0 Bänke, 11 Zweiwege, 2 Dreiwege, 18.432 Möglichkeiten, 10er-Garantie
Drei Varianten mit 64, 68 und 70 Reihen.
0B 11Z 2D | 64R & 68R & 70R
-
- Tipp-Geselle
- Beiträge: 90
- Registriert: 8. Jul 2024, 14:32
Re: Anlaufstelle für Fans der Kombinatorik (@ Dukisfar44)
11 Zweiwege 2 Dreiwege in 70 Reihen, 10- Garantie:
1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,0,0,0,0,0,0,1,1,
1,1,0,0,0,1,1,1,0,0,0,1,1,
1,1,0,0,0,0,0,0,1,1,1,1,1,
1,0,0,0,1,1,1,0,0,0,1,1,1,
1,0,0,0,1,0,0,1,1,1,0,1,1,
0,1,1,0,0,1,0,1,1,0,0,1,1,
0,1,1,0,0,0,1,0,0,1,1,1,1,
0,0,1,1,0,1,0,0,1,1,0,1,1,
0,0,1,1,0,0,1,1,0,0,1,1,1,
0,0,0,1,1,1,0,0,0,1,1,1,1,
0,0,0,1,1,0,1,1,1,0,0,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,0,
1,1,1,1,1,0,0,0,0,0,0,1,0,
1,0,1,0,0,1,1,0,1,0,0,1,0,
1,0,1,0,0,0,0,1,0,1,1,1,0,
1,0,0,1,0,1,1,0,0,1,0,1,0,
1,0,0,1,0,0,0,1,1,0,1,1,0,
0,1,0,1,0,1,0,1,0,1,0,1,0,
0,1,0,1,0,0,1,0,1,0,1,1,0,
0,1,0,0,1,1,0,1,0,0,1,1,0,
0,1,0,0,1,0,1,0,1,1,0,1,0,
0,0,1,0,1,1,0,0,1,0,1,1,0,
0,0,1,0,1,0,1,1,0,1,0,1,0,
1,1,1,1,1,1,1,1,1,1,1,0,1,
1,1,1,1,1,0,0,0,0,0,0,0,1,
1,0,1,0,0,1,1,0,1,0,0,0,1,
1,0,1,0,0,0,0,1,0,1,1,0,1,
1,0,0,1,0,1,1,0,0,1,0,0,1,
1,0,0,1,0,0,0,1,1,0,1,0,1,
0,1,0,1,0,1,0,1,0,1,0,0,1,
0,1,0,1,0,0,1,0,1,0,1,0,1,
0,1,0,0,1,1,0,1,0,0,1,0,1,
0,1,0,0,1,0,1,0,1,1,0,0,1,
0,0,1,0,1,1,0,0,1,0,1,0,1,
0,0,1,0,1,0,1,1,0,1,0,0,1,
1,1,1,1,1,1,1,1,1,1,1,0,0,
1,1,1,1,1,0,0,0,0,0,0,0,0,
1,1,0,0,0,1,1,1,0,0,0,0,0,
1,1,0,0,0,0,0,0,1,1,1,0,0,
1,0,0,0,1,1,1,0,0,0,1,0,0,
1,0,0,0,1,0,0,1,1,1,0,0,0,
0,1,1,0,0,1,0,1,1,0,0,0,0,
0,1,1,0,0,0,1,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,1,0,0,0,
0,0,1,1,0,0,1,1,0,0,1,0,0,
0,0,0,1,1,1,0,0,0,1,1,0,0,
0,0,0,1,1,0,1,1,1,0,0,0,0,
1,1,1,0,0,1,0,0,0,1,1,2,2,
1,1,1,0,0,0,1,1,1,0,0,2,2,
1,1,0,1,0,1,0,0,1,0,1,2,2,
1,1,0,1,0,0,1,1,0,1,0,2,2,
1,1,0,0,1,1,0,0,1,1,0,2,2,
1,1,0,0,1,0,1,1,0,0,1,2,2,
1,0,1,1,0,1,0,1,0,0,1,2,2,
1,0,1,1,0,0,1,0,1,1,0,2,2,
1,0,1,0,1,1,0,1,0,1,0,2,2,
1,0,1,0,1,0,1,0,1,0,1,2,2,
1,0,0,1,1,1,0,1,1,0,0,2,2,
1,0,0,1,1,0,1,0,0,1,1,2,2,
0,1,1,1,0,1,1,0,0,0,1,2,2,
0,1,1,1,0,0,0,1,1,1,0,2,2,
0,1,1,0,1,1,1,0,0,1,0,2,2,
0,1,1,0,1,0,0,1,1,0,1,2,2,
0,1,0,1,1,1,1,0,1,0,0,2,2,
0,1,0,1,1,0,0,1,0,1,1,2,2,
0,0,1,1,1,1,1,1,0,0,0,2,2,
0,0,1,1,1,0,0,0,1,1,1,2,2,
0,0,0,0,0,1,1,1,1,1,1,2,2,
0,0,0,0,0,0,0,0,0,0,0,2,2,
Gruß Dukisfar44
Ergänzung SY:
13er = 0,4%
12er = 5,3%
11er = 31,4%
10er = 62,9% (=100%)
1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,0,0,0,0,0,0,1,1,
1,1,0,0,0,1,1,1,0,0,0,1,1,
1,1,0,0,0,0,0,0,1,1,1,1,1,
1,0,0,0,1,1,1,0,0,0,1,1,1,
1,0,0,0,1,0,0,1,1,1,0,1,1,
0,1,1,0,0,1,0,1,1,0,0,1,1,
0,1,1,0,0,0,1,0,0,1,1,1,1,
0,0,1,1,0,1,0,0,1,1,0,1,1,
0,0,1,1,0,0,1,1,0,0,1,1,1,
0,0,0,1,1,1,0,0,0,1,1,1,1,
0,0,0,1,1,0,1,1,1,0,0,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,0,
1,1,1,1,1,0,0,0,0,0,0,1,0,
1,0,1,0,0,1,1,0,1,0,0,1,0,
1,0,1,0,0,0,0,1,0,1,1,1,0,
1,0,0,1,0,1,1,0,0,1,0,1,0,
1,0,0,1,0,0,0,1,1,0,1,1,0,
0,1,0,1,0,1,0,1,0,1,0,1,0,
0,1,0,1,0,0,1,0,1,0,1,1,0,
0,1,0,0,1,1,0,1,0,0,1,1,0,
0,1,0,0,1,0,1,0,1,1,0,1,0,
0,0,1,0,1,1,0,0,1,0,1,1,0,
0,0,1,0,1,0,1,1,0,1,0,1,0,
1,1,1,1,1,1,1,1,1,1,1,0,1,
1,1,1,1,1,0,0,0,0,0,0,0,1,
1,0,1,0,0,1,1,0,1,0,0,0,1,
1,0,1,0,0,0,0,1,0,1,1,0,1,
1,0,0,1,0,1,1,0,0,1,0,0,1,
1,0,0,1,0,0,0,1,1,0,1,0,1,
0,1,0,1,0,1,0,1,0,1,0,0,1,
0,1,0,1,0,0,1,0,1,0,1,0,1,
0,1,0,0,1,1,0,1,0,0,1,0,1,
0,1,0,0,1,0,1,0,1,1,0,0,1,
0,0,1,0,1,1,0,0,1,0,1,0,1,
0,0,1,0,1,0,1,1,0,1,0,0,1,
1,1,1,1,1,1,1,1,1,1,1,0,0,
1,1,1,1,1,0,0,0,0,0,0,0,0,
1,1,0,0,0,1,1,1,0,0,0,0,0,
1,1,0,0,0,0,0,0,1,1,1,0,0,
1,0,0,0,1,1,1,0,0,0,1,0,0,
1,0,0,0,1,0,0,1,1,1,0,0,0,
0,1,1,0,0,1,0,1,1,0,0,0,0,
0,1,1,0,0,0,1,0,0,1,1,0,0,
0,0,1,1,0,1,0,0,1,1,0,0,0,
0,0,1,1,0,0,1,1,0,0,1,0,0,
0,0,0,1,1,1,0,0,0,1,1,0,0,
0,0,0,1,1,0,1,1,1,0,0,0,0,
1,1,1,0,0,1,0,0,0,1,1,2,2,
1,1,1,0,0,0,1,1,1,0,0,2,2,
1,1,0,1,0,1,0,0,1,0,1,2,2,
1,1,0,1,0,0,1,1,0,1,0,2,2,
1,1,0,0,1,1,0,0,1,1,0,2,2,
1,1,0,0,1,0,1,1,0,0,1,2,2,
1,0,1,1,0,1,0,1,0,0,1,2,2,
1,0,1,1,0,0,1,0,1,1,0,2,2,
1,0,1,0,1,1,0,1,0,1,0,2,2,
1,0,1,0,1,0,1,0,1,0,1,2,2,
1,0,0,1,1,1,0,1,1,0,0,2,2,
1,0,0,1,1,0,1,0,0,1,1,2,2,
0,1,1,1,0,1,1,0,0,0,1,2,2,
0,1,1,1,0,0,0,1,1,1,0,2,2,
0,1,1,0,1,1,1,0,0,1,0,2,2,
0,1,1,0,1,0,0,1,1,0,1,2,2,
0,1,0,1,1,1,1,0,1,0,0,2,2,
0,1,0,1,1,0,0,1,0,1,1,2,2,
0,0,1,1,1,1,1,1,0,0,0,2,2,
0,0,1,1,1,0,0,0,1,1,1,2,2,
0,0,0,0,0,1,1,1,1,1,1,2,2,
0,0,0,0,0,0,0,0,0,0,0,2,2,
Gruß Dukisfar44
Ergänzung SY:
13er = 0,4%
12er = 5,3%
11er = 31,4%
10er = 62,9% (=100%)
Re: Anlaufstelle für Fans der Kombinatorik (@ Dukisfar44)
Danke für die interessanten Zeilen.
Hoffe sehr, dass meine kleine Ergänzung am Ende (Abwicklung) nicht stört. Einige User reagieren empfindlich, wenn ein Posting ergänzt wird. Aber so schauen gleich zwei User auf die Reihen und die Kontrolle ist gegeben.
Im Gegenzug werden die 68 Reihen von dem win2day-Systemchampion aufgezeigt.
0 Bänke, 11 Zweiwege, 2 Dreiwege, 18.432 Möglichkeiten, 10er-Garantie = 68 Reihen
1,1,0,1,1,1,0,0,1,1,1,1,0,
1,1,1,1,1,0,0,0,0,1,0,1,0,
1,1,1,1,0,0,1,0,1,1,1,1,0,
1,0,0,0,1,0,1,0,1,0,0,1,0,
1,0,0,0,1,0,1,1,0,1,1,1,0,
1,0,1,0,0,1,0,0,1,0,0,1,0,
1,0,1,0,0,1,0,1,0,1,1,1,0,
0,1,0,0,0,0,0,1,0,0,0,1,0,
0,1,1,0,1,1,1,0,1,0,0,1,0,
0,1,1,0,1,1,1,1,0,1,1,1,0,
0,0,0,1,0,1,1,1,0,0,0,1,0,
0,0,1,1,1,0,0,0,1,1,1,1,0,
1,1,0,1,1,1,0,0,1,0,0,1,1,
1,1,0,1,1,1,0,1,0,1,1,1,1,
1,1,1,1,0,0,1,0,1,0,0,1,1,
1,1,1,1,0,0,1,1,0,1,1,1,1,
1,0,0,0,1,0,1,1,0,0,0,1,1,
1,0,1,0,0,1,0,1,0,0,0,1,1,
0,1,0,0,0,0,0,0,1,1,1,1,1,
0,1,1,0,1,1,1,1,0,0,0,1,1,
0,0,0,1,0,1,1,0,1,1,1,1,1,
0,0,1,1,1,0,0,0,1,0,0,1,1,
0,0,1,1,1,0,0,1,0,1,1,1,1,
1,1,0,0,0,1,1,0,0,1,0,2,2,
1,1,1,0,1,0,0,0,0,0,1,2,2,
1,1,1,0,1,0,0,1,1,1,0,2,2,
1,0,0,1,0,0,0,0,0,0,1,2,2,
1,0,0,1,0,0,0,1,1,1,0,2,2,
1,0,1,1,1,1,1,0,0,1,0,2,2,
1,0,1,0,0,1,1,0,1,1,1,2,2,
0,1,0,1,1,0,1,0,0,0,1,2,2,
0,1,0,1,1,0,1,1,1,1,0,2,2,
0,1,1,1,0,1,0,1,1,0,1,2,2,
0,0,0,0,1,1,0,1,1,0,1,2,2,
0,0,1,0,0,0,1,0,0,1,0,2,2,
1,1,0,0,0,1,1,1,1,0,1,2,1,
1,1,1,0,1,0,0,0,0,1,0,2,1,
1,0,0,1,0,0,0,0,0,1,0,2,1,
1,0,1,1,1,1,1,1,1,0,1,2,1,
0,1,0,1,1,0,1,0,0,1,0,2,1,
0,1,1,1,0,1,0,0,0,0,1,2,1,
0,1,1,1,0,1,0,1,1,1,0,2,1,
0,0,0,0,1,1,0,0,0,0,1,2,1,
0,0,0,0,1,1,0,1,1,1,0,2,1,
0,0,1,0,0,0,1,1,1,0,1,2,1,
1,1,0,1,1,1,0,1,0,0,0,0,0,
1,1,1,1,0,0,1,1,0,0,0,0,0,
1,0,0,0,1,0,1,0,1,1,1,0,0,
1,0,1,0,1,1,1,0,0,1,0,0,0,
1,0,1,0,0,1,0,0,1,1,1,0,0,
0,1,0,0,0,0,0,0,1,0,0,0,0,
0,1,0,0,0,0,0,1,0,1,1,0,0,
0,1,1,0,1,1,1,0,1,1,1,0,0,
0,0,0,1,0,1,1,0,1,0,0,0,0,
0,0,0,1,0,1,1,1,0,1,1,0,0,
0,0,1,1,1,0,0,1,0,0,0,0,0,
1,1,0,0,0,1,1,0,0,0,1,0,2,
1,1,0,0,0,1,1,1,1,1,0,0,2,
1,1,1,0,1,0,0,1,1,0,1,0,2,
1,0,0,1,0,0,0,1,1,0,1,0,2,
1,0,1,1,1,1,1,0,0,0,1,0,2,
1,0,1,1,1,1,1,1,1,1,0,0,2,
0,1,0,1,1,0,1,1,1,0,1,0,2,
0,1,1,1,0,1,0,0,0,1,0,0,2,
0,0,0,0,1,1,0,0,0,1,0,0,2,
0,0,1,0,0,0,1,0,0,0,1,0,2,
0,0,1,0,0,0,1,1,1,1,0,0,2,
1,1,0,1,1,0,0,1,1,1,1,0,1,
13er = 0,4%
12er = 5,5%
11er = 32,7%
10er = 61,4% (=100%)
Und hier sieht man ganz leicht die Gefahr bei solchen Großsystemen. Es wird zwar sehr viel abgedeckt, doch schon bei zwei Zweiweg-Fehlern hat man nur noch eine Chance von 5,9% in die Gewinnränge 3+4 zu kommen. Dennoch sind 68 Reihen übersichtlich und für manche Spieltage bestimmt passend.
Ich frage mich nun, wie man an den finnländischen Rekord von 64 Reihen kommt. Selbst errechnen geht bei diesen schier unendlichen Möglichkeiten kaum und im Netz ist sehr wenig zur 13er-Kombinatorik zu finden.
Hoffe sehr, dass meine kleine Ergänzung am Ende (Abwicklung) nicht stört. Einige User reagieren empfindlich, wenn ein Posting ergänzt wird. Aber so schauen gleich zwei User auf die Reihen und die Kontrolle ist gegeben.
Im Gegenzug werden die 68 Reihen von dem win2day-Systemchampion aufgezeigt.
0 Bänke, 11 Zweiwege, 2 Dreiwege, 18.432 Möglichkeiten, 10er-Garantie = 68 Reihen
1,1,0,1,1,1,0,0,1,1,1,1,0,
1,1,1,1,1,0,0,0,0,1,0,1,0,
1,1,1,1,0,0,1,0,1,1,1,1,0,
1,0,0,0,1,0,1,0,1,0,0,1,0,
1,0,0,0,1,0,1,1,0,1,1,1,0,
1,0,1,0,0,1,0,0,1,0,0,1,0,
1,0,1,0,0,1,0,1,0,1,1,1,0,
0,1,0,0,0,0,0,1,0,0,0,1,0,
0,1,1,0,1,1,1,0,1,0,0,1,0,
0,1,1,0,1,1,1,1,0,1,1,1,0,
0,0,0,1,0,1,1,1,0,0,0,1,0,
0,0,1,1,1,0,0,0,1,1,1,1,0,
1,1,0,1,1,1,0,0,1,0,0,1,1,
1,1,0,1,1,1,0,1,0,1,1,1,1,
1,1,1,1,0,0,1,0,1,0,0,1,1,
1,1,1,1,0,0,1,1,0,1,1,1,1,
1,0,0,0,1,0,1,1,0,0,0,1,1,
1,0,1,0,0,1,0,1,0,0,0,1,1,
0,1,0,0,0,0,0,0,1,1,1,1,1,
0,1,1,0,1,1,1,1,0,0,0,1,1,
0,0,0,1,0,1,1,0,1,1,1,1,1,
0,0,1,1,1,0,0,0,1,0,0,1,1,
0,0,1,1,1,0,0,1,0,1,1,1,1,
1,1,0,0,0,1,1,0,0,1,0,2,2,
1,1,1,0,1,0,0,0,0,0,1,2,2,
1,1,1,0,1,0,0,1,1,1,0,2,2,
1,0,0,1,0,0,0,0,0,0,1,2,2,
1,0,0,1,0,0,0,1,1,1,0,2,2,
1,0,1,1,1,1,1,0,0,1,0,2,2,
1,0,1,0,0,1,1,0,1,1,1,2,2,
0,1,0,1,1,0,1,0,0,0,1,2,2,
0,1,0,1,1,0,1,1,1,1,0,2,2,
0,1,1,1,0,1,0,1,1,0,1,2,2,
0,0,0,0,1,1,0,1,1,0,1,2,2,
0,0,1,0,0,0,1,0,0,1,0,2,2,
1,1,0,0,0,1,1,1,1,0,1,2,1,
1,1,1,0,1,0,0,0,0,1,0,2,1,
1,0,0,1,0,0,0,0,0,1,0,2,1,
1,0,1,1,1,1,1,1,1,0,1,2,1,
0,1,0,1,1,0,1,0,0,1,0,2,1,
0,1,1,1,0,1,0,0,0,0,1,2,1,
0,1,1,1,0,1,0,1,1,1,0,2,1,
0,0,0,0,1,1,0,0,0,0,1,2,1,
0,0,0,0,1,1,0,1,1,1,0,2,1,
0,0,1,0,0,0,1,1,1,0,1,2,1,
1,1,0,1,1,1,0,1,0,0,0,0,0,
1,1,1,1,0,0,1,1,0,0,0,0,0,
1,0,0,0,1,0,1,0,1,1,1,0,0,
1,0,1,0,1,1,1,0,0,1,0,0,0,
1,0,1,0,0,1,0,0,1,1,1,0,0,
0,1,0,0,0,0,0,0,1,0,0,0,0,
0,1,0,0,0,0,0,1,0,1,1,0,0,
0,1,1,0,1,1,1,0,1,1,1,0,0,
0,0,0,1,0,1,1,0,1,0,0,0,0,
0,0,0,1,0,1,1,1,0,1,1,0,0,
0,0,1,1,1,0,0,1,0,0,0,0,0,
1,1,0,0,0,1,1,0,0,0,1,0,2,
1,1,0,0,0,1,1,1,1,1,0,0,2,
1,1,1,0,1,0,0,1,1,0,1,0,2,
1,0,0,1,0,0,0,1,1,0,1,0,2,
1,0,1,1,1,1,1,0,0,0,1,0,2,
1,0,1,1,1,1,1,1,1,1,0,0,2,
0,1,0,1,1,0,1,1,1,0,1,0,2,
0,1,1,1,0,1,0,0,0,1,0,0,2,
0,0,0,0,1,1,0,0,0,1,0,0,2,
0,0,1,0,0,0,1,0,0,0,1,0,2,
0,0,1,0,0,0,1,1,1,1,0,0,2,
1,1,0,1,1,0,0,1,1,1,1,0,1,
13er = 0,4%
12er = 5,5%
11er = 32,7%
10er = 61,4% (=100%)
Und hier sieht man ganz leicht die Gefahr bei solchen Großsystemen. Es wird zwar sehr viel abgedeckt, doch schon bei zwei Zweiweg-Fehlern hat man nur noch eine Chance von 5,9% in die Gewinnränge 3+4 zu kommen. Dennoch sind 68 Reihen übersichtlich und für manche Spieltage bestimmt passend.
Ich frage mich nun, wie man an den finnländischen Rekord von 64 Reihen kommt. Selbst errechnen geht bei diesen schier unendlichen Möglichkeiten kaum und im Netz ist sehr wenig zur 13er-Kombinatorik zu finden.
Re: Anlaufstelle für Fans der Kombinatorik (sowie System 0B 11Z 2D mit 68R & 70R)

11x Zweiwege + 2x Dreiwege in 64 Reihen, min. 1x 10-er Garantie - Rekord
13er = 0,35%
12er = 5,20%
11er = 29,92%
10er = 64,53% (=100%)
-Ein weiterer 10-er braucht noch 56 Reihen dazu!
-2 Reihen noch dazu - Total 66 Reihen = perfekte Verteilung!
0 Bänke, 11 Zweiwege, 2 Dreiwege, 18.432 Möglichkeiten, 10er-Garantie = 64 Reihen
1,1,1,1,1,1,1,0,1,1,1,1,1,
1,1,1,1,1,0,0,1,1,1,1,2,0,
1,1,1,1,0,1,1,1,1,1,0,0,2,
1,1,1,1,0,0,0,0,1,1,0,1,1,
1,1,1,0,1,1,1,1,1,0,1,0,2,
1,1,1,0,1,0,0,0,1,0,1,1,1,
1,1,1,0,0,1,1,1,1,0,0,2,0,
1,1,1,0,0,0,0,1,1,0,0,0,2,
1,1,0,1,1,1,0,0,0,0,0,0,0,
1,1,0,1,1,0,1,0,0,0,0,2,2,
1,1,0,1,0,1,0,1,0,0,1,1,1,
1,1,0,1,0,0,1,0,0,0,1,0,0,
1,1,0,0,1,1,0,1,0,1,0,1,1,
1,1,0,0,1,0,1,0,0,1,0,0,0,
1,1,0,0,0,1,0,0,0,1,1,2,2,
1,1,0,0,0,0,1,1,0,1,1,1,1,
1,0,1,1,1,1,1,1,0,1,1,2,0,
1,0,1,1,1,0,0,1,0,1,1,0,2,
1,0,1,1,0,1,1,0,0,1,0,1,1,
1,0,1,1,0,0,0,1,0,1,0,2,0,
1,0,1,0,1,1,1,0,0,0,1,1,1,
1,0,1,0,1,0,0,1,0,0,1,2,0,
1,0,1,0,0,1,1,1,0,0,0,0,2,
1,0,1,0,0,0,0,0,0,0,0,1,1,
1,0,0,1,1,1,0,1,1,0,0,1,1,
1,0,0,1,1,0,1,0,1,0,0,0,0,
1,0,0,1,0,1,0,0,1,0,1,2,2,
1,0,0,1,0,0,1,1,1,0,1,1,1,
1,0,0,0,1,1,0,0,1,1,0,2,2,
1,0,0,0,1,0,1,1,1,1,0,1,1,
1,0,0,0,0,1,0,0,1,1,1,0,0,
1,0,0,0,0,0,1,0,1,1,1,2,2,
0,1,1,1,1,1,0,0,0,0,0,2,2,
0,1,1,1,1,0,1,1,0,0,0,1,1,
0,1,1,1,0,1,0,0,0,0,1,0,0,
0,1,1,1,0,0,1,0,0,0,1,2,2,
0,1,1,0,1,1,0,0,0,1,0,0,0,
0,1,1,0,1,0,1,0,0,1,0,2,2,
0,1,1,0,0,1,0,1,0,1,1,1,1,
0,1,1,0,0,0,1,0,0,1,1,0,0,
0,1,0,1,1,1,1,1,1,1,1,2,0,
0,1,0,1,1,0,0,1,1,1,1,0,2,
0,1,0,1,0,1,1,0,1,1,0,1,1,
0,1,0,1,0,0,0,1,1,1,0,2,0,
0,1,0,0,1,1,1,0,1,0,1,1,1,
0,1,0,0,1,0,0,1,1,0,1,2,0,
0,1,0,0,0,1,1,1,1,0,0,0,2,
0,1,0,0,0,0,0,0,1,0,0,1,1,
0,0,1,1,1,1,0,0,1,0,0,0,0,
0,0,1,1,1,0,1,0,1,0,0,2,2,
0,0,1,1,0,1,0,1,1,0,1,1,1,
0,0,1,1,0,0,1,0,1,0,1,0,0,
0,0,1,0,1,1,0,1,1,1,0,1,1,
0,0,1,0,1,0,1,0,1,1,0,0,0,
0,0,1,0,0,1,0,0,1,1,1,2,2,
0,0,1,0,0,0,1,1,1,1,1,1,1,
0,0,0,1,1,1,1,1,0,1,1,0,2,
0,0,0,1,1,0,0,0,0,1,1,1,1,
0,0,0,1,0,1,1,1,0,1,0,2,0,
0,0,0,1,0,0,0,1,0,1,0,0,2,
0,0,0,0,1,1,1,1,0,0,1,2,0,
0,0,0,0,1,0,0,1,0,0,1,0,2,
0,0,0,0,0,1,1,0,0,0,0,1,1,
0,0,0,0,0,0,0,1,0,0,0,2,0,