Scalinate di mattoni

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giobimbo
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Iscritto il: sab nov 19, 2005 5:14 pm
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Re: Scalinate di mattoni

Messaggio da giobimbo »

Se la base è di 6 mattoni per Min(m)=43 esiste la scalinata:

43
20…23
11…15…17
04…13…10…16
03…05…09…12…14
01…02…06…07…08…19

Dalle prove fatte sembrerebbe che il minimo sia questo.
(Oops... non ho messo i numeri in ordine decrescente...)

Gianfranco
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Messaggi: 1288
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Contatta:

Re: Scalinate di mattoni

Messaggio da Gianfranco »

giobimbo ha scritto:
gio apr 08, 2021 5:48 pm
Se la base è di 6 mattoni per Min(m)=43 esiste la scalinata:

43
20…23
11…15…17
04…13…10…16
03…05…09…12…14
01…02…06…07…08…19

Dalle prove fatte sembrerebbe che il minimo sia questo.
(Oops... non ho messo i numeri in ordine decrescente...)
Giobimbo, ok, ci hai fatto uno scherzo, perché mi sembra che modificando leggermente la tua scalinata da 43 se ne possa ottenere un'altra da 42.

42
20-22
11-14-17
04-10-12-16
03-05-09-12-13
01-02-06-07-08-18

Anch'io ho lasciato i numeri in ordine crescente.
Salvo errori & omissioni.
Oops, c'è l'errore.
A questo punto mi piacerebbe dimostrare che con 42 è impossibile.
Pace e bene a tutti.
Gianfranco

giobimbo
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Livello 5
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Re: Scalinate di mattoni

Messaggio da giobimbo »

Mi dispiace deluderti ma faccio notare che hai messo due volte 12 :oops: .
Ecco la soluzione in ordine decrescente:

43
23…20
17…15…11
16…13…10…04
14…12…09…05…03
19…08…07…06…02…01

Le prime 4 file contengono 6+5+4+3=18 mattoni, i numeri vanno da 1 a 17 (manca solo il 18 sostituito dal 19), impossibile da migliorare, credo.

Gianfranco
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Messaggi: 1288
Iscritto il: ven mag 20, 2005 9:51 pm
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Contatta:

Re: Scalinate di mattoni

Messaggio da Gianfranco »

Oops, ho visto e segnalato l'errore.
Grazie Giobimbo!
Pace e bene a tutti.
Gianfranco

Pasquale
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Re: Scalinate di mattoni

Messaggio da Pasquale »

Pardon, solo adesso mi accorgo di quanto discusso sulla base da 6 e dell'errore di cui non mi ero accorto.
In effetti ero partito con il totale da 43, ma mi era sembrato che fosse possibile quello da 39, per cui ne avevo postato un unico esempio a titolo di curiosità, conscio del fatto che uno studio completo sarebbe stato troppo complicato con le centinaia di soluzioni possibili.

Ad ogni modo, a titolo di esempio, riprendendo la soluzione di Giobimbo, vediamo cosa ci si può ricare con qualche piccola modifica:
.
schema.jpg
schema.jpg (99.41 KiB) Visto 457 volte
.
.

APPARE EVIDENTE che se in cima sostituiamo 20 e 23 con 21 e 22, otteniamo altre 15 composizioni diverse
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E' la somma che fa il totale (Totò)

Bruno
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Re: Scalinate di mattoni

Messaggio da Bruno »

Pasquale, non so cosa sia successo nell'applicazione del tuo metodo, ma alcuni di questi schemi hanno righe che non fanno 43 :roll:
(Bruno)

...........................
Invisibile un vento
l'ha apena sfioragia
sospension d'un momento;
e la bola iridessente gera 'ndagia.
{Biagio Marin}
................................................................
Meglio soluzioni sbagliate che risposte esatte.
{Rudi Mathematici}

Pasquale
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Re: Scalinate di mattoni

Messaggio da Pasquale »

E' possibile che nel ricopiare dalla brutta abbia commesso qualche errore, o che abbia battuto un tasto per altro, o che l'ora tarda mi abbia obnubilato il cervello, ma spero che sia chiaro il procedimento. Grazie, vedo di fare un controllo.
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E' la somma che fa il totale (Totò)

Pasquale
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Re: Scalinate di mattoni

Messaggio da Pasquale »

Ho rifatto tutto ex novo per fare prima e spero di non aver commesso altri errori.
Se non vi sono errori, son venute fuori 2 soluzioni in più, per cui in totale , con l'alternativa del 22 e 21 in cima, abbiamo 34 soluzioni derivate tutte dalla prima.
Sono tutte soluzioni che si ottengono confrontando i numeri di ogni riga, presi due a due, con quelli delle altre righe, aventi la stessa somma.
Ci vuole tempo e attenzione, altrimenti possono venir fuori errori o doppioni.


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E' la somma che fa il totale (Totò)

panurgo
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Re: Scalinate di mattoni

Messaggio da panurgo »

Cari ed ottimi, volevo solo dirvi

$\begin{array}{|c|c|c|c|c|c|c|C}
\hline
\mathtt{65} & & & & & & \\
\hline
\mathtt{39} & \mathtt{26} & & & & & \\
\hline
\mathtt{23} & \mathtt{22} & \mathtt{20} & & & & \\
\hline
\mathtt{18} & \mathtt{17} & \mathtt{16} & \mathtt{14} & & & \\
\hline
\mathtt{19} & \mathtt{13} & \mathtt{12} & \mathtt{11} & \mathtt{10} & & \\
\hline
\mathtt{21} & \mathtt{15} & \mathtt{09} & \mathtt{08} & \mathtt{07} & \mathtt{05} & \\
\hline
\mathtt{25} & \mathtt{24} & \mathtt{06} & \mathtt{04} & \mathtt{03} & \mathtt{02} & \mathtt{01} \\
\hline
\end{array}$
il panurgo

Principio di Relatività: {\bb m} \not \right {\bb M} \ \Longleftrightarrow \ {\bb M} \not \right {\bb m}
"Se la montagna non va a Maometto, Maometto NON va alla montagna"

Pasquale
Livello 12
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Messaggi: 2690
Iscritto il: mer mag 25, 2005 2:14 am

Re: Scalinate di mattoni

Messaggio da Pasquale »

Bene, seguono alcune varianti derivate (a parte errori o ripetizoni) :
.
varianti.jpg
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\text {   }ciao Immagine ciao
E' la somma che fa il totale (Totò)

panurgo
Livello 9
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Re: Scalinate di mattoni

Messaggio da panurgo »

panurgo ha scritto:
lun apr 19, 2021 5:54 pm
Cari ed ottimi, volevo solo dirvi

$\begin{array}{|c|c|c|c|c|c|c|C}
\hline
\mathtt{65} & & & & & & \\
\hline
\mathtt{39} & \mathtt{26} & & & & & \\
\hline
\mathtt{23} & \mathtt{22} & \mathtt{20} & & & & \\
\hline
\mathtt{18} & \mathtt{17} & \mathtt{16} & \mathtt{14} & & & \\
\hline
\mathtt{19} & \mathtt{13} & \mathtt{12} & \mathtt{11} & \mathtt{10} & & \\
\hline
\mathtt{21} & \mathtt{15} & \mathtt{09} & \mathtt{08} & \mathtt{07} & \mathtt{05} & \\
\hline
\mathtt{25} & \mathtt{24} & \mathtt{06} & \mathtt{04} & \mathtt{03} & \mathtt{02} & \mathtt{01} \\
\hline
\end{array}$
In realtà intendevo

$\vdots\\
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{18} & \mathtt{06} & & & \\
\hline \mathtt{16} & \mathtt{15} & \mathtt{14} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{17} & \mathtt{12} & \mathtt{07} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{18} & \mathtt{06} & & & \\
\hline \mathtt{16} & \mathtt{15} & \mathtt{14} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{17} & \mathtt{12} & \mathtt{07} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{18} & \mathtt{06} & & & \\
\hline \mathtt{16} & \mathtt{15} & \mathtt{14} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{17} & \mathtt{12} & \mathtt{07} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{18} & \mathtt{06} & & & \\
\hline \mathtt{16} & \mathtt{15} & \mathtt{14} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{17} & \mathtt{12} & \mathtt{07} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{18} & \mathtt{06} & & & \\
\hline \mathtt{16} & \mathtt{15} & \mathtt{14} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{17} & \mathtt{12} & \mathtt{07} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{17} & \mathtt{11} & & & \\
\hline \mathtt{22} & \mathtt{15} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{17} & \mathtt{15} & \mathtt{12} & & & \\
\hline \mathtt{20} & \mathtt{18} & \mathtt{11} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{20} & \mathtt{17} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{18} & \mathtt{17} & \mathtt{09} & & & \\
\hline \mathtt{20} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{17} & \mathtt{15} & \mathtt{11} & & & \\
\hline \mathtt{19} & \mathtt{18} & \mathtt{12} & \mathtt{09} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{15} & \mathtt{09} & & & \\
\hline \mathtt{18} & \mathtt{17} & \mathtt{12} & \mathtt{11} & \mathtt{07} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{22} & \mathtt{19} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{34} & \mathtt{31} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{33} & \mathtt{32} & & & & & \\
\hline \mathtt{24} & \mathtt{22} & \mathtt{19} & & & & \\
\hline \mathtt{21} & \mathtt{20} & \mathtt{17} & \mathtt{07} & & & \\
\hline \mathtt{18} & \mathtt{15} & \mathtt{12} & \mathtt{11} & \mathtt{09} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{14} & \mathtt{06} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{39} & \mathtt{26} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{17} & \mathtt{15} & \mathtt{14} & & & \\
\hline \mathtt{22} & \mathtt{18} & \mathtt{12} & \mathtt{07} & \mathtt{06} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{11} & \mathtt{09} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
$
$
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{38} & \mathtt{27} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{17} & \mathtt{15} & \mathtt{14} & & & \\
\hline \mathtt{22} & \mathtt{18} & \mathtt{12} & \mathtt{07} & \mathtt{06} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{11} & \mathtt{09} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{37} & \mathtt{28} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{17} & \mathtt{15} & \mathtt{14} & & & \\
\hline \mathtt{22} & \mathtt{18} & \mathtt{12} & \mathtt{07} & \mathtt{06} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{11} & \mathtt{09} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{36} & \mathtt{29} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{17} & \mathtt{15} & \mathtt{14} & & & \\
\hline \mathtt{22} & \mathtt{18} & \mathtt{12} & \mathtt{07} & \mathtt{06} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{11} & \mathtt{09} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\qquad
\begin{array}{|c|c|c|c|c|c|c|C} \hline \mathtt{65} & & & & & & \\
\hline \mathtt{35} & \mathtt{30} & & & & & \\
\hline \mathtt{24} & \mathtt{21} & \mathtt{20} & & & & \\
\hline \mathtt{19} & \mathtt{17} & \mathtt{15} & \mathtt{14} & & & \\
\hline \mathtt{22} & \mathtt{18} & \mathtt{12} & \mathtt{07} & \mathtt{06} & & \\
\hline \mathtt{23} & \mathtt{16} & \mathtt{11} & \mathtt{09} & \mathtt{04} & \mathtt{02} & \\
\hline \mathtt{25} & \mathtt{13} & \mathtt{10} & \mathtt{08} & \mathtt{05} & \mathtt{03} & \mathtt{01} \\\hline\end{array}
\\
\vdots$
il panurgo

Principio di Relatività: {\bb m} \not \right {\bb M} \ \Longleftrightarrow \ {\bb M} \not \right {\bb m}
"Se la montagna non va a Maometto, Maometto NON va alla montagna"

giobimbo
Livello 5
Livello 5
Messaggi: 288
Iscritto il: sab nov 19, 2005 5:14 pm
Località: Biella

Re: Scalinate di mattoni

Messaggio da giobimbo »

Ottimo Panurgo! Ora, usando quanto detto da Gianfranco nel suo intervento del 7 aprile possiamo riassumere così:
n=2 Min(m)=3
n=3 Min(m)=8
n=4 Min(m)=15
n=5 Min(m)=27
n=6 Min(m)=43
n=7 Min(m)=65

Bruno
Livello 9
Livello 9
Messaggi: 1616
Iscritto il: lun nov 21, 2005 6:07 pm
Località: Bologna

Re: Scalinate di mattoni

Messaggio da Bruno »

Eccoli qui: A047837 :D
(Bruno)

...........................
Invisibile un vento
l'ha apena sfioragia
sospension d'un momento;
e la bola iridessente gera 'ndagia.
{Biagio Marin}
................................................................
Meglio soluzioni sbagliate che risposte esatte.
{Rudi Mathematici}

giobimbo
Livello 5
Livello 5
Messaggi: 288
Iscritto il: sab nov 19, 2005 5:14 pm
Località: Biella

Re: Scalinate di mattoni

Messaggio da giobimbo »

Non sapevo che il mio problema fosse già noto, io ho preso ispirazione da Base Cinque, dai mattoni numerati. Comunque, dopo il sonnellino postprandiale ho provato a esaminare il caso n=8 e ho trovato questa scalinata in cui ci sono i numeri da 1 a 33, poi 40, 64 e 95:

95
64 31
40 29 26
32 30 18 15
33 25 17 16 04
27 24 20 13 06 05
28 22 11 10 09 08 07
23 21 19 14 12 03 02 01

dall'oeis vedo che il minimo è 94, ci sono solo andato vicino…

Bruno
Livello 9
Livello 9
Messaggi: 1616
Iscritto il: lun nov 21, 2005 6:07 pm
Località: Bologna

Re: Scalinate di mattoni

Messaggio da Bruno »

Una scala bella e agevole :D e ora infatti sappiamo che ne esistono da "94".
(Bruno)

...........................
Invisibile un vento
l'ha apena sfioragia
sospension d'un momento;
e la bola iridessente gera 'ndagia.
{Biagio Marin}
................................................................
Meglio soluzioni sbagliate che risposte esatte.
{Rudi Mathematici}

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