- Need Help On Questions 6 And 7 Thanks 1 (172.18 KiB) Viewed 112 times
Need help on questions 6 and 7 thanks!!!
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answerhappygod
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Need help on questions 6 and 7 thanks!!!
Need help on questions 6 and 7 thanks!!!
0 X protected-COMP2119_20_2021 (1).pdf (SECURED) - Adobe Acrobat Reader DC (54-bit) File Edit View Sign Window Help Home Tools protected COMP21... Sign In A 5/5 c? DO = 150% - 為·愛 > OQ u. (1970) LU 211..1! De ray UIT POSTLIVC TUTDCIO. Limy 110 PICO VIC Taung price of a stock X on the i-th day (and hence the numbers are ordered chronologically). Write an algorithm max-profit that returns a pair (a, b) such that if one buys stock X on the a-th day and sells it on the b-th day, the maximum profit is made. Give the time complexity of your algorithm in Big-0. Show the derivation of the complexity result. 6. (15%) Give the complexity in (g(n)) for the following five expressions (a) to (e)). Use the simplest g(n) possible. Prove your answer for expression (a) based on the mathemat- ical definition of Big-e. (No need to give proofs for the other expressions.) (a) V8n2 + 2n – 16, (b) log (n) + log3 (na), (C) 20.2" +3" (d) in log n +3n1.5 (e) (n + 1)!+ 2" D 2 7. (a) (8%) Draw a decision tree that describes binary-search when it is applied to search for a number X in a sorted array A[1..4) of four distinct numbers. (Note: there are three possible outcomes of a comparison between two values X and Y, namely, "X<Y", "X =Y", and "X >Y".) (b) (6%) Determine the average number of comparisons binary-search takes on an array of four distinct elements. (Note: this question is meant to be vague. State any assumptions you made.) 850 x 11.00 in
0 X protected-COMP2119_20_2021 (1).pdf (SECURED) - Adobe Acrobat Reader DC (54-bit) File Edit View Sign Window Help Home Tools protected COMP21... Sign In A 5/5 c? DO = 150% - 為·愛 > OQ u. (1970) LU 211..1! De ray UIT POSTLIVC TUTDCIO. Limy 110 PICO VIC Taung price of a stock X on the i-th day (and hence the numbers are ordered chronologically). Write an algorithm max-profit that returns a pair (a, b) such that if one buys stock X on the a-th day and sells it on the b-th day, the maximum profit is made. Give the time complexity of your algorithm in Big-0. Show the derivation of the complexity result. 6. (15%) Give the complexity in (g(n)) for the following five expressions (a) to (e)). Use the simplest g(n) possible. Prove your answer for expression (a) based on the mathemat- ical definition of Big-e. (No need to give proofs for the other expressions.) (a) V8n2 + 2n – 16, (b) log (n) + log3 (na), (C) 20.2" +3" (d) in log n +3n1.5 (e) (n + 1)!+ 2" D 2 7. (a) (8%) Draw a decision tree that describes binary-search when it is applied to search for a number X in a sorted array A[1..4) of four distinct numbers. (Note: there are three possible outcomes of a comparison between two values X and Y, namely, "X<Y", "X =Y", and "X >Y".) (b) (6%) Determine the average number of comparisons binary-search takes on an array of four distinct elements. (Note: this question is meant to be vague. State any assumptions you made.) 850 x 11.00 in
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