L02 - CS0250 Set 2 1 Greedy heuristics 2 Divide and Conquer...

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Unformatted text preview: CS0250, Set 2 1. Greedy heuristics 2. Divide and Conquer 3. Dynamic programming Overview of some basic algorithms design techniques CS0250, Set 2 Greedy heuristics How to be greedy? – At every step, make the best move you can make. – Keep going until you’re done. Advantages – Don’t need to pay much effort at each step. – Usually find a solution very quickly. – The solutions are usually not bad. CS0250, Set 2 An example: Huffman codes (Ch16.3) Some definitions • In computer, we use bit-sequences to represent characters. Example: – Σ = {a,b,c,d}. – a 1, b 01, c 001, d 0001 • Encoding a sequence S of characters by C: – aabaacda 11011100100011 • We call this representation a code for encoding the set of characters {a, b, c, d} CS0250, Set 2 An example: Huffman codes (Ch16.3) Some definitions • In computer, we use bit-sequences to represent characters. Example: – Σ = {a,b,c,d}. – a 1, b 01, c 001, d 0001 • Encoding a sequence S of characters by C: – a abaacda 1 1011100100011 • We call this representation a code for encoding the set of characters {a, b, c, d} CS0250, Set 2 An example: Huffman codes (Ch16.3) Some definitions • In computer, we use bit-sequences to represent characters. Example: – Σ = {a,b,c,d}. – a 1, b 01, c 001, d 0001 • Encoding a sequence S of characters by C: – a a baacda 1 1 011100100011 • We call this representation a code for encoding the set of characters {a, b, c, d} CS0250, Set 2 An example: Huffman codes (Ch16.3) Some definitions • In computer, we use bit-sequences to represent characters. Example: – Σ = {a,b,c,d}. – a 1, b 01, c 001, d 0001 • Encoding a sequence S of characters by C: – aa b aacda 11 01 1100100011 • We call this representation a code for encoding the set of characters {a, b, c, d} CS0250, Set 2 An example: Huffman codes (Ch16.3) Some definitions • In computer, we use bit-sequences to represent characters. Example: – Σ = {a,b,c,d}. – a 1, b 01, c 001, d 0001 • Encoding a sequence S of characters by C: – aab a acda 1101 1 100100011 • We call this representation a code for encoding the set of characters {a, b, c, d} CS0250, Set 2 An example: Huffman codes (Ch16.3) Some definitions • In computer, we use bit-sequences to represent characters....
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L02 - CS0250 Set 2 1 Greedy heuristics 2 Divide and Conquer...

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