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Knapsack

2000ms 262144K

Description:

You have a set of items, each having some integer weight not greater than $$$8$$$. You denote that a subset of items is good if total weight of items in the subset does not exceed $$$W$$$.

You want to calculate the maximum possible weight of a good subset of items. Note that you have to consider the empty set and the original set when calculating the answer.

Input:

The first line contains one integer $$$W$$$ ($$$0 \le W \le 10^{18}$$$) — the maximum total weight of a good subset.

The second line denotes the set of items you have. It contains $$$8$$$ integers $$$cnt_1$$$, $$$cnt_2$$$, ..., $$$cnt_8$$$ ($$$0 \le cnt_i \le 10^{16}$$$), where $$$cnt_i$$$ is the number of items having weight $$$i$$$ in the set.

Output:

Print one integer — the maximum possible weight of a good subset of items.

Sample Input:

10
1 2 3 4 5 6 7 8

Sample Output:

10

Sample Input:

0
0 0 0 0 0 0 0 0

Sample Output:

0

Sample Input:

3
0 4 1 0 0 9 8 3

Sample Output:

3

Informação

Codeforces

Provedor Codeforces

Código CF1132E

Tags

dfs and similardpgreedy

Submetido 0

BOUA! 0

Taxa de BOUA's 0%

Datas 09/05/2023 09:45:34

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