
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
A different set of checkerboards is being considered for covering with dominoes, each domino encompassing two squares. Determine which one of the following boards cannot be entirely covered with no gaps or overlaps:
1. A 4x6 checkerboard
2. A 5x5 checkerboard
3. A 3x7 checkerboard
4. A 5x6 checkerboard
5. An 8x3 checkerboard
A) 4x6
B) 5x5
C) 3x7
D) 5x6
E) 8x3

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