Given an improper fraction (as the numerator $N$ and the denominator $D$), determine and print it in mixed fraction form.

Here are a few examples of improper and mixed fractions:

Input

The input will contain two integers $N$ ($1 < N < 100$) and $D$ ($1 < D < N$).

All test cases will always produce a valid mixed fraction.

Output

Print three integers: the whole number, the numerator and the denominator of the mixed fraction, each separated by a space.

Sample

Input	Output
9 5	1 4 5