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Category: Uncategorized

[Solved]: Shortest walk that covers $k$ nodes

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I have the following problem, I would like to know an efficient algorithm to solve it. Suppose I have a weighted graph $G$ and a set of vertices $K$, I want to find a walk which starts at a Read More …

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[Solved]: If Halting problem is decidable, are all RE languages decidable?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Assume the halting problem was decidable. Is then every recursively enumerable languagerecursive? Asked By : umang Answered By : Peter While we know for sure that the halting problem is (and always will be) undecidable by a Turing machine, we can Read More …

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[Solved]: Logical Reduction

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Reducing one computable problem to another by providing an algorithm which transforms an instance of one problem to one of the other (and limiting the time or space of that algorithm) is clear to me. However, I fail to Read More …

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[Solved]: Is the set-partition problem polynomial time reducible to the subset-sum problem?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: There are many solutions on the web showing that the subset-sum problem is polynomial time reducible to the set-partition problem. However, during my search, I came across the following powerpoint presentation (slide 12), where it says that the inverse Read More …

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[Solved]: Regarding the height of a recursion tree on dynamic programming

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I am trying to understand dynamic programming and I am watching this mit video. If you guys could take some time out , can you refer to the slide on 41:36 . Why is the height m+n. I just Read More …

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[Solved]: Deterministic and randomized communication complexity of set equality

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Two processors $A, B$ with inputs $a in {0, 1}^n$ (for $A$) and $b in {0, 1}^n$ (for $B$) want to decide whether $a = b$. $A$ does not know $B$’s input and vice versa. A can send a Read More …

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[Solved]: Difficulty understanding pre-emptive vs non-preemptive CPU scheduling

February 3, 2017March 27, 2017 ignougroup

Problem Detail: I’m having difficulty understanding what my book is trying to say in regards to preemptive and non-preemptive CPU scheduling. It says the following: CPU Scheduling decisions may take place under the following four circumstances: When a process switches from Read More …

Uncategorized

[Solved]: Tree flattening with layout guarantees

February 3, 2017 ignougroup

Problem Detail: I want to flatten a binary tree into a linear array, and I wonder if there are specific algorithms to improve locality in the linearized representation (for instance, ensuring that all data from the left child of the root Read More …

Uncategorized

[Solved]: Does a shift operation distribute over XOR

February 3, 2017 ignougroup

Problem Detail: In this question, we abuse the mathematical notation to express bitwise operations in the following way: $ll$ is a binary left shift $oplus$ is a bitwise XOR $0b1, 0b110, 0b10 ldots$ are used to denote raw bits $repr$ is Read More …

Uncategorized

[Solved]: How can I check that the language of one context-free grammar is a subset of a second context-free grammar?

February 3, 2017March 27, 2017 ignougroup

Problem Detail: Could you explain me, how can I check, that the language of first context-free grammar (G1) is a subset of the language of second context-free grammar (G2). G1 and G2 are two LL(1) grammars with identical alphabets: {a, b, Read More …

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