Given an array of integers representing the number of gems in each chest on each planet, find the maximum sum of gems that can be collected by visiting a subsequence of planets.
Explanation: Step-by-step: We start with the array [3, 7, 1]. We can include all numbers to get the maximum sum: 3 + 7 + 1 = 11.
Explanation: Step-by-step: We start with the array [10, 30, 40, 50]. We can include all numbers to get the maximum sum: 10 + 30 + 40 + 50 = 130.
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