Compsci 06/101, Spring 2011 4.1 Compsci 6: PFTW Problem solving and (Python) programming What are the steps in solving an APT? How do you get better at this? How do you avoid getting frustrated? Cope with it? Practice selection, abstraction, looping In the context of solving problems El hombre bebe Get ready for first assignment Difference between assignment and APTs? Compsci 06/101, Spring 2011 4.2 How to solve an APT Two very, very, very important steps 1. How to solve the problem with Paper, Pencil, (Calculator) 2. How to translate problem-solving to Python Both steps can be hard, vocabulary and language are initially a real barrier The more experience you have with Python, the easier step 2 will get The more you understand the idioms and power of the language the more you can let step 2 influence step 1 Step 1 is key, without it you won’t get anywhere Compsci 06/101, Spring 2011 4.3 APT Pancake How do you solve this problem? First steps: are there simple cases that can be solved immediately? • What are these for the pancake problem? • How will you identify with Python? Sometimes it helps to know if you are on track, use Python to check your paper and pencil work Get specific, solve for 7, not N Fix one parameter, vary the other Identify the cases and continue Compsci 06/101, Spring 2011 4.4 Three pancakes in a two-cake pan… Number of cakes in the system First 5 minutes Number of cakes in the system Second 5 minutes ABCB'ACCompsci 06/101, Spring 2011 4.5 Three pancakes in a two-cake pan… Number of cakes in the system Third 5 minutes How many minutes to cook all three pancakes? A'C'B''A'' B'' C''Compsci 06/101, Spring 2011 4.6 How to teach pancake flipping http://www.youtube.com/watch?v=W_gxLKSsSIE Is this computer science? For longer, more complex robotic tasks • http://www.youtube.com/watch?v=4usoE981e7I Back to specifics: Capacity = 7 Numcakes = 1,2,…7? Numcakes = 8,9,10,11,12,13,14? Numcakes = 15,16,17,18,19,20? Is seven special? 6? 5? 3? Compsci 06/101, Spring 2011 4.7 Eclipse Interlude Finishing the Pancake problem Translating problem-solving ideas to code Compsci 06/101, Spring 2011 4.8 Lessons: special cases, abstractions There are special cases in many, many problems Identifying them is important Abstracting them away when possible is important Example: SilverDistance APT • Instead of four quadrants/cases, reducible to two? • Instead of (x,y) and (z,w) translate to (0,0) and (z-x,w-y) Translating ideas into (Python) code How do we create interesting “heads”, “totem poles” ? How do create software for identikit? How do we create Facebook, Foursquare, …Compsci 06/101, Spring 2011 4.9 How do you solve a problem like …? Translating English to Piglatin Why is this fascinating? http://www.google.com/webhp?hl=xx-piglatin Is this like translating English to German? Is it like translating Python to bytecode? “downplay their unique quiet strength” “ownplayday eirthay uniqueway ietquay engthstray” What are the rules for pig-latin? See APT Compsci 06/101, Spring 2011 4.10 APT Piglatin How do you solve this problem? First steps: are there simple cases that can be solved immediately? • What are these for the piglatin problem? • How will you identify with Python? Words that begin with … • Vowel • Foods that begin with the letter ‘q’ for 200 Alex Translation to Python First ‘q’, then vowels Compsci 06/101, Spring 2011 4.11 Three versions of is_vowel def is_vowel(ch): if ch =='e': return True if ch == 'a': return True if ch == 'i': return True if ch == 'o': return True if ch == 'u': return True return False def is_vowel(ch): c = "aeiou".count(ch) if c > 0: return True else return False def is_vowel(ch): return "aeiou".count(ch) > 0 Compsci 06/101, Spring 2011 4.12 Piglatin, age-stay one-way def convert(s): if s[0] == 'q': return s[2:]+"quay" if is_vowel(s[0]): return s+"way" Review from last lab: slicing, concatenation, index Where does string-indexing start? What does slice with a single parameter do?Compsci 06/101, Spring 2011 4.13 Piglatin, age-stay o-tway def convert(s): if s[0] == 'q': return s[2:]+"quay" if is_vowel(s[0]): return s+"way" if is_vowel(s[1]): return s[1:]+s[0]+"ay" if is_vowel(s[2]): return s[2:]+s[:2]+"ay" if is_vowel(s[3]): return s[3:]+s[:3]+"ay" if is_vowel(s[4]): return s[4:]+s[:4]+"ay" Compsci 06/101, Spring 2011 4.14 Piglatin, age-stay ee-threay def convert(s): if s[0] == 'q': return s[2:]+"quay" if isvowel(s[0]): return s + "way" for index in range(1,len(s)): if isvowel(s[index]): return s[index:]+s[:index]+"ay" Generalize/parameterize by what varies What does a loop do? it repeats! Compsci 06/101, Spring 2011 4.15 What does this do? def changeup(s): rep = "" for ch in s: rep = rep + ch*2 return rep What's new here, what's similar to what we know? What does it mean to loop over a string? How do we know it's a string? Code experiments to help reason (or just type and run?) Look again at Uppity.py? Compsci 06/101, Spring 2011 4.16 Dawson Engler ACM Hopper Award 2008 "In his papers on automated program checking, Dawson Engler introduces and develops powerful techniques and tools for practical program analysis for finding errors in code." Started coverity.com Very successful startup to find errors in code
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