You are given integers N and D . Find N positive integers x 1...x N such that the difference of their product and their sum equals D .

输入描述:

The only line of input contains integers N (2 ≤ N ≤ 1000) and D (0 ≤ D ≤ 1000).

输出描述:

Output N integers that satisfy the given condition in non-decreasing order (in a single line, separated with spaces). Note that some numbers can be equal. Numbers printed by you must not exceed 106.