
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Veronika has a standard $8 \times 8$ chessboard. Rows are labeled 1 through 8, and columns are labeled a through $\mathrm{h}$. Veronika placed a knight on square b1, which can move only as a knight does in chess.

1. Is it possible to move the knight to square h1 in four moves?
2. Is it possible to move the knight to square e6 in five moves?

If yes, describe all possible sequences of moves. If no, explain why it is not possible.

Hint: Mark the squares to which the knight can move after the first move, the second move, and so on.

Present the answer in LaTex format: \boxed{Your answer}
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