5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.
procedure gcd(a, b)
if a b then gcd(a, b) := = gcd (b, a)
else if a = 0 then gcd (a, b) = b
else if a = 1 then gcd (a, b) :
:=1
else if a and b are even then gcd(a, b) 2gcd(a/2, b/2) := else if a is odd and b is even then gcd(a, b) := gcd(a, b/2)
else gcd(a, b) := gcd(a, b - a)
Use this algorithm to compute
(a) gcd(124, 244)
(b) gcd (4424, 2111).u
Answers
Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.
The program implementation is given below and the output of the sample run is attached.
def gcd(a, b):
#initialize a function named gcd which takes in two parameters
if a>b:
#checks if a is greater than b
return gcd (b, a)
#if true interchange the Parameters and Recall the function
elif a == 0:
return b
elif a == 1:
return 1
elif((a%2 == 0)and(b%2==0)):
#even numbers leave no remainder when divided by 2, checks if a and b are even
return 2 * gcd(a/2, b/2)
elif((a%2 !=0) and (b%2==0)):
#checks if a is odd and B is even
return gcd(a, b/2)
else :
return gcd(a, b-a)
#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied
print(gcd(124, 244))
print()
#leaves a space after the first output
print(gcd(4424, 2111))
Learn more :https://brainly.com/question/25506437
Related Questions
You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?
Answers
Answer:
You need 1 cup of sugar.
Step-by-step explanation:
16/20 = 4/5
1 1/4 = 5/4
5/4 x 4/5 = 1
You need 1 cup of sugar.
d = 10.2 ft, r = 0.5 ft/h
Answers
Answer:
20.4
Step-by-step explanation:
If you are using D = r × t
10.2 = 0.5(t)
10.2/0.5 = t
20.4 = t
Answer:
20.4
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
(x-1) (x-4) is the answer
Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Answers
Answer:
D. 213Step-by-step explanation:
The number of black pieces is 5 more than 3 times the white pieces:
b = 3w + 5Let the number of rounds is x.
Initial number of white nd black pieces:
w = 7x + 3b = 15x + 56Substitute the values of b and w into first equation and find the value of x:
15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7Find the number of pieces:
w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213Correct choice is D
Answer:
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2
Answers
To find the equation of a regression line, ý = ax + b, you need these formulas:
8=13
--
b= y - az
S
A regression line has a slope of 2.334. If the mean of the x-coordinates of the
data points is 6.607, and the mean of the y-coordinates is 10.738, what is the
y-value of the y-intercept of the line to three decimal places?
A. -18.455
B. -4.683
C. 4.683
D. 18.455
Answers
Answer:-4.683
Step-by-step explanation:
Took the test
There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen
Answers
Answer:
45
Step-by-step explanation:
This is a combination question: how many ways can you pick 2 people from a group of 10?
Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...
[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]
please i need help
How many rows of seats are inside the theater? Enter your answer in the box.
Answers
Answer:
24 rows
Step-by-step explanation:
384 seats in total, and 16 chairs in a row, so 384/ 16=
24 rows
Hope this helps!
LMK if it does
p l s… h e l p… m e…
Match the unknown entries in the two matrices with their correct values
Answers
Answers:
v = 54y = 0u = 6w = -48x = -1===================================================
Explanation:
The left hand side is
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}[/tex]
That -6 outside the matrix is multiplied with each item inside the matrix. This is known as scalar matrix multiplication. Effectively, it's very similar to the idea of the distributive property.
So for the first row, we have the three columns of: -6*3 = -18 and -6*(-1) = 6 and -6*3 = -18
The other two rows are handled the same way. This is what should result:
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}= \begin{bmatrix}-18 & 6 & -18\\-48 & -6x & 54\\-24 & 6 & -6y\end{bmatrix}[/tex]
From here, you'll then match up the terms in the given right hand side matrix. The top row has the variable 'u' in the middle, which matches with the '6' in the middle of the top row shown. Therefore, u = 6.
-----------------------------
Now to the second row.
The -48 in the first spot pairs up with the w in the other matrix. So we can see that w = -48. Similarly, we have v = 54.
Also, we have -6x in the middle which matches with the 6 in the same corresponding spot. Solving -6x = 6 leads to x = -1.
-----------------------------
Finally, the third row.
There's only one variable here and that's the variable y in the bottom right corner. It pairs up with 0 in the same corresponding spot for the right hand side matrix. Therefore, y = 0.
Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost 5.60 each how many batteries can samuel buy
Answers
Answer:
i cannot answer this because i do not know hw much money he has made.
Step-by-step explanation:
I need a help.... thankyouu to those who can ans. this:))
A. BSA Method
B. Clark's Rule
(20 points)
Answers
A
Step-by-step explanation:
just trust me that is the correct answer
Q
1). 20² + 20^2
nt : I from is Indonesian
Answers
Answer:
[tex]\red{\rule{4pt}{700000pt}}[/tex]
Step-by-step explanation:
hi
An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?
60 + 35h
Answers
The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:
Answer: 60h + 35
What is the answer I’m so stuck on this one
Answers
the answer is B
P/s : i use my calculator
ok done. Thank to me :>
Option A is the answer
Please help if you can!
Answers
Answer:
-3
Step-by-step explanation:
that’s where the line intercepts with the y axis
Answer:
-3,0 is y intercept good luck
What is the proper order of function of 2+5(8-5)
Answers
Answer:
17
Step-by-step explanation:
2+5×3
2+15
17
Emily sells her books through Amazon. She makes a profit of $3 per book sale, however, she needs to pay $6 to Amazon Pay in fees for using their app. How many books would she need to sell to make a profit of at least $120 per day?
Answers
Answer:
Step-by-step explanation:
ASSUMING the usage fees are daily fees
120 = 3x - 6
126 = 3x
x = 42 books
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answers
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
7x+3y=m, solve for y
Answers
We need to subtract 7x on both sides
Then divide the entire thing by 3
F(x) = x - 3√×
graph this function
Answers
Y intersects: (0, -square root of 3)
Math experts please simplify this thank you
Answers
Answer:
t+4 / t-4
Step-by-step explanation:
(t^2 - 16) / (t^2 -8t +16)
=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)
by formula a^2 - b^2 = (a+b)(a-b)
= (t+4)(t-4) / (t-4)^2
= (t+4)(t-4) / (t-4)(t-4)
= t+4 / t-4
A sunflower is 13 inches tall and grows 41 inches each month. The
sunflower's height is a linear function of time. Which statement best
describes the rate of change and initial value of this function?
A. The rate of change is the number of inches grown per month, and
the initial value is the first month.
B. The rate of change is the number of inches grown per month, and
the initial value is the starting height.
C. The rate of change is the starting height, and the initial value is the
number of inches grown per month.
D. The rate of change is the number of months per inch grown, and
the initial value is the first month.
Answers
Answer:The rate of change is the number of inches grown per month, and
the initial value is the starting height.
Step-by-step explanation:
The rate of change is the starting height, and the initial value is the
number of inches grown per month.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept
Given,
A sunflower is 13 inches tall and grows 41 inches each month.
The sunflower's height is a linear function of time.
A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
y=13+41x.
Here x represents the number of months
13 is the initial height of the sunflower.
In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes the rate of change and initial value of this function
Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
100÷5+25×3=
AYUDAA ES PARA HOYYY
Answers
Answer:
95
Step-by-step explanation:
100 divided by 5 plus 25 times 3 is 95 :)
100/5=20
25x3=75
75+20=95
95
Identify this function
f (x) =x
Answers
Answer:
linear
Step-by-step explanation:
A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Answers
Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3
Answers
Answer:
It's a minimum, at (8, -3)
Step-by-step explanation:
Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.
Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3
reposting this again because the first time didn’t work (please help!)
Answers
Answer:
I still can't open the file or I can't see it
Step-by-step explanation:
The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4
What is the slope of the line represented by the values in the table?
Answers
Hope this helps!! :)
Convert 101100 2 to decimal
Answers
Answer:
The answer is 101100
Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).
Answers
(f o h)(-1) = ...
= f(h(-1))
= f(-1 + 2)
= -2(-1 + 2) - 1
= 2 - 4 - 1
= -2 - 1
= -3