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Number Diamond

Given an integer 

N as input, write a program to print a number diamond of 2*N -1 rows as shown below.

Note: There is a space after each number.

Input

The first line of input is an integer 

N.

Explanation

In the given example, the number of rows in the diamond is 

5.

So, the output should be

    1 
   1 2 
  1 2 3 
 1 2 3 4 
1 2 3 4 5 
 1 2 3 4 
  1 2 3 
   1 2 
    1
Sample Input 1
5
Sample Output 1
    1 
   1 2 
  1 2 3 
 1 2 3 4 
1 2 3 4 5 
 1 2 3 4 
  1 2 3 
   1 2 
    1
Sample Input 2
4
Sample Output 2
   1 
  1 2 
 1 2 3 
1 2 3 4 
 1 2 3 
  1 2 
   1
sample input 3
15
sample output3
              1 
             1 2 
            1 2 3 
           1 2 3 4 
          1 2 3 4 5 
         1 2 3 4 5 6 
        1 2 3 4 5 6 7 
       1 2 3 4 5 6 7 8 
      1 2 3 4 5 6 7 8 9 
     1 2 3 4 5 6 7 8 9 10 
    1 2 3 4 5 6 7 8 9 10 11 
   1 2 3 4 5 6 7 8 9 10 11 12 
  1 2 3 4 5 6 7 8 9 10 11 12 13 
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 
 1 2 3 4 5 6 7 8 9 10 11 12 13 14 
  1 2 3 4 5 6 7 8 9 10 11 12 13 
   1 2 3 4 5 6 7 8 9 10 11 12 
    1 2 3 4 5 6 7 8 9 10 11 
     1 2 3 4 5 6 7 8 9 10 
      1 2 3 4 5 6 7 8 9 
       1 2 3 4 5 6 7 8 
        1 2 3 4 5 6 7 
         1 2 3 4 5 6 
          1 2 3 4 5 
           1 2 3 4 
            1 2 3 
             1 2 
              1

Product of the Given Numbers

Given an integer N, write a program which reads N inputs and prints the product of the given input integers.

Input

The first line of input is a positive integer, N. The next N lines each contain an integer.

Output

The output should be the product of the given input integers.

Explanation

In the given example,

N = 3 and the input integers are 2, 3, and 7.So, the output should be 2 x 3 x 7 = 42.

Sample Input 1

3

2

3

7

Sample Output 1

42

Sample Input 2

4

11

2

4

9

Sample Output 2

792




Day Name - 2

Given the weekday of the first day of the month, determine the day of the week of the given date in that month.

Input

The first line is a string D. The second line is an integer N.

Output

The output should be a string.

Explanation

In the given example,

D = Monday. As the 1st of the day of the month is a Monday, it means the 7th and 14th of the month will be Sundays (A week has 7 days). So the 16th day (N = 16) of the month will be a Tuesday.

So, the output should be

Tuesday.

Sample Input 1

Monday

16

Sample Output 1

Tuesday

Sample Input 2

Tuesday

17

Sample Output 2

Thursday




Denominations - 2

The possible denominations of currency notes are 100, 50, 20 and 10. The amount A to be withdrawn is given as input. Write a program to break the amount into minimum number of bank notes.

Input

The first line of input is an integer A.

Output

The output should be a string representing number of 100, 50, 20, 10 notes possible.

Explanation

In the given example amount

370, it can be written as370 = 3*(100) + 1*(50) + 1*(20) + 0*(10)Then the output should be


100 Notes: 3

50 Notes: 1

20 Notes: 1

10 Notes: 0


Sample Input 1

370

Sample Output 1

100 Notes: 3

50 Notes: 1

20 Notes: 1

10 Notes: 0

Sample Input 2

130

Sample Output 2

100 Notes: 1

50 Notes: 0

20 Notes: 1

10 Notes: 1




3-digit Armstrong Number

Write a program to check if a given 3-digit number X is an Armstrong number or not.

Note: A number is an Armstrong number if the number is equal to the sum of the Nth power of its digits.

Input

The first line is an integer X.

Output

The output should be a single line containing True if it satisfies the given conditions, False in all other cases.

Explanation

In the given example

X = 371, The number of digits in 371 is 3. So, 33 + 73 + 13 = 371. Hence,

371 is an Armstrong number.

So, the output should be

True.

Sample Input 1

371

Sample Output 1

True

Sample Input 2

351

Sample Output 2

False




Create a program in Python to calculate grade point averages for college students. Grade point averages are calculated by dividing total number of quality points by the total number of earned credit hours. Quality points are grades earned multiplied by the credit hours of a course.  A grade of A is worth 4 points, B is 3 points, C is 2 points, D is 1 point and an F is 0 points. 

Your program should prompt the student to enter their name, total credit hours earned, and total quality points earned.  Calculate the grade point average and display back the student’s name along with their gpa for my example of John Doe. 

Hi John Doe.  Your grade point average is 3.30.   



Sum of the series

Write a program to find the sum

S of the series where S = x - x^3 + x^5 + ....... upto N terms.Input

The first line of input is an integer

X. The second line of input is an integer N.Explanation

If we take

X value as 2 in the series upto 5 terms.Then the series is 2 - 23 + 25 - 27 + 29

So, the output should be

410.


Given a sentence S, write a program to print the frequency of each word in S. The output order should correspond with the word's input order of appearance.

Input


The input will be a single line containing a sentence S.

Output


The output contains multiple lines, with each line containing a word and its count separated by ": " with the order of appearance in the given sentence.


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.


Define the following functions,

f(x) = 1 / 1 + x2

and g(x) = x − x2

Produce plots of the graphs of each of f ◦ g and g ◦ f. You should choose settings (eg domain, number of samples) to make a smooth plot which displays the key features.
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