Maximum sum of increasing subsequence #247
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if input is {1, 101, 2, 3, 100, 4, 5}, then output should be 106 (1 + 2 + 3 + 100),
if the input array is {3, 4, 5, 10}, then output should be 22 (3 + 4 + 5 + 10)
if the input array is {10, 5, 4, 3}, then output should be 10
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if input is {1, 101, 2, 3, 100, 4, 5}, then output should be 106 (1 + 2 + 3 + 100),
if the input array is {3, 4, 5, 10}, then output should be 22 (3 + 4 + 5 + 10)
if the input array is {10, 5, 4, 3}, then output should be 10