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A Young tableau is a $\text{2D}$ array of integers increasing from left to right and from top to bottom. Any unfilled entries are marked with $\infty$, and hence there cannot be any entry to the right of, or below a $\infty$. The following Young tableau consists of unique entries.
$$\begin{array}{llll} \textbf{1}  &  \text{2}&  \text{5} &  \text{14}  \\  \text{3} & \text{4} &  \text{6} &  \text{23}  \\  \text{10} & \text{12} &  \text{18} &  \text{25}  \\  \text{31} & \text{$\infty$} &  \text{$\infty$} &  \text{$\infty$}  \\ \end{array}$$
When an element is removed from a Young tableau, other elements should be moved into its place so that the resulting table is still a Young tableau (unfilled entries may be filled with a $\infty$). The minimum number of entries (other than $1$) to be shifted, to remove $1$ from the given Young tableau is _____.

  1. $2$
  2. $5$
  3. $6$
  4. $18$
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