Mathematics, 29.11.2019 02:31 makenziehook8
Randomization for approximation oftentimes, extremely simple randomized algorithms can achieve reasonably good approximation factors. (a) consider max 3-sat (given a set of 3-clauses, find the assignment that satisfies as many of them as possible). come up with a simple randomized algorithm that will achieve an approximation factor of 7 8 in expectation. that is, if the optimal solution satisfies k clauses, your algorithm should produce an assignment that satisfies at least 7 8 ∗ k clauses in expectation. you may assume that every clause contains exactly 3 distinct variables. (b) given an instance of max 3-sat with n clauses, what is the maximum number of clauses that are guaranteed to be solved in at least one assignment of variables? 1 cs 170, fall 2019 hw 12 p. raghavendra & s. rao (c) give an example of a max 3-sat instance where the optimal solution matches the number in (b)
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1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b
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The following graph shows the consumer price index (cpi) for a fictional country from 1970 to 1980? a.) 1976 - 1978b.) 1972 - 1974c.) 1974 - 1976d.) 1978 - 1980
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Mathematics, 21.06.2019 20:30
A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.
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Mathematics, 21.06.2019 22:00
Percent increase and decrease. original number: 45 new number: 18
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Randomization for approximation oftentimes, extremely simple randomized algorithms can achieve reaso...
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