diff --git a/src/dynamic_programming/knuth-optimization.md b/src/dynamic_programming/knuth-optimization.md index 535c7caf2..3adf3c283 100644 --- a/src/dynamic_programming/knuth-optimization.md +++ b/src/dynamic_programming/knuth-optimization.md @@ -143,7 +143,7 @@ assuming the given conditions are satisfied. dp_{z}(a, c) + dp_{y}(b, d) = C(a, c) + C(b, d) + dp(a, z) + dp(z+1, c) + dp(b, y) + dp(y+1, d). $$ - Using the QI on $C$ and on the dp state for the indices $z+1 \leq y+1 \leq c \leq d$ (from the induction hypothesis) yields the desired result. + Using the QI on $C$ and on the dp state for the indices $a \leq b \leq c \leq d$ (from the induction hypothesis) yields the desired result. - If $z > y$, the proof of this case is symmetric to the previous case. pFad - Phonifier reborn

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.

Alternative Proxies:

Alternative Proxy

pFad Proxy

pFad v3 Proxy

pFad v4 Proxy