Recall & Review
beginner
What is the main goal of the Allocate Minimum Pages problem?
To divide an array of book pages among students so that the maximum pages assigned to any student is minimized.
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intermediate
Why do we use binary search on the answer in this 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.
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beginner
What does the 'isPossible' function check in the Allocate Minimum Pages problem?
It checks if it is possible to allocate books to students such that no student reads more than a given maximum number of pages.
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beginner
In the binary search approach, what do the 'low' and 'high' pointers represent?
'Low' is the maximum pages in a single book, and 'high' is the sum of all pages in all books.
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intermediate
What is the time complexity of the Allocate Minimum Pages problem using binary search on answer?
O(N * log S), where N is the number of books and S is the sum of all pages.
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What is the lower bound for the binary search in Allocate Minimum Pages?
✗ Incorrect
The minimum maximum pages cannot be less than the largest single book's pages.
What does the 'isPossible' function return if allocation is not feasible?
✗ Incorrect
'isPossible' returns false if allocation with the given max pages is not possible.
What is the main advantage of using binary search on answer here?
✗ Incorrect
Binary search efficiently narrows down the minimum maximum pages.
If the number of students is more than the number of books, what is the minimum maximum pages?
✗ Incorrect
Each student can get at most one book, so minimum max pages is max pages in a single book.
What happens if the mid value in binary search is too small?
✗ Incorrect
If mid is too small, allocation fails, so we increase low to search higher values.
Explain how binary search on the answer works in the Allocate Minimum Pages problem.
Think about searching between max single book pages and total pages.
You got /5 concepts.
Describe the role of the 'isPossible' function and how it helps in solving the problem.
It tests if a guess for max pages works.
You got /4 concepts.