From 72b3cfe9273c0307608a438e53e7e79d8589c06b Mon Sep 17 00:00:00 2001
From: Subham1999 <subhamsantra2016@gmail.com>
Date: Wed, 28 Aug 2024 23:33:57 +0530
Subject: [PATCH 1/4] added palindrome-partitioning first-code

---
 .idea/workspace.xml                           | 51 +++++++++-------
 .../backtracking/PalindromePartitioning.java  | 60 +++++++++++++++++++
 2 files changed, 90 insertions(+), 21 deletions(-)
 create mode 100644 src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java

diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index 82f9d54..23203ed 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -4,8 +4,8 @@
     <option name="autoReloadType" value="SELECTIVE" />
   </component>
   <component name="ChangeListManager">
-    <list default="true" id="d1dce324-e0e9-40ed-8855-0f1c77b6fb86" name="Changes" comment="CombinationSumII.java added">
-      <change afterPath="$PROJECT_DIR$/src/main/java/com/thealgorithm/backtracking/WordSearch.java" afterDir="false" />
+    <list default="true" id="d1dce324-e0e9-40ed-8855-0f1c77b6fb86" name="Changes" comment="WordSearch.java added">
+      <change afterPath="$PROJECT_DIR$/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
     </list>
     <option name="SHOW_DIALOG" value="false" />
@@ -73,29 +73,29 @@
     <option name="hideEmptyMiddlePackages" value="true" />
     <option name="showLibraryContents" value="true" />
   </component>
-  <component name="PropertiesComponent">{
-  &quot;keyToString&quot;: {
-    &quot;ASKED_SHARE_PROJECT_CONFIGURATION_FILES&quot;: &quot;true&quot;,
-    &quot;RunOnceActivity.OpenProjectViewOnStart&quot;: &quot;true&quot;,
-    &quot;RunOnceActivity.ShowReadmeOnStart&quot;: &quot;true&quot;,
-    &quot;SHARE_PROJECT_CONFIGURATION_FILES&quot;: &quot;true&quot;,
-    &quot;git-widget-placeholder&quot;: &quot;back__tracking&quot;,
-    &quot;onboarding.tips.debug.path&quot;: &quot;/Users/subhamsantra/Projects/Interview/TheAlgorithm/src/main/java/com/subham/ta/Main.java&quot;,
-    &quot;settings.editor.selected.configurable&quot;: &quot;fileTemplates&quot;
+  <component name="PropertiesComponent"><![CDATA[{
+  "keyToString": {
+    "ASKED_SHARE_PROJECT_CONFIGURATION_FILES": "true",
+    "RunOnceActivity.OpenProjectViewOnStart": "true",
+    "RunOnceActivity.ShowReadmeOnStart": "true",
+    "SHARE_PROJECT_CONFIGURATION_FILES": "true",
+    "git-widget-placeholder": "back__tracking",
+    "onboarding.tips.debug.path": "/Users/subhamsantra/Projects/Interview/TheAlgorithm/src/main/java/com/subham/ta/Main.java",
+    "settings.editor.selected.configurable": "preferences.lookFeel"
   }
-}</component>
+}]]></component>
   <component name="RecentsManager">
     <key name="CreateClassDialog.RecentsKey">
       <recent name="com.subham.ta.graph" />
     </key>
   </component>
-  <component name="RunManager" selected="Application.WordSearch">
-    <configuration name="CombinationSumI" type="Application" factoryName="Application" temporary="true" nameIsGenerated="true">
-      <option name="MAIN_CLASS_NAME" value="com.subham.ta.backtracking.CombinationSumI" />
+  <component name="RunManager" selected="Application.PalindromePartitioning">
+    <configuration name="CombinationSumII" type="Application" factoryName="Application" temporary="true" nameIsGenerated="true">
+      <option name="MAIN_CLASS_NAME" value="com.thealgorithm.backtracking.CombinationSumII" />
       <module name="TheAlgorithm" />
       <extension name="coverage">
         <pattern>
-          <option name="PATTERN" value="com.subham.ta.backtracking.*" />
+          <option name="PATTERN" value="com.thealgorithm.backtracking.*" />
           <option name="ENABLED" value="true" />
         </pattern>
       </extension>
@@ -103,8 +103,8 @@
         <option name="Make" enabled="true" />
       </method>
     </configuration>
-    <configuration name="CombinationSumII" type="Application" factoryName="Application" temporary="true" nameIsGenerated="true">
-      <option name="MAIN_CLASS_NAME" value="com.thealgorithm.backtracking.CombinationSumII" />
+    <configuration name="PalindromePartitioning" type="Application" factoryName="Application" temporary="true" nameIsGenerated="true">
+      <option name="MAIN_CLASS_NAME" value="com.thealgorithm.backtracking.PalindromePartitioning" />
       <module name="TheAlgorithm" />
       <extension name="coverage">
         <pattern>
@@ -157,11 +157,11 @@
     </configuration>
     <recent_temporary>
       <list>
+        <item itemvalue="Application.PalindromePartitioning" />
         <item itemvalue="Application.WordSearch" />
         <item itemvalue="Application.CombinationSumII" />
         <item itemvalue="Application.SubsetsII" />
         <item itemvalue="Application.PermutationI" />
-        <item itemvalue="Application.CombinationSumI" />
       </list>
     </recent_temporary>
   </component>
@@ -366,7 +366,15 @@
       <option name="project" value="LOCAL" />
       <updated>1724738320689</updated>
     </task>
-    <option name="localTasksCounter" value="25" />
+    <task id="LOCAL-00025" summary="WordSearch.java added">
+      <option name="closed" value="true" />
+      <created>1724742612046</created>
+      <option name="number" value="00025" />
+      <option name="presentableId" value="LOCAL-00025" />
+      <option name="project" value="LOCAL" />
+      <updated>1724742612046</updated>
+    </task>
+    <option name="localTasksCounter" value="26" />
     <servers />
   </component>
   <component name="Vcs.Log.Tabs.Properties">
@@ -394,7 +402,8 @@
     <MESSAGE value="backtracking started" />
     <MESSAGE value="Nothing" />
     <MESSAGE value="CombinationSumII.java added" />
-    <option name="LAST_COMMIT_MESSAGE" value="CombinationSumII.java added" />
+    <MESSAGE value="WordSearch.java added" />
+    <option name="LAST_COMMIT_MESSAGE" value="WordSearch.java added" />
   </component>
   <component name="XDebuggerManager">
     <breakpoint-manager>
diff --git a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
new file mode 100644
index 0000000..eb8b250
--- /dev/null
+++ b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
@@ -0,0 +1,60 @@
+package com.thealgorithm.backtracking;
+
+import java.util.ArrayList;
+import java.util.List;
+
+/**
+ * @author: Subham Santra
+ */
+public class PalindromePartitioning {
+
+  public List<List<String>> partition(String s) {
+    List<List<String>> possiblePalindromes = new ArrayList<>();
+
+    partition(s, 0, s.length() - 1, new ArrayList<>(), possiblePalindromes);
+
+    return possiblePalindromes;
+  }
+
+  void partition(
+      String s, int lo, int hi, List<String> current, List<List<String>> possiblePalindromes) {
+    // System.out.println(current);
+    if (lo > hi) {
+      return;
+    }
+
+    for (int p = lo; p <= hi; ++p) {
+      if (isPalindrome(s, lo, p)) {
+        current.addLast(s.substring(lo, p + 1));
+        partition(s, p + 1, hi, current, possiblePalindromes);
+
+        if (validList(current, s.length())) {
+          possiblePalindromes.addFirst(new ArrayList<>(current));
+        }
+
+        current.removeLast();
+      }
+    }
+  }
+
+  boolean isPalindrome(String s, int l, int h) {
+    for (; l <= h; ++l, --h) {
+      if (s.charAt(l) != s.charAt(h)) return false;
+    }
+    return true;
+  }
+
+  boolean validList(List<String> list, int n) {
+    int x = 0;
+    for (String s : list) x += s.length();
+    return x == n;
+  }
+
+  public static void main(String[] args) {
+    System.out.println(new PalindromePartitioning().partition("baab"));
+    System.out.println(new PalindromePartitioning().partition("A"));
+    System.out.println(new PalindromePartitioning().partition("aab"));
+    System.out.println(new PalindromePartitioning().partition(""));
+    System.out.println(new PalindromePartitioning().partition("aababbababbabbabba"));
+  }
+}

From 119ce56a4795e0ab4b4e1d24bc4a99caeb7d0472 Mon Sep 17 00:00:00 2001
From: Subham1999 <subhamsantra2016@gmail.com>
Date: Wed, 28 Aug 2024 23:50:32 +0530
Subject: [PATCH 2/4] improved the algorithm

---
 .idea/workspace.xml                           |  2 +-
 .../backtracking/PalindromePartitioning.java  | 40 ++++++++-----------
 2 files changed, 18 insertions(+), 24 deletions(-)

diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index 23203ed..92cd1eb 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -5,8 +5,8 @@
   </component>
   <component name="ChangeListManager">
     <list default="true" id="d1dce324-e0e9-40ed-8855-0f1c77b6fb86" name="Changes" comment="WordSearch.java added">
-      <change afterPath="$PROJECT_DIR$/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java" beforeDir="false" afterPath="$PROJECT_DIR$/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java" afterDir="false" />
     </list>
     <option name="SHOW_DIALOG" value="false" />
     <option name="HIGHLIGHT_CONFLICTS" value="true" />
diff --git a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
index eb8b250..a06bca4 100644
--- a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
+++ b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
@@ -8,46 +8,40 @@
  */
 public class PalindromePartitioning {
 
+  Boolean[][] memo;
+
   public List<List<String>> partition(String s) {
+    memo = new Boolean[s.length()][s.length()];
     List<List<String>> possiblePalindromes = new ArrayList<>();
-
-    partition(s, 0, s.length() - 1, new ArrayList<>(), possiblePalindromes);
-
+    partition(s, 0, new ArrayList<>(), possiblePalindromes);
     return possiblePalindromes;
   }
 
-  void partition(
-      String s, int lo, int hi, List<String> current, List<List<String>> possiblePalindromes) {
-    // System.out.println(current);
-    if (lo > hi) {
+  void partition(String s, int lo, List<String> current, List<List<String>> possiblePalindromes) {
+    if (lo == s.length()) {
+      possiblePalindromes.addFirst(new ArrayList<>(current));
       return;
     }
 
-    for (int p = lo; p <= hi; ++p) {
+    for (int p = lo; p < s.length(); ++p) {
       if (isPalindrome(s, lo, p)) {
         current.addLast(s.substring(lo, p + 1));
-        partition(s, p + 1, hi, current, possiblePalindromes);
-
-        if (validList(current, s.length())) {
-          possiblePalindromes.addFirst(new ArrayList<>(current));
-        }
-
+        partition(s, p + 1, current, possiblePalindromes);
         current.removeLast();
       }
     }
   }
 
   boolean isPalindrome(String s, int l, int h) {
-    for (; l <= h; ++l, --h) {
-      if (s.charAt(l) != s.charAt(h)) return false;
+    if (memo[l][h] == null) {
+      for (int i = l, j = h; i <= j; ++i, --j) {
+        if (s.charAt(i) != s.charAt(j)) {
+          return memo[l][h] = false;
+        }
+      }
+      return memo[l][h] = true;
     }
-    return true;
-  }
-
-  boolean validList(List<String> list, int n) {
-    int x = 0;
-    for (String s : list) x += s.length();
-    return x == n;
+    return memo[l][h];
   }
 
   public static void main(String[] args) {

From 9084412d1321b2d21a3a19098b7e7dacfd30634f Mon Sep 17 00:00:00 2001
From: Subham1999 <subhamsantra2016@gmail.com>
Date: Thu, 29 Aug 2024 00:00:59 +0530
Subject: [PATCH 3/4] modified the doc

---
 .../com/thealgorithm/backtracking/PalindromePartitioning.java  | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
index a06bca4..fa835ec 100644
--- a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
+++ b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
@@ -5,6 +5,9 @@
 
 /**
  * @author: Subham Santra
+ * @implNote
+ *     <p>This is a pure back-tracking approach This problem can be solved using dynamic programming
+ *     also, I will add DP code in DP section
  */
 public class PalindromePartitioning {
 

From 5ac0dd387aba7d143c2fa0f734d6585eba78dc27 Mon Sep 17 00:00:00 2001
From: Subham1999 <subhamsantra2016@gmail.com>
Date: Thu, 29 Aug 2024 00:01:50 +0530
Subject: [PATCH 4/4] modified the doc

---
 .../com/thealgorithm/backtracking/PalindromePartitioning.java   | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
index fa835ec..004b662 100644
--- a/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
+++ b/src/main/java/com/thealgorithm/backtracking/PalindromePartitioning.java
@@ -7,7 +7,7 @@
  * @author: Subham Santra
  * @implNote
  *     <p>This is a pure back-tracking approach This problem can be solved using dynamic programming
- *     also, I will add DP code in DP section
+ *     also, I will add DP code in DP section</p>
  */
 public class PalindromePartitioning {