# Distinct Sum

Let the 10 letters $$A$$ to $$J$$ represent each of the digits $$0$$ to $$9$$ (not necessarily in order.

What is the minimum value of $$\overline{A} + \overline{BC} + \overline{DEF} + \overline{GHIJ}$$?

$$\overline{ABC}$$ refers to reading the number in decimal base. $$\overline{ABC} = 100A + 10B + C$$, and not $$A \times B \times C$$.

Details and assumptions

The letters represent digits. Any of them can be any of the digits.

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