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::
ho provato così ma non so come distanziare i nodi\begin{tikzpicture} [level distance=25mm][node distance=20cm]
\node {$\begin{Young}
$1$ \cr
\end{Young}$}
child {node {$\begin{Young}
1 & 2 \cr
\end{Young}$}
child {node {$\begin{Young}
3 \cr \\
1 & 2 \cr
\end{Young}$
}
child {node {$\begin{Young}
3 & 4 \cr \\
1 & 2 \cr
\end{Young}$
}
child {node {$\begin{Young}
5 \cr \\
3 & 4 \cr \\
1 & 2 \cr
\end{Young}$
}
child {node {$\begin{Young}
5 & 6 \cr \\
3 & 4 \cr \\
1 & 2 \cr
\end{Young}$
} child {node {$\begin{Young}
7 \cr \\
5 & 6 \cr \\
3 & 4 \cr \\
1 & 2 \cr
\end{Young}$
}}}
child {node {$\begin{Young}
5 \cr \\
3 & 4 \cr \\
1 & 2 & 6 \cr
\end{Young}$
} child {node {$\begin{Young}
7 \cr \\
5 \cr \\
3 & 4 \cr \\
1 & 2 & 6 \cr
\end{Young}$}}
child {node {$\begin{Young}
5 & 7 \cr \\
3 & 4 \cr \\
1 & 2 & 6 \cr
\end{Young}$
}}
child {node {$\begin{Young}
5 \cr \\
3 & 4 & 7 \cr \\
1 & 2 & 6 \cr
\end{Young}$
}}
} }
child {node {$\begin{Young}
3 & 4 \cr \\
1 & 2 & 5 \cr
\end{Young}$}
child {node {$\begin{Young}
3 & 4 \cr \\
1 & 2 & 5 & 6 \cr
\end{Young}$} child {node {$\begin{Young}
7 \cr \\
3 & 4 \cr \\
1 & 2 & 5 & 6 \cr
\end{Young}$}} child {node {$\begin{Young}
3 & 4 & 7 \cr \\
1 & 2 & 5 & 6 \cr
\end{Young}$}}}}
}}};
\end{tikzpicture}
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