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Just a tree passing through
[m]\usepackage{tikz}
\usepackage{forest}
\begin{forest}
for tree={circle,
draw,
edge = {->},
fill = yellow}
[\tiny$00$, fill = green, label=below:{\tiny $g$ = 0}
[\tiny$01$, label=below:{\tiny $f$ = ?}, edge label={node[midway,left] {2}}
[\tiny$03$, edge label={node[midway,left] {2}}
[\tiny$07$, fill=red, edge label={node[midway,left] {1}}
[\tiny$15$, fill=red, edge label={node[midway,left] {1}}]
[\tiny$16$, edge label={node[midway,right] {2}}]
]
[\tiny$08$, fill=red, edge label={node[midway,right] {1}}
[\tiny$17$, edge label={node[midway,left] {2}}]
[\tiny$18$, edge label={node[midway,right] {2}}]
]
]
[\tiny$04$, edge label={node[midway,right] {2}}
[\tiny$09$, edge label={node[midway,left] {2}}
[\tiny$19$, fill=red, edge label={node[midway,left] {1}}]
[\tiny$20$, fill=red, edge label={node[midway,right] {1}}]
]
[\tiny$10$, edge label={node[midway,right] {2}}
[\tiny$21$, edge label={node[midway,left] {2}}]
[\tiny$22$, fill=red, edge label={node[midway,right] {1}}]
]
]
]
[\tiny$02$, label=below:{\tiny $f$ = ?}, edge label={node[midway,right] {2}}
[\tiny$05$, fill=red, edge label={node[midway,left] {1}}
[\tiny$11$, fill=red, edge label={node[midway,left] {1}}
[\tiny$23$, edge label={node[midway,left] {2}}]
[\tiny$24$, fill=red, edge label={node[midway,right] {1}}]
]
[\tiny$12$, fill=red, edge label={node[midway,right] {1}}
[\tiny$25$, fill=red, edge label={node[midway,left] {1}}]
[\tiny$26$, edge label={node[midway,right] {2}}]
]
]
[\tiny$06$, fill=red, edge label={node[midway,right] {1}}
[\tiny$13$, edge label={node[midway,left] {2}}
[\tiny$27$, fill=red, edge label={node[midway,left] {1}}]
[\tiny$28$, edge label={node[midway,right] {2}}]
]
[\tiny$14$, fill=red, edge label={node[midway,right] {1}}
[\tiny$29$, edge label={node[midway,left] {2}}]
[\tiny$30$, fill=red, edge label={node[midway,right] {1}}]
]
]
]
]
\end{forest}[/m]
2 „Gefällt mir“