feat: add 0/1 Knapsack Problem solver (Phase 5) - #11
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- Add src/dynamic_programming/knapsack.py implementing bottom-up tabulation with backtracking to recover the selected item set, avoiding recursion-depth limits versus a top-down memoized approach. - Add tests/test_dynamic_programming.py covering typical selection, zero capacity, empty items, over-capacity items, mismatched-length and negative-input validation, with full coverage. - Expose Knapsack via the service layer: dp_knapsack_01 wrapper in service/tools.py, MCP tool, and POST /dynamic-programming/knapsack endpoint, each with tests. - Add ADR 0016 documenting the tabulation/backtracking design. - Update README and ROADMAP; first Phase 5 item.
sjamal
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- Add src/dynamic_programming/knapsack.py implementing bottom-up tabulation with backtracking to recover the selected item set, avoiding recursion-depth limits versus a top-down memoized approach. - Add tests/test_dynamic_programming.py covering typical selection, zero capacity, empty items, over-capacity items, mismatched-length and negative-input validation, with full coverage. - Expose Knapsack via the service layer: dp_knapsack_01 wrapper in service/tools.py, MCP tool, and POST /dynamic-programming/knapsack endpoint, each with tests. - Add ADR 0016 documenting the tabulation/backtracking design. - Update README and ROADMAP; first Phase 5 item.
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Adds a bottom-up tabulation 0/1 Knapsack solver with backtracking to recover selected items, exposed through the existing MCP/HTTP service layer as well as src/, with full test coverage and ADR 0016. First Phase 5 item.