Course Solutions Uncategorized (Solved) : 3 20 Marks Consider Following Decision Problems Palkiti Ion Pre Condition Sequence Positiv Q28324785 . . . .

(Solved) : 3 20 Marks Consider Following Decision Problems Palkiti Ion Pre Condition Sequence Positiv Q28324785 . . . .

 

3. (20 marks) Consider the following decision problems PALKITI?ION Pre-condition: a sequence of positive integers mi,m2,...,m Post-condition: output yes if there exists a subset A C [1,2,...,n) such that m- mi - iEA ? mi: no otherwise. AgA BIN PACKING ·Pre-condition: a sequence of real numbers 81,82, . . . , sn ? [O, 1] and an integer K. » Post-condition: output yes if it is possible to place items with sizes s1, s2,... , Sn into at most K unit-size bins; no otherwise. Assuming that PARTITION is NP-COMPLETE, prove that BIN PACKING is NP-COMPLETE

3. (20

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