Software Developer New Grad Interview Questions

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The question was: Given a sparse bit array A of size M stored in a database. The database provides an API query(L,R) which returns 1 if there is at least one bit equal to one in A[L..R] and 0 otherwise. You want to find all the 1 bits in a reasonable number of queries. E.g. for array 01100000001, positions of 1 bits are {1, 2, 10}. Return the array of all the positions of 1's. T.C -> It should not be linear. S.C -> It should be constant. You should not use recursion or extra function. (this part was the followup to the recursive and queue approach)
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Software Engineer New Grad

Interviewed at Google

4.4
Aug 17, 2025

The question was: Given a sparse bit array A of size M stored in a database. The database provides an API query(L,R) which returns 1 if there is at least one bit equal to one in A[L..R] and 0 otherwise. You want to find all the 1 bits in a reasonable number of queries. E.g. for array 01100000001, positions of 1 bits are {1, 2, 10}. Return the array of all the positions of 1's. T.C -> It should not be linear. S.C -> It should be constant. You should not use recursion or extra function. (this part was the followup to the recursive and queue approach)

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