Method

Generate Card

List<String> generateCard(int seed)

• Returns a Bingo card generated using the given seed.
• The returned list must contain exactly 3 strings.
• Each string represents one row of the card.
• Each row string must contain exactly 9 comma-separated integers.
• Use 0 for empty positions.
• The same seed must always return the exact same card.

Generation Formula

• Row 0 has positive numbers in columns 0, 2, 4, 6, and 7.
• Row 1 has positive numbers in columns 1, 3, 5, 6, and 8.
• Row 2 has positive numbers in columns 0, 1, 2, 4, and 7.

• low = col * 10 + 1
• offset = (seed + 7 * col) % (11 - count)
• The first number in the column is low + offset.
• The second number in the column, if needed, is low + offset + 1.
• The third number in the column, if needed, is low + offset + 2.
• Place the generated numbers into the positive cells of that column from top to bottom.
• All other cells must contain 0.

Card Rules

• The card has exactly 3 rows and exactly 9 columns.
• Each row contains exactly 5 positive numbers.
• Each row contains exactly 4 zero values.
• The card contains exactly 15 positive numbers in total.
• Every positive number must be unique in the card.
• Every column must contain at least one positive number.
• For every column, positive numbers must be sorted in increasing order from top to bottom.

Column Ranges

• Column 0 can contain only numbers from 1 to 10, both inclusive.
• Column 1 can contain only numbers from 11 to 20, both inclusive.
• Column 2 can contain only numbers from 21 to 30, both inclusive.
• Column 3 can contain only numbers from 31 to 40, both inclusive.
• Column 4 can contain only numbers from 41 to 50, both inclusive.
• Column 5 can contain only numbers from 51 to 60, both inclusive.
• Column 6 can contain only numbers from 61 to 70, both inclusive.
• Column 7 can contain only numbers from 71 to 80, both inclusive.
• Column 8 can contain only numbers from 81 to 90, both inclusive.

Constraints

• 0 ≤ seed ≤ 1,000,000,000
• The output must contain exactly 3 rows.
• Each output row must contain exactly 9 comma-separated integers.
• Empty cells must be represented using 0.
• No returned row string should contain null values.
• Returned row strings must not contain spaces before or after commas.

Examples

Example 1

• "4,0,29,0,45,0,61,78,0"
• "0,12,0,34,0,58,62,0,89"
• "5,13,30,0,46,0,0,79,0"

Example 2

• "1,0,26,0,42,0,67,75,0"
• "0,18,0,37,0,51,68,0,82"
• "2,19,27,0,43,0,0,76,0"

Example 3

• "1,0,26,0,42,0,67,75,0"
• "0,18,0,37,0,51,68,0,82"
• "2,19,27,0,43,0,0,76,0"