
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
Nair and Yuli play the following game: $1.$  There is a coin to be moved along a horizontal array with  $203$  cells. $2.$  At the beginning, the coin is at the first cell, counting from left to right. $3.$  Nair plays first. $4.$  Each of the players, in their turns, can move the coin  $1$ ,  $2$ , or  $3$  cells to the right. $5.$  The winner is the one who reaches the last cell first.
What strategy does Nair need to use in order to always win the game?


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