Allocate Minimum Pages Binary Search on Answer in DSA Go - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the main goal of the Allocate Minimum Pages problem?

To divide a set of books among students so that the maximum number of pages assigned to any student is minimized.

intermediate

Why do we use binary search in the Allocate Minimum Pages problem?

Because the answer (minimum maximum pages) lies between the maximum single book pages and the sum of all pages, allowing us to efficiently search this range.

intermediate

What does the 'feasibility check' function do in this problem?

It checks if it is possible to allocate books to students such that no student reads more than a given number of pages.

beginner

In the Allocate Minimum Pages problem, what is the significance of the lower bound in binary search?

The lower bound is the maximum number of pages in a single book, since no student can be assigned less than that.

advanced

What is the time complexity of the binary search approach for Allocate Minimum Pages?

O(N log S), where N is the number of books and S is the sum of all pages.

What is the initial search range for binary search in Allocate Minimum Pages?

A From 0 to sum of all pages

B From minimum pages in a book to maximum pages in a book

C From maximum pages in a single book to sum of all pages

D From 1 to number of students

The minimum possible max pages is at least the largest single book, and the maximum is the sum of all pages.

What does it mean if the feasibility check fails for a mid value in binary search?

A We can try a smaller max pages value

B We need to try a larger max pages value

C The allocation is perfect

D The number of students is too large

If allocation is not possible with mid as max pages, we must increase mid.

Which data structure is primarily used to store the pages of books in this problem?

A Array or slice

B Queue

C Stack

D Linked list

Books pages are stored in an array or slice for easy access and iteration.

What is the main advantage of using binary search on the answer space here?

A It guarantees equal pages for all students

B It reduces the problem to sorting

C It uses less memory

D It avoids checking all possible allocations directly

Binary search efficiently narrows down the minimum max pages without enumerating all allocations.

If the number of students is greater than the number of books, what is the minimum max pages allocation?

A Maximum pages in a single book

B Sum of all pages

C Zero

D Not possible to allocate

Some students will get no books, so max pages is at least the largest single book.

Explain how binary search is applied to find the minimum maximum pages in the Allocate Minimum Pages problem.

Think about how you guess a max pages and check if allocation is possible.

Describe the role of the feasibility function in the Allocate Minimum Pages problem and how it works.

It tests if a given max pages limit can be used to assign books.