Your clients desire to buy a certain number (M) of bricks, which for, uh, religious reasons must be of different types. They will be melted together, and the resultant mixture must have a concentration of at least CMin and at most CMax grams of copper per kilogram. Their goal is to pick the M types of brick so that the mixture has the correct concentration and the price of the collection is minimized. You must figure out how to do this. M, CMin, and CMax will vary depending on the client.
The first part of input consists of a line containing a number N (1 <= N <= 200), the number of brick types, and then N lines containing the copper concentration (between 1 and 999) and price (in cents) of each brick type. No brick costs more than 10 dollars.
The second part consists of a line containing a number C (1 <= C <= 100), the number of clients you are serving, followed by C lines containing M (1 <= M <= 20), CMin (1 <= CMin <= 999), and CMax (1 <= CMax <= 999) for each client.
All input numbers will be positive integers.
Output consists of a line for each client containing the minimum possible price for which they can purchase bricks to meet their demands. If there is no way to match their specifications, output "impossible".
1 11 550 300 550 200 700 340 300 140 600 780 930 785 730 280 678 420 999 900 485 390 888 800 3 2 500 620 9 550 590 9 610 620
420 impossible 3635