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Author: ignougroup

Constructing a binary tree with given traversals

January 13, 2017 ignougroup

Question Detail: I have given a post order & in order traversal a BST & I need to construct it. I want to know how to do this. for eg. Post Order : DCBGFEA In Order : BDCAFGE This is how Read More …

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Given the logical address, how to extract the page number?

January 13, 2017 ignougroup

Question Detail: I am studying Computer Systems. I have th following question and its answer: Given the logical address 0xAEF9 (in hexadecimal) with a page size of 256 bytes, what is the page number? Answer: 0xAE (I found this answer in Read More …

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Left-Factoring a grammar into LL(1)

January 13, 2017March 15, 2018 ignougroup

Question Detail: I have a homework assignment where I need to convert a grammar into LL(1). I’ve already removed the left recursion, but I’m having trouble doing left-factoring. All of the examples I’ve found are simple, and look something like this: Read More …

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How to fool the “try some test cases” heuristic: Algorithms that appear correct, but are actually incorrect

January 13, 2017March 15, 2018 ignougroup

Question Detail: To try to test whether an algorithm for some problem is correct, the usual starting point is to try running the algorithm by hand on a number of simple test cases — try it on a few example problem Read More …

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How does the 3-opt algorithm for TSP work?

January 13, 2017March 15, 2018 ignougroup

Question Detail: I understand that the 3-Opt Heuristic for solving the Traveling Salesman problem involves removing three edges from a graph and adding three more to recomplete the tour. However, I’ve seen many papers that mention that when three edges are Read More …

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Maximum number of nodes with height h

January 13, 2017March 15, 2018 ignougroup

Question Detail: How is $frac{n}{2^{h+1}}$ the maximum possible number of nodes at height $h$ for a binary search tree or heap tree? I saw this as proof to asymptotically bound the build_heap function in the book, but I don’t get it. Read More …

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DFA for exactly two of a and one or more of b

January 13, 2017March 15, 2018 ignougroup

Question Detail: I’m totally new to DFA’s and automaton in general — this is the first week or two of class that I’ve actually seen this — and I’m curious as to a pattern to match the following: “Match the set Read More …

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What is the most efficient way to compute factorials modulo a prime?

January 13, 2017March 15, 2018 ignougroup

Question Detail: Do you know any algorithm that calculates the factorial after modulus efficiently? For example, I want to program: for(i=0; i<5; i++) sum += factorial(p-i) % p; But, p is a big number (prime) for applying factorial directly $(p leq Read More …

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How to show that a function is not computable?

January 13, 2017March 15, 2018 ignougroup

Question Detail: I know that there exist a Turing Machine, if a function is computable. Then how to show that the function is not computable or there aren’t any Turing Machine for that. Is there anything like a Pumping lemma? Asked Read More …

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What are the reasons to learn different algorithms / data structures serving the same purpose?

January 13, 2017March 15, 2018 ignougroup

Question Detail: I have been wondering about this question since I was an undergraduate student. It is a general question but I will elaborate with examples below. I have seen a lot of algorithms – for example, for maximum flow problems, Read More …

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