
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
Shenelle has some square tiles. Some of the tiles have side length  $5\text{ cm}$  while the others have side length  $3\text{ cm}$ . The total area that can be covered by the tiles is exactly  $2014\text{ cm}^2$ . Find the least number of tiles that Shenelle can have.

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