-9. Group 4 adds 1 of 1 and 3 of 0. This makes 1 the most common (by 1) and 0 the least common.

[User 12831244]

Ooh, I worked this out the easy way: count them... 14 1s and 9 0s. Easy!

[Kornfeld Eliyahu Peter]

Is fascinating how one can get the right answer even from the wrong reasoning...

Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

[Kornfeld Eliyahu Peter]

In the range of 1-99 there are 20 1s alone!!!

Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

[Chris C B]

Looks to me that everybody is wrong. There are clearly more zeros than ones. Each byte is packed with leading zeros. The ones are big-time losers. QED. :laugh:

[kalberts]

Then go on to the next one: To enter our office area, you must tap the correct four digit code on the keypad by the door. For some strange reason, the checking is implemented as pipeline: The last four digits typed must be the correct ones. So, if the correct code is 2345 and you start typing 1234 the door won't open. Then you add the 5, and the door opens. In other words: You have tested two 4-digit keystrokes by 5 keypresses. Problem 1: What is the minimal number of keypresses required to go through all 10000 possible coded? Problem 2: Describe the algorithm for generating the order of keypresses Problem 3: Prove that this is the minimal number of keypresses Problem 4: The average number of codes you have to try to find the right one is 5000. How many keypresses have you made before having tried 5000 codes? Does it depend on the order of these keypresses? (Note: I do not have the answers)