In new versions of Android Studio, the best way to attract an Eclipse / ADT project is to import it directly into Android Studio; We initially recommended exporting it from Eclipse to Gradle, but we did not update ADT often enough to keep up with Android Studio.
In any case, if you select "Import project" in the "File" menu or on the "Welcome" screen when launching Android Studio, it should go through a specialized wizard that will offer you to copy files to the new directory structure, instead of importing them in place, and will suggest fixing some common things, such as converting dependencies to Maven-style, etc.
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