2554. Maximum Number of Integers to Choose From a Range I
Medium
196
11

You are given an integer array `banned` and two integers `n` and `maxSum`. You are choosing some number of integers following the below rules:

• The chosen integers have to be in the range `[1, n]`.
• Each integer can be chosen at most once.
• The chosen integers should not be in the array `banned`.
• The sum of the chosen integers should not exceed `maxSum`.

Return the maximum number of integers you can choose following the mentioned rules.

Example 1:

```Input: banned = [1,6,5], n = 5, maxSum = 6
Output: 2
Explanation: You can choose the integers 2 and 4.
2 and 4 are from the range [1, 5], both did not appear in banned, and their sum is 6, which did not exceed maxSum.
```

Example 2:

```Input: banned = [1,2,3,4,5,6,7], n = 8, maxSum = 1
Output: 0
Explanation: You cannot choose any integer while following the mentioned conditions.
```

Example 3:

```Input: banned = , n = 7, maxSum = 50
Output: 7
Explanation: You can choose the integers 1, 2, 3, 4, 5, 6, and 7.
They are from the range [1, 7], all did not appear in banned, and their sum is 28, which did not exceed maxSum.
```

Constraints:

• `1 <= banned.length <= 104`
• `1 <= banned[i], n <= 104`
• `1 <= maxSum <= 109`
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