Depot
레이팅 미적용의견: 0
Tampere
Finland
depot
07.09.01 10:41
depot
Depot
PROBLEM
A Finnish high technology company has a big rectangular depot. The depot has a
worker and a manager. The sides of the depot, in the order around it, are called left,
top, right and bottom. The depot area is divided into equal-sized squares by dividing
the area into rows and columns. The rows are numbered starting from the top with
integers 1,2,... and the columns are numbered starting from the left with integers 1,2,...
The depot has containers, which are used to store invaluable technological devices.
The containers have distinct identification numbers. Each container occupies one
square. The depot is so big, that the number of containers ever to arrive is smaller than
the number of rows and smaller than the number of columns. The containers are not
removed from the depot, but sometimes a new container arrives. The entry to the
depot is at the top left corner.
The worker has arranged the containers around the top left corner of the depot in such
a way that he will be able to find them by their identification numbers. He uses the
following method.
Suppose that the identification number of the next container to be inserted is k
(container k, for short). The worker travels the first row starting from the left and
looks for the first container with identification number larger than k. If no such
container is found, then container k is placed immediately after the rightmost of the
containers previously in the row. If such a container l is found, then container l is
replaced by container k, and l is inserted to the following row using the same method.
If the worker reaches a row having no containers, the container is placed in the
leftmost square of that row.
Suppose that containers 3,4,9,2,5,1 have arrived to the depot in this order. Then
the placement of the containers at the depot is as follows.
1 4 5
2 9
3
The manager comes to the worker and they have the following dialogue:
Manager: Did container 5 arrive before container 4?
Worker: No, that is impossible.
Manager: Oh, so you can tell the arrival order of the containers by their placement.
Worker: Generally not. For instance, the containers now in the depot could have
arrived in the order 3,2,1,4,9,5 or in the order 3,2,1,9,4,5 or in one of 14
other orders.
As the manager does not want to show that the worker seems much smarter, he goes
away. You are to help the manager and write a program which, given a container
placement, computes all possible orders in which they might have arrived.
Tampere
Finland
depot
07.09.01 10:41
depot
Note (RiseOJ) — The original statement describes file-based input/output; on this judge your program must read from standard input and write to standard output instead.
If the output file contains impossible orders or no orders at all, your score is 0 for that
test case. Otherwise the score for a test case is computed as follows. If the output file
contains all possible orders exactly once, your score is 4. If the output file contains at
least half of the possible orders and each of them exactly once, your score is 2. If the
output file contains less than half of the possible orders or some of them appear more
than once, your score is 1.
3
3 1 4 5
2 2 9
1 3
3 2 1 4 9 5
3 2 1 9 4 5
3 4 2 1 9 5
3 2 4 1 9 5
3 2 9 1 4 5
3 9 2 1 4 5
3 4 2 9 1 5
3 4 9 2 1 5
3 2 4 9 1 5
3 2 9 4 1 5
3 9 2 4 1 5
3 4 2 9 5 1
3 4 9 2 5 1
3 2 4 9 5 1
3 2 9 4 5 1
3 9 2 4 5 1
2
2 1 2
1 3
3 1 2
1 3 2
The input file name is depot.in. The first line contains one integer R: the number of
rows with containers in them. The following R lines contain information about rows
1,...,R starting from the top as follows. First on each of those lines is an integer M: the
number of containers in that row. Following that, there are M integers on the line: the
identification numbers of the containers in the row starting from the left. All container
identification numbers I satisfy 1 ≤ I ≤ 50. Let N be the number of containers in the
depot, then 1 ≤ N ≤ 13.
The output file name is depot.out. The output file contains as many lines as there are
possible arrival orders. Each of these lines contains N integers: the identification
numbers of the containers in the potential arrival order described by that line. All lines
describe an arrival order not described in any other line.
EXAMPLE INPUTS AND OUTPUTS
Example 1: depot.in
depot.out
Example 2:
depot.in
depot.out
평가 및 의견
Depot
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Depot