From 0173f138493cab237bde1508ebeb0c243dd97d25 Mon Sep 17 00:00:00 2001
From: "Brady J. Garvin" <bgarvin@cse.unl.edu>
Date: Mon, 25 Sep 2023 20:22:14 -0500
Subject: [PATCH] Introduced additional column headings to explicate the common
 pattern in DP tables.

---
 dynamic-programming/notes.md | 26 +++++++++++++-------------
 1 file changed, 13 insertions(+), 13 deletions(-)

diff --git a/dynamic-programming/notes.md b/dynamic-programming/notes.md
index 16031a7..3a21112 100644
--- a/dynamic-programming/notes.md
+++ b/dynamic-programming/notes.md
@@ -86,8 +86,8 @@ Problem: Subject to an integer weight limit, what choice of items (allowing repe
 *   Item A weighs 3 kg and is worth $10.
 *   Item B weighs 4 kg and is worth $14.
 
-                     Backpointer
-                 -------------------
+      Vertex         Backpointer      Notes for Humans
+    -----------  -------------------  ----------------
     Weight (kg)   Item   Total Value  (Back to Weight)
     -----------  ------  -----------  ----------------
               0  [none]           $0  ⊥
@@ -145,17 +145,17 @@ Problem: Wrap a paragraph to a line length, minimizing the sum of the squares of
 >  x x x x xxxx xxxx
 > 0 1 2 3 4    5    6
 
-                    Backpointer
-           -----------------------------
-    Index  Previous Index  Total Penalty
-    -----  --------------  -------------
-        0               ⊥              0
-        1               …              …
-        2               …              …
-        3               …              …
-        4               …              …
-        5               …              …
-        6               …              …
+    Vertex          Backpointer
+    ------  -----------------------------
+     Index  Previous Index  Total Penalty
+    ------  --------------  -------------
+         0               ⊥              0
+         1               …              …
+         2               …              …
+         3               …              …
+         4               …              …
+         5               …              …
+         6               …              …
 
     Reversed Path
     ----
-- 
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