From 4c9a785e3b7b49c2cf4677509a7a4ca65e4aaae2 Mon Sep 17 00:00:00 2001
From: Jan Pearce <jan_pearce@berea.edu>
Date: Tue, 26 Aug 2025 08:22:01 -0400
Subject: [PATCH 1/3] add import java.util.Arrays;

---
 source/ch7_recursion.ptx | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/source/ch7_recursion.ptx b/source/ch7_recursion.ptx
index 7dc933a..d2cd7bc 100644
--- a/source/ch7_recursion.ptx
+++ b/source/ch7_recursion.ptx
@@ -233,6 +233,8 @@ main()
     </p>
     <program xml:id="array-sum-java-with-helper" interactive="activecode" language="java">
         <code>
+import java.util.Arrays; 
+
 public class ArrayProcessor {
     public static int sumArray(int[] arr) {
         // Handle empty array

From 33f0f1bf9e74bda503a89bf8d0c059c1ea1944b9 Mon Sep 17 00:00:00 2001
From: Jan Pearce <jan_pearce@berea.edu>
Date: Tue, 26 Aug 2025 08:25:26 -0400
Subject: [PATCH 2/3] improve explanation of helper method

---
 source/ch7_recursion.ptx | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/source/ch7_recursion.ptx b/source/ch7_recursion.ptx
index d2cd7bc..1ed5804 100644
--- a/source/ch7_recursion.ptx
+++ b/source/ch7_recursion.ptx
@@ -265,11 +265,11 @@ public class ArrayProcessor {
     </program>
     
     <p>
-        Compare these improved versions with the earlier problematic ones. Notice how much cleaner the method calls become: <c>processor.sum_array(numbers)</c> in Python and <c>sumArray(numbers)</c> in Java. Users no longer need to worry about providing the correct starting index or understanding the internal mechanics of the recursion. The helper method pattern creates a clear separation between what users need to know (just pass an array) and the implementation details (tracking the index through recursion).
+        Compare these improved versions with the earlier problematic ones. Notice how much cleaner the method calls become: <c>processor.sum_array(numbers)</c> in Python and <c>sumArray(numbers)</c> in Java. Users no longer need to worry about providing a starting index or understanding the internal mechanics of the recursion. The helper method pattern creates a clear separation between what users need to know (just pass an array) and the implementation details (tracking the index through recursion).
     </p>
     
     <p>
-        This helper method pattern is essential when your recursive algorithm needs to track additional state (like array positions, accumulated values, or depth counters) that the original caller shouldn't need to provide or care about. It's a fundamental pattern and technique you'll likely use frequently in recursive problem solving.
+        This helper method pattern is invaluable when your recursive algorithm needs to track additional state detailes (like array positions, accumulated values, or depth counters) that the original caller shouldn't need to know about or care about. It's a fundamental pattern and technique you'll likely use frequently in recursive problem solving.
     </p>
 </section>
 

From cbaee736052581ec9d095bf7e7803a8a18d8309b Mon Sep 17 00:00:00 2001
From: Jan Pearce <jan_pearce@berea.edu>
Date: Tue, 26 Aug 2025 08:28:47 -0400
Subject: [PATCH 3/3] fix typo

---
 source/ch7_recursion.ptx | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/source/ch7_recursion.ptx b/source/ch7_recursion.ptx
index 1ed5804..a0d2c01 100644
--- a/source/ch7_recursion.ptx
+++ b/source/ch7_recursion.ptx
@@ -269,7 +269,7 @@ public class ArrayProcessor {
     </p>
     
     <p>
-        This helper method pattern is invaluable when your recursive algorithm needs to track additional state detailes (like array positions, accumulated values, or depth counters) that the original caller shouldn't need to know about or care about. It's a fundamental pattern and technique you'll likely use frequently in recursive problem solving.
+        This helper method pattern is invaluable when your recursive algorithm needs to track additional state details (like array positions, accumulated values, or depth counters) that the original caller shouldn't need to know about or care about. It's a fundamental pattern and technique you'll likely use frequently in recursive problem solving.
     </p>
 </section>