Problem N
Pigeon-holes

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In the world of mathematics there is a famous principle called Dirichlet’s box principle. It is also known as the Pigeonhole principle. The principle says that if you have more doves than boxes for the doves you have to put more than one dove in some box to fit them all in a box. We will look at this phenomenon in this problem, and print the answer “Dufur passa” if the doves all fit in the boxes without cramming more than one dove in a single box. This is actually related to another mathematical principle called the Principle of Inclusion-Exclusion, as sometimes doves will be excluded if cramming more than a single dove in each box is not allowed. In this case the answer should be “Dufur passa ekki”. This rule is often shortened to be written as PIE, or even denoted by the Greek letter $\pi $. This actually relates to a well known movie about a man trying to find connections and meaning in numbers. This is exactly what we are trying to do here, like connecting it all to the movie The Number 23. You can search for meaning in numbers for as long as you have the time to, trying to check if things fit together perfectly or whether things are imbalanced. This is actually very important in this problem. If everything fits perfectly, with no doves or boxes left over, the answer should be “Dufur passa fullkomlega”. Many others have also considered the meaning of numbers. A well known mason received a question about this exact thing, which brings us to our next topic, that of cods. Iceland won the cod wars, proving that it is “stórasta land í heimi”. This should of course be kept in mind when you solve the problem, as it is of utmost importance.

Input

The input consists of two lines. The first line contains an integer $n$, the number of doves. The second line contains an integer $m$, the number of boxes for the doves.

Output

Print whether the doves fit, as described above.

Scoring

7
9

Dufur passa

10
9

Dufur passa ekki