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#1 2013-08-21 06:47:28

meanmaths
Member
Registered: 2013-08-01
Posts: 51

"Guess my numbers" chain

Hi everyone

I saw the "add x" threads and thought about the following
chain puzzle. Hope some of you will like it :-)


______________The puzzle________________

My numbers are between 1 and 99.
Glued together, they give the sequence S (S must have no more than 10 digits)
Their sum (or mean) is ...

There are often multiple solutions, so one may add additional
constraints/hints (one of my numbers is a prime/Fibonacci number, etc.)

_____________A Simple Example___________

My numbers are between 1 and 99.
Glued together, they give the sequence 15723
Their sum is 81

Solution 1 : 1 57 23
Solution 2 : 1 5 72 3

I could have added the following constraint/hint
- At least 2 of of my numbers are Fibonacci numbers

to make Solution 2 the only valid answer

_____________First Puzzle____________

My numbers are between 1 and 99.
Glued together, they give the sequence 23931897
Their sum is 195

Constraints/Hints:
#1 At least three of my numbers are prime numbers
#2 At least one of my numbers is a 2-digit Fibonacci number


***** ANSWER FORMAT *****

Answer to previous:

My numbers are between 1 and 99.
Glued together, they give the sequence ... [10 digits or less]
Their sum/mean is ...

Constraints/Hints:
#1
#2

Last edited by meanmaths (2013-08-21 06:48:35)


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#2 2013-08-21 07:09:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

Hi meanmaths


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#3 2013-08-21 07:22:03

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

Hi anonimnystefy
Congrats for the solution.
Now, you get to propose your own puzzle tongue
You just have to think about some numbers in your head
and complete the answer format.
A cool thing is that you can draw attention
to a number (between 1 and 99) with some special properties


(anyone who solved the puzzle can continue the chain)


***** ANSWER FORMAT *****
Answer to previous:

My numbers are between 1 and 99.
Glued together, they give the sequence ... [10 digits or less]
Their sum/mean is ...

Constraints/Hints:
#1
#2

Last edited by meanmaths (2013-08-21 07:42:47)


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#4 2013-08-21 09:36:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

I think I'll leave it to someone else to come up with a new puzzle.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#5 2013-08-21 12:15:13

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

Answer to previous: 2 3 93 1 89 7

My numbers are between 1 and 99.
Glued together, they give the sequence 66267115
Their sum is 151

Constraints/Hints:
#1 Two of my numbers can be expressed as the sum of two of my other numbers


***** ANSWER FORMAT *****

Answer to previous: ...

My numbers are between 1 and 99.
Glued together, they give the sequence ... [10 digits or less]
Their sum/mean is ...

Constraints/Hints:
#1
#2


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#6 2013-08-21 13:12:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,168

Re: "Guess my numbers" chain

66 + 2 + 6 + 71 + 1 + 5 = 151

71 = 66 + 5
6 = 1 + 5

My numbers are between 1 and 99. When glued together they become 171975913.

Constraints:

#1 At least 2 numbers are prime.

#2 The sum of my numbers is a square.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#7 2013-08-22 01:18:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

Hi bobbym

You need to give the sum of your numbers as a value.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#8 2013-08-22 02:33:13

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

You're right anonimnystefy
but what he did is a cool variant. I enjoyed solving it.


If there is no other answer, I will add my own puzzle later today.

Last edited by meanmaths (2013-08-22 02:38:27)


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#9 2013-08-22 02:44:11

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,168

Re: "Guess my numbers" chain

That is one answer but there is another one.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#10 2013-08-22 11:21:13

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

Answer to previous

Pascal-themed puzzle

My numbers are between 1 and 99
Glued together, they give 919236295
To get the sum of my numbers, you have to get a list of the first prime numbers
and retrieve the position occupied by the prime number obtained by dividing Pascal birthyear by 3.
(phew, I'm not even sure this is understandable :-D)

Constraints/Hints
#1 One of my numbers is the monthday of Pascal's birth and death

Last edited by meanmaths (2013-08-22 11:21:51)


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#11 2013-08-22 12:23:13

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

Hi meanmaths

I've seen less understandable. I think Bob and phrontister can confirm it.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#12 2013-08-23 01:46:56

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

well done, anonimnystefy.
(You give me more work though because I have to build another puzzle to make up for the one you didn't provide :-P)


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#13 2013-08-23 02:18:30

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

Sorry about that. smile

Anyone willing to can pose a new one instead of me.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#14 2013-08-23 02:31:36

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,168

Re: "Guess my numbers" chain

What type puzzle is required? The old type or the Pascal theme?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#15 2013-08-23 04:16:14

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

any puzzle will do, bobbym. The initial version, your version, or a version themed around a mathematician/scientist you admire, etc.
The cool thing with the themed version is that it gives an additional tiny bit of mathematics culture/trivia to the people who try to solve it.
The less cool thing is that it requires more time to build, compared to the simpler puzzles.

Last edited by meanmaths (2013-08-23 04:17:31)


Number Splitter #1
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#16 2013-08-23 04:24:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

Hi meanmaths

Look at this one:http://www.mathisfunforum.com/viewtopic.php?id=19273. You might find it interesting.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#17 2013-08-23 04:47:58

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

Hi stefy
I read all the thread (except the hidden parts). Some bits were quite funny :-d
My take:
1) This chain is not really for puzzles that seem so hard :-) so when I said, "any puzzle will do", it should not be believed
2) The warning message accompanying the puzzle is just too convincing. I'm already late for too many things and I don't
really feel like coding to solve the puzzle [I have saved the pdf though. I may try to do it manually some day]


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#18 2013-08-23 04:49:23

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,518

Re: "Guess my numbers" chain

Hm, so have you read the puzzle itself?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#19 2013-08-23 05:19:41

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

well, I just did. Funny stuff. Great headache material :-D.
(English is actually my third language, so the pain was possibly greater than "intended").
I see your point now about having seen "less understandable" puzzles.
Note that I sometimes do this kind of things too (making all sorts of factual but
arguably pointless connections between this and that) but that puzzle is a masterpiece.

Last edited by meanmaths (2013-08-23 05:20:20)


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#20 2013-08-23 05:27:32

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

I would add that the puzzle actually has some similarities with Mean Sumurai. And I could see also on the "Add 13" thread that bobbym was splitting numbers long before I joined the forum.
So, bobbym, if you have an Android, there is a new Mode Arena that you could like. I would like to see how you fare against games that I (or Jess Chua, a player that may be better than me at my own game) solved and uploaded.


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#21 2013-08-23 07:21:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,168

Re: "Guess my numbers" chain

Hi;

The 13 game gets much more complicated when phrontister and I play it. When he is not involved I go with the idea of simplicity and leave out the more extreme possibilities.

I do not have an  android but would not have offered much competition anyway.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#22 2013-08-27 10:42:12

meanmaths
Member
Registered: 2013-08-01
Posts: 51

Re: "Guess my numbers" chain

Hi bobby
I actually do the opposite for the 13 game (I always try to give the simplest answer).
About the number splitting thing, I believe a master Jedi such as Yoda ;-) would have made,
at the very least, a great Sumurai.
Best
[A million and one things. Will be somewhat "rare" these days]


Number Splitter #1
GameMaster of Mean Sumurai @ Google Play

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#23 2013-08-27 11:13:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,168

Re: "Guess my numbers" chain

Yoda is a little bit passed it. Maybe 500 years ago he was the man ( the frog ) now he is pretty much running on fumes.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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