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Maximum Number of Integers to Choose from a Range I

Explore how to determine the maximum number of integers you can select from a given range, ensuring none are banned and their sum stays within a limit. This lesson guides you through analyzing constraints and applying sorting and search techniques to achieve an efficient solution.

Statement

Given an integer array banned and two integers n and maxSum, determine the maximum number of integers you can choose while adhering to the following rules:

  1. The selected integers must fall within the range [1,n][1, n].

  2. Each integer can be chosen at most once.

  3. No selected integer can be present in the banned array.

  4. The sum of the selected integers must not exceed maxSum.

Your goal is to ...