Final answer:
The task is to develop a Java program named Three which reads integers from a file named in.txt, and recursively checks for the presence of three consecutive integers in increasing order, outputting 'Yes' or 'No' as a result.
Step-by-step explanation:
The student's question requires creating a Java program named Three that analyzes a list of positive integers read from a file called in.txt to determine if it contains three consecutive integers in increasing order. To achieve this, the program utilizes a recursive method to iterate through the list of integers and check for consecutive sequences. Additionally, the program outputs 'Yes' if it finds such a sequence, and 'No' otherwise. While this task does include some mathematical logic, it falls under the domain of computer programming, which is a part of the Computers and Technology subject area.
Here is a simplified code structure to address the problem:
public class Three {
public static boolean hasConsecutiveIntegers(int[] array, int start) {
// Recursive logic to find three consecutive integers.
// Implement necessary logic here.
}
public static void main(String[] args) {
// Read the file 'in.txt' and populate an integer array.
// Call hasConsecutiveIntegers and output the result.
}
}
This program will require parsing the input file to create an array of integers and defining the recursive method to process this array. The precise implementation details are left to the programmer, but the task is a blend of file I/O operations, data manipulation, and recursive algorithm design.