Impressed by this puzzle, I’ve give you the next:

Are you able to discover a solution to make

$$2 ; 0 ; 2 ; 2 ; 2 ; 0 ; 2 ; 2 = 2022$$

by solely including any of the next operations or symbols:

$$+, -, occasions, !, /,, hat, , (, , )$$

## Extra Guidelines:

• Concatenation will not be allowed. For instance, $$operatorname*{concat}(2 ; 0 ; 2 ; 2) + (2 occasions 0 occasions 2 occasions 2) = 2022$$ is disallowed.
• The identical image can’t be adjoining (besides brackets). For instance, $$!!$$ or $$hat{}hat{}$$ is disallowed.
• Base conversion will not be allowed, that’s, each LHS and RHS should use base 10.
• $$=$$ strictly denotes numerical equality.
• The one legitimate interpretations for the above symbols are these listed right here.
• Rearranging numbers will not be allowed.
• Symbolic manipulation will not be allowed (for each symbols and numbers). For instance, $$neq$$, $$substack{0}$$, $$!!=$$, and so forth. is disallowed.
• Modifications might solely be made to LHS.
• No new symbols or numbers could also be added. For instance, $$mid$$, $$[]$$ or commas might not be added.

## Trace (for one attainable answer):

$$337 occasions 6 = 2022$$

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