Quarter Final Sample Test: 1 Greedy puppy
Tuzik is a little dog. But despite the fact he is still a puppy he already knows about the pretty things that coins are,
He knows that for every coin he can get very tasty bone from his master. He believes that some day he will find a
treasure and have loads of bones.
And finally he found something interesting. A wooden chest containing N coins! But as you should remember,
Tuzik is just a little dog, and so he can't open it by himself. Actually, the only thing he can really do is barking. He
can use his barking to attract nearby people and seek their help. He can set the loudness of his barking very
precisely, and therefore you can assume that he can choose to call any number of people from a minimum of 1. to a
maximum of
When people come and open the chest they divide all the coins between them in such a way that everyone will get
the same amount of coins and this amount is maximal possible. If some coins are not used they will leave it on the
ground and Tuzik will take them after they go away. Since Tuzik is clearly not a fool, he understands that his profit
depends on the number of people he will call. While Tuzik works on his barking, you have to find the maximum
possible number of coins he can get.
Input
The first line of the input contains an integer T denoting the number of test cases. Each of next T lines contains 2
space-separated integers: N and K, for this test case.​