13.25 Case Studies
13.25 Case Studies This chapter has treated dynamic programming as a toolkit: state design, recurrence construction, memoization, tabulation, counting, optimization, graph DP, interval DP, tree DP, bitmask DP, and transition optimizations. The final step is integration. Real problems rarely announce which pattern they require. You have to identify the structure, choose a state, prove the recurrence, and then decide whether the straightforward implementation is sufficient. This section walks through several...