
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
Find all real sequences \( x_1, x_2, \ldots, x_{1995} \) which satisfy \( 2\sqrt{x_n - n + 1} \geq x_{n+1} - n + 1 \) for \( n = 1, 2, \ldots, 1994 \), and \( 2\sqrt{x_{1995} - 1994} \geq x_1 + 1 \).

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