Java (jagged 3D int array) — how many lines will be printed by the nested loops?\n\npublic class Test \n{\n public static void main(String [] args) \n {\n int[][][] x = new int[3][][];\n int i, j;\n x[0] = new int[4][];\n x[1] = new int[2][];\n x[2] = new int[5][];\n for (i = 0; i < x.length; i++)\n {\n for (j = 0; j < x[i].length; j++) \n {\n x[i][j] = new int[i + j + 1];\n System.out.println("size = " + x[i][j].length);\n }\n }\n }\n}\n\nCount the total println calls produced by the inner loop.

Introduction / Context:
This question checks your understanding of ragged (jagged) multidimensional arrays in Java and how many times a nested loop executes when each “row” has a different length. Specifically, you must total how many inner elements are created and printed as the code initializes subarrays for a 3D-like jagged structure and prints their lengths.

Given Data / Assumptions:

• x is declared as int[][][] with the first dimension sized to 3.
• x[0] has length 4, x[1] has length 2, and x[2] has length 5.
• For each i and j, the code assigns x[i][j] = new int[i + j + 1] and immediately prints one line via System.out.println.
• No exceptions are thrown; the code compiles and runs.

Concept / Approach:
The println call happens once per j iteration of the inner loop. Therefore, the total number of printed lines equals the sum of the lengths of x[i] for i = 0..2. The actual sizes of the innermost arrays (i + j + 1) influence the printed numbers but do not affect the count of lines printed, only their content.

Step-by-Step Solution:

Verification / Alternative check:
Manually list the j values per i (0..3 for i=0, 0..1 for i=1, 0..4 for i=2). Counting each println confirms 11 total lines. Changing the formula i + j + 1 would change the lengths printed but not the number of lines.

Why Other Options Are Wrong:

• 7, 9, 13: These are incorrect sums of the row lengths.
• Compilation fails: The code uses standard Java jagged arrays; it compiles.

Common Pitfalls:
Confusing the number of lines printed with the values printed; the numeric content (lengths) varies, but the count depends only on how many j iterations occur.

Final Answer:
11