
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
Given the equilibrium constant for the reaction $\mathrm{H_{2}(g) + I_{2}(g) \rightleftharpoons 2HI(g)}$ is $\mathrm{K_{1}}$ and for the reaction $\mathrm{HI(g) \rightleftharpoons \frac{1}{2}H_{2}(g) + \frac{1}{2}I_{2}(g)}$ is $\mathrm{K_{2}}$, determine the relationship between $\mathrm{K_{1}}$ and $\mathrm{K_{2}}$.

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