Distinct Sum

Let the 10 letters A A to JJ represent each of the digits 00 to 99 (not necessarily in order.

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

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