Before revision:  As a result, in some cases we are able to continue with the process of testing queries even after the first time in which the value of the query did not meet our expectations .
After revision:  We suggest an alternative, equally simple, algorithm that can continue testing queries as long as any single individual does not contribute to the answer of too many queries whose answer deviates substantially form what we expect. Our analysis is subtle and some of its ingredients may be more widely applicable. In some cases our new algorithm allows to privately extract much more information from the database than the original .