One Clue

There are 2000001 stones placed on a number line. The coordinates of these stones are -1000000, -999999, -999998, \ldots, 999999, 1000000.

Among them, some K consecutive stones are painted black, and the others are painted white.

Additionally, we know that the stone at coordinate X is painted black.

Print all coordinates that potentially contain a stone painted black, in ascending order.

Constraints

• 1 \leq K \leq 100
• 0 \leq X \leq 100
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

K X

Output

Print all coordinates that potentially contain a stone painted black, in ascending order, with spaces in between.

Examples

Input

3 7

Output

5 6 7 8 9

Input

4 0

Output

-3 -2 -1 0 1 2 3

Input

1 100

Output

100

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

K X

outputFormat

Output

Print all coordinates that potentially contain a stone painted black, in ascending order, with spaces in between.

Examples

Input

3 7

Output

5 6 7 8 9

Input

4 0

Output

-3 -2 -1 0 1 2 3

Input

1 100

Output

100

样例

4 0

-3 -2 -1 0 1 2 3