Question: Consider the following randomized algorithm ALG for the Time Series Search problem: Pick j in { 0 , . . . , log phi

Consider the following randomized algorithm ALG for the Time Series
Search problem: Pick j in {0,..., log \phi } uniformly at random. Trade all savings on the first day i such that the exchange rate pi satisfies pi >=(2^j)L. If no such exchange rate is encountered, trade all savings on the last day.
Prove that oblivious competitive ratio \rho OBL(ALG)<=2(log \phi +1).

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