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5637. Petya and Inequiations

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Little Petya loves inequations. Help him find n positive integers a1,a2,...,an, such that the following two conditions are satisfied:

  • a12+a22+...+an2≥x
  • a1+a2+...+an≤y
Input

The first line contains three space-separated integers n, x and y (1≤n≤105,1≤x≤1012,1≤y≤106).

Please do not use the %lld specificator to read or write 64-bit integers in C++. It is recommended to use cin, cout streams or the %I64d specificator.

Output

Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.

Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11

难度等级： 1
总通过次数： 0
总提交次数： 0