1. Tracing an algorithm means reading it as if you were a computer running the instructions keeping track of values in variables at each iteration of a loop. Trace the following Extended Euclidean Algorithm starting with the initial values of n = 1234 and m = 357. NOTE: The div operator is integer division that gives you a whole number i.e. round down. For example: 25 div 10 = 2. i 0 1 2 3 4 5 6 7 8 9 procedure Extended Euclidean(n, m: positive integers) i:=0 rn 9 0 s_prev = 1 S: 0 t_prev:= 0 t: 1 print i, r, q, s_prev, t_prev r_prev=r r:=m while r>0 i=i+1 q=r_prev div r print i, r, q, s, t temp_r:=r temp_s:=s temp_t:= t r=r_prev-r.q s:=s_prev-s.q t: t_prev-t.q r_prev:= temp_r s_prev:= temp_s t_prev:= temp_t return r, s, t r 9 S t
1. Tracing an algorithm means reading it as if you were a computer running the instructions keeping track of values in variables at each iteration of a loop. Trace the following Extended Euclidean Algorithm starting with the initial values of n = 1234 and m = 357. NOTE: The div operator is integer division that gives you a whole number i.e. round down. For example: 25 div 10 = 2. i 0 1 2 3 4 5 6 7 8 9 procedure Extended Euclidean(n, m: positive integers) i:=0 rn 9 0 s_prev = 1 S: 0 t_prev:= 0 t: 1 print i, r, q, s_prev, t_prev r_prev=r r:=m while r>0 i=i+1 q=r_prev div r print i, r, q, s, t temp_r:=r temp_s:=s temp_t:= t r=r_prev-r.q s:=s_prev-s.q t: t_prev-t.q r_prev:= temp_r s_prev:= temp_s t_prev:= temp_t return r, s, t r 9 S t
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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