
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 that \\( \overrightarrow{i} \\) and \\( \overrightarrow{j} \\) are mutually perpendicular unit vectors, \\( \overrightarrow{a} = \overrightarrow{i} - 2\overrightarrow{j} \\), \\( \overrightarrow{b} = \overrightarrow{i} + \lambda \overrightarrow{j} \\) and the angle between \\( \overrightarrow{a} \\) and \\( \overrightarrow{b} \\) is acute, determine the range of the real number \\( \lambda \\).

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