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Cryptography One way to encode a message is to assign a numerical value to each letter of the alphabet and encode the message by assigning each number to a new value using a mathematical relation.
a. Does the encoding relation have to be a function? Explain.
b. Why should the graph of the encoding function pass the horizontal line test?
c. Suppose a value was assigned to each letter of the alphabet so that
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1. Generalize the preceding exercise to obtain a k-d heap, in which each item can have k individual keys. You should be able to obtain the following bounds: insert in O(log N), deleteMin in O(2k log N), and buildHeap in O(kN). 2. Show that the k-d he..
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