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how many weighings of a balance scale are needed to find a counterfeit coin among 12 coins if the counterfeit coin is
one of four coins may be counterfeit if it is counterfeit it may be lighter or heavier than the others how many
assuming that n the number of elements to be sorted equals 2k for some positive integer k determine the number of
use huffman coding to encode these symbols with given frequencies a 010 b 025 c 005 d 015 e 030 f 007 g 008 what is the
a use huffman coding to encode these symbols with frequencies a 04 b 02 c 02 d 01 e 01 in two different ways by
suppose that in a variation of the game of nim we allow a player to either remove one or more stones from a pile or
draw the game tree for the game of tic-tac-toe for the levels corresponding to the first two moves assign the value of
decision analysis please respond to the followingcompare the primary strengths and weaknesses of cost-benefit analysis
a how many edges does a tree with n vertices haveb what do you need to know to determine the number of edges in a
a define a rooted tree and the root of such a treeb define the parent of a vertex and a child of a vertex in a rooted
a what is the height of a rooted treeb what is a balanced treec how many leaves can an m-ary tree of height h
a what is a binary search treeb describe an algorithm for constructing a binary search treec form a binary search tree
a define preorder in order and post order tree traversalb give an example of preorder post order and in order traversal
a explain how to use preorder in order and post order traversals to find the prefix infix and postfix forms of an
a what is a spanning tree of a simple graphb which simple graphs have spanning treesc describe at least two different
a describe two different algorithms for finding a spanning tree in a simple graphb illustrate how the two algorithms
a explain how backtracking can be used to determine whether a simple graph can be colored using n colorsb show with an
a what is a minimum spanning tree of a connected weighted graphb describe at least two different applications that
a describe kruskals algorithm and prims algorithm for finding minimum spanning treesb illustrate how kruskals algorithm
show that every forest can be colored using two colors a b-tree of degree k is a rooted tree such that all its leaves
devise an algorithm for constructing a rooted tree from the universal addresses of its leaves a cut set of a graph is a
show that if every circuit not passing through any vertex other than its initial vertex more than once in a connected
find a degree-constrained spanning tree of the given graph where each vertex has degree less than or equal to 3 or show
suppose that in a long bit string the frequency of occurrence of a 0 bit is 09 and the frequency of a 1 bit is 01 and
compare the number of comparisons needed to sort lists of n elements for n 100 1000 and 10000 from the set of positive