algo/v0/collatz_certificat_partiel_depth16.md

# Dossier de travail : preuve de Collatz par contraintes stabilisées (certificat partiel)

## Introduction

Ce dossier met en forme, dans un style de preuve mathématique standard, une approche par « contraintes stabilisées » telle qu’employée dans la Théorie des futurs accessibles : une dynamique sur un espace d’états, enrichie d’un registre de contraintes transmissibles, est réduite à un certificat fini vérifiable. Le certificat produit ici est volontairement partiel : il établit une descente stricte sur une grande fraction des classes congruentielles modulo 2^16, mais laisse un résidu non couvert dont la clôture est équivalente à la conjecture elle‑même.

Sources de contexte (état de l’art) :
- Lagarias, *The 3x+1 Problem: An Overview* (arXiv:2111.02635).
- Tao, *Almost all orbits of the Collatz map attain almost bounded values* (arXiv:1909.03562).

## Définition de la dynamique

On considère l’application (forme « Syracuse accélérée ») sur les entiers strictement positifs :

\[
T(n)=\begin{cases}
\dfrac{n}{2} & \text{si } n \text{ est pair},\\[4pt]
\dfrac{3n+1}{2} & \text{si } n \text{ est impair}.
\end{cases}
\]

La conjecture de Collatz s’énonce :

\[
\forall n\ge 1,\ \exists k\ge 0,\ T^{(k)}(n)=1.
\]

## Principe « contrainte stabilisée »

Un certificat \(K\) est un ensemble fini de clauses locales, chacune étant une implication universelle du type : « si \(n\) appartient à une certaine classe congruentielle, alors après \(k\) itérations, la valeur décroît strictement ». Lorsque ces clauses couvrent tous les entiers au‑delà d’une borne globale \(N^{\star}\), la terminaison s’obtient par descente bien fondée.

## Lemme : forme affine le long d’un vecteur de parité

On définit le vecteur de parité de longueur \(k\) par \(e_i = T^{(i)}(n)\bmod 2\in\{0,1\}\). Pour un vecteur \(e=(e_0,\dots,e_{k-1})\), poser \(s=\sum_{i=0}^{k-1} e_i\). Alors il existe un entier \(B_k(e)\ge 0\) tel que :

\[
T^{(k)}(n)=\frac{3^{s}\,n + B_k(e)}{2^{k}}.
\]

Récurrence exacte (construction de \(B_k\)) :
- Initialisation : \(b_0=0\).
- Pour \(i=0,\dots,k-1\) : si \(e_i=1\), alors \(b_{i+1}=3b_i+2^i\) ; si \(e_i=0\), alors \(b_{i+1}=b_i\).
- Conclusion : \(B_k(e)=b_k\).

## Lemme : condition de descente stricte et seuil explicite

Objectif : obtenir \(T^{(k)}(n)<n\).

Calcul (détaillé) :
- Hypothèse : \(T^{(k)}(n)=\dfrac{3^{s}n + B_k}{2^{k}}\).
- Inégalité : \(\dfrac{3^{s}n + B_k}{2^{k}}<n\).
- Multiplication : \(3^{s}n + B_k < 2^{k}n\).
- Réarrangement : \(B_k < (2^{k}-3^{s})n\).
- Condition nécessaire : \(2^{k}-3^{s}>0\), donc \(2^{k}>3^{s}\).
- Seuil suffisant : \(n > \dfrac{B_k}{2^{k}-3^{s}}\).
- Conclusion : \(N_0=\left\lfloor\dfrac{B_k}{2^{k}-3^{s}}\right\rfloor+1\) garantit \(T^{(k)}(n)<n\) pour tout \(n\ge N_0\) dans la classe considérée.

## Théorème-cadre : certificat complet ⇒ conjecture

Supposer qu’il existe une borne \(N^{\star}\) telle que pour tout \(n>N^{\star}\), une clause de \(K\) s’applique et fournit un \(k\ge 1\) tel que \(T^{(k)}(n)<n\). Alors, en itérant ces diminutions strictes (ordre bien fondé sur \(\mathbb{N}\)), toute orbite atteint un entier \(\le N^{\star}\). Si la conjecture est vérifiée sur l’ensemble fini \(\{1,\dots,N^{\star}\}\), elle est vraie pour tout \(n\ge 1\).

## Certificat partiel construit par fermeture « contraction locale »

Une clause est dite contractante au niveau \(k\) si la condition \(2^{k}>3^{s}\) est satisfaite pour son vecteur de parité. En explorant l’arbre des vecteurs de parité jusqu’à la profondeur 16, on obtient une partition des classes modulo \(2^16\) en classes fermées (contractantes à une profondeur \(\le 16\)) et classes non fermées (aucune contraction détectée avant la profondeur maximale).

Résultats numériques (profondeur fixée) :
- Profondeur maximale : 16.
- Nombre total de classes modulo 2^16 : 65536.
- Classes fermées : 63422 (soit 0.967742919922).
- Classes non fermées : 2114 (soit 0.032257080078).
- Seuil maximal observé parmi les classes fermées : N* = 25.

## Annexes

### Clauses fermées (liste exhaustive)

Chaque ligne donne : mot de parité, longueur k, nombre d’impairs s, classe congruentielle (résidu r modulo 2^k), coefficient a=3^s, terme B_k, seuil N0.

| mot e | k | s | r (mod 2^k) | a=3^s | B_k | N0 |
|---|---:|---:|---:|---:|---:|---:|
| 0 | 1 | 0 | 0 (mod 2) | 1 | 0 | 1 |
| 10 | 2 | 1 | 1 (mod 4) | 3 | 1 | 2 |
| 1100 | 4 | 2 | 3 (mod 16) | 9 | 5 | 1 |
| 11010 | 5 | 3 | 11 (mod 32) | 27 | 23 | 5 |
| 11100 | 5 | 3 | 23 (mod 32) | 27 | 19 | 4 |
| 1101100 | 7 | 4 | 59 (mod 128) | 81 | 85 | 2 |
| 1110100 | 7 | 4 | 7 (mod 128) | 81 | 73 | 2 |
| 1111000 | 7 | 4 | 15 (mod 128) | 81 | 65 | 2 |
| 11011010 | 8 | 5 | 123 (mod 256) | 243 | 319 | 25 |
| 11011100 | 8 | 5 | 219 (mod 256) | 243 | 287 | 23 |
| 11101010 | 8 | 5 | 199 (mod 256) | 243 | 283 | 22 |
| 11101100 | 8 | 5 | 39 (mod 256) | 243 | 251 | 20 |
| 11110010 | 8 | 5 | 79 (mod 256) | 243 | 259 | 20 |
| 11110100 | 8 | 5 | 175 (mod 256) | 243 | 227 | 18 |
| 11111000 | 8 | 5 | 95 (mod 256) | 243 | 211 | 17 |
| 1101101100 | 10 | 6 | 507 (mod 1024) | 729 | 1085 | 4 |
| 1101110100 | 10 | 6 | 347 (mod 1024) | 729 | 989 | 4 |
| 1101111000 | 10 | 6 | 923 (mod 1024) | 729 | 925 | 4 |
| 1110101100 | 10 | 6 | 583 (mod 1024) | 729 | 977 | 4 |
| 1110110100 | 10 | 6 | 423 (mod 1024) | 729 | 881 | 3 |
| 1110111000 | 10 | 6 | 999 (mod 1024) | 729 | 817 | 3 |
| 1111001100 | 10 | 6 | 975 (mod 1024) | 729 | 905 | 4 |
| 1111010100 | 10 | 6 | 815 (mod 1024) | 729 | 809 | 3 |
| 1111011000 | 10 | 6 | 367 (mod 1024) | 729 | 745 | 3 |
| 1111100100 | 10 | 6 | 735 (mod 1024) | 729 | 761 | 3 |
| 1111101000 | 10 | 6 | 287 (mod 1024) | 729 | 697 | 3 |
| 1111110000 | 10 | 6 | 575 (mod 1024) | 729 | 665 | 3 |
| 110110110100 | 12 | 7 | 1019 (mod 4096) | 2187 | 3767 | 2 |
| 110110111000 | 12 | 7 | 1787 (mod 4096) | 2187 | 3511 | 2 |
| 110111010100 | 12 | 7 | 2907 (mod 4096) | 2187 | 3479 | 2 |
| 110111011000 | 12 | 7 | 3675 (mod 4096) | 2187 | 3223 | 2 |
| 110111100100 | 12 | 7 | 1435 (mod 4096) | 2187 | 3287 | 2 |
| 110111101000 | 12 | 7 | 2203 (mod 4096) | 2187 | 3031 | 2 |
| 110111110000 | 12 | 7 | 2587 (mod 4096) | 2187 | 2903 | 2 |
| 111010110100 | 12 | 7 | 3143 (mod 4096) | 2187 | 3443 | 2 |
| 111010111000 | 12 | 7 | 3911 (mod 4096) | 2187 | 3187 | 2 |
| 111011010100 | 12 | 7 | 935 (mod 4096) | 2187 | 3155 | 2 |
| 111011011000 | 12 | 7 | 1703 (mod 4096) | 2187 | 2899 | 2 |
| 111011100100 | 12 | 7 | 3559 (mod 4096) | 2187 | 2963 | 2 |
| 111011101000 | 12 | 7 | 231 (mod 4096) | 2187 | 2707 | 2 |
| 111011110000 | 12 | 7 | 615 (mod 4096) | 2187 | 2579 | 2 |
| 111100110100 | 12 | 7 | 463 (mod 4096) | 2187 | 3227 | 2 |
| 111100111000 | 12 | 7 | 1231 (mod 4096) | 2187 | 2971 | 2 |
| 111101010100 | 12 | 7 | 2351 (mod 4096) | 2187 | 2939 | 2 |
| 111101011000 | 12 | 7 | 3119 (mod 4096) | 2187 | 2683 | 2 |
| 111101100100 | 12 | 7 | 879 (mod 4096) | 2187 | 2747 | 2 |
| 111101101000 | 12 | 7 | 1647 (mod 4096) | 2187 | 2491 | 2 |
| 111101110000 | 12 | 7 | 2031 (mod 4096) | 2187 | 2363 | 2 |
| 111110010100 | 12 | 7 | 3295 (mod 4096) | 2187 | 2795 | 2 |
| 111110011000 | 12 | 7 | 4063 (mod 4096) | 2187 | 2539 | 2 |
| 111110100100 | 12 | 7 | 1823 (mod 4096) | 2187 | 2603 | 2 |
| 111110101000 | 12 | 7 | 2591 (mod 4096) | 2187 | 2347 | 2 |
| 111110110000 | 12 | 7 | 2975 (mod 4096) | 2187 | 2219 | 2 |
| 111111000100 | 12 | 7 | 1087 (mod 4096) | 2187 | 2507 | 2 |
| 111111001000 | 12 | 7 | 1855 (mod 4096) | 2187 | 2251 | 2 |
| 111111010000 | 12 | 7 | 2239 (mod 4096) | 2187 | 2123 | 2 |
| 111111100000 | 12 | 7 | 383 (mod 4096) | 2187 | 2059 | 2 |
| 1101101101010 | 13 | 8 | 3067 (mod 8192) | 6561 | 13349 | 9 |
| 1101101101100 | 13 | 8 | 4091 (mod 8192) | 6561 | 12325 | 8 |
| 1101101110010 | 13 | 8 | 3835 (mod 8192) | 6561 | 12581 | 8 |
| 1101101110100 | 13 | 8 | 4859 (mod 8192) | 6561 | 11557 | 8 |
| 1101101111000 | 13 | 8 | 5371 (mod 8192) | 6561 | 11045 | 7 |
| 1101110101010 | 13 | 8 | 4955 (mod 8192) | 6561 | 12485 | 8 |
| 1101110101100 | 13 | 8 | 5979 (mod 8192) | 6561 | 11461 | 8 |
| 1101110110010 | 13 | 8 | 5723 (mod 8192) | 6561 | 11717 | 8 |
| 1101110110100 | 13 | 8 | 6747 (mod 8192) | 6561 | 10693 | 7 |
| 1101110111000 | 13 | 8 | 7259 (mod 8192) | 6561 | 10181 | 7 |
| 1101111001010 | 13 | 8 | 3483 (mod 8192) | 6561 | 11909 | 8 |
| 1101111001100 | 13 | 8 | 4507 (mod 8192) | 6561 | 10885 | 7 |
| 1101111010010 | 13 | 8 | 4251 (mod 8192) | 6561 | 11141 | 7 |
| 1101111010100 | 13 | 8 | 5275 (mod 8192) | 6561 | 10117 | 7 |
| 1101111011000 | 13 | 8 | 5787 (mod 8192) | 6561 | 9605 | 6 |
| 1101111100010 | 13 | 8 | 539 (mod 8192) | 6561 | 10757 | 7 |
| 1101111100100 | 13 | 8 | 1563 (mod 8192) | 6561 | 9733 | 6 |
| 1101111101000 | 13 | 8 | 2075 (mod 8192) | 6561 | 9221 | 6 |
| 1101111110000 | 13 | 8 | 2331 (mod 8192) | 6561 | 8965 | 6 |
| 1110101101010 | 13 | 8 | 5191 (mod 8192) | 6561 | 12377 | 8 |
| 1110101101100 | 13 | 8 | 6215 (mod 8192) | 6561 | 11353 | 7 |
| 1110101110010 | 13 | 8 | 5959 (mod 8192) | 6561 | 11609 | 8 |
| 1110101110100 | 13 | 8 | 6983 (mod 8192) | 6561 | 10585 | 7 |
| 1110101111000 | 13 | 8 | 7495 (mod 8192) | 6561 | 10073 | 7 |
| 1110110101010 | 13 | 8 | 7079 (mod 8192) | 6561 | 11513 | 8 |
| 1110110101100 | 13 | 8 | 8103 (mod 8192) | 6561 | 10489 | 7 |
| 1110110110010 | 13 | 8 | 7847 (mod 8192) | 6561 | 10745 | 7 |
| 1110110110100 | 13 | 8 | 679 (mod 8192) | 6561 | 9721 | 6 |
| 1110110111000 | 13 | 8 | 1191 (mod 8192) | 6561 | 9209 | 6 |
| 1110111001010 | 13 | 8 | 5607 (mod 8192) | 6561 | 10937 | 7 |
| 1110111001100 | 13 | 8 | 6631 (mod 8192) | 6561 | 9913 | 7 |
| 1110111010010 | 13 | 8 | 6375 (mod 8192) | 6561 | 10169 | 7 |
| 1110111010100 | 13 | 8 | 7399 (mod 8192) | 6561 | 9145 | 6 |
| 1110111011000 | 13 | 8 | 7911 (mod 8192) | 6561 | 8633 | 6 |
| 1110111100010 | 13 | 8 | 2663 (mod 8192) | 6561 | 9785 | 6 |
| 1110111100100 | 13 | 8 | 3687 (mod 8192) | 6561 | 8761 | 6 |
| 1110111101000 | 13 | 8 | 4199 (mod 8192) | 6561 | 8249 | 6 |
| 1110111110000 | 13 | 8 | 4455 (mod 8192) | 6561 | 7993 | 5 |
| 1111001101010 | 13 | 8 | 6607 (mod 8192) | 6561 | 11729 | 8 |
| 1111001101100 | 13 | 8 | 7631 (mod 8192) | 6561 | 10705 | 7 |
| 1111001110010 | 13 | 8 | 7375 (mod 8192) | 6561 | 10961 | 7 |
| 1111001110100 | 13 | 8 | 207 (mod 8192) | 6561 | 9937 | 7 |
| 1111001111000 | 13 | 8 | 719 (mod 8192) | 6561 | 9425 | 6 |
| 1111010101010 | 13 | 8 | 303 (mod 8192) | 6561 | 10865 | 7 |
| 1111010101100 | 13 | 8 | 1327 (mod 8192) | 6561 | 9841 | 7 |
| 1111010110010 | 13 | 8 | 1071 (mod 8192) | 6561 | 10097 | 7 |
| 1111010110100 | 13 | 8 | 2095 (mod 8192) | 6561 | 9073 | 6 |
| 1111010111000 | 13 | 8 | 2607 (mod 8192) | 6561 | 8561 | 6 |
| 1111011001010 | 13 | 8 | 7023 (mod 8192) | 6561 | 10289 | 7 |
| 1111011001100 | 13 | 8 | 8047 (mod 8192) | 6561 | 9265 | 6 |
| 1111011010010 | 13 | 8 | 7791 (mod 8192) | 6561 | 9521 | 6 |
| 1111011010100 | 13 | 8 | 623 (mod 8192) | 6561 | 8497 | 6 |
| 1111011011000 | 13 | 8 | 1135 (mod 8192) | 6561 | 7985 | 5 |
| 1111011100010 | 13 | 8 | 4079 (mod 8192) | 6561 | 9137 | 6 |
| 1111011100100 | 13 | 8 | 5103 (mod 8192) | 6561 | 8113 | 5 |
| 1111011101000 | 13 | 8 | 5615 (mod 8192) | 6561 | 7601 | 5 |
| 1111011110000 | 13 | 8 | 5871 (mod 8192) | 6561 | 7345 | 5 |
| 1111100101010 | 13 | 8 | 1247 (mod 8192) | 6561 | 10433 | 7 |
| 1111100101100 | 13 | 8 | 2271 (mod 8192) | 6561 | 9409 | 6 |
| 1111100110010 | 13 | 8 | 2015 (mod 8192) | 6561 | 9665 | 6 |
| 1111100110100 | 13 | 8 | 3039 (mod 8192) | 6561 | 8641 | 6 |
| 1111100111000 | 13 | 8 | 3551 (mod 8192) | 6561 | 8129 | 5 |
| 1111101001010 | 13 | 8 | 7967 (mod 8192) | 6561 | 9857 | 7 |
| 1111101001100 | 13 | 8 | 799 (mod 8192) | 6561 | 8833 | 6 |
| 1111101010010 | 13 | 8 | 543 (mod 8192) | 6561 | 9089 | 6 |
| 1111101010100 | 13 | 8 | 1567 (mod 8192) | 6561 | 8065 | 5 |
| 1111101011000 | 13 | 8 | 2079 (mod 8192) | 6561 | 7553 | 5 |
| 1111101100010 | 13 | 8 | 5023 (mod 8192) | 6561 | 8705 | 6 |
| 1111101100100 | 13 | 8 | 6047 (mod 8192) | 6561 | 7681 | 5 |
| 1111101101000 | 13 | 8 | 6559 (mod 8192) | 6561 | 7169 | 5 |
| 1111101110000 | 13 | 8 | 6815 (mod 8192) | 6561 | 6913 | 5 |
| 1111110001010 | 13 | 8 | 3135 (mod 8192) | 6561 | 9569 | 6 |
| 1111110001100 | 13 | 8 | 4159 (mod 8192) | 6561 | 8545 | 6 |
| 1111110010010 | 13 | 8 | 3903 (mod 8192) | 6561 | 8801 | 6 |
| 1111110010100 | 13 | 8 | 4927 (mod 8192) | 6561 | 7777 | 5 |
| 1111110011000 | 13 | 8 | 5439 (mod 8192) | 6561 | 7265 | 5 |
| 1111110100010 | 13 | 8 | 191 (mod 8192) | 6561 | 8417 | 6 |
| 1111110100100 | 13 | 8 | 1215 (mod 8192) | 6561 | 7393 | 5 |
| 1111110101000 | 13 | 8 | 1727 (mod 8192) | 6561 | 6881 | 5 |
| 1111110110000 | 13 | 8 | 1983 (mod 8192) | 6561 | 6625 | 5 |
| 1111111000010 | 13 | 8 | 2431 (mod 8192) | 6561 | 8225 | 6 |
| 1111111000100 | 13 | 8 | 3455 (mod 8192) | 6561 | 7201 | 5 |
| 1111111001000 | 13 | 8 | 3967 (mod 8192) | 6561 | 6689 | 5 |
| 1111111010000 | 13 | 8 | 4223 (mod 8192) | 6561 | 6433 | 4 |
| 1111111100000 | 13 | 8 | 255 (mod 8192) | 6561 | 6305 | 4 |
| 110110110101100 | 15 | 9 | 7163 (mod 32768) | 19683 | 44143 | 4 |
| 110110110110100 | 15 | 9 | 8187 (mod 32768) | 19683 | 41071 | 4 |
| 110110110111000 | 15 | 9 | 30715 (mod 32768) | 19683 | 39023 | 3 |
| 110110111001100 | 15 | 9 | 16123 (mod 32768) | 19683 | 41839 | 4 |
| 110110111010100 | 15 | 9 | 17147 (mod 32768) | 19683 | 38767 | 3 |
| 110110111011000 | 15 | 9 | 6907 (mod 32768) | 19683 | 36719 | 3 |
| 110110111100100 | 15 | 9 | 1275 (mod 32768) | 19683 | 37231 | 3 |
| 110110111101000 | 15 | 9 | 23803 (mod 32768) | 19683 | 35183 | 3 |
| 110110111110000 | 15 | 9 | 2299 (mod 32768) | 19683 | 34159 | 3 |
| 110111010101100 | 15 | 9 | 9051 (mod 32768) | 19683 | 41551 | 4 |
| 110111010110100 | 15 | 9 | 10075 (mod 32768) | 19683 | 38479 | 3 |
| 110111010111000 | 15 | 9 | 32603 (mod 32768) | 19683 | 36431 | 3 |
| 110111011001100 | 15 | 9 | 18011 (mod 32768) | 19683 | 39247 | 3 |
| 110111011010100 | 15 | 9 | 19035 (mod 32768) | 19683 | 36175 | 3 |
| 110111011011000 | 15 | 9 | 8795 (mod 32768) | 19683 | 34127 | 3 |
| 110111011100100 | 15 | 9 | 3163 (mod 32768) | 19683 | 34639 | 3 |
| 110111011101000 | 15 | 9 | 25691 (mod 32768) | 19683 | 32591 | 3 |
| 110111011110000 | 15 | 9 | 4187 (mod 32768) | 19683 | 31567 | 3 |
| 110111100101100 | 15 | 9 | 32155 (mod 32768) | 19683 | 39823 | 4 |
| 110111100110100 | 15 | 9 | 411 (mod 32768) | 19683 | 36751 | 3 |
| 110111100111000 | 15 | 9 | 22939 (mod 32768) | 19683 | 34703 | 3 |
| 110111101001100 | 15 | 9 | 8347 (mod 32768) | 19683 | 37519 | 3 |
| 110111101010100 | 15 | 9 | 9371 (mod 32768) | 19683 | 34447 | 3 |
| 110111101011000 | 15 | 9 | 31899 (mod 32768) | 19683 | 32399 | 3 |
| 110111101100100 | 15 | 9 | 26267 (mod 32768) | 19683 | 32911 | 3 |
| 110111101101000 | 15 | 9 | 16027 (mod 32768) | 19683 | 30863 | 3 |
| 110111101110000 | 15 | 9 | 27291 (mod 32768) | 19683 | 29839 | 3 |
| 110111110001100 | 15 | 9 | 12827 (mod 32768) | 19683 | 36367 | 3 |
| 110111110010100 | 15 | 9 | 13851 (mod 32768) | 19683 | 33295 | 3 |
| 110111110011000 | 15 | 9 | 3611 (mod 32768) | 19683 | 31247 | 3 |
| 110111110100100 | 15 | 9 | 30747 (mod 32768) | 19683 | 31759 | 3 |
| 110111110101000 | 15 | 9 | 20507 (mod 32768) | 19683 | 29711 | 3 |
| 110111110110000 | 15 | 9 | 31771 (mod 32768) | 19683 | 28687 | 3 |
| 110111111000100 | 15 | 9 | 22811 (mod 32768) | 19683 | 30991 | 3 |
| 110111111001000 | 15 | 9 | 12571 (mod 32768) | 19683 | 28943 | 3 |
| 110111111010000 | 15 | 9 | 23835 (mod 32768) | 19683 | 27919 | 3 |
| 110111111100000 | 15 | 9 | 29467 (mod 32768) | 19683 | 27407 | 3 |
| 111010110101100 | 15 | 9 | 1095 (mod 32768) | 19683 | 41227 | 4 |
| 111010110110100 | 15 | 9 | 2119 (mod 32768) | 19683 | 38155 | 3 |
| 111010110111000 | 15 | 9 | 24647 (mod 32768) | 19683 | 36107 | 3 |
| 111010111001100 | 15 | 9 | 10055 (mod 32768) | 19683 | 38923 | 3 |
| 111010111010100 | 15 | 9 | 11079 (mod 32768) | 19683 | 35851 | 3 |
| 111010111011000 | 15 | 9 | 839 (mod 32768) | 19683 | 33803 | 3 |
| 111010111100100 | 15 | 9 | 27975 (mod 32768) | 19683 | 34315 | 3 |
| 111010111101000 | 15 | 9 | 17735 (mod 32768) | 19683 | 32267 | 3 |
| 111010111110000 | 15 | 9 | 28999 (mod 32768) | 19683 | 31243 | 3 |
| 111011010101100 | 15 | 9 | 2983 (mod 32768) | 19683 | 38635 | 3 |
| 111011010110100 | 15 | 9 | 4007 (mod 32768) | 19683 | 35563 | 3 |
| 111011010111000 | 15 | 9 | 26535 (mod 32768) | 19683 | 33515 | 3 |
| 111011011001100 | 15 | 9 | 11943 (mod 32768) | 19683 | 36331 | 3 |
| 111011011010100 | 15 | 9 | 12967 (mod 32768) | 19683 | 33259 | 3 |
| 111011011011000 | 15 | 9 | 2727 (mod 32768) | 19683 | 31211 | 3 |
| 111011011100100 | 15 | 9 | 29863 (mod 32768) | 19683 | 31723 | 3 |
| 111011011101000 | 15 | 9 | 19623 (mod 32768) | 19683 | 29675 | 3 |
| 111011011110000 | 15 | 9 | 30887 (mod 32768) | 19683 | 28651 | 3 |
| 111011100101100 | 15 | 9 | 26087 (mod 32768) | 19683 | 36907 | 3 |
| 111011100110100 | 15 | 9 | 27111 (mod 32768) | 19683 | 33835 | 3 |
| 111011100111000 | 15 | 9 | 16871 (mod 32768) | 19683 | 31787 | 3 |
| 111011101001100 | 15 | 9 | 2279 (mod 32768) | 19683 | 34603 | 3 |
| 111011101010100 | 15 | 9 | 3303 (mod 32768) | 19683 | 31531 | 3 |
| 111011101011000 | 15 | 9 | 25831 (mod 32768) | 19683 | 29483 | 3 |
| 111011101100100 | 15 | 9 | 20199 (mod 32768) | 19683 | 29995 | 3 |
| 111011101101000 | 15 | 9 | 9959 (mod 32768) | 19683 | 27947 | 3 |
| 111011101110000 | 15 | 9 | 21223 (mod 32768) | 19683 | 26923 | 3 |
| 111011110001100 | 15 | 9 | 6759 (mod 32768) | 19683 | 33451 | 3 |
| 111011110010100 | 15 | 9 | 7783 (mod 32768) | 19683 | 30379 | 3 |
| 111011110011000 | 15 | 9 | 30311 (mod 32768) | 19683 | 28331 | 3 |
| 111011110100100 | 15 | 9 | 24679 (mod 32768) | 19683 | 28843 | 3 |
| 111011110101000 | 15 | 9 | 14439 (mod 32768) | 19683 | 26795 | 3 |
| 111011110110000 | 15 | 9 | 25703 (mod 32768) | 19683 | 25771 | 2 |
| 111011111000100 | 15 | 9 | 16743 (mod 32768) | 19683 | 28075 | 3 |
| 111011111001000 | 15 | 9 | 6503 (mod 32768) | 19683 | 26027 | 2 |
| 111011111010000 | 15 | 9 | 17767 (mod 32768) | 19683 | 25003 | 2 |
| 111011111100000 | 15 | 9 | 23399 (mod 32768) | 19683 | 24491 | 2 |
| 111100110101100 | 15 | 9 | 18895 (mod 32768) | 19683 | 39283 | 4 |
| 111100110110100 | 15 | 9 | 19919 (mod 32768) | 19683 | 36211 | 3 |
| 111100110111000 | 15 | 9 | 9679 (mod 32768) | 19683 | 34163 | 3 |
| 111100111001100 | 15 | 9 | 27855 (mod 32768) | 19683 | 36979 | 3 |
| 111100111010100 | 15 | 9 | 28879 (mod 32768) | 19683 | 33907 | 3 |
| 111100111011000 | 15 | 9 | 18639 (mod 32768) | 19683 | 31859 | 3 |
| 111100111100100 | 15 | 9 | 13007 (mod 32768) | 19683 | 32371 | 3 |
| 111100111101000 | 15 | 9 | 2767 (mod 32768) | 19683 | 30323 | 3 |
| 111100111110000 | 15 | 9 | 14031 (mod 32768) | 19683 | 29299 | 3 |
| 111101010101100 | 15 | 9 | 20783 (mod 32768) | 19683 | 36691 | 3 |
| 111101010110100 | 15 | 9 | 21807 (mod 32768) | 19683 | 33619 | 3 |
| 111101010111000 | 15 | 9 | 11567 (mod 32768) | 19683 | 31571 | 3 |
| 111101011001100 | 15 | 9 | 29743 (mod 32768) | 19683 | 34387 | 3 |
| 111101011010100 | 15 | 9 | 30767 (mod 32768) | 19683 | 31315 | 3 |
| 111101011011000 | 15 | 9 | 20527 (mod 32768) | 19683 | 29267 | 3 |
| 111101011100100 | 15 | 9 | 14895 (mod 32768) | 19683 | 29779 | 3 |
| 111101011101000 | 15 | 9 | 4655 (mod 32768) | 19683 | 27731 | 3 |
| 111101011110000 | 15 | 9 | 15919 (mod 32768) | 19683 | 26707 | 3 |
| 111101100101100 | 15 | 9 | 11119 (mod 32768) | 19683 | 34963 | 3 |
| 111101100110100 | 15 | 9 | 12143 (mod 32768) | 19683 | 31891 | 3 |
| 111101100111000 | 15 | 9 | 1903 (mod 32768) | 19683 | 29843 | 3 |
| 111101101001100 | 15 | 9 | 20079 (mod 32768) | 19683 | 32659 | 3 |
| 111101101010100 | 15 | 9 | 21103 (mod 32768) | 19683 | 29587 | 3 |
| 111101101011000 | 15 | 9 | 10863 (mod 32768) | 19683 | 27539 | 3 |
| 111101101100100 | 15 | 9 | 5231 (mod 32768) | 19683 | 28051 | 3 |
| 111101101101000 | 15 | 9 | 27759 (mod 32768) | 19683 | 26003 | 2 |
| 111101101110000 | 15 | 9 | 6255 (mod 32768) | 19683 | 24979 | 2 |
| 111101110001100 | 15 | 9 | 24559 (mod 32768) | 19683 | 31507 | 3 |
| 111101110010100 | 15 | 9 | 25583 (mod 32768) | 19683 | 28435 | 3 |
| 111101110011000 | 15 | 9 | 15343 (mod 32768) | 19683 | 26387 | 3 |
| 111101110100100 | 15 | 9 | 9711 (mod 32768) | 19683 | 26899 | 3 |
| 111101110101000 | 15 | 9 | 32239 (mod 32768) | 19683 | 24851 | 2 |
| 111101110110000 | 15 | 9 | 10735 (mod 32768) | 19683 | 23827 | 2 |
| 111101111000100 | 15 | 9 | 1775 (mod 32768) | 19683 | 26131 | 2 |
| 111101111001000 | 15 | 9 | 24303 (mod 32768) | 19683 | 24083 | 2 |
| 111101111010000 | 15 | 9 | 2799 (mod 32768) | 19683 | 23059 | 2 |
| 111101111100000 | 15 | 9 | 8431 (mod 32768) | 19683 | 22547 | 2 |
| 111110010101100 | 15 | 9 | 21727 (mod 32768) | 19683 | 35395 | 3 |
| 111110010110100 | 15 | 9 | 22751 (mod 32768) | 19683 | 32323 | 3 |
| 111110010111000 | 15 | 9 | 12511 (mod 32768) | 19683 | 30275 | 3 |
| 111110011001100 | 15 | 9 | 30687 (mod 32768) | 19683 | 33091 | 3 |
| 111110011010100 | 15 | 9 | 31711 (mod 32768) | 19683 | 30019 | 3 |
| 111110011011000 | 15 | 9 | 21471 (mod 32768) | 19683 | 27971 | 3 |
| 111110011100100 | 15 | 9 | 15839 (mod 32768) | 19683 | 28483 | 3 |
| 111110011101000 | 15 | 9 | 5599 (mod 32768) | 19683 | 26435 | 3 |
| 111110011110000 | 15 | 9 | 16863 (mod 32768) | 19683 | 25411 | 2 |
| 111110100101100 | 15 | 9 | 12063 (mod 32768) | 19683 | 33667 | 3 |
| 111110100110100 | 15 | 9 | 13087 (mod 32768) | 19683 | 30595 | 3 |
| 111110100111000 | 15 | 9 | 2847 (mod 32768) | 19683 | 28547 | 3 |
| 111110101001100 | 15 | 9 | 21023 (mod 32768) | 19683 | 31363 | 3 |
| 111110101010100 | 15 | 9 | 22047 (mod 32768) | 19683 | 28291 | 3 |
| 111110101011000 | 15 | 9 | 11807 (mod 32768) | 19683 | 26243 | 3 |
| 111110101100100 | 15 | 9 | 6175 (mod 32768) | 19683 | 26755 | 3 |
| 111110101101000 | 15 | 9 | 28703 (mod 32768) | 19683 | 24707 | 2 |
| 111110101110000 | 15 | 9 | 7199 (mod 32768) | 19683 | 23683 | 2 |
| 111110110001100 | 15 | 9 | 25503 (mod 32768) | 19683 | 30211 | 3 |
| 111110110010100 | 15 | 9 | 26527 (mod 32768) | 19683 | 27139 | 3 |
| 111110110011000 | 15 | 9 | 16287 (mod 32768) | 19683 | 25091 | 2 |
| 111110110100100 | 15 | 9 | 10655 (mod 32768) | 19683 | 25603 | 2 |
| 111110110101000 | 15 | 9 | 415 (mod 32768) | 19683 | 23555 | 2 |
| 111110110110000 | 15 | 9 | 11679 (mod 32768) | 19683 | 22531 | 2 |
| 111110111000100 | 15 | 9 | 2719 (mod 32768) | 19683 | 24835 | 2 |
| 111110111001000 | 15 | 9 | 25247 (mod 32768) | 19683 | 22787 | 2 |
| 111110111010000 | 15 | 9 | 3743 (mod 32768) | 19683 | 21763 | 2 |
| 111110111100000 | 15 | 9 | 9375 (mod 32768) | 19683 | 21251 | 2 |
| 111111000101100 | 15 | 9 | 23615 (mod 32768) | 19683 | 32803 | 3 |
| 111111000110100 | 15 | 9 | 24639 (mod 32768) | 19683 | 29731 | 3 |
| 111111000111000 | 15 | 9 | 14399 (mod 32768) | 19683 | 27683 | 3 |
| 111111001001100 | 15 | 9 | 32575 (mod 32768) | 19683 | 30499 | 3 |
| 111111001010100 | 15 | 9 | 831 (mod 32768) | 19683 | 27427 | 3 |
| 111111001011000 | 15 | 9 | 23359 (mod 32768) | 19683 | 25379 | 2 |
| 111111001100100 | 15 | 9 | 17727 (mod 32768) | 19683 | 25891 | 2 |
| 111111001101000 | 15 | 9 | 7487 (mod 32768) | 19683 | 23843 | 2 |
| 111111001110000 | 15 | 9 | 18751 (mod 32768) | 19683 | 22819 | 2 |
| 111111010001100 | 15 | 9 | 4287 (mod 32768) | 19683 | 29347 | 3 |
| 111111010010100 | 15 | 9 | 5311 (mod 32768) | 19683 | 26275 | 3 |
| 111111010011000 | 15 | 9 | 27839 (mod 32768) | 19683 | 24227 | 2 |
| 111111010100100 | 15 | 9 | 22207 (mod 32768) | 19683 | 24739 | 2 |
| 111111010101000 | 15 | 9 | 11967 (mod 32768) | 19683 | 22691 | 2 |
| 111111010110000 | 15 | 9 | 23231 (mod 32768) | 19683 | 21667 | 2 |
| 111111011000100 | 15 | 9 | 14271 (mod 32768) | 19683 | 23971 | 2 |
| 111111011001000 | 15 | 9 | 4031 (mod 32768) | 19683 | 21923 | 2 |
| 111111011010000 | 15 | 9 | 15295 (mod 32768) | 19683 | 20899 | 2 |
| 111111011100000 | 15 | 9 | 20927 (mod 32768) | 19683 | 20387 | 2 |
| 111111100001100 | 15 | 9 | 22911 (mod 32768) | 19683 | 28771 | 3 |
| 111111100010100 | 15 | 9 | 23935 (mod 32768) | 19683 | 25699 | 2 |
| 111111100011000 | 15 | 9 | 13695 (mod 32768) | 19683 | 23651 | 2 |
| 111111100100100 | 15 | 9 | 8063 (mod 32768) | 19683 | 24163 | 2 |
| 111111100101000 | 15 | 9 | 30591 (mod 32768) | 19683 | 22115 | 2 |
| 111111100110000 | 15 | 9 | 9087 (mod 32768) | 19683 | 21091 | 2 |
| 111111101000100 | 15 | 9 | 127 (mod 32768) | 19683 | 23395 | 2 |
| 111111101001000 | 15 | 9 | 22655 (mod 32768) | 19683 | 21347 | 2 |
| 111111101010000 | 15 | 9 | 1151 (mod 32768) | 19683 | 20323 | 2 |
| 111111101100000 | 15 | 9 | 6783 (mod 32768) | 19683 | 19811 | 2 |
| 111111110000100 | 15 | 9 | 12543 (mod 32768) | 19683 | 23011 | 2 |
| 111111110001000 | 15 | 9 | 2303 (mod 32768) | 19683 | 20963 | 2 |
| 111111110010000 | 15 | 9 | 13567 (mod 32768) | 19683 | 19939 | 2 |
| 111111110100000 | 15 | 9 | 19199 (mod 32768) | 19683 | 19427 | 2 |
| 111111111000000 | 15 | 9 | 5631 (mod 32768) | 19683 | 19171 | 2 |
| 1101101101011010 | 16 | 10 | 56315 (mod 65536) | 59049 | 148813 | 23 |
| 1101101101011100 | 16 | 10 | 64507 (mod 65536) | 59049 | 140621 | 22 |
| 1101101101101010 | 16 | 10 | 24571 (mod 65536) | 59049 | 139597 | 22 |
| 1101101101101100 | 16 | 10 | 32763 (mod 65536) | 59049 | 131405 | 21 |
| 1101101101110010 | 16 | 10 | 47099 (mod 65536) | 59049 | 133453 | 21 |
| 1101101101110100 | 16 | 10 | 55291 (mod 65536) | 59049 | 125261 | 20 |
| 1101101101111000 | 16 | 10 | 26619 (mod 65536) | 59049 | 121165 | 19 |
| 1101101110011010 | 16 | 10 | 65275 (mod 65536) | 59049 | 141901 | 22 |
| 1101101110011100 | 16 | 10 | 7931 (mod 65536) | 59049 | 133709 | 21 |
| 1101101110101010 | 16 | 10 | 33531 (mod 65536) | 59049 | 132685 | 21 |
| 1101101110101100 | 16 | 10 | 41723 (mod 65536) | 59049 | 124493 | 20 |
| 1101101110110010 | 16 | 10 | 56059 (mod 65536) | 59049 | 126541 | 20 |
| 1101101110110100 | 16 | 10 | 64251 (mod 65536) | 59049 | 118349 | 19 |
| 1101101110111000 | 16 | 10 | 35579 (mod 65536) | 59049 | 114253 | 18 |
| 1101101111001010 | 16 | 10 | 17659 (mod 65536) | 59049 | 128077 | 20 |
| 1101101111001100 | 16 | 10 | 25851 (mod 65536) | 59049 | 119885 | 19 |
| 1101101111010010 | 16 | 10 | 40187 (mod 65536) | 59049 | 121933 | 19 |
| 1101101111010100 | 16 | 10 | 48379 (mod 65536) | 59049 | 113741 | 18 |
| 1101101111011000 | 16 | 10 | 19707 (mod 65536) | 59049 | 109645 | 17 |
| 1101101111100010 | 16 | 10 | 51451 (mod 65536) | 59049 | 118861 | 19 |
| 1101101111100100 | 16 | 10 | 59643 (mod 65536) | 59049 | 110669 | 18 |
| 1101101111101000 | 16 | 10 | 30971 (mod 65536) | 59049 | 106573 | 17 |
| 1101101111110000 | 16 | 10 | 16635 (mod 65536) | 59049 | 104525 | 17 |
| 1101110101011010 | 16 | 10 | 58203 (mod 65536) | 59049 | 141037 | 22 |
| 1101110101011100 | 16 | 10 | 859 (mod 65536) | 59049 | 132845 | 21 |
| 1101110101101010 | 16 | 10 | 26459 (mod 65536) | 59049 | 131821 | 21 |
| 1101110101101100 | 16 | 10 | 34651 (mod 65536) | 59049 | 123629 | 20 |
| 1101110101110010 | 16 | 10 | 48987 (mod 65536) | 59049 | 125677 | 20 |
| 1101110101110100 | 16 | 10 | 57179 (mod 65536) | 59049 | 117485 | 19 |
| 1101110101111000 | 16 | 10 | 28507 (mod 65536) | 59049 | 113389 | 18 |
| 1101110110011010 | 16 | 10 | 1627 (mod 65536) | 59049 | 134125 | 21 |
| 1101110110011100 | 16 | 10 | 9819 (mod 65536) | 59049 | 125933 | 20 |
| 1101110110101010 | 16 | 10 | 35419 (mod 65536) | 59049 | 124909 | 20 |
| 1101110110101100 | 16 | 10 | 43611 (mod 65536) | 59049 | 116717 | 18 |
| 1101110110110010 | 16 | 10 | 57947 (mod 65536) | 59049 | 118765 | 19 |
| 1101110110110100 | 16 | 10 | 603 (mod 65536) | 59049 | 110573 | 18 |
| 1101110110111000 | 16 | 10 | 37467 (mod 65536) | 59049 | 106477 | 17 |
| 1101110111001010 | 16 | 10 | 19547 (mod 65536) | 59049 | 120301 | 19 |
| 1101110111001100 | 16 | 10 | 27739 (mod 65536) | 59049 | 112109 | 18 |
| 1101110111010010 | 16 | 10 | 42075 (mod 65536) | 59049 | 114157 | 18 |
| 1101110111010100 | 16 | 10 | 50267 (mod 65536) | 59049 | 105965 | 17 |
| 1101110111011000 | 16 | 10 | 21595 (mod 65536) | 59049 | 101869 | 16 |
| 1101110111100010 | 16 | 10 | 53339 (mod 65536) | 59049 | 111085 | 18 |
| 1101110111100100 | 16 | 10 | 61531 (mod 65536) | 59049 | 102893 | 16 |
| 1101110111101000 | 16 | 10 | 32859 (mod 65536) | 59049 | 98797 | 16 |
| 1101110111110000 | 16 | 10 | 18523 (mod 65536) | 59049 | 96749 | 15 |
| 1101111001011010 | 16 | 10 | 15771 (mod 65536) | 59049 | 135853 | 21 |
| 1101111001011100 | 16 | 10 | 23963 (mod 65536) | 59049 | 127661 | 20 |
| 1101111001101010 | 16 | 10 | 49563 (mod 65536) | 59049 | 126637 | 20 |
| 1101111001101100 | 16 | 10 | 57755 (mod 65536) | 59049 | 118445 | 19 |
| 1101111001110010 | 16 | 10 | 6555 (mod 65536) | 59049 | 120493 | 19 |
| 1101111001110100 | 16 | 10 | 14747 (mod 65536) | 59049 | 112301 | 18 |
| 1101111001111000 | 16 | 10 | 51611 (mod 65536) | 59049 | 108205 | 17 |
| 1101111010011010 | 16 | 10 | 24731 (mod 65536) | 59049 | 128941 | 20 |
| 1101111010011100 | 16 | 10 | 32923 (mod 65536) | 59049 | 120749 | 19 |
| 1101111010101010 | 16 | 10 | 58523 (mod 65536) | 59049 | 119725 | 19 |
| 1101111010101100 | 16 | 10 | 1179 (mod 65536) | 59049 | 111533 | 18 |
| 1101111010110010 | 16 | 10 | 15515 (mod 65536) | 59049 | 113581 | 18 |
| 1101111010110100 | 16 | 10 | 23707 (mod 65536) | 59049 | 105389 | 17 |
| 1101111010111000 | 16 | 10 | 60571 (mod 65536) | 59049 | 101293 | 16 |
| 1101111011001010 | 16 | 10 | 42651 (mod 65536) | 59049 | 115117 | 18 |
| 1101111011001100 | 16 | 10 | 50843 (mod 65536) | 59049 | 106925 | 17 |
| 1101111011010010 | 16 | 10 | 65179 (mod 65536) | 59049 | 108973 | 17 |
| 1101111011010100 | 16 | 10 | 7835 (mod 65536) | 59049 | 100781 | 16 |
| 1101111011011000 | 16 | 10 | 44699 (mod 65536) | 59049 | 96685 | 15 |
| 1101111011100010 | 16 | 10 | 10907 (mod 65536) | 59049 | 105901 | 17 |
| 1101111011100100 | 16 | 10 | 19099 (mod 65536) | 59049 | 97709 | 16 |
| 1101111011101000 | 16 | 10 | 55963 (mod 65536) | 59049 | 93613 | 15 |
| 1101111011110000 | 16 | 10 | 41627 (mod 65536) | 59049 | 91565 | 15 |
| 1101111100011010 | 16 | 10 | 61979 (mod 65536) | 59049 | 125485 | 20 |
| 1101111100011100 | 16 | 10 | 4635 (mod 65536) | 59049 | 117293 | 19 |
| 1101111100101010 | 16 | 10 | 30235 (mod 65536) | 59049 | 116269 | 18 |
| 1101111100101100 | 16 | 10 | 38427 (mod 65536) | 59049 | 108077 | 17 |
| 1101111100110010 | 16 | 10 | 52763 (mod 65536) | 59049 | 110125 | 17 |
| 1101111100110100 | 16 | 10 | 60955 (mod 65536) | 59049 | 101933 | 16 |
| 1101111100111000 | 16 | 10 | 32283 (mod 65536) | 59049 | 97837 | 16 |
| 1101111101001010 | 16 | 10 | 14363 (mod 65536) | 59049 | 111661 | 18 |
| 1101111101001100 | 16 | 10 | 22555 (mod 65536) | 59049 | 103469 | 16 |
| 1101111101010010 | 16 | 10 | 36891 (mod 65536) | 59049 | 105517 | 17 |
| 1101111101010100 | 16 | 10 | 45083 (mod 65536) | 59049 | 97325 | 16 |
| 1101111101011000 | 16 | 10 | 16411 (mod 65536) | 59049 | 93229 | 15 |
| 1101111101100010 | 16 | 10 | 48155 (mod 65536) | 59049 | 102445 | 16 |
| 1101111101100100 | 16 | 10 | 56347 (mod 65536) | 59049 | 94253 | 15 |
| 1101111101101000 | 16 | 10 | 27675 (mod 65536) | 59049 | 90157 | 14 |
| 1101111101110000 | 16 | 10 | 13339 (mod 65536) | 59049 | 88109 | 14 |
| 1101111110001010 | 16 | 10 | 39195 (mod 65536) | 59049 | 109357 | 17 |
| 1101111110001100 | 16 | 10 | 47387 (mod 65536) | 59049 | 101165 | 16 |
| 1101111110010010 | 16 | 10 | 61723 (mod 65536) | 59049 | 103213 | 16 |
| 1101111110010100 | 16 | 10 | 4379 (mod 65536) | 59049 | 95021 | 15 |
| 1101111110011000 | 16 | 10 | 41243 (mod 65536) | 59049 | 90925 | 15 |
| 1101111110100010 | 16 | 10 | 7451 (mod 65536) | 59049 | 100141 | 16 |
| 1101111110100100 | 16 | 10 | 15643 (mod 65536) | 59049 | 91949 | 15 |
| 1101111110101000 | 16 | 10 | 52507 (mod 65536) | 59049 | 87853 | 14 |
| 1101111110110000 | 16 | 10 | 38171 (mod 65536) | 59049 | 85805 | 14 |
| 1101111111000010 | 16 | 10 | 45851 (mod 65536) | 59049 | 98605 | 16 |
| 1101111111000100 | 16 | 10 | 54043 (mod 65536) | 59049 | 90413 | 14 |
| 1101111111001000 | 16 | 10 | 25371 (mod 65536) | 59049 | 86317 | 14 |
| 1101111111010000 | 16 | 10 | 11035 (mod 65536) | 59049 | 84269 | 13 |
| 1101111111100000 | 16 | 10 | 36635 (mod 65536) | 59049 | 83245 | 13 |
| 1110101101011010 | 16 | 10 | 17479 (mod 65536) | 59049 | 140065 | 22 |
| 1110101101011100 | 16 | 10 | 25671 (mod 65536) | 59049 | 131873 | 21 |
| 1110101101101010 | 16 | 10 | 51271 (mod 65536) | 59049 | 130849 | 21 |
| 1110101101101100 | 16 | 10 | 59463 (mod 65536) | 59049 | 122657 | 19 |
| 1110101101110010 | 16 | 10 | 8263 (mod 65536) | 59049 | 124705 | 20 |
| 1110101101110100 | 16 | 10 | 16455 (mod 65536) | 59049 | 116513 | 18 |
| 1110101101111000 | 16 | 10 | 53319 (mod 65536) | 59049 | 112417 | 18 |
| 1110101110011010 | 16 | 10 | 26439 (mod 65536) | 59049 | 133153 | 21 |
| 1110101110011100 | 16 | 10 | 34631 (mod 65536) | 59049 | 124961 | 20 |
| 1110101110101010 | 16 | 10 | 60231 (mod 65536) | 59049 | 123937 | 20 |
| 1110101110101100 | 16 | 10 | 2887 (mod 65536) | 59049 | 115745 | 18 |
| 1110101110110010 | 16 | 10 | 17223 (mod 65536) | 59049 | 117793 | 19 |
| 1110101110110100 | 16 | 10 | 25415 (mod 65536) | 59049 | 109601 | 17 |
| 1110101110111000 | 16 | 10 | 62279 (mod 65536) | 59049 | 105505 | 17 |
| 1110101111001010 | 16 | 10 | 44359 (mod 65536) | 59049 | 119329 | 19 |
| 1110101111001100 | 16 | 10 | 52551 (mod 65536) | 59049 | 111137 | 18 |
| 1110101111010010 | 16 | 10 | 1351 (mod 65536) | 59049 | 113185 | 18 |
| 1110101111010100 | 16 | 10 | 9543 (mod 65536) | 59049 | 104993 | 17 |
| 1110101111011000 | 16 | 10 | 46407 (mod 65536) | 59049 | 100897 | 16 |
| 1110101111100010 | 16 | 10 | 12615 (mod 65536) | 59049 | 110113 | 17 |
| 1110101111100100 | 16 | 10 | 20807 (mod 65536) | 59049 | 101921 | 16 |
| 1110101111101000 | 16 | 10 | 57671 (mod 65536) | 59049 | 97825 | 16 |
| 1110101111110000 | 16 | 10 | 43335 (mod 65536) | 59049 | 95777 | 15 |
| 1110110101011010 | 16 | 10 | 19367 (mod 65536) | 59049 | 132289 | 21 |
| 1110110101011100 | 16 | 10 | 27559 (mod 65536) | 59049 | 124097 | 20 |
| 1110110101101010 | 16 | 10 | 53159 (mod 65536) | 59049 | 123073 | 19 |
| 1110110101101100 | 16 | 10 | 61351 (mod 65536) | 59049 | 114881 | 18 |
| 1110110101110010 | 16 | 10 | 10151 (mod 65536) | 59049 | 116929 | 19 |
| 1110110101110100 | 16 | 10 | 18343 (mod 65536) | 59049 | 108737 | 17 |
| 1110110101111000 | 16 | 10 | 55207 (mod 65536) | 59049 | 104641 | 17 |
| 1110110110011010 | 16 | 10 | 28327 (mod 65536) | 59049 | 125377 | 20 |
| 1110110110011100 | 16 | 10 | 36519 (mod 65536) | 59049 | 117185 | 19 |
| 1110110110101010 | 16 | 10 | 62119 (mod 65536) | 59049 | 116161 | 18 |
| 1110110110101100 | 16 | 10 | 4775 (mod 65536) | 59049 | 107969 | 17 |
| 1110110110110010 | 16 | 10 | 19111 (mod 65536) | 59049 | 110017 | 17 |
| 1110110110110100 | 16 | 10 | 27303 (mod 65536) | 59049 | 101825 | 16 |
| 1110110110111000 | 16 | 10 | 64167 (mod 65536) | 59049 | 97729 | 16 |
| 1110110111001010 | 16 | 10 | 46247 (mod 65536) | 59049 | 111553 | 18 |
| 1110110111001100 | 16 | 10 | 54439 (mod 65536) | 59049 | 103361 | 16 |
| 1110110111010010 | 16 | 10 | 3239 (mod 65536) | 59049 | 105409 | 17 |
| 1110110111010100 | 16 | 10 | 11431 (mod 65536) | 59049 | 97217 | 15 |
| 1110110111011000 | 16 | 10 | 48295 (mod 65536) | 59049 | 93121 | 15 |
| 1110110111100010 | 16 | 10 | 14503 (mod 65536) | 59049 | 102337 | 16 |
| 1110110111100100 | 16 | 10 | 22695 (mod 65536) | 59049 | 94145 | 15 |
| 1110110111101000 | 16 | 10 | 59559 (mod 65536) | 59049 | 90049 | 14 |
| 1110110111110000 | 16 | 10 | 45223 (mod 65536) | 59049 | 88001 | 14 |
| 1110111001011010 | 16 | 10 | 42471 (mod 65536) | 59049 | 127105 | 20 |
| 1110111001011100 | 16 | 10 | 50663 (mod 65536) | 59049 | 118913 | 19 |
| 1110111001101010 | 16 | 10 | 10727 (mod 65536) | 59049 | 117889 | 19 |
| 1110111001101100 | 16 | 10 | 18919 (mod 65536) | 59049 | 109697 | 17 |
| 1110111001110010 | 16 | 10 | 33255 (mod 65536) | 59049 | 111745 | 18 |
| 1110111001110100 | 16 | 10 | 41447 (mod 65536) | 59049 | 103553 | 16 |
| 1110111001111000 | 16 | 10 | 12775 (mod 65536) | 59049 | 99457 | 16 |
| 1110111010011010 | 16 | 10 | 51431 (mod 65536) | 59049 | 120193 | 19 |
| 1110111010011100 | 16 | 10 | 59623 (mod 65536) | 59049 | 112001 | 18 |
| 1110111010101010 | 16 | 10 | 19687 (mod 65536) | 59049 | 110977 | 18 |
| 1110111010101100 | 16 | 10 | 27879 (mod 65536) | 59049 | 102785 | 16 |
| 1110111010110010 | 16 | 10 | 42215 (mod 65536) | 59049 | 104833 | 17 |
| 1110111010110100 | 16 | 10 | 50407 (mod 65536) | 59049 | 96641 | 15 |
| 1110111010111000 | 16 | 10 | 21735 (mod 65536) | 59049 | 92545 | 15 |
| 1110111011001010 | 16 | 10 | 3815 (mod 65536) | 59049 | 106369 | 17 |
| 1110111011001100 | 16 | 10 | 12007 (mod 65536) | 59049 | 98177 | 16 |
| 1110111011010010 | 16 | 10 | 26343 (mod 65536) | 59049 | 100225 | 16 |
| 1110111011010100 | 16 | 10 | 34535 (mod 65536) | 59049 | 92033 | 15 |
| 1110111011011000 | 16 | 10 | 5863 (mod 65536) | 59049 | 87937 | 14 |
| 1110111011100010 | 16 | 10 | 37607 (mod 65536) | 59049 | 97153 | 15 |
| 1110111011100100 | 16 | 10 | 45799 (mod 65536) | 59049 | 88961 | 14 |
| 1110111011101000 | 16 | 10 | 17127 (mod 65536) | 59049 | 84865 | 14 |
| 1110111011110000 | 16 | 10 | 2791 (mod 65536) | 59049 | 82817 | 13 |
| 1110111100011010 | 16 | 10 | 23143 (mod 65536) | 59049 | 116737 | 18 |
| 1110111100011100 | 16 | 10 | 31335 (mod 65536) | 59049 | 108545 | 17 |
| 1110111100101010 | 16 | 10 | 56935 (mod 65536) | 59049 | 107521 | 17 |
| 1110111100101100 | 16 | 10 | 65127 (mod 65536) | 59049 | 99329 | 16 |
| 1110111100110010 | 16 | 10 | 13927 (mod 65536) | 59049 | 101377 | 16 |
| 1110111100110100 | 16 | 10 | 22119 (mod 65536) | 59049 | 93185 | 15 |
| 1110111100111000 | 16 | 10 | 58983 (mod 65536) | 59049 | 89089 | 14 |
| 1110111101001010 | 16 | 10 | 41063 (mod 65536) | 59049 | 102913 | 16 |
| 1110111101001100 | 16 | 10 | 49255 (mod 65536) | 59049 | 94721 | 15 |
| 1110111101010010 | 16 | 10 | 63591 (mod 65536) | 59049 | 96769 | 15 |
| 1110111101010100 | 16 | 10 | 6247 (mod 65536) | 59049 | 88577 | 14 |
| 1110111101011000 | 16 | 10 | 43111 (mod 65536) | 59049 | 84481 | 14 |
| 1110111101100010 | 16 | 10 | 9319 (mod 65536) | 59049 | 93697 | 15 |
| 1110111101100100 | 16 | 10 | 17511 (mod 65536) | 59049 | 85505 | 14 |
| 1110111101101000 | 16 | 10 | 54375 (mod 65536) | 59049 | 81409 | 13 |
| 1110111101110000 | 16 | 10 | 40039 (mod 65536) | 59049 | 79361 | 13 |
| 1110111110001010 | 16 | 10 | 359 (mod 65536) | 59049 | 100609 | 16 |
| 1110111110001100 | 16 | 10 | 8551 (mod 65536) | 59049 | 92417 | 15 |
| 1110111110010010 | 16 | 10 | 22887 (mod 65536) | 59049 | 94465 | 15 |
| 1110111110010100 | 16 | 10 | 31079 (mod 65536) | 59049 | 86273 | 14 |
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| 1111111100010100 | 16 | 10 | 59647 (mod 65536) | 59049 | 71081 | 11 |
| 1111111100011000 | 16 | 10 | 30975 (mod 65536) | 59049 | 66985 | 11 |
| 1111111100100010 | 16 | 10 | 62719 (mod 65536) | 59049 | 76201 | 12 |
| 1111111100100100 | 16 | 10 | 5375 (mod 65536) | 59049 | 68009 | 11 |
| 1111111100101000 | 16 | 10 | 42239 (mod 65536) | 59049 | 63913 | 10 |
| 1111111100110000 | 16 | 10 | 27903 (mod 65536) | 59049 | 61865 | 10 |
| 1111111101000010 | 16 | 10 | 35583 (mod 65536) | 59049 | 74665 | 12 |
| 1111111101000100 | 16 | 10 | 43775 (mod 65536) | 59049 | 66473 | 11 |
| 1111111101001000 | 16 | 10 | 15103 (mod 65536) | 59049 | 62377 | 10 |
| 1111111101010000 | 16 | 10 | 767 (mod 65536) | 59049 | 60329 | 10 |
| 1111111101100000 | 16 | 10 | 26367 (mod 65536) | 59049 | 59305 | 10 |
| 1111111110000010 | 16 | 10 | 22015 (mod 65536) | 59049 | 73897 | 12 |
| 1111111110000100 | 16 | 10 | 30207 (mod 65536) | 59049 | 65705 | 11 |
| 1111111110001000 | 16 | 10 | 1535 (mod 65536) | 59049 | 61609 | 10 |
| 1111111110010000 | 16 | 10 | 52735 (mod 65536) | 59049 | 59561 | 10 |
| 1111111110100000 | 16 | 10 | 12799 (mod 65536) | 59049 | 58537 | 10 |
| 1111111111000000 | 16 | 10 | 25599 (mod 65536) | 59049 | 58025 | 9 |

### Classes non fermées à profondeur 16 (liste exhaustive)

Chaque élément ci‑dessous est un mot de parité de longueur 16 correspondant à une unique classe modulo 2^16 qui n’a pas été fermée par la condition de contraction locale avant la profondeur maximale.

1101101101011011 1101101101011101 1101101101011110 1101101101011111 1101101101101011 1101101101101101 1101101101101110 1101101101101111
1101101101110011 1101101101110101 1101101101110110 1101101101110111 1101101101111001 1101101101111010 1101101101111011 1101101101111100
1101101101111101 1101101101111110 1101101101111111 1101101110011011 1101101110011101 1101101110011110 1101101110011111 1101101110101011
1101101110101101 1101101110101110 1101101110101111 1101101110110011 1101101110110101 1101101110110110 1101101110110111 1101101110111001
1101101110111010 1101101110111011 1101101110111100 1101101110111101 1101101110111110 1101101110111111 1101101111001011 1101101111001101
1101101111001110 1101101111001111 1101101111010011 1101101111010101 1101101111010110 1101101111010111 1101101111011001 1101101111011010
1101101111011011 1101101111011100 1101101111011101 1101101111011110 1101101111011111 1101101111100011 1101101111100101 1101101111100110
1101101111100111 1101101111101001 1101101111101010 1101101111101011 1101101111101100 1101101111101101 1101101111101110 1101101111101111
1101101111110001 1101101111110010 1101101111110011 1101101111110100 1101101111110101 1101101111110110 1101101111110111 1101101111111000
1101101111111001 1101101111111010 1101101111111011 1101101111111100 1101101111111101 1101101111111110 1101101111111111 1101110101011011
1101110101011101 1101110101011110 1101110101011111 1101110101101011 1101110101101101 1101110101101110 1101110101101111 1101110101110011
1101110101110101 1101110101110110 1101110101110111 1101110101111001 1101110101111010 1101110101111011 1101110101111100 1101110101111101
1101110101111110 1101110101111111 1101110110011011 1101110110011101 1101110110011110 1101110110011111 1101110110101011 1101110110101101
1101110110101110 1101110110101111 1101110110110011 1101110110110101 1101110110110110 1101110110110111 1101110110111001 1101110110111010
1101110110111011 1101110110111100 1101110110111101 1101110110111110 1101110110111111 1101110111001011 1101110111001101 1101110111001110
1101110111001111 1101110111010011 1101110111010101 1101110111010110 1101110111010111 1101110111011001 1101110111011010 1101110111011011
1101110111011100 1101110111011101 1101110111011110 1101110111011111 1101110111100011 1101110111100101 1101110111100110 1101110111100111
1101110111101001 1101110111101010 1101110111101011 1101110111101100 1101110111101101 1101110111101110 1101110111101111 1101110111110001
1101110111110010 1101110111110011 1101110111110100 1101110111110101 1101110111110110 1101110111110111 1101110111111000 1101110111111001
1101110111111010 1101110111111011 1101110111111100 1101110111111101 1101110111111110 1101110111111111 1101111001011011 1101111001011101
1101111001011110 1101111001011111 1101111001101011 1101111001101101 1101111001101110 1101111001101111 1101111001110011 1101111001110101
1101111001110110 1101111001110111 1101111001111001 1101111001111010 1101111001111011 1101111001111100 1101111001111101 1101111001111110
1101111001111111 1101111010011011 1101111010011101 1101111010011110 1101111010011111 1101111010101011 1101111010101101 1101111010101110
1101111010101111 1101111010110011 1101111010110101 1101111010110110 1101111010110111 1101111010111001 1101111010111010 1101111010111011
1101111010111100 1101111010111101 1101111010111110 1101111010111111 1101111011001011 1101111011001101 1101111011001110 1101111011001111
1101111011010011 1101111011010101 1101111011010110 1101111011010111 1101111011011001 1101111011011010 1101111011011011 1101111011011100
1101111011011101 1101111011011110 1101111011011111 1101111011100011 1101111011100101 1101111011100110 1101111011100111 1101111011101001
1101111011101010 1101111011101011 1101111011101100 1101111011101101 1101111011101110 1101111011101111 1101111011110001 1101111011110010
1101111011110011 1101111011110100 1101111011110101 1101111011110110 1101111011110111 1101111011111000 1101111011111001 1101111011111010
1101111011111011 1101111011111100 1101111011111101 1101111011111110 1101111011111111 1101111100011011 1101111100011101 1101111100011110
1101111100011111 1101111100101011 1101111100101101 1101111100101110 1101111100101111 1101111100110011 1101111100110101 1101111100110110
1101111100110111 1101111100111001 1101111100111010 1101111100111011 1101111100111100 1101111100111101 1101111100111110 1101111100111111
1101111101001011 1101111101001101 1101111101001110 1101111101001111 1101111101010011 1101111101010101 1101111101010110 1101111101010111
1101111101011001 1101111101011010 1101111101011011 1101111101011100 1101111101011101 1101111101011110 1101111101011111 1101111101100011
1101111101100101 1101111101100110 1101111101100111 1101111101101001 1101111101101010 1101111101101011 1101111101101100 1101111101101101
1101111101101110 1101111101101111 1101111101110001 1101111101110010 1101111101110011 1101111101110100 1101111101110101 1101111101110110
1101111101110111 1101111101111000 1101111101111001 1101111101111010 1101111101111011 1101111101111100 1101111101111101 1101111101111110
1101111101111111 1101111110001011 1101111110001101 1101111110001110 1101111110001111 1101111110010011 1101111110010101 1101111110010110
1101111110010111 1101111110011001 1101111110011010 1101111110011011 1101111110011100 1101111110011101 1101111110011110 1101111110011111
1101111110100011 1101111110100101 1101111110100110 1101111110100111 1101111110101001 1101111110101010 1101111110101011 1101111110101100
1101111110101101 1101111110101110 1101111110101111 1101111110110001 1101111110110010 1101111110110011 1101111110110100 1101111110110101
1101111110110110 1101111110110111 1101111110111000 1101111110111001 1101111110111010 1101111110111011 1101111110111100 1101111110111101
1101111110111110 1101111110111111 1101111111000011 1101111111000101 1101111111000110 1101111111000111 1101111111001001 1101111111001010
1101111111001011 1101111111001100 1101111111001101 1101111111001110 1101111111001111 1101111111010001 1101111111010010 1101111111010011
1101111111010100 1101111111010101 1101111111010110 1101111111010111 1101111111011000 1101111111011001 1101111111011010 1101111111011011
1101111111011100 1101111111011101 1101111111011110 1101111111011111 1101111111100001 1101111111100010 1101111111100011 1101111111100100
1101111111100101 1101111111100110 1101111111100111 1101111111101000 1101111111101001 1101111111101010 1101111111101011 1101111111101100
1101111111101101 1101111111101110 1101111111101111 1101111111110000 1101111111110001 1101111111110010 1101111111110011 1101111111110100
1101111111110101 1101111111110110 1101111111110111 1101111111111000 1101111111111001 1101111111111010 1101111111111011 1101111111111100
1101111111111101 1101111111111110 1101111111111111 1110101101011011 1110101101011101 1110101101011110 1110101101011111 1110101101101011
1110101101101101 1110101101101110 1110101101101111 1110101101110011 1110101101110101 1110101101110110 1110101101110111 1110101101111001
1110101101111010 1110101101111011 1110101101111100 1110101101111101 1110101101111110 1110101101111111 1110101110011011 1110101110011101
1110101110011110 1110101110011111 1110101110101011 1110101110101101 1110101110101110 1110101110101111 1110101110110011 1110101110110101
1110101110110110 1110101110110111 1110101110111001 1110101110111010 1110101110111011 1110101110111100 1110101110111101 1110101110111110
1110101110111111 1110101111001011 1110101111001101 1110101111001110 1110101111001111 1110101111010011 1110101111010101 1110101111010110
1110101111010111 1110101111011001 1110101111011010 1110101111011011 1110101111011100 1110101111011101 1110101111011110 1110101111011111
1110101111100011 1110101111100101 1110101111100110 1110101111100111 1110101111101001 1110101111101010 1110101111101011 1110101111101100
1110101111101101 1110101111101110 1110101111101111 1110101111110001 1110101111110010 1110101111110011 1110101111110100 1110101111110101
1110101111110110 1110101111110111 1110101111111000 1110101111111001 1110101111111010 1110101111111011 1110101111111100 1110101111111101
1110101111111110 1110101111111111 1110110101011011 1110110101011101 1110110101011110 1110110101011111 1110110101101011 1110110101101101
1110110101101110 1110110101101111 1110110101110011 1110110101110101 1110110101110110 1110110101110111 1110110101111001 1110110101111010
1110110101111011 1110110101111100 1110110101111101 1110110101111110 1110110101111111 1110110110011011 1110110110011101 1110110110011110
1110110110011111 1110110110101011 1110110110101101 1110110110101110 1110110110101111 1110110110110011 1110110110110101 1110110110110110
1110110110110111 1110110110111001 1110110110111010 1110110110111011 1110110110111100 1110110110111101 1110110110111110 1110110110111111
1110110111001011 1110110111001101 1110110111001110 1110110111001111 1110110111010011 1110110111010101 1110110111010110 1110110111010111
1110110111011001 1110110111011010 1110110111011011 1110110111011100 1110110111011101 1110110111011110 1110110111011111 1110110111100011
1110110111100101 1110110111100110 1110110111100111 1110110111101001 1110110111101010 1110110111101011 1110110111101100 1110110111101101
1110110111101110 1110110111101111 1110110111110001 1110110111110010 1110110111110011 1110110111110100 1110110111110101 1110110111110110
1110110111110111 1110110111111000 1110110111111001 1110110111111010 1110110111111011 1110110111111100 1110110111111101 1110110111111110
1110110111111111 1110111001011011 1110111001011101 1110111001011110 1110111001011111 1110111001101011 1110111001101101 1110111001101110
1110111001101111 1110111001110011 1110111001110101 1110111001110110 1110111001110111 1110111001111001 1110111001111010 1110111001111011
1110111001111100 1110111001111101 1110111001111110 1110111001111111 1110111010011011 1110111010011101 1110111010011110 1110111010011111
1110111010101011 1110111010101101 1110111010101110 1110111010101111 1110111010110011 1110111010110101 1110111010110110 1110111010110111
1110111010111001 1110111010111010 1110111010111011 1110111010111100 1110111010111101 1110111010111110 1110111010111111 1110111011001011
1110111011001101 1110111011001110 1110111011001111 1110111011010011 1110111011010101 1110111011010110 1110111011010111 1110111011011001
1110111011011010 1110111011011011 1110111011011100 1110111011011101 1110111011011110 1110111011011111 1110111011100011 1110111011100101
1110111011100110 1110111011100111 1110111011101001 1110111011101010 1110111011101011 1110111011101100 1110111011101101 1110111011101110
1110111011101111 1110111011110001 1110111011110010 1110111011110011 1110111011110100 1110111011110101 1110111011110110 1110111011110111
1110111011111000 1110111011111001 1110111011111010 1110111011111011 1110111011111100 1110111011111101 1110111011111110 1110111011111111
1110111100011011 1110111100011101 1110111100011110 1110111100011111 1110111100101011 1110111100101101 1110111100101110 1110111100101111
1110111100110011 1110111100110101 1110111100110110 1110111100110111 1110111100111001 1110111100111010 1110111100111011 1110111100111100
1110111100111101 1110111100111110 1110111100111111 1110111101001011 1110111101001101 1110111101001110 1110111101001111 1110111101010011
1110111101010101 1110111101010110 1110111101010111 1110111101011001 1110111101011010 1110111101011011 1110111101011100 1110111101011101
1110111101011110 1110111101011111 1110111101100011 1110111101100101 1110111101100110 1110111101100111 1110111101101001 1110111101101010
1110111101101011 1110111101101100 1110111101101101 1110111101101110 1110111101101111 1110111101110001 1110111101110010 1110111101110011
1110111101110100 1110111101110101 1110111101110110 1110111101110111 1110111101111000 1110111101111001 1110111101111010 1110111101111011
1110111101111100 1110111101111101 1110111101111110 1110111101111111 1110111110001011 1110111110001101 1110111110001110 1110111110001111
1110111110010011 1110111110010101 1110111110010110 1110111110010111 1110111110011001 1110111110011010 1110111110011011 1110111110011100
1110111110011101 1110111110011110 1110111110011111 1110111110100011 1110111110100101 1110111110100110 1110111110100111 1110111110101001
1110111110101010 1110111110101011 1110111110101100 1110111110101101 1110111110101110 1110111110101111 1110111110110001 1110111110110010
1110111110110011 1110111110110100 1110111110110101 1110111110110110 1110111110110111 1110111110111000 1110111110111001 1110111110111010
1110111110111011 1110111110111100 1110111110111101 1110111110111110 1110111110111111 1110111111000011 1110111111000101 1110111111000110
1110111111000111 1110111111001001 1110111111001010 1110111111001011 1110111111001100 1110111111001101 1110111111001110 1110111111001111
1110111111010001 1110111111010010 1110111111010011 1110111111010100 1110111111010101 1110111111010110 1110111111010111 1110111111011000
1110111111011001 1110111111011010 1110111111011011 1110111111011100 1110111111011101 1110111111011110 1110111111011111 1110111111100001
1110111111100010 1110111111100011 1110111111100100 1110111111100101 1110111111100110 1110111111100111 1110111111101000 1110111111101001
1110111111101010 1110111111101011 1110111111101100 1110111111101101 1110111111101110 1110111111101111 1110111111110000 1110111111110001
1110111111110010 1110111111110011 1110111111110100 1110111111110101 1110111111110110 1110111111110111 1110111111111000 1110111111111001
1110111111111010 1110111111111011 1110111111111100 1110111111111101 1110111111111110 1110111111111111 1111001101011011 1111001101011101
1111001101011110 1111001101011111 1111001101101011 1111001101101101 1111001101101110 1111001101101111 1111001101110011 1111001101110101
1111001101110110 1111001101110111 1111001101111001 1111001101111010 1111001101111011 1111001101111100 1111001101111101 1111001101111110
1111001101111111 1111001110011011 1111001110011101 1111001110011110 1111001110011111 1111001110101011 1111001110101101 1111001110101110
1111001110101111 1111001110110011 1111001110110101 1111001110110110 1111001110110111 1111001110111001 1111001110111010 1111001110111011
1111001110111100 1111001110111101 1111001110111110 1111001110111111 1111001111001011 1111001111001101 1111001111001110 1111001111001111
1111001111010011 1111001111010101 1111001111010110 1111001111010111 1111001111011001 1111001111011010 1111001111011011 1111001111011100
1111001111011101 1111001111011110 1111001111011111 1111001111100011 1111001111100101 1111001111100110 1111001111100111 1111001111101001
1111001111101010 1111001111101011 1111001111101100 1111001111101101 1111001111101110 1111001111101111 1111001111110001 1111001111110010
1111001111110011 1111001111110100 1111001111110101 1111001111110110 1111001111110111 1111001111111000 1111001111111001 1111001111111010
1111001111111011 1111001111111100 1111001111111101 1111001111111110 1111001111111111 1111010101011011 1111010101011101 1111010101011110
1111010101011111 1111010101101011 1111010101101101 1111010101101110 1111010101101111 1111010101110011 1111010101110101 1111010101110110
1111010101110111 1111010101111001 1111010101111010 1111010101111011 1111010101111100 1111010101111101 1111010101111110 1111010101111111
1111010110011011 1111010110011101 1111010110011110 1111010110011111 1111010110101011 1111010110101101 1111010110101110 1111010110101111
1111010110110011 1111010110110101 1111010110110110 1111010110110111 1111010110111001 1111010110111010 1111010110111011 1111010110111100
1111010110111101 1111010110111110 1111010110111111 1111010111001011 1111010111001101 1111010111001110 1111010111001111 1111010111010011
1111010111010101 1111010111010110 1111010111010111 1111010111011001 1111010111011010 1111010111011011 1111010111011100 1111010111011101
1111010111011110 1111010111011111 1111010111100011 1111010111100101 1111010111100110 1111010111100111 1111010111101001 1111010111101010
1111010111101011 1111010111101100 1111010111101101 1111010111101110 1111010111101111 1111010111110001 1111010111110010 1111010111110011
1111010111110100 1111010111110101 1111010111110110 1111010111110111 1111010111111000 1111010111111001 1111010111111010 1111010111111011
1111010111111100 1111010111111101 1111010111111110 1111010111111111 1111011001011011 1111011001011101 1111011001011110 1111011001011111
1111011001101011 1111011001101101 1111011001101110 1111011001101111 1111011001110011 1111011001110101 1111011001110110 1111011001110111
1111011001111001 1111011001111010 1111011001111011 1111011001111100 1111011001111101 1111011001111110 1111011001111111 1111011010011011
1111011010011101 1111011010011110 1111011010011111 1111011010101011 1111011010101101 1111011010101110 1111011010101111 1111011010110011
1111011010110101 1111011010110110 1111011010110111 1111011010111001 1111011010111010 1111011010111011 1111011010111100 1111011010111101
1111011010111110 1111011010111111 1111011011001011 1111011011001101 1111011011001110 1111011011001111 1111011011010011 1111011011010101
1111011011010110 1111011011010111 1111011011011001 1111011011011010 1111011011011011 1111011011011100 1111011011011101 1111011011011110
1111011011011111 1111011011100011 1111011011100101 1111011011100110 1111011011100111 1111011011101001 1111011011101010 1111011011101011
1111011011101100 1111011011101101 1111011011101110 1111011011101111 1111011011110001 1111011011110010 1111011011110011 1111011011110100
1111011011110101 1111011011110110 1111011011110111 1111011011111000 1111011011111001 1111011011111010 1111011011111011 1111011011111100
1111011011111101 1111011011111110 1111011011111111 1111011100011011 1111011100011101 1111011100011110 1111011100011111 1111011100101011
1111011100101101 1111011100101110 1111011100101111 1111011100110011 1111011100110101 1111011100110110 1111011100110111 1111011100111001
1111011100111010 1111011100111011 1111011100111100 1111011100111101 1111011100111110 1111011100111111 1111011101001011 1111011101001101
1111011101001110 1111011101001111 1111011101010011 1111011101010101 1111011101010110 1111011101010111 1111011101011001 1111011101011010
1111011101011011 1111011101011100 1111011101011101 1111011101011110 1111011101011111 1111011101100011 1111011101100101 1111011101100110
1111011101100111 1111011101101001 1111011101101010 1111011101101011 1111011101101100 1111011101101101 1111011101101110 1111011101101111
1111011101110001 1111011101110010 1111011101110011 1111011101110100 1111011101110101 1111011101110110 1111011101110111 1111011101111000
1111011101111001 1111011101111010 1111011101111011 1111011101111100 1111011101111101 1111011101111110 1111011101111111 1111011110001011
1111011110001101 1111011110001110 1111011110001111 1111011110010011 1111011110010101 1111011110010110 1111011110010111 1111011110011001
1111011110011010 1111011110011011 1111011110011100 1111011110011101 1111011110011110 1111011110011111 1111011110100011 1111011110100101
1111011110100110 1111011110100111 1111011110101001 1111011110101010 1111011110101011 1111011110101100 1111011110101101 1111011110101110
1111011110101111 1111011110110001 1111011110110010 1111011110110011 1111011110110100 1111011110110101 1111011110110110 1111011110110111
1111011110111000 1111011110111001 1111011110111010 1111011110111011 1111011110111100 1111011110111101 1111011110111110 1111011110111111
1111011111000011 1111011111000101 1111011111000110 1111011111000111 1111011111001001 1111011111001010 1111011111001011 1111011111001100
1111011111001101 1111011111001110 1111011111001111 1111011111010001 1111011111010010 1111011111010011 1111011111010100 1111011111010101
1111011111010110 1111011111010111 1111011111011000 1111011111011001 1111011111011010 1111011111011011 1111011111011100 1111011111011101
1111011111011110 1111011111011111 1111011111100001 1111011111100010 1111011111100011 1111011111100100 1111011111100101 1111011111100110
1111011111100111 1111011111101000 1111011111101001 1111011111101010 1111011111101011 1111011111101100 1111011111101101 1111011111101110
1111011111101111 1111011111110000 1111011111110001 1111011111110010 1111011111110011 1111011111110100 1111011111110101 1111011111110110
1111011111110111 1111011111111000 1111011111111001 1111011111111010 1111011111111011 1111011111111100 1111011111111101 1111011111111110
1111011111111111 1111100101011011 1111100101011101 1111100101011110 1111100101011111 1111100101101011 1111100101101101 1111100101101110
1111100101101111 1111100101110011 1111100101110101 1111100101110110 1111100101110111 1111100101111001 1111100101111010 1111100101111011
1111100101111100 1111100101111101 1111100101111110 1111100101111111 1111100110011011 1111100110011101 1111100110011110 1111100110011111
1111100110101011 1111100110101101 1111100110101110 1111100110101111 1111100110110011 1111100110110101 1111100110110110 1111100110110111
1111100110111001 1111100110111010 1111100110111011 1111100110111100 1111100110111101 1111100110111110 1111100110111111 1111100111001011
1111100111001101 1111100111001110 1111100111001111 1111100111010011 1111100111010101 1111100111010110 1111100111010111 1111100111011001
1111100111011010 1111100111011011 1111100111011100 1111100111011101 1111100111011110 1111100111011111 1111100111100011 1111100111100101
1111100111100110 1111100111100111 1111100111101001 1111100111101010 1111100111101011 1111100111101100 1111100111101101 1111100111101110
1111100111101111 1111100111110001 1111100111110010 1111100111110011 1111100111110100 1111100111110101 1111100111110110 1111100111110111
1111100111111000 1111100111111001 1111100111111010 1111100111111011 1111100111111100 1111100111111101 1111100111111110 1111100111111111
1111101001011011 1111101001011101 1111101001011110 1111101001011111 1111101001101011 1111101001101101 1111101001101110 1111101001101111
1111101001110011 1111101001110101 1111101001110110 1111101001110111 1111101001111001 1111101001111010 1111101001111011 1111101001111100
1111101001111101 1111101001111110 1111101001111111 1111101010011011 1111101010011101 1111101010011110 1111101010011111 1111101010101011
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1111101010111010 1111101010111011 1111101010111100 1111101010111101 1111101010111110 1111101010111111 1111101011001011 1111101011001101
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