Benutzer:Entropy/Wahlen/AVNRW13

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Zusammenfassung

Achtung: die Analyse ist noch nicht fertig.

Analyse von https://wiki.piratenpartei.de/NRW:Aufstellungsversammlung_2013.1/Ergebnisse

Für mehr Details siehe AVB13.

Bewertungswahl, aka Range oder Score voting (Original-Ergebnis)

siehe auch Bewertungswahl

Das Verfahren kann ohne weiteres manuell ausgewertet werden.

  1. 6.24 Punkte: Melanie Kalkowski
  2. 5.42 Punkte: Udo Vetter
  3. 4.78 Punkte: Thomas Weijers
  4. 4.55 Punkte: Jens Seipenbusch
  5. 4.50 Punkte: Christina Worm
  6. 4.38 Punkte: Markus Kompa
  7. 4.26 Punkte: Andreas Graaf
  8. 4.16 Punkte: Markus Barenhoff
  9. 4.01 Punkte: Andreas Rohde
  10. 3.94 Punkte: Alexander Reintzsch
  11. 3.82 Punkte: Achim Müller
  12. 3.77 Punkte: Valentin Brückel
  13. 3.72 Punkte: Patrick Schiffer
  14. 3.35 Punkte: Isabelle Sandow
  15. 3.18 Punkte: Uwe Stein
  16. 3.17 Punkte: Pascal Powroznik
  17. 3.03 Punkte: Mike Nolte
  18. 2.80 Punkte: Thomas Küppers
  19. 2.76 Punkte: Sven Sladek
  20. 2.73 Punkte: René Röderstein
  21. 2.68 Punkte: Tobias Stephan
  22. 2.51 Punkte: Dieter McDevitt
  23. 2.41 Punkte: Stephanie Nöther
  24. 2.32 Punkte: Dr. Robert Arnold
  25. 2.21 Punkte: Christopher Schrage
  26. 2.14 Punkte: Christian Nissen
  27. 2.05 Punkte: Holger Hennig
  28. 2.00 Punkte: Marc Salgert

Approval voting mit Enthaltung

Hätte man die Punkte ignoriert und lediglich nach Ja(1-9) und Nein(0) Stimmen ausgewertet, würde sich folgende Reihenfolge ergeben. Dabei wurde primär nach der Differenz Ja-Nein Stimmen und sekundär nach Ja-Stimmen sortiert um Enthaltungen zu berücksichtigen. Man könnte auch nach durchschnittlicher Zustimmung sortieren, das Ergebnis wurde sich aber kaum unterscheiden.

Das Verfahren kann ohne weiteres manuell ausgewertet werden.

Im folgenden sind die Original-Plätze nach Bewertungswahl immer in Klammern angegeben.

  1. (01) Differenz=229 (Ja 274)= 85.9%: Melanie Kalkowski
  2. (02) Differenz=191 (Ja 256)= 79.8%: Udo Vetter
  3. (03) Differenz=174 (Ja 242)= 78.1%: Thomas Weijers
  4. (06) Differenz=161 (Ja 237)= 75.7%: Markus Kompa
  5. (04) Differenz=148 (Ja 234)= 73.1%: Jens Seipenbusch
  6. (07) Differenz=143 (Ja 228)= 72.8%: Andreas Graaf
  7. (05) Differenz=140 (Ja 224)= 72.7%: Christina Worm
  8. (08) Differenz=136 (Ja 226)= 71.5%: Markus Barenhoff
  9. (09) Differenz=128 (Ja 219)= 70.6%: Andreas Rohde
  10. (13) Differenz=125 (Ja 216)= 70.4%: Patrick Schiffer
  11. (11) Differenz=105 (Ja 206)= 67.1%: Achim Müller
  12. (12) Differenz=102 (Ja 204)= 66.7%: Valentin Brückel
  13. (15) Differenz=96 (Ja 200)= 65.8%: Uwe Stein
  14. (10) Differenz=95 (Ja 205)= 65.1%: Alexander Reintzsch
  15. (16) Differenz=93 (Ja 198)= 65.3%: Pascal Powroznik
  16. (14) Differenz=84 (Ja 199)= 63.4%: Isabelle Sandow
  17. (22) Differenz=81 (Ja 194)= 63.2%: Dieter McDevitt
  18. (20) Differenz=70 (Ja 187)= 61.5%: René Röderstein
  19. (21) Differenz=64 (Ja 186)= 60.4%: Tobias Stephan
  20. (18) Differenz=61 (Ja 188)= 59.7%: Thomas Küppers
  21. (19) Differenz=50 (Ja 183)= 57.9%: Sven Sladek
  22. (26) Differenz=50 (Ja 175)= 58.3%: Christian Nissen
  23. (24) Differenz=44 (Ja 172)= 57.3%: Dr. Robert Arnold
  24. (25) Differenz=43 (Ja 173)= 57.1%: Christopher Schrage
  25. (17) Differenz=38 (Ja 178)= 56.0%: Mike Nolte
  26. (28) Differenz=13 (Ja 155)= 52.2%: Marc Salgert
  27. (23) Differenz=11 (Ja 159)= 51.8%: Stephanie Nöther
  28. (27) Differenz=4 (Ja 155)= 50.7%: Holger Hennig

Relative Mehrheitswahl - Eine Stimme pro Wähler

siehe auch Mehrheitswahl

Das klassische Wahlverfahren der relativen Mehrheitswahl, das z.B. auch bei der Wahl der Wahlkreisbewerber bei der Bundestagswahl zum Einsatz kommt, sieht nur eine Stimme pro Wähler vor. Es benachteiligt Minderheiten. Es ist zwar das einfachste, aber auch das am wenigsten zufriedenstellende Wahlverfahren, da der Wähler

  • nicht angeben kann, dass er mehrere Kandidaten gut findet
  • Gefahr läuft seine Stimme zu verschwenden, wenn er sie einem vermutlich aussichtslosen Kandidaten gibt
  • eine kleine, gut kordinierte relative Mehrheit die Wahl gewinnen kann
  • und sich ähnliche Kandidaten Stimmen "klauen"

Eine solche Wahl wurde hier simuliert, indem jeder Wähler nur dem Kandidaten (mit einfacher Mehrheit im Approval), den er mit dem höchsten Rang bewertet hatte, seine Stimme gab. Wurde mehrere Kandidaten von ihm als Favorit bewertet, wurde die Stimme virtuell auf diese aufgeteilt, so als wären alle möglichen Kombinationen ausprobiert und deren Durchschnitt berechnet worden (daher die Nachkommastellen). Die Kandidaten sind nach der Summe ihrer Stimmen sortiert.

Das Verfahren kann ohne weiteres manuell ausgewertet werden.

  1. (01) 38.5 Stimmen: Melanie Kalkowski
  2. (02) 25.5 Stimmen: Udo Vetter
  3. (04) 17.6 Stimmen: Jens Seipenbusch
  4. (05) 16.8 Stimmen: Christina Worm
  5. (03) 16.2 Stimmen: Thomas Weijers
  6. (10) 14.9 Stimmen: Alexander Reintzsch
  7. (07) 12.1 Stimmen: Andreas Graaf
  8. (06) 12.0 Stimmen: Markus Kompa
  9. (12) 11.5 Stimmen: Valentin Brückel
  10. (14) 11.2 Stimmen: Isabelle Sandow
  11. (17) 10.8 Stimmen: Mike Nolte
  12. (09) 10.4 Stimmen: Andreas Rohde
  13. (11) 10.4 Stimmen: Achim Müller
  14. (18) 10.0 Stimmen: Thomas Küppers
  15. (08) 9.4 Stimmen: Markus Barenhoff
  16. (13) 7.3 Stimmen: Patrick Schiffer
  17. (19) 7.3 Stimmen: Sven Sladek
  18. (16) 6.0 Stimmen: Pascal Powroznik
  19. (15) 5.4 Stimmen: Uwe Stein
  20. (20) 5.4 Stimmen: René Röderstein
  21. (27) 5.4 Stimmen: Holger Hennig
  22. (21) 5.3 Stimmen: Tobias Stephan
  23. (23) 4.9 Stimmen: Stephanie Nöther
  24. (22) 4.3 Stimmen: Dieter McDevitt
  25. (24) 4.0 Stimmen: Dr. Robert Arnold
  26. (26) 3.1 Stimmen: Christian Nissen
  27. (28) 2.6 Stimmen: Marc Salgert
  28. (25) 2.2 Stimmen: Christopher Schrage

Iteratives Instant-Runoff Voting

siehe auch Instant-Runoff-Voting/Rangfolgewahl

IRV ist ein verbessertes Mehrheitswahlverfahren zur Bestimmung eines einzelnen Gewinners, bei der Stimmen nicht verloren gehen, da man auch seine 2., 3. usw Präferenz als "Ersatzstimmen" angeben kann, die zum Zuge kommen, falls die vorderen Präferenzen die Wahl verlieren.

Dazu wurde hier nacheinander jeder Platz ermittelt, indem die bisherigen Gewinner aus der Wahl ausschieden. Die Kandidaten, die im approval nicht die einfache Mehrheit erreichten, wurden erst am Ende herausgefiltert, um die Ersatzstimmen angemessen zu verwerten.

Das Verfahren kann auch zwar manuell ausgewertet werden, ist aber relativ aufwendig.

  1. (01) Melanie Kalkowski
  2. (02) Udo Vetter
  3. (05) Christina Worm
  4. (04) Jens Seipenbusch
  5. (03) Thomas Weijers
  6. (10) Alexander Reintzsch
  7. (07) Andreas Graaf
  8. (06) Markus Kompa
  9. (08) Markus Barenhoff
  10. (12) Valentin Brückel
  11. (09) Andreas Rohde
  12. (11) Achim Müller
  13. (14) Isabelle Sandow
  14. (13) Patrick Schiffer
  15. (17) Mike Nolte
  16. (16) Pascal Powroznik
  17. (15) Uwe Stein
  18. (19) Sven Sladek
  19. (18) Thomas Küppers
  20. (21) Tobias Stephan
  21. (23) Stephanie Nöther
  22. (20) René Röderstein
  23. (22) Dieter McDevitt
  24. (24) Dr. Robert Arnold
  25. (26) Christian Nissen
  26. (25) Christopher Schrage
  27. (27) Holger Hennig
  28. (28) Marc Salgert

Schulze-simple

Die Stimmen wurden zunächst nach Approval-Voting mit Enthaltung ausgewertet und Kandidaten ohne einfache Mehrheit (>0 vs. 0 Punkte) eliminiert. Die verbliebenden Kandidaten wurde mit Hilfe der Rangfolgen nach Punkten durch die Schulze-Methode in eine Reihenfolge gebracht. Es sei hier zu erwähnen, dass bei der Schulze-Methode keine Enthaltung möglich ist und "kein Rang" als "letzter Rang" gewertet wird. Daher wurden die Enthaltung stets vor den 0-Stimmen eingereiht. Bei Gleichstand wären Stichwahlen notwendig gewesen.

Die Ergebnisse sind auf Grund der Komplexität der Schulze-Methode mit vertretbarem Zeitaufwand nur mit dem Computer auswertbar und insbesondere bei den hinteren Plätzen kaum intuitiv nachvollziehbar.

  1. (01) Melanie Kalkowski
  2. (02) Udo Vetter
  3. (03) Thomas Weijers
  4. (04) Jens Seipenbusch
  5. (05) Christina Worm
  6. (06) Markus Kompa
  7. (07) Andreas Graaf
  8. (08) Markus Barenhoff
  9. (13) Patrick Schiffer
  10. (10) Alexander Reintzsch
  11. (09) Andreas Rohde
  12. (11) Achim Müller
  13. (12) Valentin Brückel
  14. (14) Isabelle Sandow
  15. (16) Pascal Powroznik
  16. (15) Uwe Stein
  17. (17) Mike Nolte
  18. (19) Sven Sladek
  19. (18) Thomas Küppers
  20. (21) Tobias Stephan
  21. (22) Dieter McDevitt
  22. (20) René Röderstein
  23. (25) Christopher Schrage
  24. (23) Stephanie Nöther
  25. (24) Dr. Robert Arnold
  26. (26) Christian Nissen
  27. (27) Holger Hennig
  28. (28) Marc Salgert

Hätte man die Kandidaten ohne einfache Mehrheit erst am Ende aussortiert, hätten sich nur Platz 27 und 28 vertauscht.

Vergleich Verhältniswahlverfahren

für mehr Details

Beschränktes Kumulieren (Pseudo-Verhältniswahl)

siehe auch Kritik am Kumulieren

Hier wurde das Wahlverfahren, das häufig im LV Bayern zum Einsatz kam, simuliert. Dabei hat jeder Wähler 1/3 mehr Stimmen (37), als Plätze (hier 28) zu vergeben sind und kann diese beliebig auf die Kandidaten verteilen, jedoch maximal 3 Stimmen pro Kandidaten.

Dies ist ein semi-proportionales (also keine richtige Verhältniswahl) Verfahren, das prinzipiell die gleichen Schwächen wie die relative Mehrheitswahl aufweist, wenn auch in leicht abgeschwächter Form. Dadurch sollen Minderheiten bessere Chancen bekommen, auch ihren Kandidaten einen Platz zu verschaffen, wenn sie konsistent alle ihre Stimmen auf ihre Kandidaten konzentrieren. Anderseits haben ähnliche Kandidaten schlechtere Chancen, da die Wähler ihre Stimmen verteilen und sie sich untereinander Stimmen klauen ("vote splitting"). Diese Effekte, "vor denen ich gewarnt hatte", konnte man gut auf der BTW-AV in Bayern beobachten.

Für die Simulation wurde eine simple Heuristik verwendet: Die Punkte wurden auf 3 Ränge reduziert 1.) 9,8,7, 2.) 6,5,4, 3.) 3,2,1. Grundsätzlich wurde dem 1. Rang möglichst 3 Stimmen, dem 2. 2 Stimmen und den weiteren Ja-Rängen 1 Stimme vergeben, bis keine Stimmen mehr übrig waren. Gab es für die verbliebenen Kandidaten in einem Rang nicht mehr genügend Stimmen, wurde die Stimme pro Kandidat auf mindestens 1 reduziert. Reichte selbst diese nicht mehr, wurde die Stimmen anteilig auf die Kandidaten verteilt (daher die Nachkommastellen, wie bei der relativen Mehrheitswahl).

Das Verfahren kann auch manuell ausgewertet werden, es müssen aber Wähler und Auswertende die Stimmzahlbeschränkungen berücksichtigen.

  1. (01) 622.3 Stimmen: Melanie Kalkowski
  2. (02) 539.9 Stimmen: Udo Vetter
  3. (03) 451.5 Stimmen: Thomas Weijers
  4. (04) 443.8 Stimmen: Jens Seipenbusch
  5. (05) 408.6 Stimmen: Christina Worm
  6. (06) 406.8 Stimmen: Markus Kompa
  7. (07) 404.4 Stimmen: Andreas Graaf
  8. (08) 387.8 Stimmen: Markus Barenhoff
  9. (10) 377.6 Stimmen: Alexander Reintzsch
  10. (09) 361.1 Stimmen: Andreas Rohde
  11. (11) 339.8 Stimmen: Achim Müller
  12. (13) 339.3 Stimmen: Patrick Schiffer
  13. (12) 331.1 Stimmen: Valentin Brückel
  14. (14) 307.1 Stimmen: Isabelle Sandow
  15. (17) 281.9 Stimmen: Mike Nolte
  16. (15) 262.8 Stimmen: Uwe Stein
  17. (16) 257.4 Stimmen: Pascal Powroznik
  18. (18) 253.6 Stimmen: Thomas Küppers
  19. (19) 244.2 Stimmen: Sven Sladek
  20. (20) 232.0 Stimmen: René Röderstein
  21. (21) 230.2 Stimmen: Tobias Stephan
  22. (23) 200.3 Stimmen: Stephanie Nöther
  23. (22) 195.3 Stimmen: Dieter McDevitt
  24. (24) 190.7 Stimmen: Dr. Robert Arnold
  25. (25) 178.2 Stimmen: Christopher Schrage
  26. (26) 167.0 Stimmen: Christian Nissen
  27. (27) 163.2 Stimmen: Holger Hennig
  28. (28) 149.4 Stimmen: Marc Salgert

Reweighted Range Voting

siehe auch RRV

Hierbei handelt es sich um die Verhältniswahlversion der Bewertungswahl. Das Sainte-Lague Verfahren wurde für die Proportionalität verwendet. Die Kandidaten ohne einfache Mehrheit wurden am Ende eliminiert.

Für die Auswertung mit vertretbarem Zeitaufwand ist ein Computer notwendig. Das Prinzip selbst kann aber mit Beispielen leicht intuitiv nachvollzogen werden.

  1. (01) Melanie Kalkowski
  2. (02) Udo Vetter
  3. (03) Thomas Weijers
  4. (07) Andreas Graaf
  5. (04) Jens Seipenbusch
  6. (10) Alexander Reintzsch
  7. (06) Markus Kompa
  8. (05) Christina Worm
  9. (08) Markus Barenhoff
  10. (11) Achim Müller
  11. (18) Thomas Küppers
  12. (12) Valentin Brückel
  13. (14) Isabelle Sandow
  14. (09) Andreas Rohde
  15. (17) Mike Nolte
  16. (13) Patrick Schiffer
  17. (16) Pascal Powroznik
  18. (19) Sven Sladek
  19. (15) Uwe Stein
  20. (20) René Röderstein
  21. (23) Stephanie Nöther
  22. (21) Tobias Stephan
  23. (27) Holger Hennig
  24. (24) Dr. Robert Arnold
  25. (22) Dieter McDevitt
  26. (25) Christopher Schrage
  27. (26) Christian Nissen
  28. (28) Marc Salgert

Proportional Approval Voting

Dies ist die vereinfachte Version von RRV, bei nur Ja=1 und Nein=0 verwertet werden.

  1. (01) Melanie Kalkowski
  2. (02) Udo Vetter
  3. (07) Andreas Graaf
  4. (03) Thomas Weijers
  5. (14) Isabelle Sandow
  6. (18) Thomas Küppers
  7. (04) Jens Seipenbusch
  8. (06) Markus Kompa
  9. (17) Mike Nolte
  10. (08) Markus Barenhoff
  11. (13) Patrick Schiffer
  12. (10) Alexander Reintzsch
  13. (21) Tobias Stephan
  14. (11) Achim Müller
  15. (05) Christina Worm
  16. (12) Valentin Brückel
  17. (15) Uwe Stein
  18. (16) Pascal Powroznik
  19. (09) Andreas Rohde
  20. (20) René Röderstein
  21. (19) Sven Sladek
  22. (22) Dieter McDevitt
  23. (24) Dr. Robert Arnold
  24. (27) Holger Hennig
  25. (25) Christopher Schrage
  26. (23) Stephanie Nöther
  27. (26) Christian Nissen
  28. (28) Marc Salgert

Meek STV

siehe auch Übertragbare Einzelstimmgebung (STV)

STV ist die Verhältniswahlversion von IRV. Die Meek Methode als STV-Variante erlaubt insbesondere Kandidaten den gleichen Rang zu vergeben und vermeidet einige Problem von einfacheren STV Methoden. Allerdings ist sie aufwendiger auszuwerten und benötigt einen Computer.

Dazu wurde hier nacheinander jeder Platz ermittelt, indem die Anzahl der Sitze nacheinander erhöht wurde. Die Kandidaten, die im approval nicht die einfache Mehrheit erreichten, wurden erst am Ende herausgefiltert, um die Ersatzstimmen angemessen zu verwerten.

  1. (01) Melanie Kalkowski
  2. (02) Udo Vetter
  3. (04) Jens Seipenbusch
  4. (03) Thomas Weijers
  5. (05) Christina Worm
  6. (10) Alexander Reintzsch
  7. (06) Markus Kompa
  8. (07) Andreas Graaf
  9. (09) Andreas Rohde
  10. *(08) Markus Barenhoff (Stichwahl)
  11. *(17) Mike Nolte
  12. **(11) Achim Müller (Stichwahl)
  13. **(12) Valentin Brückel
  14. (14) Isabelle Sandow
  15. (13) Patrick Schiffer
  16. (18) Thomas Küppers
  17. (19) Sven Sladek
  18. (16) Pascal Powroznik
  19. (15) Uwe Stein
  20. (20) René Röderstein
  21. (24) Dr. Robert Arnold
  22. (27) Holger Hennig
  23. (23) Stephanie Nöther
  24. (21) Tobias Stephan
  25. (22) Dieter McDevitt
  26. (26) Christian Nissen
  27. (25) Christopher Schrage
  28. (28) Marc Salgert

Schulze Proportional Ranking

siehe auch Schulze STV.

Dies ist ein von Markus Schulze, dem Erfinder der Schulze-Methode, entwickeltes Verhältniswahlverfahren auf Basis der Schulze-Methode, das speziell für die Aufstellung von Parteilisten gedacht ist. Es verhindert einige übliche Wahltaktiken, ist aber besonders rechenaufwendig. Leider ist keine Enthaltung möglich, so dass Kandidaten ohne Rang auf dem letzten Rang landen.

Hier wurde die Kandidaten mit Enhaltung vor denen mit 0 Punkten eingereiht. Die Kandidaten ohne einfache Mehrheit wurden aus der Liste eliminiert.

Das Verfahren kann ausschliesslich mit Computern ausgewertet werden und ist besonders kompliziert.

  1. (01) Melanie Kalkowski
  2. (02) Udo Vetter
  3. (04) Jens Seipenbusch
  4. (10) Alexander Reintzsch
  5. (03) Thomas Weijers
  6. (05) Christina Worm
  7. (06) Markus Kompa
  8. (07) Andreas Graaf
  9. (14) Isabelle Sandow
  10. (08) Markus Barenhoff
  11. (17) Mike Nolte
  12. (09) Andreas Rohde
  13. (12) Valentin Brückel
  14. (18) Thomas Küppers
  15. (11) Achim Müller
  16. (19) Sven Sladek
  17. (13) Patrick Schiffer
  18. (27) Holger Hennig
  19. (21) Tobias Stephan
  20. (24) Dr. Robert Arnold
  21. (23) Stephanie Nöther
  22. (16) Pascal Powroznik
  23. (15) Uwe Stein
  24. (20) René Röderstein
  25. (22) Dieter McDevitt
  26. (28) Marc Salgert
  27. (26) Christian Nissen
  28. (25) Christopher Schrage

Rohdaten

CSV-Format, 1.Zeile Kandidatennamen, leeres Feld=Enthaltung 

Hans-Immanuel Herbers,Melanie Kalkowski,René Röderstein,Tobias Stephan,Dieter McDevitt,Jens Seipenbusch,Markus Kompa,Christopher Schrage,Pia Hermans,Andreas Graaf,Dr. Robert Arnold,Markus Barenhoff,Alexander Reintzsch,Christina Worm,Patrick Schiffer,Christian Nissen,Felix Coeln,Manfred Schramm,Thomas Weijers,Udo Vetter,Pascal Powroznik,Achim Müller,Heike Wegner,Mike Nolte,Ali Kaya,Jens Stahlmann,Stefan Kottas,Thomas Küppers,Sven Sladek,Christoph,Daniel Horz,Uwe Stein,René Rottmann,Stephanie Nöther,Sabine Martiny,Marc Salgert,Andreas Rohde,Holger Hennig,Isabelle Sandow,Valentin Brückel,Inge Schmidt-Barthel,Fotios Amanatides
,,,,5,8,2,,,,,9,,,,9,7,,,,,,,,,,,2,6,,,,,,,,9,,1,,0,
4,9,7,4,4,8,8,4,0,9,2,9,2,9,7,3,2,1,3,7,7,6,6,9,1,2,7,9,3,6,,2,5,4,3,5,8,5,6,9,1,
8,0,9,0,5,9,9,0,0,8,5,8,0,0,0,0,9,0,0,9,0,5,0,0,0,0,5,5,0,0,,0,0,0,0,0,0,4,0,8,1,
1,9,0,1,1,2,0,1,0,9,1,3,8,9,6,2,4,0,6,7,3,0,3,0,2,0,5,0,6,0,,2,1,5,4,4,5,1,0,4,1,
6,6,0,4,4,6,8,5,7,7,7,8,8,5,3,4,5,7,7,7,7,9,5,0,6,7,4,4,7,6,,7,4,2,2,5,1,7,6,4,7,
0,7,2,9,1,1,0,2,0,1,0,3,1,6,1,1,1,1,6,3,2,4,1,0,0,0,0,4,1,1,0,2,1,3,1,1,3,1,0,2,0,0
9,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0
9,0,9,0,0,0,9,0,0,0,0,0,7,0,1,0,9,9,9,0,0,0,0,9,0,6,0,1,0,0,9,0,0,1,0,0,1,0,0,0,0,0
0,7,9,0,0,0,9,0,0,0,0,0,8,0,0,0,0,0,9,0,0,0,0,8,0,0,0,8,0,0,0,0,0,0,0,0,9,7,0,0,0,0
3,9,3,3,3,9,9,8,5,6,2,9,9,6,9,9,1,1,7,9,7,6,5,4,0,0,0,3,8,9,9,9,3,9,5,4,3,3,7,4,0,0
0,9,2,0,0,9,7,2,0,0,0,9,0,4,1,0,0,0,9,0,0,1,0,6,0,0,0,0,0,3,0,9,0,0,0,0,1,0,0,0,0,0
0,9,6,0,3,8,9,4,0,9,0,9,8,9,5,3,6,0,1,9,3,0,0,1,2,0,0,2,0,7,,2,0,7,7,8,3,4,8,9,0,
7,9,3,9,,7,,,5,9,5,5,9,3,,,4,3,4,9,5,9,9,7,,5,9,9,9,5,0,6,5,3,9,3,,4,,,7,0
3,8,0,0,0,5,5,0,3,0,0,7,7,,0,,0,0,4,6,0,0,4,3,0,0,0,1,6,,,,0,0,0,0,3,0,,0,0,0
0,1,1,1,1,8,9,1,1,0,1,9,9,1,1,1,1,1,1,1,6,8,0,0,1,1,5,0,0,1,1,1,1,8,1,1,1,6,6,1,1,0
3,3,0,2,2,2,0,3,0,2,0,2,2,2,2,1,0,0,2,2,2,3,3,3,5,0,0,3,9,1,,1,0,3,3,0,5,0,3,0,5,
0,3,0,0,5,0,7,3,2,2,7,1,0,3,7,1,1,6,9,4,7,0,7,0,3,1,1,0,8,6,7,2,2,0,5,0,3,6,5,8,0,0
9,0,0,1,0,9,9,1,1,1,1,0,1,1,1,1,0,1,1,9,9,0,0,9,0,1,1,1,9,9,,1,1,0,0,1,9,1,0,1,1,
9,9,9,5,5,5,9,9,5,5,5,7,9,5,9,5,5,9,5,9,9,5,0,5,5,9,5,5,5,5,5,9,5,5,0,7,5,7,9,5,5,0
9,9,7,9,9,9,9,2,4,9,2,9,9,9,9,3,5,9,7,9,9,8,6,4,0,0,0,4,9,0,,7,7,5,7,4,9,1,6,6,1,
0,0,0,9,0,0,0,0,0,0,0,0,0,,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,6,0,9,0,0,3,0,7,2,0,0,0,3,0,1,0,3,9,6,9,7,0,5,0,2,0,0,0,9,0,0,0,0,0,0,9,7,0,9,0,0
,,9,,,,,9,,,,,,,9,,,,9,,,9,,9,,,,,,,,,,,,9,,,,9,,
1,0,9,1,0,9,1,9,0,0,9,9,0,0,0,0,8,1,8,0,0,8,0,9,0,0,1,0,8,9,,9,1,0,0,1,0,0,1,1,6,
0,5,1,0,1,9,3,5,1,1,2,2,0,9,6,4,1,1,9,9,3,9,1,1,1,1,1,1,1,1,1,5,1,1,1,1,5,0,1,6,1,0
1,8,1,1,1,2,1,7,3,6,2,4,2,2,6,1,2,1,2,9,2,2,3,4,2,3,2,2,3,2,,2,3,4,2,3,2,2,2,2,3,
0,9,9,0,0,0,0,6,0,0,0,0,0,6,7,0,9,0,9,0,0,7,3,9,0,0,0,9,0,6,0,9,0,0,0,0,0,5,0,9,0,0
0,7,0,5,3,3,9,3,0,0,8,6,0,7,3,2,0,3,4,3,6,2,0,8,7,2,,7,9,0,0,2,1,0,6,0,9,1,0,3,7,
7,4,0,0,0,4,6,0,0,2,0,6,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,9,0,0,0,9
0,0,0,0,0,9,0,0,0,0,0,0,0,0,9,0,0,0,0,9,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,1,1,1,0,0,1,1,9,1,0,9,0,1,1,1,1,9,0,1,9,1,1,1,1,1,1,0,1,1,1,9,1,1,1,1,1,9,0,1,1
0,7,5,5,1,9,9,4,0,7,0,7,9,6,3,5,0,0,5,9,2,6,3,6,0,0,0,8,6,2,0,6,0,6,4,6,5,3,7,4,0,6
1,9,4,4,7,9,7,7,3,6,3,9,0,9,3,3,0,3,7,2,9,3,7,9,2,2,2,9,0,2,0,2,2,0,2,7,2,7,2,9,2,0
4,9,2,6,2,0,7,2,6,6,2,5,5,9,3,3,7,2,2,7,4,6,5,0,2,2,2,2,6,5,0,6,3,5,6,3,3,1,6,7,3,0
0,0,0,1,0,0,9,2,0,2,,,0,0,0,9,0,1,1,9,2,0,0,0,0,0,0,0,2,0,0,0,9,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,0,3,9,,,0,0,0,5,0,0,0,0,,9,9
0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,,0,0,0,0,0,0,8,0,7,0,
0,9,0,5,2,9,6,3,1,1,2,2,2,1,9,1,1,,8,9,1,5,1,1,0,1,1,6,0,0,0,7,0,8,1,1,0,0,6,1,0,0
0,6,0,0,6,8,6,8,0,9,3,0,0,9,6,8,0,0,,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,6,0,0
3,1,0,0,0,9,2,1,0,1,1,9,0,0,1,0,0,0,1,1,1,2,2,0,1,1,1,1,4,1,0,2,0,1,1,0,1,0,4,9,1,9
5,9,2,2,1,9,4,4,4,4,6,1,1,3,1,4,1,4,9,5,1,5,1,1,1,4,1,4,1,1,1,1,3,3,1,1,1,1,1,1,4,1
0,9,0,7,1,9,0,0,9,2,5,8,2,1,0,0,0,0,1,0,1,0,0,7,1,1,1,9,9,0,0,8,0,0,0,0,1,0,7,0,2,
,9,0,0,0,0,9,0,9,9,0,9,0,9,0,0,0,0,0,0,9,9,9,9,0,9,0,0,9,0,0,0,0,9,9,9,9,0,9,0,9,0
0,8,0,0,0,9,8,1,0,0,0,8,9,0,0,3,0,0,7,8,7,0,0,0,7,0,0,2,0,0,,0,0,0,0,2,6,0,3,3,0,0
0,9,8,5,2,8,8,5,8,9,2,9,0,8,4,5,0,5,5,9,7,7,8,9,9,7,7,7,2,3,,9,6,7,2,4,8,2,9,9,2,
0,5,0,0,1,8,1,0,0,3,5,5,0,9,8,4,0,0,7,8,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0
9,1,9,0,0,9,9,0,0,9,7,0,9,0,9,9,0,0,9,0,0,9,0,0,0,0,7,0,9,0,0,0,0,0,0,0,9,0,9,9,0,0
0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,4,0,0,9,1,3,1,9,9,0,3,9,9,7,3,0,8,9,4,0,0,8,2,0,1,0,0,0,,5,4,6,8,9,7,0,1,9,0,
0,0,0,0,0,9,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,7,3,5,5,3,5,9,9,7,5,5,9,7,8,0,4,0,0,0,4,5,1,0,0,9,1,1,0,0,,8,9,0,1,0,9,0,0,0,0,
0,9,0,0,0,9,0,0,0,0,,5,0,9,0,0,0,0,9,9,0,5,0,2,0,0,0,5,0,0,0,0,0,0,3,0,0,0,5,0,0,0
0,3,0,0,0,2,0,0,3,6,0,0,7,0,0,0,6,0,9,0,9,0,0,7,0,0,0,5,6,5,,0,0,5,0,8,0,0,3,8,0,
0,3,0,0,1,4,2,5,1,8,0,9,0,0,9,1,0,0,0,3,9,0,0,6,9,0,1,3,0,9,0,1,0,0,0,1,2,6,1,9,0,0
0,5,9,0,5,0,9,1,1,1,1,5,5,1,1,1,9,1,5,9,9,1,0,0,0,1,0,1,1,0,0,1,1,9,5,1,9,1,9,9,0,0
0,9,9,0,0,9,,,,9,9,9,,9,,,,,9,9,9,,9,0,9,,,9,9,0,,9,,9,0,,,9,9,9,,
0,9,,0,0,9,0,,5,1,3,9,9,1,5,0,1,0,5,0,5,0,0,3,0,1,0,0,1,0,0,0,0,,0,0,9,0,0,,0,0
1,8,0,8,6,3,9,6,0,6,1,1,0,9,3,0,0,1,9,9,9,9,0,0,0,0,0,9,1,0,1,2,0,1,3,0,6,1,0,6,0,0
3,3,0,9,0,0,9,3,3,5,5,5,5,8,0,0,0,0,0,8,8,0,0,9,9,0,0,9,9,2,0,0,0,5,8,0,0,0,5,0,9,0
,4,,8,,9,9,,0,1,,6,1,8,7,,,,0,8,0,9,0,,,,,,,,,,,,,,,,9,,,
0,9,0,5,0,2,4,1,0,9,1,6,0,9,5,2,0,1,9,4,2,0,0,3,0,0,0,1,3,2,,6,0,3,0,2,7,2,2,1,1,
0,9,0,0,0,7,1,0,5,9,0,8,0,9,7,7,0,0,8,5,,2,0,0,0,0,0,0,1,0,,8,3,1,0,0,8,0,0,7,0,
0,9,3,9,2,9,8,0,9,5,0,9,9,5,1,3,1,0,8,5,9,6,6,9,0,9,1,3,7,9,0,0,5,9,6,2,9,9,9,1,1,9
6,9,5,4,6,8,7,5,5,8,3,7,8,7,5,5,5,5,7,8,7,9,6,5,5,5,5,6,5,5,5,5,5,6,7,5,8,4,9,6,5,5
6,9,4,8,4,6,3,0,0,3,9,1,0,8,4,5,0,0,9,9,8,8,1,5,2,0,1,3,3,5,,7,6,5,2,4,9,4,7,8,0,
5,9,0,,1,6,6,7,0,5,1,7,1,7,9,1,1,5,9,9,7,9,0,7,0,0,0,1,1,1,,5,0,1,1,1,7,3,3,5,0,
1,9,5,8,8,8,8,5,2,8,8,7,0,7,8,5,7,2,7,8,1,7,7,8,7,4,2,8,3,1,,7,1,1,7,2,8,1,4,7,5,
0,7,4,0,4,9,9,2,2,7,2,9,9,9,9,2,3,3,9,9,5,6,0,0,2,2,2,3,4,3,,3,3,9,6,4,0,4,2,4,3,
0,9,5,3,5,7,5,6,7,7,8,4,1,9,8,5,7,5,7,9,7,8,8,7,,6,0,8,4,8,,5,4,9,7,7,8,9,9,9,7,0
0,5,,6,,5,,0,,7,,7,6,4,,,,0,,9,4,9,7,,,0,,0,0,,,7,,0,,,5,0,0,6,0,
0,9,6,,7,7,7,4,6,5,6,6,7,3,6,4,2,4,5,9,6,7,2,7,2,5,4,5,0,3,6,6,4,4,2,6,6,5,6,7,0,0
0,9,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,9,7,0,9,0,7,1,0,0,0,0,0,,7,0,0,0,9,7,9,9,0,0,
0,7,3,1,5,7,8,6,0,6,3,5,1,8,9,5,0,0,9,7,2,6,4,0,3,0,0,7,5,6,9,5,0,5,2,6,8,5,8,5,0,9
0,9,3,2,5,7,1,1,0,5,0,8,6,0,3,1,0,0,0,9,7,8,1,0,0,2,0,5,6,4,9,3,1,0,0,0,7,1,3,2,0,0
0,9,2,0,2,0,0,0,0,4,9,0,4,0,0,0,0,0,9,9,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4
0,9,5,0,0,4,1,7,0,4,4,6,0,8,0,0,0,0,8,2,7,0,3,7,0,0,1,7,1,0,0,1,0,1,1,0,0,7,0,6,0,1
4,8,6,3,9,9,8,7,9,9,,1,1,9,9,9,1,8,9,9,0,9,4,0,4,1,,1,9,4,0,5,1,1,6,6,8,7,9,9,1,0
,,,,,9,9,,,,8,,9,,,,,,,9,,,,5,,,,,0,,0,,,,0,,,,,,5,
1,7,4,9,8,3,2,3,2,9,6,6,6,9,9,5,3,3,9,8,8,6,3,9,3,3,2,9,7,0,0,7,3,7,7,3,3,5,0,3,0,
0,9,0,3,0,0,0,1,1,7,0,0,4,6,5,0,0,0,0,8,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,,5,7,5,8,6,5,,,,6,5,,,,,,,3,,,,9,0,,,,3,9,0,,,0,,,5,9,8,,,9
0,9,0,0,3,6,2,0,0,2,0,2,9,9,2,9,0,0,9,1,7,0,0,0,0,0,2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,9,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,6,6,5,5,1,4,3,2,3,0,6,0,5,5,3,2,2,3,8,9,3,5,9,3,2,2,1,8,0,0,3,6,5,6,4,3,4,7,9,5,0
0,9,9,0,0,0,0,0,0,0,9,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,1,3,0,0,0
2,9,9,5,5,9,9,5,9,9,2,9,9,9,5,5,9,5,5,9,9,0,9,0,5,2,5,9,5,9,5,9,0,9,0,5,5,9,9,9,0,0
0,9,9,0,0,9,9,0,0,9,0,9,0,9,9,0,9,0,9,9,9,0,0,0,0,9,0,0,0,0,,9,0,0,9,0,9,0,9,9,0,
0,9,5,3,0,7,8,0,0,9,0,8,9,2,3,0,0,0,8,0,5,8,3,8,0,0,0,0,1,9,,2,1,0,9,0,9,0,9,0,,
0,4,9,,4,9,,,0,4,4,4,4,4,,4,0,,,0,0,,,0,,,,,9,,,,,4,0,,,,,,0,
5,9,,,6,7,9,0,3,2,,9,3,6,0,3,8,0,5,8,9,7,9,4,2,2,1,3,7,7,,7,9,6,8,4,3,4,7,3,5,
0,9,5,1,,8,8,1,3,8,1,9,9,9,,,0,,9,9,5,5,8,8,,1,,0,8,1,,7,7,7,0,,7,5,5,7,5,
1,,1,1,1,1,1,9,0,1,1,1,0,1,1,1,1,1,1,9,1,2,1,3,1,0,1,1,1,1,1,9,1,1,1,1,1,1,1,1,1,
0,5,1,3,3,6,1,3,3,8,,3,9,3,3,2,1,1,4,0,0,4,2,2,2,1,0,0,9,3,,2,1,2,3,1,1,0,6,1,1,
9,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,5,2,0,0,0,0,,0,,2,0,9,,0,1,0,0,0,0,0,1,0,9
0,9,0,0,0,9,1,9,1,0,0,0,0,1,0,0,0,0,0,9,5,9,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0
0,5,0,0,0,9,5,0,5,5,0,5,9,9,1,5,0,0,2,9,0,0,0,1,0,0,0,1,1,0,0,0,0,5,4,0,3,0,0,2,1,0
0,0,0,0,1,0,2,0,0,0,0,3,0,0,4,0,0,9,3,1,0,2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,5,0,0,0,0,0
0,0,0,2,0,0,0,0,0,0,2,5,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,5,0,0,0,0,5,0,0,0,0,2,0,0,0
0,9,0,0,0,9,0,0,0,0,0,9,0,0,0,0,0,0,9,0,0,9,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0
6,7,7,5,5,7,7,6,3,9,3,6,7,8,7,3,7,0,6,9,4,5,6,7,0,0,0,5,7,4,,7,5,6,6,5,7,6,7,9,5,
1,9,3,6,2,8,9,2,3,4,2,9,9,9,9,7,0,0,9,9,7,7,1,1,0,0,0,5,6,6,,6,3,6,4,0,7,1,7,9,0,
3,1,5,2,3,9,2,1,0,1,6,1,9,9,9,6,5,3,9,9,2,4,3,3,0,0,0,1,1,0,0,0,1,1,6,1,5,0,0,9,0,0
0,9,1,1,9,0,1,1,1,1,2,0,2,,,,,,,,,,,,,,,,,,,,,,,,,,,,0,0
,5,,,,,5,,,9,,8,7,,,,7,,,5,,,,,,,,,,,,,,,,,,,,,,
0,8,5,7,9,0,8,0,6,9,0,0,8,7,3,4,0,0,0,0,4,1,0,0,0,0,0,9,9,0,0,9,0,0,0,0,7,2,0,7,0,0
0,0,0,0,1,1,1,0,0,0,0,4,0,0,7,0,0,9,9,6,0,0,0,1,0,0,0,3,1,1,0,1,0,0,0,0,7,0,1,0,0,0
1,9,9,3,3,4,2,1,0,9,1,9,1,4,5,1,9,0,5,7,9,3,1,0,1,1,0,0,3,5,,0,4,3,1,7,5,1,5,9,0,
0,,,5,,5,9,,,9,,9,9,9,,,,,,9,,,,5,1,,,5,5,0,,,,1,5,,,,,,,0
0,9,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,7,3,5,0,2,6,1,0,8,0,0,0,4,6,2,0,0,2,9,0,7,0,0,0,0,0,0,0,0,,6,0,0,0,0,7,0,0,8,0,
0,6,8,0,1,1,0,0,0,3,2,5,9,2,2,0,0,0,8,2,1,0,0,7,0,0,0,6,0,0,0,8,0,0,0,9,0,3,4,0,0,0
0,0,1,1,5,0,0,0,0,9,9,1,0,9,9,0,5,5,1,9,0,1,1,1,0,1,0,0,0,0,,5,0,0,5,1,0,0,9,9,0,
0,9,1,1,1,1,1,1,5,5,1,3,1,9,5,1,0,3,1,1,1,5,9,5,1,0,1,1,1,9,1,1,1,1,1,1,5,1,5,1,0,1
0,0,0,0,9,0,9,0,0,9,0,0,5,0,0,9,0,0,9,9,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0
,,0,0,0,0,0,0,0,0,,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,9,1,1,0,0,3,1,0,9,0,9,5,9,9,0,0,3,5,7,1,7,0,5,0,1,0,9,9,1,,1,1,1,6,0,9,0,9,0,0,0
2,2,7,2,2,2,9,2,2,7,2,7,0,2,2,2,2,2,2,7,2,2,9,2,2,2,5,2,9,2,,2,2,2,2,2,2,2,2,7,2,
4,7,0,5,2,9,6,7,1,0,0,0,0,6,2,1,0,0,6,7,1,8,1,8,3,2,1,7,2,1,0,7,0,4,2,0,6,3,2,9,2,9
0,0,5,0,2,3,4,0,0,7,0,6,0,9,7,8,0,0,8,0,4,1,0,8,0,0,0,3,5,7,9,5,0,0,5,5,7,0,0,8,0,9
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,5,9,5,3,9,9,9,9,2,0,0,7,4,3,5,6,9,9,9,9,6,9,4,9,0,4,0,4,0,9,5,6,9,6,9,9,9,0,9,0
0,9,9,1,1,0,3,4,1,0,0,4,0,7,1,1,1,0,1,3,1,0,1,0,0,1,8,9,0,9,,1,5,0,1,1,1,1,9,9,0,0
0,,9,0,0,0,0,0,0,4,4,9,0,9,3,0,0,0,0,0,0,9,9,0,0,0,3,9,9,9,,5,0,3,3,0,9,0,,0,0,0
0,7,5,3,1,1,0,0,1,1,0,1,5,0,0,0,0,0,5,7,5,7,1,3,0,1,0,5,0,0,,5,0,0,0,0,7,0,5,0,1,
0,9,4,0,9,2,1,0,1,9,0,0,,9,0,9,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,
0,9,0,4,9,4,0,0,0,0,0,0,9,0,0,0,0,0,9,9,0,0,9,9,0,0,0,0,2,0,0,0,0,2,0,0,9,0,0,0,0,9
0,9,4,2,0,1,1,0,0,9,9,0,0,0,9,0,0,0,1,1,1,9,1,1,1,0,0,1,0,0,,9,0,0,4,0,5,5,0,0,0,
,,,,,5,,,,9,,,5,,,,,6,,2,,3,0,2,1,0,0,1,2,1,0,4,,0,0,,9,6,,2,,5
2,8,1,7,4,7,8,2,0,7,3,7,4,5,3,1,4,2,7,7,2,4,0,7,3,1,1,5,6,8,,2,1,7,6,6,2,1,9,3,0,
0,4,0,1,0,2,8,0,0,2,2,1,9,1,4,2,4,1,5,7,6,9,0,9,0,2,1,6,0,0,0,9,0,0,6,0,6,0,0,3,0,0
9,9,1,0,5,3,1,0,1,0,1,0,5,9,7,9,0,1,9,9,3,0,0,0,0,1,2,0,1,0,9,0,1,0,0,1,5,0,0,9,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,5,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,3,1,9,3,1,9,0,0,1,5,7,5,0,1,1,5,2,0,9,1,3,0,1,5,1,1,1,,3,9,0,0,2,7,3,0,1,0,
0,9,1,0,1,0,2,1,1,7,1,7,1,1,1,3,1,3,1,8,1,3,0,1,1,1,3,0,1,0,0,3,3,3,1,3,9,1,8,1,5,0
3,6,3,0,8,9,8,1,0,5,7,1,6,0,8,4,0,0,5,8,4,1,0,6,0,6,5,4,,0,0,7,1,0,0,5,5,2,0,6,4,0
1,9,1,5,1,1,3,1,1,1,1,5,1,9,1,1,1,1,9,1,5,1,1,1,1,1,1,5,1,1,1,2,1,5,1,1,1,1,1,1,1,
2,7,,5,2,7,7,3,3,7,4,5,2,3,7,2,1,7,8,7,5,6,2,4,2,1,4,8,5,2,2,5,1,3,1,1,9,3,2,6,0,7
0,9,7,8,3,8,7,3,3,7,6,6,0,8,6,0,0,0,8,9,7,7,0,9,0,0,0,3,0,0,0,6,0,7,0,7,3,0,3,6,0,0
0,1,0,0,3,8,8,0,0,8,0,7,9,5,7,0,0,0,3,9,3,8,0,0,0,0,0,0,6,0,9,0,0,0,0,0,7,0,0,5,0,0
0,9,0,0,9,0,9,0,3,0,0,0,9,0,0,0,0,0,9,9,0,0,0,9,0,0,0,9,0,0,9,9,0,0,0,0,0,0,0,0,0,9
4,9,1,7,2,9,8,0,1,5,6,1,8,9,1,2,1,5,8,9,6,9,0,5,1,1,0,2,3,2,0,1,9,5,1,4,8,0,9,7,1,0
1,9,1,,,5,,9,0,1,1,,0,1,9,,,,3,9,,9,2,8,1,,,2,,2,0,9,,0,5,,1,0,5,9,1,
0,9,0,0,0,9,5,0,0,0,9,0,0,9,9,0,0,0,9,9,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,9
0,9,0,0,0,9,1,5,3,1,1,0,0,9,5,0,0,0,9,9,0,9,0,1,1,0,0,0,0,0,0,0,0,0,0,0,6,0,1,5,0,3
6,8,6,2,4,9,8,8,7,8,1,8,9,7,7,4,8,0,6,9,7,6,4,9,6,3,0,8,6,2,,3,6,4,3,,5,,7,6,5,
0,9,4,6,3,7,8,6,8,6,6,9,0,9,4,4,0,0,9,9,5,8,0,6,0,0,4,7,0,0,,5,9,1,5,3,8,7,7,9,0,
0,7,1,3,1,1,1,3,1,1,9,,,1,2,,,1,1,6,,0,0,0,4,,0,1,0,0,2,1,,1,1,9,0,0,0,6,0,0
1,9,5,2,0,0,9,0,0,0,2,9,0,9,1,4,0,0,5,9,0,6,0,7,0,0,0,0,0,0,0,9,0,9,0,0,1,0,9,6,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,5,1,0,0,9,5,0,0,9,9,9,2,0,9,0,5,0,0,1,1,0,0,9,0,0,0,9,0,0,0,9,2,0,0,9,2,5,2,2,0,0
0,9,0,7,3,9,3,8,0,8,0,5,0,9,8,3,0,0,8,3,0,9,0,3,0,0,0,8,3,0,0,3,0,7,3,0,7,3,3,0,0,0
0,9,0,0,4,0,4,0,0,5,0,3,8,9,9,5,0,0,4,0,3,1,0,0,0,0,0,0,9,2,0,0,0,1,1,3,0,1,6,0,0,0
0,9,1,1,9,0,1,0,4,1,1,0,0,0,1,6,1,1,8,3,0,0,1,1,0,0,2,0,0,0,0,1,7,0,1,,1,3,0,1,1,0
0,9,9,3,9,9,2,9,2,9,,9,9,,9,,9,,9,9,9,,5,0,2,,,9,9,9,0,,,9,,,9,5,9,9,,0
0,7,3,0,3,3,0,3,0,3,0,5,9,5,9,0,9,0,9,0,9,0,9,3,0,0,0,9,5,9,,0,0,9,0,3,0,3,7,9,0,
6,5,5,3,4,7,8,5,1,5,4,7,3,2,3,2,4,3,5,6,7,6,3,2,3,2,0,4,4,7,4,4,3,5,5,7,8,1,9,6,0,2
1,4,0,4,1,0,0,1,0,5,9,0,1,9,9,0,0,0,0,4,1,5,1,5,1,0,0,0,1,0,,5,0,0,1,0,2,0,3,9,0,
3,9,4,6,6,8,9,5,4,8,7,7,7,7,6,5,2,3,6,9,3,4,4,0,3,1,1,5,0,1,,4,3,0,0,4,5,1,4,8,0,
0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,9,0,0,0,0,0,0,0,0,9,0,0,1,0,0,0,0,0,9,0,0,0,9,0,0,0
0,0,0,0,5,0,0,0,0,1,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8,0,0,0
0,3,5,0,0,0,5,4,0,0,3,6,0,0,7,7,3,0,5,9,3,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,2,0,4,4,2,0
0,9,2,5,9,8,7,1,0,3,5,4,8,8,8,7,3,2,4,8,2,7,0,0,1,2,4,3,2,1,0,9,2,0,1,1,9,2,6,7,0,0
0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,9,9,0,0,0,9,1,9,0
1,9,9,9,4,0,4,0,4,4,4,4,0,4,4,4,9,0,4,9,5,5,5,0,0,0,5,9,0,0,,5,5,5,5,5,5,5,9,9,5,
0,0,0,0,,5,5,0,0,1,0,0,4,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0
0,7,2,4,3,9,6,3,5,7,0,3,9,2,6,0,0,1,5,9,0,9,0,0,0,0,3,0,0,0,,5,2,7,2,0,8,4,7,1,0,
0,8,1,7,1,7,6,4,0,7,1,3,1,7,5,0,0,0,9,8,1,7,1,5,1,0,0,5,4,1,9,4,0,0,0,0,6,0,1,1,0,9
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,3,0,0,0,2,0,0,0,0,1,0,0,0,0,9,0,0,0,0,1,0,0,0
0,9,1,3,0,0,4,3,0,8,0,7,9,9,6,2,9,4,4,9,9,0,0,0,4,3,9,6,3,3,,5,0,7,0,0,0,0,4,9,0,
0,8,0,0,0,4,2,1,0,7,0,4,6,7,2,2,0,0,6,6,3,0,0,0,0,0,0,0,2,0,,2,0,1,0,0,1,0,2,5,0,
5,5,5,2,9,5,5,5,2,2,5,2,5,9,0,0,5,0,6,6,5,6,0,5,0,2,0,2,5,0,,2,5,9,5,5,5,5,1,2,0,2
0,7,7,5,8,8,8,5,9,8,5,6,8,8,8,0,8,4,0,8,0,0,0,0,0,7,0,0,0,0,0,8,8,0,0,0,8,0,0,0,0,0
1,8,,2,1,6,7,3,4,7,7,3,2,6,5,1,5,4,8,9,9,2,4,6,5,4,1,2,4,3,,1,1,4,2,3,3,2,4,7,2,
0,9,0,9,0,0,0,0,5,0,0,0,9,0,9,0,0,0,9,9,9,4,0,0,4,0,0,9,0,0,0,0,0,0,0,0,9,0,0,0,0,0
9,9,1,0,9,1,2,0,0,0,0,9,,6,2,2,2,5,9,9,0,0,0,3,1,2,0,9,3,2,2,4,0,0,9,1,0,0,2,9,3,0
1,9,3,3,2,6,4,4,2,0,0,8,1,5,9,3,2,3,6,9,6,7,5,5,0,1,2,6,0,9,8,8,3,0,5,3,6,9,7,9,0,8
0,9,0,1,2,1,2,3,0,8,3,5,0,9,2,1,0,0,9,8,2,0,0,2,0,0,0,1,2,0,,3,0,0,0,0,8,3,0,6,0,
0,0,1,5,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,9,0,0,0,1,1,0,0,0,0,0,0,0,0,0
3,4,3,1,0,9,6,1,0,8,2,7,6,3,1,4,2,0,6,9,2,6,0,9,0,0,0,2,7,0,0,8,2,0,0,1,1,2,0,9,0,8
0,0,0,9,0,0,0,0,0,0,9,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,9,1,0,0,9,0,0,0,0,0,0,0,0,0,0
0,9,0,0,0,6,8,6,0,0,9,0,2,1,0,1,9,0,0,9,8,7,0,0,0,0,0,0,1,2,,6,0,0,0,9,5,0,6,8,0,
,9,3,,,4,,7,,9,,6,,6,4,2,2,,9,7,8,,,,,,,4,,,,,,,0,,,,,,,
7,4,4,7,3,2,2,3,9,4,0,4,6,5,4,3,1,4,6,4,5,4,1,0,2,9,2,7,4,2,,4,3,0,0,1,5,1,7,3,1,
0,9,0,0,0,9,7,3,0,0,0,5,0,5,0,0,0,0,3,9,0,9,0,9,0,0,0,6,0,0,0,7,4,0,0,9,7,0,4,0,0,9
,,,,,,,,,,,,,,,,,,,,,,,,,,,9,,,,,,,,,,,,,,
0,6,0,9,0,0,0,0,1,7,1,1,7,7,8,3,0,1,1,0,3,9,0,7,0,1,3,3,3,2,,5,0,0,2,3,3,9,5,7,0,
0,9,1,2,1,1,1,0,0,0,0,1,0,9,2,2,1,1,2,1,2,9,1,1,1,0,0,0,0,9,,1,0,9,1,0,2,1,9,2,0,
0,2,0,0,6,7,0,0,0,8,5,0,8,0,0,9,0,0,0,9,0,0,0,3,0,0,0,3,0,0,3,0,0,0,0,1,0,0,0,6,0,0
9,0,8,9,9,9,9,0,0,9,0,4,0,0,0,0,9,0,9,9,0,8,0,0,0,0,9,0,0,7,0,0,0,0,9,6,4,6,9,8,0,0
0,7,1,3,9,3,8,1,0,8,8,5,5,9,8,9,1,1,9,9,4,0,0,0,2,1,1,0,0,0,,9,1,5,1,3,1,0,3,7,0,
0,9,0,1,1,9,1,1,1,1,1,1,9,9,9,1,9,1,9,0,9,1,1,1,0,1,1,1,0,1,,1,5,1,1,1,1,1,1,1,1,
6,9,4,6,5,7,8,6,3,6,6,5,7,7,7,2,2,1,4,8,4,6,6,4,4,3,2,2,7,8,,3,4,7,2,3,6,2,7,9,3,
0,5,1,3,1,3,1,1,0,3,1,5,0,0,3,1,1,0,4,3,1,1,1,0,0,0,0,1,0,1,,1,1,0,1,1,3,0,1,9,0,
1,9,2,5,2,8,9,8,6,9,3,9,9,9,9,2,7,7,9,9,9,2,5,7,0,9,1,9,0,5,,2,2,2,7,2,9,5,5,9,0,
0,9,0,0,0,5,9,0,9,0,0,9,9,0,0,0,9,0,5,9,9,0,9,5,0,0,0,0,5,9,5,0,0,0,0,5,9,0,9,9,0,0
4,9,0,0,2,7,8,9,0,9,4,4,2,9,7,3,0,0,8,9,3,5,2,0,0,0,0,0,0,0,,4,0,0,0,5,7,0,0,0,0,
0,9,0,0,0,0,9,9,,5,0,5,0,,9,5,0,,1,9,1,0,0,0,5,,,1,0,0,0,,,1,1,,1,0,0,1,0,0
,9,,4,,9,1,0,0,0,0,9,5,9,6,5,3,9,9,9,5,5,5,9,0,5,1,1,4,0,0,5,5,0,7,5,9,0,0,2,4,
9,5,0,0,0,0,0,0,0,9,0,0,9,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,9,0,0,0,0,9,0,0,0,9,9,0,9,0
1,7,7,7,1,7,7,2,2,1,1,1,1,1,1,1,1,1,,3,1,1,4,4,1,1,1,1,,1,1,1,1,1,1,1,1,1,3,3,5,1
0,8,2,,8,9,9,1,0,8,1,9,8,8,1,9,1,1,1,9,9,3,2,0,1,1,1,2,9,5,9,8,9,0,0,4,9,2,8,9,0,0
0,9,5,1,1,1,9,6,9,0,0,0,0,0,0,0,0,0,0,6,0,2,0,1,3,2,0,9,1,0,9,1,1,0,1,0,4,0,6,1,0,0
0,9,0,9,1,0,2,4,0,8,0,4,0,9,4,1,0,0,4,9,9,4,0,9,0,0,0,0,0,0,,0,0,0,1,0,0,9,2,9,0,
0,3,2,1,2,0,5,0,0,0,0,2,4,2,0,1,0,0,1,0,0,0,,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,,0,0
7,3,0,9,2,5,8,1,1,1,2,6,2,3,2,1,0,9,6,3,5,6,3,9,1,0,5,3,3,5,5,2,0,0,3,2,9,0,6,1,0,3
0,6,,6,6,0,9,,,6,,9,6,,9,8,,,6,9,9,9,0,0,,,,6,9,0,9,8,,,2,7,8,,6,9,,
,0,,2,2,9,1,0,0,3,,2,9,1,,,1,1,3,,,4,0,3,2,,0,0,5,1,0,0,0,7,0,0,0,1,1,0,1,0
7,9,8,8,5,8,6,7,8,4,8,4,6,3,1,4,5,4,9,9,7,6,6,8,5,8,4,9,4,1,,4,8,8,4,4,4,7,6,5,8,
,7,9,0,2,1,0,7,0,5,9,9,6,9,0,0,9,2,8,9,2,0,7,0,9,0,0,8,2,4,0,0,0,8,0,5,0,0,7,0,0,0
,6,,8,7,,,,7,,,8,8,,9,,,8,7,7,,,,,,,,7,6,8,,,,,,,,7,9,,8,
9,1,9,2,2,5,2,4,4,1,5,1,0,3,2,1,9,1,1,1,1,9,1,0,1,9,9,4,0,0,0,1,1,1,1,2,1,0,1,2,7,0
0,0,9,0,0,0,0,7,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,5,0,0,9,0,0,0,0,0,0,0,0,0
0,9,0,2,1,5,5,0,0,9,1,4,9,9,9,0,1,1,8,7,6,7,0,1,1,0,0,0,5,0,0,5,1,7,1,7,6,1,0,8,0,0
3,3,3,3,9,9,8,3,3,3,3,3,1,3,3,9,3,3,3,9,3,3,3,3,3,3,3,3,6,3,3,3,3,3,1,3,9,3,3,3,3,3
0,0,9,0,0,0,0,0,3,0,0,0,0,0,0,0,,2,2,9,0,1,0,0,0,0,0,0,2,0,0,0,9,0,0,0,0,0,0,0,0,0
7,5,3,7,7,0,9,7,9,9,0,6,9,5,8,4,5,3,7,6,4,7,7,3,0,9,0,0,0,0,,6,3,0,0,0,9,0,5,7,6,
,9,0,3,1,9,8,3,7,0,,8,,9,1,0,0,0,2,8,,0,6,,1,0,,0,0,9,,6,1,7,0,1,8,,9,1,9,
0,9,5,9,9,0,9,3,9,9,0,9,9,9,9,0,9,5,0,9,0,0,0,0,0,9,0,0,5,0,0,9,9,0,0,0,9,0,0,0,0,0
,9,,9,,6,0,,,9,,9,9,,6,,3,6,3,6,,,9,0,6,0,,0,6,0,,9,3,3,9,0,6,6,3,6,3,
0,9,1,7,3,8,6,6,1,9,5,7,9,8,7,4,1,1,8,9,7,7,2,9,0,1,0,1,9,1,9,5,1,4,0,1,9,3,1,7,0,0
0,9,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,5,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0
,,,,,,,,,,,1,,,,,,,,,,,0,,,,,,,,,,,,,,,,,2,,
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,9,0
0,9,0,0,9,9,5,0,1,7,0,0,6,9,8,0,0,0,9,9,0,0,0,3,4,0,0,0,0,0,0,0,0,4,0,0,9,0,0,0,0,4
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,,8,,,,,,,,,,,,,,9,,,,,,,7,,,,,,,,,,,,,,,,,6,
0,9,0,4,2,9,9,0,0,3,2,7,7,0,3,4,0,0,9,9,8,0,0,0,0,0,0,4,0,0,0,2,0,0,0,6,0,0,7,5,0,0
0,5,0,5,0,6,9,0,4,7,3,9,9,0,9,0,7,0,0,9,5,3,0,9,0,0,0,0,0,9,0,2,4,9,0,4,4,0,9,9,0,0
0,0,0,0,0,5,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,5,7,2,5,5,4,4,5,4,4,7,9,6,5,4,6,7,7,6,0,1,5,4,3,3,2,7,5,0,4,5,6,5,7,5,9,4,5,1,0
0,0,,4,,,,,,,,,,,,,,,0,,,,4,0,,4,4,9,9,0,0,,,,0,,,0,9,,,
,9,,,6,5,,,,,,8,,,,,3,,,,,,,,,,,,,,,,,,,,,,,,,
3,6,4,1,1,9,6,5,4,5,7,7,5,9,9,3,1,2,7,9,6,4,1,1,1,4,3,2,2,1,,5,4,1,8,5,7,1,1,3,1,0
2,,,,8,3,3,,,,,,2,,2,8,0,,,9,,,,9,0,,,,7,,,,,,9,,9,,,,0,0
0,9,9,,9,9,4,,0,9,9,9,2,0,0,6,2,0,0,2,2,8,2,0,0,0,0,7,7,0,0,0,0,4,4,0,4,0,0,0,0,
0,8,5,4,5,9,9,5,6,7,7,8,3,5,7,5,8,5,8,9,5,7,4,9,5,4,4,7,4,7,,9,8,7,6,4,4,5,7,8,5,
0,9,0,0,0,0,0,0,0,9,0,0,0,9,0,0,0,0,9,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,4,3,3,5,4,9,2,9,5,9,3,7,9,4,4,4,7,1,4,4,6,9,2,4,4,4,6,3,,9,3,9,4,4,4,4,7,4,1,
1,9,1,2,1,9,4,2,0,9,3,7,0,9,5,1,0,0,9,6,2,4,0,9,2,0,2,4,6,0,,7,1,1,1,3,0,0,0,9,0,
1,0,0,0,0,1,0,0,0,0,5,0,0,0,1,0,0,0,0,9,0,9,9,1,0,0,0,1,0,0,,9,9,0,1,1,0,4,0,0,1,
0,9,9,9,9,9,9,0,9,9,0,0,0,9,9,9,0,0,0,0,9,9,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,9,0,0
0,9,1,4,3,9,9,1,1,3,1,8,8,9,8,3,2,2,9,9,1,6,3,0,0,1,1,0,4,0,0,9,1,9,9,5,6,2,2,7,1,0
0,9,,9,,4,9,,4,,,,9,9,,,,,1,0,,9,4,4,,,,,0,0,,,0,,,,9,,0,,0,
0,5,0,0,0,7,9,0,0,0,0,7,8,1,0,0,0,0,8,7,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,5,0,1,9,0,0
9,5,3,6,4,5,3,3,9,5,3,3,4,5,4,3,0,3,3,3,3,7,0,4,3,9,3,4,4,3,0,5,3,1,0,4,3,0,8,3,0,1
1,5,1,1,1,9,0,0,0,9,0,9,0,9,1,1,0,0,0,2,5,1,1,9,1,1,1,2,0,3,0,0,0,0,0,0,0,0,0,9,0,
1,6,3,5,4,8,8,0,3,6,1,1,1,3,2,5,0,1,1,9,6,4,0,0,0,8,1,1,3,,,1,0,0,9,0,3,0,6,8,0,
,8,8,,,,,,,,,,,,,,,9,9,9,,9,,,0,,,,,,,9,,,,,9,,1,,,9
2,5,0,0,0,9,8,3,0,0,2,5,2,6,8,0,0,0,0,9,3,9,2,0,0,0,0,0,3,0,0,0,0,2,0,0,7,0,0,0,1,0
,8,,,,8,,,,,,0,,9,9,7,,,,1,8,,,0,,,,0,1,,,,,,,,,,1,1,,
0,9,1,0,0,8,1,1,0,0,1,1,9,2,0,0,0,4,0,8,9,1,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,1,6,0,0
0,0,0,1,0,0,7,0,0,6,4,0,9,0,,0,9,0,,9,,0,,0,1,1,0,0,0,0,,0,,0,0,,6,0,,,0,
0,9,9,0,9,0,9,0,0,9,9,0,0,9,0,9,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,9,9,0,0,0,0,0,0,9,0
,0,,,,,,,,,,,,5,,,,,,,,,,,3,,,,5,,,,,,,,9,,,,9,
1,9,2,1,1,0,2,3,3,1,5,5,0,0,3,0,0,0,0,0,5,4,9,3,1,6,4,9,9,5,3,3,0,0,3,3,5,0,2,4,0,0
1,9,2,2,6,7,8,2,1,4,6,4,2,5,2,2,6,2,8,7,2,4,1,5,2,1,1,2,0,1,0,2,1,3,0,7,4,1,3,6,2,8
0,7,1,7,0,9,0,1,1,9,0,0,0,2,7,1,0,0,0,0,1,8,0,9,0,0,0,1,1,8,7,5,0,0,0,4,9,9,9,7,0,9
0,0,,0,0,1,9,,0,0,0,9,9,0,0,0,1,0,0,9,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,,1,9,0,0
0,4,6,9,4,0,9,0,0,0,0,2,0,9,0,0,0,0,0,1,0,2,0,9,0,0,0,9,0,9,0,0,0,0,0,0,2,9,9,0,2,0
9,1,8,0,0,1,9,0,0,0,0,0,8,0,0,0,9,9,9,0,0,1,0,9,0,9,0,1,0,0,0,0,0,5,0,0,1,0,0,0,0,0
0,7,5,3,2,8,6,0,0,1,3,8,5,0,9,0,4,0,9,6,6,0,4,0,4,0,0,8,3,2,,0,0,0,0,2,6,5,1,9,0,
0,7,9,0,1,0,5,0,2,1,0,9,4,2,5,0,1,0,3,9,1,9,1,0,0,0,1,0,3,5,,0,1,1,1,2,5,1,5,9,0,
0,9,5,1,1,0,8,1,0,3,8,6,5,0,8,1,1,1,0,1,1,1,1,2,1,0,1,0,7,0,0,0,2,0,0,1,3,1,9,3,5,0
3,,,,,,,,4,,9,,,,,,,1,,1,5,,,,,3,,,,2,,,,,9,,,4,3,,2,
9,9,8,9,9,9,9,8,9,9,8,9,9,9,8,8,8,8,8,9,9,9,9,9,9,8,8,9,9,9,9,9,8,9,9,9,9,8,9,8,9,9
0,0,0,0,0,0,0,0,0,0,0,9,9,0,9,1,0,0,9,9,9,9,0,0,0,0,0,0,9,0,0,0,0,0,0,0,5,0,5,7,0,0
0,9,9,0,0,0,9,0,0,9,0,9,4,0,0,0,0,0,0,9,9,9,4,0,0,9,0,0,0,0,0,5,9,9,9,2,,0,0,0,0,0
1,2,1,1,1,2,1,2,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,9,1,1,1,1,4,1,,1,1,2,2,1,1,1,1,3,1,
0,1,9,1,2,1,3,2,9,9,9,2,9,9,2,2,2,2,9,2,2,2,0,0,9,0,0,1,1,1,1,9,1,1,1,9,1,9,1,9,1,1
0,9,1,1,3,2,4,1,1,9,1,2,3,9,4,1,0,1,9,6,3,0,1,0,1,1,0,0,1,1,0,1,1,3,1,1,3,1,1,4,1,0
0,9,9,0,9,0,0,0,0,0,9,0,9,9,0,0,0,0,9,9,0,9,0,0,0,0,0,9,0,0,0,0,0,0,0,9,0,0,0,0,0,9
,,,,,,,,,,,,,,,,,,,,,,,9,,,,,,,,,,,,,,,0,,,
0,8,5,2,2,4,7,1,1,0,9,8,1,9,9,1,2,0,9,1,6,2,0,2,3,0,0,4,0,6,0,9,1,0,0,9,0,6,9,0,1,0
0,9,1,1,1,7,9,1,5,9,1,5,1,9,5,1,0,1,1,9,1,5,5,1,1,1,0,1,1,1,0,1,1,5,1,1,5,1,9,1,0,0
0,9,0,9,0,5,9,0,0,0,0,0,9,9,6,0,0,0,5,9,5,5,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,0,0
0,9,2,5,3,5,6,7,3,3,2,6,4,1,6,1,1,0,7,9,5,6,3,1,1,0,1,7,3,2,,9,1,2,6,1,2,1,,,,
0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,9,0,0,0,0
4,6,5,0,0,9,9,1,0,0,0,9,1,1,0,1,1,0,1,5,0,0,0,0,0,9,1,1,1,0,,0,1,9,0,1,1,0,0,9,0,0
0,5,0,3,4,9,2,0,0,4,2,9,9,3,2,0,0,0,2,9,9,5,0,0,0,0,0,0,9,0,,0,5,0,0,0,5,3,0,0,0,0
0,9,0,6,0,9,9,0,9,7,0,9,9,9,6,0,0,4,9,9,0,6,7,8,0,0,0,0,9,0,0,9,5,9,0,0,9,0,5,0,3,9
0,9,0,9,0,1,1,0,0,9,1,0,0,0,0,0,1,0,1,0,0,9,0,9,0,0,0,9,0,0,1,9,0,5,9,0,9,9,1,0,0,9
4,9,0,9,0,0,4,3,0,3,0,0,0,9,2,2,0,2,0,0,0,9,0,0,0,0,0,0,0,4,9,3,0,0,2,3,9,0,3,3,0,0
1,9,9,3,1,6,6,1,1,4,8,2,1,8,1,1,1,1,8,9,1,5,5,1,1,1,1,4,2,1,1,2,1,1,7,1,2,1,1,3,7,1
1,1,1,1,1,1,1,9,1,1,1,1,9,1,1,1,0,0,1,1,1,1,1,1,0,1,9,9,0,0,0,1,1,1,0,0,0,9,9,1,0,0
2,8,4,7,7,3,5,1,3,9,3,9,9,8,6,6,0,0,0,4,0,9,9,5,0,0,9,9,7,9,0,1,1,6,4,0,7,0,9,1,0,0
2,9,0,0,0,9,6,9,0,0,0,0,0,9,5,5,0,0,6,9,9,9,0,9,0,0,0,0,0,0,5,5,5,5,0,0,5,5,9,0,0,0
0,0,0,0,9,8,0,0,0,0,0,7,7,0,0,9,0,5,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0
0,9,0,0,0,0,0,0,0,0,0,0,0,5,5,0,0,0,9,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,9,0,0,0,0,9,0,0,0,0,0,0,9,0
3,9,8,3,6,7,7,7,0,8,6,7,8,8,0,8,2,0,9,9,0,8,0,8,4,0,0,3,7,0,,6,0,2,8,0,5,0,0,0,0,
0,8,0,1,7,9,6,1,0,8,0,1,9,5,5,2,0,0,8,8,3,1,1,1,1,0,0,1,1,0,9,1,0,1,1,0,3,1,1,1,0,0
0,9,1,0,2,1,3,1,0,9,1,2,0,9,3,2,0,0,9,1,7,0,0,0,0,0,1,0,2,1,,1,0,6,1,4,0,0,0,6,0,
0,7,5,5,6,8,3,5,0,9,3,3,9,3,3,3,3,3,7,8,3,3,7,0,3,3,7,9,9,3,,3,3,8,6,3,5,3,7,3,3,
0,4,2,4,2,9,2,2,2,0,2,9,9,2,2,2,2,2,2,2,1,4,0,1,2,4,0,0,0,1,2,2,2,9,9,5,9,5,5,2,2,0
,9,,,,,7,,,,,8,,,,,,,9,8,,,,,,,,,,,,,,,8,,,,,,,
,5,,,5,,0,,,,0,,0,,0,,,0,0,,,,5,9,3,,,,9,,0,,,,,,,,0,0,9,
1,9,2,2,2,0,6,7,4,6,2,8,4,8,8,2,2,3,1,7,2,2,7,7,1,1,1,0,0,9,1,7,2,5,8,2,2,2,9,1,0,9
3,9,1,8,4,7,9,5,1,9,3,2,1,8,9,4,1,6,7,9,9,7,5,5,4,1,3,4,8,1,,7,1,5,8,1,9,1,1,7,8,
0,5,2,1,0,8,9,1,2,4,3,7,1,4,4,1,0,1,2,8,3,6,0,0,1,0,2,1,1,2,,0,1,1,2,,1,2,3,1,0,
1,9,0,0,1,9,0,0,0,0,0,0,9,9,7,0,0,0,9,0,0,0,0,9,1,0,0,0,0,5,0,0,0,0,9,0,9,0,5,0,0,0
0,9,9,0,0,1,6,1,0,0,5,3,0,9,4,0,0,7,6,1,0,9,0,0,0,0,9,1,3,0,0,1,0,0,0,0,7,5,2,9,0,0
0,3,2,0,1,1,0,0,1,1,1,0,0,9,0,0,1,0,0,4,3,0,0,1,2,0,0,0,4,0,0,2,2,1,0,4,0,9,1,4,0,0
0,9,0,9,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,9,9,0,9,0,0,9,0,0,0,9,9,0,0,0,9,0,9,0,0,0
0,8,0,0,0,0,7,0,0,0,0,0,9,0,0,0,7,0,0,5,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0
9,5,5,5,1,9,1,5,0,9,1,5,0,1,5,0,0,0,9,5,0,1,0,9,1,0,0,1,1,0,0,1,0,1,5,0,9,1,5,0,0,0
0,3,0,9,0,9,3,0,0,0,0,9,9,0,0,0,2,0,4,9,5,9,0,1,0,0,0,0,0,2,0,9,0,0,4,9,9,5,5,0,0,0
2,7,1,0,0,1,0,3,0,6,0,1,2,0,0,0,2,1,9,1,0,0,0,0,1,3,0,1,1,0,0,0,0,0,9,4,0,0,0,7,9,0
0,9,0,5,7,5,7,7,5,8,5,8,9,5,6,5,6,5,2,5,5,9,5,2,5,7,9,9,9,5,5,9,5,3,3,9,6,7,9,5,6,5
0,9,7,0,0,9,6,0,0,0,5,0,7,0,5,0,0,0,0,8,4,5,0,0,0,0,0,0,,,0,3,0,9,0,6,0,5,0,0,0,0
0,9,3,0,3,3,0,3,0,3,6,0,0,3,0,9,0,3,3,6,0,3,0,9,0,0,0,0,0,3,0,0,3,0,0,0,9,0,9,5,0,0
0,9,9,0,0,9,6,0,0,1,0,0,6,6,4,0,0,0,6,9,0,7,0,0,0,0,0,0,3,0,0,0,0,5,1,0,0,2,0,0,0,0
0,9,1,3,9,9,4,1,0,9,2,3,7,5,9,7,1,1,7,1,3,8,0,9,0,0,1,3,2,0,,9,3,0,3,2,4,9,0,4,0,9
0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0
0,9,1,4,3,5,5,1,0,9,3,7,7,9,8,1,0,0,9,6,5,1,0,0,0,0,1,0,0,0,7,7,0,9,1,3,3,1,0,7,0,0
0,0,0,0,0,0,0,0,0,9,0,0,0,9,9,0,0,0,9,9,0,0,0,0,9,0,0,0,9,0,0,0,0,0,0,0,0,9,0,0,9,0
3,9,1,0,3,2,6,2,0,0,0,9,2,4,7,2,0,1,8,2,0,6,3,3,0,2,0,0,6,1,5,7,1,0,0,1,8,0,2,3,4,0
0,3,1,4,5,3,9,2,4,4,1,9,4,6,5,3,0,2,5,9,4,4,2,0,0,2,2,0,8,4,,4,2,5,4,4,9,6,5,9,3,
0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,2,8,0,0,3,7,0,0,0,9,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,4,2,0,,0,0,,0,,0,,4,,,,,0,,,4,0,,,,4,5,,,,,,9,2,,,3,2,,
2,3,2,0,0,7,0,4,0,0,7,0,9,2,2,2,0,4,,6,2,2,0,2,0,0,0,2,7,7,,2,2,1,0,0,9,4,0,0,4,
1,9,7,2,3,5,5,6,5,7,5,8,7,9,8,1,3,0,6,7,0,6,0,0,0,0,0,5,0,0,,6,4,6,9,6,0,0,4,2,0,0
0,0,1,0,0,9,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,0,1,1,9,9,0,1,1,0,9,9,9,0,0,0,0,9,1,1,1,0,1,0,0,0,0,1,0,,1,1,1,0,1,9,0,9,9,0,1
0,1,1,5,9,9,9,9,1,9,1,9,1,9,0,1,1,1,8,9,1,9,8,7,1,0,0,6,2,0,,1,1,3,1,0,9,0,0,1,0,
0,0,9,0,0,0,9,0,0,9,0,9,9,0,0,0,9,0,9,9,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,9,0,0,0,9,0,0
3,1,2,4,5,5,1,1,2,1,4,5,9,1,1,5,2,3,1,1,5,5,0,4,1,3,4,3,3,1,2,3,2,4,0,3,8,3,7,4,6,7
0,8,8,8,,5,5,,0,7,5,9,0,7,,,,,8,9,,,8,,,,6,6,,0,0,,,,,,5,,5,,,
0,9,0,0,9,9,5,5,0,0,0,9,0,9,0,0,0,0,9,9,0,9,1,1,0,0,0,1,0,0,0,0,0,3,3,0,9,3,0,3,0,0
0,9,0,4,5,0,0,0,0,6,2,4,9,3,0,0,0,2,9,2,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0
1,9,2,3,0,0,3,0,0,4,0,3,0,5,7,6,0,0,7,1,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,6,0,0
0,7,5,0,5,7,5,1,9,7,0,1,9,1,1,0,0,0,7,0,0,1,0,0,0,0,0,5,0,0,,5,9,5,0,5,7,7,0,5,5,
,9,,,,,,,,,,,9,7,,,,,,,,,,6,,,9,9,9,9,,7,,,,,,,9,9,9,
0,9,9,3,1,9,9,4,0,1,1,9,9,1,7,7,0,0,8,9,5,7,1,0,0,0,0,0,4,1,0,3,0,1,0,0,7,1,5,6,0,5
Abgerufen von „https://wiki.piratenpartei.de/wiki/index.php?title=Benutzer:Entropy/Wahlen/AVNRW13&oldid=2032346“