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Sum and Product
Time Limit: 3000MSMemory Limit: 131072K
Total Submissions: 1109Accepted: 134Special Judge

Description

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

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, ... , AN, 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

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