human
Write me a Python program to print m distinct integers from 1 to m — the order in which the passengers will get off the bus given the following:
Consider 2n rows of the seats in a bus. n rows of the seats on the left and n rows of the seats on the right. Each row can be filled by two people. So the total capacity of the bus is 4n.

Consider that m (m ≤ 4n) people occupy the seats in the bus. The passengers entering the bus are numbered from 1 to m (in the order of their entering the bus). The pattern of the seat occupation is as below:

1-st row left window seat, 1-st row right window seat, 2-nd row left window seat, 2-nd row right window seat, ... , n-th row left window seat, n-th row right window seat.

After occupying all the window seats (for m > 2n) the non-window seats are occupied:

1-st row left non-window seat, 1-st row right non-window seat, ... , n-th row left non-window seat, n-th row right non-window seat.

All the passengers go to a single final destination. In the final destination, the passengers get off in the given order.

1-st row left non-window seat, 1-st row left window seat, 1-st row right non-window seat, 1-st row right window seat, ... , n-th row left non-window seat, n-th row left window seat, n-th row right non-window seat, n-th row right window seat.

 The seating for n = 9 and m = 36.

You are given the values n and m. Output m numbers from 1 to m, the order in which the passengers will get off the bus.

Input

The only line contains two integers, n and m (1 ≤ n ≤ 100, 1 ≤ m ≤ 4n) — the number of pairs of rows and the number of passengers.

Output

Print m distinct integers from 1 to m — the order in which the passengers will get off the bus.

Examples

Input

2 7

Output

5 1 6 2 7 3 4

Input

9 36

Output

19 1 20 2 21 3 22 4 23 5 24 6 25 7 26 8 27 9 28 10 29 11 30 12 31 13 32 14 33 15 34 16 35 17 36 18
Using python3 can you solve the prior task?
assistant
#Here is Python program to print m distinct integers from 1 to m — the order in which the passengers will get off the bus.

def solve():
    N, M = map(int, input().split())

    ans = []

    def app(x):
        if x < M:
            ans.append(str(x + 1))

    for i in range(0, N * 2, 2):
        app(N * 2 + i)
        app(i)
        app(N * 2 + i + 1)
        app(i + 1)

    print(' '.join(ans))

if __name__ == '__main__':
    solve()