A Logic Puzzle

Algebra Level 5

f(1111)=4f(1111)=4 f(1234)=3f(1234)=3 f(4567)=2f(4567)=2 f(1357)=4f(1357)=4 f(6518)=4f(6518)=4 f(3817)=6f(3817)=6 f(8008)=6f(8008)=6 f(1000)=4f(1000)=4 f(2014)=?f(2014)=?

Hint: Each digit is valuable.

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