
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

On December 24, 1800, First Consul Bonaparte was heading to the Opera on Saint-Nicaise Street. A bomb exploded on his route with a delay of a few seconds. There were many killed and injured. Bonaparte blamed the republicans for the conspiracy; he deported 98 of them to the Seychelles and Guyana. Several people were executed. 

Suppose the number of injured is equal to twice the number of killed (in the explosion) plus four thirds of the number of executed, and the sum of the number of killed or injured and the number of executed is slightly less than the number deported. Also, if you subtract 4 from the number of killed, you get exactly twice the number of executed.

Can you, without consulting history books, determine how many people Bonaparte executed after the assassination attempt on Saint-Nicaise Street?

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