Knapsack
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.
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.
Print one integer — the maximum possible weight of a good subset of items.
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.
Samples
10
1 2 3 4 5 6 7 8
10
0
0 0 0 0 0 0 0 0
0
3
0 4 1 0 0 9 8 3
3