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Exam (elaborations)
CS 6515 EXAM QUESTIONS WITH CORRECT ANSWERS LATEST UPDATE 2026
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---6March 20262025/2026A+
- CS 6515 EXAM QUESTIONS WITH CORRECT ANSWERS LATEST UPDATE 2026 
 
LIS Sub-problem - Answers Let L(i) = Length of LIS in a[1],..., a[i] which includes a[i] 
LIS Recurrence - Answers Base Case: L[0] = 0 
L(i) = 1 + max(j) { L(j): a[j] < a[i] & j < i} 
LIS Analysis 
1) # of Sub-problems 
2) Running time to fill 
3) Extraction 
4) Running time to extract - Answers 1) n 
2) O(n^2) 
3) max(L) 
4) O(n) 
LCS Sub-problem - Answers for i & j where 0 <= i <= n & 0 <= j <= m: 
Let L(i,j) =...
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$11.49 More Info
TutorJosh
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Exam (elaborations)
CS 6515 EXAM 1 PREP QUESTIONS WITH CORRECT ANSWERS LATEST UPDATE 2026
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---5March 20262025/2026A+
- CS 6515 EXAM 1 PREP QUESTIONS WITH CORRECT ANSWERS LATEST UPDATE 2026 
 
Knapsack without repetition - Answers k(0) = 0 
for w = 1 to W: 
 if w_j >w: k(w,j) = k(w, j - 1) 
 else: K(w,j) = max{K(w, j -1),K(w - w_j, j -1) + v_i} 
knapsack with repetition - Answers knapsack repeat(w_i....w_n, w_i... w_n, B) 
k(0) = 0 
for i = 1 to n 
 if w_i <= b & k(b) <v_i + K(b-w_i) 
 then k(b) = v_i + K(b-w_i) 
Longest Increasing Subsequence - Answers LIS(a_1.... a_n) 
for i = 1 to n 
 L(i) = 1 
 for j...
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$11.49 More Info
TutorJosh
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Exam (elaborations)
CS 6515 EXAM 2 QUESTIONS WITH CORRECT ANSWERS LATEST UPDATE 2026
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---5March 20262025/2026A+
- CS 6515 EXAM 2 QUESTIONS WITH CORRECT ANSWERS LATEST UPDATE 2026 
 
Basic Properties of Trees - Answers Tree's are undirected, connected and acyclic that connect all nodes. 
 
1. Tree on n vertices has (n-1) edges -> would have a cycle otherwise (more than n-1 edges means cycle) 
2. In tree exactly one path between every pair of vertices (otherwise it's not connected) 
- More than 1 path implies cycle 
- less than 1 path implies not connected 
3. Any connected G(V, E) with |E| = |V| - 1...
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$11.49 More Info
TutorJosh
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Exam (elaborations)
CS 6515 Exam 2 Questions with Correct Answers Latest Update 2025/2026
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---11December 20252025/2026A+
- CS 6515 Exam 2 Questions with Correct Answers Latest Update 2025/2026 
Basic Properties of Trees - Answers Tree's are undirected, connected and acyclic that connect 
all nodes. 
1. Tree on n vertices has (n-1) edges -> would have a cycle otherwise (more than n-1 edges 
means cycle) 
2. In tree exactly one path between every pair of vertices (otherwise it's not connected) 
- More than 1 path implies cycle 
- less than 1 path implies not connected 
3. Any connected G(V, E) with |E| = |V| ...
-
$11.49 More Info
joshuawesonga22