A Logic Puzzle

Algebra Level 5

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

Hint: Each digit is valuable.

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