Print a Centered Pascal Triangle

Given a positive integer height, generate the first height rows of Pascal's triangle and print them as a centered text triangle.

Formatting requirements:

• Let max_value be the largest number that appears in the triangle.
• Let w be the number of decimal digits in max_value.
• Print each number right-aligned in a field of width w.
• Use consistent spacing between values so the output looks visually symmetric.
• Add leading spaces so each row is centered relative to the last row.

Example: if the largest value is 121, then w = 3, so the value 1 should be printed as " 1".

Print a Centered Pascal Triangle

Given a positive integer height, generate the first height rows of Pascal's triangle and return them as a list of strings representing a centered text triangle. If the returned strings are printed line by line, they should form a visually symmetric Pascal triangle.

Formatting rules:

• Let max_value be the largest number anywhere in the generated triangle.
• Let w be the number of decimal digits in max_value.
• Format every number right-aligned in a field of width w.
• Separate adjacent formatted numbers with exactly one space.
• Let last_width be the length of the formatted last row.
• For each row, add floor((last_width - current_row_width) / 2) leading spaces so it is centered relative to the last row.
• Do not include trailing spaces in the returned strings.

Example: if max_value = 121, then w = 3, so the value 1 should be formatted as ' 1'.

Constraints

• 1 <= height <= 30
• Each interior value in Pascal's triangle is the sum of the two values directly above it

Hints

1. Build Pascal's triangle row by row: every row starts and ends with 1, and each middle value comes from two adjacent values in the previous row.
2. Because the spacing depends on the largest value and the width of the last row, generate all rows first and format them in a second pass.