The discussion centers around creating a program that accepts multiple lines of input and outputs the length of each line after a sentinel value is entered. The user initially attempts to implement this using a while loop but struggles with storing and displaying the lengths of all lines. It is suggested that the user should place the output statement inside the while loop to display each line's length immediately, but the user prefers to display all lengths after input is complete. Since the user is unfamiliar with arrays, the conversation shifts to using an ArrayList, which allows dynamic resizing. The ArrayList can store the lengths of each line as they are entered, enabling the user to retrieve and print the lengths later. The final suggestion involves declaring an ArrayList, adding line lengths to it, and using methods to access the stored lengths. This approach aligns with the user's requirement to handle an unspecified number of input lines without being constrained by a fixed array size.