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# question3.pyfrom itertools import productV='∀'E='∃'def tt(f,n) :xss=product((0,1),repeat=n)print('function:',f.__name__)for xs in xss : print(*xs,':',int(f(*xs)))print('')# this is the logic for part A (p\/q\/r) /\ (p\/q\/~r) /\ (p\/~q\/r) /\ (p\/~q\/~r) /\ (~p\/q\/r) /\ (~p\/q\/~r) /\ (~p\/~q\/r) /\ (~p\/~q\/~r)def parta(p,q,r) :a=(p or q or r) and (p or q or not r) and (p or not q or r)and (p or not q or not r)b=(not p or q or r ) and (not p or q or not r) and (not p or not q or r) and (not p or not q or not r)c= a and breturn cdef partb(p,q,r) :a=(p or q and r) and (p or not q or not r) and (p or not q or not r)and (p or q or not r)b=(not p or q or r ) and (not p or q or not r) and (not p or not q or r) and (not p or not q or not r)c= a and breturn cprint("part A:")tt(parta,3)print("part B:")tt(partb,3)
def generate_pascals_triangle(num_rows):triangle = []for row in range(num_rows):# Initialize the row with 1current_row = [1]# Calculate the values for the current rowif row > 0:previous_row = triangle[row - 1]for i in range(len(previous_row) - 1):current_row.append(previous_row[i] + previous_row[i + 1])# Append 1 at the end of the rowcurrent_row.append(1)# Add the current row to the triangletriangle.append(current_row)return triangledef display_pascals_triangle(triangle):for row in triangle:for number in row:print(number, end=" ")print()# Prompt the user for the number of rowsnum_rows = int(input("Enter the number of rows for Pascal's Triangle: "))# Generate Pascal's Trianglepascals_triangle = generate_pascals_triangle(num_rows)# Display Pascal's Triangledisplay_pascals_triangle(pascals_triangle)
def print_pyramid_pattern(n):# outer loop to handle number of rows# n in this casefor i in range(0, n):# inner loop to handle number of columns# values changing acc. to outer loopfor j in range(0, i+1):# printing starsprint("* ",end="")# ending line after each rowprint("\r")print_pyramid_pattern(10)
from itertools import productV='∀'E='∃'def tt(f,n) :xss=product((0,1),repeat=n)print('function:',f.__name__)for xs in xss : print(*xs,':',int(f(*xs)))print('')# p \/ (q /\ r) = (p \/ q) /\ (p \/ r)def prob1(p,q,r) :x=p or (q and r)y= (p or q) and (p or r)return x==ytt(prob1,3)# p/\(q\/r)=(p/\q)\/(p/\r)def prob2(p,q,r) :x=p and ( q or r )y=(p and q) or (p and r)return x==ytt(prob2,3)#~(p/\q)=(~p\/~q)def prob3(p,q) :x=not (p and q)y=(not p) or (not q)return x==ytt(prob3,2)#(~(p\/q))=((~p)/\~q)def prob4(p, q):x = not(p or q)y = not p and not qreturn x == ytt(prob4, 2)#(p/\(p=>q)=>q)def prob5(p,q):x= p and ( not p or q)return not x or qtt(prob5,2)# (p=>q)=((p\/q)=q)def prob6(p,q) :x = (not p or q)y=((p or q) == q)return x==ytt(prob6,2)#((p=>q)=(p\/q))=qdef prob7(p,q):if ((not p or q)==(p or q))==q:return 1tt(prob7,2)#(p=>q)=((p/\q)=p)def prob8(p,q):if (not p or q)==((p and q)==p):return 1tt(prob8,2)#((p=>q)=(p/\q))=pdef prob9(p,q):if ((not p or q)==(p and q))==p:return '1'tt(prob9,2)#(p=>q)/\(q=>r)=>(p=>r)def prob10(p,q,r) :x = not ((not p or q) and (not q or r)) or (not p or r)return xtt(prob10, 3)# (p = q) /\ (q => r) => (p => r)#answer 1def prob11(p,q,r) :x = not((p is q) and (not q or r)) or (not p or r)return xtt(prob11, 3)#(p=q)/\(q=>r)=>(p=>r)#answer 2def prob11(p,q,r):x=(p==q) and (not q or r)y=not p or rreturn not x or ytt(prob11,3)#((p=>q)/\(q=r))=>(p=>r)def prob12(p,q,r):x=(not p or q) and ( q==r )y=not p or rreturn not x or ytt(prob12,3)#(p=>q)=>((p/\r)=>(q/\r))def prob13(p,q,r):x=not p or qy=(not(p and r) or ( q and r))return not x or ytt(prob13,3)#Question#2----------------------------------------#(p=>q)=>r=p=>(q=>r)def prob14(p,q,r):x=(not(not p or q) or r)y=(not p or (not q or r))return x==ytt(prob14,3)def prob15(p, q):x = not(p and q)y = not p and not qreturn x == ytt(prob15, 2)def prob16(p, q):x = not(p or q)y = not p or not qreturn x == ytt(prob16, 2)def prob17(p):x = py = not preturn x == ytt(prob17, 1)
import random# Define the ranks, suits, and create a deckranks = ['Ace', '2', '3', '4', '5', '6', '7', '8', '9', '10', 'Jack', 'Queen', 'King']suits = ['Hearts', 'Diamonds', 'Clubs', 'Spades']deck = [(rank, suit) for rank in ranks for suit in suits]# Shuffle the deckrandom.shuffle(deck)# Display the shuffled deckfor card in deck:print(card[0], "of", card[1])
from time import sleepdef delay(fn, ms, *args):sleep(ms / 1000)return fn(*args)delay(lambda x: print(x), 1000, 'later') # prints 'later' after one second