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Problem 3E (15 points) Show the steps performed by Multiplication la russe algorithm (Russian Multiplication) to compute the product of 19 and 21 Give a

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Problem 3E (15 points) Show the steps performed by Multiplication la russe algorithm (Russian Multiplication) to compute the product of 19 and 21 Give a pseudo-code for a function RusseMult (n, m) that implements this algorithm recursively to compute the product of integers n and m. What is the recurrence relation of C(n), the cost required to multiply numbers n and m? Assume that the basic operation cost of multiplication and division is the same and there is no cost of addition. Note the recurrence relation only depends on n (and not on m). Clearly indicate the initial condition for the recurrence relation. Solve the recurrence relation. Clearly state any assumption you make when solving the recurrence relation and indicate the ith step in backward substitution

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