All the factorials you know

If n5n\geq 5, find the last digit of 1!+2!+3!++n!1! + 2! + 3!+ \cdots + n! .

Notation: !! denotes the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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