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#SetsU = {0,1,2,3,4,5,6,7,8,9}P = {1,2,3,4}Q = {4,5,6}R = {3,4,6,8,9}def set2bits(xs,us) :bs=[]for x in us :if x in xs :bs.append(1)else:bs.append(0)assert len(us) == len(bs)return bsdef union(set1,set2) :finalSet = set()bitList1 = set2bits(set1, U)bitList2 = set2bits(set2, U)for i in range(len(U)) :if(bitList1[i] or bitList2[i]) :finalSet.add(i)return finalSetdef intersection(set1,set2) :finalSet = set()bitList1 = set2bits(set1, U)bitList2 = set2bits(set2, U)for i in range(len(U)) :if(bitList1[i] and bitList2[i]) :finalSet.add(i)return finalSetdef compliment(set1) :finalSet = set()bitList = set2bits(set1, U)for i in range(len(U)) :if(not bitList[i]) :finalSet.add(i)return finalSetdef implication(a,b):return union(compliment(a), b)################################################################################################################# Problems 1-6 ###################################################################################################################################p \/ (q /\ r) = (p \/ q) /\ (p \/ r)def prob1():return union(P, intersection(Q,R)) == intersection(union(P,Q), union(P,R))#p /\ (q \/ r) = (p /\ q) \/ (p /\ r)def prob2():return intersection(P, union(Q,R)) == union(intersection(P,Q), intersection(P,R))#~(p /\ q) = ~p \/ ~qdef prob3():return compliment(intersection(P,R)) == union(compliment(P), compliment(R))#~(p \/ q) = ~p /\ ~qdef prob4():return compliment(union(P,Q)) == intersection(compliment(P), compliment(Q))#(p=>q) = (~q => ~p)def prob5():return implication(P,Q) == implication(compliment(Q), compliment(P))#(p => q) /\ (q => r) => (p => r)def prob6():return implication(intersection(implication(P,Q), implication(Q,R)), implication(P,R))print("Problem 1: ", prob1())print("Problem 2: ", prob2())print("Problem 3: ", prob3())print("Problem 4: ", prob4())print("Problem 5: ", prob5())print("Problem 6: ", prob6())'''Problem 1: TrueProblem 2: TrueProblem 3: TrueProblem 4: TrueProblem 5: TrueProblem 6: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}'''
filename = "data.txt"with open(filename, "r") as file:file_contents = file.readlines()file_contents = [line.strip() for line in file_contents]print("File contents:")for line in file_contents:print(line)
import randomclass Node:def __init__(self, c):self.left = Noneself.right = Noneself.color = cdef SetColor(self,c) :self.color = cdef PrintNode(self) :print(self.color)def insert(s, root, i, n):if i < n:temp = Node(s[i])root = temproot.left = insert(s, root.left,2 * i + 1, n)root.right = insert(s, root.right,2 * i + 2, n)return rootdef MakeTree(s) :list = insert(s,None,0,len(s))return listdef MakeSet() :s = []count = random.randint(7,12)for _ in range(count) :color = random.randint(0,1) == 0 and "Red" or "White"s.append(color)return sdef ChangeColor(root) :if (root != None) :if (root.color == "White") :root.SetColor("Red")ChangeColor(root.left)ChangeColor(root.right)def PrintList(root) :if root.left != None :PrintList(root.left)else :root.PrintNode()if root.right != None :PrintList(root.right)else :root.PrintNode()t1 = MakeTree(MakeSet())print("Original Colors For Tree 1:\n")PrintList(t1)ChangeColor(t1)print("New Colors For Tree 1:\n")PrintList(t1)t2 = MakeTree(MakeSet())print("Original Colors For Tree 2:\n")PrintList(t2)ChangeColor(t2)print("New Colors For Tree 2:\n")PrintList(t2)t3 = MakeTree(MakeSet())print("Original Colors For Tree 3:\n")PrintList(t3)ChangeColor(t3)print("New Colors For Tree 3:\n")PrintList(t3)
import copybegining = [False,False,False,False,False,None,True,True,True,True,True]#False = black True = whiteits = [0]def swap(layout, step):layoutCopy = copy.deepcopy(layout)layoutCopy[(step[0]+step[1])], layoutCopy[step[1]] = layoutCopy[step[1]], layoutCopy[(step[0]+step[1])]return layoutCopydef isSolved(layout):for i in range(len(layout)):if(layout[i] == False):return (i >= (len(layout)/2))def recurse(layout, its, steps = []):if isSolved(layout):its[0] += 1print(layout,list(x[0] for x in steps))returnstep = Nonefor i in range(len(layout)):if(layout[i] == None):if(i >= 1): #If the empty space could have something to the leftif(layout[i - 1] == False):step = [-1,i]recurse(swap(layout,step), its, (steps+[step]))if(i > 1): #If the empty space could have something 2 to the leftif(layout[i - 2] == False):step = [-2,i]recurse(swap(layout,step), its, (steps+[step]))if(i < (len(layout)-1)): #If the empty space could have something to the rightif(layout[i + 1] == True):step = [1,i]recurse(swap(layout,step), its, (steps+[step]))if(i < (len(layout)-2)): #If the empty space could have something to the rightif(layout[i + 2] == True):step = [2,i]recurse(swap(layout,step), its, (steps+[step]))its[0] += 1#return Nonerecurse(begining,its,[])print(its[0])
primes=[]products=[]def prime(num):if num > 1:for i in range(2,num):if (num % i) == 0:return Falseelse:primes.append(num)return Truefor n in range(30,1000):if len(primes) >= 20:break;else:prime(n)for previous, current in zip(primes[::2], primes[1::2]):products.append(previous * current)print (products)
class Solution(object):def floodFill(self, image, sr, sc, newColor):R, C = len(image), len(image[0])color = image[sr][sc]if color == newColor: return imagedef dfs(r, c):if image[r][c] == color:image[r][c] = newColorif r >= 1: dfs(r-1, c)if r+1 < R: dfs(r+1, c)if c >= 1: dfs(r, c-1)if c+1 < C: dfs(r, c+1)dfs(sr, sc)return image