分类:
2008-07-19 02:39:26
Problem G:Gone Fishing
Time Limit:1000MS Memory Limit:65536K
Total Submit:21
Accepted:6
Language: not limited
Description
John is going on a fishing trip. He has h
hours available (1 <= h <= 16), and there are n lakes in the area (2 <=
n <= 25) all reachable along a single, one-way road. John starts at lake 1,
but he can finish at any lake he wants. He can only travel from one lake to the
next one, but he does not have to stop at any lake unless he wishes to. For each
i = 1,...,n - 1, the number of 5-minute intervals it takes to travel from lake i
to lake i + 1 is denoted ti (0 < ti <=192). For example, t3 = 4 means that
it takes 20 minutes to travel from lake 3 to lake 4. To help plan his fishing
trip, John has gathered some information about the lakes. For each lake i, the
number of fish expected to be caught in the initial 5 minutes, denoted fi( fi
>= 0 ), is known. Each 5 minutes of fishing decreases the number of fish
expected to be caught in the next 5-minute interval by a constant rate of di (di
>= 0). If the number of fish expected to be caught in an interval is less
than or equal to di , there will be no more fish left in the lake in the next
interval. To simplify the planning, John assumes that no one else will be
fishing at the lakes to affect the number of fish he expects to catch.
Write
a program to help John plan his fishing trip to maximize the number of fish
expected to be caught. The number of minutes spent at each lake must be a
multiple of 5.
Input
You will be given a number of cases in the input. Each case starts with a line containing n. This is followed by a line containing h. Next, there is a line of n integers specifying fi (1 <= i <=n), then a line of n integers di (1 <=i <=n), and finally, a line of n - 1 integers ti (1 <=i <=n - 1). Input is terminated by a case in which n = 0.
Output
For each test case, print the number of
minutes spent at each lake, separated by commas, for the plan achieving the
maximum number of fish expected to be caught (you should print the entire plan
on one line even if it exceeds 80 characters). This is followed by a line
containing the number of fish expected.
If multiple plans exist, choose the
one that spends as long as possible at lake 1, even if no fish are expected to
be caught in some intervals. If there is still a tie, choose the one that spends
as long as possible at lake 2, and so on.
Sample Input
2
1
10 1
2 5
2
4
4
10 15 50 30
0 3 4 3
1 2 3
0
Sample Output
45,5
Number of fish expected:31
115,10,50,35
Number of fish expected:724
解:
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