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How do I make a pattern of numbers in java using only two variables?

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this is the required template and the code i used is

  public class Test{
    public static void main(String[] args) {
        int k = 1;
        for (int i = 0; i <= 5; i++){
            for (int j = 1; j <= i; j++){
                System.out.print(k + " ");
                k++;
            }
            System.out.println();
        }
    }
}

as you can see I used the k variable to print numbers. My question is, is there a way to print the same pattern without using the third variable k ? I want to print a template using only i and j .

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3 answers


Since this problem is formulated as a learning exercise, I would not suggest a complete solution, but a few tips:



  • Couldn't you print the sequence if you knew the last number from the previous line? - the answer is trivial: you need to printpriorLine + j

  • Given i

    , how would you find the value of the last number printed on the i-1

    lines?     - to find the answer, find the formula for calculating the sum of an arithmetic sequence . In your case d = 1 and a 1= 1.
+6


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You can use this:

public static void main(String[] args) {
    for (int i = 1; i <= 5; i++) {
        for (int j = 0; j < i; j++) {
            System.out.print((i * (i - 1)) / 2 + j + 1 + " ");
        }
    }
}


Or you can find the nth term and subtract it every time:

public static void main(String[] args) {
    for (int i = 0; i <= 5; i++) {
        for (int j = 1; j <= i; j++) {
            System.out.print(((i * (i + 1)) / 2) - (i - j) + " ");
           // k++;
        }
        System.out.println(" ");
    }
}
0


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you can use

System.out.println((i+j) + " ");

eg.

i    j    (i+j)

0    1      1
1    1      2
2    1      3
2    2      4
..........
-five


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