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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

A 36 long. Max=52(F**K IT!!!)

sq(19,36)={19, 6, 3, 1, 8, 17, 32, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 33, 48, 52, 12, 13, 23, 26, 10, 15, 21, 28, 36, 45}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Length:23

Maximal number:35!

sq(21,23)={21, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 1, 3, 6, 10, 15, 34, 30, 19, 17, 8, 28}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Length:21

MaxNumber:35

sq(32,21)={32, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 1, 3, 6, 10, 15, 21, 28, 8, 17}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Length:28

MaxNumbr:52 !!!!

sq(41,28)={41, 8, 1, 3, 6, 10, 15, 21, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 33, 48, 52, 12, 13, 23}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

I need to inprove my algoritm.

IPBLE: Increasing Performance By Lowering Expectations.

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

So far in this thread, for circles sequences using #'s below 50, we have solutions for these lengths:

2,5,7,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,28

unless I'm mistaken.

**igloo** **myrtilles** **fourmis**

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Length: 10

MaxNumber: 23

sq(23,10)={23, 2, 7, 9, 16, 20, 5, 4, 12, 13}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Length: 8

MaxNumber:28

sq(28,8)={28, 8, 1, 3, 6, 10, 15, 21}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Length: 6

MaxNumber: 19

sq(3,6)={3, 1, 8, 17, 19, 6}

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

We have solutions for these lenghts:

2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

So we dont have solutions for the following:

3,4,26,27

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

The chain

{1,24,120}

Max=120

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

{2,34,47}!!!

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

I'll have a break.

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

{1,3,33,48}!!!

No comment.

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

I'm close to next algoritm

IPBLE: Increasing Performance By Lowering Expectations.

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

What about length 16? I didn't see that one? What is the post # for it?

**igloo** **myrtilles** **fourmis**

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Oh, yes, sorry.

I don't have solution for n = 16... yet

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

For my new algoritm I should learn more about the diophante equations.

IPBLE: Increasing Performance By Lowering Expectations.

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**seerj****Member**- Registered: 2005-12-21
- Posts: 42

krassi_holmz wrote:

For my new algoritm I should learn more about the diophante equations.

Sorry if I'm late, but u have been fantastic!!!! Thanks for ur work!

Thank u again Krassi and JohnFranklin

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**seerj****Member**- Registered: 2005-12-21
- Posts: 42

SOMEONE SUCCESFUL in this problem.

The solution is LENGHT = 32 . 32 is the minimum number!

His circular sequence is:

1,8,28,21,4,32,17,19,30,6,3,13,12,24,25,11,5,31,18,7,29, 20,16,9,27,22,14,2,23,26,10,15

lenght=32

His second list:

1,3,6,19,30,34,2,7,18,31,33,16,9,40,24,25,39,10,15,21, 28,36,13,23,26,38,11,5,20,29,35,14,22,27,37,12,4,32,17,8

lenght=40

But the challenge isn't finished

*Last edited by seerj (2005-12-29 22:49:41)*

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

Holy Toledo, those lists of 32 and 40 use every number 1 to 32 and 1 to 40!!!!! That's incredible.

Were they computed by hand or by computer? Do you know?

**igloo** **myrtilles** **fourmis**

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

!!!!

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

But is really 32 the minimum?

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

I thing for computing these we might use come algoritm simular to the labyrinth algoritm.

IPBLE: Increasing Performance By Lowering Expectations.

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