Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Seating On Bus

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputConsider 2*n* 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 4*n*.

Consider that *m* (*m* ≤ 4*n*) 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* > 2*n*) 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.

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* ≤ 4*n*) — 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

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jun/23/2017 01:07:04 (c2).

Desktop version, switch to mobile version.

User lists

Name |
---|