Given a stream of length n where every value is an integer lies in [1, N], show a single-pass algorithm that uses O(log n log N) memory and reports the elements such that (1) All elements that occur more than n/3 times in the stream are reported. (2) All elements that are reported at least n/6 times in the stream. Explain why your algorithm is correct.

Scientists have changed the model of the atom as they have gathered new evidence. one of the atomic models is shown below. what experimental evidence led to the development of this atomic model from the one before it? a few of the positive particles aimed at a gold foil seemed to bounce back. the colors of light emitted from heated atoms had very specific energies. experiments with water vapor showed that elements combine in specific proportions. cathode rays were bent in the same way whenever a magnet was brought near them.