prime_lists=[] # a list to store the prime numbers

def prime(n): # define prime numbers
    if n <= 1:
        return False
    # divide n by 2... up to n-1
    for i in range(2, n):
        if n % i == 0:  # the remainder should'nt be a 0
            return False
    else:
        prime_lists.append(n)
        return True



for n in range(30,1000):  # calling function and passing starting point =30 coz we need primes >30
    prime(n)

check=0 # a var to limit the output  to 10 only
for n in prime_lists:
    for x in prime_lists:
        val=  n *x
        if (val > 1000 ):
            check=check +1
        if (check <10) :
            print("the num is:", val , "=",n , "* ", x )
        break

from itertools import product
V='∀'
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==y

tt(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==y

tt(prob2,3)

#~(p/\q)=(~p\/~q)

def prob3(p,q) :
  x=not (p and q)
  y=(not p) or (not q)
  return x==y
tt(prob3,2)

#(~(p\/q))=((~p)/\~q)

def prob4(p, q):
   x = not(p or q)
   y = not p and not q
   return x == y

tt(prob4, 2)

#(p/\(p=>q)=>q)

def prob5(p,q):
  x= p and ( not p or q)
  return not x or q
    
tt(prob5,2)

# (p=>q)=((p\/q)=q)

def prob6(p,q) :
  x = (not p or q)
  y=((p or q) == q)
  return x==y
 
tt(prob6,2)


#((p=>q)=(p\/q))=q
def prob7(p,q):
  if ((not p or q)==(p or q))==q:
    return 1
 
tt(prob7,2)



#(p=>q)=((p/\q)=p)
def prob8(p,q):
  if (not p or q)==((p and q)==p):
    return 1
 
tt(prob8,2)


#((p=>q)=(p/\q))=p

def 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 x
 
tt(prob10, 3)


# (p = q) /\ (q => r)  => (p => r)
#answer 1
def prob11(p,q,r) :
  x = not((p is q) and (not q or r)) or (not p or r)
  return x
 
tt(prob11, 3)

#(p=q)/\(q=>r)=>(p=>r)
#answer 2
def prob11(p,q,r):
  x=(p==q) and (not q or r)
  y=not p or r
  return not x or y

tt(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 r
  return not x or y

tt(prob12,3)

#(p=>q)=>((p/\r)=>(q/\r))

def prob13(p,q,r):
  x=not p or q
  y=(not(p and r) or ( q and r))
  return not x or y

tt(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==y

tt(prob14,3) 


def prob15(p, q):
    x = not(p and q)
    y = not p and not q
    return x == y

tt(prob15, 2)


def prob16(p, q):
    x = not(p or q)
    y = not p or not q
    return x == y

tt(prob16, 2)



def prob17(p):
    x = p
    y = not p
    return x == y

tt(prob17, 1)

import subprocess   #for the praat calls
import os   #for ffmpeg and the pause call at the end
#Even if we wanted all videos being rendered asynchronously, we couldn't see progress or errors
import glob #for the ambiguous files
import tempfile
audioFileDirectory = 'Audio Files'
timeList = {}
fileList = glob.glob(audioFileDirectory + '\\*.wav')
pipeList = {}
for fileName in fileList:
    arglist = ['Praat.exe', '--run', 'crosscorrelateMatch.praat', 'zeussound.wav', fileName, "0" , "300"]
    print(' '.join(arglist))
    pipe = subprocess.Popen(arglist, stdout=subprocess.PIPE)
    pipeList[fileName[len(audioFileDirectory)+1:-4]] = pipe #+1 because of back slash, -4 because .wav
#for fileName, pipe in pipeList.items():
#    text = pipe.communicate()[0].decode('utf-8')
#    timeList[fileName] = float(text[::2])
for fileName, pipe in pipeList.items():
    if float(pipe.communicate()[0].decode('utf-8')[::2]) > .0003:    #.000166 is not a match, and .00073 is a perfect match. .00053 is a tested match
        arglist = ['Praat.exe', '--run', 'crosscorrelate.praat', 'zeussound.wav', audioFileDirectory + '\\' + fileName + '.wav', "0" , "300"]
        print(' '.join(arglist))
        text = subprocess.Popen(arglist, stdout=subprocess.PIPE).communicate()[0].decode('utf-8')
        timeList[fileName] = float(text[::2])
clipLength = 10
for fileName, time in timeList.items():
    arglist = ['ffmpeg', '-i', '"'+fileName+'.mp4"', '-ss', str(time-clipLength), '-t', str(clipLength*2), '-acodec', 'copy' , '-vcodec', 'copy', '"ZEUS'+ fileName + '.mp4"']
    print(' '.join(arglist))
    os.system(' '.join(arglist))
tempFile = tempfile.NamedTemporaryFile(delete=False)
for fileName in glob.glob('ZEUS*.mp4'):
    tempFile.write(("file '" + os.path.realpath(fileName) + "'\n").encode());
tempFile.seek(0)
print(tempFile.read())
tempFile.close()
arglist = ['ffmpeg', '-safe', '0', '-f', 'concat', '-i', '"'+tempFile.name+'"', '-c', 'copy', 'ZeusMontage.mp4']
print(' '.join(arglist))
os.system(' '.join(arglist))
os.unlink(tempFile.name)    #Delete the temp file
#print(timeList)
os.system('PAUSE')

def hex_to_rgb(hex):
  return tuple(int(hex[i:i+2], 16) for i in (0, 2, 4))

hex_to_rgb('FFA501') # (255, 165, 1)

#question1.py
def rose(n) :
  if n==0 : 
    yield []
  else :
    for k in range(0,n) :    
      for l in rose(k) :
        for r in rose(n-1-k) :      
            yield [l]+[r]+[r]
            
def start(n) :
  for x in rose(n) : 
      print(x) #basically I am printing x for each rose(n) file


print("starting program: \n")
start(2) # here is where I call the start function

# Function to multiply two matrices
def multiply_matrices(matrix1, matrix2):
    # Check if the matrices can be multiplied
    if len(matrix1[0]) != len(matrix2):
        print("Error: The number of columns in the first matrix must be equal to the number of rows in the second matrix.")
        return None

    # Create the result matrix filled with zeros
    result = [[0 for _ in range(len(matrix2[0]))] for _ in range(len(matrix1))]

    # Perform matrix multiplication
    for i in range(len(matrix1)):
        for j in range(len(matrix2[0])):
            for k in range(len(matrix2)):
                result[i][j] += matrix1[i][k] * matrix2[k][j]

    return result

# Example matrices
matrix1 = [[1, 2, 3],
           [4, 5, 6],
           [7, 8, 9]]

matrix2 = [[10, 11],
           [12, 13],
           [14, 15]]

# Multiply the matrices
result_matrix = multiply_matrices(matrix1, matrix2)

# Display the result
if result_matrix is not None:
    print("Result:")
    for row in result_matrix:
        print(row)