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Find a 3-digit integer which is can be expressed as the sum of factorial of its digits.
ABC‾=A!+B!+C! \overline{ABC} = A! + B! + C! ABC=A!+B!+C!
Notation: !!! is the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 8!=1×2×3×⋯×8.
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