Final Assignment, need help with!
ENGR-131Name : _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Spring 2020 first last Your Magic Number is where is the number of letters in your first name and is the number of letters in your second name. Record it here before you start. M = _ _ _ _ Instructions: Complete each of the five questions. Work must be your own. No collaboration allowed. Due Date: PDF must be uploaded by Tuesday June9 before 11:59PM 1. Numerical Exploration: Primes, Semiprimes and Palindromes Here are two free methods to use in your solution. import math def is_prime(n): if n<2: return="" 0="" for="" d="" in="" range(2,="" round(math.sqrt(n))="" +="" 1):="" if="" not="" n="" %="" d:="" return="" 0="" return="" 1="" def="" is_palindrome(n):="" if="" n="">< 0:="" return="" 0="" #="" don’t="" check="" negative="" numbers="" forward_string="str(n)" backward_string="forward_string[::-1]" return="" forward_string="=" backward_string="" a.="" generate="" a="" sorted="" list="" p1="" of="" all="" the="" primes="" up="" to="" m,="" your="" magic="" number.="" p1="[2," 3,="" 5,="" …]="" how="" many="" primes="" are="" in="" your="" list="" p1?="" ans:="" _="" _="" _="" b.="" a="" semiprime="" (or="" biprime)="" is="" a="" positive="" integer="" n="" than="" can="" be="" written="" as="" the="" product="" of="" two="" primes,="" so="" where="" and="" are="" both="" primes.="" the="" two="" primes="" can="" be="" the="" same,="" so="" the="" first="" semiprime="" is="" 4.="" using="" a="" set="" comprehension="" generate="" all="" the="" semiprimes="" p2="" less="" than="" or="" equal="" to="" m.="" tip:="" easiest="" with="" two="" for="" loops="" and="" one="" filter="" (if="" statement)="" in="" your="" initial="" set="" comprehension.="" then="" convert="" the="" set="" to="" a="" list="" using="" list()="" and="" sort="" it.="" how="" many="" semiprimes="" are="" in="" your="" list="" p2?="" ans:="" _="" _="" _="" c.="" hypothesis:="" every="" positive="" integer="" n="" is="" the="" sum="" of="" a="" prime="" and="" a="" semiprime,="" so="" we="" can="" write="" where="" ,="" and="" are="" all="" primes.="" this="" can't="" quite="" be="" true="" since="" the="" smallest="" prime="" is="" 2="" and="" the="" smallest="" semiprime="" is="" 4,="" so="" we="" must="" exclude="" all="" numbers="" less="" than="" 6.="" list="" any="" additional="" numbers="" that="" cannot="" be="" represented="" in="" this="" form="" checking="" all="" the="" way="" up="" to="" m.="" the="" exceptions="" are:="" 1,="" 2,="" 3,="" 4,="" 5="" and="" _="" _="" _="" _="" _="" _="" _="" _="" d.="" find="" all="" the="" three-digit,="" palindromic="" semiprimes.="" how="" many="" are="" there?="" _="" _="" _="" _="" _="" e.="" find="" all="" the="" four-digit,="" palindromic="" semiprimes.="" how="" many="" are="" there?="" _="" _="" _="" _="" _="" 2.="" files="" and="" searching="" files="" download="" the="" text="" file="" named="" baskervilles.txt="" which="" contains="" the="" complete="" test="" for="" arthur="" conan="" doyle's="" "the="" hound="" of="" the="" baskervilles".="" file="" was="" obtained="" from="" project="" gutenberg.="" a.="" we="" are="" going="" to="" study="" the="" words="" in="" this="" document.="" but="" first,="" complete="" this="" method="" which="" given="" a="" word,="" converts="" the="" word="" to="" all="" upper="" case="" and="" tosses="" away="" any="" characters="" that="" are="" not="" alphabetical.="" however,="" do="" include="" any="" dashes!="" "-"="" these="" may="" occur="" in="" hyphenated="" words.="" the="" method="" returns="" the="" cleaned-up="" word.="" must="" use="" a="" single="" if="" statement="" and="" the="" keyword="" or.="" examples:="" cat's="" cats,="" forget-me-not="" forget-me-not="" def="" clean_up(word):="" w="" for="" char="" in="" word.upper():="" return="" w="" b.="" create="" an="" empty="" dictionary="" named="" d.="" open="" your="" text="" file="" and="" using="" nested="" for="" loops="" read="" in="" every="" line="" and="" word="" in="" the="" file.="" the="" split()="" command="" will="" help="" convert="" a="" line="" to="" a="" list="" of="" words.="" clean="" up="" each="" word="" (as="" you="" find="" it)="" and="" name="" it="" word.="" add="" each="" word="" to="" the="" dictionary="" d,="" being="" sure="" to="" update="" the="" value="" to="" keep="" count="" of="" the="" number="" of="" occurrences.="" the="" get()="" method="" may="" help.="" alert:="" this="" process="" may="" have="" created="" the="" empty="" word="" ''.="" delete="" that="" from="" your="" dictionary="" using="" del.="" your="" magic="" letter="" is="" the="" first="" letter="" in="" your="" first="" name="" (in="" caps).="" my="" magic="" letter="" is:="" ____="" c.="" find="" the="" 3-letter="" word="" that="" starts="" with="" your="" magic="" letter="" and="" has="" the="" greatest="" frequency.="" if="" there="" are="" none,="" then="" allow="" more="" than="" 3="" letters.="" __="" __="" __="" d.="" how="" many="" words="" start="" with="" your="" magic="" letter="" and="" only="" appear="" once="" in="" the="" story?="" __="" __="" __="" e.="" how="" many="" words="" appear="" 100="" or="" more="" times="" in="" the="" story?="" __="" __="" __="" 3.="" read="" and="" plot="" simulated="" data="" provided="" in="" a="" csv="" file.="" a.="" choose="" your="" datafile.="" if="" your="" last="" name="" starts="" with="" a-g="" you="" must="" choose="" data1.csv="" if="" your="" last="" name="" starts="" with="" h-o="" you="" must="" choose="" data2.csv="" if="" your="" last="" name="" starts="" with="" p-s="" you="" must="" choose="" data3.csv="" if="" your="" last="" name="" starts="" with="" t-z="" you="" must="" choose="" data4.csv="" i="" am="" using="" the="" data="" file="" numbered="" :="" ____="" each="" data="" file="" contains="" two="" columns="" of="" data.="" the="" first="" column="" is="" the="" time="" t="" in="" minutes.="" the="" second="" column="" is="" the="" intensify="" of="" a="" function="" that="" seems="" to="" fit="" a="" biexponential="" curve.="" alert:="" there="" is="" a="" header="" row!="" a.="" using="" csv.reader(),="" read="" in="" all="" the="" data.="" be="" sure="" to="" skip="" the="" header="" row.="" append="" all="" the="" time="" values="" to="" a="" list="" named="" time.="" append="" all="" the="" y-values="" to="" a="" list="" named="" y.="" print="" out="" the="" sum="" of="" the="" y-values.="" _="" _="" _="" _="" _="" _="" _="" _="" _="" _="" b.="" find="" the="" biggest="" y-value.="" biggest="" y="" is:="" _="" _="" _="" _="" _="" _="" _="" _="" _="" _="" c.="" complete="" this="" method="" to="" automatically="" find="" the="" point="" with="" the="" maximum="" y-value.="" you="" should="" already="" have="" two="" lists="" named="" time="" and="" y.="" tmax,="" ymax="0," 0="" #="" stub="" values="" for="" n="" in="" range(len(time)):="" #="" get="" the="" next="" time="" and="" y="" values="" #="" test="" if="" this="" y="" is="" bigger="" than="" ymax="" (so="" far)="" and="" update="" d.="" using="" matplotlib,="" create="" a="" plot="" of="" your="" data="" points.="" show="" each="" point="" as="" a="" circle="" with="" a="" blue="" outline="" and="" filled="" with="" yellow.="" e.="" add="" the="" title="" "biexponential="" data".="" fill="" in="" the="" maximum="" point="" in="" red="" and="" make="" it="" a="" little="" larger="" than="" the="" other="" data="" points.="" paste="" your="" completed="" plot="" to="" the="" right.="" 4.="" curve-fitting="" your="" data="" with="" a="" biexponential="" your="" data="" from="" the="" previous="" exercise="" is="" exactly="" fitted="" by="" a="" biexponential="" curve="" of="" the="" form:="" a.="" you="" should="" already="" have="" two="" lists="" named="" time="" and="" y="" containing="" the="" 101="" data="" points="" from="" the="" previous="" exercise.="" be="" sure="" to="" complete="" that="" exercise="" before="" attempting="" this="" one.="" write="" the="" code="" to="" import="" curve_fit="" from="" the="" scipy="" module="" and="" also="" import="" numpy="" and="" give="" it="" the="" shorter="" name="" np.="" b.="" complete="" the="" method="" f(t,*p)="" so="" it="" returns="" the="" value="" of="" the="" biexponential="" function="" at="" time="" t:="" must="" use="" the="" numpy="" module="" for="" the="" exponential="" function,="" and="" not="" the="" math="" module.="" def="" f(t,="" *p):="" c.="" complete="" this="" single="" line="" by="" calling="" curve_fit="" to="" return="" the="" optimal="" parameters="" popt="" and="" the="" covariance="" pcov="" for="" these="" parameters.="" the="" data="" points="" are="" in="" the="" lists="" named="" time="" and="" y="" containing.="" explicitly="" provide="" a="" guess="" for="" p0.="" popt,="" pcov="d." record="" the="" best-fit="" parameters="" for="" your="" data="" here.="_" _="" _="" _="_" _="" _="" _="_" _="" _="" _="_" _="" _="" _="" hint:="" all="" four="" parameters="" will="" be="" integers,="" and="" some="" are="" negative.="" you="" will="" need="" to="" try="" other="" initial="" guesses="" than="" p0="[1," 1,="" 1,="" 1]="" if="" this="" default="" guess="" does="" not="" produce="" an="" exact="" integer="" fit="" with="" a="" covariance="" matrix="" with="" all="" elements="" equal="" to="" zero.="" 5.="" a="" class="" of="" animals!="" (5="" points)="" after="" reading="" through="" chapter="" 11,="" you="" should="" be="" easily="" able="" to="" complete="" this="" problem.="" animals="" need="" food.="" let's="" create="" a="" dictionary="" describing="" the="" available="" food="" items="" and="" their="" nutritional="" value.="" import="" random="" food_value="{}" #="" dictionary="" of="" food="" items="" and="" their="" life-energy="" value="" plants="{"grass":1," "weeds":1,="" "carrots":4,="" "lettuce":2,="" "nut":5}="" meat="{"hot" dog":10,="" "steak":20,="" "fish":15,="" "burger":15}="" 1.="" the="" dictionary="" named="" food_value="" is="" currently="" empty.="" add="" some="" code="" so="" it="" holds="" the="" values="" for="" all="" the="" plants="" and="" meats.="" must="" not="" use="" any="" :'s="" in="" your="" answer.="" ok="" to="" use="" two="" statements.="" each="" animal="" has="" a="" name="" and="" a="" life_energy.="" the="" animal="" will="" die="" if="" its="" life="" energy="" falls="" to="" zero.="" class="" animal(object):="" def="" __init__(self,="" name="None," life_energy="10):" self.name="name;" self.life_energy="life_energy" 2.="" complete="" the="" eat()="" method,="" which="" is="" inside="" the="" class="" body.="" when="" the="" food="" item="" is="" eaten,="" the="" animal's="" life_energy="" is="" increased="" by="" the="" amount="" recorded="" in="" the="" dictionary="" food_value.="" def="" eat(self,="" food):="" #="" an="" animal="" can="" eat="" food.increase="" its="" life_energy.="" 3.="" complete="" the="" is_alive()="" method,="" which="" is="" inside="" the="" class="" body.="" an="" animal="" is="" only="" alive="" provided="" its="" life_energy=""> 0. Must not use an if statement. Go directly to the return statement. def is_alive(self): # Is the animal still alive? Finding food requires some effort or cost. This method decreases the animal's life_energy when it exerts an effort. Given for free. The max command keeps the life-energy from becoming negative. Given for free. # decreases the life_energy by the cost of an effort. def work(self, cost): self.life_energy = max(0, self.life_energy - cost) if __name__ == "__main__": # Demo of the Animal class Enter your magic number from Question 1 M = _ _ _ _ random.seed(M) # 4. Construct a goat named "Billy" and give Billy 50 life units. goat = In the for loop below, your goat Billy goes searching for food once each day of the week. This always costs him 10 life_energy units for the effort. Each day he encounters one random item of food, gaining its life energy but costing ten units for the effort