#! /usr/bin/python
#
"""
Problem: Please write a function in Python that takes an 8x8 grid of letters and a list of words and returns the longest word from the list (ignoring case) that can be produced from the grid using the following procedure:
1. Start at any position in the grid, and use the letter at that position as the first letter in the candidate word.
2. Move to a position in the grid that would be a valid move for a knight in a game of chess, and add the letter at that position to the candidate word.
3. Repeat step 2 any number of times.
For example, if the list of words is ["algol", "fortran", "simula"] and the grid is:
1 2 3 4 5 6 7 8
1 Q W E R T N U I
2 O P A A D F G H
3 T K L Z X C V B
4 N M R W F R T Y
5 U I O P A S D F
6 G H J O L Z X C
7 V B N M Q W E R
8 T Y U I O P A S
...then the longest word from the list that can be produced using the rules is “fortran”, by starting at the ‘F’ at position (5, 4), and moving to (4, 6), then (3, 4), (1, 3), back to (3, 4) and then (4, 2) and finally (6,1). Again, note that the match is case-insensitive, and that grid positions can be reused.
Create a list of words found in Shakespeare’s early comedy, Love’s Labour’s Lost (text available at http://s...content-available-to-author-only...t.edu/lll/full.html). Make sure to remove punctuation and ignore case when generating the word list. What is the output of your function using this word list on the grid below?
H A R R Y H A T
P A T T E R N S
Q I H A C I Q T
L F U N U R X B
B W D I L A T V
O S S Y N A C K
Q W O P M T C P
K I P A C K E T
"""
class Game:
def __init__ ( self ) :
self .width = 8
self .height = 8
self .Matrix = [ [ 'A' for x in range ( self .width ) ] for y in range ( self .height ) ]
"""
creates
1 2 3 4 5 6 7 8
1 Q W E R T N U I
2 O P A A D F G H
3 T K L Z X C V B
4 N M R W F R T Y
5 U I O P A S D F
6 G H J O L Z X C
7 V B N M Q W E R
8 T Y U I O P A S
"""
self .Matrix [ 0 ] [ 0 ] = 'Q'
self .Matrix [ 0 ] [ 1 ] = 'W'
self .Matrix [ 0 ] [ 2 ] = 'E'
self .Matrix [ 0 ] [ 3 ] = 'R'
self .Matrix [ 0 ] [ 4 ] = 'T'
self .Matrix [ 0 ] [ 5 ] = 'N'
self .Matrix [ 0 ] [ 6 ] = 'U'
self .Matrix [ 0 ] [ 7 ] = 'I'
self .Matrix [ 1 ] [ 0 ] = 'O'
self .Matrix [ 1 ] [ 1 ] = 'P'
self .Matrix [ 1 ] [ 2 ] = 'A'
self .Matrix [ 1 ] [ 3 ] = 'A'
self .Matrix [ 1 ] [ 4 ] = 'D'
self .Matrix [ 1 ] [ 5 ] = 'F'
self .Matrix [ 1 ] [ 6 ] = 'G'
self .Matrix [ 1 ] [ 7 ] = 'H'
self .Matrix [ 2 ] [ 0 ] = 'T'
self .Matrix [ 2 ] [ 1 ] = 'K'
self .Matrix [ 2 ] [ 2 ] = 'L'
self .Matrix [ 2 ] [ 3 ] = 'Z'
self .Matrix [ 2 ] [ 4 ] = 'X'
self .Matrix [ 2 ] [ 5 ] = 'C'
self .Matrix [ 2 ] [ 6 ] = 'V'
self .Matrix [ 2 ] [ 7 ] = 'B'
self .Matrix [ 3 ] [ 0 ] = 'N'
self .Matrix [ 3 ] [ 1 ] = 'M'
self .Matrix [ 3 ] [ 2 ] = 'R'
self .Matrix [ 3 ] [ 3 ] = 'W'
self .Matrix [ 3 ] [ 4 ] = 'F'
self .Matrix [ 3 ] [ 5 ] = 'R'
self .Matrix [ 3 ] [ 6 ] = 'T'
self .Matrix [ 3 ] [ 7 ] = 'Y'
self .Matrix [ 4 ] [ 0 ] = 'U'
self .Matrix [ 4 ] [ 1 ] = 'I'
self .Matrix [ 4 ] [ 2 ] = 'O'
self .Matrix [ 4 ] [ 3 ] = 'P'
self .Matrix [ 4 ] [ 4 ] = 'A'
self .Matrix [ 4 ] [ 5 ] = 'S'
self .Matrix [ 4 ] [ 6 ] = 'D'
self .Matrix [ 4 ] [ 7 ] = 'F'
self .Matrix [ 5 ] [ 0 ] = 'G'
self .Matrix [ 5 ] [ 1 ] = 'H'
self .Matrix [ 5 ] [ 2 ] = 'J'
self .Matrix [ 5 ] [ 3 ] = 'O'
self .Matrix [ 5 ] [ 4 ] = 'L'
self .Matrix [ 5 ] [ 5 ] = 'Z'
self .Matrix [ 5 ] [ 6 ] = 'X'
self .Matrix [ 5 ] [ 7 ] = 'C'
self .Matrix [ 6 ] [ 0 ] = 'V'
self .Matrix [ 6 ] [ 1 ] = 'B'
self .Matrix [ 6 ] [ 2 ] = 'N'
self .Matrix [ 6 ] [ 3 ] = 'M'
self .Matrix [ 6 ] [ 4 ] = 'Q'
self .Matrix [ 6 ] [ 5 ] = 'W'
self .Matrix [ 6 ] [ 6 ] = 'E'
self .Matrix [ 6 ] [ 7 ] = 'R'
self .Matrix [ 7 ] [ 0 ] = 'T'
self .Matrix [ 7 ] [ 1 ] = 'Y'
self .Matrix [ 7 ] [ 2 ] = 'U'
self .Matrix [ 7 ] [ 3 ] = 'I'
self .Matrix [ 7 ] [ 4 ] = 'O'
self .Matrix [ 7 ] [ 5 ] = 'P'
self .Matrix [ 7 ] [ 6 ] = 'A'
self .Matrix [ 7 ] [ 7 ] = 'S'
def isInMatrix( self , i, j) :
return ( ( 0 <= i) and ( i< self .height ) and ( 0 <= j) and ( j< self .width ) )
def FindX( self , X) :
locations = [ ]
for i in range ( self .height ) :
for j in range ( self .width ) :
if self .Matrix [ i] [ j] == X:
locations.append ( ( i, j) )
return locations
def IsWordInMatrix( self , word, i, j, pos, path) :
id = [ -2 , -1 , 1 , 2 , 2 , 1 , -1 , -2 ]
jd = [ -1 , -2 , -2 , -1 , 1 , 2 , 2 , 1 ]
if pos + 1 == len ( word) :
return True
path.append ( ( i, j) )
#print('path='+repr(path)+'&X='+repr(word[pos]))
X = word[ pos + 1 ]
for k in range ( len ( id ) ) :
ni = i + id [ k]
nj = j + jd[ k]
location = ( ni, nj)
#path.append(location)
#print('path='+repr(path)+'&X='+repr(word[pos]))
if ( self .isInMatrix ( ni, nj) and self .Matrix [ ni] [ nj] == X ) : #and ((ni, nj) not in path)):
if ( self .IsWordInMatrix ( word, ni, nj, pos + 1 , path) ) :
return True
#path.remove(location)
return False
def HasWord( self , word) :
locations = self .FindX ( word[ 0 ] )
for tup in locations:
path = [ ]
pos = 0
if self .IsWordInMatrix ( word, tup[ 0 ] , tup[ 1 ] , pos, path) :
return True
return False
def test1( self ) :
g = Game( )
#print(repr(g.Matrix))
locations = g.FindX ( 'F' )
print ( repr ( locations) )
for tup in locations:
path = [ ]
pos = 0
#path.append(tup)
if g.IsWordInMatrix ( "FORTRAN" , tup[ 0 ] , tup[ 1 ] , pos, path) :
print ( repr ( path) )
else :
print ( "NOT FOUND" )
#path.remove(tup)
def test2( self ) :
g = Game( )
"""
0 1 2 3 4 5 6 7
0 H E N R Y H A T
1 P A T T E R N S
2 Q I H A C I Q T
3 L F U N U R X B
4 B W D I L A T V
5 O S S Y N A C K
6 Q W O P M T C P
7 K I P A C K E T
"""
g.Matrix [ 0 ] [ 0 ] = 'H'
g.Matrix [ 0 ] [ 1 ] = 'E'
g.Matrix [ 0 ] [ 2 ] = 'N'
g.Matrix [ 0 ] [ 3 ] = 'R'
g.Matrix [ 0 ] [ 4 ] = 'Y'
g.Matrix [ 0 ] [ 5 ] = 'H'
g.Matrix [ 0 ] [ 6 ] = 'A'
g.Matrix [ 0 ] [ 7 ] = 'T'
g.Matrix [ 1 ] [ 0 ] = 'P'
g.Matrix [ 1 ] [ 1 ] = 'A'
g.Matrix [ 1 ] [ 2 ] = 'T'
g.Matrix [ 1 ] [ 3 ] = 'T'
g.Matrix [ 1 ] [ 4 ] = 'E'
g.Matrix [ 1 ] [ 5 ] = 'R'
g.Matrix [ 1 ] [ 6 ] = 'N'
g.Matrix [ 1 ] [ 7 ] = 'S'
g.Matrix [ 2 ] [ 0 ] = 'Q'
g.Matrix [ 2 ] [ 1 ] = 'I'
g.Matrix [ 2 ] [ 2 ] = 'H'
g.Matrix [ 2 ] [ 3 ] = 'A'
g.Matrix [ 2 ] [ 4 ] = 'C'
g.Matrix [ 2 ] [ 5 ] = 'I'
g.Matrix [ 2 ] [ 6 ] = 'Q'
g.Matrix [ 2 ] [ 7 ] = 'T'
g.Matrix [ 3 ] [ 0 ] = 'L'
g.Matrix [ 3 ] [ 1 ] = 'F'
g.Matrix [ 3 ] [ 2 ] = 'U'
g.Matrix [ 3 ] [ 3 ] = 'N'
g.Matrix [ 3 ] [ 4 ] = 'U'
g.Matrix [ 3 ] [ 5 ] = 'R'
g.Matrix [ 3 ] [ 6 ] = 'X'
g.Matrix [ 3 ] [ 7 ] = 'B'
g.Matrix [ 4 ] [ 0 ] = 'B'
g.Matrix [ 4 ] [ 1 ] = 'W'
g.Matrix [ 4 ] [ 2 ] = 'D'
g.Matrix [ 4 ] [ 3 ] = 'I'
g.Matrix [ 4 ] [ 4 ] = 'L'
g.Matrix [ 4 ] [ 5 ] = 'A'
g.Matrix [ 4 ] [ 6 ] = 'T'
g.Matrix [ 4 ] [ 7 ] = 'V'
g.Matrix [ 5 ] [ 0 ] = 'O'
g.Matrix [ 5 ] [ 1 ] = 'S'
g.Matrix [ 5 ] [ 2 ] = 'S'
g.Matrix [ 5 ] [ 3 ] = 'Y'
g.Matrix [ 5 ] [ 4 ] = 'N'
g.Matrix [ 5 ] [ 5 ] = 'A'
g.Matrix [ 5 ] [ 6 ] = 'C'
g.Matrix [ 5 ] [ 7 ] = 'K'
g.Matrix [ 6 ] [ 0 ] = 'Q'
g.Matrix [ 6 ] [ 1 ] = 'W'
g.Matrix [ 6 ] [ 2 ] = 'O'
g.Matrix [ 6 ] [ 3 ] = 'P'
g.Matrix [ 6 ] [ 4 ] = 'M'
g.Matrix [ 6 ] [ 5 ] = 'T'
g.Matrix [ 6 ] [ 6 ] = 'C'
g.Matrix [ 6 ] [ 7 ] = 'P'
g.Matrix [ 7 ] [ 0 ] = 'K'
g.Matrix [ 7 ] [ 1 ] = 'I'
g.Matrix [ 7 ] [ 2 ] = 'P'
g.Matrix [ 7 ] [ 3 ] = 'A'
g.Matrix [ 7 ] [ 4 ] = 'C'
g.Matrix [ 7 ] [ 5 ] = 'K'
g.Matrix [ 7 ] [ 6 ] = 'E'
g.Matrix [ 7 ] [ 7 ] = 'T'
words = self .wordlist ( ) #["TOO", "TIN", "POT"]
output = [ ]
for word in words:
if g.HasWord ( word) :
output += [ word]
return output
pass
def extract( self , url) :
import urllib
from bs4 import BeautifulSoup
html = urllib .urlopen ( url) .read ( )
soup = BeautifulSoup( html, "html.parser" )
# kill all script and style elements
for script in soup( [ "script" , "style" ] ) :
script.extract ( ) # rip it out
# get text
text = soup.get_text ( )
# break into lines and remove leading and trailing space on each
lines = ( line.strip ( ) for line in text.splitlines ( ) )
# break multi-headlines into a line each
chunks = ( phrase.strip ( ) for line in lines for phrase in line.split ( " " ) )
# drop blank lines
text = '\n ' .join ( chunk for chunk in chunks if chunk )
return text
def wordlist( self ) :
url = 'http://s...content-available-to-author-only...t.edu/lll/full.html'
text = self .extract ( url)
text = text.replace ( "," , "" )
text = text.replace ( "?" , "" )
text = text.replace ( "!" , "" )
text = text.replace ( "'" , "" )
text = text.replace ( "`" , "" )
text = text.replace ( "." , "" )
text = text.replace ( "-" , "" )
text = text.replace ( "-" , "" )
text = text.replace ( ":" , "" )
text = text.replace ( "|" , "" )
text = text.replace ( "[" , "" )
text = text.replace ( "]" , "" )
text = text.upper ( )
words = [ str ( x) for x in text.split ( ) ]
words = list ( set ( words) )
return words
g = Game( )
print ( repr ( g.test2 ( ) ) )
"""
g = Game()
locations = g.FindX('F')
print(repr(locations))
for tup in locations:
path = []
pos = 0
if g.IsWordInMatrix("FORTRAN", tup[0], tup[1], pos, path):
print(repr(path))
else:
print("NOT FOUND")
[(1, 5), (3, 4), (4, 7)]
path=[(1, 5)]&X='F'
NOT FOUND
path=[(3, 4)]&X='F'
path=[(3, 4), (4, 2)]&X='O'
path=[(3, 4), (4, 2), (5, 3)]&X='O'
path=[(3, 4), (4, 2), (5, 3), (3, 2)]&X='R'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0)]&X='T'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2)]&X='R'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2), (4, 4)]&X='A'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2), (4, 4), (1, 3)]&X='A'
[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2), (4, 4), (1, 3)]
path=[(4, 7)]&X='F'
NOT FOUND
"""
"""
['MAY', 'NINTH', 'MAN', 'SIN', 'NON', 'NOW', 'V', 'FARE', 'LA', 'ONT', 'A', 'HEAT', 'CLUB', 'NINE', 'SAW', 'APT', 'TRIM', 'B', 'CAME', 'WONT', 'WHERE', 'SUCH', 'BUY', 'BUT', 'NAME', 'D', 'ON', 'WHICH', 'LAUS', 'OF', 'HE', 'SUB', 'RENT', 'FAR', 'EAT', 'PAP', 'LUTE', 'ME', 'INT', 'MI', 'INS', 'ANON', 'ERE', 'WOOD', 'RARE', 'DINE', 'ANNE', 'NIT', 'IMP', 'DO', 'MIRE', 'WAS', 'DID', 'AIR', 'I', 'IS', 'IT', 'IN', 'IF', 'NAY', 'E', 'SNAKE', 'NO', 'NE', 'WHEN', 'ISBUT', 'FIRE', 'SIR', 'SIT', 'RICH', 'KNOWN', 'CAP', 'CAN', 'MAKE', 'L', 'WOO', 'ET', 'ARE', 'BA', 'OFT', 'THIN', 'SAT', 'AND', 'ANT', 'HER', 'OWN', 'FAN', 'T', 'DART', 'DARE', 'FA', 'O', 'ACT', 'EQUAL', 'TH', 'TI', 'TE', 'AD', 'AM', 'AN', 'AS', 'AT', 'AY', 'MANS', 'LAY', 'KNOW', 'LINEN', 'HIS', 'HID', 'HIM', 'HIT', 'TRUTH', 'WON', 'HERE', 'BID', 'FIFTY', 'CONTINENT', 'FIFTH', 'THINE', 'WANT', 'RE', 'ART', 'ACUTE', 'TIS', 'UT', 'US', 'U', 'CUT', 'DAN', 'DAY', 'PLAY']
"""
#! /usr/bin/python
#
"""
Problem: Please write a function in Python that takes an 8x8 grid of letters and a list of words and returns the longest word from the list (ignoring case) that can be produced from the grid using the following procedure:

1.	Start at any position in the grid, and use the letter at that position as the first letter in the candidate word.
2.	Move to a position in the grid that would be a valid move for a knight in a game of chess, and add the letter at that position to the candidate word.
3.	Repeat step 2 any number of times.

For example, if the list of words is ["algol", "fortran", "simula"] and the grid is:

  1 2 3 4 5 6 7 8
1 Q W E R T N U I
2 O P A A D F G H
3 T K L Z X C V B
4 N M R W F R T Y
5 U I O P A S D F
6 G H J O L Z X C
7 V B N M Q W E R
8 T Y U I O P A S

...then the longest word from the list that can be produced using the rules is “fortran”, by starting at the ‘F’ at position (5, 4), and moving to (4, 6), then (3, 4), (1, 3), back to (3, 4) and then (4, 2) and finally (6,1). Again, note that the match is case-insensitive, and that grid positions can be reused.

Create a list of words found in Shakespeare’s early comedy, Love’s Labour’s Lost (text available at http://s...content-available-to-author-only...t.edu/lll/full.html). Make sure to remove punctuation and ignore case when generating the word list. What is the output of your function using this word list on the grid below?

        H A R R Y H A T
        P A T T E R N S
        Q I H A C I Q T
        L F U N U R X B
        B W D I L A T V
        O S S Y N A C K
        Q W O P M T C P
        K I P A C K E T


"""
class Game:
  def __init__(self):
    self.width = 8
    self.height = 8
    self.Matrix = [['A' for x in range(self.width)] for y in range(self.height)]
    """
    creates
      1 2 3 4 5 6 7 8
    1 Q W E R T N U I
    2 O P A A D F G H
    3 T K L Z X C V B
    4 N M R W F R T Y
    5 U I O P A S D F
    6 G H J O L Z X C
    7 V B N M Q W E R
    8 T Y U I O P A S
    """
    self.Matrix[0][0]= 'Q'
    self.Matrix[0][1]= 'W'
    self.Matrix[0][2]= 'E'
    self.Matrix[0][3]= 'R'
    self.Matrix[0][4]= 'T'
    self.Matrix[0][5]= 'N'
    self.Matrix[0][6]= 'U'
    self.Matrix[0][7]= 'I'

    self.Matrix[1][0]= 'O'
    self.Matrix[1][1]= 'P'
    self.Matrix[1][2]= 'A'
    self.Matrix[1][3]= 'A'
    self.Matrix[1][4]= 'D'
    self.Matrix[1][5]= 'F'
    self.Matrix[1][6]= 'G'
    self.Matrix[1][7]= 'H'

    self.Matrix[2][0]= 'T'
    self.Matrix[2][1]= 'K'
    self.Matrix[2][2]= 'L'
    self.Matrix[2][3]= 'Z'
    self.Matrix[2][4]= 'X'
    self.Matrix[2][5]= 'C'
    self.Matrix[2][6]= 'V'
    self.Matrix[2][7]= 'B'

    self.Matrix[3][0]= 'N'
    self.Matrix[3][1]= 'M'
    self.Matrix[3][2]= 'R'
    self.Matrix[3][3]= 'W'
    self.Matrix[3][4]= 'F'
    self.Matrix[3][5]= 'R'
    self.Matrix[3][6]= 'T'
    self.Matrix[3][7]= 'Y'

    self.Matrix[4][0]= 'U'
    self.Matrix[4][1]= 'I'
    self.Matrix[4][2]= 'O'
    self.Matrix[4][3]= 'P'
    self.Matrix[4][4]= 'A'
    self.Matrix[4][5]= 'S'
    self.Matrix[4][6]= 'D'
    self.Matrix[4][7]= 'F'

    self.Matrix[5][0]= 'G'
    self.Matrix[5][1]= 'H'
    self.Matrix[5][2]= 'J'
    self.Matrix[5][3]= 'O'
    self.Matrix[5][4]= 'L'
    self.Matrix[5][5]= 'Z'
    self.Matrix[5][6]= 'X'
    self.Matrix[5][7]= 'C'

    self.Matrix[6][0]= 'V'
    self.Matrix[6][1]= 'B'
    self.Matrix[6][2]= 'N'
    self.Matrix[6][3]= 'M'
    self.Matrix[6][4]= 'Q'
    self.Matrix[6][5]= 'W'
    self.Matrix[6][6]= 'E'
    self.Matrix[6][7]= 'R'

    self.Matrix[7][0]= 'T'
    self.Matrix[7][1]= 'Y'
    self.Matrix[7][2]= 'U'
    self.Matrix[7][3]= 'I'
    self.Matrix[7][4]= 'O'
    self.Matrix[7][5]= 'P'
    self.Matrix[7][6]= 'A'
    self.Matrix[7][7]= 'S'

  def isInMatrix(self, i,j):
      return ((0<=i) and (i<self.height) and (0<=j) and (j<self.width))

  def FindX(self, X):
      locations = []
      for i in range(self.height):
          for j in range(self.width):
              if self.Matrix[i][j] == X:
                 locations.append((i,j))
      return locations


  def IsWordInMatrix(self, word, i,j, pos, path):
      id = [ -2, -1,  1,  2, 2, 1, -1, -2 ]
      jd = [ -1, -2, -2, -1, 1, 2,  2,  1 ]
      if pos + 1 == len(word):
         return True
      path.append((i,j))
      #print('path='+repr(path)+'&X='+repr(word[pos]))
      X = word[pos + 1]
      for k in range(len(id)):
         ni = i + id[k]
         nj = j + jd[k]
         location = (ni,nj)
         #path.append(location)
         #print('path='+repr(path)+'&X='+repr(word[pos]))
         if (self.isInMatrix(ni, nj) and self.Matrix[ni][nj] == X ): #and ((ni, nj) not in path)):
             if (self.IsWordInMatrix(word, ni, nj, pos + 1 , path)):
                return True
         #path.remove(location)
      return False

  def HasWord(self, word):
      locations = self.FindX(word[0])
      for tup in locations:
          path = []
          pos = 0
          if self.IsWordInMatrix(word, tup[0], tup[1], pos, path):
             return True
      return False

  def test1(self):
      g = Game()
      #print(repr(g.Matrix))
      locations = g.FindX('F')
      print(repr(locations))
      for tup in locations:
          path = []
          pos  = 0
          #path.append(tup)
          if g.IsWordInMatrix("FORTRAN", tup[0], tup[1], pos, path):
             print(repr(path))
          else:
           print("NOT FOUND")
          #path.remove(tup)


  def test2(self):
      g = Game()
      """
      0 1 2 3 4 5 6 7
    0 H E N R Y H A T
    1 P A T T E R N S
    2 Q I H A C I Q T
    3 L F U N U R X B
    4 B W D I L A T V
    5 O S S Y N A C K
    6 Q W O P M T C P
    7 K I P A C K E T
      """
      g.Matrix[0][0]= 'H'
      g.Matrix[0][1]= 'E'
      g.Matrix[0][2]= 'N'
      g.Matrix[0][3]= 'R'
      g.Matrix[0][4]= 'Y'
      g.Matrix[0][5]= 'H'
      g.Matrix[0][6]= 'A'
      g.Matrix[0][7]= 'T'

      g.Matrix[1][0]= 'P'
      g.Matrix[1][1]= 'A'
      g.Matrix[1][2]= 'T'
      g.Matrix[1][3]= 'T'
      g.Matrix[1][4]= 'E'
      g.Matrix[1][5]= 'R'
      g.Matrix[1][6]= 'N'
      g.Matrix[1][7]= 'S'

      g.Matrix[2][0]= 'Q'
      g.Matrix[2][1]= 'I'
      g.Matrix[2][2]= 'H'
      g.Matrix[2][3]= 'A'
      g.Matrix[2][4]= 'C'
      g.Matrix[2][5]= 'I'
      g.Matrix[2][6]= 'Q'
      g.Matrix[2][7]= 'T'

      g.Matrix[3][0]= 'L'
      g.Matrix[3][1]= 'F'
      g.Matrix[3][2]= 'U'
      g.Matrix[3][3]= 'N'
      g.Matrix[3][4]= 'U'
      g.Matrix[3][5]= 'R'
      g.Matrix[3][6]= 'X'
      g.Matrix[3][7]= 'B'

      g.Matrix[4][0]= 'B'
      g.Matrix[4][1]= 'W'
      g.Matrix[4][2]= 'D'
      g.Matrix[4][3]= 'I'
      g.Matrix[4][4]= 'L'
      g.Matrix[4][5]= 'A'
      g.Matrix[4][6]= 'T'
      g.Matrix[4][7]= 'V'

      g.Matrix[5][0]= 'O'
      g.Matrix[5][1]= 'S'
      g.Matrix[5][2]= 'S'
      g.Matrix[5][3]= 'Y'
      g.Matrix[5][4]= 'N'
      g.Matrix[5][5]= 'A'
      g.Matrix[5][6]= 'C'
      g.Matrix[5][7]= 'K'

      g.Matrix[6][0]= 'Q'
      g.Matrix[6][1]= 'W'
      g.Matrix[6][2]= 'O'
      g.Matrix[6][3]= 'P'
      g.Matrix[6][4]= 'M'
      g.Matrix[6][5]= 'T'
      g.Matrix[6][6]= 'C'
      g.Matrix[6][7]= 'P'

      g.Matrix[7][0]= 'K'
      g.Matrix[7][1]= 'I'
      g.Matrix[7][2]= 'P'
      g.Matrix[7][3]= 'A'
      g.Matrix[7][4]= 'C'
      g.Matrix[7][5]= 'K'
      g.Matrix[7][6]= 'E'
      g.Matrix[7][7]= 'T'
      words = self.wordlist() #["TOO", "TIN", "POT"]
      output = []
      for word in words:
          if g.HasWord(word):
             output += [word]
      return output
      pass

  def extract(self, url):
      import urllib
      from bs4 import BeautifulSoup

      html = urllib.urlopen(url).read()
      soup = BeautifulSoup(html, "html.parser")

      # kill all script and style elements
      for script in soup(["script", "style"]):
          script.extract()    # rip it out

      # get text
      text = soup.get_text()

      # break into lines and remove leading and trailing space on each
      lines = (line.strip() for line in text.splitlines())
      # break multi-headlines into a line each
      chunks = (phrase.strip() for line in lines for phrase in line.split("  "))
      # drop blank lines
      text = '\n'.join(chunk for chunk in chunks if chunk)

      return text


  def wordlist(self):
      url = 'http://s...content-available-to-author-only...t.edu/lll/full.html'
      text = self.extract(url)
      text = text.replace(",","")
      text = text.replace("?","")
      text = text.replace("!","")
      text = text.replace("'","")
      text = text.replace("`","")
      text = text.replace(".","")
      text = text.replace("-","")
      text = text.replace("-","")
      text = text.replace(":","")
      text = text.replace("|","")
      text = text.replace("[","")
      text = text.replace("]","")
      text = text.upper()
      words = [str(x) for x in text.split()]
      words = list(set(words))
      return words
g = Game()
print(repr(g.test2()))
"""
g = Game()
locations = g.FindX('F')
print(repr(locations))
for tup in locations:
path = []
pos = 0
if g.IsWordInMatrix("FORTRAN", tup[0], tup[1], pos, path):
print(repr(path))
else:
print("NOT FOUND")
 
[(1, 5), (3, 4), (4, 7)]
path=[(1, 5)]&X='F'
NOT FOUND
path=[(3, 4)]&X='F'
path=[(3, 4), (4, 2)]&X='O'
path=[(3, 4), (4, 2), (5, 3)]&X='O'
path=[(3, 4), (4, 2), (5, 3), (3, 2)]&X='R'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0)]&X='T'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2)]&X='R'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2), (4, 4)]&X='A'
path=[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2), (4, 4), (1, 3)]&X='A'
[(3, 4), (4, 2), (5, 3), (3, 2), (2, 0), (3, 2), (4, 4), (1, 3)]
path=[(4, 7)]&X='F'
NOT FOUND
"""
"""
['MAY', 'NINTH', 'MAN', 'SIN', 'NON', 'NOW', 'V', 'FARE', 'LA', 'ONT', 'A', 'HEAT', 'CLUB', 'NINE', 'SAW', 'APT', 'TRIM', 'B', 'CAME', 'WONT', 'WHERE', 'SUCH', 'BUY', 'BUT', 'NAME', 'D', 'ON', 'WHICH', 'LAUS', 'OF', 'HE', 'SUB', 'RENT', 'FAR', 'EAT', 'PAP', 'LUTE', 'ME', 'INT', 'MI', 'INS', 'ANON', 'ERE', 'WOOD', 'RARE', 'DINE', 'ANNE', 'NIT', 'IMP', 'DO', 'MIRE', 'WAS', 'DID', 'AIR', 'I', 'IS', 'IT', 'IN', 'IF', 'NAY', 'E', 'SNAKE', 'NO', 'NE', 'WHEN', 'ISBUT', 'FIRE', 'SIR', 'SIT', 'RICH', 'KNOWN', 'CAP', 'CAN', 'MAKE', 'L', 'WOO', 'ET', 'ARE', 'BA', 'OFT', 'THIN', 'SAT', 'AND', 'ANT', 'HER', 'OWN', 'FAN', 'T', 'DART', 'DARE', 'FA', 'O', 'ACT', 'EQUAL', 'TH', 'TI', 'TE', 'AD', 'AM', 'AN', 'AS', 'AT', 'AY', 'MANS', 'LAY', 'KNOW', 'LINEN', 'HIS', 'HID', 'HIM', 'HIT', 'TRUTH', 'WON', 'HERE', 'BID', 'FIFTY', 'CONTINENT', 'FIFTH', 'THINE', 'WANT', 'RE', 'ART', 'ACUTE', 'TIS', 'UT', 'US', 'U', 'CUT', 'DAN', 'DAY', 'PLAY']
"""
