From dfc384d5c7f06ed1412aeadf18ad0b3bd2825e9a Mon Sep 17 00:00:00 2001
From: eldridgejm-machine-user <jeldridge@ucsd.edu>
Date: Tue, 14 Jan 2025 14:34:17 -0800
Subject: [PATCH] automata commit

---
 practice/midterm-01.html                    | 248 ++++++++++----------
 practice/midterm-02.html                    | 176 +++++++-------
 practice/tags/asymptotic notation.html      |  32 +--
 practice/tags/bellman-ford.html             |  16 +-
 practice/tags/best and worst case.html      |  32 +--
 practice/tags/binary search trees.html      |  16 +-
 practice/tags/breadth first search.html     |  56 ++---
 practice/tags/connected components.html     |   8 +-
 practice/tags/depth first search.html       |  32 +--
 practice/tags/dijkstra.html                 |  16 +-
 practice/tags/expected time.html            |   8 +-
 practice/tags/graph theory.html             |  24 +-
 practice/tags/hashing.html                  |  16 +-
 practice/tags/mergesort.html                |   8 +-
 practice/tags/quickselect.html              |  16 +-
 practice/tags/recurrence relations.html     |  16 +-
 practice/tags/theoretical lower bounds.html |  24 +-
 practice/tags/time complexity.html          | 120 +++++-----
 practice/tags/topological sorting.html      |   8 +-
 19 files changed, 436 insertions(+), 436 deletions(-)

diff --git a/practice/midterm-01.html b/practice/midterm-01.html
index 00f0e26..4b92ed7 100644
--- a/practice/midterm-01.html
+++ b/practice/midterm-01.html
@@ -3079,13 +3079,13 @@ <h2>Problem #165</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-8ca0f5a1-6d82-4827-9783-94d0d16b07a5" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
-    <span id="button-8ca0f5a1-6d82-4827-9783-94d0d16b07a5">
+    <span id="answer-2cd0cac0-c8ac-4269-9ce3-68845980689d" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
+    <span id="button-2cd0cac0-c8ac-4269-9ce3-68845980689d">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-8ca0f5a1-6d82-4827-9783-94d0d16b07a5').style.display = 'inline-block';
-                document.getElementById('button-8ca0f5a1-6d82-4827-9783-94d0d16b07a5').style.display = 'none'
+                document.getElementById('answer-2cd0cac0-c8ac-4269-9ce3-68845980689d').style.display = 'inline-block';
+                document.getElementById('button-2cd0cac0-c8ac-4269-9ce3-68845980689d').style.display = 'none'
             "
         >
             Show Answer
@@ -3128,13 +3128,13 @@ <h2>Problem #166</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-226fe853-145d-471c-bcbf-d02eba28d0bf" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
-    <span id="button-226fe853-145d-471c-bcbf-d02eba28d0bf">
+    <span id="answer-8ae47c46-5797-4bf3-baf3-6fd135dfbb8b" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
+    <span id="button-8ae47c46-5797-4bf3-baf3-6fd135dfbb8b">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-226fe853-145d-471c-bcbf-d02eba28d0bf').style.display = 'inline-block';
-                document.getElementById('button-226fe853-145d-471c-bcbf-d02eba28d0bf').style.display = 'none'
+                document.getElementById('answer-8ae47c46-5797-4bf3-baf3-6fd135dfbb8b').style.display = 'inline-block';
+                document.getElementById('button-8ae47c46-5797-4bf3-baf3-6fd135dfbb8b').style.display = 'none'
             "
         >
             Show Answer
@@ -3179,13 +3179,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is the <b>best case</b> time complexity of this code as a function of <span class="math">\(n\)</span>? State your answer using asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-e959395a-fb5b-403a-80d6-97175e84670d" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-e959395a-fb5b-403a-80d6-97175e84670d">
+    <span id="answer-66fd418d-d0f5-42d3-a425-6666718b91ad" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-66fd418d-d0f5-42d3-a425-6666718b91ad">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-e959395a-fb5b-403a-80d6-97175e84670d').style.display = 'inline-block';
-                document.getElementById('button-e959395a-fb5b-403a-80d6-97175e84670d').style.display = 'none'
+                document.getElementById('answer-66fd418d-d0f5-42d3-a425-6666718b91ad').style.display = 'inline-block';
+                document.getElementById('button-66fd418d-d0f5-42d3-a425-6666718b91ad').style.display = 'none'
             "
         >
             Show Answer
@@ -3200,13 +3200,13 @@ <h3 class="subproblem-id">Part 2)</h3>
 <p>What is the <b>worst case</b> time complexity of this code as a function of <span class="math">\(n\)</span>? State your answer using asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-871e343b-59a3-4ce4-846b-27277624d13a" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-871e343b-59a3-4ce4-846b-27277624d13a">
+    <span id="answer-6d72a75b-4a24-4bc6-87c2-61d316c06fa3" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-6d72a75b-4a24-4bc6-87c2-61d316c06fa3">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-871e343b-59a3-4ce4-846b-27277624d13a').style.display = 'inline-block';
-                document.getElementById('button-871e343b-59a3-4ce4-846b-27277624d13a').style.display = 'none'
+                document.getElementById('answer-6d72a75b-4a24-4bc6-87c2-61d316c06fa3').style.display = 'inline-block';
+                document.getElementById('button-6d72a75b-4a24-4bc6-87c2-61d316c06fa3').style.display = 'none'
             "
         >
             Show Answer
@@ -3252,13 +3252,13 @@ <h2>Problem #168</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-06eaa739-bcef-4dd1-bea3-0449492e2b91" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-06eaa739-bcef-4dd1-bea3-0449492e2b91">
+    <span id="answer-e3c7dc34-b834-4021-9ab1-c1e6fe28c32c" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-e3c7dc34-b834-4021-9ab1-c1e6fe28c32c">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-06eaa739-bcef-4dd1-bea3-0449492e2b91').style.display = 'inline-block';
-                document.getElementById('button-06eaa739-bcef-4dd1-bea3-0449492e2b91').style.display = 'none'
+                document.getElementById('answer-e3c7dc34-b834-4021-9ab1-c1e6fe28c32c').style.display = 'inline-block';
+                document.getElementById('button-e3c7dc34-b834-4021-9ab1-c1e6fe28c32c').style.display = 'none'
             "
         >
             Show Answer
@@ -3534,13 +3534,13 @@ <h2>Problem #176</h2>
 <p>Consider the <span class="inline-code"><code>mediansort</code></span> function from above. Suppose that <span class="inline-code"><code>find_median</code></span> takes <span class="math">\(\Theta(n)\)</span> time. What is the time complexity of <span class="inline-code"><code>mediansort</code></span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-673465ff-6052-43d9-8a39-9bbd1b0ff0b0" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-673465ff-6052-43d9-8a39-9bbd1b0ff0b0">
+    <span id="answer-df0bc3c6-d214-40dd-815a-8cb48ded9f67" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-df0bc3c6-d214-40dd-815a-8cb48ded9f67">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-673465ff-6052-43d9-8a39-9bbd1b0ff0b0').style.display = 'inline-block';
-                document.getElementById('button-673465ff-6052-43d9-8a39-9bbd1b0ff0b0').style.display = 'none'
+                document.getElementById('answer-df0bc3c6-d214-40dd-815a-8cb48ded9f67').style.display = 'inline-block';
+                document.getElementById('button-df0bc3c6-d214-40dd-815a-8cb48ded9f67').style.display = 'none'
             "
         >
             Show Answer
@@ -3586,13 +3586,13 @@ <h2>Problem #177</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-70874598-396d-40a2-938a-83b92e5860f2" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-70874598-396d-40a2-938a-83b92e5860f2">
+    <span id="answer-d1253140-ed9b-4094-ba54-f92e340a81ad" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-d1253140-ed9b-4094-ba54-f92e340a81ad">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-70874598-396d-40a2-938a-83b92e5860f2').style.display = 'inline-block';
-                document.getElementById('button-70874598-396d-40a2-938a-83b92e5860f2').style.display = 'none'
+                document.getElementById('answer-d1253140-ed9b-4094-ba54-f92e340a81ad').style.display = 'inline-block';
+                document.getElementById('button-d1253140-ed9b-4094-ba54-f92e340a81ad').style.display = 'none'
             "
         >
             Show Answer
@@ -3682,13 +3682,13 @@ <h2>Problem #179</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-08f13957-cacf-46e5-9869-8b7a783b3cf1" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-08f13957-cacf-46e5-9869-8b7a783b3cf1">
+    <span id="answer-033174d6-0511-49df-bee7-26b45a58ee79" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-033174d6-0511-49df-bee7-26b45a58ee79">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-08f13957-cacf-46e5-9869-8b7a783b3cf1').style.display = 'inline-block';
-                document.getElementById('button-08f13957-cacf-46e5-9869-8b7a783b3cf1').style.display = 'none'
+                document.getElementById('answer-033174d6-0511-49df-bee7-26b45a58ee79').style.display = 'inline-block';
+                document.getElementById('button-033174d6-0511-49df-bee7-26b45a58ee79').style.display = 'none'
             "
         >
             Show Answer
@@ -3724,13 +3724,13 @@ <h2>Problem #180</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-e15e5978-26dd-4e11-a9cd-ba04b8f41723" style="display: none"><span class="math">\(\Theta(n^4 \log n)\)</span></span>
-    <span id="button-e15e5978-26dd-4e11-a9cd-ba04b8f41723">
+    <span id="answer-953e3d36-e142-4ad5-81f9-d2be0030d2d3" style="display: none"><span class="math">\(\Theta(n^4 \log n)\)</span></span>
+    <span id="button-953e3d36-e142-4ad5-81f9-d2be0030d2d3">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-e15e5978-26dd-4e11-a9cd-ba04b8f41723').style.display = 'inline-block';
-                document.getElementById('button-e15e5978-26dd-4e11-a9cd-ba04b8f41723').style.display = 'none'
+                document.getElementById('answer-953e3d36-e142-4ad5-81f9-d2be0030d2d3').style.display = 'inline-block';
+                document.getElementById('button-953e3d36-e142-4ad5-81f9-d2be0030d2d3').style.display = 'none'
             "
         >
             Show Answer
@@ -3757,13 +3757,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is a <b>tight</b> theoretical lower bound for this problem? Again, you may assume that the lists are both sorted. State your answer in asymptotic notation as a function of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-c3f02229-086e-4259-9d96-a4154774cc3c" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-c3f02229-086e-4259-9d96-a4154774cc3c">
+    <span id="answer-60e4cd1b-1fa3-401f-9f0a-4e5dca8d1043" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-60e4cd1b-1fa3-401f-9f0a-4e5dca8d1043">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-c3f02229-086e-4259-9d96-a4154774cc3c').style.display = 'inline-block';
-                document.getElementById('button-c3f02229-086e-4259-9d96-a4154774cc3c').style.display = 'none'
+                document.getElementById('answer-60e4cd1b-1fa3-401f-9f0a-4e5dca8d1043').style.display = 'inline-block';
+                document.getElementById('button-60e4cd1b-1fa3-401f-9f0a-4e5dca8d1043').style.display = 'none'
             "
         >
             Show Answer
@@ -3842,13 +3842,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is the <b>fewest</b> number of times that ``hello world!'' can possibly be printed? Your answer should be a number, and not in terms of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-fa878fb4-5b7f-4ad2-8b13-dbc812ac391b" style="display: none">1</span>
-    <span id="button-fa878fb4-5b7f-4ad2-8b13-dbc812ac391b">
+    <span id="answer-521d6a8b-65fb-4ec2-a291-b6866defbdc5" style="display: none">1</span>
+    <span id="button-521d6a8b-65fb-4ec2-a291-b6866defbdc5">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-fa878fb4-5b7f-4ad2-8b13-dbc812ac391b').style.display = 'inline-block';
-                document.getElementById('button-fa878fb4-5b7f-4ad2-8b13-dbc812ac391b').style.display = 'none'
+                document.getElementById('answer-521d6a8b-65fb-4ec2-a291-b6866defbdc5').style.display = 'inline-block';
+                document.getElementById('button-521d6a8b-65fb-4ec2-a291-b6866defbdc5').style.display = 'none'
             "
         >
             Show Answer
@@ -3863,13 +3863,13 @@ <h3 class="subproblem-id">Part 2)</h3>
 <p>What is the <b>greatest</b> number of times that ``hello world'' can possibly be printed? Your answer should be a number, and not in terms of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-8ce0088d-c143-4ba8-943a-7c3ebb84add6" style="display: none">10</span>
-    <span id="button-8ce0088d-c143-4ba8-943a-7c3ebb84add6">
+    <span id="answer-a942a17a-685a-4412-89ae-e67aa6ba8c6a" style="display: none">10</span>
+    <span id="button-a942a17a-685a-4412-89ae-e67aa6ba8c6a">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-8ce0088d-c143-4ba8-943a-7c3ebb84add6').style.display = 'inline-block';
-                document.getElementById('button-8ce0088d-c143-4ba8-943a-7c3ebb84add6').style.display = 'none'
+                document.getElementById('answer-a942a17a-685a-4412-89ae-e67aa6ba8c6a').style.display = 'inline-block';
+                document.getElementById('button-a942a17a-685a-4412-89ae-e67aa6ba8c6a').style.display = 'none'
             "
         >
             Show Answer
@@ -3923,13 +3923,13 @@ <h2>Problem #185</h2>
 <p>Consider the function <span class="math">\(g(n) = f_2(n) / f_1(n)\)</span>. Give the tightest possible upper bound on <span class="math">\(g(n)\)</span>:</p>
 <p><span class="math">\(O(\)</span>
 <span class="inline-response-box">
-    <span id="answer-a333eba9-5a77-4f79-a8f1-309f789ae42e" style="display: none"><span class="math">\(n\)</span></span>
-    <span id="button-a333eba9-5a77-4f79-a8f1-309f789ae42e">
+    <span id="answer-9f79965f-167c-45fb-9d82-330b189862ba" style="display: none"><span class="math">\(n\)</span></span>
+    <span id="button-9f79965f-167c-45fb-9d82-330b189862ba">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-a333eba9-5a77-4f79-a8f1-309f789ae42e').style.display = 'inline-block';
-                document.getElementById('button-a333eba9-5a77-4f79-a8f1-309f789ae42e').style.display = 'none'
+                document.getElementById('answer-9f79965f-167c-45fb-9d82-330b189862ba').style.display = 'inline-block';
+                document.getElementById('button-9f79965f-167c-45fb-9d82-330b189862ba').style.display = 'none'
             "
         >
             Show Answer
@@ -3965,13 +3965,13 @@ <h2>Problem #186</h2>
 <p>What is the asymptotic time complexity of <span class="inline-code"><code>boo</code></span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-52fa8426-0061-4127-903f-8266357f42eb" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-52fa8426-0061-4127-903f-8266357f42eb">
+    <span id="answer-f0fe0057-d154-4a09-aab3-002c534d1db5" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-f0fe0057-d154-4a09-aab3-002c534d1db5">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-52fa8426-0061-4127-903f-8266357f42eb').style.display = 'inline-block';
-                document.getElementById('button-52fa8426-0061-4127-903f-8266357f42eb').style.display = 'none'
+                document.getElementById('answer-f0fe0057-d154-4a09-aab3-002c534d1db5').style.display = 'inline-block';
+                document.getElementById('button-f0fe0057-d154-4a09-aab3-002c534d1db5').style.display = 'none'
             "
         >
             Show Answer
@@ -4004,13 +4004,13 @@ <h2>Problem #187</h2>
 <p>Write <span class="math">\(f(n)\)</span> in asymptotic notation in the simplest terms possible.</p>
 <p><span class="math">\(f(n) = \Theta(\)</span>
 <span class="inline-response-box">
-    <span id="answer-eb5f33f2-5afb-47af-8ea8-f21612038938" style="display: none"><span class="math">\(\sqrt n \log n\)</span></span>
-    <span id="button-eb5f33f2-5afb-47af-8ea8-f21612038938">
+    <span id="answer-a83adc16-fe42-4dcb-964c-cbf89a7992b3" style="display: none"><span class="math">\(\sqrt n \log n\)</span></span>
+    <span id="button-a83adc16-fe42-4dcb-964c-cbf89a7992b3">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-eb5f33f2-5afb-47af-8ea8-f21612038938').style.display = 'inline-block';
-                document.getElementById('button-eb5f33f2-5afb-47af-8ea8-f21612038938').style.display = 'none'
+                document.getElementById('answer-a83adc16-fe42-4dcb-964c-cbf89a7992b3').style.display = 'inline-block';
+                document.getElementById('button-a83adc16-fe42-4dcb-964c-cbf89a7992b3').style.display = 'none'
             "
         >
             Show Answer
@@ -4034,13 +4034,13 @@ <h2>Problem #188</h2>
 <p>Suppose a collection of unique numbers is stored in a <b>balanced</b> binary search tree, and that each node in the tree has been given a <span class="inline-code"><code>.size</code></span> attribute which contains the number of nodes in the subtree rooted at that node. What is the time complexity required of an efficient algorithm for computing the number of elements in the collection which are larger than some threshold, <span class="math">\(t\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-fd22e7ca-6fca-4906-b6a7-3af0917d579a" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
-    <span id="button-fd22e7ca-6fca-4906-b6a7-3af0917d579a">
+    <span id="answer-ade6df43-bbfa-46a6-8c2d-5ebe6c134419" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
+    <span id="button-ade6df43-bbfa-46a6-8c2d-5ebe6c134419">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-fd22e7ca-6fca-4906-b6a7-3af0917d579a').style.display = 'inline-block';
-                document.getElementById('button-fd22e7ca-6fca-4906-b6a7-3af0917d579a').style.display = 'none'
+                document.getElementById('answer-ade6df43-bbfa-46a6-8c2d-5ebe6c134419').style.display = 'inline-block';
+                document.getElementById('button-ade6df43-bbfa-46a6-8c2d-5ebe6c134419').style.display = 'none'
             "
         >
             Show Answer
@@ -4073,13 +4073,13 @@ <h2>Problem #189</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-fa1ec0aa-b70d-47bf-a0dd-3ce251ab9698" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-fa1ec0aa-b70d-47bf-a0dd-3ce251ab9698">
+    <span id="answer-dd6a1f79-5221-4637-9aad-cc89d722343d" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-dd6a1f79-5221-4637-9aad-cc89d722343d">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-fa1ec0aa-b70d-47bf-a0dd-3ce251ab9698').style.display = 'inline-block';
-                document.getElementById('button-fa1ec0aa-b70d-47bf-a0dd-3ce251ab9698').style.display = 'none'
+                document.getElementById('answer-dd6a1f79-5221-4637-9aad-cc89d722343d').style.display = 'inline-block';
+                document.getElementById('button-dd6a1f79-5221-4637-9aad-cc89d722343d').style.display = 'none'
             "
         >
             Show Answer
@@ -4111,13 +4111,13 @@ <h2>Problem #190</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-5d432c84-d7e7-4847-98fb-2c8d2a32fa65" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-5d432c84-d7e7-4847-98fb-2c8d2a32fa65">
+    <span id="answer-610dc08f-0d59-49a0-a63e-6e63aff2d07a" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-610dc08f-0d59-49a0-a63e-6e63aff2d07a">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-5d432c84-d7e7-4847-98fb-2c8d2a32fa65').style.display = 'inline-block';
-                document.getElementById('button-5d432c84-d7e7-4847-98fb-2c8d2a32fa65').style.display = 'none'
+                document.getElementById('answer-610dc08f-0d59-49a0-a63e-6e63aff2d07a').style.display = 'inline-block';
+                document.getElementById('button-610dc08f-0d59-49a0-a63e-6e63aff2d07a').style.display = 'none'
             "
         >
             Show Answer
@@ -4164,13 +4164,13 @@ <h2>Problem #191</h2>
 <p>What is the best case time complexity of <span class="inline-code"><code>foo</code></span> as a function of <span class="math">\(n\)</span>? State your answer using asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-52034456-4d70-48bf-b9f8-6571caf791e9" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-52034456-4d70-48bf-b9f8-6571caf791e9">
+    <span id="answer-df841d17-84f6-4ef5-81b6-438b8a69acc8" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-df841d17-84f6-4ef5-81b6-438b8a69acc8">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-52034456-4d70-48bf-b9f8-6571caf791e9').style.display = 'inline-block';
-                document.getElementById('button-52034456-4d70-48bf-b9f8-6571caf791e9').style.display = 'none'
+                document.getElementById('answer-df841d17-84f6-4ef5-81b6-438b8a69acc8').style.display = 'inline-block';
+                document.getElementById('button-df841d17-84f6-4ef5-81b6-438b8a69acc8').style.display = 'none'
             "
         >
             Show Answer
@@ -4209,13 +4209,13 @@ <h2>Problem #192</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-f17965d9-b21a-49c1-972c-2acab66aa50c" style="display: none"><span class="math">\(\Theta(n\log n)\)</span></span>
-    <span id="button-f17965d9-b21a-49c1-972c-2acab66aa50c">
+    <span id="answer-1cd5f727-b440-412b-a543-221cd474abf9" style="display: none"><span class="math">\(\Theta(n\log n)\)</span></span>
+    <span id="button-1cd5f727-b440-412b-a543-221cd474abf9">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f17965d9-b21a-49c1-972c-2acab66aa50c').style.display = 'inline-block';
-                document.getElementById('button-f17965d9-b21a-49c1-972c-2acab66aa50c').style.display = 'none'
+                document.getElementById('answer-1cd5f727-b440-412b-a543-221cd474abf9').style.display = 'inline-block';
+                document.getElementById('button-1cd5f727-b440-412b-a543-221cd474abf9').style.display = 'none'
             "
         >
             Show Answer
@@ -4263,13 +4263,13 @@ <h2>Problem #193</h2>
 <p>If all of the numbers that are printed are added up, what will the sum be?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-f6e9ef9e-0ca0-4698-b2e5-511048de08b4" style="display: none">24</span>
-    <span id="button-f6e9ef9e-0ca0-4698-b2e5-511048de08b4">
+    <span id="answer-b532f8c7-4152-4e0e-bad2-acf79d0150d5" style="display: none">24</span>
+    <span id="button-b532f8c7-4152-4e0e-bad2-acf79d0150d5">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f6e9ef9e-0ca0-4698-b2e5-511048de08b4').style.display = 'inline-block';
-                document.getElementById('button-f6e9ef9e-0ca0-4698-b2e5-511048de08b4').style.display = 'none'
+                document.getElementById('answer-b532f8c7-4152-4e0e-bad2-acf79d0150d5').style.display = 'inline-block';
+                document.getElementById('button-b532f8c7-4152-4e0e-bad2-acf79d0150d5').style.display = 'none'
             "
         >
             Show Answer
@@ -4293,13 +4293,13 @@ <h2>Problem #194</h2>
 <p>Suppose a collection of <span class="math">\(n\)</span> numbers is stored in a balanced binary search tree. What is the time complexity required of an efficient algorithm to calculate the mean of the collection? State your answer as a function of <span class="math">\(n\)</span> in asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-d8f37e09-c689-456e-9da2-c5f04454e59f" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-d8f37e09-c689-456e-9da2-c5f04454e59f">
+    <span id="answer-0eceff38-ecc2-4559-abde-7702e428ffcf" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-0eceff38-ecc2-4559-abde-7702e428ffcf">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-d8f37e09-c689-456e-9da2-c5f04454e59f').style.display = 'inline-block';
-                document.getElementById('button-d8f37e09-c689-456e-9da2-c5f04454e59f').style.display = 'none'
+                document.getElementById('answer-0eceff38-ecc2-4559-abde-7702e428ffcf').style.display = 'inline-block';
+                document.getElementById('button-0eceff38-ecc2-4559-abde-7702e428ffcf').style.display = 'none'
             "
         >
             Show Answer
@@ -4324,13 +4324,13 @@ <h2>Problem #195</h2>
 <p>Consider the function <span class="math">\(g(n) = f_2(n) / f_1(n)\)</span>. Give the tightest possible upper bound on <span class="math">\(g(n)\)</span>:</p>
 <p><span class="math">\(O(\)</span>
 <span class="inline-response-box">
-    <span id="answer-14f0cac1-35b4-403a-bd9d-c0f002d53af4" style="display: none"><span class="math">\(n^2\)</span></span>
-    <span id="button-14f0cac1-35b4-403a-bd9d-c0f002d53af4">
+    <span id="answer-bedbecbd-12b3-447b-9069-adbae4bbff21" style="display: none"><span class="math">\(n^2\)</span></span>
+    <span id="button-bedbecbd-12b3-447b-9069-adbae4bbff21">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-14f0cac1-35b4-403a-bd9d-c0f002d53af4').style.display = 'inline-block';
-                document.getElementById('button-14f0cac1-35b4-403a-bd9d-c0f002d53af4').style.display = 'none'
+                document.getElementById('answer-bedbecbd-12b3-447b-9069-adbae4bbff21').style.display = 'inline-block';
+                document.getElementById('button-bedbecbd-12b3-447b-9069-adbae4bbff21').style.display = 'none'
             "
         >
             Show Answer
@@ -4537,14 +4537,14 @@ <h2>Problem #200</h2>
 
 <p>
         <span class="inline-response-box">
-            <span id="answer-77aef9e7-4a26-4dfc-bf8d-08d13fdb51ac" style="display: none"><span class="math">\(\Theta(n^2)\)</span>
+            <span id="answer-29ccf40e-bac3-4f9b-af80-25f180ba71b4" style="display: none"><span class="math">\(\Theta(n^2)\)</span>
 .</span>
-            <span id="button-77aef9e7-4a26-4dfc-bf8d-08d13fdb51ac">
+            <span id="button-29ccf40e-bac3-4f9b-af80-25f180ba71b4">
                 <button
                     type="button"
                     onclick="
-                        document.getElementById('answer-77aef9e7-4a26-4dfc-bf8d-08d13fdb51ac').style.display = 'inline-block';
-                        document.getElementById('button-77aef9e7-4a26-4dfc-bf8d-08d13fdb51ac').style.display = 'none'
+                        document.getElementById('answer-29ccf40e-bac3-4f9b-af80-25f180ba71b4').style.display = 'inline-block';
+                        document.getElementById('button-29ccf40e-bac3-4f9b-af80-25f180ba71b4').style.display = 'none'
                     "
                 >
                     Show Answer
@@ -4574,13 +4574,13 @@ <h2>Problem #201</h2>
         \end{cases}\]</div>
 <p>
 <span class="inline-response-box">
-    <span id="answer-70537a88-6d9d-4526-8d83-fd95d4588284" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-70537a88-6d9d-4526-8d83-fd95d4588284">
+    <span id="answer-eddd7e04-88a8-4460-92ff-59e48b60cbb6" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-eddd7e04-88a8-4460-92ff-59e48b60cbb6">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-70537a88-6d9d-4526-8d83-fd95d4588284').style.display = 'inline-block';
-                document.getElementById('button-70537a88-6d9d-4526-8d83-fd95d4588284').style.display = 'none'
+                document.getElementById('answer-eddd7e04-88a8-4460-92ff-59e48b60cbb6').style.display = 'inline-block';
+                document.getElementById('button-eddd7e04-88a8-4460-92ff-59e48b60cbb6').style.display = 'none'
             "
         >
             Show Answer
@@ -4630,13 +4630,13 @@ <h2>Problem #202</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-9ca0a495-b349-4f20-939e-44387127891b" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-9ca0a495-b349-4f20-939e-44387127891b">
+    <span id="answer-944825bd-8be1-4e6c-b309-0925813a1191" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-944825bd-8be1-4e6c-b309-0925813a1191">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-9ca0a495-b349-4f20-939e-44387127891b').style.display = 'inline-block';
-                document.getElementById('button-9ca0a495-b349-4f20-939e-44387127891b').style.display = 'none'
+                document.getElementById('answer-944825bd-8be1-4e6c-b309-0925813a1191').style.display = 'inline-block';
+                document.getElementById('button-944825bd-8be1-4e6c-b309-0925813a1191').style.display = 'none'
             "
         >
             Show Answer
@@ -4671,13 +4671,13 @@ <h2>Problem #203</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-9a6f1ddb-e3e0-452e-9032-2b745e24d30f" style="display: none"><span class="math">\(\Theta(n^5)\)</span></span>
-    <span id="button-9a6f1ddb-e3e0-452e-9032-2b745e24d30f">
+    <span id="answer-67ab8aa8-706c-4e4a-8877-bfc268bea387" style="display: none"><span class="math">\(\Theta(n^5)\)</span></span>
+    <span id="button-67ab8aa8-706c-4e4a-8877-bfc268bea387">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-9a6f1ddb-e3e0-452e-9032-2b745e24d30f').style.display = 'inline-block';
-                document.getElementById('button-9a6f1ddb-e3e0-452e-9032-2b745e24d30f').style.display = 'none'
+                document.getElementById('answer-67ab8aa8-706c-4e4a-8877-bfc268bea387').style.display = 'inline-block';
+                document.getElementById('button-67ab8aa8-706c-4e4a-8877-bfc268bea387').style.display = 'none'
             "
         >
             Show Answer
@@ -4704,13 +4704,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is the best possible (worst case) time complexity of any algorithm for finding the <b>smallest</b> difference between a number in <span class="math">\(A\)</span> and a number in <span class="math">\(B\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-9daa2edb-8a1d-4645-bbc4-1b078bc7c117" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-9daa2edb-8a1d-4645-bbc4-1b078bc7c117">
+    <span id="answer-cd4a99ad-b0a1-48f1-9eb7-0502e06e3726" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-cd4a99ad-b0a1-48f1-9eb7-0502e06e3726">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-9daa2edb-8a1d-4645-bbc4-1b078bc7c117').style.display = 'inline-block';
-                document.getElementById('button-9daa2edb-8a1d-4645-bbc4-1b078bc7c117').style.display = 'none'
+                document.getElementById('answer-cd4a99ad-b0a1-48f1-9eb7-0502e06e3726').style.display = 'inline-block';
+                document.getElementById('button-cd4a99ad-b0a1-48f1-9eb7-0502e06e3726').style.display = 'none'
             "
         >
             Show Answer
@@ -4727,13 +4727,13 @@ <h3 class="subproblem-id">Part 2)</h3>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-ce434628-6cb8-408b-a7a9-46f267077264" style="display: none"><span class="math">\(\Theta(1)\)</span></span>
-    <span id="button-ce434628-6cb8-408b-a7a9-46f267077264">
+    <span id="answer-236e39c7-8336-40a5-9ee7-d288c468ee77" style="display: none"><span class="math">\(\Theta(1)\)</span></span>
+    <span id="button-236e39c7-8336-40a5-9ee7-d288c468ee77">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-ce434628-6cb8-408b-a7a9-46f267077264').style.display = 'inline-block';
-                document.getElementById('button-ce434628-6cb8-408b-a7a9-46f267077264').style.display = 'none'
+                document.getElementById('answer-236e39c7-8336-40a5-9ee7-d288c468ee77').style.display = 'inline-block';
+                document.getElementById('button-236e39c7-8336-40a5-9ee7-d288c468ee77').style.display = 'none'
             "
         >
             Show Answer
@@ -4795,13 +4795,13 @@ <h2>Problem #206</h2>
 <p>What is the asymptotic time complexity of <span class="inline-code"><code>foo</code></span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-ea83627f-f73d-47dc-b052-febdb3d44601" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-ea83627f-f73d-47dc-b052-febdb3d44601">
+    <span id="answer-36a93adc-2f9c-4d51-afbe-4836813fce40" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-36a93adc-2f9c-4d51-afbe-4836813fce40">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-ea83627f-f73d-47dc-b052-febdb3d44601').style.display = 'inline-block';
-                document.getElementById('button-ea83627f-f73d-47dc-b052-febdb3d44601').style.display = 'none'
+                document.getElementById('answer-36a93adc-2f9c-4d51-afbe-4836813fce40').style.display = 'inline-block';
+                document.getElementById('button-36a93adc-2f9c-4d51-afbe-4836813fce40').style.display = 'none'
             "
         >
             Show Answer
@@ -4832,13 +4832,13 @@ <h2>Problem #207</h2>
 <p>Define <span class="math">\(f(n)  = f_1(n) \times f_2(n) \times f_3(n)\)</span>. What is <span class="math">\(f(n)\)</span>, in asymptotic notation, in simplest terms possible?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-1967ff99-37bf-41af-859a-dc8fab361b70" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
-    <span id="button-1967ff99-37bf-41af-859a-dc8fab361b70">
+    <span id="answer-1be718ba-725b-43c2-b5a3-e2f6aab987da" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
+    <span id="button-1be718ba-725b-43c2-b5a3-e2f6aab987da">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-1967ff99-37bf-41af-859a-dc8fab361b70').style.display = 'inline-block';
-                document.getElementById('button-1967ff99-37bf-41af-859a-dc8fab361b70').style.display = 'none'
+                document.getElementById('answer-1be718ba-725b-43c2-b5a3-e2f6aab987da').style.display = 'inline-block';
+                document.getElementById('button-1be718ba-725b-43c2-b5a3-e2f6aab987da').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/midterm-02.html b/practice/midterm-02.html
index 0b9d246..d991341 100644
--- a/practice/midterm-02.html
+++ b/practice/midterm-02.html
@@ -1783,13 +1783,13 @@ <h2>Problem #209</h2>
 <p>Suppose an <b>undirected</b> graph has 16 edges. What is the <i>smallest</i> number of nodes it can have?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-fff2755b-4136-441b-b2ef-17bcd8caee04" style="display: none">7</span>
-    <span id="button-fff2755b-4136-441b-b2ef-17bcd8caee04">
+    <span id="answer-583b4422-e8c1-42f7-a2bc-6ea67b3652bc" style="display: none">7</span>
+    <span id="button-583b4422-e8c1-42f7-a2bc-6ea67b3652bc">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-fff2755b-4136-441b-b2ef-17bcd8caee04').style.display = 'inline-block';
-                document.getElementById('button-fff2755b-4136-441b-b2ef-17bcd8caee04').style.display = 'none'
+                document.getElementById('answer-583b4422-e8c1-42f7-a2bc-6ea67b3652bc').style.display = 'inline-block';
+                document.getElementById('button-583b4422-e8c1-42f7-a2bc-6ea67b3652bc').style.display = 'none'
             "
         >
             Show Answer
@@ -1813,13 +1813,13 @@ <h2>Problem #210</h2>
 <p>Suppose a <b>directed</b> graph has 5 nodes and 3 edges. What is the greatest possible degree of any node in the graph?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-1ccaa5e6-a8e4-4d93-acbf-071ed6f014bb" style="display: none">4</span>
-    <span id="button-1ccaa5e6-a8e4-4d93-acbf-071ed6f014bb">
+    <span id="answer-096a2b6d-6cb5-4017-96fc-f59ef25a9953" style="display: none">4</span>
+    <span id="button-096a2b6d-6cb5-4017-96fc-f59ef25a9953">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-1ccaa5e6-a8e4-4d93-acbf-071ed6f014bb').style.display = 'inline-block';
-                document.getElementById('button-1ccaa5e6-a8e4-4d93-acbf-071ed6f014bb').style.display = 'none'
+                document.getElementById('answer-096a2b6d-6cb5-4017-96fc-f59ef25a9953').style.display = 'inline-block';
+                document.getElementById('button-096a2b6d-6cb5-4017-96fc-f59ef25a9953').style.display = 'none'
             "
         >
             Show Answer
@@ -1891,13 +1891,13 @@ <h2>Problem #212</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-4bc180a6-48a8-4f94-8a12-6d3691b2df22" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-4bc180a6-48a8-4f94-8a12-6d3691b2df22">
+    <span id="answer-cb6e8ed8-26af-405d-8bd6-03fb09359f1b" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-cb6e8ed8-26af-405d-8bd6-03fb09359f1b">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-4bc180a6-48a8-4f94-8a12-6d3691b2df22').style.display = 'inline-block';
-                document.getElementById('button-4bc180a6-48a8-4f94-8a12-6d3691b2df22').style.display = 'none'
+                document.getElementById('answer-cb6e8ed8-26af-405d-8bd6-03fb09359f1b').style.display = 'inline-block';
+                document.getElementById('button-cb6e8ed8-26af-405d-8bd6-03fb09359f1b').style.display = 'none'
             "
         >
             Show Answer
@@ -1940,13 +1940,13 @@ <h2>Problem #213</h2>
 <p>How many times will <span class="inline-code"><code>"Hello!"</code></span> be printed? Note that this is not a full DFS, and that not all nodes are reachable from <span class="math">\(a\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-245238e0-073f-498b-8e53-98c8e589dc58" style="display: none">10</span>
-    <span id="button-245238e0-073f-498b-8e53-98c8e589dc58">
+    <span id="answer-5f9343cc-6465-4b76-b977-bfd2c01ec2c7" style="display: none">10</span>
+    <span id="button-5f9343cc-6465-4b76-b977-bfd2c01ec2c7">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-245238e0-073f-498b-8e53-98c8e589dc58').style.display = 'inline-block';
-                document.getElementById('button-245238e0-073f-498b-8e53-98c8e589dc58').style.display = 'none'
+                document.getElementById('answer-5f9343cc-6465-4b76-b977-bfd2c01ec2c7').style.display = 'inline-block';
+                document.getElementById('button-5f9343cc-6465-4b76-b977-bfd2c01ec2c7').style.display = 'none'
             "
         >
             Show Answer
@@ -2023,13 +2023,13 @@ <h2>Problem #216</h2>
 <p>What will be the finish time of node <span class="math">\(e\)</span>? Assume the convention that a node's neighbors are produced in alphabetical order.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-a16113bf-64a1-4105-9f2e-768ef5dd2647" style="display: none">13</span>
-    <span id="button-a16113bf-64a1-4105-9f2e-768ef5dd2647">
+    <span id="answer-92a88b4e-3534-4f51-b1e6-c6daf289410b" style="display: none">13</span>
+    <span id="button-92a88b4e-3534-4f51-b1e6-c6daf289410b">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-a16113bf-64a1-4105-9f2e-768ef5dd2647').style.display = 'inline-block';
-                document.getElementById('button-a16113bf-64a1-4105-9f2e-768ef5dd2647').style.display = 'none'
+                document.getElementById('answer-92a88b4e-3534-4f51-b1e6-c6daf289410b').style.display = 'inline-block';
+                document.getElementById('button-92a88b4e-3534-4f51-b1e6-c6daf289410b').style.display = 'none'
             "
         >
             Show Answer
@@ -2079,13 +2079,13 @@ <h2>Problem #218</h2>
 <center><div class="image"><img src="images/218/graph.png" /></div></center>
 <p>
 <span class="inline-response-box">
-    <span id="answer-ae24ae33-e136-4abf-98d5-2fe9fcfbf0ac" style="display: none"><span class="math">\(d\)</span></span>
-    <span id="button-ae24ae33-e136-4abf-98d5-2fe9fcfbf0ac">
+    <span id="answer-f7ee7103-e35b-4b26-8db0-8a491209ec80" style="display: none"><span class="math">\(d\)</span></span>
+    <span id="button-f7ee7103-e35b-4b26-8db0-8a491209ec80">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-ae24ae33-e136-4abf-98d5-2fe9fcfbf0ac').style.display = 'inline-block';
-                document.getElementById('button-ae24ae33-e136-4abf-98d5-2fe9fcfbf0ac').style.display = 'none'
+                document.getElementById('answer-f7ee7103-e35b-4b26-8db0-8a491209ec80').style.display = 'inline-block';
+                document.getElementById('button-f7ee7103-e35b-4b26-8db0-8a491209ec80').style.display = 'none'
             "
         >
             Show Answer
@@ -2136,13 +2136,13 @@ <h2>Problem #220</h2>
 <center><div class="image"><img src="images/220/graph.png" /></div></center>
 <p>
 <span class="inline-response-box">
-    <span id="answer-57a38847-41f9-4833-95d6-42db024d3107" style="display: none">d a b c e</span>
-    <span id="button-57a38847-41f9-4833-95d6-42db024d3107">
+    <span id="answer-6f7ddabb-5af0-4e2e-9b36-244eebc90d0c" style="display: none">d a b c e</span>
+    <span id="button-6f7ddabb-5af0-4e2e-9b36-244eebc90d0c">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-57a38847-41f9-4833-95d6-42db024d3107').style.display = 'inline-block';
-                document.getElementById('button-57a38847-41f9-4833-95d6-42db024d3107').style.display = 'none'
+                document.getElementById('answer-6f7ddabb-5af0-4e2e-9b36-244eebc90d0c').style.display = 'inline-block';
+                document.getElementById('button-6f7ddabb-5af0-4e2e-9b36-244eebc90d0c').style.display = 'none'
             "
         >
             Show Answer
@@ -2307,13 +2307,13 @@ <h2>Problem #226</h2>
 <p>What will be the fourth node popped from the priority queue? (The first node popped is the source, <span class="math">\(a\)</span>.)</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-8ae29cca-966f-4301-b4ef-f18ab48c3547" style="display: none"><span class="math">\(f\)</span></span>
-    <span id="button-8ae29cca-966f-4301-b4ef-f18ab48c3547">
+    <span id="answer-b4d7ecbd-b64b-4b0f-9898-3d16bf7ad119" style="display: none"><span class="math">\(f\)</span></span>
+    <span id="button-b4d7ecbd-b64b-4b0f-9898-3d16bf7ad119">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-8ae29cca-966f-4301-b4ef-f18ab48c3547').style.display = 'inline-block';
-                document.getElementById('button-8ae29cca-966f-4301-b4ef-f18ab48c3547').style.display = 'none'
+                document.getElementById('answer-b4d7ecbd-b64b-4b0f-9898-3d16bf7ad119').style.display = 'inline-block';
+                document.getElementById('button-b4d7ecbd-b64b-4b0f-9898-3d16bf7ad119').style.display = 'none'
             "
         >
             Show Answer
@@ -2339,13 +2339,13 @@ <h2>Problem #227</h2>
 <p>How many iterations of the outer loop will be run in the worst case? Your answer should be a number.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-11d91f5b-be68-4620-af5f-c4c732791eb5" style="display: none">4</span>
-    <span id="button-11d91f5b-be68-4620-af5f-c4c732791eb5">
+    <span id="answer-22606f68-884d-47d2-aa23-39f7b14c7385" style="display: none">4</span>
+    <span id="button-22606f68-884d-47d2-aa23-39f7b14c7385">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-11d91f5b-be68-4620-af5f-c4c732791eb5').style.display = 'inline-block';
-                document.getElementById('button-11d91f5b-be68-4620-af5f-c4c732791eb5').style.display = 'none'
+                document.getElementById('answer-22606f68-884d-47d2-aa23-39f7b14c7385').style.display = 'inline-block';
+                document.getElementById('button-22606f68-884d-47d2-aa23-39f7b14c7385').style.display = 'none'
             "
         >
             Show Answer
@@ -2396,13 +2396,13 @@ <h2>Problem #228</h2>
 <p>How many times will <span class="inline-code"><code>"Here!"</code></span> be printed?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-43891558-85fc-4a71-8de3-65a227473d7b" style="display: none">2</span>
-    <span id="button-43891558-85fc-4a71-8de3-65a227473d7b">
+    <span id="answer-bb7bfb68-c60c-439b-a037-7fd9f737155a" style="display: none">2</span>
+    <span id="button-bb7bfb68-c60c-439b-a037-7fd9f737155a">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-43891558-85fc-4a71-8de3-65a227473d7b').style.display = 'inline-block';
-                document.getElementById('button-43891558-85fc-4a71-8de3-65a227473d7b').style.display = 'none'
+                document.getElementById('answer-bb7bfb68-c60c-439b-a037-7fd9f737155a').style.display = 'inline-block';
+                document.getElementById('button-bb7bfb68-c60c-439b-a037-7fd9f737155a').style.display = 'none'
             "
         >
             Show Answer
@@ -2428,13 +2428,13 @@ <h2>Problem #229</h2>
 <p>What is the most number of nodes that can be in the queue at any one time?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-e166e99d-b2e5-4cbe-9c09-29c4831f3ec3" style="display: none">8</span>
-    <span id="button-e166e99d-b2e5-4cbe-9c09-29c4831f3ec3">
+    <span id="answer-c7e81549-6f1d-4e9d-a61b-0038f1685dcc" style="display: none">8</span>
+    <span id="button-c7e81549-6f1d-4e9d-a61b-0038f1685dcc">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-e166e99d-b2e5-4cbe-9c09-29c4831f3ec3').style.display = 'inline-block';
-                document.getElementById('button-e166e99d-b2e5-4cbe-9c09-29c4831f3ec3').style.display = 'none'
+                document.getElementById('answer-c7e81549-6f1d-4e9d-a61b-0038f1685dcc').style.display = 'inline-block';
+                document.getElementById('button-c7e81549-6f1d-4e9d-a61b-0038f1685dcc').style.display = 'none'
             "
         >
             Show Answer
@@ -2544,13 +2544,13 @@ <h2>Problem #232</h2>
 <p>After one iteration of the outer loop of Bellman-Ford, what is the estimated distance to node <span class="math">\(d\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-102c37a0-a53c-4bba-bea0-474a277c8956" style="display: none">9</span>
-    <span id="button-102c37a0-a53c-4bba-bea0-474a277c8956">
+    <span id="answer-3bcc7dc8-15fe-45f4-a133-f2d758cfa649" style="display: none">9</span>
+    <span id="button-3bcc7dc8-15fe-45f4-a133-f2d758cfa649">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-102c37a0-a53c-4bba-bea0-474a277c8956').style.display = 'inline-block';
-                document.getElementById('button-102c37a0-a53c-4bba-bea0-474a277c8956').style.display = 'none'
+                document.getElementById('answer-3bcc7dc8-15fe-45f4-a133-f2d758cfa649').style.display = 'inline-block';
+                document.getElementById('button-3bcc7dc8-15fe-45f4-a133-f2d758cfa649').style.display = 'none'
             "
         >
             Show Answer
@@ -2653,13 +2653,13 @@ <h2>Problem #236</h2>
 <p>Suppose an <b>undirected</b> graph has 3 connected components and 7 nodes. What is the <i>maximum</i> number of edges it can have?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-555b544f-f62c-40c4-b558-dc3abdcba073" style="display: none">10</span>
-    <span id="button-555b544f-f62c-40c4-b558-dc3abdcba073">
+    <span id="answer-9febd108-2924-4952-bf6f-3e9782040907" style="display: none">10</span>
+    <span id="button-9febd108-2924-4952-bf6f-3e9782040907">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-555b544f-f62c-40c4-b558-dc3abdcba073').style.display = 'inline-block';
-                document.getElementById('button-555b544f-f62c-40c4-b558-dc3abdcba073').style.display = 'none'
+                document.getElementById('answer-9febd108-2924-4952-bf6f-3e9782040907').style.display = 'inline-block';
+                document.getElementById('button-9febd108-2924-4952-bf6f-3e9782040907').style.display = 'none'
             "
         >
             Show Answer
@@ -2686,13 +2686,13 @@ <h2>Problem #237</h2>
 <p>What will be the fifth node added to <span class="math">\(C\)</span> by Dijkstra's algorithm? (The first node added to <span class="math">\(C\)</span> is the source, <span class="math">\(a\)</span>.)</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-1dba9b66-c79f-43a4-b3c1-689d28a654e8" style="display: none"><span class="math">\(b\)</span></span>
-    <span id="button-1dba9b66-c79f-43a4-b3c1-689d28a654e8">
+    <span id="answer-a84045b0-0603-4412-9944-6d937acc02be" style="display: none"><span class="math">\(b\)</span></span>
+    <span id="button-a84045b0-0603-4412-9944-6d937acc02be">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-1dba9b66-c79f-43a4-b3c1-689d28a654e8').style.display = 'inline-block';
-                document.getElementById('button-1dba9b66-c79f-43a4-b3c1-689d28a654e8').style.display = 'none'
+                document.getElementById('answer-a84045b0-0603-4412-9944-6d937acc02be').style.display = 'inline-block';
+                document.getElementById('button-a84045b0-0603-4412-9944-6d937acc02be').style.display = 'none'
             "
         >
             Show Answer
@@ -2735,13 +2735,13 @@ <h2>Problem #238</h2>
 <p>How many times will <span class="inline-code"><code>"Hello!"</code></span> be printed? Note that this is not a full DFS, and that not all nodes are reachable from <span class="math">\(a\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-0a936018-832e-4797-ab0b-ed764fef125f" style="display: none">6</span>
-    <span id="button-0a936018-832e-4797-ab0b-ed764fef125f">
+    <span id="answer-6e53957d-a3a2-4a02-95c2-dba2ba14ad77" style="display: none">6</span>
+    <span id="button-6e53957d-a3a2-4a02-95c2-dba2ba14ad77">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-0a936018-832e-4797-ab0b-ed764fef125f').style.display = 'inline-block';
-                document.getElementById('button-0a936018-832e-4797-ab0b-ed764fef125f').style.display = 'none'
+                document.getElementById('answer-6e53957d-a3a2-4a02-95c2-dba2ba14ad77').style.display = 'inline-block';
+                document.getElementById('button-6e53957d-a3a2-4a02-95c2-dba2ba14ad77').style.display = 'none'
             "
         >
             Show Answer
@@ -2767,13 +2767,13 @@ <h2>Problem #239</h2>
 <p>Suppose a BFS is performed on this graph with node <span class="math">\(s\)</span> as the starting node. What is the largest number of nodes that could possibly be in the queue at any one time?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-d01ff9af-d00e-4b3c-b2d9-c7d2a72f5916" style="display: none">9</span>
-    <span id="button-d01ff9af-d00e-4b3c-b2d9-c7d2a72f5916">
+    <span id="answer-c361c2cc-35ca-473b-9efe-5bc2c52e7ecf" style="display: none">9</span>
+    <span id="button-c361c2cc-35ca-473b-9efe-5bc2c52e7ecf">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-d01ff9af-d00e-4b3c-b2d9-c7d2a72f5916').style.display = 'inline-block';
-                document.getElementById('button-d01ff9af-d00e-4b3c-b2d9-c7d2a72f5916').style.display = 'none'
+                document.getElementById('answer-c361c2cc-35ca-473b-9efe-5bc2c52e7ecf').style.display = 'inline-block';
+                document.getElementById('button-c361c2cc-35ca-473b-9efe-5bc2c52e7ecf').style.display = 'none'
             "
         >
             Show Answer
@@ -2856,13 +2856,13 @@ <h2>Problem #242</h2>
 <center><div class="image"><img src="images/242/graph.png" /></div></center>
 <p>
 <span class="inline-response-box">
-    <span id="answer-27d6f9b9-5db9-4c67-9049-5eb88057a1cb" style="display: none">5</span>
-    <span id="button-27d6f9b9-5db9-4c67-9049-5eb88057a1cb">
+    <span id="answer-0e8296e2-946e-4f1f-a529-892324f99538" style="display: none">5</span>
+    <span id="button-0e8296e2-946e-4f1f-a529-892324f99538">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-27d6f9b9-5db9-4c67-9049-5eb88057a1cb').style.display = 'inline-block';
-                document.getElementById('button-27d6f9b9-5db9-4c67-9049-5eb88057a1cb').style.display = 'none'
+                document.getElementById('answer-0e8296e2-946e-4f1f-a529-892324f99538').style.display = 'inline-block';
+                document.getElementById('button-0e8296e2-946e-4f1f-a529-892324f99538').style.display = 'none'
             "
         >
             Show Answer
@@ -2972,13 +2972,13 @@ <h2>Problem #246</h2>
 <p>Note: in studying, you might have come across a problem in the practice bank about ``hub and spoke'' graphs. This question is related, but not the same!</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-7353a566-0070-4e5c-bef6-fce853bfe7e6" style="display: none"><span class="math">\(\Theta(V)\)</span></span>
-    <span id="button-7353a566-0070-4e5c-bef6-fce853bfe7e6">
+    <span id="answer-ae17253f-2de3-449e-9970-746667d52fc2" style="display: none"><span class="math">\(\Theta(V)\)</span></span>
+    <span id="button-ae17253f-2de3-449e-9970-746667d52fc2">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-7353a566-0070-4e5c-bef6-fce853bfe7e6').style.display = 'inline-block';
-                document.getElementById('button-7353a566-0070-4e5c-bef6-fce853bfe7e6').style.display = 'none'
+                document.getElementById('answer-ae17253f-2de3-449e-9970-746667d52fc2').style.display = 'inline-block';
+                document.getElementById('button-ae17253f-2de3-449e-9970-746667d52fc2').style.display = 'none'
             "
         >
             Show Answer
@@ -3017,13 +3017,13 @@ <h2>Problem #247</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-e88bc5ac-a384-4a49-a295-4af1abe638ec" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-e88bc5ac-a384-4a49-a295-4af1abe638ec">
+    <span id="answer-7ceab381-1817-4bf1-8505-018e8323889d" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-7ceab381-1817-4bf1-8505-018e8323889d">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-e88bc5ac-a384-4a49-a295-4af1abe638ec').style.display = 'inline-block';
-                document.getElementById('button-e88bc5ac-a384-4a49-a295-4af1abe638ec').style.display = 'none'
+                document.getElementById('answer-7ceab381-1817-4bf1-8505-018e8323889d').style.display = 'inline-block';
+                document.getElementById('button-7ceab381-1817-4bf1-8505-018e8323889d').style.display = 'none'
             "
         >
             Show Answer
@@ -3074,13 +3074,13 @@ <h2>Problem #249</h2>
 <p>What will be the <b>finish</b> time of node <span class="math">\(c\)</span>? Assume the convention that a node's neighbors are produced in alphabetical order.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-c7af7a3d-94e4-40c1-aab4-a4dcc0b0fa2d" style="display: none">11</span>
-    <span id="button-c7af7a3d-94e4-40c1-aab4-a4dcc0b0fa2d">
+    <span id="answer-06b29002-4af3-44cf-b64c-2ed1c476ec57" style="display: none">11</span>
+    <span id="button-06b29002-4af3-44cf-b64c-2ed1c476ec57">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-c7af7a3d-94e4-40c1-aab4-a4dcc0b0fa2d').style.display = 'inline-block';
-                document.getElementById('button-c7af7a3d-94e4-40c1-aab4-a4dcc0b0fa2d').style.display = 'none'
+                document.getElementById('answer-06b29002-4af3-44cf-b64c-2ed1c476ec57').style.display = 'inline-block';
+                document.getElementById('button-06b29002-4af3-44cf-b64c-2ed1c476ec57').style.display = 'none'
             "
         >
             Show Answer
@@ -3105,13 +3105,13 @@ <h2>Problem #250</h2>
 <p>What is the time complexity of BFS when run on <span class="math">\(G\)</span>? Your answer should be in asymptotic notation and in terms of <span class="math">\(n\)</span>, in as simplest terms possible.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-75974879-7a66-4699-a05a-4a82e209840b" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-75974879-7a66-4699-a05a-4a82e209840b">
+    <span id="answer-3f7bea7d-1089-47bb-bec2-eb3e5efec297" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-3f7bea7d-1089-47bb-bec2-eb3e5efec297">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-75974879-7a66-4699-a05a-4a82e209840b').style.display = 'inline-block';
-                document.getElementById('button-75974879-7a66-4699-a05a-4a82e209840b').style.display = 'none'
+                document.getElementById('answer-3f7bea7d-1089-47bb-bec2-eb3e5efec297').style.display = 'inline-block';
+                document.getElementById('button-3f7bea7d-1089-47bb-bec2-eb3e5efec297').style.display = 'none'
             "
         >
             Show Answer
@@ -3157,13 +3157,13 @@ <h2>Problem #251</h2>
 <p>How many times will <span class="inline-code"><code>"here!"</code></span> be printed? Your answer should be an exact number.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-aef8702c-5e0a-47f0-88a3-c28896728f8d" style="display: none">10</span>
-    <span id="button-aef8702c-5e0a-47f0-88a3-c28896728f8d">
+    <span id="answer-649a9e28-0585-4dee-8679-7005af829a13" style="display: none">10</span>
+    <span id="button-649a9e28-0585-4dee-8679-7005af829a13">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-aef8702c-5e0a-47f0-88a3-c28896728f8d').style.display = 'inline-block';
-                document.getElementById('button-aef8702c-5e0a-47f0-88a3-c28896728f8d').style.display = 'none'
+                document.getElementById('answer-649a9e28-0585-4dee-8679-7005af829a13').style.display = 'inline-block';
+                document.getElementById('button-649a9e28-0585-4dee-8679-7005af829a13').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/asymptotic notation.html b/practice/tags/asymptotic notation.html
index 35b54bb..b5b4d4f 100644
--- a/practice/tags/asymptotic notation.html	
+++ b/practice/tags/asymptotic notation.html	
@@ -726,13 +726,13 @@ <h2>Problem #185</h2>
 <p>Consider the function <span class="math">\(g(n) = f_2(n) / f_1(n)\)</span>. Give the tightest possible upper bound on <span class="math">\(g(n)\)</span>:</p>
 <p><span class="math">\(O(\)</span>
 <span class="inline-response-box">
-    <span id="answer-f4b8bb95-580a-4b7a-9c1a-16b0a71b3675" style="display: none"><span class="math">\(n\)</span></span>
-    <span id="button-f4b8bb95-580a-4b7a-9c1a-16b0a71b3675">
+    <span id="answer-749e94a5-557e-40fd-be62-1894e364b03b" style="display: none"><span class="math">\(n\)</span></span>
+    <span id="button-749e94a5-557e-40fd-be62-1894e364b03b">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f4b8bb95-580a-4b7a-9c1a-16b0a71b3675').style.display = 'inline-block';
-                document.getElementById('button-f4b8bb95-580a-4b7a-9c1a-16b0a71b3675').style.display = 'none'
+                document.getElementById('answer-749e94a5-557e-40fd-be62-1894e364b03b').style.display = 'inline-block';
+                document.getElementById('button-749e94a5-557e-40fd-be62-1894e364b03b').style.display = 'none'
             "
         >
             Show Answer
@@ -760,13 +760,13 @@ <h2>Problem #187</h2>
 <p>Write <span class="math">\(f(n)\)</span> in asymptotic notation in the simplest terms possible.</p>
 <p><span class="math">\(f(n) = \Theta(\)</span>
 <span class="inline-response-box">
-    <span id="answer-a75a3a35-582d-43c4-b724-035106e2d1a2" style="display: none"><span class="math">\(\sqrt n \log n\)</span></span>
-    <span id="button-a75a3a35-582d-43c4-b724-035106e2d1a2">
+    <span id="answer-9466a512-be08-4ff2-bd5c-9711bcb58691" style="display: none"><span class="math">\(\sqrt n \log n\)</span></span>
+    <span id="button-9466a512-be08-4ff2-bd5c-9711bcb58691">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-a75a3a35-582d-43c4-b724-035106e2d1a2').style.display = 'inline-block';
-                document.getElementById('button-a75a3a35-582d-43c4-b724-035106e2d1a2').style.display = 'none'
+                document.getElementById('answer-9466a512-be08-4ff2-bd5c-9711bcb58691').style.display = 'inline-block';
+                document.getElementById('button-9466a512-be08-4ff2-bd5c-9711bcb58691').style.display = 'none'
             "
         >
             Show Answer
@@ -791,13 +791,13 @@ <h2>Problem #195</h2>
 <p>Consider the function <span class="math">\(g(n) = f_2(n) / f_1(n)\)</span>. Give the tightest possible upper bound on <span class="math">\(g(n)\)</span>:</p>
 <p><span class="math">\(O(\)</span>
 <span class="inline-response-box">
-    <span id="answer-02e7eb0d-11e3-47e6-b5fc-f107d17cca05" style="display: none"><span class="math">\(n^2\)</span></span>
-    <span id="button-02e7eb0d-11e3-47e6-b5fc-f107d17cca05">
+    <span id="answer-63241a8e-d1d4-4ea3-9016-bbd141c9dd4e" style="display: none"><span class="math">\(n^2\)</span></span>
+    <span id="button-63241a8e-d1d4-4ea3-9016-bbd141c9dd4e">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-02e7eb0d-11e3-47e6-b5fc-f107d17cca05').style.display = 'inline-block';
-                document.getElementById('button-02e7eb0d-11e3-47e6-b5fc-f107d17cca05').style.display = 'none'
+                document.getElementById('answer-63241a8e-d1d4-4ea3-9016-bbd141c9dd4e').style.display = 'inline-block';
+                document.getElementById('button-63241a8e-d1d4-4ea3-9016-bbd141c9dd4e').style.display = 'none'
             "
         >
             Show Answer
@@ -874,13 +874,13 @@ <h2>Problem #207</h2>
 <p>Define <span class="math">\(f(n)  = f_1(n) \times f_2(n) \times f_3(n)\)</span>. What is <span class="math">\(f(n)\)</span>, in asymptotic notation, in simplest terms possible?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-9012353f-2e7e-4f85-9eb9-780bdeb82c41" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
-    <span id="button-9012353f-2e7e-4f85-9eb9-780bdeb82c41">
+    <span id="answer-218f9a3c-ab20-4658-b952-7420aec2a0e9" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
+    <span id="button-218f9a3c-ab20-4658-b952-7420aec2a0e9">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-9012353f-2e7e-4f85-9eb9-780bdeb82c41').style.display = 'inline-block';
-                document.getElementById('button-9012353f-2e7e-4f85-9eb9-780bdeb82c41').style.display = 'none'
+                document.getElementById('answer-218f9a3c-ab20-4658-b952-7420aec2a0e9').style.display = 'inline-block';
+                document.getElementById('button-218f9a3c-ab20-4658-b952-7420aec2a0e9').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/bellman-ford.html b/practice/tags/bellman-ford.html
index 08c62c7..c2055f6 100644
--- a/practice/tags/bellman-ford.html
+++ b/practice/tags/bellman-ford.html
@@ -261,13 +261,13 @@ <h2>Problem #227</h2>
 <p>How many iterations of the outer loop will be run in the worst case? Your answer should be a number.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-621165c9-362d-410a-9237-c427b79abc3d" style="display: none">4</span>
-    <span id="button-621165c9-362d-410a-9237-c427b79abc3d">
+    <span id="answer-22e17130-5560-49cc-ab6c-96b8ac08073c" style="display: none">4</span>
+    <span id="button-22e17130-5560-49cc-ab6c-96b8ac08073c">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-621165c9-362d-410a-9237-c427b79abc3d').style.display = 'inline-block';
-                document.getElementById('button-621165c9-362d-410a-9237-c427b79abc3d').style.display = 'none'
+                document.getElementById('answer-22e17130-5560-49cc-ab6c-96b8ac08073c').style.display = 'inline-block';
+                document.getElementById('button-22e17130-5560-49cc-ab6c-96b8ac08073c').style.display = 'none'
             "
         >
             Show Answer
@@ -303,13 +303,13 @@ <h2>Problem #232</h2>
 <p>After one iteration of the outer loop of Bellman-Ford, what is the estimated distance to node <span class="math">\(d\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-16c9ad25-7eac-4476-b5ef-ed1668d1c77e" style="display: none">9</span>
-    <span id="button-16c9ad25-7eac-4476-b5ef-ed1668d1c77e">
+    <span id="answer-5aaec8e0-fa4a-4f7e-8351-3e0c5f4b506c" style="display: none">9</span>
+    <span id="button-5aaec8e0-fa4a-4f7e-8351-3e0c5f4b506c">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-16c9ad25-7eac-4476-b5ef-ed1668d1c77e').style.display = 'inline-block';
-                document.getElementById('button-16c9ad25-7eac-4476-b5ef-ed1668d1c77e').style.display = 'none'
+                document.getElementById('answer-5aaec8e0-fa4a-4f7e-8351-3e0c5f4b506c').style.display = 'inline-block';
+                document.getElementById('button-5aaec8e0-fa4a-4f7e-8351-3e0c5f4b506c').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/best and worst case.html b/practice/tags/best and worst case.html
index 11b613a..5294e65 100644
--- a/practice/tags/best and worst case.html	
+++ b/practice/tags/best and worst case.html	
@@ -385,13 +385,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is the <b>best case</b> time complexity of this code as a function of <span class="math">\(n\)</span>? State your answer using asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-95b5313d-9603-43b0-bd69-3b28b2e8e2f4" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-95b5313d-9603-43b0-bd69-3b28b2e8e2f4">
+    <span id="answer-4d92e957-5b1f-40fa-ba7c-c0cf6ee96d64" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-4d92e957-5b1f-40fa-ba7c-c0cf6ee96d64">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-95b5313d-9603-43b0-bd69-3b28b2e8e2f4').style.display = 'inline-block';
-                document.getElementById('button-95b5313d-9603-43b0-bd69-3b28b2e8e2f4').style.display = 'none'
+                document.getElementById('answer-4d92e957-5b1f-40fa-ba7c-c0cf6ee96d64').style.display = 'inline-block';
+                document.getElementById('button-4d92e957-5b1f-40fa-ba7c-c0cf6ee96d64').style.display = 'none'
             "
         >
             Show Answer
@@ -406,13 +406,13 @@ <h3 class="subproblem-id">Part 2)</h3>
 <p>What is the <b>worst case</b> time complexity of this code as a function of <span class="math">\(n\)</span>? State your answer using asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-3e1afd99-c701-4373-9658-7ae1748e9cb8" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-3e1afd99-c701-4373-9658-7ae1748e9cb8">
+    <span id="answer-7aa4801d-e5ac-4029-9903-524608cf37ad" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-7aa4801d-e5ac-4029-9903-524608cf37ad">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-3e1afd99-c701-4373-9658-7ae1748e9cb8').style.display = 'inline-block';
-                document.getElementById('button-3e1afd99-c701-4373-9658-7ae1748e9cb8').style.display = 'none'
+                document.getElementById('answer-7aa4801d-e5ac-4029-9903-524608cf37ad').style.display = 'inline-block';
+                document.getElementById('button-7aa4801d-e5ac-4029-9903-524608cf37ad').style.display = 'none'
             "
         >
             Show Answer
@@ -447,13 +447,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is a <b>tight</b> theoretical lower bound for this problem? Again, you may assume that the lists are both sorted. State your answer in asymptotic notation as a function of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-ae8624df-e0e5-4a32-9023-661df52e1a13" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-ae8624df-e0e5-4a32-9023-661df52e1a13">
+    <span id="answer-0f3815ee-747c-4236-af61-bf8c2036c510" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-0f3815ee-747c-4236-af61-bf8c2036c510">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-ae8624df-e0e5-4a32-9023-661df52e1a13').style.display = 'inline-block';
-                document.getElementById('button-ae8624df-e0e5-4a32-9023-661df52e1a13').style.display = 'none'
+                document.getElementById('answer-0f3815ee-747c-4236-af61-bf8c2036c510').style.display = 'inline-block';
+                document.getElementById('button-0f3815ee-747c-4236-af61-bf8c2036c510').style.display = 'none'
             "
         >
             Show Answer
@@ -514,13 +514,13 @@ <h2>Problem #191</h2>
 <p>What is the best case time complexity of <span class="inline-code"><code>foo</code></span> as a function of <span class="math">\(n\)</span>? State your answer using asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-dd4c61da-103e-46d4-ab1f-fb02922195c9" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-dd4c61da-103e-46d4-ab1f-fb02922195c9">
+    <span id="answer-4cc0781e-17ed-433e-9759-4c8f16719d6b" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-4cc0781e-17ed-433e-9759-4c8f16719d6b">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-dd4c61da-103e-46d4-ab1f-fb02922195c9').style.display = 'inline-block';
-                document.getElementById('button-dd4c61da-103e-46d4-ab1f-fb02922195c9').style.display = 'none'
+                document.getElementById('answer-4cc0781e-17ed-433e-9759-4c8f16719d6b').style.display = 'inline-block';
+                document.getElementById('button-4cc0781e-17ed-433e-9759-4c8f16719d6b').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/binary search trees.html b/practice/tags/binary search trees.html
index e57bdc3..1f89529 100644
--- a/practice/tags/binary search trees.html	
+++ b/practice/tags/binary search trees.html	
@@ -263,13 +263,13 @@ <h2>Problem #188</h2>
 <p>Suppose a collection of unique numbers is stored in a <b>balanced</b> binary search tree, and that each node in the tree has been given a <span class="inline-code"><code>.size</code></span> attribute which contains the number of nodes in the subtree rooted at that node. What is the time complexity required of an efficient algorithm for computing the number of elements in the collection which are larger than some threshold, <span class="math">\(t\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-7be4600b-8026-4c3b-8b39-dc750ee9ab68" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
-    <span id="button-7be4600b-8026-4c3b-8b39-dc750ee9ab68">
+    <span id="answer-80e83031-039c-40a1-b8bb-3765b4902ffa" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
+    <span id="button-80e83031-039c-40a1-b8bb-3765b4902ffa">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-7be4600b-8026-4c3b-8b39-dc750ee9ab68').style.display = 'inline-block';
-                document.getElementById('button-7be4600b-8026-4c3b-8b39-dc750ee9ab68').style.display = 'none'
+                document.getElementById('answer-80e83031-039c-40a1-b8bb-3765b4902ffa').style.display = 'inline-block';
+                document.getElementById('button-80e83031-039c-40a1-b8bb-3765b4902ffa').style.display = 'none'
             "
         >
             Show Answer
@@ -293,13 +293,13 @@ <h2>Problem #194</h2>
 <p>Suppose a collection of <span class="math">\(n\)</span> numbers is stored in a balanced binary search tree. What is the time complexity required of an efficient algorithm to calculate the mean of the collection? State your answer as a function of <span class="math">\(n\)</span> in asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-c93f595a-f3fe-4121-9dff-741ba693adf4" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-c93f595a-f3fe-4121-9dff-741ba693adf4">
+    <span id="answer-9bacbeee-2b47-407d-9f9d-327fe8b7eb24" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-9bacbeee-2b47-407d-9f9d-327fe8b7eb24">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-c93f595a-f3fe-4121-9dff-741ba693adf4').style.display = 'inline-block';
-                document.getElementById('button-c93f595a-f3fe-4121-9dff-741ba693adf4').style.display = 'none'
+                document.getElementById('answer-9bacbeee-2b47-407d-9f9d-327fe8b7eb24').style.display = 'inline-block';
+                document.getElementById('button-9bacbeee-2b47-407d-9f9d-327fe8b7eb24').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/breadth first search.html b/practice/tags/breadth first search.html
index deeeaa5..7b4694a 100644
--- a/practice/tags/breadth first search.html	
+++ b/practice/tags/breadth first search.html	
@@ -496,13 +496,13 @@ <h2>Problem #218</h2>
 <center><div class="image"><img src="../images/218/graph.png" /></div></center>
 <p>
 <span class="inline-response-box">
-    <span id="answer-b6ee024e-790c-433d-8be3-b454d5c225a5" style="display: none"><span class="math">\(d\)</span></span>
-    <span id="button-b6ee024e-790c-433d-8be3-b454d5c225a5">
+    <span id="answer-451eed06-4f46-4bce-beb2-0a7d04dc95fa" style="display: none"><span class="math">\(d\)</span></span>
+    <span id="button-451eed06-4f46-4bce-beb2-0a7d04dc95fa">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-b6ee024e-790c-433d-8be3-b454d5c225a5').style.display = 'inline-block';
-                document.getElementById('button-b6ee024e-790c-433d-8be3-b454d5c225a5').style.display = 'none'
+                document.getElementById('answer-451eed06-4f46-4bce-beb2-0a7d04dc95fa').style.display = 'inline-block';
+                document.getElementById('button-451eed06-4f46-4bce-beb2-0a7d04dc95fa').style.display = 'none'
             "
         >
             Show Answer
@@ -553,13 +553,13 @@ <h2>Problem #228</h2>
 <p>How many times will <span class="inline-code"><code>"Here!"</code></span> be printed?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-0915261e-4f04-4256-a60c-40fd4095f6c8" style="display: none">2</span>
-    <span id="button-0915261e-4f04-4256-a60c-40fd4095f6c8">
+    <span id="answer-aca9374b-25f5-43f9-bc8e-232711a765ab" style="display: none">2</span>
+    <span id="button-aca9374b-25f5-43f9-bc8e-232711a765ab">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-0915261e-4f04-4256-a60c-40fd4095f6c8').style.display = 'inline-block';
-                document.getElementById('button-0915261e-4f04-4256-a60c-40fd4095f6c8').style.display = 'none'
+                document.getElementById('answer-aca9374b-25f5-43f9-bc8e-232711a765ab').style.display = 'inline-block';
+                document.getElementById('button-aca9374b-25f5-43f9-bc8e-232711a765ab').style.display = 'none'
             "
         >
             Show Answer
@@ -585,13 +585,13 @@ <h2>Problem #229</h2>
 <p>What is the most number of nodes that can be in the queue at any one time?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-d30d73d7-4112-4a54-8c97-4a0673dc6fed" style="display: none">8</span>
-    <span id="button-d30d73d7-4112-4a54-8c97-4a0673dc6fed">
+    <span id="answer-9a58c3bf-9390-4fb6-ab66-dba81f4611fb" style="display: none">8</span>
+    <span id="button-9a58c3bf-9390-4fb6-ab66-dba81f4611fb">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-d30d73d7-4112-4a54-8c97-4a0673dc6fed').style.display = 'inline-block';
-                document.getElementById('button-d30d73d7-4112-4a54-8c97-4a0673dc6fed').style.display = 'none'
+                document.getElementById('answer-9a58c3bf-9390-4fb6-ab66-dba81f4611fb').style.display = 'inline-block';
+                document.getElementById('button-9a58c3bf-9390-4fb6-ab66-dba81f4611fb').style.display = 'none'
             "
         >
             Show Answer
@@ -667,13 +667,13 @@ <h2>Problem #239</h2>
 <p>Suppose a BFS is performed on this graph with node <span class="math">\(s\)</span> as the starting node. What is the largest number of nodes that could possibly be in the queue at any one time?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-494043d8-454d-4eb9-8c13-377138c47d2b" style="display: none">9</span>
-    <span id="button-494043d8-454d-4eb9-8c13-377138c47d2b">
+    <span id="answer-0c72b08d-84f2-4d11-ba55-5a23f4229499" style="display: none">9</span>
+    <span id="button-0c72b08d-84f2-4d11-ba55-5a23f4229499">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-494043d8-454d-4eb9-8c13-377138c47d2b').style.display = 'inline-block';
-                document.getElementById('button-494043d8-454d-4eb9-8c13-377138c47d2b').style.display = 'none'
+                document.getElementById('answer-0c72b08d-84f2-4d11-ba55-5a23f4229499').style.display = 'inline-block';
+                document.getElementById('button-0c72b08d-84f2-4d11-ba55-5a23f4229499').style.display = 'none'
             "
         >
             Show Answer
@@ -705,13 +705,13 @@ <h2>Problem #242</h2>
 <center><div class="image"><img src="../images/242/graph.png" /></div></center>
 <p>
 <span class="inline-response-box">
-    <span id="answer-98f6b2cc-27ae-48ec-9b18-5cf0a168cc34" style="display: none">5</span>
-    <span id="button-98f6b2cc-27ae-48ec-9b18-5cf0a168cc34">
+    <span id="answer-ac77d93a-62ae-4f7c-a7d0-95a7215cad01" style="display: none">5</span>
+    <span id="button-ac77d93a-62ae-4f7c-a7d0-95a7215cad01">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-98f6b2cc-27ae-48ec-9b18-5cf0a168cc34').style.display = 'inline-block';
-                document.getElementById('button-98f6b2cc-27ae-48ec-9b18-5cf0a168cc34').style.display = 'none'
+                document.getElementById('answer-ac77d93a-62ae-4f7c-a7d0-95a7215cad01').style.display = 'inline-block';
+                document.getElementById('button-ac77d93a-62ae-4f7c-a7d0-95a7215cad01').style.display = 'none'
             "
         >
             Show Answer
@@ -736,13 +736,13 @@ <h2>Problem #250</h2>
 <p>What is the time complexity of BFS when run on <span class="math">\(G\)</span>? Your answer should be in asymptotic notation and in terms of <span class="math">\(n\)</span>, in as simplest terms possible.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-e8f78d29-8767-4664-8c6b-c10b8c8ca7a0" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-e8f78d29-8767-4664-8c6b-c10b8c8ca7a0">
+    <span id="answer-bccab01c-bd3b-46d6-8819-105b677755d5" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-bccab01c-bd3b-46d6-8819-105b677755d5">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-e8f78d29-8767-4664-8c6b-c10b8c8ca7a0').style.display = 'inline-block';
-                document.getElementById('button-e8f78d29-8767-4664-8c6b-c10b8c8ca7a0').style.display = 'none'
+                document.getElementById('answer-bccab01c-bd3b-46d6-8819-105b677755d5').style.display = 'inline-block';
+                document.getElementById('button-bccab01c-bd3b-46d6-8819-105b677755d5').style.display = 'none'
             "
         >
             Show Answer
@@ -788,13 +788,13 @@ <h2>Problem #251</h2>
 <p>How many times will <span class="inline-code"><code>"here!"</code></span> be printed? Your answer should be an exact number.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-dc265a3d-5c0e-4c0b-9a1c-ce85ae0799e4" style="display: none">10</span>
-    <span id="button-dc265a3d-5c0e-4c0b-9a1c-ce85ae0799e4">
+    <span id="answer-86344c33-f3b4-42a3-a754-aed145ed5a02" style="display: none">10</span>
+    <span id="button-86344c33-f3b4-42a3-a754-aed145ed5a02">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-dc265a3d-5c0e-4c0b-9a1c-ce85ae0799e4').style.display = 'inline-block';
-                document.getElementById('button-dc265a3d-5c0e-4c0b-9a1c-ce85ae0799e4').style.display = 'none'
+                document.getElementById('answer-86344c33-f3b4-42a3-a754-aed145ed5a02').style.display = 'inline-block';
+                document.getElementById('button-86344c33-f3b4-42a3-a754-aed145ed5a02').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/connected components.html b/practice/tags/connected components.html
index fd4624a..1bd613b 100644
--- a/practice/tags/connected components.html	
+++ b/practice/tags/connected components.html	
@@ -333,13 +333,13 @@ <h2>Problem #236</h2>
 <p>Suppose an <b>undirected</b> graph has 3 connected components and 7 nodes. What is the <i>maximum</i> number of edges it can have?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-d3e33d71-82ec-4160-9dfa-8139b16b7c27" style="display: none">10</span>
-    <span id="button-d3e33d71-82ec-4160-9dfa-8139b16b7c27">
+    <span id="answer-3183ce1f-867c-4e31-83c5-c5fed296995e" style="display: none">10</span>
+    <span id="button-3183ce1f-867c-4e31-83c5-c5fed296995e">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-d3e33d71-82ec-4160-9dfa-8139b16b7c27').style.display = 'inline-block';
-                document.getElementById('button-d3e33d71-82ec-4160-9dfa-8139b16b7c27').style.display = 'none'
+                document.getElementById('answer-3183ce1f-867c-4e31-83c5-c5fed296995e').style.display = 'inline-block';
+                document.getElementById('button-3183ce1f-867c-4e31-83c5-c5fed296995e').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/depth first search.html b/practice/tags/depth first search.html
index c693855..a18036e 100644
--- a/practice/tags/depth first search.html	
+++ b/practice/tags/depth first search.html	
@@ -601,13 +601,13 @@ <h2>Problem #213</h2>
 <p>How many times will <span class="inline-code"><code>"Hello!"</code></span> be printed? Note that this is not a full DFS, and that not all nodes are reachable from <span class="math">\(a\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-5f32d50f-df77-4feb-88b8-7cb03dd85626" style="display: none">10</span>
-    <span id="button-5f32d50f-df77-4feb-88b8-7cb03dd85626">
+    <span id="answer-be694161-43cb-4562-bcf2-634a2e3b1cda" style="display: none">10</span>
+    <span id="button-be694161-43cb-4562-bcf2-634a2e3b1cda">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-5f32d50f-df77-4feb-88b8-7cb03dd85626').style.display = 'inline-block';
-                document.getElementById('button-5f32d50f-df77-4feb-88b8-7cb03dd85626').style.display = 'none'
+                document.getElementById('answer-be694161-43cb-4562-bcf2-634a2e3b1cda').style.display = 'inline-block';
+                document.getElementById('button-be694161-43cb-4562-bcf2-634a2e3b1cda').style.display = 'none'
             "
         >
             Show Answer
@@ -658,13 +658,13 @@ <h2>Problem #216</h2>
 <p>What will be the finish time of node <span class="math">\(e\)</span>? Assume the convention that a node's neighbors are produced in alphabetical order.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-8048d128-3f58-433d-b501-37b4a5caa42b" style="display: none">13</span>
-    <span id="button-8048d128-3f58-433d-b501-37b4a5caa42b">
+    <span id="answer-97c34634-e483-49e7-927f-32e908afa681" style="display: none">13</span>
+    <span id="button-97c34634-e483-49e7-927f-32e908afa681">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-8048d128-3f58-433d-b501-37b4a5caa42b').style.display = 'inline-block';
-                document.getElementById('button-8048d128-3f58-433d-b501-37b4a5caa42b').style.display = 'none'
+                document.getElementById('answer-97c34634-e483-49e7-927f-32e908afa681').style.display = 'inline-block';
+                document.getElementById('button-97c34634-e483-49e7-927f-32e908afa681').style.display = 'none'
             "
         >
             Show Answer
@@ -732,13 +732,13 @@ <h2>Problem #238</h2>
 <p>How many times will <span class="inline-code"><code>"Hello!"</code></span> be printed? Note that this is not a full DFS, and that not all nodes are reachable from <span class="math">\(a\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-5f2b9a80-353b-42a3-b866-ced67333dc92" style="display: none">6</span>
-    <span id="button-5f2b9a80-353b-42a3-b866-ced67333dc92">
+    <span id="answer-c7ba416e-828d-4c93-8aa9-8e1cfef52165" style="display: none">6</span>
+    <span id="button-c7ba416e-828d-4c93-8aa9-8e1cfef52165">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-5f2b9a80-353b-42a3-b866-ced67333dc92').style.display = 'inline-block';
-                document.getElementById('button-5f2b9a80-353b-42a3-b866-ced67333dc92').style.display = 'none'
+                document.getElementById('answer-c7ba416e-828d-4c93-8aa9-8e1cfef52165').style.display = 'inline-block';
+                document.getElementById('button-c7ba416e-828d-4c93-8aa9-8e1cfef52165').style.display = 'none'
             "
         >
             Show Answer
@@ -789,13 +789,13 @@ <h2>Problem #249</h2>
 <p>What will be the <b>finish</b> time of node <span class="math">\(c\)</span>? Assume the convention that a node's neighbors are produced in alphabetical order.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-f8aa0897-8dad-4181-adcb-0b97731e958f" style="display: none">11</span>
-    <span id="button-f8aa0897-8dad-4181-adcb-0b97731e958f">
+    <span id="answer-d85230d8-1015-4bf1-89a6-02e882daaf84" style="display: none">11</span>
+    <span id="button-d85230d8-1015-4bf1-89a6-02e882daaf84">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f8aa0897-8dad-4181-adcb-0b97731e958f').style.display = 'inline-block';
-                document.getElementById('button-f8aa0897-8dad-4181-adcb-0b97731e958f').style.display = 'none'
+                document.getElementById('answer-d85230d8-1015-4bf1-89a6-02e882daaf84').style.display = 'inline-block';
+                document.getElementById('button-d85230d8-1015-4bf1-89a6-02e882daaf84').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/dijkstra.html b/practice/tags/dijkstra.html
index 9019ede..9f354eb 100644
--- a/practice/tags/dijkstra.html
+++ b/practice/tags/dijkstra.html
@@ -123,13 +123,13 @@ <h2>Problem #226</h2>
 <p>What will be the fourth node popped from the priority queue? (The first node popped is the source, <span class="math">\(a\)</span>.)</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-a8f074ca-b43e-4521-9bd7-5051f64c330f" style="display: none"><span class="math">\(f\)</span></span>
-    <span id="button-a8f074ca-b43e-4521-9bd7-5051f64c330f">
+    <span id="answer-6f8f1a9f-e265-49cb-bccb-03c8abeb21cd" style="display: none"><span class="math">\(f\)</span></span>
+    <span id="button-6f8f1a9f-e265-49cb-bccb-03c8abeb21cd">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-a8f074ca-b43e-4521-9bd7-5051f64c330f').style.display = 'inline-block';
-                document.getElementById('button-a8f074ca-b43e-4521-9bd7-5051f64c330f').style.display = 'none'
+                document.getElementById('answer-6f8f1a9f-e265-49cb-bccb-03c8abeb21cd').style.display = 'inline-block';
+                document.getElementById('button-6f8f1a9f-e265-49cb-bccb-03c8abeb21cd').style.display = 'none'
             "
         >
             Show Answer
@@ -156,13 +156,13 @@ <h2>Problem #237</h2>
 <p>What will be the fifth node added to <span class="math">\(C\)</span> by Dijkstra's algorithm? (The first node added to <span class="math">\(C\)</span> is the source, <span class="math">\(a\)</span>.)</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-f0e47d0b-ba3e-451e-8316-6e3b272465aa" style="display: none"><span class="math">\(b\)</span></span>
-    <span id="button-f0e47d0b-ba3e-451e-8316-6e3b272465aa">
+    <span id="answer-a8f6f802-b284-4766-b2bc-c74f8fc21f1f" style="display: none"><span class="math">\(b\)</span></span>
+    <span id="button-a8f6f802-b284-4766-b2bc-c74f8fc21f1f">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f0e47d0b-ba3e-451e-8316-6e3b272465aa').style.display = 'inline-block';
-                document.getElementById('button-f0e47d0b-ba3e-451e-8316-6e3b272465aa').style.display = 'none'
+                document.getElementById('answer-a8f6f802-b284-4766-b2bc-c74f8fc21f1f').style.display = 'inline-block';
+                document.getElementById('button-a8f6f802-b284-4766-b2bc-c74f8fc21f1f').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/expected time.html b/practice/tags/expected time.html
index bcb8406..3d79e0b 100644
--- a/practice/tags/expected time.html	
+++ b/practice/tags/expected time.html	
@@ -434,13 +434,13 @@ <h2>Problem #177</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-91f04ca8-d00f-4d55-8dfe-31738b171abf" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-91f04ca8-d00f-4d55-8dfe-31738b171abf">
+    <span id="answer-fa941fc3-a3aa-4119-8659-f75d8f74a22e" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-fa941fc3-a3aa-4119-8659-f75d8f74a22e">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-91f04ca8-d00f-4d55-8dfe-31738b171abf').style.display = 'inline-block';
-                document.getElementById('button-91f04ca8-d00f-4d55-8dfe-31738b171abf').style.display = 'none'
+                document.getElementById('answer-fa941fc3-a3aa-4119-8659-f75d8f74a22e').style.display = 'inline-block';
+                document.getElementById('button-fa941fc3-a3aa-4119-8659-f75d8f74a22e').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/graph theory.html b/practice/tags/graph theory.html
index 8144a07..56ee23b 100644
--- a/practice/tags/graph theory.html	
+++ b/practice/tags/graph theory.html	
@@ -470,13 +470,13 @@ <h2>Problem #209</h2>
 <p>Suppose an <b>undirected</b> graph has 16 edges. What is the <i>smallest</i> number of nodes it can have?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-33d335aa-339e-4ed7-b3e4-51dd60c7d111" style="display: none">7</span>
-    <span id="button-33d335aa-339e-4ed7-b3e4-51dd60c7d111">
+    <span id="answer-7cc5ec16-0b11-4131-a568-c3c8730dd56d" style="display: none">7</span>
+    <span id="button-7cc5ec16-0b11-4131-a568-c3c8730dd56d">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-33d335aa-339e-4ed7-b3e4-51dd60c7d111').style.display = 'inline-block';
-                document.getElementById('button-33d335aa-339e-4ed7-b3e4-51dd60c7d111').style.display = 'none'
+                document.getElementById('answer-7cc5ec16-0b11-4131-a568-c3c8730dd56d').style.display = 'inline-block';
+                document.getElementById('button-7cc5ec16-0b11-4131-a568-c3c8730dd56d').style.display = 'none'
             "
         >
             Show Answer
@@ -500,13 +500,13 @@ <h2>Problem #210</h2>
 <p>Suppose a <b>directed</b> graph has 5 nodes and 3 edges. What is the greatest possible degree of any node in the graph?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-918a00f0-a6b5-455f-baed-c7a900048d37" style="display: none">4</span>
-    <span id="button-918a00f0-a6b5-455f-baed-c7a900048d37">
+    <span id="answer-d1ed09c5-f503-48ca-81af-85173e431b52" style="display: none">4</span>
+    <span id="button-d1ed09c5-f503-48ca-81af-85173e431b52">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-918a00f0-a6b5-455f-baed-c7a900048d37').style.display = 'inline-block';
-                document.getElementById('button-918a00f0-a6b5-455f-baed-c7a900048d37').style.display = 'none'
+                document.getElementById('answer-d1ed09c5-f503-48ca-81af-85173e431b52').style.display = 'inline-block';
+                document.getElementById('button-d1ed09c5-f503-48ca-81af-85173e431b52').style.display = 'none'
             "
         >
             Show Answer
@@ -675,13 +675,13 @@ <h2>Problem #246</h2>
 <p>Note: in studying, you might have come across a problem in the practice bank about ``hub and spoke'' graphs. This question is related, but not the same!</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-307ab448-80cc-481f-add8-0b04b698df52" style="display: none"><span class="math">\(\Theta(V)\)</span></span>
-    <span id="button-307ab448-80cc-481f-add8-0b04b698df52">
+    <span id="answer-04071746-4e00-49f4-95ad-eb11d80afe13" style="display: none"><span class="math">\(\Theta(V)\)</span></span>
+    <span id="button-04071746-4e00-49f4-95ad-eb11d80afe13">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-307ab448-80cc-481f-add8-0b04b698df52').style.display = 'inline-block';
-                document.getElementById('button-307ab448-80cc-481f-add8-0b04b698df52').style.display = 'none'
+                document.getElementById('answer-04071746-4e00-49f4-95ad-eb11d80afe13').style.display = 'inline-block';
+                document.getElementById('button-04071746-4e00-49f4-95ad-eb11d80afe13').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/hashing.html b/practice/tags/hashing.html
index 03e5ffb..0ab0cb1 100644
--- a/practice/tags/hashing.html
+++ b/practice/tags/hashing.html
@@ -313,13 +313,13 @@ <h2>Problem #212</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-5c45613c-fd2d-4c0f-ad0e-9c1d295887e0" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-5c45613c-fd2d-4c0f-ad0e-9c1d295887e0">
+    <span id="answer-5c484472-eead-44e8-a39a-a0dc33ef3146" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-5c484472-eead-44e8-a39a-a0dc33ef3146">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-5c45613c-fd2d-4c0f-ad0e-9c1d295887e0').style.display = 'inline-block';
-                document.getElementById('button-5c45613c-fd2d-4c0f-ad0e-9c1d295887e0').style.display = 'none'
+                document.getElementById('answer-5c484472-eead-44e8-a39a-a0dc33ef3146').style.display = 'inline-block';
+                document.getElementById('button-5c484472-eead-44e8-a39a-a0dc33ef3146').style.display = 'none'
             "
         >
             Show Answer
@@ -384,13 +384,13 @@ <h2>Problem #247</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-3fc549eb-a2ca-4ca4-8d1a-f46d98b173ec" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-3fc549eb-a2ca-4ca4-8d1a-f46d98b173ec">
+    <span id="answer-c447c1f7-f573-4bae-b53b-ced6c2288405" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-c447c1f7-f573-4bae-b53b-ced6c2288405">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-3fc549eb-a2ca-4ca4-8d1a-f46d98b173ec').style.display = 'inline-block';
-                document.getElementById('button-3fc549eb-a2ca-4ca4-8d1a-f46d98b173ec').style.display = 'none'
+                document.getElementById('answer-c447c1f7-f573-4bae-b53b-ced6c2288405').style.display = 'inline-block';
+                document.getElementById('button-c447c1f7-f573-4bae-b53b-ced6c2288405').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/mergesort.html b/practice/tags/mergesort.html
index 3ae7426..300d48a 100644
--- a/practice/tags/mergesort.html
+++ b/practice/tags/mergesort.html
@@ -280,13 +280,13 @@ <h2>Problem #193</h2>
 <p>If all of the numbers that are printed are added up, what will the sum be?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-9fe35508-0031-4efe-9eda-b10af3d246de" style="display: none">24</span>
-    <span id="button-9fe35508-0031-4efe-9eda-b10af3d246de">
+    <span id="answer-d59f2f7d-28a3-486d-987d-873bb80164b7" style="display: none">24</span>
+    <span id="button-d59f2f7d-28a3-486d-987d-873bb80164b7">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-9fe35508-0031-4efe-9eda-b10af3d246de').style.display = 'inline-block';
-                document.getElementById('button-9fe35508-0031-4efe-9eda-b10af3d246de').style.display = 'none'
+                document.getElementById('answer-d59f2f7d-28a3-486d-987d-873bb80164b7').style.display = 'inline-block';
+                document.getElementById('button-d59f2f7d-28a3-486d-987d-873bb80164b7').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/quickselect.html b/practice/tags/quickselect.html
index 0a017fc..7bef16a 100644
--- a/practice/tags/quickselect.html
+++ b/practice/tags/quickselect.html
@@ -217,13 +217,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is the <b>fewest</b> number of times that ``hello world!'' can possibly be printed? Your answer should be a number, and not in terms of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-11d74eee-b295-424c-b3f6-38f7e65b0225" style="display: none">1</span>
-    <span id="button-11d74eee-b295-424c-b3f6-38f7e65b0225">
+    <span id="answer-ec7cf968-8a1f-454f-9423-b89aca6ffa08" style="display: none">1</span>
+    <span id="button-ec7cf968-8a1f-454f-9423-b89aca6ffa08">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-11d74eee-b295-424c-b3f6-38f7e65b0225').style.display = 'inline-block';
-                document.getElementById('button-11d74eee-b295-424c-b3f6-38f7e65b0225').style.display = 'none'
+                document.getElementById('answer-ec7cf968-8a1f-454f-9423-b89aca6ffa08').style.display = 'inline-block';
+                document.getElementById('button-ec7cf968-8a1f-454f-9423-b89aca6ffa08').style.display = 'none'
             "
         >
             Show Answer
@@ -238,13 +238,13 @@ <h3 class="subproblem-id">Part 2)</h3>
 <p>What is the <b>greatest</b> number of times that ``hello world'' can possibly be printed? Your answer should be a number, and not in terms of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-e06d4b9a-f663-4e18-80d2-bfa20f44f46f" style="display: none">10</span>
-    <span id="button-e06d4b9a-f663-4e18-80d2-bfa20f44f46f">
+    <span id="answer-ccbbc3e8-9a0f-45e0-a77d-050578475c49" style="display: none">10</span>
+    <span id="button-ccbbc3e8-9a0f-45e0-a77d-050578475c49">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-e06d4b9a-f663-4e18-80d2-bfa20f44f46f').style.display = 'inline-block';
-                document.getElementById('button-e06d4b9a-f663-4e18-80d2-bfa20f44f46f').style.display = 'none'
+                document.getElementById('answer-ccbbc3e8-9a0f-45e0-a77d-050578475c49').style.display = 'inline-block';
+                document.getElementById('button-ccbbc3e8-9a0f-45e0-a77d-050578475c49').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/recurrence relations.html b/practice/tags/recurrence relations.html
index 4dbc106..87dd1cb 100644
--- a/practice/tags/recurrence relations.html	
+++ b/practice/tags/recurrence relations.html	
@@ -519,13 +519,13 @@ <h2>Problem #201</h2>
         \end{cases}\]</div>
 <p>
 <span class="inline-response-box">
-    <span id="answer-3cd51e14-8ee0-41b1-949f-d153928b9146" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-3cd51e14-8ee0-41b1-949f-d153928b9146">
+    <span id="answer-14fdabee-38bb-493c-a1a2-9b41337ee6fd" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-14fdabee-38bb-493c-a1a2-9b41337ee6fd">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-3cd51e14-8ee0-41b1-949f-d153928b9146').style.display = 'inline-block';
-                document.getElementById('button-3cd51e14-8ee0-41b1-949f-d153928b9146').style.display = 'none'
+                document.getElementById('answer-14fdabee-38bb-493c-a1a2-9b41337ee6fd').style.display = 'inline-block';
+                document.getElementById('button-14fdabee-38bb-493c-a1a2-9b41337ee6fd').style.display = 'none'
             "
         >
             Show Answer
@@ -575,13 +575,13 @@ <h2>Problem #202</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-96af8d19-d23e-41f9-9caa-9829bc80d224" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-96af8d19-d23e-41f9-9caa-9829bc80d224">
+    <span id="answer-ebc3b708-8f3c-4a7e-8451-8b4b9f4e6c2c" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-ebc3b708-8f3c-4a7e-8451-8b4b9f4e6c2c">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-96af8d19-d23e-41f9-9caa-9829bc80d224').style.display = 'inline-block';
-                document.getElementById('button-96af8d19-d23e-41f9-9caa-9829bc80d224').style.display = 'none'
+                document.getElementById('answer-ebc3b708-8f3c-4a7e-8451-8b4b9f4e6c2c').style.display = 'inline-block';
+                document.getElementById('button-ebc3b708-8f3c-4a7e-8451-8b4b9f4e6c2c').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/theoretical lower bounds.html b/practice/tags/theoretical lower bounds.html
index 58902ca..d6ace4c 100644
--- a/practice/tags/theoretical lower bounds.html	
+++ b/practice/tags/theoretical lower bounds.html	
@@ -323,13 +323,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is a <b>tight</b> theoretical lower bound for this problem? Again, you may assume that the lists are both sorted. State your answer in asymptotic notation as a function of <span class="math">\(n\)</span>.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-318f40b1-d3c9-4775-a9f6-5d6325c40ab8" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-318f40b1-d3c9-4775-a9f6-5d6325c40ab8">
+    <span id="answer-1600d0e2-cb8a-4c1f-a42f-89102fc5067a" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-1600d0e2-cb8a-4c1f-a42f-89102fc5067a">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-318f40b1-d3c9-4775-a9f6-5d6325c40ab8').style.display = 'inline-block';
-                document.getElementById('button-318f40b1-d3c9-4775-a9f6-5d6325c40ab8').style.display = 'none'
+                document.getElementById('answer-1600d0e2-cb8a-4c1f-a42f-89102fc5067a').style.display = 'inline-block';
+                document.getElementById('button-1600d0e2-cb8a-4c1f-a42f-89102fc5067a').style.display = 'none'
             "
         >
             Show Answer
@@ -370,13 +370,13 @@ <h3 class="subproblem-id">Part 1)</h3>
 <p>What is the best possible (worst case) time complexity of any algorithm for finding the <b>smallest</b> difference between a number in <span class="math">\(A\)</span> and a number in <span class="math">\(B\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-00ffa4eb-d23d-44e1-baa7-85bf673849f8" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-00ffa4eb-d23d-44e1-baa7-85bf673849f8">
+    <span id="answer-6ff3eed5-01f8-49e4-9d92-f65ca55e6150" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-6ff3eed5-01f8-49e4-9d92-f65ca55e6150">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-00ffa4eb-d23d-44e1-baa7-85bf673849f8').style.display = 'inline-block';
-                document.getElementById('button-00ffa4eb-d23d-44e1-baa7-85bf673849f8').style.display = 'none'
+                document.getElementById('answer-6ff3eed5-01f8-49e4-9d92-f65ca55e6150').style.display = 'inline-block';
+                document.getElementById('button-6ff3eed5-01f8-49e4-9d92-f65ca55e6150').style.display = 'none'
             "
         >
             Show Answer
@@ -393,13 +393,13 @@ <h3 class="subproblem-id">Part 2)</h3>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-55fa5f1f-77fb-44d4-8be5-4866205cd1ff" style="display: none"><span class="math">\(\Theta(1)\)</span></span>
-    <span id="button-55fa5f1f-77fb-44d4-8be5-4866205cd1ff">
+    <span id="answer-cea84132-8d4d-4eab-85a6-8660a8acc5e9" style="display: none"><span class="math">\(\Theta(1)\)</span></span>
+    <span id="button-cea84132-8d4d-4eab-85a6-8660a8acc5e9">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-55fa5f1f-77fb-44d4-8be5-4866205cd1ff').style.display = 'inline-block';
-                document.getElementById('button-55fa5f1f-77fb-44d4-8be5-4866205cd1ff').style.display = 'none'
+                document.getElementById('answer-cea84132-8d4d-4eab-85a6-8660a8acc5e9').style.display = 'inline-block';
+                document.getElementById('button-cea84132-8d4d-4eab-85a6-8660a8acc5e9').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/time complexity.html b/practice/tags/time complexity.html
index 81bd2ca..5aae64d 100644
--- a/practice/tags/time complexity.html	
+++ b/practice/tags/time complexity.html	
@@ -754,13 +754,13 @@ <h2>Problem #165</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-20aaa9fd-a22b-4f44-8189-85e6e798c6f2" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
-    <span id="button-20aaa9fd-a22b-4f44-8189-85e6e798c6f2">
+    <span id="answer-4da67133-6a75-4f0f-82b5-c0be15dce6a1" style="display: none"><span class="math">\(\Theta(n^3)\)</span></span>
+    <span id="button-4da67133-6a75-4f0f-82b5-c0be15dce6a1">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-20aaa9fd-a22b-4f44-8189-85e6e798c6f2').style.display = 'inline-block';
-                document.getElementById('button-20aaa9fd-a22b-4f44-8189-85e6e798c6f2').style.display = 'none'
+                document.getElementById('answer-4da67133-6a75-4f0f-82b5-c0be15dce6a1').style.display = 'inline-block';
+                document.getElementById('button-4da67133-6a75-4f0f-82b5-c0be15dce6a1').style.display = 'none'
             "
         >
             Show Answer
@@ -803,13 +803,13 @@ <h2>Problem #166</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-be0dbe7e-cf4b-4449-9e39-4b63b960e600" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
-    <span id="button-be0dbe7e-cf4b-4449-9e39-4b63b960e600">
+    <span id="answer-bdf70092-29c2-47ec-9e55-0ca4d7030983" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
+    <span id="button-bdf70092-29c2-47ec-9e55-0ca4d7030983">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-be0dbe7e-cf4b-4449-9e39-4b63b960e600').style.display = 'inline-block';
-                document.getElementById('button-be0dbe7e-cf4b-4449-9e39-4b63b960e600').style.display = 'none'
+                document.getElementById('answer-bdf70092-29c2-47ec-9e55-0ca4d7030983').style.display = 'inline-block';
+                document.getElementById('button-bdf70092-29c2-47ec-9e55-0ca4d7030983').style.display = 'none'
             "
         >
             Show Answer
@@ -847,13 +847,13 @@ <h2>Problem #168</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-67748ebc-3ac5-49b2-8b7f-5349b3f6dd08" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-67748ebc-3ac5-49b2-8b7f-5349b3f6dd08">
+    <span id="answer-78b86fef-6b31-4616-a1b1-79158c75e7e0" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-78b86fef-6b31-4616-a1b1-79158c75e7e0">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-67748ebc-3ac5-49b2-8b7f-5349b3f6dd08').style.display = 'inline-block';
-                document.getElementById('button-67748ebc-3ac5-49b2-8b7f-5349b3f6dd08').style.display = 'none'
+                document.getElementById('answer-78b86fef-6b31-4616-a1b1-79158c75e7e0').style.display = 'inline-block';
+                document.getElementById('button-78b86fef-6b31-4616-a1b1-79158c75e7e0').style.display = 'none'
             "
         >
             Show Answer
@@ -905,13 +905,13 @@ <h2>Problem #176</h2>
 <p>Consider the <span class="inline-code"><code>mediansort</code></span> function from above. Suppose that <span class="inline-code"><code>find_median</code></span> takes <span class="math">\(\Theta(n)\)</span> time. What is the time complexity of <span class="inline-code"><code>mediansort</code></span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-606bc2ee-d8fa-4269-b7e8-886034f5d306" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
-    <span id="button-606bc2ee-d8fa-4269-b7e8-886034f5d306">
+    <span id="answer-1c0b6b0a-1dfc-412b-b650-5e75e3a08761" style="display: none"><span class="math">\(\Theta(n \log n)\)</span></span>
+    <span id="button-1c0b6b0a-1dfc-412b-b650-5e75e3a08761">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-606bc2ee-d8fa-4269-b7e8-886034f5d306').style.display = 'inline-block';
-                document.getElementById('button-606bc2ee-d8fa-4269-b7e8-886034f5d306').style.display = 'none'
+                document.getElementById('answer-1c0b6b0a-1dfc-412b-b650-5e75e3a08761').style.display = 'inline-block';
+                document.getElementById('button-1c0b6b0a-1dfc-412b-b650-5e75e3a08761').style.display = 'none'
             "
         >
             Show Answer
@@ -947,13 +947,13 @@ <h2>Problem #179</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-371998d8-f96a-4931-80ef-76584e032861" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-371998d8-f96a-4931-80ef-76584e032861">
+    <span id="answer-5edc3ecc-9880-4625-ab49-1834aea0ff16" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-5edc3ecc-9880-4625-ab49-1834aea0ff16">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-371998d8-f96a-4931-80ef-76584e032861').style.display = 'inline-block';
-                document.getElementById('button-371998d8-f96a-4931-80ef-76584e032861').style.display = 'none'
+                document.getElementById('answer-5edc3ecc-9880-4625-ab49-1834aea0ff16').style.display = 'inline-block';
+                document.getElementById('button-5edc3ecc-9880-4625-ab49-1834aea0ff16').style.display = 'none'
             "
         >
             Show Answer
@@ -989,13 +989,13 @@ <h2>Problem #180</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-093d2788-595f-4ace-914b-31fa9e13675d" style="display: none"><span class="math">\(\Theta(n^4 \log n)\)</span></span>
-    <span id="button-093d2788-595f-4ace-914b-31fa9e13675d">
+    <span id="answer-2d823789-ce89-49a1-a541-10e0b34a4963" style="display: none"><span class="math">\(\Theta(n^4 \log n)\)</span></span>
+    <span id="button-2d823789-ce89-49a1-a541-10e0b34a4963">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-093d2788-595f-4ace-914b-31fa9e13675d').style.display = 'inline-block';
-                document.getElementById('button-093d2788-595f-4ace-914b-31fa9e13675d').style.display = 'none'
+                document.getElementById('answer-2d823789-ce89-49a1-a541-10e0b34a4963').style.display = 'inline-block';
+                document.getElementById('button-2d823789-ce89-49a1-a541-10e0b34a4963').style.display = 'none'
             "
         >
             Show Answer
@@ -1031,13 +1031,13 @@ <h2>Problem #186</h2>
 <p>What is the asymptotic time complexity of <span class="inline-code"><code>boo</code></span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-f60bfc8c-9a8d-4580-af65-25d481b7af7f" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-f60bfc8c-9a8d-4580-af65-25d481b7af7f">
+    <span id="answer-e34320bd-613a-4eb9-b3dd-a2917b156aa8" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-e34320bd-613a-4eb9-b3dd-a2917b156aa8">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f60bfc8c-9a8d-4580-af65-25d481b7af7f').style.display = 'inline-block';
-                document.getElementById('button-f60bfc8c-9a8d-4580-af65-25d481b7af7f').style.display = 'none'
+                document.getElementById('answer-e34320bd-613a-4eb9-b3dd-a2917b156aa8').style.display = 'inline-block';
+                document.getElementById('button-e34320bd-613a-4eb9-b3dd-a2917b156aa8').style.display = 'none'
             "
         >
             Show Answer
@@ -1066,13 +1066,13 @@ <h2>Problem #188</h2>
 <p>Suppose a collection of unique numbers is stored in a <b>balanced</b> binary search tree, and that each node in the tree has been given a <span class="inline-code"><code>.size</code></span> attribute which contains the number of nodes in the subtree rooted at that node. What is the time complexity required of an efficient algorithm for computing the number of elements in the collection which are larger than some threshold, <span class="math">\(t\)</span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-a6118bef-dfad-4de2-ad94-c6985afdad74" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
-    <span id="button-a6118bef-dfad-4de2-ad94-c6985afdad74">
+    <span id="answer-3aec806e-eaf4-4256-8769-5b255f8e6fec" style="display: none"><span class="math">\(\Theta(\log n)\)</span></span>
+    <span id="button-3aec806e-eaf4-4256-8769-5b255f8e6fec">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-a6118bef-dfad-4de2-ad94-c6985afdad74').style.display = 'inline-block';
-                document.getElementById('button-a6118bef-dfad-4de2-ad94-c6985afdad74').style.display = 'none'
+                document.getElementById('answer-3aec806e-eaf4-4256-8769-5b255f8e6fec').style.display = 'inline-block';
+                document.getElementById('button-3aec806e-eaf4-4256-8769-5b255f8e6fec').style.display = 'none'
             "
         >
             Show Answer
@@ -1105,13 +1105,13 @@ <h2>Problem #189</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-f3d612b6-52f8-4fca-aeca-8bc683e3dad1" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-f3d612b6-52f8-4fca-aeca-8bc683e3dad1">
+    <span id="answer-36bf723b-e436-42c7-b0d2-70792541ec03" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-36bf723b-e436-42c7-b0d2-70792541ec03">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-f3d612b6-52f8-4fca-aeca-8bc683e3dad1').style.display = 'inline-block';
-                document.getElementById('button-f3d612b6-52f8-4fca-aeca-8bc683e3dad1').style.display = 'none'
+                document.getElementById('answer-36bf723b-e436-42c7-b0d2-70792541ec03').style.display = 'inline-block';
+                document.getElementById('button-36bf723b-e436-42c7-b0d2-70792541ec03').style.display = 'none'
             "
         >
             Show Answer
@@ -1143,13 +1143,13 @@ <h2>Problem #190</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-7e0c0237-1b9a-4813-8651-b72c6f333e02" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-7e0c0237-1b9a-4813-8651-b72c6f333e02">
+    <span id="answer-9d103c8a-ad2d-4293-822c-4e8ed82be378" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-9d103c8a-ad2d-4293-822c-4e8ed82be378">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-7e0c0237-1b9a-4813-8651-b72c6f333e02').style.display = 'inline-block';
-                document.getElementById('button-7e0c0237-1b9a-4813-8651-b72c6f333e02').style.display = 'none'
+                document.getElementById('answer-9d103c8a-ad2d-4293-822c-4e8ed82be378').style.display = 'inline-block';
+                document.getElementById('button-9d103c8a-ad2d-4293-822c-4e8ed82be378').style.display = 'none'
             "
         >
             Show Answer
@@ -1183,13 +1183,13 @@ <h2>Problem #192</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-3ac78b41-0f16-4956-8e80-84c8c83b816a" style="display: none"><span class="math">\(\Theta(n\log n)\)</span></span>
-    <span id="button-3ac78b41-0f16-4956-8e80-84c8c83b816a">
+    <span id="answer-9a533cfe-66d8-4299-808d-1e95f5106341" style="display: none"><span class="math">\(\Theta(n\log n)\)</span></span>
+    <span id="button-9a533cfe-66d8-4299-808d-1e95f5106341">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-3ac78b41-0f16-4956-8e80-84c8c83b816a').style.display = 'inline-block';
-                document.getElementById('button-3ac78b41-0f16-4956-8e80-84c8c83b816a').style.display = 'none'
+                document.getElementById('answer-9a533cfe-66d8-4299-808d-1e95f5106341').style.display = 'inline-block';
+                document.getElementById('button-9a533cfe-66d8-4299-808d-1e95f5106341').style.display = 'none'
             "
         >
             Show Answer
@@ -1213,13 +1213,13 @@ <h2>Problem #194</h2>
 <p>Suppose a collection of <span class="math">\(n\)</span> numbers is stored in a balanced binary search tree. What is the time complexity required of an efficient algorithm to calculate the mean of the collection? State your answer as a function of <span class="math">\(n\)</span> in asymptotic notation.</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-c00288d8-8273-452f-a988-fc45a52985af" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
-    <span id="button-c00288d8-8273-452f-a988-fc45a52985af">
+    <span id="answer-a19e4f11-d31f-40bd-9ca4-56de18ed4034" style="display: none"><span class="math">\(\Theta(n)\)</span></span>
+    <span id="button-a19e4f11-d31f-40bd-9ca4-56de18ed4034">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-c00288d8-8273-452f-a988-fc45a52985af').style.display = 'inline-block';
-                document.getElementById('button-c00288d8-8273-452f-a988-fc45a52985af').style.display = 'none'
+                document.getElementById('answer-a19e4f11-d31f-40bd-9ca4-56de18ed4034').style.display = 'inline-block';
+                document.getElementById('button-a19e4f11-d31f-40bd-9ca4-56de18ed4034').style.display = 'none'
             "
         >
             Show Answer
@@ -1259,14 +1259,14 @@ <h2>Problem #200</h2>
 
 <p>
         <span class="inline-response-box">
-            <span id="answer-7ce3d80a-16aa-457d-94ca-c1c117b80678" style="display: none"><span class="math">\(\Theta(n^2)\)</span>
+            <span id="answer-3f41ec32-4542-4d08-9ed2-df5ebc9f20b4" style="display: none"><span class="math">\(\Theta(n^2)\)</span>
 .</span>
-            <span id="button-7ce3d80a-16aa-457d-94ca-c1c117b80678">
+            <span id="button-3f41ec32-4542-4d08-9ed2-df5ebc9f20b4">
                 <button
                     type="button"
                     onclick="
-                        document.getElementById('answer-7ce3d80a-16aa-457d-94ca-c1c117b80678').style.display = 'inline-block';
-                        document.getElementById('button-7ce3d80a-16aa-457d-94ca-c1c117b80678').style.display = 'none'
+                        document.getElementById('answer-3f41ec32-4542-4d08-9ed2-df5ebc9f20b4').style.display = 'inline-block';
+                        document.getElementById('button-3f41ec32-4542-4d08-9ed2-df5ebc9f20b4').style.display = 'none'
                     "
                 >
                     Show Answer
@@ -1301,13 +1301,13 @@ <h2>Problem #203</h2>
 
 <p>
 <span class="inline-response-box">
-    <span id="answer-13e592b6-a29a-4e69-ad08-feb4bb3abd1e" style="display: none"><span class="math">\(\Theta(n^5)\)</span></span>
-    <span id="button-13e592b6-a29a-4e69-ad08-feb4bb3abd1e">
+    <span id="answer-862ada3a-bdfe-4cce-8919-452b884cdc2f" style="display: none"><span class="math">\(\Theta(n^5)\)</span></span>
+    <span id="button-862ada3a-bdfe-4cce-8919-452b884cdc2f">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-13e592b6-a29a-4e69-ad08-feb4bb3abd1e').style.display = 'inline-block';
-                document.getElementById('button-13e592b6-a29a-4e69-ad08-feb4bb3abd1e').style.display = 'none'
+                document.getElementById('answer-862ada3a-bdfe-4cce-8919-452b884cdc2f').style.display = 'inline-block';
+                document.getElementById('button-862ada3a-bdfe-4cce-8919-452b884cdc2f').style.display = 'none'
             "
         >
             Show Answer
@@ -1344,13 +1344,13 @@ <h2>Problem #206</h2>
 <p>What is the asymptotic time complexity of <span class="inline-code"><code>foo</code></span>?</p>
 <p>
 <span class="inline-response-box">
-    <span id="answer-84d526eb-dbe9-4537-86e7-83890176c32a" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
-    <span id="button-84d526eb-dbe9-4537-86e7-83890176c32a">
+    <span id="answer-52bbbcc5-d3eb-4330-9a2a-ee581676e529" style="display: none"><span class="math">\(\Theta(n^2)\)</span></span>
+    <span id="button-52bbbcc5-d3eb-4330-9a2a-ee581676e529">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-84d526eb-dbe9-4537-86e7-83890176c32a').style.display = 'inline-block';
-                document.getElementById('button-84d526eb-dbe9-4537-86e7-83890176c32a').style.display = 'none'
+                document.getElementById('answer-52bbbcc5-d3eb-4330-9a2a-ee581676e529').style.display = 'inline-block';
+                document.getElementById('button-52bbbcc5-d3eb-4330-9a2a-ee581676e529').style.display = 'none'
             "
         >
             Show Answer
diff --git a/practice/tags/topological sorting.html b/practice/tags/topological sorting.html
index c978880..a630f28 100644
--- a/practice/tags/topological sorting.html	
+++ b/practice/tags/topological sorting.html	
@@ -161,13 +161,13 @@ <h2>Problem #220</h2>
 <center><div class="image"><img src="../images/220/graph.png" /></div></center>
 <p>
 <span class="inline-response-box">
-    <span id="answer-aac80e80-35e2-4cba-b714-0599711ff3c3" style="display: none">d a b c e</span>
-    <span id="button-aac80e80-35e2-4cba-b714-0599711ff3c3">
+    <span id="answer-fdde12b3-a8a4-47c4-9169-ba6e8cb57e78" style="display: none">d a b c e</span>
+    <span id="button-fdde12b3-a8a4-47c4-9169-ba6e8cb57e78">
         <button
             type="button"
             onclick="
-                document.getElementById('answer-aac80e80-35e2-4cba-b714-0599711ff3c3').style.display = 'inline-block';
-                document.getElementById('button-aac80e80-35e2-4cba-b714-0599711ff3c3').style.display = 'none'
+                document.getElementById('answer-fdde12b3-a8a4-47c4-9169-ba6e8cb57e78').style.display = 'inline-block';
+                document.getElementById('button-fdde12b3-a8a4-47c4-9169-ba6e8cb57e78').style.display = 'none'
             "
         >
             Show Answer