1) Examine the algorithm that uses a function. a) Identify the function’s name. Determine the number of
2) You have three segments of length a, b, and c. Write a function that will determine, based on the lengths of the segments, whether it is possible to construct a triangle from them. It is known that a triangle can be constructed if the sum of the lengths of any two segments is greater than the length of the third segment, i.e., a+b>c, a+c>b, b+c>a.
3) Examine the source code and determine what will be displayed on the screen as a result of its execution. s=’zbcdbceab’ print(s.count(‘bc’, 0,8)) s=s.replace(‘bc’,’xy’) print(s.count(‘xy’, 0, 3)+len(s)) print (s.upper())
Пояснение: The algorithm given in the task utilizes a function called F(x) to calculate a value based on the input parameter x.
a) The function’s name is F(x). It takes one argument, which is denoted by the variable x. The function calculates the result by multiplying 4 with the difference between x and 5.
b) The program will call the function multiple times during the execution of the algorithm. In particular, the function is called within the for loop, which iterates over a range of values from a to b+1. This means that the function F(x) will be called b-a+1 times.
c) To determine the number that will be displayed on the screen as a result, we need to analyze the execution of the code. In the code snippet provided, the variables a, b, M, and R are initialized with specific values. Then, the program enters a loop, where it compares the result of F(t) with the current maximum result R. If F(t) is greater than or equal to R, the variables M and R are updated. Finally, the value stored in M is printed on the screen.
To calculate the specific number displayed on the screen, we need to trace the execution of the code. Given the provided values of a=-1 and b=3, the loop will iterate four times: for t=-1, 0, 1, and 2. By performing the calculations, we find that F(-1)=-24, F(0)=-20, F(1)=-16, and F(2)=-12. Among these values, -12 is the largest, and it corresponds to the value of M. Therefore, the number displayed on the screen will be -12.
Совет: Understanding algorithms that involve functions is essential in programming. To comprehend such algorithms better, it is crucial to become familiar with the concepts of function declaration, arguments, and function calls. Additionally, understanding loops and conditional statements helps in comprehending their execution flow. To improve your understanding of algorithms, practice writing and running simple programs that involve functions. Break down complex algorithms into smaller components and analyze each step carefully. Debugging and tracing the execution of the code using paper and pencil can also be beneficial.
Практика: Calculate the result of the algorithm given the following values: a = 2 and b = 6.