From ed6be54085b6d4186225c2d0d88761555a389c1e Mon Sep 17 00:00:00 2001 From: Mohammad Hashir Siddiqui <113341675+Hashir311@users.noreply.github.com> Date: Tue, 15 Oct 2024 16:18:09 +0530 Subject: [PATCH] Resolves #1219: Update knuth-optimization.md --- src/dynamic_programming/knuth-optimization.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) 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

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