From 7b3684f1bc38044a5d406fa20d98b3c3449fd98f Mon Sep 17 00:00:00 2001
From: Brandon Rozek <rozekbrandon@gmail.com>
Date: Tue, 5 Apr 2022 10:59:59 -0400
Subject: [PATCH] Added recitation content

---
 content/ta/spring2022/csci2600/_index.md      |   3 +
 .../ta/spring2022/csci2600/recitation11.md    | 152 ++++++++++++++++++
 2 files changed, 155 insertions(+)
 create mode 100644 content/ta/spring2022/csci2600/recitation11.md

diff --git a/content/ta/spring2022/csci2600/_index.md b/content/ta/spring2022/csci2600/_index.md
index d88d61d..3e6f6ba 100644
--- a/content/ta/spring2022/csci2600/_index.md
+++ b/content/ta/spring2022/csci2600/_index.md
@@ -33,3 +33,6 @@ The following are recitations I have prepared for a weekly one hour session:
 
 [Recitation 10](recitation10.pdf)
 - Topics: Design Patterns, Creational Patterns, Structural Patterns, Behavioral Patterns, Builder, Factory, Singleton, Adapter, Decorator, Flyweight, Mediator, Observer, Visitor
+
+[Recitation 11: Exam Review](recitation11)
+
diff --git a/content/ta/spring2022/csci2600/recitation11.md b/content/ta/spring2022/csci2600/recitation11.md
new file mode 100644
index 0000000..2559b38
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+++ b/content/ta/spring2022/csci2600/recitation11.md
@@ -0,0 +1,152 @@
+---
+title: "Recitation 11: Exam 2 Review"
+date: 2022-04-04T15:40:12-04:00
+draft: false
+tags: []
+math: false
+---
+
+## Conceptual Questions
+1. When must a representation invariant hold?
+
+2. What's the difference between a representation invariant and an abstract function?
+
+3. Which type of testing only considers the specifications and not the implementation?
+
+4. What is the difference between overriding and overloading a method?
+
+5. Provide an example of representation exposure.
+
+6. Are Java subtypes true subtypes? Why or why not?
+
+
+## Overloading vs Overriding: Spaghetti Code Edition
+
+Consider the following Java code
+
+```java
+class A {
+void m(A a) { System.out.println("AA"); }
+void m(B a) { System.out.println("AB"); }
+void m(C a) { System.out.println("AC"); }
+}
+class B extends A {
+void m(A a) { System.out.println("BA"); }
+void m(B a) { System.out.println("BB"); }
+void m(C a) { System.out.println("BC"); }
+}
+class C extends B {
+void m(A a) { System.out.println("CA"); }
+void m(B a) { System.out.println("CB"); }
+void m(C a) { System.out.println("CC"); }
+}
+A a1 = new A();
+A a2 = new B();
+A a3 = new C();
+B b1 = new B();
+B b2 = new C();
+C c1 = new C();
+```
+1. Fill in the following table with the output of `row.m(col)`
+
+|        | a1 | a2 | a3 | b1 | b2 | c1 |   
+|---     |--- |--- |--- |--- |--- |--- |
+| **a1** |    |    |    |    |    |    |
+| **a2** |    |    |    |    |    |    |
+| **a3** |    |    |    |    |    |    |
+| **b1** |    |    |    |    |    |    |
+| **b2** |    |    |    |    |    |    |
+| **c1** |    |    |    |    |    |    |
+
+2. How would the grid change if I print it like below?
+
+```java
+A[] all = {a1, a2, a3, b1, b2, c1};
+for (A some_a : all) {
+    for (A some_a2 : all) {
+        some_a.m(some_a2); System.out.print(" ");
+    }
+    System.out.println("");
+}
+```
+
+|        | a1 | a2 | a3 | b1 | b2 | c1 |   
+|---     |--- |--- |--- |--- |--- |--- |
+| **a1** |    |    |    |    |    |    |
+| **a2** |    |    |    |    |    |    |
+| **a3** |    |    |    |    |    |    |
+| **b1** |    |    |    |    |    |    |
+| **b2** |    |    |    |    |    |    |
+| **c1** |    |    |    |    |    |    |
+
+## Generics and Advanced Typing
+
+Consider the following Java code:
+
+```java
+class Mammal {}
+class Cow extends Mammal {}
+class Horse extends Mammal {}
+class ToyHorse extends Horse {}
+
+
+Object o = new Object();
+Horse h = new Horse();
+ToyHorse t = new ToyHorse();
+List<? extends Mammal> lem = new ArrayList<>();
+List<? extends Horse> leh = new ArrayList<>();
+List<? super Horse> lsh = new ArrayList<>();
+```
+
+For each of the following, note whether or not it will compile.
+1. `lem.add(h);`
+2. `lsh.add(t);`
+3. `lsh.add(o);`
+4. `lem.add(null);`
+
+Assume that the ArrayList have elements in them.
+
+5. `h = lsh.get(0);`
+6. `m = leh.get(0);`
+7. `o = lsh.get(0);`
+
+## Equivalence Relations
+
+1. What are the three properties that you need to show in order to prove that the method is an equivalence relation.
+
+2. Is the following an equivalence relation? If so, prove. Otherwise provide counterexample.
+
+```java
+class String {
+    public boolean equals(String other) {
+        for (int i = 0; i < this.length; i++) {
+            if (this.contents[i] != other.contents[i]) {
+                return false;
+            }
+        }
+        return true;
+    }
+}
+```
+
+3. Is the following an equivalence relation? If so, prove. Otherwise provide counterexample.
+
+```java
+class FuzzyNumber {
+    public boolean equals(FuzzyNumber other) {
+        // Check: this - 0.5 <= other <= this + 0.5 
+        return this.number - 0.5 <= other.number && other.number <= this.number + 0.5;
+    }
+}
+```
+
+4. Is the following an equivalence relation? If so, prove. Otherwise provide a counterexample.
+
+```java
+class FuzzyNumberEnhanced {
+    public boolean equals(FuzzyNumberEnhanced other) {
+        return this.number - other.number == 0
+    }
+}
+```
+