JFF_de ZERO à TRENTE-NEUF

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JFF_de ZERO à TRENTE-NEUF
Posté par 
lo5707  24-09-07 à 14:51
Bonjour à tous,

On écrit les chiffres de 0 à 39 (mais sans le 14, ni le 16), comme ceci:

ZERO = Z+E+R+O = 0

UN = U+N = 1

DEUX = D+E+U+X = 2

TROIS = T+R+O+I+S = 3

...

TRENTE-NEUF = T+R+E+N+T+E+N+E+U+F = 39

Donnez la valeur des lettres A, C, D, E, F, H, I, N, O, P, Q, R, S, T, U, X, Z ainsi que le couple (V + G). 

Bonne réflexion.

N'oubliez pas de blanker.

 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  24-09-07 à 15:00
salut lo

 Cliquez pour afficher
y'aurait pas une erreur ?

si ZERO = 0 => Z=E=R=O=0

donc ONZE = 11 => N=11

donc UN = U + 11 qui ne peut pas valoir 1 sauf si U = -10

est-ce que les nombres négatifs sont acceptés ?

Merci

 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  24-09-07 à 15:07
Il n'est pas précisé que l'on est dans 

Donc les nombres négatifs sont bien sûr acceptés, tout comme les rationnels et les réels.
 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  24-09-07 à 15:09
bonjour mika

au fait... 
 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  24-09-07 à 15:12
ok, c'est mieux 

 Cliquez pour afficher
de "vingt" et "vingt-et-un" on déduit que E = -T c'est bon ? 

 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  24-09-07 à 15:18
mika

 Cliquez pour afficher
tout à fait !

 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 12:35
Alors, personne?

 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 13:27
si si, ne clos pas, j'avais un brouillon avec les équations ...et infoutu de mettre la main dessus... /D

 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 13:28
et un eupin 

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 17:56
Bonjour lo,

 Cliquez pour afficher

Y a t'il une erreur dans la résolution que je t'ai postée?

 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 19:36
bonjourcaylus,

 Cliquez pour afficher
je dois t'avouer que je ne comprends pas du tout ton tableau... 

Et pour Z, je pense qu'il n'y a qu'une valeur qui est ... ni l'une ni l'autre... 

tu saurais me donner clairement les valeurs des lettres?

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 20:36
re,

ok 

 Cliquez pour afficher
 j'ai retrouvé une erreur "vingt-neuf: 2e!!"

Je refais mes calculs
 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  26-09-07 à 23:52
 Cliquez pour afficher
Sauf erreur(s) de calcul(s)

 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  27-09-07 à 10:26
caylus:

 Cliquez pour afficher
Parfait !

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 14:34

 Cliquez pour afficher
Merci pour cette JFF très étonnante (originale).

 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 16:34
merci à tous les deux

quelles seraient les valeurs à donner aux lettres pour aller le plus loin possible

ZERO

UN

...

TREIZE

QUATORZE

QUINZE

SEIZE

DIX-SEPT

...

?

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 17:23
Bonjour Mika,

 Cliquez pour afficher
À combien de temps a t'on droit ? (5 min et vous êtes dans le coup disait M...)

La méthode de Jacques Martin est-elle appliquable? 

Et pour ceux qui aiment le SMS:

Je frappe au numéro 1, j'demande Mamzelle Angeleu, la con-cièrge me répond mais quel métier fait-elleu ? elle fédépantalons des jupédéjupons et des giléd'flanelleu, elle fédépantalons des jupédéjupons et des bonnets d'coton ah-ah-ah je ne connais pas ce genreu-deu métier allez voir à côté ! 

Je frappe au numéro 2....

 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 17:30
autant que temps que tu veux caylus après tu iras guindailler, comme disent les outre-quiévrains 

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 17:57
Mika,

il ne faut pas confondre le comte Caylus et le roi Cambrius!

 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 17:58
les bons comtes font ...

 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 17:59
C'est pas le roi Gambrinus plutôt ?
 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  28-09-07 à 19:25

OUI.

Il y a des connaisseurs! 

mais 

J'ai trouvé sur internet: 

Disciples de Bacchus et du roi Cambrius!

Nous ne craignons pas ceux

Qui dans la nuit nous guèttent...
 Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 03:38
oui, c'est le chant des wallons 

Que jusque tout au bord

l'on remplisse nos verres

Qu'on les remplisse encore

de la même manière

Car nous sommes les plus forts

buveurs de blonde bière

Car nous restons

des gais wallons

Dignes de nos aïeux nom de dieu

car nous sommes comme eux nom de dieu

Disciples de Bacchus et du roi Gambrinus

...

Etant wallon, je suis formel... 
 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 11:02
Bonjour Laurent (et Lorent ),

 Tu as parfaitement raison .cqfd
 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 11:12
salut à tous

si vous parlez de bières, d'autres mathîliens, Tigweg, Cauchy, kiko... vont venir nous rejoindre 

( je n'oublie pas les mathiliennes  )

Ah ! ZUT !

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 12:46
Bonjour Mika,

Une petite explication pour l'outre-quiévrain:

Le livre Lorent et Lorent (Algèbre 2B ) Edition De Boek 

fût  utilisé à partir les années 1965 comme manuel de référence pour les 3 années supérieures des athénées en Belgique.
 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 12:49
désolé : lire "des" années et non pas "les".
 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 15:26
caylus, nous sommes - si je ne m'abuse - outre-quiévrains l'un de l'autre...

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 16:02
Mika,

Exact!

J'ai eu ainsi le temps de réfléchir (un peu) au problème.

(C'était pour la raison de mes divers messages)

J'ai pris comme option d'exprimer les nombre en fonction des premières lettres utilisées dans l'ordre alphabétique.

Le 1er hiatus  apparaît avec dix. (obligtion de permuter deux lettres).

Le 2e plus grave apparaît avec SEIZE

(car pour QUATORZE Z=0 et pour SEIZE, Z=1).

Il faut dès lors exclure QUATORZE.

Je continue mes investigations...
 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 16:03
 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 21:15
Pour la démonstration, c'est une autre histoire!

Néanmoins, même en excluant 14 et 16, le système devient imcompatible à partir 

 de "TRENTE"

 Cliquez pour afficher

                     E N O R U Z

--------------------------------

                ZERO 1 0 1 1 0 1= 0

                  UN 0 1 0 0 1 0= 1

--------------------------------

                     D E N O R U X Z

------------------------------------

                DEUX 1 0 0-1-1 1 1-1= 2

                ZERO 0 1 0 1 1 0 0 1= 0

                  UN 0 0 1 0 0 1 0 0= 1

------------------------------------

                     D E I N O R S T U X Z

------------------------------------------

                DEUX 1 0 0 0-1-1 0 0 1 1-1= 2

                ZERO 0 1 0 0 1 1 0 0 0 0 1= 0

               TROIS 0 0 1 0 1 1 1 1 0 0 0= 3

                  UN 0 0 0 1 0 0 0 0 1 0 0= 1

------------------------------------------

                     A D E I N O Q R S T U X Z

----------------------------------------------

              QUATRE 1 0 0 0 0-1 1 0 0 1 1 0-1= 4

                DEUX 0 1 0 0 0-1 0-1 0 0 1 1-1= 2

                ZERO 0 0 1 0 0 1 0 1 0 0 0 0 1= 0

               TROIS 0 0 0 1 0 1 0 1 1 1 0 0 0= 3

                  UN 0 0 0 0 1 0 0 0 0 0 1 0 0= 1

----------------------------------------------

                     A C D E I N O Q R S T U X Z

------------------------------------------------

              QUATRE 1 0 0 0 0 0-1 1 0 0 1 1 0-1= 4

                CINQ 0 1 0 0 0 0-1 1-1-1-1-1 0 0= 1

                DEUX 0 0 1 0 0 0-1 0-1 0 0 1 1-1= 2

                ZERO 0 0 0 1 0 0 1 0 1 0 0 0 0 1= 0

               TROIS 0 0 0 0 1 0 1 0 1 1 1 0 0 0= 3

                  UN 0 0 0 0 0 1 0 0 0 0 0 1 0 0= 1

------------------------------------------------

                     A C D E I N O Q R S T U X Z

------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0-1 0 1 1= 3

               TROIS 0 0 0 0 1 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 1 0 0 0 0 0 1 0 0= 1

                 SIX 0 0 0 0 0 0 1 0 1 0 1 0-1 0=-3

------------------------------------------------

                     A C D E I N O P Q R S T U X Z

--------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0-1 0 1 1= 3

               TROIS 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                 SIX 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

                SEPT 0 0 0 0 0 0 0 1 0 0 1 2 0-1-1= 4

--------------------------------------------------

                     A C D E H I N O P Q R S T U X Z

----------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0-1 0 1 1= 3

                HUIT 0 0 0 0 1 0 0 0 0 0 0-1 1 1-1 0= 2

                 SIX 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

               TROIS 0 0 0 0 0 0 0 0 1 0 0 1 2 0-1-1= 4

----------------------------------------------------

                     A C D E F H I N O P Q R S T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0-1 0 1 1= 3

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0-1-1= 5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0-1 1 1-1 0= 2

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0-1-1= 4

------------------------------------------------------

                     A C D E F H I N O P S R Q T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 1 1 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1-1=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0-1 0 1 1= 3

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0-1-1= 5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2-1-1=-3

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0-1-1 1 1= 11

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 1-1-1 0= 9

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0-1=-5

------------------------------------------------------

                     A C D E F H I N O P S R Q T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 1 2 0-1-1= 11

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1-1=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0-1 0 1 1= 3

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0-1-1= 5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2-1-1=-3

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0-1-1 1 1= 11

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 1-1-1 0= 7

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 1-1-1 0= 9

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0-1=-5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0=-10

------------------------------------------------------

                     A C D E F H I N O P S R T Q U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2-1 1= 17

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1-1 0=-4

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0= 2

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0-1 1 0= 0

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1-1 0= 8

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 4-1 1= 3

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0-2 1 0= 8

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0=-2

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0=-10

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0-1 0-1=-3

------------------------------------------------------

                     A C D E F H I N O P S R T U Q X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 .5 0= 8

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1-.25-.5=-8.5

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1.5-1=-11

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0-.75-.5= 1.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75 .5= 4.5

------------------------------------------------------

                     A C D E F H I N O P S R T U Q X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 .5 0= 8

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1-.25-.5=-8.5

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1.5-1=-11

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0-.75-.5= 1.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75 .5= 4.5

------------------------------------------------------

                     A C D E F H I N O P Q R S T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

------------------------------------------------------

                     A C D E F H I N O P Q R S T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

------------------------------------------------------

                     A C D E F H I N O P Q R S T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

------------------------------------------------------

                     A C D E F H I N O P Q R S T U X Z

------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 17

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1=-4

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2= 2

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 6

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 2

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1= 8

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 3=-3

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1= 1

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-1= 4

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0-1= 6

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1=-10

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2=-2

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-2=-3

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0-1= 0

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-2=-6

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 33

----------------------------------------------------------

                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 33

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 33

----------------------------------------------------------

                     A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 20

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 8

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 9

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-1

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 6

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0= 14

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 4

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0= 3

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0=-6

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0=-7

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 4

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0=-9

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-3

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1=-3

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 33

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 33

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 33

----------------------------------------------------------

DECLARE SUB Gauss ()

DECLARE SUB Pause ()

DECLARE SUB Unifie (lig AS INTEGER)

DECLARE SUB Neutralise (lig AS INTEGER)

DECLARE FUNCTION Minimum! (n1 AS LONG, n2 AS LONG)

DECLARE SUB Permute (lig1 AS INTEGER, lig2 AS INTEGER)

DECLARE FUNCTION pivot% (eta AS INTEGER)

DECLARE FUNCTION net$ (p AS STRING, le AS INTEGER)

DECLARE SUB Init (nb AS INTEGER)

DECLARE SUB Affiche ()

DECLARE FUNCTION Lettre$ (p AS LONG)

DECLARE FUNCTION MILLE$ (p AS LONG)

DECLARE FUNCTION nLettre% (p AS STRING)

DECLARE FUNCTION AutrePivot% (eta AS INTEGER)

DECLARE FUNCTION IsIn! (num AS LONG, numEx() AS INTEGER)

exclus:

 DATA 2 : ' nb exclusions

 DATA 14,16

 'DATA 30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49

'-----------------------------------------

REM $DYNAMIC

DIM SHARED x(1, 1) AS DOUBLE

DIM SHARED f(1)  AS STRING

DIM SHARED colCar(1) AS STRING

REM $STATIC

DIM SHARED nX AS INTEGER, nY AS INTEGER

DIM SHARED vrai AS INTEGER, faux AS INTEGER

DIM i AS INTEGER

  faux = (0 = 1)

  vrai = NOT (faux)

'---------------------------

 CLS

 OPEN "c:\zero.txt" FOR OUTPUT AS #1

FOR i = 1 TO 32

'  i = 38

  CALL Init(i)

' CALL Affiche

 CALL Gauss

 CALL Affiche

' CALL Pause

NEXT i

CLOSE #1

END

SUB Affiche

 SHARED nX AS INTEGER, nY AS INTEGER

 SHARED x() AS DOUBLE, colCar() AS STRING, f() AS STRING

 DIM i AS INTEGER, j AS INTEGER, n AS INTEGER

 DIM ch AS STRING, txt0 AS STRING, txt1 AS STRING, txt2 AS STRING, txt3 AS STRING, nb AS INTEGER, nt AS INTEGER

  nb = 20

  nt = nb + 2 * nY

   txt2 = SPACE$(nb)

   FOR j = 1 TO nY

     txt2 = txt2 + " " + colCar(j)

   NEXT j

   txt0 = STRING$(nt, "-")

  PRINT txt2

  PRINT txt0

  PRINT #1, txt2

  PRINT #1, txt0

  FOR i = 1 TO nX

   txt3 = net$(f(i), nb)

   FOR j = 1 TO nY

     txt3 = txt3 + STR$(x(i, j))

   NEXT j

   txt3 = txt3 + "=" + STR$(x(i, 0))

   PRINT txt3

   PRINT #1, txt3

  NEXT i

  PRINT txt0

  PRINT #1, txt0

END SUB

FUNCTION AutrePivot% (eta AS INTEGER)

 SHARED x() AS DOUBLE, nX AS INTEGER, nY AS INTEGER

 SHARED faux AS INTEGER, vrai AS INTEGER

 DIM xx AS DOUBLE, sCol AS STRING

 DIM i  AS INTEGER, j AS INTEGER, encore AS INTEGER, Rep AS INTEGER

  Rep = 0

  encore = vrai

  j = eta

  WHILE encore

   j = j + 1

   IF j > nY THEN

    encore = faux

   ELSE

    IF x(eta, j) <> 0# THEN

     Rep = j

     encore = faux

    END IF

   END IF

   WEND

   IF Rep <> 0 THEN

    FOR i = 0 TO nX

     xx = x(i, eta)

     x(i, eta) = x(i, Rep)

     x(i, Rep) = xx

    NEXT i

    sCol = colCar(eta)

    colCar(eta) = colCar(Rep)

    colCar(Rep) = sCol

    Rep = eta

'CALL Affiche

'PRINT " permut done"

'PRINT "Rep="; Rep

'PRINT

'    CALL Pause

   END IF

AutrePivot% = Rep

END FUNCTION

SUB Gauss

 SHARED vrai AS INTEGER, faux AS INTEGER

 SHARED nX AS INTEGER, nY AS INTEGER

 SHARED x() AS DOUBLE

 SHARED f() AS STRING

 DIM k AS INTEGER, j AS INTEGER, i AS INTEGER

 DIM etape AS INTEGER, min AS INTEGER

 min = nX

 IF nY < min THEN min = nY

  etape = 0

  FOR k = 1 TO min

    etape = etape + 1

    i = pivot(etape)

    IF i = 0 THEN

     i = AutrePivot(etape)

'     PRINT "autre pivot="; i

'     PRINT

'     PRINT

'     CALL Pause

     IF i = 0 THEN

      IF x(etape, 0) <> 0# THEN

       CALL Affiche

       PRINT "pas trouv‚ de pivot"

       CALL Pause

       END

      END IF

     END IF

    END IF

    IF i <> 0 THEN

     CALL Permute(etape, i)

     CALL Unifie(etape)

     CALL Neutralise(etape)

'     CALL Affiche

    END IF

  NEXT k

END SUB

SUB Init (nb AS INTEGER)

 SHARED x() AS DOUBLE

 SHARED f() AS STRING

 SHARED colCar() AS STRING

 SHARED nX AS INTEGER

 SHARED nY AS INTEGER

  DIM limY AS INTEGER: limY = 26

  DIM tx(nb + 1, limY) AS DOUBLE

  DIM tf(nb + 1) AS STRING

  DIM tCol AS STRING: tCol = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"

  DIM nEx AS INTEGER: RESTORE exclus: READ nEx

  DIM iEx(nEx) AS INTEGER

  DIM colonne(limY) AS INTEGER

  DIM ligne(nb + 1) AS INTEGER

  DIM i AS INTEGER, i0 AS LONG, j AS INTEGER, ch AS STRING, n AS INTEGER

  FOR i = 1 TO nEx: READ iEx(i): NEXT i

  nX = 0

  FOR i = 1 TO nb + 1

   i0 = i - 1

   IF NOT (IsIn(i0, iEx())) THEN

    nX = nX + 1

    ligne(nX) = i

    tf(i) = Lettre$(i0)

    tx(i, 0) = i0

    FOR j = 1 TO maxY

     tx(i, j) = 0#

    NEXT j

    FOR j = 1 TO LEN(tf(i))

     ch = MID$(tf(i), j, 1)

     IF ch <> " " AND ch <> "-" THEN

     n = ASC(ch) - 64

     tx(i, n) = tx(i, n) + 1

     END IF

    NEXT j

   END IF

  NEXT i

  nY = 0

  FOR j = 1 TO limY

   tx(0, j) = 0

   FOR i = 1 TO nb + 1

    tx(0, j) = tx(0, j) + tx(i, j)

   NEXT i

   IF tx(0, j) <> 0# THEN

    nY = nY + 1

    colonne(nY) = j

   END IF

  NEXT j

  ERASE x, f, colCar

  REDIM x(nX, nY) AS DOUBLE, f(nX) AS STRING, colCar(nY) AS STRING

  FOR j = 1 TO nY: colCar(j) = MID$(tCol, colonne(j), 1): NEXT j

  FOR i = 1 TO nX: f(i) = tf(ligne(i)): x(i, 0) = tx(ligne(i), 0): FOR j = 1 TO nY: x(i, j) = tx(ligne(i), colonne(j)): NEXT j: NEXT i

' CALL Visu(tx(), tCol, tf(), ligne())

END SUB

FUNCTION IsIn (num AS LONG, numEx() AS INTEGER)

'

 SHARED faux AS INTEGER, vrai AS INTEGER

 DIM nb AS INTEGER: nb = UBOUND(numEx)

 DIM i AS INTEGER, Rep AS INTEGER

  i = 1

  Rep = faux

  WHILE NOT (Rep) AND (i <= nb)

   IF num = numEx(i) THEN

    Rep = vrai

   END IF

   i = i + 1

  WEND

IsIn = Rep

END FUNCTION

FUNCTION Lettre$ (p AS LONG)

 IF p = 0 THEN

  Lettre$ = "ZERO"

  EXIT FUNCTION

 END IF

 IF p >= 1000000 THEN

  Lettre$ = ""

  EXIT FUNCTION

 END IF

 DIM Rep AS STRING

  Rep = ""

 DIM cent(4) AS STRING

     cent(0) = ""

     cent(1) = "CENT"

     cent(2) = "MILLE"

     cent(3) = "MILLION"

     cent(4) = "MILLIARD"

 DIM q  AS LONG, q1 AS LONG, r AS LONG, r1 AS LONG

  q = p

  q1 = INT(q / 1000)

  r = q MOD 1000

  SELECT CASE q1

   CASE 0

   CASE 1

    Rep = "mille "

   CASE ELSE

    Rep = MILLE$(q1) + " MILLE "

  END SELECT

  Rep = Rep + MILLE$(r)

 Lettre$ = Rep

END FUNCTION

FUNCTION MILLE$ (p AS LONG)

 IF p > 1000 THEN

  MILLE$ = ""

  EXIT FUNCTION

 END IF

  DIM unite(9) AS STRING

     unite(0) = ""

     unite(1) = "UN"

     unite(2) = "DEUX"

     unite(3) = "TROIS"

     unite(4) = "QUATRE"

     unite(5) = "CINQ"

     unite(6) = "SIX"

     unite(7) = "SEPT"

     unite(8) = "HUIT"

     unite(9) = "NEUF"

 DIM dix(9) AS STRING

     dix(0) = "DIX"

     dix(1) = "ONZE"

     dix(2) = "DOUZE"

     dix(3) = "TREIZE"

     dix(4) = "QUATORZE"

     dix(5) = "QUINZE"

     dix(6) = "SEIZE"

     dix(7) = "DIX-SEPT"

     dix(8) = "DIX-HUIT"

     dix(9) = "DIX-NEUF"

 DIM diz(9) AS STRING

     diz(0) = ""

     diz(1) = "DIX"

     diz(2) = "VINGT"

     diz(3) = "TRENTE"

     diz(4) = "QUARANTE"

     diz(5) = "CINQUANTE"

     diz(6) = "SOIXANTE"

     diz(7) = "SEPTANTE"

     diz(8) = "QUATRE-VINGT"

     diz(9) = "NONANTE"

DIM Rep AS STRING, q AS LONG, q1 AS LONG, r AS LONG, r1 AS LONG

  q = p

  q1 = INT(q / 100)

  r = q MOD 100

  SELECT CASE q1

   CASE IS = 0

   CASE IS = 1

    Rep = "CENT "

   CASE ELSE

     Rep = unite(q1) + " " + "CENT"

     IF r = 0 THEN

      Rep = Rep + "S"

     ELSE

      Rep = Rep + " "

     END IF

   END SELECT

   q = r

   q1 = INT(q / 10)

   r1 = q MOD 10

   SELECT CASE q1

    CASE IS = 0

     Rep = Rep + unite(r1)

    CASE IS = 1

     Rep = Rep + dix(r1)

    CASE ELSE

     Rep = Rep + diz(q1)

     SELECT CASE r1

      CASE 0

       IF q1 = 8 THEN

        Rep = Rep + "S"

       END IF

       Rep = Rep + " "

      CASE IS = 1

       IF q1 = 8 THEN

        Rep = Rep + " " + "UN"

       ELSE

        Rep = Rep + " ET UN"

       END IF

      CASE ELSE

       Rep = Rep + "-" + unite(r1)

     END SELECT

   END SELECT

 MILLE$ = Rep

END FUNCTION

FUNCTION Minimum (n1 AS LONG, n2 AS LONG)

 DIM n AS LONG

 n = n1

 IF n > n2 THEN n = n2

 Minimum = n

END FUNCTION

FUNCTION net$ (p AS STRING, le AS INTEGER)

 net$ = RIGHT$(SPACE$(le) + p, le)

END FUNCTION

SUB Neutralise (lig AS INTEGER)

 SHARED x() AS DOUBLE

 SHARED nX AS INTEGER, nY AS INTEGER

 DIM i AS INTEGER, j AS INTEGER, xx AS DOUBLE

  FOR i = 1 TO nX

   IF i <> lig THEN

    xx = x(i, lig)

    FOR j = 0 TO nY

     x(i, j) = x(i, j) - xx * x(lig, j)

    NEXT j

   END IF

  NEXT i

END SUB

FUNCTION nLettre% (p AS STRING)

' retirer les blancs et les "-"

 DIM txt AS STRING, ch AS STRING

 DIM i AS INTEGER, n AS INTEGER

  n = 0

  txt = p

  FOR i = 1 TO LEN(txt)

   ch = MID$(txt, i, 1)

   IF ch <> " " AND ch <> "-" THEN

    n = n + 1

   END IF

  NEXT i

 nLettre% = n

END FUNCTION

SUB Pause

y$ = ""

WHILE y$ = ""

 y$ = INKEY$

WEND

IF y$ = CHR$(27) THEN END

END SUB

SUB Permute (lig1 AS INTEGER, lig2 AS INTEGER)

 SHARED nY AS INTEGER, f() AS STRING

 DIM j AS LONG, xx AS DOUBLE, ff AS STRING

 IF lig1 <> lig2 THEN

   ff = f(lig1)

   f(lig1) = f(lig2)

   f(lig2) = ff

  FOR j = 0 TO nY

   xx = x(lig1, j)

   x(lig1, j) = x(lig2, j)

   x(lig2, j) = xx

  NEXT j

  END IF

END SUB

FUNCTION pivot% (eta AS INTEGER)

 SHARED vrai AS INTEGER

 SHARED nX AS INTEGER, nY AS INTEGER

 SHARED x() AS DOUBLE, f() AS STRING

 DIM i AS LONG, encore AS INTEGER, Rep AS LONG

  i = eta

  Rep = 0

  encore = vrai

  WHILE encore

   IF x(i, eta) <> 0# THEN

    Rep = i

    encore = faux

   ELSE

    i = i + 1

    IF i > nX THEN

     encore = faux

    END IF

   END IF

  WEND

 pivot = Rep

END FUNCTION

SUB Unifie (lig AS INTEGER)

 SHARED x() AS DOUBLE, nY AS INTEGER

 DIM xx AS DOUBLE, j AS INTEGER

  xx = x(lig, lig)

  FOR j = 0 TO nY

   x(lig, j) = x(lig, j) / xx

  NEXT j

END SUB

SUB Visu (t() AS DOUBLE, tC AS STRING, tf() AS STRING, tlig() AS INTEGER)

 DIM nb AS INTEGER, nt AS INTEGER

 DIM txt0 AS STRING, txt1 AS STRING, txt2 AS STRING, txt3 AS STRING

 DIM j AS INTEGER, i AS INTEGER

 DIM maxX AS INTEGER: maxX = UBOUND(t, 1)

 DIM maxY AS INTEGER: maxY = UBOUND(t, 2)

  nb = 10

  nt = nb + 2 * maxY

   txt1 = SPACE$(nb)

   txt2 = SPACE$(nb)

   FOR j = 1 TO maxY

     txt1 = txt1 + STR$(t(0, j))

     txt2 = txt2 + " " + MID$(tC, j, 1)

   NEXT j

   txt0 = STRING$(nt, "-")

  PRINT txt0

  PRINT txt1

  PRINT txt2

  PRINT txt0

  FOR i = 1 TO maxX

   IF tlig(i) = i THEN

    txt3 = net$(tf(i), nb)

    FOR j = 1 TO maxY

      txt3 = txt3 + STR$(t(i, j))

    NEXT j

    txt3 = txt3 + "=" + STR$(t(i, 0))

    PRINT txt3

   END IF

  NEXT i

  PRINT txt0

END SUB

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  29-09-07 à 21:15
incompatible 
 Posté par 
mikayaoure : JFF_de ZERO à TRENTE-NEUF  30-09-07 à 09:26
ça c'est de la programmation...

 Posté par 
caylusre : JFF_de ZERO à TRENTE-NEUF  30-09-07 à 19:13

Mais j'aurais dû penser aux erreurs d'arrondi.

=>J'ai modifié deux routines et ajouté une fonction.

En réalité le système devient incompatible à partir de "QUARANTE"!

Ce qui explique l'énonçé!

 Cliquez pour afficher

SUB Unifie (lig AS INTEGER)

 SHARED x() AS DOUBLE, nY AS INTEGER

 DIM xx AS DOUBLE, j AS INTEGER

  xx = x(lig, lig)

  FOR j = 0 TO nY

   x(lig, j) = Ajuste#(x(lig, j) / xx)

  NEXT j

END SUB

SUB Neutralise (lig AS INTEGER)

 SHARED x() AS DOUBLE

 SHARED nX AS INTEGER, nY AS INTEGER

 DIM i AS INTEGER, j AS INTEGER, xx AS DOUBLE

  FOR i = 1 TO nX

   IF i <> lig THEN

    xx = x(i, lig)

    FOR j = 0 TO nY

     x(i, j) = Ajuste#((x(i, j) - xx * x(lig, j)))

    NEXT j

   END IF

  NEXT i

END SUB

FUNCTION Ajuste# (p AS DOUBLE)

 DIM Rep AS DOUBLE

 Rep = p

 IF ABS(p) < .0000000001# THEN Rep = 0#

Ajuste# = Rep

END FUNCTION

=====================================

		   1 E N O R U Z

--------------------------------

                ZERO 1 0 1 1 0 1= 0

                  UN 0 1 0 0 1 0= 1

--------------------------------

                   2 D E N O R U X Z

------------------------------------

                DEUX 1 0 0-1-1 1 1-1= 2

                ZERO 0 1 0 1 1 0 0 1= 0

                  UN 0 0 1 0 0 1 0 0= 1

------------------------------------

                   3 D E I N O R S T U X Z

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                DEUX 1 0 0 0-1-1 0 0 1 1-1= 2

                ZERO 0 1 0 0 1 1 0 0 0 0 1= 0

               TROIS 0 0 1 0 1 1 1 1 0 0 0= 3

                  UN 0 0 0 1 0 0 0 0 1 0 0= 1

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                   4 A D E I N O Q R S T U X Z

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              QUATRE 1 0 0 0 0-1 1 0 0 1 1 0-1= 4

                DEUX 0 1 0 0 0-1 0-1 0 0 1 1-1= 2

                ZERO 0 0 1 0 0 1 0 1 0 0 0 0 1= 0

               TROIS 0 0 0 1 0 1 0 1 1 1 0 0 0= 3

                  UN 0 0 0 0 1 0 0 0 0 0 1 0 0= 1

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                   5 A C D E I N O Q R S T U X Z

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              QUATRE 1 0 0 0 0 0-1 1 0 0 1 1 0-1= 4

                CINQ 0 1 0 0 0 0-1 1-1-1-1-1 0 0= 1

                DEUX 0 0 1 0 0 0-1 0-1 0 0 1 1-1= 2

                ZERO 0 0 0 1 0 0 1 0 1 0 0 0 0 1= 0

               TROIS 0 0 0 0 1 0 1 0 1 1 1 0 0 0= 3

                  UN 0 0 0 0 0 1 0 0 0 0 0 1 0 0= 1

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                   6 A C D E I N O Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0-1 0 1 1= 3

               TROIS 0 0 0 0 1 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 1 0 0 0 0 0 1 0 0= 1

                 SIX 0 0 0 0 0 0 1 0 1 0 1 0-1 0=-3

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                   7 A C D E I N O P Q R S T U X Z

--------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0-1 0 1 1= 3

               TROIS 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                 SIX 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

                SEPT 0 0 0 0 0 0 0 1 0 0 1 2 0-1-1= 4

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                   8 A C D E H I N O P Q R S T U X Z

----------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0-1 0 1 1= 3

                HUIT 0 0 0 0 1 0 0 0 0 0 0-1 1 1-1 0= 2

                 SIX 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

               TROIS 0 0 0 0 0 0 0 0 1 0 0 1 2 0-1-1= 4

----------------------------------------------------

                   9 A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 1 1 0 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 0 0 1 0-1 0-1-1 0=-2

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0-1 0 1 1= 3

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0-1-1= 5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0-1 1 1-1 0= 2

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0= 6

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 1 2 0-1-1= 4

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                  10 A C D E F H I N O P S R Q T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 1 1 2 1-1-1= 1

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1-1=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0-1 0 1 1= 3

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0-1-1= 5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2-1-1=-3

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0-1-1 1 1= 11

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0-1 0=-3

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 1-1-1 0= 9

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0-1=-5

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                  11 A C D E F H I N O P S R Q T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 1 2 0-1-1= 11

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1-1=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0-1=-1

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0-1 0 1 1= 3

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0-1-1= 5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 2 2-1-1=-3

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0-1-1 1 1= 11

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 1-1-1 0= 7

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 1-1-1 0= 9

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0-1=-5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0=-10

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                  12 A C D E F H I N O P S R T Q U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2-1 1= 17

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1-1 0=-4

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0= 2

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0-1 1 0= 0

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1-1 0= 8

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 4-1 1= 3

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0-2 1 0= 8

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0= 1

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0=-2

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0=-10

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0-1 0-1=-3

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                  13 A C D E F H I N O P S R T U Q X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 .5 0= 8

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1-.25-.5=-8.5

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1.5-1=-11

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0-.75-.5= 1.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75 .5= 4.5

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                  14 A C D E F H I N O P S R T U Q X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 .5 0= 8

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1-.25-.5=-8.5

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

                 DIX 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1.5-1=-11

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0-.75-.5= 1.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75 .5= 4.5

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                  15 A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

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                  16 A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

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                  17 A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  18 A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  19 A C D E F H I N O P Q R S T U X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-1

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0-.25-.5= 3.5

                HUIT 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0-.5 1= 17

                  UN 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 .75-.5=-3.5

                SEPT 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 10

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .25-.5=-7.5

                ONZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1.5-1=-11

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75-.5= 1.5

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1-.75 .5= 4.5

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  20 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5000000000000001= 15.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-.5 0=-.9999999999999997

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.5-1=-7

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 .25 .5= 4.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0-.25-.5000000000000001= 3.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 .5 0= 5

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2-1=-15

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5 1= 17

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 .75-.5=-3.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0-1 1= 10

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-1 1= 12

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 .2499999999999999-.5000000000000001=-7.499999999999999

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 .75-.5=-14.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1.5-1=-11

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0-.75-.5= 1.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0-.75 .5000000000000001= 4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  21 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  22 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  23 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  24 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  25 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  26 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  27 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  28 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  29 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5000000000000001= 18.5

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0-1= 11

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .5= 7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0-.5000000000000001= .5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0-1= 9

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1= 11

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0-.5= 5.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1=-2

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1= 0

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0-.5000000000000001=-4.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0-.5=-5.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0-1= 7

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0-.5=-7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 .5000000000000001=-4.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  30 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  31 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  32 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  33 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  34 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  35 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  36 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          TRENTE-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  37 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          TRENTE-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  38 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          TRENTE-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

----------------------------------------------------------

                  39 A C D E F G H I N O P Q R S T U V X Z

----------------------------------------------------------

              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          TRENTE-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

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                  40 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          TRENTE-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           QUARANTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 12

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                  41 A C D E F G H I N O P Q R S T U V X Z

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              QUATRE 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 3.499999999999996

                CINQ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7

                DEUX 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 41.00000000000001

                ZERO 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0=-7.5

                NEUF 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 15.5

              VINGT  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0= 11

                HUIT 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0= 39

                 SIX 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0=-19

                ONZE 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0= 20.5

               TROIS 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0=-32

                SEPT 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0=-30

              QUINZE 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0= 10.5

               DOUZE 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0= 9.5

              TREIZE 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0= 37

                 DIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0= 7.5

                  UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0=-19.5

            DIX-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0=-12

             TRENTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1= 30

            DIX-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         VINGT-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        VINGT-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           VINGT-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          VINGT-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

            DIX-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-DEUX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

        TRENTE-TROIS 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

       TRENTE-QUATRE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-CINQ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

          TRENTE-SIX 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-SEPT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-HUIT 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

         TRENTE-NEUF 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 0

           QUARANTE  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 12

      QUARANTE ET UN 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0= 12

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  Posté par 
lo5707re : JFF_de ZERO à TRENTE-NEUF  30-09-07 à 20:37
effectivemment, D'où l'énoncé:

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