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using 0 for a 1 for b and so on let the numbers from 0 to 25 stand for the letters of the alphabet in this way convert
the formula for the number of multisets is n k - 1 divided by a product of two other factorials we seek an explanation
write pseudocode to decode a message that has been encoded using the algorithmbull take three consecutive lettersbull
bob and alice want to choose a key they can use for cryptography but all they have to communicate is a bugged phone
write and run on several different inputs a program to implement euclids extended gcd algorithm be sure to return x and
the least common multiple of two positive integers x and y is the smallest positive integer z such that z is an integer
write and implement code to do rsa encryption and decryption use it to send a message to someone else in the class you
a gigabyte is one billion bytes a terabyte is one trillion bytes a byte is eight bits each a zero or a 1 since 210
the relation of congruence modulo n is the relation equiv defined by x equiv y mod n if and only if x mod n y mod na
write down the definition of a greatest common divisor of m and n in such a way that all quantifiers are explicit and
suppose the universe for a statement px is the integers from 1 to 10 express the statement forallxpx without any
in chapter 1 we learned gausss trick for showing that for all positive integers nuse the technique of asserting that if
find the error in the following proof that all positive integers n are equal let pn be the statement that all numbers
we have proved that every positive integer is a power of a prime number or a product of powers of prime numbers show
our arguments in favor of the sum principle were quite intuitive in fact the sum principle for n sets follows from the
at the end of each year a state fish hatchery puts 2000 fish into a lake the number of fish in the lake at the
consider the recurrence tn3tn - 1 1 with the initial condition that t0 2 we know that we could write the solution
when someone is paying off a loan with initial amount a and monthly payment m at an interest rate of p percent the
recall that in the towers of hanoi problem we have three pegs numbered 1 2 and 3 and on one peg we have a stack of n
what is a recurrence for the running time of select1 hint how could exercise 46-3 help youexercise 3let tn be the
how do you find the minimum i 1 or maximum i n in a set what is the running time how do you find the second smallest
are the following two events equally likely event 1 consists of drawing an ace and a king when you draw two cards from
how many five-card hands chosen from a standard deck of playing cards consist of five cards in a row such as the nine
two pennies a nickel and a dime are placed in a cup and a first coin and a second coin are drawna assuming we are
if we hash 3 keys into a hash table with ten slots what is the probability that all three keys hash to different slots