Mixed Fractions

Limits 1s, 512 MB

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:

ImproperMixed
$ \frac{9}{5} $$ 1\frac{4}{5} $
$ \frac{3}{2} $$ 1\frac{1}{2} $
$ \frac{11}{5} $$ 2\frac{1}{5} $

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

InputOutput
9 5
1 4 5