data:image/png;base64,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data:image/png;base64,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Updated by Grant Weber on 02/23/2020
1920 U8L1p3 Writing Recursive Reporters (starter file)
Week 11: Recursion II > Unit 8 Lab 1: Recursive Reporters > Writing Recursive ReportersThe factorial function, n!. is defined to be the product of integers from 1 to n.
1.0 The value of 9! is 362,880. Find the value of 10!.
2.0 Describe the relationship between 37! and 36!.
3.0 Use these ideas to build a factorial block using a recursive reporter.4.0 The phrase "in the course of human events" has 24 letters. How many letters are there in the phrase "When in the course of human events"?5.0 Recursion always needs a base case to stop the script from calling itself forever. What sort of base case might we use for this situation?
6.0 Create a letter count block that takes a list of words as input and reports the total number of letters in all the words. The all but first of block may be useful, but there is more than one way to do this.7.0 Create your own version of the join words block. This block inputs a list and outputs a string sentence, with spaces:8.0 Build this plurals block, then describe how it works. (You've already built a simpler version of plurals using map; we want you to see that the same problem can be solved in multiple ways.)8.1.3.4: The count of letters does not include the spaces between words. So if "in the ... events" has 24 letters, then "WHEN in the ... events" has 4+24=28, since "When" has four.8.1.3.5: One possible answer is that the number of lettes in a one-word sentence is the number of letters in the word. But a more elegant answer is that an empty sentence contains zero letters. Either of these can be used to write the code.LABEL 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 lists11110i121cont3catchtagcontcatchtagSpriteSpriteThis could equally well be called FACTORIAL (n)EMPTY? is in the Tools library.Design:
if n is empty?(sentence) then
report zero
else
report ( (length of (item 1 of (sentence))) + (recursive (all but first of (sentence))) )Design:
if length of(sentence) = 1 then
report item 1 of (sentence)
else
report ( join (item 1 of (sentence) ) ( ") (recursive (all but first of (sentence))) )