Minimum Time Required

You are planning production for an order. You have a number of machines that each have a fixed number of days to produce an item. Given that all the machines operate simultaneously, determine the minimum number of days to produce the required order.

For example, you have to produce items. You have three machines that take days to produce an item. The following is a schedule of items produced:

Day Production  Count
2   2               2
3   1               3
4   2               5
6   3               8
8   2              10

It takes days to produce items using these machines.

Function Description

Complete the minimumTime function in the editor below. It should return an integer representing the minimum number of days required to complete the order.

minimumTime has the following parameter(s):

machines: an array of integers representing days to produce one item per machine
goal: an integer, the number of items required to complete the order

Input Format

The first line consist of two integers and , the size of and the target production.
The next line contains space-separated integers, .

Constraints

Output Format

Return the minimum time required to produce items considering all machines work simultaneously.

Sample Input 0

2 5
2 3

Sample Output 0

Explanation 0

In days can produce items and can produce items. This totals up to .

Sample Input 1

3 10
1 3 4

Sample Output 1

Explanation 1

In minutes, can produce items, can produce items and can produce item, which totals up to .

Sample Input 2

3 12
4 5 6

Sample Output 2

Explanation 2

In days can produce items, can produce , and can produce .