302732: CF530E. Sum and product

Memory Limit：256 MB Time Limit：2 S
Judge Style：Text Compare Creator：
Submit：0 Solved：0

Description

E. Sum and producttime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard output

You are given integers N and D. Find N positive integers x1...xN such that the difference of their product and their sum equals D.

Input

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

Output

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.

ExamplesInput
2 1
Output
2 3
Input
3 5
Output
1 2 8

Input

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