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Problem 3 : 1 . For each of the following algorithms, in 2 . dicate ( i ) a natural size metric for its inputs,
Problem :
For each of the following algorithms, in
dicate ia natural size metric for its
inputs, iiits basic operation, and iiiwhether the basic operation count can
be different for inputs of the same size:
acomputing the sum of n numbers
bcomputing n
cfinding the largest element in a list of n numbers
dEuclids algorithm
esieve of Eratosthenes
fpenandpencil algorithm for multiplying two ndigit decimal integers
Problem
aConsider the definitionbased algorithm for adding two n times n matrices.
What is its basic operation? How many times is it performed as a function
of the matrix order nAs a function of the total number of elements in the
input matrices?
bAnswer the same questions for the definitionbased algorithm for matrix
multiplication.
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