PKU 2844. Sum and Product. 스풰샬 스퉤이지~

For a sequence of N integers A₁, A₂, ... , A_N, we can calculate their sum S and product P easily. With given N, S and P, can you find out the sequence A₁, A₂, ... , A_N?

Input

The input only contains a line with three integers N, S and P. Here N is positive and not more than 1000000, and the absolute values of S and P do not exceed 150000000.

Output

Just output "No solution" if there is no such sequence, or you may output any solution with N integers A₁, A₂, ... , A_N, separated by just one space.

Sample Input

sample input#1
2 4 3
sample input#2
4 4 2

Sample Output

sample output#1
1 3
sample output#2
No solution

Source

POJ Monthly--2006.06.25, Yang Yi