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Maximum Number of Integers to Choose from a Range I

Understand how to determine the maximum number of integers you can select from a given range while avoiding banned values and keeping the sum under a limit. This lesson helps you apply sorting and searching strategies to solve constrained selection problems efficiently.

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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 ...