The BJC.3x Subset Sum Starter File
Written by Dan Garcia <ddgarcia@cs.berkeley.edu>
CC-BY-NC-SA-4.0data:image/png;base64,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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]Detail: 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