\( %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Mes commandes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\multirows}[3]{\multirow{#1}{#2}{$#3$}}%pour rester en mode math \renewcommand{\arraystretch}{1.3}%pour augmenter la taille des case \newcommand{\point}[1]{\marginnote{\small\vspace*{-1em} #1}}%pour indiquer les points ou le temps \newcommand{\dpl}[1]{\displaystyle{#1}}%megamode \newcommand{\A}{\mathscr{A}} \newcommand{\LN}{\mathscr{N}} \newcommand{\LL}{\mathscr{L}} \newcommand{\K}{\mathbb{K}} \newcommand{\N}{\mathbb{N}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\R}{\mathbb{R}} \newcommand{\C}{\mathbb{C}} \newcommand{\M}{\mathcal{M}} \newcommand{\D}{\mathbb{D}} \newcommand{\E}{\mathcal{E}} \renewcommand{\P}{\mathcal{P}} \newcommand{\G}{\mathcal{G}} \newcommand{\Kk}{\mathcal{K}} \newcommand{\Cc}{\mathcal{C}} \newcommand{\Zz}{\mathcal{Z}} \newcommand{\Ss}{\mathcal{S}} \newcommand{\B}{\mathbb{B}} \newcommand{\inde}{\bot\!\!\!\bot} \newcommand{\Proba}{\mathbb{P}} \newcommand{\Esp}[1]{\dpl{\mathbb{E}\left(#1\right)}} \newcommand{\Var}[1]{\dpl{\mathbb{V}\left(#1\right)}} \newcommand{\Cov}[1]{\dpl{Cov\left(#1\right)}} \newcommand{\base}{\mathcal{B}} \newcommand{\Som}{\textbf{Som}} \newcommand{\Chain}{\textbf{Chain}} \newcommand{\Ar}{\textbf{Ar}} \newcommand{\Arc}{\textbf{Arc}} \newcommand{\Min}{\text{Min}} \newcommand{\Max}{\text{Max}} \newcommand{\Ker}{\text{Ker}} \renewcommand{\Im}{\text{Im}} \newcommand{\Sup}{\text{Sup}} \newcommand{\Inf}{\text{Inf}} \renewcommand{\det}{\texttt{det}} \newcommand{\GL}{\text{GL}} \newcommand{\crossmark}{\text{\ding{55}}} \renewcommand{\checkmark}{\text{\ding{51}}} \newcommand{\Card}{\sharp} \newcommand{\Surligne}[2]{\text{\colorbox{#1}{ #2 }}} \newcommand{\SurligneMM}[2]{\text{\colorbox{#1}{ #2 }}} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} \renewcommand{\lim}[1]{\underset{#1}{lim}\,} \newcommand{\nonor}[1]{\left|#1\right|} \newcommand{\Un}{1\!\!1} \newcommand{\sepon}{\setlength{\columnseprule}{0.5pt}} \newcommand{\sepoff}{\setlength{\columnseprule}{0pt}} \newcommand{\flux}{Flux} \newcommand{\Cpp}{\texttt{C++\ }} \newcommand{\Python}{\texttt{Python\ }} %\newcommand{\comb}[2]{\begin{pmatrix} #1\\ #2\end{pmatrix}} \newcommand{\comb}[2]{C_{#1}^{#2}} \newcommand{\arrang}[2]{A_{#1}^{#2}} \newcommand{\supp}[1]{Supp\left(#1\right)} \newcommand{\BB}{\mathcal{B}} \newcommand{\arc}[1]{\overset{\rotatebox{90}{)}}{#1}} \newcommand{\modpi}{\equiv_{2\pi}} \renewcommand{\Re}{Re} \renewcommand{\Im}{Im} \renewcommand{\bar}[1]{\overline{#1}} \newcommand{\mat}{\mathcal{M}} \newcommand{\und}[1]{{\mathbf{\color{red}\underline{#1}}}} \newcommand{\rdots}{\text{\reflectbox{$\ddots$}}} \newcommand{\Compa}{Compa} \newcommand{\dint}{\dpl{\int}} \newcommand{\intEFF}[2]{\left[\!\left[#1 ; #2\right]\!\right]} \newcommand{\intEFO}[2]{\left[\!\left[#1 ; #2\right[\!\right[} \newcommand{\intEOF}[2]{\left]\!\left]#1 ; #2\right]\!\right]} \newcommand{\intEOO}[2]{\left]\!\left]#1 ; #2\right[\!\right[} \newcommand{\ou}{\vee} \newcommand{\et}{\wedge} \newcommand{\non}{\neg} \newcommand{\implique}{\Rightarrow} \newcommand{\equivalent}{\Leftrightarrow} \newcommand{\Ab}{\overline{A}} \newcommand{\Bb}{\overline{B}} \newcommand{\Cb}{\overline{C}} \newcommand{\Cl}{\texttt{Cl}} \newcommand{\ab}{\overline{a}} \newcommand{\bb}{\overline{b}} \newcommand{\cb}{\overline{c}} \newcommand{\Rel}{\mathcal{R}} \newcommand{\superepsilon}{\varepsilon\!\!\varepsilon} \newcommand{\supere}{e\!\!e} \makeatletter \newenvironment{console}{\noindent\color{white}\begin{lrbox}{\@tempboxa}\begin{minipage}{\columnwidth} \ttfamily \bfseries\vspace*{0.5cm}} {\vspace*{0.5cm}\end{minipage}\end{lrbox}\colorbox{black}{\usebox{\@tempboxa}} } \makeatother \def\ie{\textit{i.e. }} \def\cf{\textit{c.f. }} \def\vide{ { $ {\text{ }} $ } } %Commande pour les vecteurs \newcommand{\grad}{\overrightarrow{Grad}} \newcommand{\Vv}{\overrightarrow{v}} \newcommand{\Vu}{\overrightarrow{u}} \newcommand{\Vw}{\overrightarrow{w}} \newcommand{\Vup}{\overrightarrow{u'}} \newcommand{\Zero}{\overrightarrow{0}} \newcommand{\Vx}{\overrightarrow{x}} \newcommand{\Vy}{\overrightarrow{y}} \newcommand{\Vz}{\overrightarrow{z}} \newcommand{\Vt}{\overrightarrow{t}} \newcommand{\Va}{\overrightarrow{a}} \newcommand{\Vb}{\overrightarrow{b}} \newcommand{\Vc}{\overrightarrow{c}} \newcommand{\Vd}{\overrightarrow{d}} \newcommand{\Ve}[1]{\overrightarrow{e_{#1}}} \newcommand{\Vf}[1]{\overrightarrow{f_{#1}}} \newcommand{\Vn}{\overrightarrow{0}} \newcommand{\Mat}{Mat} \newcommand{\Pass}{Pass} \newcommand{\mkF}{\mathfrak{F}} \renewcommand{\sp}{Sp} \newcommand{\Co}{Co} \newcommand{\vect}[1]{\texttt{Vect}\dpl{\left( #1\right)}} \newcommand{\prodscal}[2]{\dpl{\left\langle #1\left|\vphantom{#1 #2}\right. #2\right\rangle}} \newcommand{\trans}[1]{{\vphantom{#1}}^{t}{#1}} \newcommand{\ortho}[1]{{#1}^{\bot}} \newcommand{\oplusbot}{\overset{\bot}{\oplus}} \SelectTips{cm}{12}%Change le bout des flèches dans un xymatrix \newcommand{\pourDES}[8]{ \begin{itemize} \item Pour la ligne : le premier et dernier caractère forment $#1#2$ soit $#4$ en base 10. \item Pour la colonne : les autres caractères du bloc forment $#3$ soit $#5$ en base 10. \item A l'intersection de la ligne $#4+1$ et de la colonne $#5+1$ de $S_{#8}$ se trouve l'entier $#6$ qui, codé sur $4$ bits, est \textbf{\texttt{$#7$}}. \end{itemize} } \)
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Exercice

L'exercice suivant est automatiquement et aléatoirement généré par ataraXy.
Si vous regénérez la page (F5) les valeurs seront changées.
La correction se trouve en bas de page.

Exercice


Vous trouverez un message chiffré par la méthode de vigénère. Vous ne connaissez pas la clef mais vous savez que le texte est en français et que, dans cette langue, la lettre la plus fréquente est le E. Déterminer la clef de chiffrement utilisée. Vous trouverez en annexe différentes analyses statistiques sur le cryptogramme. Lorsqu'une ligne indique \( Freq\ x\%n + i\) cela signifie que sur la ligne concernée la fréquence d'apparition des lettres est donnée tout les \( n\) caractères décalés de \( i\) .
\[\begin{array}{|r|*{25}{|c}|} \hline 0 & M & V & M & R & J & V & M & Z & P & K & I & K & E & X & I & K & A & P & R & D & R & V & M & R & O\\\hline 25 & I & Q & H & N & Z & Y & Q & E & G & E & Q & A & D & W & N & N & H & E & I & E & P & V & D & E & N\\\hline 50 & X & P & U & Z & P & D & S & H & E & B & H & D & R & D & S & N & S & M & T & Y & I & U & E & I & Y\\\hline 75 & D & S & K & P & T & S & K & Y & H & S & N & E & M & T & Z & W & C & E & K & P & T & S & D & I & T\\\hline 100 & R & N & S & Q & D & M & I & R & D & Z & Q & Z & G & I & M & S & U & Y & I & O & O & P & V & K & E\\\hline 125 & Y & M & Q & E & Y & I & L & A & I & M & D & R & Z & E & A & R & P & T & S & E & O & \color{red}{\textbf{E}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}}\\\hline 150 & \color{red}{\textbf{Y}} & H & L & I & C & Z & V & V & M & S & P & V & W & C & E & H & E & B & H & D & R & D & S & G & E\\\hline 175 & \color{red}{\textbf{O}} & \color{red}{\textbf{R}} & \color{red}{\textbf{J}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & N & Z & X & Z & I & O & T & Z & S & Y & Y & S\\\hline 200 & O & P & X & T & N & K & V & N & \color{red}{\textbf{B}} & \color{red}{\textbf{G}} & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & L & Y & Z & N & Y & R & N & U & N & E & U & I\\\hline 225 & J & R & R & Q & P & I & K & Q & P & I & R & O & M & H & H & N & V & X & D & U & M & W & C & E & A\\\hline 250 & E & H & B & G & I & O & U & D & W & R & A & I & G & D & L & V & \color{red}{\textbf{T}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{O}} & \color{red}{\textbf{B}} & \color{red}{\textbf{V}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{M}} & \color{red}{\textbf{H}} & \color{red}{\textbf{E}}\\\hline 275 & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & \color{red}{\textbf{E}} & Q & M & M & T & P & R & K & E & B & I & Q & P & M & S & A & L & Z & Q & D\\\hline 300 & E & O & Q & Z & I & I & X & D & N & V & R & S & Q & P & I & M & O & P & W & Z & V & J & R & R & D\\\hline 325 & Z & W & N & R & Y & M & M & A & O & I & T & R & N & G & N & L & J & W & R & A & P & B & K & A & \color{red}{\textbf{K}}\\\hline 350 & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{G}} & \color{red}{\textbf{M}} & \color{red}{\textbf{E}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{I}} & R & T & Y & I & U & E & I & Y & D & U & I & T\\\hline 375 & Q & O & W & P & D & M & Z & X & N & U & O & \color{red}{\textbf{E}} & \color{red}{\textbf{T}} & \color{red}{\textbf{S}} & \color{red}{\textbf{N}} & \color{red}{\textbf{M}} & B & O & G & S & R & S & V & P & D\\\hline 400 & N & X & I & R & E & I & W & K & I & I & H & T & S & O & V & H & E & Y & I & K & E & G & I & B & T\\\hline 425 & M & S & M & I & L & Y & D & N & V & T & Z & S & M & I & R & O & G & Y & T & N & N & I & T & L & K\\\hline 450 & V & N & \color{red}{\textbf{B}} & \color{red}{\textbf{G}} & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & Z & P & K & E & Z & R & Z & S & Z & Y & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{H}} & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & X & V\\\hline 475 & D & E & Z & P & K & E & V & G & Q & E & Z & P & D & P & M & S & A & L & Z & Q & D & C & J & R & R\\\hline 500 & I & N & X & Z & N & O & E & \color{red}{\textbf{T}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{P}} & \color{red}{\textbf{H}} & S & Z & V & R & E & N & T & Q & O & Y & Y & H & T\\\hline 525 & N & H & H & T & Y & Y & M & E & V & Y & S & R & Z & Q & Z & N & D & I & Q & E & V & P & N & R & N\\\hline 550 & U & T & E & G & E & O & U & D & W & R & A & I & G & D & D & Z & W & \color{red}{\textbf{L}} & \color{red}{\textbf{A}} & \color{red}{\textbf{X}} & \color{red}{\textbf{L}} & \color{red}{\textbf{H}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Z}} & W\\\hline 575 & C & I & N & T & N & N & D & F & K & E & N & G & Q & O & D & W & R & A & D & X & C & U & I & J & Z\\\hline 600 & C & O & I & T & R & Y & I & O & L & P & W & C & E & H & M & K & L & Z & P & D & S & P & W & Z & G\\\hline 625 & Z & W & P & U & Z & Z & N & U & G & E & H & T & Z & R & E & A & D & V & D & L & V & W & N & C & D\\\hline 650 & I & S & E & X & V & N & I & N & W & Z & I & Z & R & S & E & I & T & Q & O & K & S & Q & T & D & S\\\hline 675 & M & E & O & G & D & F & P & X & K & E & K & E & T & V & M & I & \color{red}{\textbf{O}} & \color{red}{\textbf{R}} & \color{red}{\textbf{J}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}}\\\hline 700 & U & M & U & T & I & O & V & N & U & Q & E & R & O & I & X & Q & A & Q & E & H & L & K & V & H & S\\\hline 725 & Y & E & M & S & X & I & S & T & Z & X & D & N & N & M & N & N & Z & R & S & R & Z & P & D & S & H\\\hline 750 & S & X & E & I & W & D & T & G & I & R & F & D & R & R & L & V & T & T & I & N & W & Z & N & X & I\\\hline 775 & Z & C & X & V & T & E & Y & Y & L & A & O & I & Q & I & Z & P & B & O & H & F & H & N & Z & I & Z\\\hline 800 & L & V & Y & F & M & Z & R & S & \color{red}{\textbf{A}} & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & K & I & T & T & Z & X & Q & E & Z & R & B & O\\\hline 825 & M & I & O & L & P & W & H & M & K & S & Q & T & V & R & S & E & Y & I & R & A & A & M & Z & B & D\\\hline 850 & P & H & T & Z & V & D & N & Y & E & H & T & M & I & Z & L & D & W & Z & B & G & I & R & D & Z & W\\\hline 875 & R & O & G & Y & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{G}} & \color{red}{\textbf{M}} & \color{red}{\textbf{E}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & Z & Y & Q\\\hline 900 & N & V & Y & Q & A & D & X & L & E & H & I & O & A & N & S & R & E & M & I & U & E & M & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}}\\\hline 925 & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{N}} & E & M & N & Z & I & R & A & P & T & Z & R & V & Z & Z & N & O & I & S & M & V\\\hline 950 & M & M & T & Z & R & Z & N & O & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{N}} & E & M & N & Z & I & R & P & G & Y\\\hline 975 & R & T & V & V & C & I & G & H & D & V & V & M & S & L & Z & W & Q & E & Q & I & Q & E & O & F & H\\\hline 1000 & E & I & T & H & R & Z & M & K & D & Z & Z & Z & I & O & X & Q & A & I & W & E & O & M & Q & D & R\\\hline 1025 & X & I & R & R & Z & Z & D & S & Z & R & Q & E & V & P & H & T & Z & I & R & T & X & I & R & I & Z\\\hline 1050 & X & N & N & I & \color{red}{\textbf{E}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{R}} & N & J & Y & R & S & J & C & N & N & N & V\\\hline 1075 & D & T & M & S & T & V & Z & W & C & A & I & W & T & N & Z & G & Q & I & N & I & C & U & G & S & F\\\hline 1100 & I & X & M & D & L & I & S & M & C & Z & V & S & A & D & R & \color{red}{\textbf{D}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & \color{red}{\textbf{P}} & \color{red}{\textbf{V}} & \color{red}{\textbf{W}} & D & T\\\hline 1125 & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & Z & N & U & N & T & N & U & Q & I & Y & L & Z & H & D & V & D & R & D & R & X\\\hline 1150 & I & K & A & V & Z & Z & I & O & Q & D & M & Z & I & S & E & K & V & D & D & D & X & A & I & Z & R\\\hline 1175 & Z & L & V & Z & Z & N & X & I & L & A & D & W & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{B}} & \color{red}{\textbf{G}} & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & V & Z & D\\\hline 1200 & C & G & I & R & P & M & S & O & H & Z & X & D & S & H & M & M & E & P & V & R & B & D & I & M & S\\\hline 1225 & P & V & B & E & N & X & P & U & J & R & M & E & N & E & H & T & Q & V & Z & I & H & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}}\\\hline 1250 & \color{red}{\textbf{Y}} & H & L & N & E & U & A & D & I & M & T & M & E & H & S & J & R & P & U & Z & G & H & N & L & E\\\hline \end{array}\] \[\begin{array}{|r|*{25}{|c}|} \hline 1275 & M & S & V & T & Q & E & N & T & T & I & N & E & T & M & D & P & H & E & P & H & D & S & V & R & M\\\hline 1300 & E & Z & W & R & O & D & B & Z & N & O & I & P & U & Z & P & P & U & Z & G & G & O & N & I & C & E\\\hline 1325 & O & I & Q & R & D & F & K & E & V & V & Q & I & Q & E & K & E & N & S & Q & D & D & R & Z & T & Z\\\hline 1350 & Y & Q & S & Y & I & K & A & K & V & D & T & Z & R & C & U & Z & X & Q & O & D & W & H & E & H & I\\\hline 1375 & F & E & I & I & Q & \color{red}{\textbf{A}} & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & A & M & Q & E & I & X & K & E & P & V & Z & P & K & E & Q\\\hline 1400 & I & O & M & N & N & G & E & K & I & O & X & D & R & V & X & T & R & Z & S & E & F & D & G & H & E\\\hline 1425 & G & P & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{R}} & D & D & X & P & U & P & R & C & E & N & S & A & J & Z & G & S & I & A\\\hline 1450 & W & L & A & E & I & T & R & N & H & D & L & Z & Y & Q & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{B}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{I}}\\\hline 1475 & S & A & D & X & K & E & P & V & Q & A & O & M & N & P & M & M & W & P & Z & V & E & O & M & Q & Z\\\hline 1500 & N & X & I & L & A & D & W & R & I & Q & S & T & S & K & V & D & N & Z & D & B & O & H & Q & D & C\\\hline 1525 & M & M & S & E & M & I & C & E & K & I & Q & F & J & V & L & A & I & G & D & L & Z & G & X & C & G\\\hline 1550 & I & C & A & X & X & H & V & D & X & D & D & Z & W & C & I & Q & I & Q & S & X & S & L & P & J & W\\\hline 1575 & Z & N & O & W & C & E & G & E & \color{red}{\textbf{L}} & \color{red}{\textbf{A}} & \color{red}{\textbf{X}} & \color{red}{\textbf{L}} & \color{red}{\textbf{H}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Z}} & Z & N & U & N & T & N & U & Q & I & Y\\\hline 1600 & T & M & I & R & B & D & I & M & V & J & Y & R & R & Z & X & Q & O & P & Z & D & R & V & Z & D & C\\\hline 1625 & P & R & L & O & Y & I & K & E & Y & I & B & O & I & G & D & P & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}} & E & M & S & G\\\hline 1650 & I & P & U & Z & P & K & A & K & E & Q & T & G & E & O & L & P & \color{red}{\textbf{W}} & \color{red}{\textbf{F}} & \color{red}{\textbf{R}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & E & Y & I\\\hline 1675 & U & O & O & V & D & O & W & N & D & C & O & M & E & D & Z & T & D & R & \color{red}{\textbf{A}} & \color{red}{\textbf{S}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{M}} & \color{red}{\textbf{V}} & R & B\\\hline 1700 & E & Z & W & S & A & O & X & D & I & I & X & D & P & V & V & C & E & N & E & B & T & D & Z & H & T\\\hline 1725 & Z & W & C & E & I & I & S & T & J & C & Z & G & Z & M & M & T & Z & V & M & E & Y & Y & M & E & I\\\hline 1750 & I & B & E & N & W & H & T & Z & H & N & U & O & I & T & S & Z & I & S & S & D & Z & N & T & M & I\\\hline 1775 & C & E & A & M & M & I & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}} & Y & O & R & D & B & D & S & O & P & D & P & M & M & W\\\hline 1800 & A & K & E & X & E & M & T & N & U & M & P & D & M & V & X & D & R & D & I & K & V & J & Y & R & P\\\hline 1825 & J & Y & U & E & U & X & Q & E & N & F & H & E & I & Z & N & U & N & V & D & T & M & S & T & V & Z\\\hline 1850 & V & Z & V & Z & G & T & N & H & S & C & E & G & I & S & E & M & V & H & \color{red}{\textbf{B}} & \color{red}{\textbf{G}} & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}}\\\hline 1875 & C & I & A & J & H & C & D & P & D & A & \color{red}{\textbf{K}} & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{G}} & \color{red}{\textbf{M}} & \color{red}{\textbf{E}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & Z & V & O & A & M & I & W\\\hline 1900 & E & H & T & K & E & G & I & B & O & Y & I & C & I & I & W & S & R & P & G & S & I & J & R & O & E\\\hline 1925 & P & X & D & T & M & I & S & E & G & U & T & I & G & J & N & R & X & I & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{G}} & \color{red}{\textbf{M}}\\\hline 1950 & \color{red}{\textbf{E}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & Z & Y & Q & O & P & P & D & S & T & W & S & E & H & I & Z & P & M & I & M & D & M & I\\\hline 1975 & C & E & N & H & D & C & D & W & H & O & I & W & C & E & G & M & D & N & V & R & S & I & X & M & O\\\hline 2000 & E & K & V & D & S & Z & R & S & A & I & X & C & E & N & G & N & N & A & P & H & T & N & U & T & I\\\hline 2025 & I & I & O & E & P & Z & D & N & O & V & D & E & G & P & \color{red}{\textbf{D}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & \color{red}{\textbf{P}} & \color{red}{\textbf{V}} & \color{red}{\textbf{W}} & D & T & M\\\hline 2050 & I & Q & E & N & S & K & U & N & I & S & D & V & R & R & U & I & I & K & A & M & K & D & M & Z & W\\\hline 2075 & T & R & Z & G & D & S & K & S & R & S & D & F & H & L & D & X & D & S & Y & I & O & L & V & M & R\\\hline 2100 & A & I & X & D & S & N & I & L & B & G & I & M & T & N & I & S & R & Z & V & D & A & G & M & R & E\\\hline 2125 & Z & W & P & U & V & R & C & C & Z & W & \color{red}{\textbf{L}} & \color{red}{\textbf{A}} & \color{red}{\textbf{X}} & \color{red}{\textbf{L}} & \color{red}{\textbf{H}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Z}} & W & E & U & M & I & M & T & V\\\hline 2150 & R & M & O & I & G & D & E & N & I & S & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & P & V & R & C & V & V & Z & C & O & I\\\hline 2175 & Q & I & N & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & R & F & J & R & B & T & D & S & M & N & Z & P & K & E & N & J & T\\\hline 2200 & R & Z & R & S & C & J & R & M & U & Z & W & B & E & G & E & B & H & V & K & Q & I & I & E & T & N\\\hline 2225 & X & I & Q & T & V & M & M & N & J & Q & A & R & Z & H & D & N & O & V & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{R}} & E & I\\\hline 2250 & X & N & U & O & G & Z & S & H & S & H & O & I & T & N & U & Q & E & H & T & M & E & H & S & J & R\\\hline 2275 & M & A & W & P & \color{red}{\textbf{D}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & S & V & X & S & E & I & H & Q & E & V & G & D & Q & P & I & C\\\hline 2300 & E & N & Q & Z & C & C & M & M & E & N & H & D & C & Z & X & X & P & Z & M & M & O & I & H & D & N\\\hline 2325 & O & P & Z & C & J & Q & L & U & I & E & T & T & Z & M & M & F & J & V & L & A & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}}\\\hline 2350 & M & K & E & O & E & H & T & Y & S & M & C & Y & E & T & T & V & R & S & P & G & Y & R & I & H & T\\\hline 2375 & N & R & O & \color{red}{\textbf{E}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{D}} & L & Z & Y & Q & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{B}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & W & N\\\hline 2400 & I & O & \color{red}{\textbf{E}} & \color{red}{\textbf{T}} & \color{red}{\textbf{S}} & \color{red}{\textbf{N}} & \color{red}{\textbf{M}} & B & O & M & V & D & C & O & I & P & U & Z & T & N & S & N & M & A & L\\\hline 2425 & Z & Q & Z & I & N & P & D & M & J & H & D & L & Z & H & D & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{B}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}}\\\hline 2450 & V & D & N & A & I & Q & M & V & M & S & D & Z & W & C & E & A & E & T & T & N & W & H & I & H & T\\\hline 2475 & N & R & O & E & M & T & N & U & T & E & E & I & T & S & G & M & L & P & M & I & R & S & D & S & M\\\hline 2500 & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{G}} & \color{red}{\textbf{M}} & I & R & D & Z & P & H & N & \color{red}{\textbf{A}} & \color{red}{\textbf{S}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{M}} & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}}\\\hline \end{array}\] \[\begin{array}{|r|*{25}{|c}|} \hline 2525 & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & Z & V & V & M & S & E & O & I & Q & E & O & E & Q & D & Z & H & T & N & N & I & T & L & X\\\hline 2550 & S & T & P & Y & E & T & M & J & M & M & S & Y & M & W & A & I & W & B & E & A & Y & S & A & X & I\\\hline 2575 & L & O & H & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{D}} & J & Z & G & N & N & I & Y & R & L & V & W & D & M & V & M & M\\\hline 2600 & E & G & E & O & L & P & W & R & O & H & F & Q & E & Y & I & S & O & P & X & D & M & V & Z & H & E\\\hline 2625 & K & V & N & F & Z & W & R & I & J & R & M & E & G & P & D & L & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{K}} & \color{red}{\textbf{U}} & \color{red}{\textbf{N}} & E & E & F & G\\\hline 2650 & M & F & E & V & R & S & P & Z & Y & S & E & O & V & D & E & N & X & P & U & Z & Q & D & M & Z & E\\\hline 2675 & O & R & Z & W & S & O & P & X & D & S & X & I & R & A & I & R & D & E & N & H & D & X & K & I & Q\\\hline 2700 & I & Z & R & B & E & A & V & T & S & O & V & Z & N & O & I & R & I & G & C & Z & T & J & Y & I & O\\\hline 2725 & P & V & R & T & V & R & S & D & Z & K & D & N & N & U & T & I & X & V & N & I & Z & R & S & H & J\\\hline 2750 & R & M & E & O & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & P & U & Z & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & G & S & H & D & Z & P\\\hline 2775 & Z & N & V & X & T & R & Z & R & N & U & N & H & H & T & L & Y & D & L & Z & W & \color{red}{\textbf{L}} & \color{red}{\textbf{A}} & \color{red}{\textbf{X}} & \color{red}{\textbf{L}} & \color{red}{\textbf{H}}\\\hline 2800 & \color{red}{\textbf{N}} & \color{red}{\textbf{Z}} & W & C & O & D & Z & D & N & O & I & S & R & Z & E & H & N & N & M & H & L & N & J & N & N\\\hline 2825 & O & X & Z & I & M & I & K & E & P & V & R & D & J & Y & S & E & N & I & M & C & J & R & R & I & Y\\\hline 2850 & I & Q & A & I & X & K & A & L & Y & Z & N & O & M & S & E & Y & I & B & E & N & Q & Z & C & C & M\\\hline 2875 & M & E & N & U & T & I & N & I & R & T & Q & I & M & D & P & I & D & T & Z & R & Q & E & O & M & Q\\\hline 2900 & E & I & X & K & A & A & E & T & S & N & I & H & M & K & V & D & S & N & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{I}} & R & E\\\hline 2925 & X & Y & Q & I & O & I & P & U & V & T & Q & E & N & X & N & U & O & P & Z & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{B}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}}\\\hline 2950 & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & Z & P & P & I & M & E & O & V & D & S & D & Q & Z & U & Q & E & H & S & Z & Q\\\hline 2975 & Z & I & N & I & M & Y & M & I & F & A & M & H & Z & N & O & H & D & P & G & Y & R & P & M & I & R\\\hline 3000 & C & Z & X & S & E & G & M & F & N & Z & H & D & D & Z & J & D & N & N & I & Z & L & V & Q & D & M\\\hline 3025 & Z & J & N & R & X & I & C & E & X & S & M & V & D & G & S & I & J & R & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{P}} & \color{red}{\textbf{Z}} & R & B\\\hline 3050 & Y & L & E & I & X & R & E & G & S & M & L & Z & U & T & E & G & J & T & M & Z & V & C & E & N & G\\\hline 3075 & H & G & V & V & D & T & O & I & R & S & Z & V & Z & I & O & F & N & N & K & S & T & R & G & E & R\\\hline 3100 & A & I & X & D & P & P & M & R & Q & P & I & S & A & I & X & C & E & B & I & M & S & G & I & E & O\\\hline 3125 & I & X & B & E & N & X & Z & C & Z & X & D & G & V & V & C & Q & P & I & I & E & M & I & F & R & Z\\\hline 3150 & X & S & E & L & Y & H & L & I & I & R & O & D & X & O & A & N & H & Z & N & N & P & G & A & W & M\\\hline 3175 & S & U & Y & I & C & E & N & N & N & U & M & R & Z & U & S & W & B & I & Z & R & S & I & A & M & P\\\hline 3200 & U & Z & W & C & A & I & W & K & E & Y & S & L & A & D & R & D & D & Z & P & H & N & \color{red}{\textbf{A}} & \color{red}{\textbf{S}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{M}}\\\hline 3225 & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & C & E & K & Y & A & L & D & I & Q & D & Z & W & S & E & N & X & R & D & Z\\\hline 3250 & W & N & R & Y & M & M & A & O & I & T & R & N & R & N & U & Q & I & K & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{O}} & E\\\hline 3275 & M & N & J & R & B & E & N & H & D & L & V & Q & D & M & Z & Q & Z & N & D & I & Q & E & L & Y & \color{red}{\textbf{D}}\\\hline 3300 & \color{red}{\textbf{N}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{R}} & E & S & E & L & I & I & S & M & S & G & I & R & P & P & F & K & I & X & \color{red}{\textbf{E}} & \color{red}{\textbf{S}} & \color{red}{\textbf{I}}\\\hline 3325 & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & S & X & M & D & N & O & M & E & I & L & Y & D & S & P & R & D & X & V & Q & D & N & Y\\\hline 3350 & I & R & M & V & G & G & I & I & I & R & S & Z & V & Z & I & O & E & T & M & J & M & M & S & V & Y\\\hline 3375 & R & S & D & M & L & P & J & V & S & A & I & X & I & E & Y & S & H & S & Y & E & H & L & G & I & T\\\hline 3400 & R & N & J & Z & I & M & I & T & N & V & Z & D & U & V & Y & C & E & W & Y & S & D & Z & W & Z & N\\\hline 3425 & I & I & D & S & N & S & H & X & V & R & S & E & E & I & B & R & D & Z & H & S & P & R & S & E & G\\\hline 3450 & I & W & A & H & I & M & \color{red}{\textbf{D}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & \color{red}{\textbf{L}} & D & R & S & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & D & L & Z & W\\\hline 3475 & N & U & H & I & S & T & M & I & Z & U & S & G & Z & C & H & Q & Z & I & N & Q & Z & L & B & V & D\\\hline 3500 & L & Z & J & Z & I & O & U & T & E & G & I & R & R & V & V & D & S & X & S & K & L & Z & K & T & E\\\hline 3525 & N & E & P & U & D & P & D & T & Z & B & S & E & A & Y & S & E & I & Z & N & Y & Z & T & N & U & M\\\hline 3550 & E & U & I & N & Q & D & P & J & Y & R & S & V & M & D & N & O & X & N & U & N & E & K & E & A & E\\\hline 3575 & H & R & Z & N & D & N & Z & P & N & S & V & M & R & P & V & W & B & R & V & M & F & N & V & R & S\\\hline 3600 & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & N & H & H & F & A & M & B & U & G & X & D & S & V & Y & W & Q & P & I & K & L\\\hline 3625 & Z & W & I & A & P & V & Z & I & N & S & T & A & P & B & P & U & Z & P & K & E & N & P & Z & C & J\\\hline 3650 & Q & L & I & N & W & H & O & I & I & C & I & O & S & Q & I & V & P & D & A & P & V & Z & I & O & E\\\hline 3675 & E & A & D & V & D & F & V & G & D & N & Z & W & Z & V & Z & V & D & N & O & X & Q & O & K & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}}\\\hline 3700 & \color{red}{\textbf{A}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & \color{red}{\textbf{D}} & S & X & I & S & T & Z & Q & H & S & Z & E & K & A & O & V & Z & P & K & I & E & U\\\hline 3725 & O & H & D & M & V & T & Z & R & O & Y & M & A & X & X & D & D & Z & P & Z & C & C & I & S & E & L\\\hline 3750 & Y & D & J & Z & Q & D & R & Z & T & Q & O & X & L & D & D & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{K}} & \color{red}{\textbf{U}} & \color{red}{\textbf{N}} & I & M & P & G & Y\\\hline \end{array}\] \[\begin{array}{|r|*{25}{|c}|} \hline 3775 & R & L & Z & W & C & I & A & J & H & C & P & P & S & E & N & U & T & E & E & E & M & T & D & G & H\\\hline 3800 & P & V & M & R & D & Z & G & N & U & G & E & H & E & I & X & C & E & G & E & A & S & Z & R & B & E\\\hline 3825 & Y & I & B & R & D & X & D & R & Z & W & F & E & I & I & Q & A & G & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & Z & C & X\\\hline 3850 & I & O & T & Z & W & D & T & W & M & D & N & L & Y & D & J & Z & J & T & S & N & I & B & O & I & Z\\\hline 3875 & Z & I & I & G & T & D & Z & P & Z & V & V & P & H & D & D & X & D & D & Z & W & B & R & D & X & D\\\hline 3900 & R & Z & W & P & U & Z & N & Z & V & V & M & R & C & C & S & H & S & D & H & Z & P & K & P & H & Q\\\hline 3925 & P & I & Q & J & Z & G & Q & A & D & K & M & A & D & W & P & U & Z & Q & N & N & V & V & S & I & X\\\hline 3950 & P & D & N & Z & W & N & I & O & V & D & F & P & W & D & O & P & I & B & A & M & X & D & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Q}}\\\hline 3975 & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & P & R & D & Q & P & I & R & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{D}} & \color{red}{\textbf{Z}} & K & N & U & O & T & D & R & N & S & M\\\hline 4000 & N & Z & P & I & E & X & V & N & I & N & X & N & U & E & S & T & R & N & U & T & E & Y & I & S & E\\\hline 4025 & G & W & Z & R & O & M & B & L & Z & W & R & E & M & E & H & E & I & X & D & X & O & V & D & M & \color{red}{\textbf{Z}}\\\hline 4050 & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{O}} & Y & S & I & G & I & R & E & O & N & D & S & K & I & Q & E & G & I & R & V & J & M\\\hline 4075 & Q & A & K & T & Z & R & V & M & S & R & Z & G & Z & R & G & I & T & R & V & G & B & E & K & X & \color{red}{\textbf{Z}}\\\hline 4100 & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & S & Z & V & Z & I & O & Y & M & S & D & K & M & E & N & Y & Q & D & Z & Q & Z & T\\\hline 4125 & P & V & H & T & Z & H & D & L & V & G & N & M & H & Y & M & A & P & X & D & I & I & J & N & R & H\\\hline 4150 & E & S & I & L & Y & D & L & V & V & Z & I & N & S & M & P & J & Y & Q & L & \color{red}{\textbf{V}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & P\\\hline 4175 & D & J & Z & Q & D & S & P & M & R & A & O & X & Z & R & Y & I & R & U & M & P & D & D & J & Q & Z\\\hline 4200 & I & I & I & C & U & H & E & S & E & M & M & D & L & Z & W & S & Q & P & I & I & A & D & P & D & S\\\hline 4225 & Z & R & S & I & H & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Y}} & T & N & Y & I & R & A & N & T & D & C & O & W & K & E & N\\\hline 4250 & T & K & U & N & M & L & P & J & V & S & A & I & X & R & D & Z & X & N & U & O & S & \color{red}{\textbf{T}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{P}}\\\hline 4275 & \color{red}{\textbf{H}} & N & \color{red}{\textbf{A}} & \color{red}{\textbf{S}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{M}} & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & D & S & O & W & N & N & D & R & E & L & P & I & M\\\hline 4300 & C & Z & W & T & R & G & I & R & H & V & F & H & T & P & H & D & S & Y & I & O & E & I & W & D & E\\\hline 4325 & Y & I & B & E & P & B & P & U & D & I & R & S & V & M & D & N & O & H & D & L & P & X & H & L & D\\\hline 4350 & W & D & R & Z & X & P & U & Z & N & Z & I & Y & I & R & R & V & M & R & O & I & W & C & E & X & V\\\hline 4375 & N & I & M & I & P & U & Z & G & D & T & O & I & H & N & A & P & T & E & I & G & D & E & N & X & A\\\hline 4400 & I & Z & R & O & L & P & W & H & M & K & S & Q & T & V & R & S & E & L & Y & N & N & I & I & K & E\\\hline 4425 & K & I & M & S & Z & K & D & N & Z & V & Z & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{O}} & T & N & R & O & S & M & S & H\\\hline 4450 & E & H & N & O & I & M & A & I & X & M & O & O & V & D & A & O & X & D & N & O & M & N & N & N & Y\\\hline 4475 & Q & L & Z & H & N & M & V & M & M & E & Y & Y & K & O & B & M & B & I & Z & P & H & C & D & P & Z\\\hline 4500 & D & D & Z & D & R & N & M & S & E & Z & W & S & S & D & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & \color{red}{\textbf{D}} & Q & P & I & I & E\\\hline 4525 & Y & S & H & S & H & I & M & T & Z & R & H & R & \color{red}{\textbf{V}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{N}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{I}}\\\hline 4550 & \color{red}{\textbf{H}} & \color{red}{\textbf{D}} & S & V & Z & Z & N & X & I & D & S & E & I & R & U & D & W & S & O & P & X & Z & F & V & M\\\hline 4575 & S & C & J & R & R & C & D & I & M & T & Y & Y & B & A & M & E & B & T & Z & V & D & A & M & F & H\\\hline 4600 & T & M & E & H & R & Z & H & D & M & J & R & B & H & J & M & W & E & O & N & D & V & J & Y & R & P\\\hline 4625 & M & M & D & D & Z & R & D & P & V & W & D & N & O & M & Q & E & M & H & D & C & J & R & B & L & P\\\hline 4650 & W & H & O & I & I & M & C & Z & U & T & I & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{C}} & \color{red}{\textbf{Z}} & V & M & E & G & E & O & P & M & I\\\hline 4675 & B & I & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & U & T & E & E & I & E & A & D & W & C & E & N & R & N & M & W & V & D\\\hline 4700 & U & S & X & Q & A & Q & E & T & X & L & Y & H & N & Z & W & D & R & J & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & \color{red}{\textbf{P}} & \color{red}{\textbf{V}} & \color{red}{\textbf{W}} & L & \color{red}{\textbf{E}}\\\hline 4725 & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & D & S & G & S & Q & I & B & M & M & E & D & P & X & E & P & X & K & E & Y\\\hline 4750 & W & Z & C & V & G & Z & M & W & V & H & D & B & I & D & N & V & R & F & L & Z & X & D & R & M & I\\\hline 4775 & D & T & E & I & O & E & I & W & D & Q & P & M & K & E & N & X & Z & S & N & I & Y & I & H & T & Q\\\hline 4800 & E & N & W & H & O & I & R & Z & N & O & U & T & E & Y & I & R & L & Z & H & D & B & P & X & K & A\\\hline 4825 & I & S & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & \color{red}{\textbf{E}} & W & M & A & L & D & S & S & H & Z & U & T & E & Y & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & \color{red}{\textbf{O}} & \color{red}{\textbf{P}}\\\hline 4850 & \color{red}{\textbf{W}} & \color{red}{\textbf{O}} & \color{red}{\textbf{R}} & \color{red}{\textbf{J}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & S & E & S & T & A & O & Y & M & R & J & P & D & C & Z & R\\\hline 4875 & S & R & V & P & C & A & I & W & K & A & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{C}} & \color{red}{\textbf{Z}} & T & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & \color{red}{\textbf{E}} & X & I & S\\\hline 4900 & T & Z & Q & Z & C & C & M & M & E & Z & X & C & E & G & E & L & A & I & M & D & R & Z & H & N & N\\\hline 4925 & O & I & K & L & Z & H & D & V & V & M & S & E & O & V & D & U & O & M & K & I & N & I & D & P & M\\\hline 4950 & I & R & D & Z & E & M & S & J & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & \color{red}{\textbf{P}} & \color{red}{\textbf{V}} & \color{red}{\textbf{W}} & R & E & Z & X & K & I & I & J & N & R & H & E\\\hline 4975 & S & I & L & Y & D & A & Z & R & N & R & H & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & B & H & V & R & F & E & H & E & H\\\hline 5000 & S & G & E & M & O & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{I}} & K & O & B & M & B & I & Z & P & C & E & W & E & R & E\\\hline \end{array}\] \[\begin{array}{|r|*{25}{|c}|} \hline 5025 & Z & W & S & T & J & Y & I & O & P & V & R & L & V & I & S & L & V & R & N & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{D}} & \color{red}{\textbf{Z}}\\\hline 5050 & W & N & U & N & \color{red}{\textbf{T}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{O}} & \color{red}{\textbf{B}} & \color{red}{\textbf{V}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{M}} & \color{red}{\textbf{H}} & I & E & E & M & Q & D & E & N & X & S & O & P & N\\\hline 5075 & N & U & M & W & T & N & Y & I & R & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{B}} & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{X}} & R & C & G & I & R & D & Z & P & Z\\\hline 5100 & P & M & S & F & R & V & Q & L & \color{red}{\textbf{A}} & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & I & S & T & S & Y & I & U & R & D & S & M & S\\\hline 5125 & M & I & B & O & I & R & Z & I & O & V & D & L & Z & W & N & U & N & \color{red}{\textbf{T}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{O}} & \color{red}{\textbf{B}} & \color{red}{\textbf{V}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{M}} & \color{red}{\textbf{H}}\\\hline 5150 & I & E & E & M & Q & D & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & P & R & D & D & Z & W & O & L & P & \color{red}{\textbf{W}} & \color{red}{\textbf{F}} & \color{red}{\textbf{R}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}}\\\hline 5175 & \color{red}{\textbf{C}} & E & N & M & M & V & Z & R & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & D & P & P & N & G & D & G & H & E & G & M & K\\\hline 5200 & A & N & Y & Q & V & Z & G & T & A & O & V & N & I & N & K & D & N & Z & V & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & S\\\hline 5225 & Y & S & Q & D & D & R & Z & T & Z & Y & Q & S & Z & X & H & L & N & Y & Q & V & D & Z & Q & A & \color{red}{\textbf{V}}\\\hline 5250 & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{N}} & E & T & T & M & I & R & C & V & V & H & L & K & I & Q & M & Z & X\\\hline 5275 & K & I & H & T & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{H}} & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & T & N & Y & I & M & O & N & Q & N\\\hline 5300 & T & D & J & R & D & V & F & R & T & M & E & B & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{D}} & \color{red}{\textbf{Z}} & F & Z & S & Z & Q & Z & L\\\hline 5325 & C & I & T & R & Z & Y & R & \color{red}{\textbf{E}} & \color{red}{\textbf{H}} & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & N & S & M & I & H & T & N & R & O & E & M & C & Z\\\hline 5350 & E & D & T & Z & W & N & U & N & I & R & T & D & Q & D & E & Y & E & M & S & G & E & B & O & I & G\\\hline 5375 & D & P & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{I}} & R & O & M & H & H & N & V & X & D & U & M & W & C & E & O & V & N\\\hline 5400 & I & N & M & D & M & Z & K & D & N & Z & V & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{D}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & W & P & U\\\hline 5425 & Z & P & R & L & Z & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & M & O & H & F & Q & E & Y & I & Q & E & B & M & R & T & M\\\hline 5450 & I & R & E & S & T & K & I & X & M & S & \color{red}{\textbf{E}} & \color{red}{\textbf{H}} & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & I & S & L & M & Z & W & C & E & G & Y\\\hline 5475 & M & I & O & I & Z & R & D & X & G & M & Z & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{P}} & \color{red}{\textbf{I}} & D & N & O & V & Z & I & I & I & T\\\hline 5500 & N & X & S & T & T & D & Q & O & O & M & X & Z & N & O & H & \color{red}{\textbf{T}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{P}} & \color{red}{\textbf{H}} & S & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}}\\\hline 5525 & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & T & M & Z & G & Z & N & D & W & L & E & Y & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & \color{red}{\textbf{O}} & \color{red}{\textbf{P}} & \color{red}{\textbf{W}} & \color{red}{\textbf{O}} & \color{red}{\textbf{R}} & \color{red}{\textbf{J}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{H}}\\\hline 5550 & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & M & V & M & R & M & Z & Q & D & C & Z & P & Z & N & V & T & Z & S & O & Y & D & L & Z & G\\\hline 5575 & N & N & X & I & O & T & Y & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & \color{red}{\textbf{O}} & \color{red}{\textbf{P}} & \color{red}{\textbf{W}} & \color{red}{\textbf{O}} & \color{red}{\textbf{R}} & \color{red}{\textbf{J}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{R}}\\\hline 5600 & N & Z & T & N & U & Q & S & M & S & L & Y & D & S & K & I & Q & E & M & U & T & E & G & E & L & U\\\hline 5625 & O & \color{red}{\textbf{E}} & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & M & E & N & E & U & E & M & I & Q & A & K & E & R & H & Z & V & D & D & D\\\hline 5650 & X & Z & I & M & I & K & A & Y & I & T & X & D & I & L & E & B & V & Z & N & Y & I & D & T & V & T\\\hline 5675 & D & \color{red}{\textbf{D}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & H & N & M & V & M & M & E & Y & Y & K & O & B & M & B & I & Z & P & P\\\hline 5700 & U & Z & N & Z & I & H & I & Q & A & D & W & L & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & D & R & Z & W & S & L\\\hline 5725 & V & R & Z & I & N & W & Z & N & X & I & C & U & A & S & Q & T & M & E & M & C & Z & Q & N & M & Z\\\hline 5750 & R & S & C & Z & X & Z & I & O & Y & M & P & M & S & I & E & O & H & T & N & Z & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}}\\\hline 5775 & \color{red}{\textbf{D}} & T & Z & Q & D & R & D & X & D & E & O & P & D & S & K & I & Q & S & J & R & M & E & N & U & T\\\hline 5800 & I & Z & R & R & O & I & X & Q & E & N & T & N & N & N & E & A & L & Z & W & L & E & M & M & S & E\\\hline 5825 & I & X & K & A & K & P & T & S & B & V & Z & N & Y & I & Z & D & H & M & Q & \color{red}{\textbf{A}} & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}}\\\hline 5850 & \color{red}{\textbf{I}} & M & O & O & V & D & P & V & V & S & I & G & W & D & R & V & M & S & T & J & Y & S & A & A & E\\\hline 5875 & H & T & D & R & I & U & N & X & D & D & Z & P & D & U & M & I & M & R & Z & T & Q & O & X & L & D\\\hline 5900 & R & Y & I & R & L & D & Q & H & T & Z & W & P & U & D & R & Z & P & K & E & Q & U & M & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}}\\\hline 5925 & \color{red}{\textbf{L}} & \color{red}{\textbf{Y}} & Z & P & M & I & R & U & I & I & C & E & X & I & M & N & D & I & C & U & N & E & F & E & D\\\hline 5950 & R & S & E & I & W & H & F & G & I & R & E & L & Y & H & P & Z & W & E & A & D & W & Z & N & O & E\\\hline 5975 & U & E & X & W & T & C & X & I & R & D & Z & W & O & R & Z & Z & H & S & D & S & M & S & K & S & T\\\hline 6000 & R & Y & M & W & A & I & W & R & O & I & X & O & L & P & X & N & T & M & E & Q & E & N & V & D & T\\\hline 6025 & M & S & R & P & Z & G & S & I & Q & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & M & O & P & W & C & E & Q & S & M & S & E\\\hline 6050 & Y & F & E & M & P & D & F & J & V & S & R & V & R & B & O & H & Q & D & U & I & I & S & E & X & L\\\hline 6075 & M & I & L & Y & D & D & Z & \color{red}{\textbf{T}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{O}} & \color{red}{\textbf{B}} & \color{red}{\textbf{V}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{M}} & \color{red}{\textbf{H}} & \color{red}{\textbf{E}} & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & Q & E & P & W & R\\\hline 6100 & I & Z & Q & Z & I & N & E & U & E & X & X & Q & E & N & T & D & U & Y & E & H & D & Z & I & E & F\\\hline 6125 & D & G & Z & C & Z & E & K & A & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{C}} & \color{red}{\textbf{Z}} & T & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & \color{red}{\textbf{E}} & N & E & H & D & Z\\\hline 6150 & W & O & O & P & V & K & E & N & U & T & E & G & P & D & S & D & P & X & A & H & E & H & N & O & I\\\hline 6175 & M & A & I & X & T & N & W & I & R & O & D & R & R & I & P & V & F & E & I & X & P & U & D & P & D\\\hline 6200 & S & O & X & D & M & K & W & C & E & G & I & B & O & I & W & H & D & Z & V & D & R & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}}\\\hline 6225 & \color{red}{\textbf{Z}} & S & A & S & J & P & D & T & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{K}} & \color{red}{\textbf{U}} & \color{red}{\textbf{N}} & Z & H & T & Z & R & N & U & N & T & N & U & M\\\hline 6250 & V & N & N & N & S & T & B & G & M & D & R & L & Y & D & L & Z & J & N & R & O & V & Z & N & V & N\\\hline \end{array}\] \[\begin{array}{|r|*{25}{|c}|} \hline 6275 & Z & M & V & M & R & E & S & M & R & T & Z & Q & H & E & P & B & B & E & N & I & Q & A & X & E & Q\\\hline 6300 & I & G & R & D & S & O & T & K & U & N & E & C & A & K & X & D & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & Q & I & G & I\\\hline 6325 & X & Y & K & E & K & S & T & R & G & E & O & E & I & W & D & E & D & P & F & A & X & L & D & N & J\\\hline 6350 & X & Q & E & D & R & S & E & G & P & H & G & Z & R & B & E & D & P & D & S & O & X & Q & O & K & V\\\hline 6375 & H & S & L & Y & D & E & O & H & N & N & X & X & Q & O & K & G & G & E & M & E & \color{red}{\textbf{T}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{P}} & \color{red}{\textbf{H}}\\\hline 6400 & S & Z & V & K & E & Y & I & R & T & D & R & S & R & V & K & H & Q & P & I & C & U & A & S & Q & T\\\hline 6425 & M & E & M & A & Z & X & D & S & V & P & Z & R & B & I & C & I & A & J & T & S & D & S & M & E & I\\\hline 6450 & G & G & A & D & R & Z & N & O & Q & D & N & O & E & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{H}} & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & Y & I & R & M & D & P\\\hline 6475 & K & I & Z & V & R & E & O & H & D & S & H & M & K & L & D & I & Q & S & Y & I & \color{red}{\textbf{O}} & \color{red}{\textbf{R}} & \color{red}{\textbf{J}} & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}}\\\hline 6500 & \color{red}{\textbf{A}} & \color{red}{\textbf{H}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & U & M & W & Z & N & J & W & D & R & M & I & T & R & N & T & Z & S & N & I & D & S\\\hline 6525 & E & I & O & R & D & I & S & O & P & W & K & E & N & N & N & U & M & W & P & U & P & R & O & L & P\\\hline 6550 & \color{red}{\textbf{W}} & \color{red}{\textbf{F}} & \color{red}{\textbf{R}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & N & J & Q & A & R & Z & H & D & M & Z & W & B & O & G & P & D & G & P & I\\\hline 6575 & R & P & M & S & F & R & V & Q & L & E & P & V & R & T & M & S & T & V & Z & H & D & S & H & S & X\\\hline 6600 & E & I & W & C & E & N & I & K & I & W & I & Q & E & M & H & D & L & V & Q & Z & L & Z & H & H & C\\\hline 6625 & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{I}} & K & A & X & S & L & P & V & X & H & B & D & P & H & T & Z & P & D & T & M\\\hline 6650 & S & H & S & D & I & L & E & K & V & N & J & Z & X & P & U & Z & N & D & N & Z & Z & N & U & Y & V\\\hline 6675 & Z & I & N & T & Z & S & J & Y & A & L & D & I & Q & E & N & X & K & I & N & T & T & N & Z & I & M\\\hline 6700 & T & M & I & O & R & D & W & D & F & V & W & B & I & I & E & M & T & Z & H & T & N & Z & R & Z & T\\\hline 6725 & P & V & D & C & J & Q & O & L & Z & X & \color{red}{\textbf{D}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & D & D & J & E & E & M & I & M & T & Z\\\hline 6750 & E & U & E & X & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{N}} & T & Q & I & I & G & H & P & Z & W & C & E & W & E\\\hline 6775 & R & E & N & W & H & M & K & P & D & S & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & J & N & N & Y & \color{red}{\textbf{E}} & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}}\\\hline 6800 & I & G & E & L & O & I & X & Q & E & P & R & D & S & O & E & A & I & G & M & S & E & M & I & L & A\\\hline 6825 & M & U & T & A & W & P & D & D & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{K}} & \color{red}{\textbf{U}} & \color{red}{\textbf{N}} & P & H & S & K & E & D & T & Z & P & D & S & P\\\hline 6850 & T & O & O & M & X & C & E & I & S & L & B & M & I & B & O & I & W & H & D & Z & V & Z & B & G & I\\\hline 6875 & C & E & X & I & Q & T & V & M & M & E & N & H & D & N & J & W & Z & P & K & P & H & C & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}}\\\hline 6900 & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & W & D & N & P & R & R & E & I & W & K & E & N & T & K & U & N & W & N & P & C & M & R & T\\\hline 6925 & D & U & T & E & Z & W & K & I & N & T & Z & E & O & I & C & E & X & V & H & T & Z & R & O & L & V\\\hline 6950 & M & R & A & I & X & Z & N & O & G & N & M & H & I & K & A & H & E & M & I & Z & V & D & L & V & T\\\hline 6975 & K & U & N & M & M & T & Z & P & K & I & B & I & M & T & Z & H & D & M & V & P & D & M & K & P & N\\\hline 7000 & Y & Z & V & T & N & J & V & C & I & I & E & S & E & P & V & I & E & X & S & M & S & D & H & D & R\\\hline 7025 & Z & G & D & T & O & I & C & E & N & G & Q & I & \color{red}{\textbf{K}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & G & N & M & H & I & T & N & B\\\hline 7050 & V & Z & N & Y & G & N & M & K & P & H & M & Z & R & S & C & V & V & D & L & G & I & D & X & K & V\\\hline 7075 & H & M & Z & X & N & U & O & Y & M & P & V & V & E & U & H & H & D & L & D & F & D & R & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}}\\\hline 7100 & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & M & K & A & K & I & Q & M & D & W & Z & U & I & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & M & O & H & F & Q & E\\\hline 7125 & Y & I & R & H & P & Q & Z & I & I & W & K & E & N & T & K & U & N & H & N & U & Z & W & C & E & \color{red}{\textbf{X}}\\\hline 7150 & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{C}} & \color{red}{\textbf{Z}} & Z & N & I & M & H & D & S & K & I & M & S & Z & I & R & A & P & T & Z & R & V & Z\\\hline 7175 & Z & N & O & M & L & P & J & W & R & I & W & P & D & S & G & I & P & U & V & X & Q & I & Z & Q & D\\\hline 7200 & P & M & S & I & E & O & E & L & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & D & R & Z & W & S & A & G & K & N & L\\\hline 7225 & V & P & N & R & N & U & T & E & E & Y & R & Q & P & E & Z & U & E & S & T & R & Y & L & T & I & G\\\hline 7250 & I & R & P & M & S & F & R & V & Q & L & E & P & V & R & E & I & J & N & R & O & V & Z & N & J & R\\\hline 7275 & S & E & I & G & N & R & Z & X & D & N & Y & E & M & C & Z & E & B & O & I & G & D & V & J & M & Q\\\hline 7300 & L & Z & Y & Q & L & V & R & F & A & B & I & C & \color{red}{\textbf{E}} & \color{red}{\textbf{K}} & \color{red}{\textbf{V}} & \color{red}{\textbf{N}} & \color{red}{\textbf{G}} & \color{red}{\textbf{M}} & \color{red}{\textbf{E}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & \color{red}{\textbf{V}} & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}}\\\hline 7325 & \color{red}{\textbf{I}} & \color{red}{\textbf{I}} & M & F & J & R & B & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & \color{red}{\textbf{D}} & \color{red}{\textbf{Z}} & P & H & M & K & P & \color{red}{\textbf{D}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & \color{red}{\textbf{A}} & \color{red}{\textbf{O}}\\\hline 7350 & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & N & T & D & C & D & J & H & Q & P & I & P & U & D & P & R & U & O & M & K & I & N & I\\\hline 7375 & M & T & Y & S & T & L & V & T & Q & E & Q & E & K & E & I & G & D & D & Z & W & C & U & H & T & R\\\hline 7400 & E & I & S & B & T & V & P & N & U & Z & R & G & E & S & E & C & E & X & M & L & A & G & E & K & O\\\hline 7425 & M & W & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{P}} & \color{red}{\textbf{Z}} & D & Z & J & H & N & D & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & D & L & D & W & O & E & N\\\hline 7450 & X & S & O & P & N & N & U & M & W & T & N & H & I & K & A & I & K & D & E & O & V & Z & N & B & I\\\hline 7475 & C & E & X & I & P & U & Z & W & H & G & I & M & E & I & Z & P & D & L & V & R & F & A & B & I & D\\\hline 7500 & T & Y & I & K & A & H & E & M & I & Z & V & D & D & J & R & S & L & Z & Q & D & C & V & R & H & S\\\hline \end{array}\] \[\begin{array}{|r|*{25}{|c}|} \hline 7525 & H & I & E & O & I & G & S & I & J & R & M & E & G & I & E & A & H & I & T & X & M & E & O & P & J\\\hline 7550 & V & S & S & P & V & K & E & G & E & M & G & V & K & D & A & G & K & N & R & D & X & G & M & D & U\\\hline 7575 & T & E & V & P & F & O & G & I & R & T & G & I & E & R & P & M & S & D & P & R & Z & U & O & L & D\\\hline 7600 & N & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}} & I & E & F & J & V & S & P & J & Y & Q & A & H & I & M & E & M & P & Z & B\\\hline 7625 & N & X & Q & A & X & X & H & O & I & Y & M & P & V & W & U & I & O & E & K & P & G & Y & R & L & J\\\hline 7650 & M & M & E & O & H & D & D & Z & J & H & N & D & V & T & N & G & E & M & G & V & K & D & D & Z & \color{red}{\textbf{T}}\\\hline 7675 & \color{red}{\textbf{Q}} & \color{red}{\textbf{O}} & \color{red}{\textbf{B}} & \color{red}{\textbf{V}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{M}} & \color{red}{\textbf{H}} & \color{red}{\textbf{E}} & \color{red}{\textbf{S}} & \color{red}{\textbf{I}} & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & U & I & I & L & A & I & M & D & R & Z & M & M\\\hline 7700 & D & Z & T & D & N & Y & E & M & T & Z & H & D & L & D & Q & O & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{O}} & \color{red}{\textbf{E}} & \color{red}{\textbf{S}} & \color{red}{\textbf{I}}\\\hline 7725 & \color{red}{\textbf{J}} & \color{red}{\textbf{R}} & N & N & K & S & T & R & M & E & H & T & Y & E & H & L & G & I & T & R & N & T & D & N & N\\\hline 7750 & I & Q & Q & P & I & R & E & N & E & T & T & Z & Y & Q & S & J & R & S & S & D & F & H & E & I & V\\\hline 7775 & D & U & N & W & H & L & Z & Y & Q & T & V & G & G & E & L & Y & H & L & N & S & M & T & A & E & H\\\hline 7800 & T & I & E & H & T & M & I & C & E & N & I & Q & I & Z & Y & W & D & J & Y & S & E & N & U & T & A\\\hline 7825 & I & X & Z & L & V & T & N & S & N & M & A & I & G & M & S & E & Y & I & R & I & H & T & \color{red}{\textbf{K}} & \color{red}{\textbf{E}} & \color{red}{\textbf{H}}\\\hline 7850 & \color{red}{\textbf{I}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & G & M & L & P & G & \color{red}{\textbf{I}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & \color{red}{\textbf{I}} & \color{red}{\textbf{X}} & D & R & G & I & Q & A & K & T & N & R & O & H\\\hline 7875 & D & M & J & R & S & R & V & M & S & M & V & K & H & S & O & V & Z & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{O}} & P & Z\\\hline 7900 & P & P & M & R & S & V & R & B & E & Y & I & K & A & H & I & S & H & J & H & D & F & J & V & L & E\\\hline 7925 & G & P & D & B & I & J & L & A & D & R & S & E & I & E & M & T & W & M & D & N & X & S & M & N & P\\\hline 7950 & \color{red}{\textbf{I}} & \color{red}{\textbf{R}} & \color{red}{\textbf{O}} & \color{red}{\textbf{P}} & \color{red}{\textbf{W}} & K & E & I & S & L & D & Z & F & Z & C & F & Y & R & N & V & Y & Q & F & J & V\\\hline 7975 & L & E & O & P & D & P & J & Y & U & O & D & V & C & E & G & E & M & G & G & E & H & S & V & X & S\\\hline 8000 & E & I & X & H & V & \color{red}{\textbf{Z}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{D}} & \color{red}{\textbf{N}} & \color{red}{\textbf{O}} & I & W & P & M & M & L & E & Y & Y & L & O & D & R & R & E\\\hline 8025 & I & X & Q & E & G & I & R & M & V & M & M & S & Y & I & P & U & Z & P & P & U & P & R & C & A & P\\\hline 8050 & W & R & I & W & V & H & L & G & \color{red}{\textbf{E}} & \color{red}{\textbf{M}} & \color{red}{\textbf{T}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Y}} & \color{red}{\textbf{D}} & P & Z & X & D & R & I & E & T & R & E & I\\\hline 8075 & B & R & J & M & R & Q & P & M & K & E & N & X & I & U & N & X & D & D & Z & H & H & R & Z & U & T\\\hline 8100 & E & N & I & T & L & N & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{N}} & V & Z & R & Z & W & C & O & X & Y & L & E\\\hline 8125 & I & X & R & A & P & W & R & I & X & S & T & R & O & W & P & U & Z & G & D & L & P & M & B & I & J\\\hline 8150 & R & S & E & P & Y & M & E & D & R & E & L & P & I & M & C & Z & \color{red}{\textbf{E}} & \color{red}{\textbf{T}} & \color{red}{\textbf{S}} & \color{red}{\textbf{N}} & \color{red}{\textbf{M}} & O & R & J & J\\\hline 8175 & N & N & Y & I & R & U & M & P & Z & C & J & Q & L & U & I & E & T & T & Z & M & M & F & J & V & L\\\hline 8200 & A & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{P}} & \color{red}{\textbf{Z}} & F & V & G & H & L & D & X & D & A & Q & I & B & L & \color{red}{\textbf{V}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}}\\\hline 8225 & \color{red}{\textbf{G}} & P & D & L & Z & W & S & E & M & Q & D & S & Y & E & K & G & J & P & D & T & V & P & F & O & G\\\hline 8250 & P & H & K & Z & P & Z & M & V & V & P & U & Z & R & D & T & V & \color{red}{\textbf{R}} & \color{red}{\textbf{S}} & \color{red}{\textbf{P}} & \color{red}{\textbf{V}} & \color{red}{\textbf{W}} & C & E & K & S\\\hline 8275 & R & E & Z & S & M & T & Z & X & D & U & O & M & K & I & N & I & R & \color{red}{\textbf{D}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & W & Z\\\hline 8300 & N & I & I & D & S & L & Y & H & S & P & M & U & I & M & I & M & T & K & S & T & R & Y & S & M & N\\\hline 8325 & Z & V & T & N & K & I & T & D & Z & W & N & N & K & V & D & S & O & M & F & E & V & H & D & S & K\\\hline 8350 & V & N & J & Z & X & R & P & G & Y & R & J & Z & Y & M & E & N & U & T & I & I & E & U & A & D & I\\\hline 8375 & M & T & K & E & Q & F & J & M & R & P & V & \color{red}{\textbf{W}} & \color{red}{\textbf{F}} & \color{red}{\textbf{R}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{C}} & C & C & S & R & E & V & Z & N\\\hline 8400 & I & M & I & R & T & P & R & G & O & H & Q & Z & G & Z & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & \color{red}{\textbf{G}} & \color{red}{\textbf{U}} & \color{red}{\textbf{T}} & \color{red}{\textbf{E}} & K & I & T & D\\\hline 8425 & Z & T & K & A & X & I & Z & S & V & \color{red}{\textbf{K}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{A}} & \color{red}{\textbf{I}} & \color{red}{\textbf{H}} & \color{red}{\textbf{D}} & U & M & P & Z & F & J & V & B & E & Y\\\hline 8450 & I & K & A & I & S & S & \color{red}{\textbf{A}} & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{N}} & \color{red}{\textbf{N}} & W & R & E & \color{red}{\textbf{C}} & \color{red}{\textbf{J}} & \color{red}{\textbf{Q}} & \color{red}{\textbf{L}} & \color{red}{\textbf{E}} & J & Y & S & I & G & H\\\hline 8475 & D & D & Z & J & H & N & D & \color{red}{\textbf{X}} & \color{red}{\textbf{H}} & \color{red}{\textbf{O}} & \color{red}{\textbf{I}} & \color{red}{\textbf{I}} & R & T & G & E & Q & A & D & W & N & N & Y & I & B\\\hline 8500 & E & L & Y & D & C & J & R & R & I & Y & I & Q & E & \color{red}{\textbf{X}} & \color{red}{\textbf{S}} & \color{red}{\textbf{L}} & \color{red}{\textbf{M}} & \color{red}{\textbf{Z}} & Y & M & E & Y & I & R & F\\\hline 8525 & V & M & A & L & Z & W & R & E & N & H & T & L & V & R & F & A & B & I & T & N & Z & W & X & N & O\\\hline 8550 & E & W & E & O & V & N & P & Z & P & Z & B & J & V & D & E & Z & X & O & A & N & X & Q & E & N & W\\\hline 8575 & X & S & O & I & L & A & \color{red}{\textbf{O}} & \color{red}{\textbf{M}} & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}} & T & N & U & Q & E & H & T & Y & I & R & O & M & Q & Z\\\hline 8600 & I & N & I & S & R & Z & G & N & N & X & I & M & T & M & I & D & \color{red}{\textbf{D}} & \color{red}{\textbf{V}} & \color{red}{\textbf{R}} & \color{red}{\textbf{R}} & \color{red}{\textbf{L}} & \color{red}{\textbf{Z}} & W & K & I\\\hline 8625 & H & M & S & E & N & H & D & Q & P & I & K & Q & P & I & R & P & V & K & D & S & V & T & D & I & I\\\hline 8650 & I & Z & V & Z & G & T & N & J & Y & S & I & G & \color{red}{\textbf{E}} & \color{red}{\textbf{T}} & \color{red}{\textbf{S}} & \color{red}{\textbf{N}} & \color{red}{\textbf{M}} & O & U & D & W & R & A & I & X\\\hline 8675 & \color{red}{\textbf{P}} & \color{red}{\textbf{U}} & \color{red}{\textbf{Z}} & \color{red}{\textbf{P}} & \color{red}{\textbf{Z}} & N & J & X & \color{red}{\textbf{Z}} & \color{red}{\textbf{T}} & \color{red}{\textbf{D}} & \color{red}{\textbf{S}} & \color{red}{\textbf{M}} & B & I & J & K & E & M & E & O & P & J & V & S\\\hline 8700 & S & P & V & K & E & G & E & M & G & V & K & D & A & G & K & N & R & D & X & G & M & D & U & T & E\\\hline 8725 & V & P & F & O & G & E & T & R & V & M & S & D & P & I & S & R & Z & F & H & E & I & T & K & U & N\\\hline \end{array}\] \[ \begin{array}{|r|*{27}{|c}|} \hline Cara & A & B & C & D & E & F & G & H & I & J & K & L & M & N & O & P & Q & R & S & T & U & V & W & X & Y & Z\\\hline Freq \ x\%3+0 & 2.4 & 1.2 & 2 & 6.7 & 7.5 & 1 & 2.3 & 4 & {\color{red}{\textbf{ \) 7.9 \( }}} & 1.6 & 2.3 & 2.6 & 6.5 & 5.9 & 3.4 & 4.5 & 3 & 5.5 & 5.2 & 4.6 & 1.7 & 4.3 & 2.5 & 3 & 2.2 & 6.3 \\\hline Freq \ x\%3+1 & 2.2 & 1.4 & 1.9 & 6.3 & 6.4 & 0.8 & 2.6 & 3.5 & {\color{red}{\textbf{ \) 8.5 \( }}} & 2.1 & 2.8 & 2.8 & 5.7 & 6.1 & 3.6 & 4.1 & 3.2 & 5.3 & 4.7 & 4 & 2.9 & 4.7 & 2.2 & 2.8 & 2.7 & 6.6 \\\hline Freq \ x\%3+2 & 2.4 & 1.4 & 1.9 & 6.5 & 6.7 & 0.8 & 2.5 & 3.6 & {\color{red}{\textbf{ \) 8.5 \( }}} & 1.7 & 2.5 & 2.5 & 6.1 & 5.9 & 4.1 & 3.8 & 3.2 & 5.9 & 4.6 & 4.5 & 2.3 & 3.6 & 2.4 & 3.1 & 2.7 & 6.8 \\\hline \end{array}\] \[ \begin{array}{|r|*{27}{|c}|} \hline Cara & A & B & C & D & E & F & G & H & I & J & K & L & M & N & O & P & Q & R & S & T & U & V & W & X & Y & Z\\\hline Freq \ x\%4+0 & 7.3 & 0.9 & 3.4 & 3.5 & {\color{red}{\textbf{ \) 18.1 \( }}} & 1.1 & 1 & 0.5 & 7.6 & 0.5 & 0 & 5.3 & 3.7 & 8.4 & 5.5 & 3.4 & 1.3 & 6.4 & 6.9 & 7.1 & 6.4 & 1.2 & 0 & 0.4 & 0.1 & 0 \\\hline Freq \ x\%4+1 & 1.2 & 1.1 & 0.4 & 6.9 & 0.6 & 0 & 5.6 & 3.3 & 7.8 & 5.5 & 3.5 & 1.4 & 5.6 & 8.4 & 7 & 5.9 & 1 & 0 & 0.3 & 0 & 0 & 8.5 & 0.8 & 3.5 & 4.4 & {\color{red}{\textbf{ \) 17 \( }}} \\\hline Freq \ x\%4+2 & 0 & 0.3 & 0.2 & 0 & 7.5 & 0.9 & 2.8 & 3.3 & {\color{red}{\textbf{ \) 17 \( }}} & 1.2 & 1.5 & 0.5 & 7.2 & 0.6 & 0 & 5.3 & 3.5 & 7.5 & 5.3 & 3.4 & 2 & 7.1 & 8.1 & 7.7 & 5.6 & 1.4 \\\hline Freq \ x\%4+3 & 0.8 & 3.1 & 3.7 & {\color{red}{\textbf{ \) 15.5 \( }}} & 1.2 & 1.3 & 0.5 & 7.6 & 0.6 & 0 & 5.1 & 3.5 & 7.8 & 6.4 & 2.2 & 1.9 & 6.8 & 8.3 & 6.9 & 6.9 & 0.8 & 0 & 0.5 & 0.4 & 0.1 & 8 \\\hline \end{array}\] \[ \begin{array}{|r|*{27}{|c}|} \hline Cara & A & B & C & D & E & F & G & H & I & J & K & L & M & N & O & P & Q & R & S & T & U & V & W & X & Y & Z\\\hline Freq \ x\%5+0 & 2.2 & 1.2 & 2.2 & 6.6 & 6.2 & 1.1 & 1.8 & 3.7 & {\color{red}{\textbf{ \) 9.1 \( }}} & 1.7 & 2.4 & 2.6 & 6.4 & 5.5 & 4.1 & 4.2 & 3.9 & 4.7 & 4.3 & 4.1 & 2.2 & 4.3 & 2.7 & 3.5 & 2.9 & 6.5 \\\hline Freq \ x\%5+1 & 2.4 & 1.5 & 1.9 & 6.9 & 7 & 0.6 & 2.6 & 3.7 & {\color{red}{\textbf{ \) 7.9 \( }}} & 1.7 & 2.3 & 2.9 & 5.8 & 5.8 & 3.5 & 4.7 & 3 & 5.9 & 4.9 & 3.6 & 2.3 & 4.1 & 2.8 & 3 & 2 & 7.3 \\\hline Freq \ x\%5+2 & 2.5 & 1.8 & 1.4 & 5.3 & 6.9 & 0.9 & 2.5 & 3.6 & {\color{red}{\textbf{ \) 8.1 \( }}} & 2.1 & 2.9 & 2.3 & 6.5 & 6.9 & 4 & 3.7 & 2.9 & 5.9 & 4.5 & 4.3 & 2.3 & 4.2 & 2.4 & 3.1 & 2.9 & 6.3 \\\hline Freq \ x\%5+3 & 2.2 & 1.2 & 1.8 & 7.4 & 6.6 & 1 & 2.6 & 3.4 & {\color{red}{\textbf{ \) 8.8 \( }}} & 1.7 & 2.7 & 2.7 & 5.7 & 6.1 & 3.6 & 4.2 & 2.9 & 6.1 & 4.7 & 4.7 & 2.5 & 4.6 & 1.8 & 2.5 & 2.3 & 6.2 \\\hline Freq \ x\%5+4 & 2.5 & 1 & 2.4 & 6.4 & {\color{red}{\textbf{ \) 7.7 \( }}} & 0.6 & 2.9 & 4.2 & 7.5 & 1.9 & 2.4 & 2.7 & 5.9 & 5.5 & 3.2 & 3.8 & 3 & 5.1 & 5.8 & 5.2 & 2.3 & 3.9 & 2.1 & 2.9 & 2.7 & 6.5 \\\hline \end{array}\] \[ \begin{array}{|r|*{27}{|c}|} \hline Cara & A & B & C & D & E & F & G & H & I & J & K & L & M & N & O & P & Q & R & S & T & U & V & W & X & Y & Z\\\hline Freq \ x\%6+0 & 4 & 0.2 & 2 & 2 & {\color{red}{\textbf{ \) 14 \( }}} & 1.3 & 2.1 & 2.1 & 11.2 & 0.8 & 0.7 & 3.3 & 6.2 & 4.3 & 2.5 & 4.7 & 2.2 & 6.2 & 6 & 5.6 & 3.2 & 4.5 & 4.3 & 3.9 & 2.5 & 0.5 \\\hline Freq \ x\%6+1 & 1.1 & 2.1 & 2.3 & 10.9 & 0.9 & 0.8 & 3.2 & 5.1 & 4.3 & 3.4 & 4.7 & 3.1 & 6 & 7.5 & 4.4 & 3.5 & 4 & 4.3 & 2.8 & 2.7 & 0.8 & 5 & 0.8 & 1.5 & 2.4 & {\color{red}{\textbf{ \) 12.5 \( }}} \\\hline Freq \ x\%6+2 & 3.6 & 0.9 & 1.9 & 1.6 & 12.6 & 1 & 1.6 & 1.7 & {\color{red}{\textbf{ \) 13.1 \( }}} & 1 & 0.8 & 2.7 & 4.9 & 4.5 & 2.9 & 3.6 & 2.6 & 8.4 & 5.6 & 4.9 & 4.3 & 3.5 & 4.3 & 4 & 3 & 0.9 \\\hline Freq \ x\%6+3 & 0.8 & 2.3 & 2.1 & 11.4 & 1 & 0.7 & 2.5 & 6 & 4.5 & 2.4 & 4 & 2 & 6.8 & 7.4 & 4.2 & 4.2 & 3.8 & 4.8 & 4.4 & 3.7 & 0.1 & 4 & 0.7 & 2.1 & 1.9 & {\color{red}{\textbf{ \) 12.1 \( }}} \\\hline Freq \ x\%6+4 & 3.4 & 0.7 & 1.5 & 1.7 & 11.9 & 0.7 & 2 & 2 & {\color{red}{\textbf{ \) 12.7 \( }}} & 0.8 & 0.9 & 2.6 & 5.3 & 4.7 & 2.7 & 4.7 & 2.4 & 6.3 & 6.7 & 5.3 & 5.1 & 4.5 & 3.6 & 4.2 & 3.1 & 0.7 \\\hline Freq \ x\%6+5 & 1.2 & 1.9 & 1.9 & 11.3 & 0.8 & 0.5 & 3.5 & 5.4 & 3.8 & 2.5 & 4.3 & 2.3 & 7.3 & 7.3 & 5.3 & 4 & 3.8 & 3.4 & 3.6 & 4 & 0.3 & 3.8 & 0.5 & 2.2 & 2.5 & {\color{red}{\textbf{ \) 12.8 \( }}} \\\hline \end{array}\] \[ \begin{array}{|r|*{27}{|c}|} \hline Cara & A & B & C & D & E & F & G & H & I & J & K & L & M & N & O & P & Q & R & S & T & U & V & W & X & Y & Z\\\hline Freq \ x\%7+0 & 2.6 & 1.2 & 1.8 & 6.1 & 6.6 & 0.8 & 3.4 & 3.4 & {\color{red}{\textbf{ \) 8.6 \( }}} & 2.3 & 2.2 & 3 & 6.5 & 6.5 & 3.7 & 4.2 & 3.9 & 4.8 & 4.9 & 4.2 & 2.5 & 3.7 & 2.9 & 2.7 & 2.2 & 5.3 \\\hline Freq \ x\%7+1 & 3 & 1.4 & 1.6 & 5.4 & 7.6 & 0.8 & 2.6 & 4.3 & {\color{red}{\textbf{ \) 8.1 \( }}} & 2.2 & 2.2 & 1.9 & 5.6 & 5.8 & 4.1 & 3.4 & 2.7 & 4.9 & 4.3 & 4.6 & 2.4 & 5 & 2.2 & 3.6 & 2.5 & 7.8 \\\hline Freq \ x\%7+2 & 1.6 & 1.2 & 2.9 & 6.6 & 5.9 & 0.3 & 2.2 & 4.1 & {\color{red}{\textbf{ \) 8.9 \( }}} & 2.2 & 3 & 2.3 & 5.3 & 5.3 & 4 & 5 & 3 & 6.6 & 4.6 & 4.9 & 2.6 & 3.3 & 2.2 & 3 & 2.8 & 6.6 \\\hline Freq \ x\%7+3 & 2.2 & 1 & 1.4 & 7 & 7.1 & 1 & 2.1 & 3.7 & {\color{red}{\textbf{ \) 9 \( }}} & 1.6 & 1.4 & 3.1 & 6.4 & 5.2 & 3.4 & 3.3 & 2.9 & 6.1 & 5.3 & 4.2 & 2.6 & 5.1 & 2.7 & 2.9 & 2.2 & 7.2 \\\hline Freq \ x\%7+4 & 2 & 1.8 & 2.2 & 6.7 & 5.7 & 0.6 & 2 & 2.6 & {\color{red}{\textbf{ \) 8 \( }}} & 1.5 & 2.5 & 2.3 & 5.4 & 6.3 & 4.2 & 3.7 & 3.5 & 6.1 & 5.7 & 5.9 & 2.1 & 4.4 & 2.8 & 2.8 & 2.6 & 6.5 \\\hline Freq \ x\%7+5 & 2.6 & 1.4 & 1.8 & 6.6 & 7.7 & 0.9 & 2.9 & 4.3 & {\color{red}{\textbf{ \) 8.1 \( }}} & 1.6 & 2.6 & 3.3 & 6.9 & 5.8 & 3.2 & 4.4 & 3 & 4.9 & 4.1 & 3.9 & 1.8 & 4.1 & 1.8 & 3 & 3 & 6.6 \\\hline Freq \ x\%7+6 & 2.5 & 1.3 & 1.8 & 7.1 & {\color{red}{\textbf{ \) 7.4 \( }}} & 1.4 & 2 & 3.5 & 7.2 & 1.2 & 3.8 & 2.6 & 6.4 & 6.9 & 3.2 & 5 & 3 & 5.6 & 5.1 & 3 & 2.3 & 3.9 & 1.9 & 3 & 2.8 & 6 \\\hline \end{array}\]
Cliquer ici pour afficher la solution

Exercice


On observe que certain cryptogramme, ceux en rouge dans le texte, se répètent. Nous pouvons déterminer leur position (en comptant à partir de l'indicateur de position spécifié au début de la ligne). Par exemple nous avons :
  • JRBEKX aux positions 1465, 2389, 2441, 2945 et 5085. On en déduit donc que la clef est d'une longueur qui divise les écarts entre ces cryptogrammes. Ces écarts mesurent successivement : 924, 976, 1480, 3620, 52, 556, 2696, 504, 2644, 2140, dont le PGCD vaut 4
  • IJRCE aux positions 276, 4828, 4892 et 6140. On en déduit donc que la clef est d'une longueur qui divise les écarts entre ces cryptogrammes. Ces écarts mesurent successivement : 4552, 4616, 5864, 64, 1312, 1248, dont le PGCD vaut 8
  • TTDPH aux positions 507, 4271, 5515 et 6395. On en déduit donc que la clef est d'une longueur qui divise les écarts entre ces cryptogrammes. Ces écarts mesurent successivement : 3764, 5008, 5888, 1244, 2124, 880, dont le PGCD vaut 4
  • QAHQD aux positions 695, 4855, 5547, 5591 et 6499. On en déduit donc que la clef est d'une longueur qui divise les écarts entre ces cryptogrammes. Ces écarts mesurent successivement : 4160, 4852, 4896, 5804, 692, 736, 1644, 44, 952, 908, dont le PGCD vaut 4
  • DSMDZ aux positions 3985, 5045, 5313 et 7333. On en déduit donc que la clef est d'une longueur qui divise les écarts entre ces cryptogrammes. Ces écarts mesurent successivement : 1060, 1328, 3348, 268, 2288, 2020, dont le PGCD vaut 4
D'après le principe de Kasiski, il apparait que la clef est de longueur \( 4\) (ou d'un de ses diviseurs mais cela pourrait difficilement en être autrement). Observons à présent les statistiques.
  • La lettre la plus fréquente par paquet de tous les \( 4\) , partant de \( 0\) est, d'après le tableau \( E\) . Cela signifie que cette lettre code un \( E\) . En décalant donc de 4(=codex('E')), on en déduit que \( \texttt{clef[0]}=A\)
  • La lettre la plus fréquente par paquet de tous les \( 4\) , partant de \( 1\) est, d'après le tableau \( Z\) . Cela signifie que cette lettre code un \( E\) . En décalant donc de 4(=codex('E')), on en déduit que \( \texttt{clef[1]}=V\)
  • La lettre la plus fréquente par paquet de tous les \( 4\) , partant de \( 2\) est, d'après le tableau \( I\) . Cela signifie que cette lettre code un \( E\) . En décalant donc de 4(=codex('E')), on en déduit que \( \texttt{clef[2]}=E\)
  • La lettre la plus fréquente par paquet de tous les \( 4\) , partant de \( 3\) est, d'après le tableau \( D\) . Cela signifie que cette lettre code un \( E\) . En décalant donc de 4(=codex('E')), on en déduit que \( \texttt{clef[3]}=Z\)
En conclusion la clef est \( \color{red}{AVEZ}\) .