Implement Large Integer Multiplication algorithm (Slide 28 of lecture ch5-divide-
conquer lecture note). Modify your algorithm so that it divides each n-digit integer into
three smaller integers of n/3 digits. Your programs should take an input variable n (=6k
where k is a positive integer) in the Linux command line and generate two n-digit random
integers (the most significant digit is between 1 and 9, not 0), A and B. Compute A*B
using original algorithm discussed in class and the algorithm you modified. Please make
sure that you get the same results for the two algorithms. Print the results, if correct. No
credit will be given if the algorithm is incorrectly implemented, the time complexity of
your program is higher than O(n 2 ), or your program only works for specific k values.
large_integer prod (large_integer u, large_integer v)
{
large_integer x, y, w, 2;
int n, m;
n= marimum(number of digits in u, number of digits in v)
if (u==0||v== 0)
return 0;
else if (n <= threshold)
return u * v obtained in the usual way;
elsef
m= [n/2];
x= u divide 10^m; y= u rem 10^m;
W= U divide 10^m; z = v rem 10^m;
return prod(x,w) * 10^m2 + (prod(x,z) + prod(w,y)) * 10^m+prod(y,2);
}
}
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I understand that you are looking for someone to modify Large Integer Multiplication algorithm (Slide 28 of lecture ch5-divide-conquer), so that it can divide each n-digit integer into three smaller integers of n/3 digits. Your programs must take an input variable n (=6k where k is a positive integer) in the Linux command line and generate two n-digit random integers (the most significant digit is between 1 and 9, not 0), A and B. Compute A*B using the original algorithm discussed in class and the algorithm you modified.
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