Ограничения: время – 1s/2s, память – 128MiB Ввод: input.txt или стандартный ввод Вывод: output.txt или стандартный вывод
Послать решение Blockly Посылки Темы Где Обсудить (0)
At Fred Hacker's school, there are `T\ times\ C` classes, divided into `C` catagories of `T` classes each.
The day begins with all the category 1 classes being
taught simultaneously. These all end at the same time, and then
all the category 2 classes are taught, etc. Fred has to take
exactly one class in each category. His goal is to choose the
set of classes that will minimize the amount of "energy" required to carry out his daily schedule.
The energy requirement of a schedule is the sum of the energy requirement of
the classes themselves, and energy consumed by moving from one class to the next through the schedule.
More specifically, taking the `j`th class in the `i`th category uses `E_{ij}` units of energy. The rooms
where classes take place are located at integer positions (ranging from 0 to `L`) along a single
hallway. The `j`th class in the `i`th category is located at position `P_{ij}`. Fred starts the
day at position 0, moves from class to class, according to his chosen schedule, and finally exits at location `L`. Moving a distance `d` uses `d` units
of energy.
The first line of the input is `Z\ ≤\ 20` the number of test cases. This is followed by `Z` test cases.
Each test case begins with three space-separated integers: `C`, `T`, and `L` (`1\ ≤\ C\ ≤\ 25`,
`1\ ≤\ T\ ≤\ 1000`,
`1\ ≤\ L\ ≤\ 1\ 000\ 000`). Each of the following `T*C`
lines gives, respectively, the location and energy consumption of a
class (`0\ ≤\ P_{ij}\ ≤\ L`, `1\ ≤\ E_{ij}\ ≤\ 1\ 000\ 000`). The first `T` lines
represent the classes of category 1, the next `T` lines represent the classes of category 2, and
so on. No two classes in the same category will have the same location.
For each input instance, the output will be a single integer on a
line by itself which is the minimum possible energy of a schedule satisfying the constraints.
Sample Input
1
3 2 5
2 1
3 1
4 1
1 3
1 4
3 2
Fred must take 3 classes every day, and for each he has 2 choices.
The hall has length 5. His first possible class is located at
position 2 and will take 1 unit of energy each day, etc.
Here is one way to obtain the minimum energy:
Go to the class at location 2. Energy used: 3
Next, go to the class at location 4. Energy used: 6
Then go to the class at location 3. Energy used: 9
Finally, leave the school at location 5. Energy used: 11
Source: Waterloo local contest 2011