Problem Statement

A sequence of length $A + B, E = (E_1, E_2, \dots, E_{A+B})$, that satisfies all of the conditions below is said to be a god sequence.

• $E_1 + E_2 + \cdots + E_{A+B} = 0$ holds.
• There are exactly $A positive integers among E_1, E_2, \dots, E_{A+B}$.
• There are exactly $B negative integers among E_1, E_2, \dots, E_{A+B}$.
• $E_1, E_2, \dots, E_{A+B}$ are all distinct.
• -$10^{9} \leq E_i \leq 10^9, E_i \neq 0$ holds for every $i (1 \leq i \leq A+B)$.

Construct one god sequence.
We can prove that at least one god sequence exists under Constraints of this problem.

Input

Input is given from Standard Input in the following format:
A B

Output

Print the elements of your sequence in one line, with space as separator.
If there are multiple god sequences, any of them will be accepted.
$E_1 E_2 \cdots E_{A+B}$

Constraints

• $1 \leq A \leq 1000$
• $1 \leq B \leq 1000$
• All values in input are integers.

Sample Input 1

1 1

Sample Output 1

1001 -1001

A sequence (1001, -1001) contains A=1 positive integer and B=1 negative integer totaling 1001+(-1001)=0.
It also satisfies the other conditions and thus is a god sequence.

Sample Input 2

1 4

Sample Output 2

-8 -6 -9 120 -97

A sequence (-8, -6, -9, 120, -97) contains A=1 positive integer and B=4 negative integers totaling (-8)+(-6)+(-9)+120+(-97)=0.
It also satisfies the other conditions and thus is a god sequence.

Sample Input 3

7 5

Sample Output 3

323 -320 411 206 -259 298 -177 -564 167 392 -628 151

见题面 Input 部分

见题面 Output 部分