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# Allocate Books

Problem Description

Given an array of integers A of size N and an integer B.

The College library has N books. The ith book has A[i] number of pages.

You have to allocate books to B number of students so that the maximum number of pages allocated to a student is minimum.

1. A book will be allocated to exactly one student.
2. Each student has to be allocated at least one book.
3. Allotment should be in contiguous order, for example: A student cannot be allocated book 1 and book 3, skipping book 2.

Calculate and return that minimum possible number.

NOTE: Return -1 if a valid assignment is not possible.

Problem Constraints

1 <= N <= 105
1 <= A[i], B <= 105

Input Format

The first argument given is the integer array A. The second argument given is the integer B.

Output Format

Return that minimum possible number.

Example Input
Input 1:
A = [12, 34, 67, 90]
B = 2
Input 2:
A = [5, 17, 100, 11]
B = 4

Example Output
Output 1:
113
Output 2:
100

Example Explanation
Explanation 1:
There are two students. Books can be distributed in following fashion :
1)  [12] and [34, 67, 90]
Max number of pages is allocated to student 2 with 34 + 67 + 90 = 191 pages
2)  [12, 34] and [67, 90]
Max number of pages is allocated to student 2 with 67 + 90 = 157 pages
3)  [12, 34, 67] and [90]
Max number of pages is allocated to student 1 with 12 + 34 + 67 = 113 pages
Of the 3 cases, Option 3 has the minimum pages = 113.

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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