During admission in a course, the names of the students are inserted in ascending order. Thus, performing the sorting operation at the time of inserting elements in a list. Identify the type of sorting technique being used and write a program using a user defined function that is invoked every time a name is input and stores the name in ascending order of names in the list.
The sorting technique being used is Insertion Sort.
In insertion sort, each new element is inserted at its appropriate position in an already sorted list, maintaining the sorted order throughout the process. The question describes a scenario where student names are inserted in ascending order during admission, which matches the working principle of insertion sort where elements are inserted one by one at their correct positions.
As per the textbook, in insertion sort, the list is divided into two parts - sorted elements and unsorted elements. Each element is considered one by one and inserted into the sorted list at its appropriate position. The sorted list is traversed from the backward direction to find the correct position for insertion.
Program: python def insert_name(name_list, new_name): # Find the correct position for new name i = 0 while i < len(name_list) and name_list[i] < new_name: i = i + 1 # Insert at correct position name_list.insert(i, new_name) return name_list
Main program
student_names = [] n = int(input("Enter number of students: ")) for i in range(n): name = input("Enter student name: ") insert_name(student_names, name) print("Sorted list:", student_names)
In this program, the user-defined function insert_name() finds the correct position by comparing the new name with existing names, then inserts the name at that position. The main program calls this function for each admission, ensuring the list remains sorted in ascending order.
Explanation
The question describes a real-world application of Insertion Sort where elements are inserted in sorted order one at a time. The textbook explains that insertion sort divides the list into sorted and unsorted parts, inserting each element at its appropriate position by traversing backward. The program demonstrates this by finding the correct position for each new name and inserting it, maintaining alphabetical order throughout.
Solution Steps
Step 1: Identify the sorting technique as Insertion Sort based on the description of inserting elements in sorted order.
Step 2: Explain that insertion sort maintains sorted order by inserting each element at its appropriate position.
Step 3: Write a user-defined function that finds the correct position for a new name and inserts it.
Step 4: Write the main program that repeatedly calls the function for each new admission.