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:
i from the range [0, n - 1].rewardValues[i] is greater than your current total reward x, then add rewardValues[i] to x (i.e., x = x + rewardValues[i]), and mark the index i.Return an integer denoting the maximum total reward you can collect by performing the operations optimally.
\n\n\n
Example 1:
\n\nInput: rewardValues = [1,1,3,3]
\n\nOutput: 4
\n\nExplanation:
\n\nDuring 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.
\nExample 2:
\n\nInput: rewardValues = [1,6,4,3,2]
\n\nOutput: 11
\n\nExplanation:
\n\nMark the indices 0, 2, and 1 in order. The total reward will then be 11, which is the maximum.
\n\n
Constraints:
\n\n1 <= rewardValues.length <= 5 * 1041 <= rewardValues[i] <= 5 * 104dp[i][j] = dp[i - 1][j − rewardValues[i]] if j − rewardValues[i] < rewardValues[i].",
"Note that the dp array is a boolean array. We just need 1 bit per element, so we can use a bitset or something similar. We just need a \"stream\" of bits and apply bitwise operations to optimize the computations by a constant factor."
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