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Problem Solving with Algorithms (2024/2025)

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Read carefully the following program:

  1. import java.util.Scanner;

  2. public class sum

  3. {

  4.   public static void main(String[] args)

  5.   {

  6.     Scanner input = new Scanner(System.in); 

  7.     int n = input.nextInt();

  8.     int sum = 0;

  9.     for (int i = 1; i <= n; i++) {

  10.       sum = sum + i;

  11.     }

  12.     System.out.println(sum);

  13.   }

  14. }

In Big O notation, what is the run-time of this algorithm as a function of the input n?

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Read carefully the following program:

  1. import java.util.Scanner;

  2. public class sum

  3. {

  4. public static void main(String[] args)

  5. {

  6. Scanner input = new Scanner(System.in); 

  7. int n = input.nextInt();

  8. int sum = 0;

  9. for (int i = 1; i <= n; i++) {

  10. sum = sum + i;

  11. }

  12. System.out.println(sum);

  13. }

  14. }

Suppose the input to this program is the integer 10. What is the output?

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