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An Example in Python Programming Languages Fall 2003

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Scramble Sort The scramble sort problem deals with a list of mixed integers and strings. The scramble sort problem deals with a list of mixed integers and strings. The integers are to be sorted in order The integers are to be sorted in order The strings are to be sorted in order The strings are to be sorted in order With the constraint that integers appear where integers were in the original list, and strings appear where strings appeared in the original list. With the constraint that integers appear where integers were in the original list, and strings appear where strings appeared in the original list.

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Setting Up The Data >>> list = [1,10,'abc','hello',3, 'car', 0, 'aardvark'] >>> list = [1,10,'abc','hello',3, 'car', 0, 'aardvark'] >>> list >>> list [1, 10, 'abc', 'hello', 3, 'car', 0, 'aardvark'] [1, 10, 'abc', 'hello', 3, 'car', 0, 'aardvark'] >>> len (list) >>> len (list) 8

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Defining The Sort Function >>> def sort(l): >>> def sort(l):... for j in range(0,len(l)):... for j in range(0,len(l)):... for k in range(j+1,len(l)):... for k in range(j+1,len(l)):... if (type(l[j])==type(l[k])) and (l[j]>l[k]):... if (type(l[j])==type(l[k])) and (l[j]>l[k]):... t=l[k]... t=l[k]... l[k]=l[j]... l[k]=l[j]... l[j]=t... l[j]=t... return sort(l)... return sort(l)... return l... return l......

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Running the function >>> sort (list) >>> sort (list) [0, 1, 'aardvark', 'abc', 3, 'car', 10, 'hello'] [0, 1, 'aardvark', 'abc', 3, 'car', 10, 'hello'] >>> >>>

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Another Problem, Digital Roots Given a (possibly very long) decimal number Given a (possibly very long) decimal number Sum up all the digits Sum up all the digits Repeat the process until the result is less than 10 Repeat the process until the result is less than 10 This result is the digital root This result is the digital root

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Observation This is equivalent to casting out 9’s This is equivalent to casting out 9’s The result is the number mod 9, except that we get 9 instead of 0 for non-zero input. The result is the number mod 9, except that we get 9 instead of 0 for non-zero input. Easy in Python because we can handle large numbers directly Easy in Python because we can handle large numbers directly

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Set Up The Data >>> num = 123 ** 123 >>> num = 123 ** 123 >>> num >>> num 114374367934617190099880295228066276746 218078451850229775887975052369504785666 446606568365201542169649974727730628842 345343196581134895919942820874449837299 476648958359023796078549041949007807220 625356526926729664064846685758382803100 766740220839267L 114374367934617190099880295228066276746 218078451850229775887975052369504785666 446606568365201542169649974727730628842 345343196581134895919942820874449837299 476648958359023796078549041949007807220 625356526926729664064846685758382803100 766740220839267L >>> >>>

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Define The Function >>> def digital(n): >>> def digital(n):... if n==0:... if n==0:... return 0;... return 0;... if n%9==0:... if n%9==0:... return 9;... return 9;... return n%9;... return n%9;......

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Some Examples of Digital Roots >>> digital(0) >>> digital(0) 0 >>> digital(18) >>> digital(18) 9 >>> digital (num) >>> digital (num) 9 >>> num=num+7*9999-3 >>> num=num+7*9999-3 >>> digital(num) >>> digital(num) 6L 6L

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Note on Input-Output For simplicity, I have omitted input output details here For simplicity, I have omitted input output details here But when you do the problem, you should indeed handle the input and output formatting as specified in the problem But when you do the problem, you should indeed handle the input and output formatting as specified in the problem That’s only fair in comparing Python with other languages That’s only fair in comparing Python with other languages

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The root word of rational is ratio.

The root word of rational is ratio.

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