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MaxSum Subsequence - Nonadjacent Elements

Explore how to determine the maximum sum of a subsequence in an array where no two elements are adjacent. Understand the difference between naive and optimized dynamic programming approaches, improving time complexity to linear while maintaining constant space usage. This lesson helps you master a common dynamic programming pattern for coding interviews.

Statement

Find the maximum sum of a subsequence in a given array such that no consecutive elements are part of this subsequence.

Examples

Consider the following examples:

  • In the example below, the maximum sum of a subsequence with no consecutive elements is 2525:
g d2 1 6 10 14 -5 -1 2 -1 3 d max sum = 25

Note: We did not pick 1010 and ...