
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 the number of combinations of $k$ different elements $\left(j_{1}, j_{2}, \cdots, j_{k}\right)$ selected from $\{1,2, \cdots, n\}$ that satisfy the following conditions:
1. $1 \leqslant j_{1}<j_{2}<\cdots<j_{k} \leqslant n$;
2. $j_{i}-j_{i-1} \geqslant m$ for $i=2,3, \cdots, k$, where $m$ is a natural number.

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