- Difficulty: Hard
- Tags: LeetCode, Hard, leetcode-3181, Dynamic Programming, O(n * k), Sort, DP, Bitset, Bit Manipulation, Array
Problem
You are given an integer array rewardValues
of length n
, representing the values of rewards.
Initially, your total reward x
is 0, and all indices are unmarked. You are allowed to perform the following operation any number of times:
- Choose an unmarked index
i
from the range[0, n - 1]
. - If
rewardValues[i]
is greater than your current total rewardx
, then addrewardValues[i]
tox
(i.e.,x = x + rewardValues[i]
), and mark the indexi
.
Return an integer denoting the maximum total reward you can collect by performing the operations optimally.
Example 1:
Input: rewardValues = [1,1,3,3]
Output: 4
Explanation:
During the operations, we can choose to mark the indices 0 and 2 in order, and the total reward will be 4, which is the maximum.
Example 2:
Input: rewardValues = [1,6,4,3,2]
Output: 11
Explanation:
Mark the indices 0, 2, and 1 in order. The total reward will then be 11, which is the maximum.
Constraints:
1 <= rewardValues.length <= 5 * 104
1 <= rewardValues[i] <= 5 * 104