The BJC.3x Subset Sum Starter File
Written by Dan Garcia <ddgarcia@cs.berkeley.edu>
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data:image/png;base64,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 by Firstname Lastname on 01/27/20
Written by Dan Garcia <ddgarcia@cs.berkeley.edu> CC-BY-NC-SA-4.0
1920 HW1 Subset Sum (starter file)
Week 4: Global Impact III Homework: Caesar Cipher and Subset Sum Subset SumHint for writing the Subset Sum Solution block
One of the interesting properties of subsets is that, for a set of N elements, there are 2N subsets.
So, you can think of every element in a subset as a light switch, and every subset has that light turned on (meaning it'd be included in that subset) or off (meaning it'd be excluded from that subset).
How could we generate all the subsets?
Hmm, what if we looked at the binary number representation of numbers from 1 to 2N-1!
If we lined up each binary digit to be right under an element of the original set, when the binary number was 1, that element would be included, and when it was 0, it would not be included.
We start the count at 1 because if we started at 0, it would mean NO elements would be included, and the solution requires at least one number from the original set in the solution.
It's like we were masking the original data with the binary numbers, but oh goodness if we only had a block to give us a power of 2, another to convert a number to its binary representation and return that as a list, and another to do the masking itself.For the masking, note that the map block (by default) takes a one-argument (monadic) function and a single list. By clicking on the right arrow, it can also take two lists (of equal length) and a two-argument (dyadic) function. (In general, N lists of equal length, and a N-input function) So if you wanted to add two lists together, element by element, you could simply do the following. Good luck!Subset Sum Solution BJC.3x homework. Complete the blocks below so that the code above works.Takes a text string as input, and reports a new text string containing all but the first character of the input.resulti2Takes a text string as input, divides it into words treating one or more spaces as a word separator (only spaces count; punctuation is part of the word) and reports a text string containing all but the first word, with one space between words and no spaces at the beginning or end. (Note: consider using SENTENCE->LIST and processing the resulting list instead of doing recursion on sentences in text string form. List operations are faster.)Takes a text string as input, and reports a new text string containing all but the last letter of the input.resulti1Takes a text string as input, divides it into words treating one or more spaces as a word separator (only spaces count; punctuation is part of the word) and reports a text string containing all but the last word, with one space between words and no spaces at the beginning or end. (Note: consider using SENTENCE->LIST and processing the resulting list instead of doing recursion on sentences in text string form. List operations are faster.)11111Takes a text string as input, divides it into words treating one or more spaces as a word separator (only spaces count; punctuation is part of the word) and reports a text string containing only the first word, with no spaces before or after it.Takes a text string as input, and reports the last character in the string.Takes a text string as input, divides it into words treating one or more spaces as a word separator (only spaces count; punctuation is part of the word) and reports a text string containing only the last word of the input, with no spaces before or after it.11Takes a text string as input, and reports TRUE if the string has no characters in it of any kind, otherwise false.Takes a text string as input, and reports TRUE if the input contains no characters other than spaces (therefore, no words when the string is considered as a sentence), otherwise FALSE.255000.30.70.61342b) Convert an integer to its binary representation, zero-pad it to have D digits, and store each bit as a different element in a list. The "endianness" doesn't matter -- that is, the ones bit in the binary representation can be in list element 1 or list element D.
REQUIRES: D be at least as big as the number of digits in the binary representation of the number
E.g., (13)->binary-list-padded-to(5)digits → [1,0,1,1,0] or [0,1,1,0,1]
E.g., (13)->binary-list-padded-to(4)digits → [1,0,1,1] or [1,1,0,1]create script variables binaryList
set to binaryList to (list)
repeat D times
[add (((N) mod (2) )) to (binaryList)]
set N to (floor of (N/2))
report (binaryList)Detail: [map ( () x () ) over () () ]2c) Binary List Mask is just like a number mask but with a binary list and a regular number list.
A "mask" is a way to zero-out the numbers where there's a 0, and keep the numbers where there's a 1.
The term used in computer architecture and graphic design (which often allows the mask to have numbers other than 0 and 1, for semi-transparent pixels).
REQUIRES: the two lists be the same length, the first contain only 1s and 0s, and the second contain only numbers.
E.g., Binary-List-Mask([1,0,1])with([3,4,5]) → [3,0,5]index10Detail: create script variable subSet
if ( (data) contains (0) )
report ( list(0) )
for index = (1) to ( 2^ ( ( length of () ) ) )
set subSet to [ keep items such that {not ( () = (0)} from { Binary List Mask (data) with ( { (index) binary list padded to (length of (data)) digits} ) } ]
if ( {combine with ((null) + (null)) items of (subSet)} = (0) )
report (subSet)
report (list)2d) Solve the subset sum problem.
That is, given a list of numbers, return a subset of those numbers that add to zero. (if none, return an empty list.
If there is more than one subset, return any of them.
E.g., Subset-Sum-Solution([-2,-3,15,14,7,-10]) → [-2,-3,15,-10]
E.g., Subset-Sum-Solution([-2,-3,16,14,7,-10]) → []
E.g., Subset-Sum-Solution([-2,-3,0,14,7,-10]) → [0]42a) Input is a non-negative integer, the output is 2 to the power of the input.
E.g., 2^(4) → 16LABEL will stamp text on the stage at the given font size. The direction of the text is the direction the sprite is facing, and color will match the pen color.Hello!121datamapmany1data lists11110i121cont3catchtagcontcatchtagSpriteSprite