Question: 4. (5 points} Purpose: Practice algorithm design and the use of data structures. This problem was an interview question! Consider a situation where your data

 4. (5 points} Purpose: Practice algorithm design and the use of

4. (5 points} Purpose: Practice algorithm design and the use of data structures. This problem was an interview question! Consider a situation where your data is almost sortedfor example you are receiving time-stamped stock quotes and earlier quotes may arrive after later quotes because of differences in server loads and network trafc routes. Focus only on the timewstamps. Assume that each time-stamp is an integer, all timestamps are different. and for any two time-stamps, the earlier tirnewstamp corresponds to a smaller integer than the later timestamp. The timestamps arrive in a stream that is too large to he kept in memory completely. The timestamps in the stream are not in their correct order, but you know that every time-stamp {integer} in the stream is at most hundred positions away from its correctly sorted position. Design an algorithm that outputs the timestamps in the correct order and uses only a constant amount of storage, i-e., the memory used should be independent of the number of Time stamps processed. Solve the problem using a heap

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