From 6367ea88e64a9e6a414f7a95fe1fc93fc26e0e84 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Fri, 8 Mar 2024 15:22:41 +0100
Subject: [PATCH 01/10] Create DSA_homework2.pdf

---
 DSA_homework2.pdf | Bin 0 -> 97906 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 DSA_homework2.pdf

diff --git a/DSA_homework2.pdf b/DSA_homework2.pdf
new file mode 100644
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From f667321efa571e2dcebb37a05fc6aea00ea083ce Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Fri, 8 Mar 2024 15:29:56 +0100
Subject: [PATCH 02/10] circle calculator page html setup

---
 .DS_Store                        | Bin 0 -> 6148 bytes
 templates/circle_calculator.html |   0
 2 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 .DS_Store
 create mode 100644 templates/circle_calculator.html

diff --git a/.DS_Store b/.DS_Store
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diff --git a/templates/circle_calculator.html b/templates/circle_calculator.html
new file mode 100644
index 0000000..e69de29

From 70f900664c3c9b884de8f82b528b3c96634063b2 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Fri, 8 Mar 2024 16:01:58 +0100
Subject: [PATCH 03/10] 1 a + b

---
 circle.py                        | 26 ++++++++++++++++++++++++++
 flask_app.py                     | 24 +++++++++++++++++++++++-
 templates/circle_calculator.html | 20 ++++++++++++++++++++
 3 files changed, 69 insertions(+), 1 deletion(-)
 create mode 100644 circle.py

diff --git a/circle.py b/circle.py
new file mode 100644
index 0000000..ff1d878
--- /dev/null
+++ b/circle.py
@@ -0,0 +1,26 @@
+# create helper functions for simple circular geometry calculations
+
+from math import pi
+
+class Circle:
+    def __init__ (self, radius):
+        self.radius = radius
+
+    def circle_calculation(radius:float) -> float:
+        """""
+        Calculates perimeter/area of circle with given radius.
+        
+        Parameters:
+            radius (float): radius of given circle
+
+        Returns:
+            float: The perimeter/area of the circle.
+        """""
+        
+        if operation == 'perimeter':
+            result = float(2 * pi *radius) 
+            
+        elif operation == 'area':
+            result == float(pi * radius ** 2)
+       
+        return result
diff --git a/flask_app.py b/flask_app.py
index 8897fa2..a8e50e0 100644
--- a/flask_app.py
+++ b/flask_app.py
@@ -1,6 +1,6 @@
 from flask import Flask, render_template, request
-
 from helper import perform_calculation, convert_to_float
+from circle import Circle
 
 app = Flask(__name__)  # create the instance of the flask class
 
@@ -38,3 +38,25 @@ def calculate():
             return render_template('calculator.html', printed_result="You cannot divide by zero")
 
     return render_template('calculator.html')
+
+
+@app.route('/calculate_circle', methods=['GET', 'POST'])
+def calculate_circle():
+    if request.method == 'POST':
+        radius = request.form['radius']
+        operation = str(request.form['operation'])
+        
+        try:
+            radius = convert_to_float(value=radius)
+        except ValueError:
+            return render_template('circle_calculator.html', printed_result="Cannot perform operation with this input")
+        
+        result = circle_calculation(radius=radius, operation=operation)
+        return render_template('calculator.html', printed_result=str(result))
+            
+    return render_template('circle_calculator.html')
+
+
+
+if __name__ == "__main__":
+    app.run(debug=True)
\ No newline at end of file
diff --git a/templates/circle_calculator.html b/templates/circle_calculator.html
index e69de29..b9d1a27 100644
--- a/templates/circle_calculator.html
+++ b/templates/circle_calculator.html
@@ -0,0 +1,20 @@
+{% extends 'layout.html' %}
+{% block content %}
+    <h1>Circle Calculator</h1>
+    <form method="post">
+        <input type="text" name="radius" placeholder="Input radius" required="required" />
+
+        <label for="operation">Operation</label>
+        <select id="operation" name="operation">
+            <option value="area">Calculate Area</option>
+            <option value="perimeter">Calculate Perimeter</option>
+        </select>
+
+        <button type="submit">Calculate</button>
+    </form>
+
+   <br>
+
+   {{ printed_result }}
+
+{% endblock %}

From 61becab28e3c0118cfc009a02df897aea816aeae Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Fri, 8 Mar 2024 16:49:33 +0100
Subject: [PATCH 04/10] 1c) initial attempt at test cases

---
 circle.py             |  9 ++++++---
 flask_app.py          |  7 +++++--
 templates/layout.html |  1 +
 test_circle.py        | 21 +++++++++++++++++++++
 4 files changed, 33 insertions(+), 5 deletions(-)
 create mode 100644 test_circle.py

diff --git a/circle.py b/circle.py
index ff1d878..958d67c 100644
--- a/circle.py
+++ b/circle.py
@@ -6,7 +6,7 @@ class Circle:
     def __init__ (self, radius):
         self.radius = radius
 
-    def circle_calculation(radius:float) -> float:
+    def circle_calculation(self, operation:str) -> float:
         """""
         Calculates perimeter/area of circle with given radius.
         
@@ -18,9 +18,12 @@ def circle_calculation(radius:float) -> float:
         """""
         
         if operation == 'perimeter':
-            result = float(2 * pi *radius) 
+            result = float(2 * pi * self.radius) 
             
         elif operation == 'area':
-            result == float(pi * radius ** 2)
+            result = float(pi * self.radius ** 2)
        
+        else:
+            raise ValueError("Invalid operation. Please specify 'perimeter' or 'area'.")
+               
         return result
diff --git a/flask_app.py b/flask_app.py
index a8e50e0..c793550 100644
--- a/flask_app.py
+++ b/flask_app.py
@@ -51,8 +51,11 @@ def calculate_circle():
         except ValueError:
             return render_template('circle_calculator.html', printed_result="Cannot perform operation with this input")
         
-        result = circle_calculation(radius=radius, operation=operation)
-        return render_template('calculator.html', printed_result=str(result))
+        #ALSO MAKE IT ROBUST TO NEG NUMBERS
+        
+        circle = Circle(radius)
+        result = circle.circle_calculation(operation=operation)
+        return render_template('circle_calculator.html', printed_result=str(result))
             
     return render_template('circle_calculator.html')
 
diff --git a/templates/layout.html b/templates/layout.html
index 8de2e62..7986008 100644
--- a/templates/layout.html
+++ b/templates/layout.html
@@ -12,6 +12,7 @@ <h1 class="logo"><a href="{{ url_for('home') }}">Home</a></h1>
         <strong><nav>
           <ul class="menu">
             <li><a href="{{ url_for('calculate') }}">General Calculator</a></li>
+            <li><a href="{{ url_for('calculate_circle') }}">Circle Calculator</a></li>
           </ul>
         </nav></strong>
       </div>
diff --git a/test_circle.py b/test_circle.py
new file mode 100644
index 0000000..1eca96f
--- /dev/null
+++ b/test_circle.py
@@ -0,0 +1,21 @@
+
+from circle import Circle
+
+def test_circle_calculation_area():
+    circle = Circle()
+    assert circle.circle_calculation(5, "area") == 78.53981633974483
+    assert circle.circle_calculation(5.0, "area") == 78.53981633974483
+    #assert circle.circle_calculation(-1 "area") == NEED TO MAKE IT ROBUST TO NEG NUMBERS
+    assert circle.circle_calculation(0 "area") == 0
+    assert circle.circle_calculation("HelloWorld" "area") == "Cannot perform operation with this input"
+    
+def test_circle_calculation_perimeter():
+    circle = Circle()
+    assert circle.circle_calculation(5, "perimeter") == 31.41592653589793
+    assert circle.circle_calculation(5.0, "perimeter") == 31.41592653589793
+    #assert circle.circle_calculation(-1 "area") == NEED TO MAKE IT ROBUST TO NEG NUMBERS
+    assert circle.circle_calculation(0 "area") == 0
+    assert circle.circle_calculation("HelloWorld" "area") == "Cannot perform operation with this input"    
+    
+if __name__ == '__main__':
+    unittest.main()
\ No newline at end of file

From d1219964dbfe90c537ad70303444f4734d106fd4 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Fri, 8 Mar 2024 19:07:42 +0100
Subject: [PATCH 05/10] questions 2 & 3

---
 .~lock.questions 2_3.rtf# |    1 +
 questions 2_3.rtf         | 5144 +++++++++++++++++++++++++++++++++++++
 2 files changed, 5145 insertions(+)
 create mode 100644 .~lock.questions 2_3.rtf#
 create mode 100644 questions 2_3.rtf

diff --git a/.~lock.questions 2_3.rtf# b/.~lock.questions 2_3.rtf#
new file mode 100644
index 0000000..d796b41
--- /dev/null
+++ b/.~lock.questions 2_3.rtf#	
@@ -0,0 +1 @@
+,henrybaker,MacBook-Air-35.fritz.box,08.03.2024 19:06,file:///Users/henrybaker/Library/Application%20Support/LibreOffice/4;
\ No newline at end of file
diff --git a/questions 2_3.rtf b/questions 2_3.rtf
new file mode 100644
index 0000000..085806b
--- /dev/null
+++ b/questions 2_3.rtf	
@@ -0,0 +1,5144 @@
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+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls1 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+Function}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+takes a parameter (\u8216\'91input\u8217\'92)}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0
+\u8216\'91}{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+input\u8217\'92 is presumably a list array}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+it iterates over every element in \u8216\'91input\u8217\'92}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+if the first character/value of the element is \u8216\'911\u8217\'92. then this function transforms the whole element to be \u8216\'91None\u8217\'92.}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+It then returns the newly modified array }
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls1 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+given that the \u8216\'91original_array\u8217\'92 first value is a \u8216\'911\u8217\'92, }{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+when it is passed to the function, }{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+the \u8216\'91new array\u8217\'92 will output as [None, 5_2]}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+so the output given from this code chunk is }{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
+\line ["1_3", "5_2"]}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\li1080\ri0\lin1080\rin0\fi0\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+[None, "5_2"]}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls1 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+considering this from the perspective of pointers, }
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+A pointer is when a memory location is encoded and stored in memory itself}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+variables hold pointers to memory locations }
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+so when we are passing \u8216\'91original array\u8217\'92 to \u8216\'91check array\u8217\'92 function, we are passing a reference to the list\u8217\'92s memory location, where the function then directly modifies the list}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+this is directly edited because both the parameter inside the function and the original variable outside the function point to the same memory location}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+as our python func}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+t}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+ion iterates over each element according to its index reference, it is like passing a pointer to the array}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+slide 31 also considers \u8216\'91garbage collection\u8217\'92 \u8211\'96 here if an object in python no longer has any refere}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+n}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+ces pointing to it, it becomes eligible for garbage collection (free up memory). But that is NOT happening here, as bot \u8216\'91original array\u8217\'92 var, and \u8216\'91new array\u8217\'92 var are pointing to it, }{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
+so it remains an active variable}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar{\loch
+variables can act as pointers to data structures in memory, allowing for in-place modifications that are reflected across all references to that data structure.}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
+{\shp{\*\shpinst\shpwr2\shpwrk3\shpbypara\shpbyignore\shptop0\shpbottom4508\shpbxcolumn\shpbxignore\shpleft0\shpright9638{\sp{\sn shapeType}{\sv 75}}{\sp{\sn wzDescription}{\sv }}{\sp{\sn wzName}{\sv }}{\sp{\sn pib}{\sv {\pict\picscalex64\picscaley64\piccropl0\piccropr0\piccropt0\piccropb0\picw1492\pich698\picwgoal14920\pichgoal6980\pngblip
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+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar{\loch
+3:}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
+this is inefficient, brute-force approach}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
+line 2: outer loop, that iterates through each element of the array }
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+each selected index of the array then serves as the starting point of the contiguous subarray}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
+line }{\loch
+4:}{\loch
+ inner loop, }{\loch
+ starts from current element of outer loop (i) to end of the array}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+The variable j represents the ending index of the subarray being considered. This loop expands the subarray one element at a time. ??????????}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+it adds the value of the current element (j) to the sum_subarray variable.}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+This therefore accumulates total sum a all the elements in the inner loop between i  and end of array. ????}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+lines 6 & 7 just update the max sum to the largest value found so far}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+intuitively it is highly inefficient, because the very first calculation will be the largest sum (where we start at i and therefore have the maximum number of elements between i and the end of the list). All subsequent calculations are unnecessary}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+wait, but if it has negative numbers}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+then a larger sum could come from smaller array}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+so Without prior knowledge of the array's contents, it's impossible to know ahead of time which subarray will yield the largest sum. Therefore, the algorithm performs an exhaustive search to ensure it finds the maximum sum}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+there are ways to make this more efficient, but they are beyond my pay grade}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar\loch\fs24\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
+as always, we take the worst case }{\loch
+(seeking upper bound)}{\loch
+:}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+outer loop: runs n times}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+for each of these n iterations, the inner loop runs}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
+inner loop }{\loch
+depends on position of outer loop}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
+worst case: when i = 0}{\loch
+: }
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
+first iteration (i=0): }{\loch
+runs n times }
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
+second iteration }{\loch
+(i=1): n-1 times}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
+third iteration }{\loch
+(i=2): n-2 times}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
+..}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
+final iteration (i=n-1): runs 1 time}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+here is where it is bruite force \u8211\'96 it could take a running sum and work out where there are negative numbers, to be able to adapt and discard as required. Could also know apriori if there are only pos integers (and 0) then it only needs to take first sum}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+to find upper bound on total operations in nested loops: sum iterations of each inner loop for each possible value of outer loop}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+n + (n-1) + (n-2)\u8230\'85 +1}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+well combinatorics known series: (what\u8217\'92s the specific name?)}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+n*(n+1)/2}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
+
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+in big O: we ignore constants: just focus on polynomials of n}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+n * n}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+n^2}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+O(n^2)}
+\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
+= complexity quadratically increases with size or input array}
+\par }
\ No newline at end of file

From 9c4c7f4a381a5ebfce8cc88ba8d3c587d6b50d28 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Fri, 8 Mar 2024 19:09:41 +0100
Subject: [PATCH 06/10] q 2_3

---
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 create mode 100644 .~lock.questions 2_3.docx#
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diff --git a/.~lock.questions 2_3.docx# b/.~lock.questions 2_3.docx#
new file mode 100644
index 0000000..eea7511
--- /dev/null
+++ b/.~lock.questions 2_3.docx#	
@@ -0,0 +1 @@
+,henrybaker,MacBook-Air-35.fritz.box,08.03.2024 19:09,file:///Users/henrybaker/Library/Application%20Support/LibreOffice/4;
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-,henrybaker,MacBook-Air-35.fritz.box,08.03.2024 19:06,file:///Users/henrybaker/Library/Application%20Support/LibreOffice/4;
\ No newline at end of file
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-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls1 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-Function}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-takes a parameter (\u8216\'91input\u8217\'92)}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0
-\u8216\'91}{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-input\u8217\'92 is presumably a list array}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-it iterates over every element in \u8216\'91input\u8217\'92}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-if the first character/value of the element is \u8216\'911\u8217\'92. then this function transforms the whole element to be \u8216\'91None\u8217\'92.}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-It then returns the newly modified array }
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls1 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-given that the \u8216\'91original_array\u8217\'92 first value is a \u8216\'911\u8217\'92, }{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-when it is passed to the function, }{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-the \u8216\'91new array\u8217\'92 will output as [None, 5_2]}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-so the output given from this code chunk is }{\loch\scaps0\caps0\expnd0\expndtw0\i0\b0\loch
-\line ["1_3", "5_2"]}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\li1080\ri0\lin1080\rin0\fi0\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-[None, "5_2"]}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls1 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-considering this from the perspective of pointers, }
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-A pointer is when a memory location is encoded and stored in memory itself}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-variables hold pointers to memory locations }
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-so when we are passing \u8216\'91original array\u8217\'92 to \u8216\'91check array\u8217\'92 function, we are passing a reference to the list\u8217\'92s memory location, where the function then directly modifies the list}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-this is directly edited because both the parameter inside the function and the original variable outside the function point to the same memory location}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-as our python func}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-t}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-ion iterates over each element according to its index reference, it is like passing a pointer to the array}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls1 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-slide 31 also considers \u8216\'91garbage collection\u8217\'92 \u8211\'96 here if an object in python no longer has any refere}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-n}{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-ces pointing to it, it becomes eligible for garbage collection (free up memory). But that is NOT happening here, as bot \u8216\'91original array\u8217\'92 var, and \u8216\'91new array\u8217\'92 var are pointing to it, }{\loch\scaps0\caps0\fs24\expnd0\expndtw0\i0\b0\loch
-so it remains an active variable}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar{\loch
-variables can act as pointers to data structures in memory, allowing for in-place modifications that are reflected across all references to that data structure.}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch
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-4e44ae426082}}}}}
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar{\loch
-3:}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
-this is inefficient, brute-force approach}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
-line 2: outer loop, that iterates through each element of the array }
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-each selected index of the array then serves as the starting point of the contiguous subarray}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
-line }{\loch
-4:}{\loch
- inner loop, }{\loch
- starts from current element of outer loop (i) to end of the array}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-The variable j represents the ending index of the subarray being considered. This loop expands the subarray one element at a time. ??????????}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-it adds the value of the current element (j) to the sum_subarray variable.}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-This therefore accumulates total sum a all the elements in the inner loop between i  and end of array. ????}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-lines 6 & 7 just update the max sum to the largest value found so far}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-intuitively it is highly inefficient, because the very first calculation will be the largest sum (where we start at i and therefore have the maximum number of elements between i and the end of the list). All subsequent calculations are unnecessary}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-wait, but if it has negative numbers}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-then a larger sum could come from smaller array}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-so Without prior knowledge of the array's contents, it's impossible to know ahead of time which subarray will yield the largest sum. Therefore, the algorithm performs an exhaustive search to ensure it finds the maximum sum}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-there are ways to make this more efficient, but they are beyond my pay grade}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar\loch\fs24\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch
-as always, we take the worst case }{\loch
-(seeking upper bound)}{\loch
-:}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-outer loop: runs n times}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-for each of these n iterations, the inner loop runs}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch
-inner loop }{\loch
-depends on position of outer loop}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
-worst case: when i = 0}{\loch
-: }
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
-first iteration (i=0): }{\loch
-runs n times }
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
-second iteration }{\loch
-(i=1): n-1 times}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
-third iteration }{\loch
-(i=2): n-2 times}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
-..}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9642\'3f\tab}\ilvl2\ls2 \li1440\ri0\lin1440\rin0\fi-360\ql\ltrpar{\loch
-final iteration (i=n-1): runs 1 time}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-here is where it is bruite force \u8211\'96 it could take a running sum and work out where there are negative numbers, to be able to adapt and discard as required. Could also know apriori if there are only pos integers (and 0) then it only needs to take first sum}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-to find upper bound on total operations in nested loops: sum iterations of each inner loop for each possible value of outer loop}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-n + (n-1) + (n-2)\u8230\'85 +1}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-well combinatorics known series: (what\u8217\'92s the specific name?)}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-n*(n+1)/2}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch\ql\ltrpar\loch\fs24\loch
-
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u8226\'95\tab}\ilvl0\ls2 \li720\ri0\lin720\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-in big O: we ignore constants: just focus on polynomials of n}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-n * n}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-n^2}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-O(n^2)}
-\par \pard\plain \s0\rtlch\af9\afs24\alang1081 \ltrch\lang2057\langfe2052\hich\af3\loch\widctlpar\hyphpar0\ltrpar\cf0\f3\fs24\lang2057\kerning1\dbch\af11\langfe2052\loch{\listtext\pard\plain \rtlch\af5 \ltrch\hich\af5\loch\f5\dbch\af5 \u9702\'3f\tab}\ilvl1\ls2 \li1080\ri0\lin1080\rin0\fi-360\ql\ltrpar{\loch\fs24\loch
-= complexity quadratically increases with size or input array}
-\par }
\ No newline at end of file

From b02e73272d47d05c46cdccaa1882a820c6f96237 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Wed, 13 Mar 2024 10:06:35 +0100
Subject: [PATCH 07/10] redid CSS, tightened up q2 and 3

---
 .DS_Store                    | Bin 6148 -> 8196 bytes
 .~lock.questions 2_3.docx#   |   1 -
 DS_A_Assignment_2___Q2_3.pdf | Bin 0 -> 125273 bytes
 questions 2_3.docx           | Bin 289749 -> 290592 bytes
 static/.DS_Store             | Bin 0 -> 6148 bytes
 static/main.css              |  38 +++++++++++++++++++++++++++--------
 static/tie_dye.jpg           | Bin 0 -> 681304 bytes
 templates/calculator.html    |   2 +-
 8 files changed, 31 insertions(+), 10 deletions(-)
 delete mode 100644 .~lock.questions 2_3.docx#
 create mode 100644 DS_A_Assignment_2___Q2_3.pdf
 create mode 100644 static/.DS_Store
 create mode 100644 static/tie_dye.jpg

diff --git a/.DS_Store b/.DS_Store
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diff --git a/.~lock.questions 2_3.docx# b/.~lock.questions 2_3.docx#
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diff --git a/static/.DS_Store b/static/.DS_Store
new file mode 100644
index 0000000000000000000000000000000000000000..846bf790500f3c575469e26170df677f5eb875e3
GIT binary patch
literal 6148
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diff --git a/static/main.css b/static/main.css
index dfe5192..4671ed0 100644
--- a/static/main.css
+++ b/static/main.css
@@ -1,10 +1,15 @@
+@import url('https://fonts.googleapis.com/css2?family=Comic+Neue&family=Papyrus&display=swap');
+
+
 /* Global Styles */
 body {
-    font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
-    background-color: #f8f9fa;
+    font-family: 'Comic Neue', cursive, Tahoma, Geneva, Verdana, sans-serif;
+    background-color: #2d7ccb;
     color: #333;
     margin: 0;
     padding: 0;
+    background-image: url('tie_dye.jpg'); 
+    background-size: cover
 }
 
 .container {
@@ -13,6 +18,14 @@ body {
     padding: 20px;
 }
 
+h1 {
+    font-family: 'Comic Sans MS', 'Comic Sans', cursive;
+    font-size: 4em;
+    color: #FFFFFF;
+    font-weight: bold;
+    padding: 20px;
+}
+
 /* Header Styles */
 header {
     background-color: #343a40; /* Dark neutral color for header */
@@ -56,8 +69,12 @@ h1 a {
 
 h1 a:hover {
     color: #ffafcc;
+    text-decoration: underline; /* re-adds underline on hover */
 }
 
+
+
+
 .menu li a:hover {
     color: #bde0fe; /* Light pastel color on hover */
 }
@@ -67,7 +84,7 @@ h1 {
     text-align: center;
     margin-top: 0;
     font-size: 36px;
-    color: #343a40; /* Dark neutral color for heading */
+    color: #ffffff; /* Dark neutral color for heading */
 }
 
 form {
@@ -86,14 +103,19 @@ button {
 }
 
 button {
-    background-color: #343a40; /* Dark neutral color for button */
-    color: #fff;
+    background-color: #FF69B4; 
+    color: #FFFFFF; 
+    font-family: 'Comic Neue', cursive;
     border: none;
+    padding: 10px 20px;
+    text-align: center;
+    display: inline-block;
+    margin: 4px 2px;
     cursor: pointer;
-    font-size: 16px;
-    transition: background-color 0.3s ease; /* Smooth transition for background color change */
+    border-radius: 12px; 
+    transition: background-color 0.3s ease;
 }
 
 button:hover {
-    background-color: #23272b; /* Slightly darker color on hover */
+    background-color: #FFB6C1; 
 }
diff --git a/static/tie_dye.jpg b/static/tie_dye.jpg
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diff --git a/templates/calculator.html b/templates/calculator.html
index 3dd1105..ed6df1c 100644
--- a/templates/calculator.html
+++ b/templates/calculator.html
@@ -1,6 +1,6 @@
 {% extends 'layout.html' %}
 {% block content %}
-	<h1>Calculator</h1>
+	<h1>General Calculator</h1>
     <form method="post">
         <input type="text" name="value1" placeholder="Enter the first number" required="required" />
         <input type="text" name="value2" placeholder="Enter the second number" required="required" />

From d9020b67674bddfd8cc573a3980e3575159802eb Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Wed, 13 Mar 2024 10:52:12 +0100
Subject: [PATCH 08/10] editing test cases

---
 circle.py      |  2 ++
 test_circle.py | 48 ++++++++++++++++++++++++++++++++++--------------
 2 files changed, 36 insertions(+), 14 deletions(-)

diff --git a/circle.py b/circle.py
index 958d67c..b35f8a2 100644
--- a/circle.py
+++ b/circle.py
@@ -16,6 +16,8 @@ def circle_calculation(self, operation:str) -> float:
         Returns:
             float: The perimeter/area of the circle.
         """""
+        if not isinstance(self.radius, (int, float)):
+            return "Cannot perform operation with this input"   
         
         if operation == 'perimeter':
             result = float(2 * pi * self.radius) 
diff --git a/test_circle.py b/test_circle.py
index 1eca96f..e146d2d 100644
--- a/test_circle.py
+++ b/test_circle.py
@@ -1,21 +1,41 @@
 
 from circle import Circle
+from math import isclose
 
 def test_circle_calculation_area():
-    circle = Circle()
-    assert circle.circle_calculation(5, "area") == 78.53981633974483
-    assert circle.circle_calculation(5.0, "area") == 78.53981633974483
-    #assert circle.circle_calculation(-1 "area") == NEED TO MAKE IT ROBUST TO NEG NUMBERS
-    assert circle.circle_calculation(0 "area") == 0
-    assert circle.circle_calculation("HelloWorld" "area") == "Cannot perform operation with this input"
+    circle = Circle(5)
+    assert circle.circle_calculation("area") == 78.53981633974483
+    circle = Circle(5.0)
+    assert circle.circle_calculation("area") == 78.53981633974483
+    circle = Circle(0)
+    assert circle.circle_calculation("area") == 0
+    #circle = Circle(-1)
+    #assert circle.circle_calculation(-1, "area") == "Invalid input for radius" == NEED TO MAKE IT ROBUST TO NEG NUMBERS
+    circle = Circle(0.0001)
+    assert circle.circle_calculation("area") == 3.141592653589793e-08
+    circle = Circle("HelloWorld")
+    assert circle.circle_calculation("area") == "Cannot perform operation with this input"
     
 def test_circle_calculation_perimeter():
-    circle = Circle()
-    assert circle.circle_calculation(5, "perimeter") == 31.41592653589793
-    assert circle.circle_calculation(5.0, "perimeter") == 31.41592653589793
-    #assert circle.circle_calculation(-1 "area") == NEED TO MAKE IT ROBUST TO NEG NUMBERS
-    assert circle.circle_calculation(0 "area") == 0
-    assert circle.circle_calculation("HelloWorld" "area") == "Cannot perform operation with this input"    
+    circle = Circle(5)
+    assert circle.circle_calculation("perimeter") == 31.41592653589793
+    circle = Circle(5.0)
+    assert circle.circle_calculation("perimeter") == 31.41592653589793
+    circle = Circle(0)
+    assert circle.circle_calculation("perimeter") == 0
+    #circle = Circle(-1)
+    #assert circle.circle_calculation(-1, "perimeter") == "Invalid input for radius" == NEED TO MAKE IT ROBUST TO NEG NUMBERS
+    circle = Circle(0.0001)
+    actual_perimeter = circle.circle_calculation("perimeter")
+    expected_perimeter = 0.00062831853071796
+    assert isclose(actual_perimeter, expected_perimeter, rel_tol=1e-9), f"Expected {expected_perimeter}, but got {actual_perimeter}"
+    circle = Circle("HelloWorld")
+    assert circle.circle_calculation("area") == "Cannot perform operation with this input"    
+
+def run_tests():
+    test_circle_calculation_area()
+    test_circle_calculation_perimeter()
+    print("All tests passed!") # if any assertions fail, AssertionError will be raised
     
-if __name__ == '__main__':
-    unittest.main()
\ No newline at end of file
+if __name__ == "__main__":
+    run_tests()
\ No newline at end of file

From df7c50ed16c01a6f4bdf019ae88c82e59b9c9c56 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Wed, 13 Mar 2024 12:19:38 +0100
Subject: [PATCH 09/10] robust to neg number

---
 circle.py       | 3 +++
 flask_app.py    | 2 --
 static/main.css | 3 ++-
 test_circle.py  | 8 ++++----
 4 files changed, 9 insertions(+), 7 deletions(-)

diff --git a/circle.py b/circle.py
index b35f8a2..1b0f699 100644
--- a/circle.py
+++ b/circle.py
@@ -19,6 +19,9 @@ def circle_calculation(self, operation:str) -> float:
         if not isinstance(self.radius, (int, float)):
             return "Cannot perform operation with this input"   
         
+        if self.radius < 0:
+            return "Invalid input for radius"
+        
         if operation == 'perimeter':
             result = float(2 * pi * self.radius) 
             
diff --git a/flask_app.py b/flask_app.py
index c793550..c2d2b63 100644
--- a/flask_app.py
+++ b/flask_app.py
@@ -51,8 +51,6 @@ def calculate_circle():
         except ValueError:
             return render_template('circle_calculator.html', printed_result="Cannot perform operation with this input")
         
-        #ALSO MAKE IT ROBUST TO NEG NUMBERS
-        
         circle = Circle(radius)
         result = circle.circle_calculation(operation=operation)
         return render_template('circle_calculator.html', printed_result=str(result))
diff --git a/static/main.css b/static/main.css
index 4671ed0..3b241c9 100644
--- a/static/main.css
+++ b/static/main.css
@@ -4,8 +4,9 @@
 /* Global Styles */
 body {
     font-family: 'Comic Neue', cursive, Tahoma, Geneva, Verdana, sans-serif;
+    font-size: 1em;
     background-color: #2d7ccb;
-    color: #333;
+    color: #ffffff;
     margin: 0;
     padding: 0;
     background-image: url('tie_dye.jpg'); 
diff --git a/test_circle.py b/test_circle.py
index e146d2d..a9bfdd2 100644
--- a/test_circle.py
+++ b/test_circle.py
@@ -9,8 +9,8 @@ def test_circle_calculation_area():
     assert circle.circle_calculation("area") == 78.53981633974483
     circle = Circle(0)
     assert circle.circle_calculation("area") == 0
-    #circle = Circle(-1)
-    #assert circle.circle_calculation(-1, "area") == "Invalid input for radius" == NEED TO MAKE IT ROBUST TO NEG NUMBERS
+    circle = Circle(-1)
+    assert circle.circle_calculation("area") == "Invalid input for radius" 
     circle = Circle(0.0001)
     assert circle.circle_calculation("area") == 3.141592653589793e-08
     circle = Circle("HelloWorld")
@@ -23,8 +23,8 @@ def test_circle_calculation_perimeter():
     assert circle.circle_calculation("perimeter") == 31.41592653589793
     circle = Circle(0)
     assert circle.circle_calculation("perimeter") == 0
-    #circle = Circle(-1)
-    #assert circle.circle_calculation(-1, "perimeter") == "Invalid input for radius" == NEED TO MAKE IT ROBUST TO NEG NUMBERS
+    circle = Circle(-1)
+    assert circle.circle_calculation("perimeter") == "Invalid input for radius"
     circle = Circle(0.0001)
     actual_perimeter = circle.circle_calculation("perimeter")
     expected_perimeter = 0.00062831853071796

From c8bff954b83fad18210d0653fc1073a7ebfdc186 Mon Sep 17 00:00:00 2001
From: henrycgbaker <henry.c.g.baker@gmail.com>
Date: Wed, 13 Mar 2024 23:19:29 +0100
Subject: [PATCH 10/10] separate tests into individual unit tests

---
 .DS_Store                    | Bin 8196 -> 8196 bytes
 DS_A_Assignment_2.pdf        | Bin 0 -> 131882 bytes
 DS_A_Assignment_2___Q2_3.pdf | Bin 125273 -> 0 bytes
 test_circle.py               |  71 ++++++++++++++++++++++++++++-------
 4 files changed, 57 insertions(+), 14 deletions(-)
 create mode 100644 DS_A_Assignment_2.pdf
 delete mode 100644 DS_A_Assignment_2___Q2_3.pdf

diff --git a/.DS_Store b/.DS_Store
index a3a66be2035bc83962856f62904c960df098f441..928c47927a361818d857cd862851f024e8462b34 100644
GIT binary patch
delta 213
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diff --git a/test_circle.py b/test_circle.py
index a9bfdd2..6177a2d 100644
--- a/test_circle.py
+++ b/test_circle.py
@@ -2,39 +2,82 @@
 from circle import Circle
 from math import isclose
 
-def test_circle_calculation_area():
+# area tests
+def test_circle_calculation_area_int():
     circle = Circle(5)
-    assert circle.circle_calculation("area") == 78.53981633974483
-    circle = Circle(5.0)
-    assert circle.circle_calculation("area") == 78.53981633974483
+    actual_area_5 = circle.circle_calculation('area')
+    expected_area_5 = 78.53981633974483
+    assert isclose(actual_area_5, expected_area_5, rel_tol=1e-9), f"Expected {expected_area_5}, but got {actual_area_5}"
+    
+def test_circle_calculation_area_float():
+    circle = Circle(4.9)
+    actual_area_4_9 = circle.circle_calculation('area')
+    expected_area_4_9 = 75.429639612691
+    assert isclose(actual_area_4_9, expected_area_4_9, rel_tol=1e-9), f"Expected {expected_area_4_9}, but got {actual_area_4_9}"
+
+def test_circle_calculation_area_0():   
     circle = Circle(0)
     assert circle.circle_calculation("area") == 0
+    
+def test_circle_calculation_area_neg():
     circle = Circle(-1)
     assert circle.circle_calculation("area") == "Invalid input for radius" 
+
+def test_circle_calculation_area_tiny():
     circle = Circle(0.0001)
-    assert circle.circle_calculation("area") == 3.141592653589793e-08
+    actual_area_tiny = circle.circle_calculation('area')
+    expected_area_tiny = 3.141592653589793e-08
+    assert isclose(actual_area_tiny, expected_area_tiny, rel_tol=1e-9), f"Expected {expected_area_tiny}, but got {actual_area_tiny}"
+
+def test_circle_calculation_area_string():
     circle = Circle("HelloWorld")
     assert circle.circle_calculation("area") == "Cannot perform operation with this input"
     
-def test_circle_calculation_perimeter():
+# perimeter tests    
+   
+def test_circle_calculation_perimeter_int():
     circle = Circle(5)
-    assert circle.circle_calculation("perimeter") == 31.41592653589793
-    circle = Circle(5.0)
-    assert circle.circle_calculation("perimeter") == 31.41592653589793
+    actual_perimeter_5 = circle.circle_calculation('perimeter')
+    expected_perimeter_5 = 31.41592653589793
+    assert isclose(actual_perimeter_5, expected_perimeter_5, rel_tol=1e-9), f"Expected {expected_area_5}, but got {actual_perimeter_5}"
+    
+def test_circle_calculation_perimeter_float():
+    circle = Circle(4.9)
+    actual_perimeter_4_9 = circle.circle_calculation('perimeter')
+    expected_perimeter_4_9 = 30.78760800518
+    assert isclose(actual_perimeter_4_9, expected_perimeter_4_9, rel_tol=1e-9), f"Expected {expected_perimeter_4_9}, but got {actual_perimeter_4_9}"
+    
+def test_circle_calculation_perimeter_0():
     circle = Circle(0)
     assert circle.circle_calculation("perimeter") == 0
+    
+def test_circle_calculation_perimeter_neg():
     circle = Circle(-1)
     assert circle.circle_calculation("perimeter") == "Invalid input for radius"
+    
+def test_circle_calculation_perimeter_tiny():
     circle = Circle(0.0001)
-    actual_perimeter = circle.circle_calculation("perimeter")
-    expected_perimeter = 0.00062831853071796
-    assert isclose(actual_perimeter, expected_perimeter, rel_tol=1e-9), f"Expected {expected_perimeter}, but got {actual_perimeter}"
+    actual_perimeter_tiny = circle.circle_calculation("perimeter")
+    expected_perimeter_tiny = 0.00062831853071796
+    assert isclose(actual_perimeter_tiny, expected_perimeter_tiny, rel_tol=1e-9), f"Expected {expected_perimeter_tiny}, but got {actual_perimeter_tiny}"
+
+def test_circle_calculation_perimeter_string():
     circle = Circle("HelloWorld")
     assert circle.circle_calculation("area") == "Cannot perform operation with this input"    
 
 def run_tests():
-    test_circle_calculation_area()
-    test_circle_calculation_perimeter()
+    test_circle_calculation_area_int()
+    test_circle_calculation_area_float()
+    test_circle_calculation_area_0()
+    test_circle_calculation_area_neg()
+    test_circle_calculation_area_tiny()
+    test_circle_calculation_area_string()
+    test_circle_calculation_perimeter_int()
+    test_circle_calculation_perimeter_float()
+    test_circle_calculation_perimeter_0()
+    test_circle_calculation_perimeter_neg()
+    test_circle_calculation_perimeter_tiny()
+    test_circle_calculation_perimeter_string()
     print("All tests passed!") # if any assertions fail, AssertionError will be raised
     
 if __name__ == "__main__":