From e6715f3686d1f45ca261052fb7ff861eb0814329 Mon Sep 17 00:00:00 2001
From: Corwin Perren <caperren@gmail.com>
Date: Sat, 17 Feb 2018 00:04:24 -0800
Subject: [PATCH] Didn't get very far with hw5

---
 .../.idea/CS 325 - Analysis of Algorithms.iml |   2 +-
 .../.idea/misc.xml                            |   2 +-
 .../.idea/workspace.xml                       | 152 ++++++++++--------
 .../HW 5/hw5.py                               |  66 ++++++++
 4 files changed, 157 insertions(+), 65 deletions(-)

diff --git a/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/CS 325 - Analysis of Algorithms.iml b/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/CS 325 - Analysis of Algorithms.iml
index e9de3de..c8efcbb 100644
--- a/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/CS 325 - Analysis of Algorithms.iml	
+++ b/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/CS 325 - Analysis of Algorithms.iml	
@@ -2,7 +2,7 @@
 <module type="PYTHON_MODULE" version="4">
   <component name="NewModuleRootManager">
     <content url="file://$MODULE_DIR$" />
-    <orderEntry type="jdk" jdkName="Python 3.5" jdkType="Python SDK" />
+    <orderEntry type="jdk" jdkName="Python 3.6" jdkType="Python SDK" />
     <orderEntry type="sourceFolder" forTests="false" />
   </component>
   <component name="TestRunnerService">
diff --git a/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/misc.xml b/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/misc.xml
index 6c993b7..65531ca 100644
--- a/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/misc.xml	
+++ b/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/misc.xml	
@@ -1,4 +1,4 @@
 <?xml version="1.0" encoding="UTF-8"?>
 <project version="4">
-  <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.5" project-jdk-type="Python SDK" />
+  <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.6" project-jdk-type="Python SDK" />
 </project>
\ No newline at end of file
diff --git a/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/workspace.xml b/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/workspace.xml
index d6a1708..6077752 100644
--- a/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/workspace.xml	
+++ b/OSU Coursework/CS 325 - Analysis of Algorithms/.idea/workspace.xml	
@@ -11,20 +11,45 @@
   </component>
   <component name="CoverageDataManager">
     <SUITE FILE_PATH="coverage/CS_325___Analysis_of_Algorithms$test.coverage" NAME="test Coverage Results" MODIFIED="1517016348937" SOURCE_PROVIDER="com.intellij.coverage.DefaultCoverageFileProvider" RUNNER="coverage.py" COVERAGE_BY_TEST_ENABLED="true" COVERAGE_TRACING_ENABLED="false" WORKING_DIRECTORY="$PROJECT_DIR$" />
+    <SUITE FILE_PATH="coverage/CS_325___Analysis_of_Algorithms$HW_5.coverage" NAME="HW 5 Coverage Results" MODIFIED="1518853467198" SOURCE_PROVIDER="com.intellij.coverage.DefaultCoverageFileProvider" RUNNER="coverage.py" COVERAGE_BY_TEST_ENABLED="true" COVERAGE_TRACING_ENABLED="false" WORKING_DIRECTORY="$PROJECT_DIR$/HW 5" />
     <SUITE FILE_PATH="coverage/CS_325___Analysis_of_Algorithms$HW_2.coverage" NAME="HW 2 Coverage Results" MODIFIED="1517020025345" SOURCE_PROVIDER="com.intellij.coverage.DefaultCoverageFileProvider" RUNNER="coverage.py" COVERAGE_BY_TEST_ENABLED="true" COVERAGE_TRACING_ENABLED="false" WORKING_DIRECTORY="$PROJECT_DIR$/HW 2" />
   </component>
   <component name="FileEditorManager">
-    <leaf>
-      <file leaf-file-name="hw2.py" pinned="false" current-in-tab="true">
+    <leaf SIDE_TABS_SIZE_LIMIT_KEY="300">
+      <file leaf-file-name="hw2.py" pinned="false" current-in-tab="false">
         <entry file="file://$PROJECT_DIR$/HW 2/hw2.py">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="1548">
-              <caret line="86" column="31" lean-forward="true" selection-start-line="86" selection-start-column="31" selection-end-line="86" selection-end-column="31" />
+            <state relative-caret-position="160">
+              <caret line="107" column="56" lean-forward="false" selection-start-line="107" selection-start-column="56" selection-end-line="107" selection-end-column="56" />
               <folding />
             </state>
           </provider>
         </entry>
       </file>
+      <file leaf-file-name="hw4.py" pinned="false" current-in-tab="false">
+        <entry file="file://$PROJECT_DIR$/HW 4/hw4.py">
+          <provider selected="true" editor-type-id="text-editor">
+            <state relative-caret-position="0">
+              <caret line="0" column="0" lean-forward="false" selection-start-line="0" selection-start-column="0" selection-end-line="0" selection-end-column="0" />
+              <folding>
+                <element signature="e#0#26#0" expanded="true" />
+              </folding>
+            </state>
+          </provider>
+        </entry>
+      </file>
+      <file leaf-file-name="hw5.py" pinned="false" current-in-tab="true">
+        <entry file="file://$PROJECT_DIR$/HW 5/hw5.py">
+          <provider selected="true" editor-type-id="text-editor">
+            <state relative-caret-position="153">
+              <caret line="9" column="0" lean-forward="true" selection-start-line="9" selection-start-column="0" selection-end-line="9" selection-end-column="0" />
+              <folding>
+                <element signature="e#0#21#0" expanded="true" />
+              </folding>
+            </state>
+          </provider>
+        </entry>
+      </file>
     </leaf>
   </component>
   <component name="FileTemplateManagerImpl">
@@ -39,6 +64,7 @@
       <list>
         <option value="$PROJECT_DIR$/temp.py" />
         <option value="$PROJECT_DIR$/HW 2/hw2.py" />
+        <option value="$PROJECT_DIR$/HW 5/hw5.py" />
       </list>
     </option>
   </component>
@@ -49,10 +75,10 @@
     <sorting>DEFINITION_ORDER</sorting>
   </component>
   <component name="ProjectFrameBounds" extendedState="6">
-    <option name="x" value="772" />
-    <option name="y" value="1428" />
-    <option name="width" value="1400" />
-    <option name="height" value="1000" />
+    <option name="x" value="-8" />
+    <option name="y" value="-8" />
+    <option name="width" value="2576" />
+    <option name="height" value="1426" />
   </component>
   <component name="ProjectView">
     <navigator currentView="ProjectPane" proportions="" version="1">
@@ -77,6 +103,16 @@
               <item name="CS 325 - Analysis of Algorithms" type="b2602c69:ProjectViewProjectNode" />
               <item name="CS 325 - Analysis of Algorithms" type="462c0819:PsiDirectoryNode" />
             </path>
+            <path>
+              <item name="CS 325 - Analysis of Algorithms" type="b2602c69:ProjectViewProjectNode" />
+              <item name="CS 325 - Analysis of Algorithms" type="462c0819:PsiDirectoryNode" />
+              <item name="HW 4" type="462c0819:PsiDirectoryNode" />
+            </path>
+            <path>
+              <item name="CS 325 - Analysis of Algorithms" type="b2602c69:ProjectViewProjectNode" />
+              <item name="CS 325 - Analysis of Algorithms" type="462c0819:PsiDirectoryNode" />
+              <item name="HW 5" type="462c0819:PsiDirectoryNode" />
+            </path>
           </expand>
           <select />
         </subPane>
@@ -88,7 +124,7 @@
     <property name="nodejs_interpreter_path.stuck_in_default_project" value="undefined stuck path" />
     <property name="WebServerToolWindowFactoryState" value="false" />
     <property name="settings.editor.selected.configurable" value="com.jetbrains.python.configuration.PyActiveSdkModuleConfigurable" />
-    <property name="last_opened_file_path" value="$PROJECT_DIR$/temp.py" />
+    <property name="last_opened_file_path" value="$PROJECT_DIR$/HW 5/hw5.py" />
     <property name="restartRequiresConfirmation" value="false" />
   </component>
   <component name="RunDashboard">
@@ -103,49 +139,26 @@
       </list>
     </option>
   </component>
-  <component name="RunManager" selected="Python.HW 2">
-    <configuration name="HW 2" type="PythonConfigurationType" factoryName="Python" singleton="true">
+  <component name="RunManager">
+    <configuration name="HW 5" type="PythonConfigurationType" factoryName="Python" singleton="true">
       <option name="INTERPRETER_OPTIONS" value="" />
       <option name="PARENT_ENVS" value="true" />
       <envs>
         <env name="PYTHONUNBUFFERED" value="1" />
       </envs>
-      <option name="SDK_HOME" value="/usr/bin/python3" />
-      <option name="WORKING_DIRECTORY" value="$PROJECT_DIR$/HW 2" />
-      <option name="IS_MODULE_SDK" value="false" />
+      <option name="SDK_HOME" value="" />
+      <option name="WORKING_DIRECTORY" value="$PROJECT_DIR$/HW 5" />
+      <option name="IS_MODULE_SDK" value="true" />
       <option name="ADD_CONTENT_ROOTS" value="true" />
       <option name="ADD_SOURCE_ROOTS" value="true" />
       <module name="CS 325 - Analysis of Algorithms" />
       <EXTENSION ID="PythonCoverageRunConfigurationExtension" enabled="false" sample_coverage="true" runner="coverage.py" />
-      <option name="SCRIPT_NAME" value="$PROJECT_DIR$/HW 2/hw2.py" />
+      <option name="SCRIPT_NAME" value="$PROJECT_DIR$/HW 5/hw5.py" />
       <option name="PARAMETERS" value="" />
       <option name="SHOW_COMMAND_LINE" value="false" />
       <option name="EMULATE_TERMINAL" value="false" />
       <option name="MODULE_MODE" value="false" />
     </configuration>
-    <configuration name="test" type="PythonConfigurationType" factoryName="Python" singleton="true">
-      <option name="INTERPRETER_OPTIONS" value="" />
-      <option name="PARENT_ENVS" value="true" />
-      <envs>
-        <env name="PYTHONUNBUFFERED" value="1" />
-      </envs>
-      <option name="SDK_HOME" value="/usr/bin/python3" />
-      <option name="WORKING_DIRECTORY" value="$PROJECT_DIR$" />
-      <option name="IS_MODULE_SDK" value="false" />
-      <option name="ADD_CONTENT_ROOTS" value="true" />
-      <option name="ADD_SOURCE_ROOTS" value="true" />
-      <module name="CS 325 - Analysis of Algorithms" />
-      <EXTENSION ID="PythonCoverageRunConfigurationExtension" enabled="false" sample_coverage="true" runner="coverage.py" />
-      <option name="SCRIPT_NAME" value="$PROJECT_DIR$/temp.py" />
-      <option name="PARAMETERS" value="" />
-      <option name="SHOW_COMMAND_LINE" value="false" />
-      <option name="EMULATE_TERMINAL" value="false" />
-      <option name="MODULE_MODE" value="false" />
-    </configuration>
-    <list size="2">
-      <item index="0" class="java.lang.String" itemvalue="Python.HW 2" />
-      <item index="1" class="java.lang.String" itemvalue="Python.test" />
-    </list>
   </component>
   <component name="ShelveChangesManager" show_recycled="false">
     <option name="remove_strategy" value="false" />
@@ -164,28 +177,27 @@
     <servers />
   </component>
   <component name="ToolWindowManager">
-    <frame x="26" y="1080" width="2538" height="1444" extended-state="6" />
-    <editor active="true" />
+    <frame x="-8" y="-8" width="2576" height="1426" extended-state="6" />
     <layout>
       <window_info id="TODO" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.33" sideWeight="0.5" order="11" side_tool="false" content_ui="tabs" />
       <window_info id="Event Log" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.33" sideWeight="0.5" order="0" side_tool="true" content_ui="tabs" />
-      <window_info id="Run" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.47786948" sideWeight="0.5" order="7" side_tool="false" content_ui="tabs" />
+      <window_info id="Run" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.47753236" sideWeight="0.5" order="7" side_tool="false" content_ui="tabs" />
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       <window_info id="Python Console" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.17629407" sideWeight="0.5" order="2" side_tool="false" content_ui="tabs" />
       <window_info id="Terminal" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.33" sideWeight="0.5" order="3" side_tool="false" content_ui="tabs" />
-      <window_info id="Project" active="false" anchor="left" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="true" show_stripe_button="true" weight="0.13715415" sideWeight="0.5" order="1" side_tool="false" content_ui="combo" />
+      <window_info id="Project" active="false" anchor="left" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="true" show_stripe_button="true" weight="0.13710937" sideWeight="0.5" order="1" side_tool="false" content_ui="combo" />
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+      <window_info id="Debug" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.3998477" sideWeight="0.5" order="8" side_tool="false" content_ui="tabs" />
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-      <window_info id="Hierarchy" active="false" anchor="right" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.25" sideWeight="0.5" order="4" side_tool="false" content_ui="combo" />
       <window_info id="Message" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.33" sideWeight="0.5" order="5" side_tool="false" content_ui="tabs" />
       <window_info id="Commander" active="false" anchor="right" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.4" sideWeight="0.5" order="2" side_tool="false" content_ui="tabs" />
-      <window_info id="Find" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.33" sideWeight="0.5" order="6" side_tool="false" content_ui="tabs" />
       <window_info id="Inspection" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.4" sideWeight="0.5" order="10" side_tool="false" content_ui="tabs" />
+      <window_info id="Hierarchy" active="false" anchor="right" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.25" sideWeight="0.5" order="4" side_tool="false" content_ui="combo" />
+      <window_info id="Find" active="false" anchor="bottom" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.33" sideWeight="0.5" order="6" side_tool="false" content_ui="tabs" />
       <window_info id="Ant Build" active="false" anchor="right" auto_hide="false" internal_type="DOCKED" type="DOCKED" visible="false" show_stripe_button="true" weight="0.25" sideWeight="0.5" order="3" side_tool="false" content_ui="tabs" />
     </layout>
     <layout-to-restore>
@@ -231,29 +243,43 @@
     <watches-manager />
   </component>
   <component name="editorHistoryManager">
-    <entry file="file:///usr/lib/python3.5/timeit.py">
-      <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="288">
-          <caret line="129" column="0" lean-forward="false" selection-start-line="129" selection-start-column="0" selection-end-line="129" selection-end-column="0" />
-          <folding />
-        </state>
-      </provider>
-    </entry>
-    <entry file="file://$PROJECT_DIR$/temp.py">
-      <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="306">
-          <caret line="17" column="24" lean-forward="true" selection-start-line="17" selection-start-column="24" selection-end-line="17" selection-end-column="24" />
-          <folding />
-        </state>
-      </provider>
-    </entry>
     <entry file="file://$PROJECT_DIR$/HW 2/hw2.py">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="1548">
-          <caret line="86" column="31" lean-forward="true" selection-start-line="86" selection-start-column="31" selection-end-line="86" selection-end-column="31" />
+        <state relative-caret-position="0">
+          <caret line="0" column="0" lean-forward="false" selection-start-line="0" selection-start-column="0" selection-end-line="0" selection-end-column="0" />
           <folding />
         </state>
       </provider>
     </entry>
+    <entry file="file:///usr/lib/python3.5/timeit.py" />
+    <entry file="file://$PROJECT_DIR$/temp.py" />
+    <entry file="file://$PROJECT_DIR$/HW 2/hw2.py">
+      <provider selected="true" editor-type-id="text-editor">
+        <state relative-caret-position="160">
+          <caret line="107" column="56" lean-forward="false" selection-start-line="107" selection-start-column="56" selection-end-line="107" selection-end-column="56" />
+          <folding />
+        </state>
+      </provider>
+    </entry>
+    <entry file="file://$PROJECT_DIR$/HW 4/hw4.py">
+      <provider selected="true" editor-type-id="text-editor">
+        <state relative-caret-position="0">
+          <caret line="0" column="0" lean-forward="false" selection-start-line="0" selection-start-column="0" selection-end-line="0" selection-end-column="0" />
+          <folding>
+            <element signature="e#0#26#0" expanded="true" />
+          </folding>
+        </state>
+      </provider>
+    </entry>
+    <entry file="file://$PROJECT_DIR$/HW 5/hw5.py">
+      <provider selected="true" editor-type-id="text-editor">
+        <state relative-caret-position="153">
+          <caret line="9" column="0" lean-forward="true" selection-start-line="9" selection-start-column="0" selection-end-line="9" selection-end-column="0" />
+          <folding>
+            <element signature="e#0#21#0" expanded="true" />
+          </folding>
+        </state>
+      </provider>
+    </entry>
   </component>
 </project>
\ No newline at end of file
diff --git a/OSU Coursework/CS 325 - Analysis of Algorithms/HW 5/hw5.py b/OSU Coursework/CS 325 - Analysis of Algorithms/HW 5/hw5.py
index e69de29..9e97a97 100644
--- a/OSU Coursework/CS 325 - Analysis of Algorithms/HW 5/hw5.py	
+++ b/OSU Coursework/CS 325 - Analysis of Algorithms/HW 5/hw5.py	
@@ -0,0 +1,66 @@
+from time import time
+from random import randint
+
+
+def generate_polynomials(k_input):
+    n = 2 ** k_input
+
+    left = [randint(0, 10) for _ in range(n)]
+    right = [randint(0, 10) for _ in range(n)]
+
+    return left, right
+
+
+def iterative_poly_solver(left_coefficients, right_coefficients):
+    result_coefficients = [0 for _ in range(len(left_coefficients) + len(right_coefficients) - 1)]
+
+    for left_index, left_val in enumerate(left_coefficients):
+        for right_index, right_val in enumerate(right_coefficients):
+            result_coefficients[left_index + right_index] = left_val * right_val + result_coefficients[left_index + right_index]
+    return result_coefficients
+
+
+def recursive_poly_solver(left_coefficients, right_coefficients):
+    if len(left_coefficients) == 1 and len(right_coefficients) == 1:
+        return [left_coefficients[0] * right_coefficients[0]]
+
+    halfway = len(left_coefficients) // 2
+
+    left_lower_half = left_coefficients[:halfway]
+    left_higher_half = left_coefficients[halfway:]
+
+    right_lower_half = right_coefficients[:halfway]
+    right_higher_half = right_coefficients[halfway:]
+
+    sum_low_high_left = [0 for _ in range(len(left_lower_half))]
+    sum_low_high_right = [0 for _ in range(len(right_lower_half))]
+
+    for i in range(len(left_lower_half)):
+        sum_low_high_left[i] = left_lower_half[i] + left_higher_half[i]
+        sum_low_high_right[i] = right_lower_half[i] + right_lower_half[i]
+
+    low_left_low_right_multiply = recursive_poly_solver(left_lower_half, right_lower_half)
+    sums_multiple = recursive_poly_solver(sum_low_high_left, sum_low_high_right)
+    high_left_high_right_multiply = recursive_poly_solver(left_higher_half, right_higher_half)
+
+    combined = [0 for _ in range(len(left_coefficients) + len(right_coefficients) - 1)]
+
+    for i in range(len(left_coefficients) - 1):
+        combined[i] += low_left_low_right_multiply[i]
+        combined[i + halfway] += sums_multiple[i] - low_left_low_right_multiply[i] - high_left_high_right_multiply[i]
+        combined[i + 2 * halfway] += high_left_high_right_multiply[i]
+
+    return combined
+
+
+if __name__ == '__main__':
+    for i in range(20):
+        left, right = generate_polynomials(i)
+
+        start = time()
+        iterative_poly_solver(left, right)
+        print("%s\t%s" % (2 ** i, time()-start))
+
+    # for i in range(10):
+    #     left, right = generate_polynomials(i)
+    #         print(recursive_poly_solver(left[0], right[1]))