Background
Bill, Steve and Linus participate in programming contests just like the one you're competing in right now. They have different strategies and we’d like to find out whose strategy is the best.
Problem
Bill simply solves the problems in the order he gets them from the contest organizers. Steve first reads all the problems and then solves them in increasing order of difficulty. Linus also reads all problems first, but he's quite ambitious and thus solves them in decreasing order of difficulty.
The difficulty of a problem is measured in minutes it takes the guys to solve it. We have collected statistics and we've consulted the oracle Larry so we know for all kinds of problems how long the guys will need. We have also found out that the three of them always need the same time for each problem (which depends on the difficulty of the problem), so they only differ by their strategies.
For several contests, we'd like you to tell us the winner, the number of problems he solved and his score. The score for a single problem is the time in minutes from start of the contest until you solve it. The overall score is the sum of scores of the problems you solved. The guys never make mistakes so you don't have to deal with penalties. The winner is the one who solved the most problems, and in case of a tie, the one with the lowest score. If there's still a tie, then they agree that Steve wins because he always brings delicious apple pie.