
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
<span style="color:darkblue">Weightlifter Ruslan has just finished the exercise with a weight, which has  $ n$  small weights on one side and  $ n$  on the another. At each stage he takes some weights from one of the sides, such that at any moment the difference of the numbers of weights on the sides does not exceed  $ k$ . What is the minimal number of stages (in function if  $ n$  and  $ k$ ), which Ruslan need to take off all weights..</span>

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