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• 4.(5 points) Five people occupy five seats. If five seats are arranged in a circle, bowmany differen
• 5. (4 points) Let G = (V, E) be a graph. If V has twelve members, in which fourmembers each has a de
• 6. (8 points) A class at a college consists of 19 students who sit at a circular table.The instructo
• 7.(2 x 5 points) Please find the tight asymptotic upper bounds of the followingrecurrences in big-O
• 【題組】(b) T(n) = 2T(n-1) +n
• 8. (8 points) Given a sequence of n integers A = (a1, a2,..., an), the longestincreasing subsequence
• 3. Let be sets from a universe .【題組】(a) Write a quantified statement to express the proper subset r
• 【題組】(b). Calculate equilibrium constant k. (計算此反應的平衡常數)
• 【題組】(c). Calculate △G0(in KJ) for the reaction. (F = 96485 C/ mole)
• V There is a binary tree stored in an array as:in which Thi] is the parent of T(2i + 1] and T(2i + 2
• 1. ______除役前，戰時或有需要時可動員，採「常備平時募兵、後備戰時徵兵」模式，以儲備充足後備人力，並藉逐年增加招募志願士兵，以減少徵集義務役士兵。(A)36歲　(B)37歲　(C)38歲　(D
• 【題組】(d). Calculate Ecell (V)at 298K when = 2.0 M, [H⁺] = 1.0 M, [I⁻] = 1.0 M, = 1.0 x M.
• 二、計算題： 1.BBB Company purchases an oil tanker depot by cash on January l, 2015, at a cost of $300,000
• 【題組】(b) Prepare any journal entries required for the depot and the environmental liability on Decemb
• 【題組】(c) On December 31, 2024, BBB pays a demolition firm to dismantle the depot and remove the tanks
• 9. (7 points) Given a set S of n numbers, the k-partition problem is to determinewhether or not S ca
• 10. (4 x 2 points) True or False Questions. If your answer is False, please brieflyjustify.(No point
• 【題組】(b) Merge Sort has worst-case time complexity O(n log n), while the worst-casetime complexity of
• 【題組】(c) Searching a specific key in a binary search tree takes O(log n) time, where nis the number o
• 【題組】(d) Given the pre-order and level-order traversal sequences, we can construct aunique binary tre
• 11. (2x4 points) Given the AVL tree below, please answer the followingsub-problems.【題組】(a) Please se
• 2.During 2015, GGG Co.'s first year of operations, the company reports pretax financial income
• 2. Verify that , for primitivestatements , and .
• 3.Please select the right following description  (A) = and have the same eigenvalues.(B) If matrix
• 【題組】(b) What is its BFS traversal result? (10)(A) +a* -dbc (B)atb-c*dT(C) abc-d*+T (D) +a* -bcd