Python Answers

Temperature Conversion

You are given the temperature T of an object in one of Celsius, Fahrenheit, and Kelvin scales.

Write a program to print T in all scales viz Celsius, Fahrenheit, and Kelvin.

Formula to convert from Fahrenheit F to Celsius C is C = (F - 32) * 5 / 9.

Formula to convert from Kelvin K to Celsius C is C = K - 273.

Here "C", "F", "K" represent that the temperature scale is in Celsius, Fahrenheit and Kelvin scales respectively.

The input contains the temperature (a number) and the unit of the temperature scale (C, F, K) without any space.

The output contains temperature in Celsius, Fahrenheit and Kelvin scales in each line in the format similar to input and the value of the temperature is rounded to 2 decimal places.Input

The first line of the input contain a temperature Value in one of Celsius, Fahrenheit, and Kelvin scales.Output

The first line of output should contain the Celsius value and the unit of the Celsius without any space.

The second line of output should contain the Fahrenheit value and the unit of the Fahrenheit without any space.

The third line of output should contain the Kelvin value and the unit of the Kelvin without any space.Explanation

For example, if the given temperature Value is 25C then Celsius value is 25.0C, Fahrenheit value is 77.0F, and Kelvin value is 298.0K.

Sample Input 1

25C

Sample Output 1

25.0C

77.0F

298.0K

Sample Input 2

37.5F

Sample Output 2

3.06C

37.5F

276.06K

Given polynomial, write a program that prints polynomial in Cix^Pi + Ci-1x^Pi-1 + .... + C1x + C0 format.

Input

The first line contains a single integer N.

Next N lines contain two integers Pi, Ci separated with space, where Pi denotes power and Ci denotes coefficient of Pi.

Output

Print the polynomial in the format Cix^Pi + Ci-1x^Pi-1 + .... + C1x + C0, where Pi's are powers in decreasing order, Ci is coefficient, and C0 is constant. There will be space before and after the plus or minus sign.

If the coefficient is zero, then don't print the term.

If the term with the highest degree is negative, the term should represent -Cix^Pi.

For the term where power is 1, represent it as C1x instead of C1x^1.

If the polynomial degree is zero and the constant term is also zero, then print 0 to represent the polynomial.

For term Cix^Pi, if the coefficient of the term Ci is 1, print x^Pi instead of 1x^Pi.

Constraints

N <= 100

0 <= Pi < 1000

-1000 <= Ci <= 1000

Sample Input

5

0 2

1 3

2 1

4 7

3 6

Output:

7x^4 + 6x^3 + x^2 + 3x + 2

You are given a square matrix A of dimensions NxN. You need to apply the below given 3 operations on matrix A.

Rotation: It is represented as R S where S is an integer in {90, 180, 270, 360, 450, ...} which denotes the number of degrees to rotate. You need to rotate matrix A by angle S in the clockwise direction. The angle of rotation(S) will always be in multiples of 90 degrees.

Update: It is represented as U X Y Z. In initial matrix A (as given in input), you need to update the element at row index X and column index Y with value Z.

After the update, all the previous rotation operations have to be applied to the updated initial matrix.

Querying: It is represented as Q K L. You need to print the value at row index K and column index L of the matrix A.

Input:

The first line contains a single integer N.

Next N lines contain N space-separated integers Aij (i - index of the row, j - index of the column).

Next lines contain various operations on the array. Each operation on each line (Beginning either with R, U or Q).

-1 will represent the end of input.

Output:

For each Query operation print the element present at row index K and column index L of the matrix in its current state.

Sample Input:

2

5 6

7 8

R 90

Q 0 1

R 270

Q 1 1

R 180

U 0 0 4

Q 0 0

-1

Sample Output:

5
8
8

Given an MxN matrix, write a program to print all Anti-Diagonals elements of the matrix

Input:

The first line of input will contain M, N values separated by space.

The second line will contain matrix A of dimensions MxN.

Output:

The output should contain anti-diagonal elements separated by a line.

Sample Input 1:

2 3

1 5 5

2 7 8

Output:

1
5 2
5 7
8

Sample Input 2:

3 4

1 2 3 4

5 6 7 8

9 10 11 12

Output:

1
2 5
3 6 9
4 7 10
8 11
12

Days Conversion
Given a number of days (N) as input, write a program to convert N to years (Y), weeks (W), and days (D).
Input

The input will be a single line containing a positive integer (N).
Output

The output should be a single line containing years, weeks, days values separated by spaces.
Explanation

For example, if the given number of days (N) is  1329.
1329 = 365*3 + 33*7 + 3
So the output is 3 years 33 weeks 3 days
Sample Input 1
1329
Sample Output 1
3 years 33 weeks 3 days

Sample Input 2
960
Sample Output 2
2 years 32 weeks 6 days

Matrix Rotations

You are given a square matrix A of dimensions NxN. You need to apply the below given 3 operations on the matrix A.

Rotation: It is represented as R S where S is an integer in {90, 180, 270, 360, 450, ...} which denotes the number of degrees to rotate. You need to rotate the matrix A by angle S in the clockwise direction. The angle of rotation(S) will always be in multiples of 90 degrees.

Update: It is represented as U X Y Z. In initial matrix A (as given in input), you need to update the element at row index X and column index Y with value Z.

After the update, all the previous rotation operations have to be applied to the updated initial matrix.

Querying: It is represented as Q K L. You need to print the value at row index K and column index L of the matrix A. Input

The first line contains a single integer N.

Next N lines contain N space-separated integers Aij (i - index of the row, j - index of the column).

Next lines contain various operations on the array. Each operation on each line (Beginning either with R, U or Q).

-1 will represent the end of input.Output

For each Query operation print the element present at row index K and colum index L of the matrix in its current state.Explanation

For Input:

2

1 2

3 4

R 90

Q 0 0

Q 0 1

R 90

Q 0 0

U 0 0 6

Q 1 1

-1

Initial Matrix

1 2

3 4

For R 90, clockwise rotation by 90 degrees, the matrix will become

3 1

4 2

For Q 0 0, print the element at row index 0 and column index 0 of A, which is 3.

For Q 0 1, print the element at row index 0 and column index 1 of A, which is 1.

Again for R 90, clockwise rotation by 90 degrees, the matrix will become

4 3

2 1

For Q 0 0, print the element at row index 0 and column index 0 of A, which is 4.

For U 0 0 6, update the value at row index 0 and column index 1 in the initial matrix to 6. So the updated matrix will be,

6 2

3 4

After updating, we need to rotate the matrix by sum of all rotation angles applied till now(i.e. R 90 and R 90 => 90 + 90 => 180 degrees in clockwise direction).

After rotation the matrix will now become

4 3

2 6

Next for Q 1 1, print the element at row index 1 and column index 1 of A, which is 6.

output

3

1

4

6

Sample Input 1

2

1 2

3 4

R 90

Q 0 0

Q 0 1

R 90

Q 0 0

U 0 0 6

Q 1 1

-1

Sample Output 1

3

1

4

6

Sample Input 2

2

5 6

7 8

R 90

Q 0 1

R 270

Q 1 1

R 180

U 0 0 4

Q 0 0

-1

Sample Output 2

5

8

8

11

46

output:

Errors/Warnings:

Traceback (most recent call last):

 File "main.py", line 46, in <module>

  query(matrix, args)

 File "main.py", line 23, in query

  i, j = map(int, _args)

ValueError: too many values to unpack (expected 2)

Expected:

11

46

23

prefixes = 'JKLMNOPQ'

suffix = 'ack'

for letter in prefixes:

print(letter + suffix)

Put this code into a Python script and run it. Notice that it prints the names "Oack" and "Qack".

Modify the program so that it prints "Ouack" and "Quack" but leaves the other names the same.

Include the modified Python code and the output in your submission.

2. Give at least three examples that show different features of string slices. Describe the feature illustrated by each example. Invent your own examples. Do not copy them for the textbook or any other source.

Part 1

Encapsulate the following Python code from Section 7.5 in a function named my_sqrt that takes a as a parameter, chooses a starting value for x, and returns an estimate of the square root of a.

while True:

y = (x + a/x) / 2.0

if y == x:

break

x = y

Part 2

Write a function named test_sqrt that prints a table like the following using a while loop, where "diff" is the absolute value of the difference between my_sqrt(a) and math.sqrt(a).

a = 1 | my_sqrt(a) = 1 | math.sqrt(a) = 1.0 | diff = 0.0

a = 2 | my_sqrt(a) = 1.41421356237 | math.sqrt(a) = 1.41421356237 | diff = 2.22044604925e-16

a = 3 | my_sqrt(a) = 1.73205080757 | math.sqrt(a) = 1.73205080757 | diff = 0.0

a = 4 | my_sqrt(a) = 2.0 | math.sqrt(a) = 2.0 | diff = 0.0

a = 5 | my_sqrt(a) = 2.2360679775 | math.sqrt(a) = 2.2360679775 | diff = 0.0

a = 6 | my_sqrt(a) = 2.44948974278 | math.sqrt(a) = 2.44948974278 | diff = 0.0

a = 7 | my_sqrt(a) = 2.64575131106 | math.sqrt(a) = 2.64575131106 | diff = 0.0

a = 8 | my_sqrt(a) = 2.82842712475 | math.sqrt(a) = 2.82842712475 | diff = 4.4408920985e-16

a = 9 | my_sqrt(a) = 3.0 | math.sqrt(a) = 3.0 | diff = 0.0

Write a program to print the right alphabetic triangle up to the given N rows.

In this assignment, you will use all of the graphics commands you have learned to create an animated scene. Your program should have a clear theme and tell a story. You may pick any school-appropriate theme that you like.

The program must include a minimum of:

• 5 circles
• 5 polygons
• 5 line commands
• 2 for loops
• 1 global variable

You may wish to use the standard code for simplegui graphics below:

import simplegui

def draw_handler(canvas):

frame = simplegui.create_frame('Testing', 600, 600)
frame.set_canvas_background("Black")
frame.set_draw_handler(draw_handler)
frame.start()