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Maximum Number of Integers to Choose from a Range I

Explore how to determine the maximum count of integers you can choose from a specific range, excluding banned values and ensuring the sum does not exceed a given limit. This lesson helps you understand constraints involving arrays, ranges, and sum conditions, and guides you through solving the problem efficiently with sorting and search techniques.

Statement

Given an integer array banned and two integers n and max_sum, 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 max_sum.

Your goal is to ...