Seating Arrangement for Participants

You are given n participants and m tables. Your task is to arrange the participants at the tables such that:

• Each table receives either ⌊n/m⌋ or ⌊n/m⌋+1 participants.
• The first n \mod m tables will receive one extra participant.
• In each table's seating arrangement, the first number denotes the number of participants at that table followed by the participant numbers assigned to that table.

For example, if n = 6 and m = 3, then each table gets exactly 2 participants. The seating arrangement will be:

2 1 2
2 3 4
2 5 6

Note: Participant numbers are assigned in increasing order from 1 to n.

inputFormat

The input consists of one line containing two integers n and m separated by a space, where:

• n (1 ≤ n ≤ 10⁵) is the number of participants.
• m (1 ≤ m ≤ n) is the number of tables.

outputFormat

Output m lines. Each line represents a table. The line starts with an integer k which is the number of participants at that table, followed by k participant numbers. All numbers are separated by a space.

## sample

6 3

2 1 2
2 3 4
2 5 6

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