1. Write a Python program to input the length of three sides a, b, and c of a triangle, and calculate its area and perimeter. For example, your program may run as follows:
    
    a, b, c =? 3, 4, 5
    Area = 6.0
    Perimeter = 12
    
    
    or
    
    a, b, c =? 2, 2, 2
    Area = 1.7320508075688772
    Perimeter = 6
    
    
  2. Write a Python program to input an integer N, and print out an inverted triangle. Your program may run as follows:
    
    N=? 5
    *****
    ****
    ***
    **
    *
    
    
    or
    
    N=? 3
    ***
    **
    *
    
    
  3. Write a Python program to read a string of digits, and print out a few number of stars according to the digits. Your program may run as follows:
    
    1212321
    *
    **
    *
    **
    ***
    **
    *
    
    
    or
    
    13075
    *
    ***
    
    *******
    *****
    
    
  4. Adjusting Grades
    1. In Taiwan, normally a student receives a grade between 0 and 100 points. For an undergraduate student, if the grade is less than 60 points, that implies this student fails and must take the course again.
    2. Sometimes the instructor may decide to adjust the grades of all students so that more students can pass. A popular formula is to calculate and square root of the original grade and multiply by 10. That is,
      • new = sqrt(original) * 10
    3. Write a Python program which input the grade of a student, and calculate the adjusted new grade according to the above formula.

    The program may run as follows:
    
    Input the original grade -- 36
    The adjusted grade is 60.
    
    
    or
    
    Input the original grade -- 50
    The adjusted grade is 71.
    
    
  5. Write a Python program which input an integer and print a diamond. Your program may run as follows:
    
    N=? 3
      *
     ***
    *****
     ***
      *
    
    
    or
    
    N=? 5
        *
       ***
      *****
     *******
    *********
     *******
      *****
       ***
        *