#2554
Maximum Number of Integers to Choose From a Range I
medium · verified · 68% accepted · 826 likes · top 75%
array · hash table · binary search · greedy · sorting
Description
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 = [11], 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.
Solution