Canadian Computing Competition: 2015 Stage 1, Senior #5
The local pie shop is offering a promotion - all-you-can-eat pies! Obviously, you can't pass up this offer.
The shop lines up pies from left to right - the
pie contains
grams of sugar. Additionally, another
pies are provided - the
of these contains
grams of sugar.
You are first allowed to insert each of the pies from the second group anywhere into the first list of
pies, such as at its start or end, or in between any two pies already in the list. The result will be a list of
pies with the constraint that the initial
pies are still in their original relative order.
Following this, you are allowed to take one walk along the new line of pies from left to right, to pick up your selection of all-you-can-eat pies! When you arrive at a pie, you may choose to add it to your pile, or skip it. However, because you're required to keep moving, if you pick up a certain pie, you will not be able to also pick up the pie immediately after it (if any). In other words, you cannot eat consecutive pies in this combined list.
Being a pie connoisseur, your goal is to maximize the total amount of sugar in the pies you pick up from the line. How many grams can you get?
Input Specification
The first line of input contains the integer (
). The next
lines contain one integer
(
), describing the integer number of grams of sugar in pie
in the group of
pies.
The next line contains (
), the number of pies in the second list. The next
lines contain one integer
(
), describing the integer number of grams of sugar in pie
in the group of
pies.
For of the marks for this question,
. For another
of the marks for this question
. For another
of the marks for this question
.
Output Specification
Output the maximum number of grams of sugar in all the pies that you are able to pick up.
Sample Input
5
10
12
6
14
7
3
1
8
2
Output for Sample Input
44
Explanation of Output for Sample Input
Place the pies in the order
(that is, insert the pie with gram of sugar between
and
, and insert pies with
and
grams of sugar, in that order, between pies
and
). Then, we can grab
grams of sugar, which is maximal.
Comments
The successor to pi day.