AW: Aufgabe::Rechteckige Matrizen

[<h.dolhaine@XXXXXXX.de>]

Wenn n die höchste in der Matrix vorkommende Zahl ist, dann gilt für alle

Zahl der Zeilen = 1 + n / 2

(smile)

Gruß

HD

-----Ursprüngliche Nachricht-----
Von: owner-demug@XXXXXXX.ch [mailto:owner-demug@XXXXXXX.ch] Im Auftrag von Udo und Susanne Krause
Gesendet: Donnerstag, 6. Dezember 2012 06:32
An: DMUG
Betreff: Re: Aufgabe::Rechteckige Matrizen

Hallo,

hier sind drei weitere Matrizen dieser Art, die Frage bleibt: welcher Art?


{{1, 18, 17, 16, 9, 3, 5, 2, 4, 7, 6, 10, 15, 13, 12, 14, 8, 11},
  {2, 1, 18, 17, 16, 11, 14, 4, 6, 3, 5, 7, 10, 9, 8, 12, 13, 15},
  {4, 2, 1, 18, 17, 16, 9, 13, 5, 8, 6, 12, 7, 15, 11, 10, 14, 3},
  {5, 3, 2, 1, 18, 4, 17, 16, 15, 14, 8, 7, 6, 13, 11, 9, 12, 10},
  {9, 3, 2, 8, 18, 7, 6, 17, 16, 5, 15, 14, 4, 10, 13, 11, 12, 1},
  {13, 18, 12, 17, 16, 11, 15, 6, 7, 10, 3, 8, 5, 1, 9, 14, 4, 2},
  {15, 5, 6, 1, 14, 18, 13, 12, 17, 11, 10, 8, 16, 7, 2, 9, 3, 4},
  {16, 7, 1, 6, 15, 18, 14, 17, 13, 12, 8, 10, 2, 9, 11, 3, 4, 5},
  {17, 11, 4, 2, 3, 7, 5, 6, 1, 12, 10, 18, 9, 16, 14, 15, 13, 8},
  {18, 17, 4, 7, 2, 3, 6, 5, 11, 1, 16, 10, 9, 8, 15, 13, 12, 14}}



{{1, 16, 7, 4, 6, 3, 2, 11, 10, 5, 9, 8, 13, 12, 14, 15},
  {2, 1, 15, 14, 12, 7, 6, 5, 4, 3, 10, 8, 9, 13, 11, 16},
  {4, 2, 1, 16, 15, 14, 11, 13, 7, 5, 6, 9, 10, 12, 8, 3},
  {5, 3, 2, 1, 16, 15, 4, 13, 14, 11, 6, 8, 7, 10, 9, 12},
  {9, 3, 8, 2, 7, 6, 5, 15, 16, 4, 10, 14, 13, 11, 12, 1},
  {13, 12, 16, 15, 11, 10, 9, 6, 5, 4, 7, 8, 14, 1, 3, 2},
  {16, 15, 14, 13, 12, 11, 10, 9, 6, 5, 7, 8, 1, 2, 3, 4},
  {14, 16, 13, 5, 1, 12, 7, 4, 6, 11, 15, 10, 3, 2, 9, 8},
  {15, 4, 2, 5, 7, 3, 11, 6, 1, 10, 16, 13, 9, 8, 12, 14}}



{{1, 14, 12, 11, 8, 6, 5, 4, 7, 9, 2, 3, 10, 13},
  {2, 1, 7, 9, 10, 11, 4, 3, 6, 5, 8, 12, 13, 14},
  {4, 2, 1, 10, 11, 8, 9, 5, 6, 7, 12, 13, 14, 3},
  {5, 3, 8, 7, 1, 2, 9, 6, 10, 11, 12, 13, 14, 4},
  {11, 9, 10, 3, 4, 5, 12, 13, 6, 7, 14, 2, 8, 1},
  {9, 5, 4, 7, 6, 8, 10, 11, 12, 13, 14, 1, 3, 2},
  {13, 9, 10, 11, 12, 14, 1, 6, 8, 5, 4, 2, 3, 7},
  {12, 9, 13, 14, 11, 5, 1, 6, 10, 2, 3, 4, 7, 8}}


Gruss
Udo.

> welche Eigenschaften haben die folgenden Matrizen gemeinsam?
>
> {{1, 10, 9, 12, 11, 3, 6, 4, 8, 7, 5, 2},
>   {2, 1, 10, 11, 5, 12, 3, 7, 4, 8, 6, 9},
>   {4, 2, 12, 1, 9, 3, 8, 11, 10, 6, 7, 5},
>   {5, 4, 3, 2, 11, 1, 12, 9, 7, 8, 6, 10},
>   {7, 8, 1, 5, 9, 4, 2, 12, 10, 3, 11, 6},
>   {8, 9, 6, 12, 2, 3, 5, 4, 10, 11, 7, 1},
>   {10, 12, 5, 6, 9, 11, 4, 8, 2, 7, 1, 3}}
>
>
>
> {{1, 10, 3, 6, 7, 9, 8, 4, 5, 2},
>   {2, 1, 9, 7, 10, 8, 3, 5, 6, 4},
>   {4, 2, 1, 10, 5, 9, 3, 7, 8, 6},
>   {5, 3, 7, 6, 2, 1, 4, 10, 9, 8},
>   {9, 4, 3, 10, 6, 1, 2, 7, 8, 5},
>   {10, 8, 7, 5, 9, 4, 3, 6, 2, 1}}
>
>
>
> {{1, 8, 6, 4, 5, 7, 3, 2},
>   {2, 1, 8, 3, 7, 6, 5, 4},
>   {4, 2, 1, 3, 8, 7, 5, 6},
>   {5, 8, 3, 4, 2, 6, 1, 7},
>   {8, 4, 5, 6, 3, 7, 2, 1}}
>
>
>
> {{1, 6, 4, 3, 5, 2},
>   {2, 1, 6, 4, 5, 3},
>   {4, 2, 6, 3, 5, 1},
>   {5, 3, 2, 6, 1, 4}}
>
>
>
> {{1, 4, 3, 2},
>   {2, 1, 4, 3},
>   {4, 2, 3, 1}}
>
>
>
> {{1, 2},
>   {2, 1}}
>
>
>
> {{1}}
>
>
>
> Mit den besten GrÃŒssen
> Udo.