Skip to content

Resolves #1219: Update knuth-optimization.md #1364

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Closed
wants to merge 2 commits into from
Closed

Resolves #1219: Update knuth-optimization.md #1364

Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
ed6be54
Resolves #1219: Update knuth-optimization.md
Hashir311 Oct 15, 2024
34c1d13
Merge branch 'main' into fix-for-1219
Hashir311 Oct 15, 2024
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
2 changes: 1 addition & 1 deletion src/dynamic_programming/knuth-optimization.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -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.

Expand Down