Compute max-weight independent set in path [1,4,5,4] via DP
Analyze the compute max-weight independent set in path [1,4,5,4] via dp.
Examples
Input:"test_input_1"
Output:"output_1"
Input:"test_input_2"
Output:"output_2"
Hints
Start by defining the DP state for this problem. What does dp[i] represent in the context of the given path?
Derive the recurrence relation for dp[i] based on whether you include the current node (i) or not. How does this relate to the maximum independent set concept?
Implement the DP solution and optimize space complexity. How can you reduce the O(n) space to O(1) while maintaining correctness?
Compute max-weight independent set in path [1,4,5,4] via DP
Analyze the compute max-weight independent set in path [1,4,5,4] via dp.