A / B Problem

Write a program which reads two integers a and b, and calculates the following values:

• a ÷ b: d (in integer)
• remainder of a ÷ b: r (in integer)
• a ÷ b: f (in real number)

Constraints

• 1 ≤ a, b ≤ 109

Input

Two integers a and b are given in a line.

Output

Print d, r and f separated by a space in a line. For f, the output should not contain an absolute error greater than 10-5.

Example

Input

3 2

Output

1 1 1.50000

inputFormat

Input

Two integers a and b are given in a line.

outputFormat

Output

Print d, r and f separated by a space in a line. For f, the output should not contain an absolute error greater than 10-5.

Example

Input

3 2

Output

1 1 1.50000

样例

3 2

1 1 1.50000