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In $$$490$$$ BC, after the Greek victory in the Battle of Marathon, the messenger Pheidippides ran approximately $$$40$$$ kilometers from the Marathon Plain to Athens to announce the triumph, and died shortly after declaring victory. To commemorate this event, the marathon was introduced as an event at the first modern Olympic Games in Athens in $$$1896$$$, with an initial distance of about $$$40$$$ kilometers. The route was adjusted to $$$42.195$$$ kilometers at the $$$1908$$$ London Olympic Games, and this standard was officially adopted by World Athletics in $$$1921$$$. The women's marathon became an official Olympic event at the $$$1984$$$ Los Angeles Olympic Games.

Marathon can easily lead to extreme physical exhaustion. Runners often experience "hitting the wall" (glycogen depletion) between $$$30$$$ and $$$35$$$ kilometers, causing a breakdown of both physical strength and willpower. Long-distance running also poses injury risks to the knees, ankles, calves, and other body parts. Additionally, it is difficult to control the pace at the start; the second half of the race is a lonely mental struggle; weather changes affect physical comfort; improper timing of refueling can cause gastrointestinal discomfort and electrolyte imbalance. Participating in a marathon also requires high standards of daily systematic endurance and strength training. Participating without proper preparation carries a high risk of injury.

However, the biggest difficulty of marathon lies in the extremely low registration success rate. The success rate for popular marathons is often below $$$10\%$$$, and for beginners, it can be as low as $$$2\%$$$.

If you are a marathon beginner, what do you think is the biggest difficulty of running a marathon?

For each draw factor $$$N$$$ and registration number $$$M$$$, you are considered successful if $$$N$$$ divides $$$M$$$. Given the registration number and draw factor, determine whether you are selected.