Question: 1. Consider two algorithms with running times 2n2 and 256nlog(n), respectively. Which algorithm is better for large inputs? Starting from what value of n that

 1. Consider two algorithms with running times 2n2 and 256nlog(n), respectively.

Which algorithm is better for large inputs? Starting from what value of

1. Consider two algorithms with running times 2n2 and 256nlog(n), respectively. Which algorithm is better for large inputs? Starting from what value of n that algorithm becomes better than the other algorithm? 2. You are given a binary search tree. How to find its third largest element? 3. Triangle is a complete graph on 3 vertices (see below) You are given a graph G, and you need to calculate the number of triangles contained in G. Develop an efficient algorithm to solve this problem. What is its running time? Explain your answer 4. You are given a set of ABC cubes for kids (like the one shown below) anda word. On each side of each cube a letter is written 7 You need to find out, is it possible to form a given word by the cubes? For example, suppose that you have 5 cubes: B1: M XTUAS B2: O Q ATGE

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