Honey#503
Everyone loves sweets, especially honey. Winnie the Pooh also loved it. Every morning, he went to have "a little snack", and in the evening he would visit Rabbit. But winter was approaching, and Winnie the Pooh began to think about his supplies. He decided that for days, he would not eat honey, but collect it in a pot with volume . However, on the first day of collecting, Winnie the Pooh came to Rabbit very hungry, but with a full pot of honey. Since it would be impolite to visit Rabbit every evening just to eat, Winnie the Pooh decided to eat "a little" honey from the pot each day. Since resisting the smell of honey was too difficult for him, each day he began to eat "a little" more honey than the previous day. It is required to determine the amount of honey collected by Winnie the Pooh over all the days of gathering.
The first line of the input file contains the number of tests .
Each of the following lines contains three natural numbers (N \leq 300), (V \leq 10^7), and (K \leq 100), separated by spaces. is the amount by which Winnie the Pooh ate more honey each subsequent day.
For each of the tests, output values separated by a space.
The first value in each line should be YES if it never happened that Winnie the Pooh came to Rabbit with an empty pot, and NO otherwise. The second value is the amount of honey collected by Winnie the Pooh for winter.
Example 1