Python Answers

Write a program that uses an initializer list to store the following set of numbers in an array named nums. Then, print the array.

14 36 31 -2 11 -6

Q.5

A queue is observed over 10000 one-second time intervals with data as given below in the array qdata.

Construct a Poisson nearest neighbour model with a single arrival and servicing pattern and hence answer the following questions:

1. What is the average time taken for 1 customer to arrive?
2. What is the average number of customer servicings per second?
3. What is your estimate for the equilibrium probability 𝑃(𝑛≥4)
4. P(n≥4), where 𝑛
5. n is the queue size in this model?
6. Suppose that two equivalent servers are introduced. What would the equilibrium probability 𝑃(𝑛≥4)
7. P(n≥4) then be?

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

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

Input

The first line of input will contain a 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.

Explanation

For example, if M = 4, N = 4

Matrix A:

Polynomial

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.

Explanation

If N = 4

For power 0, the coefficient is 5

For power 1, the coefficient is 0

For power 2, the coefficient is 10

For power 3, the coefficient is 6.

Then polynomial represents "6x^3 + 10x^2 + 5"

Constraints

N <= 100

0 <= Pi < 1000

-1000 <= Ci <= 1000

Sample Input

4

0 5

1 0

2 10

3 6

Sample Output

6x^3 + 10x^2 + 5

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.

Tic-Tac-Toe game

Abhinav and Anjali are playing the Tic-Tac-Toe game. Tic-Tac-Toe is a game played on a grid that's three squares by three squares. Abhinav is O, and Anjali is X. Players take turns putting their marks in empty squares. The first player to get 3 of her marks in a diagonal or horizontal, or vertical row is the winner. When all nine squares are complete, the game is over. If no player has three marks in a row, the game ends in a tie. Write a program to decide the winner in the Tic-Tac-Toe game.

Input

The input will be three lines contain O's and X's separated by space.

Output

The output should be a single line containing either "Abhinav Wins" or "Anjali Wins" or "Tie".

Explanation

For example, if the input is

O X O
O X X
O O X 

as three of O's are in vertical row print "Abhinav Wins".

Sample Input 1

O X O

O X X

O O X

Sample Output 1

Abhinav Wins

Sample Input 2

O O X

X X O

X O O

Sample Output 2

Anti-Diagonals

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

Input

The first line of input will contain a 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.

Create a python program using Loops (while or for loop) and if condition that will display 5 different kinds of fruits with price) and ask the user what to order( O- to take order)(N to terminate loop and display all the users order/s including the total price) . The program will request the user to input amount of money for the payment (do some validation) and lastly it will display the change if any.

Anti-Diagonals

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

Input

The first line of input will contain a 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.

Explanation

For example, if M = 2, N = 3

Matrix A:

1 5 5

2 7 8

Output:

1

5 2

5 7

8