From 50ed2ba9af399724fe9e61c0abeea95c3cd43405 Mon Sep 17 00:00:00 2001
From: chrisss111 <christinecoding10@gmail.com>
Date: Tue, 19 Jul 2022 23:47:39 -0400
Subject: [PATCH] completed exercise

---
 .idea/.gitignore                              |  3 ++
 .idea/Bipartition-Graph.iml                   | 14 ++++++
 .../inspectionProfiles/profiles_settings.xml  |  6 +++
 .idea/misc.xml                                |  4 ++
 .idea/modules.xml                             |  8 +++
 .idea/vcs.xml                                 |  6 +++
 graphs/possible_bipartition.py                | 49 +++++++++++++++++--
 7 files changed, 87 insertions(+), 3 deletions(-)
 create mode 100644 .idea/.gitignore
 create mode 100644 .idea/Bipartition-Graph.iml
 create mode 100644 .idea/inspectionProfiles/profiles_settings.xml
 create mode 100644 .idea/misc.xml
 create mode 100644 .idea/modules.xml
 create mode 100644 .idea/vcs.xml

diff --git a/.idea/.gitignore b/.idea/.gitignore
new file mode 100644
index 0000000..26d3352
--- /dev/null
+++ b/.idea/.gitignore
@@ -0,0 +1,3 @@
+# Default ignored files
+/shelf/
+/workspace.xml
diff --git a/.idea/Bipartition-Graph.iml b/.idea/Bipartition-Graph.iml
new file mode 100644
index 0000000..8e5446a
--- /dev/null
+++ b/.idea/Bipartition-Graph.iml
@@ -0,0 +1,14 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<module type="PYTHON_MODULE" version="4">
+  <component name="NewModuleRootManager">
+    <content url="file://$MODULE_DIR$">
+      <excludeFolder url="file://$MODULE_DIR$/venv" />
+    </content>
+    <orderEntry type="inheritedJdk" />
+    <orderEntry type="sourceFolder" forTests="false" />
+  </component>
+  <component name="PyDocumentationSettings">
+    <option name="format" value="PLAIN" />
+    <option name="myDocStringFormat" value="Plain" />
+  </component>
+</module>
\ No newline at end of file
diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml
new file mode 100644
index 0000000..105ce2d
--- /dev/null
+++ b/.idea/inspectionProfiles/profiles_settings.xml
@@ -0,0 +1,6 @@
+<component name="InspectionProjectProfileManager">
+  <settings>
+    <option name="USE_PROJECT_PROFILE" value="false" />
+    <version value="1.0" />
+  </settings>
+</component>
\ No newline at end of file
diff --git a/.idea/misc.xml b/.idea/misc.xml
new file mode 100644
index 0000000..6aec03f
--- /dev/null
+++ b/.idea/misc.xml
@@ -0,0 +1,4 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.9 (Bipartition-Graph)" project-jdk-type="Python SDK" />
+</project>
\ No newline at end of file
diff --git a/.idea/modules.xml b/.idea/modules.xml
new file mode 100644
index 0000000..f975647
--- /dev/null
+++ b/.idea/modules.xml
@@ -0,0 +1,8 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectModuleManager">
+    <modules>
+      <module fileurl="file://$PROJECT_DIR$/.idea/Bipartition-Graph.iml" filepath="$PROJECT_DIR$/.idea/Bipartition-Graph.iml" />
+    </modules>
+  </component>
+</project>
\ No newline at end of file
diff --git a/.idea/vcs.xml b/.idea/vcs.xml
new file mode 100644
index 0000000..94a25f7
--- /dev/null
+++ b/.idea/vcs.xml
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="VcsDirectoryMappings">
+    <mapping directory="$PROJECT_DIR$" vcs="Git" />
+  </component>
+</project>
\ No newline at end of file
diff --git a/graphs/possible_bipartition.py b/graphs/possible_bipartition.py
index ca55677..3dd0a08 100644
--- a/graphs/possible_bipartition.py
+++ b/graphs/possible_bipartition.py
@@ -5,8 +5,51 @@ def possible_bipartition(dislikes):
     """ Will return True or False if the given graph
         can be bipartitioned without neighboring nodes put
         into the same partition.
-        Time Complexity: ?
-        Space Complexity: ?
+        Time Complexity: O(N + E)
+        Space Complexity: O(N)
     """
-    pass
+
+    if not dislikes:
+        return True
+
+    queue = deque()
+    dogs = set()
+    group_1 = set()
+    group_2 = set()
+
+    if dislikes[0]:
+        start = 0
+    else:
+        start = 1
+
+    queue.append(start)
+    dogs.add(start)
+    group_1.add(start)
+
+    while len(queue):
+        current = queue.popleft()
+
+        for disliked_dog in dislikes[current]:
+            if disliked_dog not in dogs:
+                dogs.add(disliked_dog)
+                queue.append(disliked_dog)
+                if current in group_1:
+                    group_2.add(disliked_dog)
+                else:
+                    group_1.add(disliked_dog)
+            elif disliked_dog in dogs:
+                if current in group_1 and disliked_dog in group_1:
+                    return False
+                elif current in group_2 and disliked_dog in group_2:
+                    return False
+
+    return True
+
+
+
+
+
+
+
+