
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
Among the checkerboards listed below, which one CANNOT be covered completely by dominos if each board uses an alternating color pattern (like an actual checkerboard)?
- **3x6**
- **5x5**
- **4x4**
- **5x7**
- **4x6**
A) 3x6
B) 5x5
C) 4x4
D) 5x7
E) 4x6

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