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Category: Uncategorized

[Solved]: Why is $sum_{j=0}^{lfloorlog (n-1)rfloor}2^j$ in $Theta (n)$?

February 18, 2017March 27, 2017 ignougroup

Problem Detail: I am trying to understand summation for amortization analysis of a hash-table from a MIT lecture video (at time 16:09). Although you guys don’t have to go and look at the video, I feel that the summation he does Read More …

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[Solved]: How many possible assignments does a CNF sentence have?

February 18, 2017March 27, 2017 ignougroup

Problem Detail: I’m having some trouble understanding the following: When we look at satisfiability problems in conjunctive normal form, an underconstrained problem is one with relatively few clauses constraining the variables. For eg. here is a randomly generated 3-CNF sentence with Read More …

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[Solved]: regular expression: sum of positive fixed point decimal numbers

February 18, 2017March 27, 2017 ignougroup

Problem Detail: I need help with this exercise. Indicate the regular expression for the following Languages. Explain your expression in one sentence and indicate the basis form of the alphabet. Indicate also every assumption you make. i) Sums of positive fixed-point Read More …

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[Solved]: Difference between edges in Depth First Trees

February 18, 2017March 27, 2017 ignougroup

Problem Detail: I have a directed graph, where each node has an alphabetical value. The graph is to be traversed with topological DFS by descending alphabetical values (Z-A). The result is $M,N,P,O,Q,S,R,T$ (after reversing). Several DFS trees are created during this Read More …

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[Solved]: Minimax algorithm when all the options are the same

February 18, 2017March 27, 2017 ignougroup

Problem Detail: tl;dr What does the Minimax algorithm do when all its options are the same? Consider this Minimax tree: (Green means the ends, orange minimize, blue maximize) (Source: Myself) Imagine this is the tree for a game (tic-tac-toe, maybe?). What Read More …

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[Solved]: Are there more partially recursive functions than and recursive functions?

February 18, 2017March 27, 2017 ignougroup

Problem Detail: Is the cardinality of the set of partially recursive functions greater than the cardinality of the set of recursive functions ? Asked By : chgsilva Answered By : lPlant No they have the same cardinality. They have the cardinality $aleph_0$. Both Read More …

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[Solved]: Longest path in a cyclic, directed and weighted graph

February 18, 2017March 27, 2017 ignougroup

Problem Detail: I am looking for the longest simple path in a directed, cyclic and weighted graph with positive and negative weights. In my research so far I have found out that you need to generate -G from graph G and Read More …

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[Solved]: AND operator of many functions

February 18, 2017March 27, 2017 ignougroup

Problem Detail: Suppose we have a set of functions $f_i: mathbb Z rightarrow {0,1}, i=1, dots,n $, with the following property: For each $i =1,dots ,n$, there exists an $xin mathbb Z$ such that $f_i(x)=0$ and $f_j(x)=1$ for each $jin {1,dots,i-1,i+1,dots,n}$. Read More …

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[Solved]: How to optimize a function by maximizing 1 variable and minimizing another?

February 18, 2017March 27, 2017 ignougroup

Problem Detail: Problem I want to implement an optimization algorithm for my file transfer program. The program buffers data in a local file before uploading to central server periodically and it compresses the files before transferring. I would want the program Read More …

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[Solved]: Check if adding an edge to a DAG results in a cycle

February 18, 2017March 27, 2017 ignougroup

Problem Detail: On the begining: It is a programming contest problem, but not from on-going one. Unfortunatelly, I can’t provide any link to this task, because it is not publically available. It was from one of the Polish local programming contest Read More …

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