Triangle of Squares

Write a program using a Scanner that asks the user for a number n between 1 and 9 (inclusive). The program prints a triangle with 2n - 1 rows. The first row contains only the square of 1, and it is right-justified. The second row contains the square of 2 followed by the square of 1, and is right justified. Subsequent rows include the squares of 3, 2, and 1, and then 4, 3, 2 and 1, and so forth until n rows are printed. Starting at row n + 1, the squares between (n - 1) to 1 are printed, again right justified. Row n + 2 prints the squares between (n -2) to 1.

Assuming the user enters 4, the program prints the following triangle of 7 rows to the console

 1 4 1 9 4 1 16 9 4 1 9 4 1 4 1 1

If the user enters 7, the following 13-row triangle is printed

 1 4 1 9 4 1 16 9 4 1 25 16 9 4 1 36 25 16 9 4 1 49 36 25 16 9 4 1 36 25 16 9 4 1 25 16 9 4 1 16 9 4 1 9 4 1 4 1 1

Notes

• Your solution should NOT use the conditionaloperator
• Your solution should NOT use tabs
• Your solutions SHOULD have at least one nested loop

Hint

Don't think of the output as a triangle. Think of it as two rectangular tables: one of the first n rows, the second of the last (n-1) rows.

Within each table, some cells are three spaces, some are one space and two digits, and some are two spaces and one digit.

Start by printing an entire table with each cell its appropriate square value. Then figure out how to replace the cells that should "empty" with three spaces instead of a number.

Finally, figure out how to print the one-digit numbers as two spaces and one digit, and the two-digit numbers as one space and two digits.

Grading Elements

• Program asks the user for a number in the specified range
• Program displays the correct number of rows
• Program displays the correct number of columns
• Each column entry contains the appropriate square number
• Each row is right-justified, with 1 in the right-most column
• Row spacing is consistent, with each column's entry directly below the preceding row
• Program does not use the conditional operator or tabs
• Program has a nested loop