(1 point) The extended Euclidean algorithm computes the gcd of two integers ro and r1 as a linear combination of the inputs. gcd(ro, r1) = s ro + tr₁ Here s and t are integers known as the Bezout coefficients. They are not unique. The algorithm works like the standard Euclidean algorithm, except that at each stage the current remainder ri is expressed as a linear combination of the inputs. ri == = Siro + tir₁. This produces a sequence of numbers r0, r1, . . ., rn−1, rn where rn Suppose that ro = 88 and r1 = = 49. = 0 and gcd (ro, 1) = rn−1· Give the sequence r0, r1, · · · numbers. , rn-1, rn in the blank below. Enter your answer as a comma separated list of . 88,49,39,10,9,1,0 What is GCD(88,49)? 1 What is s? What is 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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provide the correct answer to s and t

(1 point) The extended Euclidean algorithm computes the gcd of two integers ro and r1 as a linear
combination of the inputs.
gcd(ro, r1) = s ro + tr₁
Here s and t are integers known as the Bezout coefficients. They are not unique.
The algorithm works like the standard Euclidean algorithm, except that at each stage the current remainder ri
is expressed as a linear combination of the inputs.
ri
==
= Siro + tir₁.
This produces a sequence of numbers r0, r1, . . ., rn−1, rn where rn
Suppose that ro
= 88 and r1
=
= 49.
=
0 and gcd (ro, 1) = rn−1·
Give the sequence r0, r1, · · ·
numbers.
, rn-1, rn in the blank below. Enter your answer as a comma separated list of
.
88,49,39,10,9,1,0
What is GCD(88,49)?
1
What is s?
What is t?
Transcribed Image Text:(1 point) The extended Euclidean algorithm computes the gcd of two integers ro and r1 as a linear combination of the inputs. gcd(ro, r1) = s ro + tr₁ Here s and t are integers known as the Bezout coefficients. They are not unique. The algorithm works like the standard Euclidean algorithm, except that at each stage the current remainder ri is expressed as a linear combination of the inputs. ri == = Siro + tir₁. This produces a sequence of numbers r0, r1, . . ., rn−1, rn where rn Suppose that ro = 88 and r1 = = 49. = 0 and gcd (ro, 1) = rn−1· Give the sequence r0, r1, · · · numbers. , rn-1, rn in the blank below. Enter your answer as a comma separated list of . 88,49,39,10,9,1,0 What is GCD(88,49)? 1 What is s? What is t?
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