Wordbrain Solver – 6×6 – With filtering v.3

12th May 2017 phobic

I have shortened down some of the code, added clearing of screen before printout and added support for 6×6 puzzles. I have not got this far yet, so I have no idea on the runtime. But I’ll guess it is exponential from 5×5. This means I need to add the check of two first and last letters, maybe also another one for the three first and last letters. I wanted to add some more sexiness to the printout, so I made an old school percentage bar. When I start the program in Terminal, it looks like this.

The new code is here:

# Solve Wordbrain puzzles
# Works for 2x2, 3x3, 4x4, 5x5 and 6x6 puzzles
# By Karstein Kvistad @ phobic.no
# 2017

# Import libraries used
import json
import time
import os


# Global variables
global start_time

# Import all dictionaries
wordDictStart = [0]
for i in range(1,10):
    wordDictStart.append(json.loads(open('wordDictStart'+str(i)+'.txt').read()))
wordDict = json.loads(open('wordDict.txt').read())

def pathListToString(path):
#Converts a list - ['a','b','c'] - to a string - 'abc'

    if path != None:
        temp = ''
        for item in path:
            temp+=''.join(item)
            pathString = ''.join([i for i in temp if not i.isdigit()])
        return pathString
    else:
        return []

def filterPaths(newpaths):
    if not newpaths == {}:
        print('Newpaths: ' + str(len(newpaths[0])) + ' ' + str(newpaths))
        #print('DEBUG: Newpath length: ' + str(len(newpath)))

        if len(newpaths[0]) > 8:
            print(str(len(newpaths[0])) + ' is longer than 8 - BREAK')
            
        if not (len(newpaths[0]) == 4 or len(newpaths[0]) == 6 or len(newpaths[0]) == 7 or len(newpaths[0]) == 8):
            print('NOT 4,6,7 or 8 - BREAK')
            

        if newpaths[0][0]+newpaths[0][1]+newpaths[0][-2]+newpaths[0][-1] not in wordDict_secondfirstLast:
            print('NOT in dict - BREAK')
            
    return path

#DEBUG: l,m1,g,p,s1,a1,ø,n1,r1,b,r2,n2,a2,e1,u,d,s2,r3,e2,m2,e3,r4,e4,e5,s3
def find_all_paths_from_to(graph, start, end, path=[], dictPaths = {}):
    path = path + [start]
    if start == end:
        return [path]
    if start not in graph:
        return []
    paths = [] # Set as Return to fix to original
    #print('DEBUG: dictPaths: ' + str(dictPaths))
    #print('DEBUG: Path: ' + str(pathListToString(path))) # Print the actual word-paths found
    if len(path) < 9:
        for node in graph[start]:
            if node not in path:
                newpaths = find_all_paths_from_to(graph, node, end, path)
                #if not (newpaths == {} or newpaths == []):
                #print('DEBUG: newpaths[0]) - '+ str(newpaths[0]))
                #print('DEBUG: newpaths - '+ str(newpaths))
                if not (str(type(newpaths)) == "<class 'dict'>"): # Filters the {} which sometimes appear
                    if (len(pathListToString(newpaths[0])) > 1):
                        for newpath in newpaths:
                            # print('DEBUG: Newpath: ' + str(len(newpath)) + ' ' + pathListToString(newpath))
                            newPathString = pathListToString(newpath)
                            i=0
                            for i in range(1,10):                       
                                if (len(newPathString) == i) and (newPathString in wordDictStart[i]) and (newPathString in wordDict):
                                    dictPaths.update({newPathString:newPathString})
                                    #print('DEBUG: This word is plausible: ' + newPathString)
    return dictPaths


def printSorted(possibleWords):
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    print('\n', 'Words in Wordlist:'), print(sorted(possibleWords))
    for words in possibleWords.keys():
        for i in range(2,10):            
            if len(words) == i:
                letter[i].update({words:words})
    print()
    for i in range(2,10):
        if not letter[i] == {}:
            print(str(i)+'-letter words:')
            print(str(sorted(letter[i]))), print()


def make2x2graph(pos1, pos2, pos3, pos4):
    """
    Returns a tree as dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

    pos1  -   pos2
      |   X     |
    pos3  -   pos4

    """
    return {pos1: [pos1, pos2, pos3, pos4],
            pos2: [pos2, pos4, pos3, pos1],
            pos3: [pos3, pos1, pos2, pos4],
            pos4: [pos4, pos3, pos1, pos2]}                   


def make3x3graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes
    
    pos1  -   pos2  -   pos3
    |    X     |   X     |
    pos4  -   pos5  -   pos6
    |    X     |   X     |
    pos7  -   pos8  -   pos9

    """
    return {pos1: [pos1, pos2, pos5, pos4],
            pos2: [pos2, pos3, pos6, pos5, pos4, pos1],
            pos3: [pos3, pos6, pos5, pos2],
            pos4: [pos4, pos1, pos2, pos5, pos8, pos7],
            pos5: [pos5, pos1, pos2, pos3, pos6, pos9, pos8, pos7, pos4],
            pos6: [pos6, pos2, pos3, pos9, pos8, pos5],
            pos7: [pos7, pos4, pos5, pos8],
            pos8: [pos8, pos4, pos5, pos6, pos9, pos7],
            pos9: [pos9, pos5, pos6, pos8]}


def make4x4graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

     pos1  -   pos2  -   pos3  -   pos4
      |    X     |   X     |   X     |
     pos5  -   pos6  -   pos7  -   pos8
      |    X     |   X     |   X     |
     pos9  -  pos10  -  pos11  -   pos12
      |    X     |   X     |   X     |
    pos13  -  pos14  -  pos15  -   pos16

    """
    return { pos1: [pos1, pos2, pos6, pos5],
             pos2: [pos2, pos1, pos3, pos7, pos6, pos5],
             pos3: [pos3, pos2, pos4, pos8, pos7, pos6],
             pos4: [pos4, pos3, pos8, pos7],
             pos5: [pos5, pos1, pos2, pos6, pos10, pos9],
             pos6: [pos6, pos1, pos2, pos3, pos7, pos11, pos10, pos9, pos5],
             pos7: [pos7, pos2, pos3, pos4, pos8, pos12, pos11, pos10, pos6],
             pos8: [pos8, pos3, pos4, pos12, pos11, pos7],
             pos9: [pos9, pos5, pos6, pos10, pos14, pos13],
            pos10: [pos10, pos5, pos6, pos7, pos11, pos15, pos14, pos13, pos9],
            pos11: [pos11, pos6, pos7, pos8, pos12, pos16, pos15, pos14, pos10],
            pos12: [pos12, pos7, pos8, pos16, pos15, pos11],
            pos13: [pos13, pos9, pos10, pos14],
            pos14: [pos14, pos9, pos10, pos11, pos15, pos13],
            pos15: [pos15, pos10, pos11, pos12, pos16, pos14],
            pos16: [pos16, pos11, pos12, pos15]}


def make5x5graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

     pos1  -   pos2  -   pos3  -   pos4  -   pos5
      |    X     |   X     |   X     |   X     |
     pos6  -   pos7  -   pos8  -   pos9  -   pos10
      |    X     |   X     |   X     |   X     |
    pos11  -  pos12  -  pos13  -  pos14  -   pos15
      |    X     |   X     |   X     |   X     |
    pos16  -  pos17  -  pos18  -  pos19  -   pos20
      |    X     |   X     |   X     |   X     |
    pos21  -  pos22  -  pos23  -  pos24  -   pos25

    """
    return { pos1: [pos1, pos2, pos7, pos6],
             pos2: [pos2, pos1, pos3, pos8, pos7, pos6],
             pos3: [pos3, pos2, pos4, pos9, pos8, pos7],
             pos4: [pos4, pos3, pos5, pos10, pos9, pos8],
             pos5: [pos5, pos4, pos10, pos9],
             pos6: [pos6, pos1, pos2, pos7, pos12, pos12],
             pos7: [pos7, pos1, pos2, pos3, pos8, pos13, pos12, pos11, pos6],
             pos8: [pos8, pos2, pos3, pos4, pos9, pos14, pos13, pos12, pos7],
             pos9: [pos9, pos3, pos4, pos5, pos10, pos15, pos14, pos13, pos8],
            pos10: [pos10, pos4, pos5, pos15, pos14, pos9],
            pos11: [pos11, pos6, pos7, pos12, pos17, pos16],
            pos12: [pos12, pos6, pos7, pos8, pos13, pos18, pos17, pos16, pos11],
            pos13: [pos13, pos7, pos8, pos9, pos14, pos19, pos18, pos17, pos12],
            pos14: [pos14, pos8, pos9, pos10, pos15, pos20, pos19, pos18, pos13],
            pos15: [pos15, pos9, pos10, pos20, pos19, pos14],
            pos16: [pos16, pos11, pos12, pos17, pos22, pos21],
            pos17: [pos17, pos11, pos12, pos13, pos18, pos23],
            pos18: [pos18, pos12, pos13, pos14, pos19, pos24, pos23, pos22, pos17],
            pos19: [pos19, pos13, pos14, pos15, pos20, pos25, pos24, pos23, pos18],
            pos20: [pos20, pos14, pos15, pos25, pos24, pos19],
            pos21: [pos21, pos16, pos17, pos22],
            pos22: [pos22, pos16, pos17, pos18, pos23, pos21],
            pos23: [pos23, pos17, pos18, pos19, pos24, pos22],
            pos24: [pos24, pos18, pos19, pos20, pos25, pos23],
            pos25: [pos25, pos19, pos20, pos24]}


def make6x6graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

     pos1  -    pos2  -   pos3  -   pos4   -   pos5    -   pos6
      |    X      |   X     |   X     |    X     |     X      |
     pos7  -    pos8  -   pos9  -  pos10   -   pos11   -   pos12
      |    X      |   X     |   X     |    X     |     X      |
    pos13  -   pos14  -  pos15  -  pos16   -   pos17   -   pos18
      |    X      |   X     |   X     |    X     |     X      |
    pos19  -   pos20  -  pos21  -  pos22   -   pos23   -   pos24
      |    X      |   X     |   X     |    X     |     X      |
    pos25  -   pos26  -  pos27  -  pos28   -   pos29   -   pos30
      |    X      |   X     |   X     |    X     |     X      |
    pos31  -   pos32  -  pos33  -  pos34   -   pos35   -   pos36
    

    """
    return { pos1: [pos1, pos2, pos8, pos7],
             pos2: [pos2, pos3, pos9, pos8, pos7, pos1],
             pos3: [pos3, pos4, pos10, pos9, pos8, pos2],
             pos4: [pos4, pos5, pos11, pos10, pos9, pos3],
             pos5: [pos5, pos6, pos12, pos11, pos10, pos4],
             pos6: [pos6, pos12, pos11, pos5],
             pos7: [pos7, pos1, pos2, pos8, pos14, pos13],
             pos8: [pos8, pos1, pos2, pos3, pos9, pos15, pos14, pos13, pos7],
             pos9: [pos9, pos2, pos3, pos4, pos10, pos16, pos15, pos14, pos8],
            pos10: [pos10, pos3, pos4, pos5, pos11, pos17, pos16, pos15, pos9],
            pos11: [pos11, pos4, pos5, pos6, pos12, pos18, pos17, pos16, pos10],  
            pos12: [pos12, pos5, pos6, pos18, pos17, pos11],
            pos13: [pos13, pos7, pos8, pos14, pos20, pos19],
            pos14: [pos14, pos7, pos8, pos9, pos15, pos21, pos20, pos19, pos13],
            pos15: [pos15, pos8, pos9, pos10, pos16, pos22, pos21, pos20, pos14],
            pos16: [pos16, pos9, pos10, pos11, pos17, pos23, pos22, pos21, pos15],
            pos17: [pos17, pos10, pos11, pos12, pos18, pos24, pos23, pos22, pos16],
            pos18: [pos18, pos11, pos12, pos24, pos23, pos17],
            pos19: [pos19, pos13, pos14, pos20, pos26, pos25],
            pos20: [pos20, pos13, pos14, pos15, pos21, pos27, pos26, pos25, pos19],
            pos21: [pos21, pos14, pos15, pos16, pos22, pos28, pos27, pos26, pos20],
            pos22: [pos22, pos15, pos16, pos17, pos23, pos29, pos28, pos27, pos21],
            pos23: [pos23, pos16, pos17, pos18, pos24, pos30, pos29, pos28, pos22],
            pos24: [pos24, pos17, pos18, pos30, pos29, pos23],
            pos25: [pos25, pos19, pos20, pos26, pos32, pos31],
            pos26: [pos26, pos19, pos20, pos21, pos27, pos33, pos32, pos31, pos25],
            pos27: [pos27, pos20, pos21, pos22, pos28, pos34, pos33, pos32, pos26],
            pos28: [pos28, pos21, pos22, pos23, pos29, pos35, pos34, pos33, pos27],
            pos29: [pos29, pos22, pos23, pos24, pos30, pos36, pos35, pos34, pos28],
            pos30: [pos30, pos23, pos24, pos36, pos35, pos29],
            pos31: [pos31, pos25, pos26, pos32],
            pos32: [pos32, pos25, pos26, pos27, pos33, pos31],
            pos33: [pos33, pos26, pos27, pos28, pos34, pos32],
            pos34: [pos34, pos27, pos28, pos29, pos35, pos33],
            pos35: [pos35, pos28, pos29, pos30, pos36, pos34],
            pos36: [pos36, pos29, pos30, pos35]}


def makeEndPoints2x2(pos1, pos2, pos3, pos4):
    """
    Possible endpoints from startpoint on 2x2
    Get value with endpoints[key][item]
    """
    return {pos1: [pos1, pos2, pos3, pos4],
            pos2: [pos2, pos1, pos3, pos4],
            pos3: [pos3, pos1, pos2, pos4],
            pos4: [pos4, pos1, pos2, pos3]}


def makeEndPoints3x3(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9):
    """
    Possible endpoints from startpoint on 3x3
    First value is Start node.
    """
    return {pos1: [pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos8,pos9],
            pos2: [pos2,pos1,pos3,pos4,pos5,pos6,pos7,pos8,pos9],
            pos3: [pos3,pos1,pos2,pos4,pos5,pos6,pos7,pos8,pos9],
            pos4: [pos4,pos1,pos2,pos3,pos5,pos6,pos7,pos8,pos9],
            pos5: [pos5,pos1,pos2,pos3,pos4,pos6,pos7,pos8,pos9],
            pos6: [pos6,pos1,pos2,pos3,pos4,pos5,pos7,pos8,pos9],
            pos7: [pos7,pos1,pos2,pos3,pos4,pos5,pos6,pos8,pos9],
            pos8: [pos8,pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos9],
            pos9: [pos9,pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos8]}

def makeEndPoints4x4(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16):
    """
    Possible endpoints from startpoint on 4x4
    First value is Start node.
    """
    return  { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos3: [pos3, pos1, pos2, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos4: [pos4, pos1, pos2, pos3, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos5: [pos5, pos1, pos2, pos3, pos4, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos6: [pos6, pos1, pos2, pos3, pos4, pos5, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos7: [pos7, pos1, pos2, pos3, pos4, pos5, pos6, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos8: [pos8, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos9: [pos9, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
             pos10: [pos10, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos11, pos12, pos13, pos14, pos15, pos16],
             pos11: [pos11, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos12, pos13, pos14, pos15, pos16],
             pos12: [pos12, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos13, pos14, pos15, pos16],
             pos13: [pos13, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos14, pos15, pos16],
             pos14: [pos14, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos15, pos16],
             pos15: [pos15, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos16],
             pos16: [pos16, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15]}

def makeEndPoints5x5(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25):
    """
    Possible endpoints from startpoint on 5x5
    First value is Start node.
    """
    return  { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos3: [pos3, pos2, pos1, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos4: [pos4, pos3, pos2, pos1, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos5: [pos5, pos4, pos3, pos2, pos1, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos6: [pos6, pos5, pos4, pos3, pos2, pos1, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos7: [pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos8: [pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos9: [pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos10: [pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos11: [pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos12: [pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos13: [pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos14: [pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos15: [pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos16: [pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos17: [pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos18: [pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos19: [pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos20, pos21, pos22, pos23, pos24, pos25],
             pos20: [pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos21, pos22, pos23, pos24, pos25],
             pos21: [pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos22, pos23, pos24, pos25],
             pos22: [pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos23, pos24, pos25],
             pos23: [pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos24, pos25],
             pos24: [pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos25],
             pos25: [pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1]}


def makeEndPoints6x6(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36):
    """
    Possible endpoints from startpoint on 6x6
    First value is Start node.
    """

    return  { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos3: [pos3, pos2, pos1, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos4: [pos4, pos3, pos2, pos1, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos5: [pos5, pos4, pos3, pos2, pos1, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos6: [pos6, pos5, pos4, pos3, pos2, pos1, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos7: [pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos8: [pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
              pos9: [pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos10: [pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos11: [pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos12: [pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos13: [pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos14: [pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos15: [pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos16: [pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos17: [pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos18: [pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos19: [pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos20: [pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos21: [pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos22: [pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos23: [pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos24: [pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos25: [pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos26: [pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos27: [pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos28: [pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos29: [pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos30, pos31, pos32, pos33, pos34, pos35, pos36],
             pos30: [pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos31, pos32, pos33, pos34, pos35, pos36],
             pos31: [pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos32, pos33, pos34, pos35, pos36],
             pos32: [pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos33, pos34, pos35, pos36],
             pos33: [pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos34, pos35, pos36],
             pos34: [pos34, pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos35, pos36],
             pos35: [pos35, pos34, pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos36],
             pos36: [pos36, pos35, pos34, pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1]}


def show2x2pathsPossible(endpoints2x2, twoGraph, start_time):
    all_paths = {}
    for item in endpoints2x2.values(): #Result: ['k1', 's', 'k2', 'o']
        path_start_time = time.time()
        #print(item)
        # item1->item2, item1->item3, item1->item4
        # i->i+1, i->i+2, i->i+3, i->i+len(item)-1
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(twoGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            #print(pathsFound)
            all_paths.update(pathsFound)
    return all_paths


def show3x3pathsPossible(endpoints3x3, threeGraph, start_time):
    all_paths = {}
    for item in endpoints3x3.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(threeGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            #print(pathsFound)
            all_paths.update(pathsFound)
    return all_paths


def show4x4pathsPossible(endpoints4x4, fourGraph, start_time):
    j,k,so_far,s,l = 0,0,'░'*50+' 0%','0%',0
    all_paths = {}
    for item in endpoints4x4.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            j=j+1   # Counts all the start-end paths -  in total
            pathsFound = (find_all_paths_from_to(fourGraph, item[0], item[i]))
            end_time = time.time() - start_time
            if i%2 == 0:
                l = l+1
                s = ' ' + str(l) + '%'

            if i%4 == 0:
                k=k+1
                so_far=('▓'*(k))+('░'*(50-k)+s)
            printout = (so_far+'   [' + str(item[0]) + ' -> ' + str(item[i]) + ']   Time: ' + str(round(end_time, 3)))
            print(printout, sep=' ', end='', flush=True)
            backspace(len(printout))
            all_paths.update(pathsFound)
            #print(pathsFound)
    return all_paths


def show5x5pathsPossible(endpoints5x5, fiveGraph, start_time):
    j,k,so_far,s,l = 0,0,'░'*50+' 0%','0%',0
    all_paths = {}
    for item in endpoints5x5.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            j=j+1   # Counts all the start-end paths - 600 in total
            pathsFound = (find_all_paths_from_to(fiveGraph, item[0], item[i]))
            end_time = time.time() - start_time
            if i%6 == 0:
                l = l+1
                s = ' ' + str(l) + '%'

            if i%12 == 0:
                k=k+1
                so_far=('▓'*(k))+('░'*(50-k)+s)
            printout = (so_far+'   [' + str(item[0]) + ' -> ' + str(item[i]) + ']   Time: ' + str(round(end_time, 3)))
            print(printout, sep=' ', end='', flush=True)
            backspace(len(printout))
            all_paths.update(pathsFound)
            #print('DEBUG: all_paths: ' + str(all_paths) + ' pathsFound: ' + str(pathsFound))
    return all_paths

def backspace(n):
    print('\r' * n, end='')                 # use '\r' to go back


def show6x6pathsPossible(endpoints6x6, sixGraph, start_time):
    all_paths = {}
    for item in endpoints6x6.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(sixGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            all_paths.update(pathsFound)
            #print('DEBUG: all_paths: ' + str(all_paths) + ' pathsFound: ' + str(pathsFound))
    return all_paths


def manualInput2x2(start_time, ch0, ch1, ch2, ch3):
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    twoGraph = make2x2graph(ch0, ch1, ch2, ch3)
    endpoints2x2 = makeEndPoints2x2(ch0, ch1, ch2, ch3)
    possibleTwo = show2x2pathsPossible(endpoints2x2, twoGraph, start_time)
    printSorted(possibleTwo)
    return possibleTwo


def manualInput3x3(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8):
    # Input: e,n1,g,s,n2,r,t,o,u --> 'e','n1','g','s','n2','r','t','o','u'
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    threeGraph = make3x3graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8)
    # Result: 'Startnode': ['neighbour1', 'neighbour2', 'neighbour3', 'neighbour4']
    #{'e': ['e', 'n', 'n', 's'], 'n': ['n', 'e', 'n', 'g', 'r', 'u', 'o', 't', 's'],
    # 'g': ['g', 'r', 'n', 'n'], 's': ['s', 'e', 'n', 'n', 'o', 't'],
    # 'r': ['r', 'n', 'g', 'u', 'o', 'n'], 't': ['t', 's', 'n', 'o'],
    # 'o': ['o', 's', 'n', 'r', 'u', 't'], 'u': ['u', 'n', 'r', 'o']}
    endpoints3x3 = makeEndPoints3x3(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8)
    # Result: 'Startnode': ['endpoint1', 'endpoint2', 'endpoint3', 'endpoint1', '.......']
    #{'e': ['e', 'n', 'g', 's', 'n', 'r', 't', 'o', 'u'], 'n': ['n', 'e', 'n', 'g', 's', 'r', 't', 'o', 'u'],
    # 'g': ['g', 'e', 'n', 's', 'n', 'r', 't', 'o', 'u'], 's': ['s', 'e', 'n', 'g', 'n', 'r', 't', 'o', 'u'],
    # 'r': ['r', 'e', 'n', 'g', 's', 'n', 't', 'o', 'u'], 't': ['t', 'e', 'n', 'g', 's', 'n', 'r', 'o', 'u'],
    # 'o': ['o', 'e', 'n', 'g', 's', 'n', 'r', 't', 'u'], 'u': ['u', 'e', 'n', 'g', 's', 'n', 'r', 't', 'o']}
    possibleThree = show3x3pathsPossible(endpoints3x3, threeGraph, start_time)
    printSorted(possibleThree)
    return possibleThree


def manualInput4x4(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15):
    fourGraph = make4x4graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15)
    endpoints4x4 = makeEndPoints4x4(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15)
    possibleFour = show4x4pathsPossible(endpoints4x4, fourGraph, start_time)
    printSorted(possibleFour)
    return possibleFour

    
def manualInput5x5(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24):
    fiveGraph = make5x5graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24)
    endpoints5x5 = makeEndPoints5x5(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24)
    possibleFive = show5x5pathsPossible(endpoints5x5, fiveGraph, start_time)
    printSorted(possibleFive)
    return possibleFive


def manualInput6x6(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24, ch25, ch26, ch27, ch28, ch29, ch30, ch31, ch32, ch33, ch34, ch35):
    sixGraph = make6x6graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24, ch25, ch26, ch27, ch28, ch29, ch30, ch31, ch32, ch33, ch34, ch35)
    endpoints6x6 = makeEndPoints6x6(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24, ch25, ch26, ch27, ch28, ch29, ch30, ch31, ch32, ch33, ch34, ch35)
    possibleSix = show6x6pathsPossible(endpoints6x6, sixGraph, start_time)
    printSorted(possibleSix)
    return possibleSix


def inputchar(wordDict):
    char = []
    input_str=''
    print('Skriv inn dine bokstaver adskilt med *komma*:')  # Type in your letters
    input_str = input('Legg til nummerering på like bokstaver (n1, r, n2...)' + '\n')   # Add numbering on similar characters

    input_str = [x.strip() for x in input_str.split(',')]       # Strip and divide by "," and put in a list
    print(input_str)

    if len(input_str) == 4:
        start_time = time.time()
        manualInput2x2(start_time, input_str[0], input_str[1], input_str[2], input_str[3])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

    if len(input_str) == 9:
        start_time = time.time()
        manualInput3x3(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],
                       input_str[5], input_str[6], input_str[7], input_str[8])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

    if len(input_str) == 16:
        print('Estimert tid er 40 sekunder.')
        start_time = time.time()
        manualInput4x4(start_time, input_str[0], input_str[1], input_str[2], input_str[3],
                       input_str[4], input_str[5], input_str[6], input_str[7],
                       input_str[8], input_str[9], input_str[10], input_str[11],
                       input_str[12], input_str[13], input_str[14], input_str[15])
        end_time= time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

    if len(input_str) == 25:
        print('Estimert tid er 7 minutter.')
        start_time = time.time()
        manualInput5x5(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],
                        input_str[5], input_str[6], input_str[7], input_str[8], input_str[9],
                        input_str[10], input_str[11], input_str[12], input_str[13], input_str[14],
                        input_str[15], input_str[16], input_str[17], input_str[18], input_str[19],
                        input_str[20], input_str[21], input_str[22], input_str[23], input_str[24])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')
        

    if len(input_str) == 36:
        print('Estimert tid er xxxxx minutter.')
        start_time = time.time()
        manualInput6x6(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],
                        input_str[5], input_str[6], input_str[7], input_str[8], input_str[9],
                        input_str[10], input_str[11], input_str[12], input_str[13], input_str[14],
                        input_str[15], input_str[16], input_str[17], input_str[18], input_str[19],
                        input_str[20], input_str[21], input_str[22], input_str[23], input_str[24],
                        input_str[25], input_str[26], input_str[27], input_str[28], input_str[29],
                        input_str[30], input_str[31], input_str[32], input_str[33], input_str[34], input_str[35])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')
        

# Run program, if this file is called directly. If this file is imported, this part is skipped
if __name__ == '__main__':
    try:
        os.system('cls||clear')
        inputchar(wordDict)
    except ValueError:
        print(),print('ERROR:')
        print('+----------------------------------------------------------------------------+')
        print('| Oops! Maybe you forgot to add numbering to same type letters. Try again... |')
        print('| Example: k,å,k,r,e,l,k,e,m => k1,å,k2,r,e1,l,k,e2,m                        |')
        print('+----------------------------------------------------------------------------+')
        print()

#5x5 TEST STRING
#l,m1,g,p,s1,a1,ø,n,r1,b,r2,n,a2,e1,u,d,s2,r3,e2,m2,e3,r4,e4,e5,s3

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# Solve Wordbrain puzzles

# Works for 2x2, 3x3, 4x4, 5x5 and 6x6 puzzles

# By Karstein Kvistad @ phobic.no

# 2017

# Import libraries used

import json

import time

import os

# Global variables

global start_time

# Import all dictionaries

wordDictStart = [0]

for i in range(1,10):

wordDictStart.append(json.loads(open('wordDictStart'+str(i)+'.txt').read()))

wordDict = json.loads(open('wordDict.txt').read())

def pathListToString(path):

#Converts a list - ['a','b','c'] - to a string - 'abc'

if path != None:

temp = ''

for item in path:

temp+=''.join(item)

pathString = ''.join([i for i in temp if not i.isdigit()])

return pathString

else:

return []

def filterPaths(newpaths):

if not newpaths == {}:

print('Newpaths: ' + str(len(newpaths[0])) + ' ' + str(newpaths))

#print('DEBUG: Newpath length: ' + str(len(newpath)))

if len(newpaths[0]) > 8:

print(str(len(newpaths[0])) + ' is longer than 8 - BREAK')

if not (len(newpaths[0]) == 4 or len(newpaths[0]) == 6 or len(newpaths[0]) == 7 or len(newpaths[0]) == 8):

print('NOT 4,6,7 or 8 - BREAK')

if newpaths[0][0]+newpaths[0][1]+newpaths[0][-2]+newpaths[0][-1] not in wordDict_secondfirstLast:

print('NOT in dict - BREAK')

return path

#DEBUG: l,m1,g,p,s1,a1,ø,n1,r1,b,r2,n2,a2,e1,u,d,s2,r3,e2,m2,e3,r4,e4,e5,s3

def find_all_paths_from_to(graph, start, end, path=[], dictPaths = {}):

path = path + [start]

if start == end:

return [path]

if start not in graph:

return []

paths = [] # Set as Return to fix to original

#print('DEBUG: dictPaths: ' + str(dictPaths))

#print('DEBUG: Path: ' + str(pathListToString(path))) # Print the actual word-paths found

if len(path) < 9:

for node in graph[start]:

if node not in path:

newpaths = find_all_paths_from_to(graph, node, end, path)

#if not (newpaths == {} or newpaths == []):

#print('DEBUG: newpaths[0]) - '+ str(newpaths[0]))

#print('DEBUG: newpaths - '+ str(newpaths))

if not (str(type(newpaths)) == "<class 'dict'>"): # Filters the {} which sometimes appear

if (len(pathListToString(newpaths[0])) > 1):

for newpath in newpaths:

# print('DEBUG: Newpath: ' + str(len(newpath)) + ' ' + pathListToString(newpath))

newPathString = pathListToString(newpath)

i=0

for i in range(1,10):

if (len(newPathString) == i) and (newPathString in wordDictStart[i]) and (newPathString in wordDict):

dictPaths.update({newPathString:newPathString})

#print('DEBUG: This word is plausible: ' + newPathString)

return dictPaths

def printSorted(possibleWords):

letter = [{}]

for n in range(0,10):

letter.append({})

print('\n', 'Words in Wordlist:'), print(sorted(possibleWords))

for words in possibleWords.keys():

for i in range(2,10):

if len(words) == i:

letter[i].update({words:words})

print()

for i in range(2,10):

if not letter[i] == {}:

print(str(i)+'-letter words:')

print(str(sorted(letter[i]))), print()

def make2x2graph(pos1, pos2, pos3, pos4):

"""

Returns a tree as dictionary with startnode as key.

First value is same as startnode, and the rest is neighbour nodes

pos1 - pos2

| X |

pos3 - pos4

"""

return {pos1: [pos1, pos2, pos3, pos4],

pos2: [pos2, pos4, pos3, pos1],

pos3: [pos3, pos1, pos2, pos4],

pos4: [pos4, pos3, pos1, pos2]}

def make3x3graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9):

"""

Returns a dictionary with startnode as key.

First value is same as startnode, and the rest is neighbour nodes

pos1 - pos2 - pos3

| X | X |

pos4 - pos5 - pos6

| X | X |

pos7 - pos8 - pos9

"""

return {pos1: [pos1, pos2, pos5, pos4],

pos2: [pos2, pos3, pos6, pos5, pos4, pos1],

pos3: [pos3, pos6, pos5, pos2],

pos4: [pos4, pos1, pos2, pos5, pos8, pos7],

pos5: [pos5, pos1, pos2, pos3, pos6, pos9, pos8, pos7, pos4],

pos6: [pos6, pos2, pos3, pos9, pos8, pos5],

pos7: [pos7, pos4, pos5, pos8],

pos8: [pos8, pos4, pos5, pos6, pos9, pos7],

pos9: [pos9, pos5, pos6, pos8]}

def make4x4graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16):

"""

Returns a dictionary with startnode as key.

First value is same as startnode, and the rest is neighbour nodes

pos1 - pos2 - pos3 - pos4

| X | X | X |

pos5 - pos6 - pos7 - pos8

| X | X | X |

pos9 - pos10 - pos11 - pos12

| X | X | X |

pos13 - pos14 - pos15 - pos16

"""

return { pos1: [pos1, pos2, pos6, pos5],

pos2: [pos2, pos1, pos3, pos7, pos6, pos5],

pos3: [pos3, pos2, pos4, pos8, pos7, pos6],

pos4: [pos4, pos3, pos8, pos7],

pos5: [pos5, pos1, pos2, pos6, pos10, pos9],

pos6: [pos6, pos1, pos2, pos3, pos7, pos11, pos10, pos9, pos5],

pos7: [pos7, pos2, pos3, pos4, pos8, pos12, pos11, pos10, pos6],

pos8: [pos8, pos3, pos4, pos12, pos11, pos7],

pos9: [pos9, pos5, pos6, pos10, pos14, pos13],

pos10: [pos10, pos5, pos6, pos7, pos11, pos15, pos14, pos13, pos9],

pos11: [pos11, pos6, pos7, pos8, pos12, pos16, pos15, pos14, pos10],

pos12: [pos12, pos7, pos8, pos16, pos15, pos11],

pos13: [pos13, pos9, pos10, pos14],

pos14: [pos14, pos9, pos10, pos11, pos15, pos13],

pos15: [pos15, pos10, pos11, pos12, pos16, pos14],

pos16: [pos16, pos11, pos12, pos15]}

def make5x5graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25):

"""

Returns a dictionary with startnode as key.

First value is same as startnode, and the rest is neighbour nodes

pos1 - pos2 - pos3 - pos4 - pos5

| X | X | X | X |

pos6 - pos7 - pos8 - pos9 - pos10

| X | X | X | X |

pos11 - pos12 - pos13 - pos14 - pos15

| X | X | X | X |

pos16 - pos17 - pos18 - pos19 - pos20

| X | X | X | X |

pos21 - pos22 - pos23 - pos24 - pos25

"""

return { pos1: [pos1, pos2, pos7, pos6],

pos2: [pos2, pos1, pos3, pos8, pos7, pos6],

pos3: [pos3, pos2, pos4, pos9, pos8, pos7],

pos4: [pos4, pos3, pos5, pos10, pos9, pos8],

pos5: [pos5, pos4, pos10, pos9],

pos6: [pos6, pos1, pos2, pos7, pos12, pos12],

pos7: [pos7, pos1, pos2, pos3, pos8, pos13, pos12, pos11, pos6],

pos8: [pos8, pos2, pos3, pos4, pos9, pos14, pos13, pos12, pos7],

pos9: [pos9, pos3, pos4, pos5, pos10, pos15, pos14, pos13, pos8],

pos10: [pos10, pos4, pos5, pos15, pos14, pos9],

pos11: [pos11, pos6, pos7, pos12, pos17, pos16],

pos12: [pos12, pos6, pos7, pos8, pos13, pos18, pos17, pos16, pos11],

pos13: [pos13, pos7, pos8, pos9, pos14, pos19, pos18, pos17, pos12],

pos14: [pos14, pos8, pos9, pos10, pos15, pos20, pos19, pos18, pos13],

pos15: [pos15, pos9, pos10, pos20, pos19, pos14],

pos16: [pos16, pos11, pos12, pos17, pos22, pos21],

pos17: [pos17, pos11, pos12, pos13, pos18, pos23],

pos18: [pos18, pos12, pos13, pos14, pos19, pos24, pos23, pos22, pos17],

pos19: [pos19, pos13, pos14, pos15, pos20, pos25, pos24, pos23, pos18],

pos20: [pos20, pos14, pos15, pos25, pos24, pos19],

pos21: [pos21, pos16, pos17, pos22],

pos22: [pos22, pos16, pos17, pos18, pos23, pos21],

pos23: [pos23, pos17, pos18, pos19, pos24, pos22],

pos24: [pos24, pos18, pos19, pos20, pos25, pos23],

pos25: [pos25, pos19, pos20, pos24]}

def make6x6graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36):

"""

Returns a dictionary with startnode as key.

First value is same as startnode, and the rest is neighbour nodes

pos1 - pos2 - pos3 - pos4 - pos5 - pos6

| X | X | X | X | X |

pos7 - pos8 - pos9 - pos10 - pos11 - pos12

| X | X | X | X | X |

pos13 - pos14 - pos15 - pos16 - pos17 - pos18

| X | X | X | X | X |

pos19 - pos20 - pos21 - pos22 - pos23 - pos24

| X | X | X | X | X |

pos25 - pos26 - pos27 - pos28 - pos29 - pos30

| X | X | X | X | X |

pos31 - pos32 - pos33 - pos34 - pos35 - pos36

"""

return { pos1: [pos1, pos2, pos8, pos7],

pos2: [pos2, pos3, pos9, pos8, pos7, pos1],

pos3: [pos3, pos4, pos10, pos9, pos8, pos2],

pos4: [pos4, pos5, pos11, pos10, pos9, pos3],

pos5: [pos5, pos6, pos12, pos11, pos10, pos4],

pos6: [pos6, pos12, pos11, pos5],

pos7: [pos7, pos1, pos2, pos8, pos14, pos13],

pos8: [pos8, pos1, pos2, pos3, pos9, pos15, pos14, pos13, pos7],

pos9: [pos9, pos2, pos3, pos4, pos10, pos16, pos15, pos14, pos8],

pos10: [pos10, pos3, pos4, pos5, pos11, pos17, pos16, pos15, pos9],

pos11: [pos11, pos4, pos5, pos6, pos12, pos18, pos17, pos16, pos10],

pos12: [pos12, pos5, pos6, pos18, pos17, pos11],

pos13: [pos13, pos7, pos8, pos14, pos20, pos19],

pos14: [pos14, pos7, pos8, pos9, pos15, pos21, pos20, pos19, pos13],

pos15: [pos15, pos8, pos9, pos10, pos16, pos22, pos21, pos20, pos14],

pos16: [pos16, pos9, pos10, pos11, pos17, pos23, pos22, pos21, pos15],

pos17: [pos17, pos10, pos11, pos12, pos18, pos24, pos23, pos22, pos16],

pos18: [pos18, pos11, pos12, pos24, pos23, pos17],

pos19: [pos19, pos13, pos14, pos20, pos26, pos25],

pos20: [pos20, pos13, pos14, pos15, pos21, pos27, pos26, pos25, pos19],

pos21: [pos21, pos14, pos15, pos16, pos22, pos28, pos27, pos26, pos20],

pos22: [pos22, pos15, pos16, pos17, pos23, pos29, pos28, pos27, pos21],

pos23: [pos23, pos16, pos17, pos18, pos24, pos30, pos29, pos28, pos22],

pos24: [pos24, pos17, pos18, pos30, pos29, pos23],

pos25: [pos25, pos19, pos20, pos26, pos32, pos31],

pos26: [pos26, pos19, pos20, pos21, pos27, pos33, pos32, pos31, pos25],

pos27: [pos27, pos20, pos21, pos22, pos28, pos34, pos33, pos32, pos26],

pos28: [pos28, pos21, pos22, pos23, pos29, pos35, pos34, pos33, pos27],

pos29: [pos29, pos22, pos23, pos24, pos30, pos36, pos35, pos34, pos28],

pos30: [pos30, pos23, pos24, pos36, pos35, pos29],

pos31: [pos31, pos25, pos26, pos32],

pos32: [pos32, pos25, pos26, pos27, pos33, pos31],

pos33: [pos33, pos26, pos27, pos28, pos34, pos32],

pos34: [pos34, pos27, pos28, pos29, pos35, pos33],

pos35: [pos35, pos28, pos29, pos30, pos36, pos34],

pos36: [pos36, pos29, pos30, pos35]}

def makeEndPoints2x2(pos1, pos2, pos3, pos4):

"""

Possible endpoints from startpoint on 2x2

Get value with endpoints[key][item]

"""

return {pos1: [pos1, pos2, pos3, pos4],

pos2: [pos2, pos1, pos3, pos4],

pos3: [pos3, pos1, pos2, pos4],

pos4: [pos4, pos1, pos2, pos3]}

def makeEndPoints3x3(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9):

"""

Possible endpoints from startpoint on 3x3

First value is Start node.

"""

return {pos1: [pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos8,pos9],

pos2: [pos2,pos1,pos3,pos4,pos5,pos6,pos7,pos8,pos9],

pos3: [pos3,pos1,pos2,pos4,pos5,pos6,pos7,pos8,pos9],

pos4: [pos4,pos1,pos2,pos3,pos5,pos6,pos7,pos8,pos9],

pos5: [pos5,pos1,pos2,pos3,pos4,pos6,pos7,pos8,pos9],

pos6: [pos6,pos1,pos2,pos3,pos4,pos5,pos7,pos8,pos9],

pos7: [pos7,pos1,pos2,pos3,pos4,pos5,pos6,pos8,pos9],

pos8: [pos8,pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos9],

pos9: [pos9,pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos8]}

def makeEndPoints4x4(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16):

"""

Possible endpoints from startpoint on 4x4

First value is Start node.

"""

return { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos3: [pos3, pos1, pos2, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos4: [pos4, pos1, pos2, pos3, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos5: [pos5, pos1, pos2, pos3, pos4, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos6: [pos6, pos1, pos2, pos3, pos4, pos5, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos7: [pos7, pos1, pos2, pos3, pos4, pos5, pos6, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos8: [pos8, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos9: [pos9, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos10, pos11, pos12, pos13, pos14, pos15, pos16],

pos10: [pos10, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos11, pos12, pos13, pos14, pos15, pos16],

pos11: [pos11, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos12, pos13, pos14, pos15, pos16],

pos12: [pos12, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos13, pos14, pos15, pos16],

pos13: [pos13, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos14, pos15, pos16],

pos14: [pos14, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos15, pos16],

pos15: [pos15, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos16],

pos16: [pos16, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15]}

def makeEndPoints5x5(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25):

"""

Possible endpoints from startpoint on 5x5

First value is Start node.

"""

return { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos3: [pos3, pos2, pos1, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos4: [pos4, pos3, pos2, pos1, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos5: [pos5, pos4, pos3, pos2, pos1, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos6: [pos6, pos5, pos4, pos3, pos2, pos1, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos7: [pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos8: [pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos9: [pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos10: [pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos11: [pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos12: [pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos13: [pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos14: [pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos15: [pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos16: [pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos17: [pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos18: [pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos19, pos20, pos21, pos22, pos23, pos24, pos25],

pos19: [pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos20, pos21, pos22, pos23, pos24, pos25],

pos20: [pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos21, pos22, pos23, pos24, pos25],

pos21: [pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos22, pos23, pos24, pos25],

pos22: [pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos23, pos24, pos25],

pos23: [pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos24, pos25],

pos24: [pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos25],

pos25: [pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1]}

def makeEndPoints6x6(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36):

"""

Possible endpoints from startpoint on 6x6

First value is Start node.

"""

return { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos3: [pos3, pos2, pos1, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos4: [pos4, pos3, pos2, pos1, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos5: [pos5, pos4, pos3, pos2, pos1, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos6: [pos6, pos5, pos4, pos3, pos2, pos1, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos7: [pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos8: [pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos9: [pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos10: [pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos11: [pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos12: [pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos13: [pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos14: [pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos15: [pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos16: [pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos17: [pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos18: [pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos19, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos19: [pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos20, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos20: [pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos21, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos21: [pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos22, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos22: [pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos23, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos23: [pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos24, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos24: [pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos25, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos25: [pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos26, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos26: [pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos27, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos27: [pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos28, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos28: [pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos29, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos29: [pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos30, pos31, pos32, pos33, pos34, pos35, pos36],

pos30: [pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos31, pos32, pos33, pos34, pos35, pos36],

pos31: [pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos32, pos33, pos34, pos35, pos36],

pos32: [pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos33, pos34, pos35, pos36],

pos33: [pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos34, pos35, pos36],

pos34: [pos34, pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos35, pos36],

pos35: [pos35, pos34, pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos36],

pos36: [pos36, pos35, pos34, pos33, pos32, pos31, pos30, pos29, pos28, pos27, pos26, pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1]}

def show2x2pathsPossible(endpoints2x2, twoGraph, start_time):

all_paths = {}

for item in endpoints2x2.values(): #Result: ['k1', 's', 'k2', 'o']

path_start_time = time.time()

#print(item)

# item1->item2, item1->item3, item1->item4

# i->i+1, i->i+2, i->i+3, i->i+len(item)-1

for i in range(1,len(item)):

pathsFound = (find_all_paths_from_to(twoGraph, item[0], item[i]))

end_time = time.time() - start_time

print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))

#print(pathsFound)

all_paths.update(pathsFound)

return all_paths

def show3x3pathsPossible(endpoints3x3, threeGraph, start_time):

all_paths = {}

for item in endpoints3x3.values():

path_start_time = time.time()

for i in range(1,len(item)):

pathsFound = (find_all_paths_from_to(threeGraph, item[0], item[i]))

end_time = time.time() - start_time

print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))

#print(pathsFound)

all_paths.update(pathsFound)

return all_paths

def show4x4pathsPossible(endpoints4x4, fourGraph, start_time):

j,k,so_far,s,l = 0,0,'░'*50+' 0%','0%',0

all_paths = {}

for item in endpoints4x4.values():

path_start_time = time.time()

for i in range(1,len(item)):

j=j+1 # Counts all the start-end paths - in total

pathsFound = (find_all_paths_from_to(fourGraph, item[0], item[i]))

end_time = time.time() - start_time

if i%2 == 0:

l = l+1

s = ' ' + str(l) + '%'

if i%4 == 0:

k=k+1

so_far=('▓'*(k))+('░'*(50-k)+s)

printout = (so_far+' [' + str(item[0]) + ' -> ' + str(item[i]) + '] Time: ' + str(round(end_time, 3)))

print(printout, sep=' ', end='', flush=True)

backspace(len(printout))

all_paths.update(pathsFound)

#print(pathsFound)

return all_paths

def show5x5pathsPossible(endpoints5x5, fiveGraph, start_time):

j,k,so_far,s,l = 0,0,'░'*50+' 0%','0%',0

all_paths = {}

for item in endpoints5x5.values():

path_start_time = time.time()

for i in range(1,len(item)):

j=j+1 # Counts all the start-end paths - 600 in total

pathsFound = (find_all_paths_from_to(fiveGraph, item[0], item[i]))

end_time = time.time() - start_time

if i%6 == 0:

l = l+1

s = ' ' + str(l) + '%'

if i%12 == 0:

k=k+1

so_far=('▓'*(k))+('░'*(50-k)+s)

printout = (so_far+' [' + str(item[0]) + ' -> ' + str(item[i]) + '] Time: ' + str(round(end_time, 3)))

print(printout, sep=' ', end='', flush=True)

backspace(len(printout))

all_paths.update(pathsFound)

#print('DEBUG: all_paths: ' + str(all_paths) + ' pathsFound: ' + str(pathsFound))

return all_paths

def backspace(n):

print('\r' * n, end='') # use '\r' to go back

def show6x6pathsPossible(endpoints6x6, sixGraph, start_time):

all_paths = {}

for item in endpoints6x6.values():

path_start_time = time.time()

for i in range(1,len(item)):

pathsFound = (find_all_paths_from_to(sixGraph, item[0], item[i]))

end_time = time.time() - start_time

print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))

all_paths.update(pathsFound)

#print('DEBUG: all_paths: ' + str(all_paths) + ' pathsFound: ' + str(pathsFound))

return all_paths

def manualInput2x2(start_time, ch0, ch1, ch2, ch3):

letter = [{}]

for n in range(0,10):

letter.append({})

twoGraph = make2x2graph(ch0, ch1, ch2, ch3)

endpoints2x2 = makeEndPoints2x2(ch0, ch1, ch2, ch3)

possibleTwo = show2x2pathsPossible(endpoints2x2, twoGraph, start_time)

printSorted(possibleTwo)

return possibleTwo

def manualInput3x3(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8):

# Input: e,n1,g,s,n2,r,t,o,u --> 'e','n1','g','s','n2','r','t','o','u'

letter = [{}]

for n in range(0,10):

letter.append({})

threeGraph = make3x3graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8)

# Result: 'Startnode': ['neighbour1', 'neighbour2', 'neighbour3', 'neighbour4']

#{'e': ['e', 'n', 'n', 's'], 'n': ['n', 'e', 'n', 'g', 'r', 'u', 'o', 't', 's'],

# 'g': ['g', 'r', 'n', 'n'], 's': ['s', 'e', 'n', 'n', 'o', 't'],

# 'r': ['r', 'n', 'g', 'u', 'o', 'n'], 't': ['t', 's', 'n', 'o'],

# 'o': ['o', 's', 'n', 'r', 'u', 't'], 'u': ['u', 'n', 'r', 'o']}

endpoints3x3 = makeEndPoints3x3(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8)

# Result: 'Startnode': ['endpoint1', 'endpoint2', 'endpoint3', 'endpoint1', '.......']

#{'e': ['e', 'n', 'g', 's', 'n', 'r', 't', 'o', 'u'], 'n': ['n', 'e', 'n', 'g', 's', 'r', 't', 'o', 'u'],

# 'g': ['g', 'e', 'n', 's', 'n', 'r', 't', 'o', 'u'], 's': ['s', 'e', 'n', 'g', 'n', 'r', 't', 'o', 'u'],

# 'r': ['r', 'e', 'n', 'g', 's', 'n', 't', 'o', 'u'], 't': ['t', 'e', 'n', 'g', 's', 'n', 'r', 'o', 'u'],

# 'o': ['o', 'e', 'n', 'g', 's', 'n', 'r', 't', 'u'], 'u': ['u', 'e', 'n', 'g', 's', 'n', 'r', 't', 'o']}

possibleThree = show3x3pathsPossible(endpoints3x3, threeGraph, start_time)

printSorted(possibleThree)

return possibleThree

def manualInput4x4(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15):

fourGraph = make4x4graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15)

endpoints4x4 = makeEndPoints4x4(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15)

possibleFour = show4x4pathsPossible(endpoints4x4, fourGraph, start_time)

printSorted(possibleFour)

return possibleFour

def manualInput5x5(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24):

fiveGraph = make5x5graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24)

endpoints5x5 = makeEndPoints5x5(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24)

possibleFive = show5x5pathsPossible(endpoints5x5, fiveGraph, start_time)

printSorted(possibleFive)

return possibleFive

def manualInput6x6(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24, ch25, ch26, ch27, ch28, ch29, ch30, ch31, ch32, ch33, ch34, ch35):

sixGraph = make6x6graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24, ch25, ch26, ch27, ch28, ch29, ch30, ch31, ch32, ch33, ch34, ch35)

endpoints6x6 = makeEndPoints6x6(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24, ch25, ch26, ch27, ch28, ch29, ch30, ch31, ch32, ch33, ch34, ch35)

possibleSix = show6x6pathsPossible(endpoints6x6, sixGraph, start_time)

printSorted(possibleSix)

return possibleSix

def inputchar(wordDict):

char = []

input_str=''

print('Skriv inn dine bokstaver adskilt med *komma*:') # Type in your letters

input_str = input('Legg til nummerering på like bokstaver (n1, r, n2...)' + '\n') # Add numbering on similar characters

input_str = [x.strip() for x in input_str.split(',')] # Strip and divide by "," and put in a list

print(input_str)

if len(input_str) == 4:

start_time = time.time()

manualInput2x2(start_time, input_str[0], input_str[1], input_str[2], input_str[3])

end_time = time.time() - start_time

print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

if len(input_str) == 9:

start_time = time.time()

manualInput3x3(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],

input_str[5], input_str[6], input_str[7], input_str[8])

end_time = time.time() - start_time

print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

if len(input_str) == 16:

print('Estimert tid er 40 sekunder.')

start_time = time.time()

manualInput4x4(start_time, input_str[0], input_str[1], input_str[2], input_str[3],

input_str[4], input_str[5], input_str[6], input_str[7],

input_str[8], input_str[9], input_str[10], input_str[11],

input_str[12], input_str[13], input_str[14], input_str[15])

end_time= time.time() - start_time

print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

if len(input_str) == 25:

print('Estimert tid er 7 minutter.')

start_time = time.time()

manualInput5x5(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],

input_str[5], input_str[6], input_str[7], input_str[8], input_str[9],

input_str[10], input_str[11], input_str[12], input_str[13], input_str[14],

input_str[15], input_str[16], input_str[17], input_str[18], input_str[19],

input_str[20], input_str[21], input_str[22], input_str[23], input_str[24])

end_time = time.time() - start_time

print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

if len(input_str) == 36:

print('Estimert tid er xxxxx minutter.')

start_time = time.time()

manualInput6x6(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],

input_str[5], input_str[6], input_str[7], input_str[8], input_str[9],

input_str[10], input_str[11], input_str[12], input_str[13], input_str[14],

input_str[15], input_str[16], input_str[17], input_str[18], input_str[19],

input_str[20], input_str[21], input_str[22], input_str[23], input_str[24],

input_str[25], input_str[26], input_str[27], input_str[28], input_str[29],

input_str[30], input_str[31], input_str[32], input_str[33], input_str[34], input_str[35])

end_time = time.time() - start_time

print('\nTotal time used: '),print(round(end_time, 3)),print('\n')

# Run program, if this file is called directly. If this file is imported, this part is skipped

if __name__ == '__main__':

try:

os.system('cls||clear')

inputchar(wordDict)

except ValueError:

print(),print('ERROR:')

print('+----------------------------------------------------------------------------+')

print('| Oops! Maybe you forgot to add numbering to same type letters. Try again... |')

print('| Example: k,å,k,r,e,l,k,e,m => k1,å,k2,r,e1,l,k,e2,m |')

print('+----------------------------------------------------------------------------+')

print()

#5x5 TEST STRING

#l,m1,g,p,s1,a1,ø,n,r1,b,r2,n,a2,e1,u,d,s2,r3,e2,m2,e3,r4,e4,e5,s3

Facebook Comments

Wordbrain solver – letter permutations

18th April 2017 phobic

When you are stuck after partly solving a puzzle, there is a chance that the puzzle is solved in the wrong order. Using my path seeking algorithm might not work, since the letter are in the wrong place in the matrix. The remaining letters are however correct. This is why I made a simple program for finding all possible permutations of the remaining letter, disregarding the location. The program also compares against the Norwegian dictionary. You type in the letters and choose length of the word.

The program uses a library for permutations:

Norwegian dictionary as Python dict format: wordDict.txt

# Find all permutations of letter that forms
# a word that exist in a Norwegian dictionary
# By Karstein Kvistad @ phobic.no
# 2017

import itertools
import json

wordsFound = {}

# Import all dictionaries
wordDictStart = [0]
for i in range(1,10):
    wordDictStart.append(json.loads(open('wordDictStart'+str(i)+'.txt').read()))
wordDict = json.loads(open('wordDict.txt').read())

def pathListToString(path):
#Converts a list - ['a','b','c'] - to a string - 'abc'
    if path != None:
        temp = ''
        for item in path:
            temp+=''.join(item)
            pathString = ''.join([i for i in temp if not i.isdigit()])
        return pathString
    else:
        return []

def main():
    input_str=''
    print()
    input_str = input('Enter letters separated by *comma*:' + '\n')
    input_int = input('Enter wanted word length:' + '\n')
    input_str = [x.strip() for x in input_str.split(',')] # Strip and divide by , and put in a list
    print(input_str)
#word = (['p','e','e','r','r','t','p','n','p','s','g','e']) # DEBUG
    permWord = itertools.permutations(input_str,int(input_int))

    for word in permWord:
        stringWord = pathListToString(word)
        if stringWord in wordDict:
            wordsFound.update({stringWord:stringWord})

    print(sorted(wordsFound.keys()))

while True:
    main() # Start program

# Find all permutations of letter that forms

# a word that exist in a Norwegian dictionary

# By Karstein Kvistad @ phobic.no

# 2017

import itertools

import json

wordsFound = {}

# Import all dictionaries

wordDictStart = [0]

for i in range(1,10):

wordDictStart.append(json.loads(open('wordDictStart'+str(i)+'.txt').read()))

wordDict = json.loads(open('wordDict.txt').read())

def pathListToString(path):

#Converts a list - ['a','b','c'] - to a string - 'abc'

if path != None:

temp = ''

for item in path:

temp+=''.join(item)

pathString = ''.join([i for i in temp if not i.isdigit()])

return pathString

else:

return []

def main():

input_str=''

print()

input_str = input('Enter letters separated by *comma*:' + '\n')

input_int = input('Enter wanted word length:' + '\n')

input_str = [x.strip() for x in input_str.split(',')] # Strip and divide by , and put in a list

print(input_str)

#word = (['p','e','e','r','r','t','p','n','p','s','g','e']) # DEBUG

permWord = itertools.permutations(input_str,int(input_int))

for word in permWord:

stringWord = pathListToString(word)

if stringWord in wordDict:

wordsFound.update({stringWord:stringWord})

print(sorted(wordsFound.keys()))

while True:

main() # Start program

Terminal output:

 RESTART: /Users/phobic/Documents/Python Github/Wordbrain_solver_v2/Word_permutations.py 
Enter letters separated by *comma*:
p,e,e,r,r,t,p,n,p,s,g,e
Enter wanted word length:
6
['p', 'e', 'e', 'r', 'r', 't', 'p', 'n', 'p', 's', 'g', 'e']
['eneste', 'engste', 'genere', 'genert', 'genese', 'genser', 'gerere', 'grenet', 'grense', 'grepen', 'grepet', 'negere', 'penger', 'penser', 'pepper', 'persen', 'perser', 'prente', 'preppe', 'regent', 'regest', 'regner', 'renser', 'resept', 'senete', 'senter', 'sentre', 'septer', 'snerpe', 'snerre', 'snerte', 'sperre', 'spreng', 'stener', 'stenge', 'steppe', 'strene', 'streng', 'tegner', 'trener', 'trenge']
>>> 

 RESTART: /Users/phobic/Documents/Python Github/Wordbrain_solver_v2/Word_permutations.py 
Enter letters separated by *comma*:
p,e,e,r,r,t,p,n,p,s,g,e
Enter wanted word length:
7
['p', 'e', 'e', 'r', 'r', 't', 'p', 'n', 'p', 's', 'g', 'e']
['grenete', 'present', 'restere', 'snerpet', 'sprenge', 'stepper', 'strenge', 'terreng', 'trenere', 'trenges']

RESTART: /Users/phobic/Documents/Python Github/Wordbrain_solver_v2/Word_permutations.py

Enter letters separated by *comma*:

p,e,e,r,r,t,p,n,p,s,g,e

Enter wanted word length:

['p', 'e', 'e', 'r', 'r', 't', 'p', 'n', 'p', 's', 'g', 'e']

['eneste', 'engste', 'genere', 'genert', 'genese', 'genser', 'gerere', 'grenet', 'grense', 'grepen', 'grepet', 'negere', 'penger', 'penser', 'pepper', 'persen', 'perser', 'prente', 'preppe', 'regent', 'regest', 'regner', 'renser', 'resept', 'senete', 'senter', 'sentre', 'septer', 'snerpe', 'snerre', 'snerte', 'sperre', 'spreng', 'stener', 'stenge', 'steppe', 'strene', 'streng', 'tegner', 'trener', 'trenge']

>>>

RESTART: /Users/phobic/Documents/Python Github/Wordbrain_solver_v2/Word_permutations.py

Enter letters separated by *comma*:

p,e,e,r,r,t,p,n,p,s,g,e

Enter wanted word length:

['p', 'e', 'e', 'r', 'r', 't', 'p', 'n', 'p', 's', 'g', 'e']

['grenete', 'present', 'restere', 'snerpet', 'sprenge', 'stepper', 'strenge', 'terreng', 'trenere', 'trenges']

Facebook Comments

Wordbrain Solver – 5×5 – Brute-Force with filtering v.2

16th April 2017 phobic

Second attempt for this. The previous 5×5 code was estimated to use 12.5 days to get all possible words. Going through the code, I found some weak spots:

No control of word length. The program was traversing through words of lengths up to 25. This means extremely long paths with extremely many different variations. Reduced this to maximum traversing 9 letter words.
Checking all possible paths, even some that was unnecessary. I made a new dictionary containing all existing first-and-last letters in a Norwegian dictionary. This way, instead of checking all possible paths between example ‘z’ to ‘ø’, I can skip all these paths immediately, as no words starts and ends with these letters. This would skip 1/600th of the total time.

This reduced the solution time from 22500 minutes to around 7 minutes (!!!). The 4×4 puzzles was also reduced from 10 minutes to 40 seconds.

Implementations for next version:

Create a wordlist for all two-first and two-last characters existing from Norwegian dictionary words. This will skip even more unnecessary paths for finding words.
Add a filter for the words lengths necessary, the puzzles will show example three-letter, five-letter and nine-letter word.
Move all found words to separate dicts and make a function that deletes all words containing one letter, in cases when a word found contains the last letter of one type. This is a quick way to “thin out” the possible words.

# Solve Wordbrain puzzles
# Works for 2x2, 3x3, 4x4 and 5x5 puzzles
# By Karstein Kvistad @ phobic.no
# 2017

# Import libraries used
import json
import time

# Global variables
global start_time

# Import all dictionaries
wordDictStart = [0]
for i in range(1,10):
    wordDictStart.append(json.loads(open('wordDictStart'+str(i)+'.txt').read()))
wordDict = json.loads(open('wordDict.txt').read())

def pathListToString(path):
#Converts a list - ['a','b','c'] - to a string - 'abc'

    if path != None:
        temp = ''
        for item in path:
            temp+=''.join(item)
            pathString = ''.join([i for i in temp if not i.isdigit()])
        return pathString
    else:
        return []

def filterPaths(newpaths):
    if not newpaths == {}:
        print('Newpaths: ' + str(len(newpaths[0])) + ' ' + str(newpaths))
        #print('DEBUG: Newpath length: ' + str(len(newpath)))

        if len(newpaths[0]) > 8:
            print(str(len(newpaths[0])) + ' is longer than 8 - BREAK')
            
        if not (len(newpaths[0]) == 4 or len(newpaths[0]) == 6 or len(newpaths[0]) == 7 or len(newpaths[0]) == 8):
            print('NOT 4,6,7 or 8 - BREAK')
            

        if newpaths[0][0]+newpaths[0][1]+newpaths[0][-2]+newpaths[0][-1] not in wordDict_secondfirstLast:
            print('NOT in dict - BREAK')
            
    return path

#DEBUG: l,m1,g,p,s1,a1,ø,n1,r1,b,r2,n2,a2,e1,u,d,s2,r3,e2,m2,e3,r4,e4,e5,s3
def find_all_paths_from_to(graph, start, end, path=[], dictPaths = {}):
    path = path + [start]
    if start == end:
        return [path]
    if start not in graph:
        return []
    paths = [] # Set as Return to fix to original
    #print('DEBUG: dictPaths: ' + str(dictPaths))
    #print('DEBUG: Path: ' + str(pathListToString(path))) # Print the actual word-paths found
    if len(path) < 9:
        for node in graph[start]:
            if node not in path:
                newpaths = find_all_paths_from_to(graph, node, end, path)
                #if not (newpaths == {} or newpaths == []):
                #print('DEBUG: newpaths[0]) - '+ str(newpaths[0]))
                #print('DEBUG: newpaths - '+ str(newpaths))
                if not (str(type(newpaths)) == "<class 'dict'>"): # Filters the {} which sometimes appear
                    if (len(pathListToString(newpaths[0])) > 1):
                        for newpath in newpaths:
                            # print('DEBUG: Newpath: ' + str(len(newpath)) + ' ' + pathListToString(newpath))
                            newPathString = pathListToString(newpath)
                            i=0
                            for i in range(1,10):                       
                                if (len(newPathString) == i) and (newPathString in wordDictStart[i]) and (newPathString in wordDict):
                                    dictPaths.update({newPathString:newPathString})
                                    #print('DEBUG: This word is plausible: ' + newPathString)
    return dictPaths


def make2x2graph(pos1, pos2, pos3, pos4):
    """
    Returns a tree as dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

    pos1  -   pos2
      |   X     |
    pos3  -   pos4

    """
    return {pos1: [pos1, pos2, pos3, pos4],
            pos2: [pos2, pos4, pos3, pos1],
            pos3: [pos3, pos1, pos2, pos4],
            pos4: [pos4, pos3, pos1, pos2]}                   


def make3x3graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes
    
    pos1  -   pos2  -   pos3
    |    X     |   X     |
    pos4  -   pos5  -   pos6
    |    X     |   X     |
    pos7  -   pos8  -   pos9

    """
    return {pos1: [pos1, pos2, pos5, pos4],
            pos2: [pos2, pos3, pos6, pos5, pos4, pos1],
            pos3: [pos3, pos6, pos5, pos2],
            pos4: [pos4, pos1, pos2, pos5, pos8, pos7],
            pos5: [pos5, pos1, pos2, pos3, pos6, pos9, pos8, pos7, pos4],
            pos6: [pos6, pos2, pos3, pos9, pos8, pos5],
            pos7: [pos7, pos4, pos5, pos8],
            pos8: [pos8, pos4, pos5, pos6, pos9, pos7],
            pos9: [pos9, pos5, pos6, pos8]}


def make4x4graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

     pos1  -   pos2  -   pos3  -   pos4
      |    X     |   X     |   X     |
     pos5  -   pos6  -   pos7  -   pos8
      |    X     |   X     |   X     |
     pos9  -  pos10  -  pos11  -   pos12
      |    X     |   X     |   X     |
    pos13  -  pos14  -  pos15  -   pos16

    """
    return { pos1: [pos1, pos2, pos6, pos5],
             pos2: [pos2, pos1, pos3, pos7, pos6, pos5],
             pos3: [pos3, pos2, pos4, pos8, pos7, pos6],
             pos4: [pos4, pos3, pos8, pos7],
             pos5: [pos5, pos1, pos2, pos6, pos10, pos9],
             pos6: [pos6, pos1, pos2, pos3, pos7, pos11, pos10, pos9, pos5],
             pos7: [pos7, pos2, pos3, pos4, pos8, pos12, pos11, pos10, pos6],
             pos8: [pos8, pos3, pos4, pos12, pos11, pos7],
             pos9: [pos9, pos5, pos6, pos10, pos14, pos13],
            pos10: [pos10, pos5, pos6, pos7, pos11, pos15, pos14, pos13, pos9],
            pos11: [pos11, pos6, pos7, pos8, pos12, pos16, pos15, pos14, pos10],
            pos12: [pos12, pos7, pos8, pos16, pos15, pos11],
            pos13: [pos13, pos9, pos10, pos14],
            pos14: [pos14, pos9, pos10, pos11, pos15, pos13],
            pos15: [pos15, pos10, pos11, pos12, pos16, pos14],
            pos16: [pos16, pos11, pos12, pos15]}


def make5x5graph(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25):
    """
    Returns a dictionary with startnode as key.
    First value is same as startnode, and the rest is neighbour nodes

     pos1  -   pos2  -   pos3  -   pos4  -   pos5
      |    X     |   X     |   X     |   X     |
     pos6  -   pos7  -   pos8  -   pos9  -   pos10
      |    X     |   X     |   X     |   X     |
    pos11  -  pos12  -  pos13  -  pos14  -   pos15
      |    X     |   X     |   X     |   X     |
    pos16  -  pos17  -  pos18  -  pos19  -   pos20
      |    X     |   X     |   X     |   X     |
    pos21  -  pos22  -  pos23  -  pos24  -   pos25

    """
    return { pos1: [pos1, pos2, pos7, pos6],
             pos2: [pos2, pos1, pos3, pos8, pos7, pos6],
             pos3: [pos3, pos2, pos4, pos9, pos8, pos7],
             pos4: [pos4, pos3, pos5, pos10, pos9, pos8],
             pos5: [pos5, pos4, pos10, pos9],
             pos6: [pos6, pos1, pos2, pos7, pos12, pos12],
             pos7: [pos7, pos1, pos2, pos3, pos8, pos13, pos12, pos11, pos6],
             pos8: [pos8, pos2, pos3, pos4, pos9, pos14, pos13, pos12, pos7],
             pos9: [pos9, pos3, pos4, pos5, pos10, pos15, pos14, pos13, pos8],
            pos10: [pos10, pos4, pos5, pos15, pos14, pos9],
            pos11: [pos11, pos6, pos7, pos12, pos17, pos16],
            pos12: [pos12, pos6, pos7, pos8, pos13, pos18, pos17, pos16, pos11],
            pos13: [pos13, pos7, pos8, pos9, pos14, pos19, pos18, pos17, pos12],
            pos14: [pos14, pos8, pos9, pos10, pos15, pos20, pos19, pos18, pos13],
            pos15: [pos15, pos9, pos10, pos20, pos19, pos14],
            pos16: [pos16, pos11, pos12, pos17, pos22, pos21],
            pos17: [pos17, pos11, pos12, pos13, pos18, pos23],
            pos18: [pos18, pos12, pos13, pos14, pos19, pos24, pos23, pos22, pos17],
            pos19: [pos19, pos13, pos14, pos15, pos20, pos25, pos24, pos23, pos18],
            pos20: [pos20, pos14, pos15, pos25, pos24, pos19],
            pos21: [pos21, pos16, pos17, pos22],
            pos22: [pos22, pos16, pos17, pos18, pos23, pos21],
            pos23: [pos23, pos17, pos18, pos19, pos24, pos22],
            pos24: [pos24, pos18, pos19, pos20, pos25, pos23],
            pos25: [pos25, pos19, pos20, pos24]}


def makeEndPoints2x2(pos1, pos2, pos3, pos4):
    """
    Possible endpoints from startpoint on 2x2
    Get value with endpoints[key][item]
    """
    return {pos1: [pos1, pos2, pos3, pos4],
            pos2: [pos2, pos1, pos3, pos4],
            pos3: [pos3, pos1, pos2, pos4],
            pos4: [pos4, pos1, pos2, pos3]}


def makeEndPoints3x3(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9):
    """
    Possible endpoints from startpoint on 3x3
    First value is Start node.
    """
    return {pos1: [pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos8,pos9],
            pos2: [pos2,pos1,pos3,pos4,pos5,pos6,pos7,pos8,pos9],
            pos3: [pos3,pos1,pos2,pos4,pos5,pos6,pos7,pos8,pos9],
            pos4: [pos4,pos1,pos2,pos3,pos5,pos6,pos7,pos8,pos9],
            pos5: [pos5,pos1,pos2,pos3,pos4,pos6,pos7,pos8,pos9],
            pos6: [pos6,pos1,pos2,pos3,pos4,pos5,pos7,pos8,pos9],
            pos7: [pos7,pos1,pos2,pos3,pos4,pos5,pos6,pos8,pos9],
            pos8: [pos8,pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos9],
            pos9: [pos9,pos1,pos2,pos3,pos4,pos5,pos6,pos7,pos8]}

def makeEndPoints4x4(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16):
    """
    Possible endpoints from startpoint on 4x4
    First value is Start node.
    """
    return  { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos3: [pos3, pos1, pos2, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos4: [pos4, pos1, pos2, pos3, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos5: [pos5, pos1, pos2, pos3, pos4, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos6: [pos6, pos1, pos2, pos3, pos4, pos5, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos7: [pos7, pos1, pos2, pos3, pos4, pos5, pos6, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos8: [pos8, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
              pos9: [pos9, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos10, pos11, pos12, pos13, pos14, pos15, pos16],
             pos10: [pos10, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos11, pos12, pos13, pos14, pos15, pos16],
             pos11: [pos11, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos12, pos13, pos14, pos15, pos16],
             pos12: [pos12, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos13, pos14, pos15, pos16],
             pos13: [pos13, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos14, pos15, pos16],
             pos14: [pos14, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos15, pos16],
             pos15: [pos15, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos16],
             pos16: [pos16, pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15]}

def makeEndPoints5x5(pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25):
    """
    Possible endpoints from startpoint on 5x5
    First value is Start node.
    """
    return  { pos1: [pos1, pos2, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos2: [pos2, pos1, pos3, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos3: [pos3, pos2, pos1, pos4, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos4: [pos4, pos3, pos2, pos1, pos5, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos5: [pos5, pos4, pos3, pos2, pos1, pos6, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos6: [pos6, pos5, pos4, pos3, pos2, pos1, pos7, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos7: [pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos8, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos8: [pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos9, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
              pos9: [pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos10, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos10: [pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos11, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos11: [pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos12, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos12: [pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos13, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos13: [pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos14, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos14: [pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos15, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos15: [pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos16, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos16: [pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos17, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos17: [pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos18, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos18: [pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos19, pos20, pos21, pos22, pos23, pos24, pos25],
             pos19: [pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos20, pos21, pos22, pos23, pos24, pos25],
             pos20: [pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos21, pos22, pos23, pos24, pos25],
             pos21: [pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos22, pos23, pos24, pos25],
             pos22: [pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos23, pos24, pos25],
             pos23: [pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos24, pos25],
             pos24: [pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1, pos25],
             pos25: [pos25, pos24, pos23, pos22, pos21, pos20, pos19, pos18, pos17, pos16, pos15, pos14, pos13, pos12, pos11, pos10, pos9, pos8, pos7, pos6, pos5, pos4, pos3, pos2, pos1]}


def show2x2pathsPossible(endpoints2x2, twoGraph, start_time):
    all_paths = {}
    for item in endpoints2x2.values(): #Result: ['k1', 's', 'k2', 'o']
        path_start_time = time.time()
        #print(item)
        # item1->item2, item1->item3, item1->item4
        # i->i+1, i->i+2, i->i+3, i->i+len(item)-1
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(twoGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            #print(pathsFound)
            all_paths.update(pathsFound)
    return all_paths


def show3x3pathsPossible(endpoints3x3, threeGraph, start_time):
    all_paths = {}
    for item in endpoints3x3.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(threeGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            #print(pathsFound)
            all_paths.update(pathsFound)
    return all_paths


def show4x4pathsPossible(endpoints4x4, fourGraph, start_time):
    all_paths = {}
    for item in endpoints4x4.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(fourGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            all_paths.update(pathsFound)
            #print(pathsFound)
    return all_paths


def show5x5pathsPossible(endpoints5x5, fiveGraph, start_time):
    all_paths = {}
    for item in endpoints5x5.values():
        path_start_time = time.time()
        for i in range(1,len(item)):
            pathsFound = (find_all_paths_from_to(fiveGraph, item[0], item[i]))
            end_time = time.time() - start_time
            print('From: ' + str(item[0]) + ' to: ' + str(item[i]) + ' - Time used so far: ' + str(round(end_time, 3)))
            all_paths.update(pathsFound)
            #print('DEBUG: all_paths: ' + str(all_paths) + ' pathsFound: ' + str(pathsFound))
    return all_paths


def manualInput2x2(start_time, ch0, ch1, ch2, ch3):
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    twoGraph = make2x2graph(ch0, ch1, ch2, ch3)
    endpoints2x2 = makeEndPoints2x2(ch0, ch1, ch2, ch3)
    possibleTwo = show2x2pathsPossible(endpoints2x2, twoGraph, start_time)
    print('\n', 'Words in Wordlist:'), print(sorted(possibleTwo))
    for words in possibleTwo.keys():
        for i in range(2,10):            
            if len(words) == i:
                letter[i].update({words:words})
    print()
    for i in range(2,10):
        if not letter[i] == {}:
            print(str(i)+'-letter words: ' + str(sorted(letter[i])))

def manualInput3x3(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8):
    # Input: e,n1,g,s,n2,r,t,o,u --> 'e','n1','g','s','n2','r','t','o','u'
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    threeGraph = make3x3graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8)
    # Result: 'Startnode': ['neighbour1', 'neighbour2', 'neighbour3', 'neighbour4']
    #{'e': ['e', 'n', 'n', 's'], 'n': ['n', 'e', 'n', 'g', 'r', 'u', 'o', 't', 's'],
    # 'g': ['g', 'r', 'n', 'n'], 's': ['s', 'e', 'n', 'n', 'o', 't'],
    # 'r': ['r', 'n', 'g', 'u', 'o', 'n'], 't': ['t', 's', 'n', 'o'],
    # 'o': ['o', 's', 'n', 'r', 'u', 't'], 'u': ['u', 'n', 'r', 'o']}
    endpoints3x3 = makeEndPoints3x3(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8)
    # Result: 'Startnode': ['endpoint1', 'endpoint2', 'endpoint3', 'endpoint1', '.......']
    #{'e': ['e', 'n', 'g', 's', 'n', 'r', 't', 'o', 'u'], 'n': ['n', 'e', 'n', 'g', 's', 'r', 't', 'o', 'u'],
    # 'g': ['g', 'e', 'n', 's', 'n', 'r', 't', 'o', 'u'], 's': ['s', 'e', 'n', 'g', 'n', 'r', 't', 'o', 'u'],
    # 'r': ['r', 'e', 'n', 'g', 's', 'n', 't', 'o', 'u'], 't': ['t', 'e', 'n', 'g', 's', 'n', 'r', 'o', 'u'],
    # 'o': ['o', 'e', 'n', 'g', 's', 'n', 'r', 't', 'u'], 'u': ['u', 'e', 'n', 'g', 's', 'n', 'r', 't', 'o']}
    possibleThree = show3x3pathsPossible(endpoints3x3, threeGraph, start_time)
    print('\n', 'Words in Wordlist:'), print(sorted(possibleThree))
    for words in possibleThree.keys():
        for i in range(2,10):            
            if len(words) == i:
                letter[i].update({words:words})
    print()
    for i in range(2,10):
        if not letter[i] == {}:
            print(str(i)+'-letter words:')
            print(str(sorted(letter[i]))), print()


def manualInput4x4(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15):
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    fourGraph = make4x4graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15)
    endpoints4x4 = makeEndPoints4x4(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15)
    possibleFour = show4x4pathsPossible(endpoints4x4, fourGraph, start_time)
    print('\n', 'Words in Wordlist:'), print(sorted(possibleFour))
    for words in possibleFour.keys():
        for i in range(2,10):            
            if len(words) == i:
                letter[i].update({words:words})
    print()
    for i in range(2,10):
        if not letter[i] == {}:
            print(str(i)+'-letter words:')
            print(str(sorted(letter[i]))), print()


def manualInput5x5(start_time, ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24):
    letter = [{}]
    for n in range(0,10):
        letter.append({})
    fiveGraph = make5x5graph(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24)
    endpoints5x5 = makeEndPoints5x5(ch0, ch1, ch2, ch3, ch4, ch5, ch6, ch7, ch8, ch9, ch10, ch11, ch12, ch13, ch14, ch15, ch16, ch17, ch18, ch19, ch20, ch21, ch22, ch23, ch24)
    possibleFive = show5x5pathsPossible(endpoints5x5, fiveGraph, start_time)
    print('\n', 'Words in Wordlist:'), print(sorted(possibleFive))
    for words in possibleFive.keys():
        for i in range(2,10):            
            if len(words) == i:
                letter[i].update({words:words})
    print()
    for i in range(2,10):
        if not letter[i] == {}:
            print(str(i)+'-letter words:')
            print(str(sorted(letter[i]))), print()


def inputchar(wordDict):
    char = []
    print('Skriv inn dine bokstaver adskilt med *komma*:')
    input_str = input('Legg til nummerering på like bokstaver (n1, r, n2...)' + '\n')

    input_str = [x.strip() for x in input_str.split(',')]       # Strip and divide by , and put in a list
    print(input_str)

    if len(input_str) == 4:
        start_time = time.time()
        manualInput2x2(start_time, input_str[0], input_str[1], input_str[2], input_str[3])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')
        input_str=''

    if len(input_str) == 9:
        start_time = time.time()
        manualInput3x3(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],
                       input_str[5], input_str[6], input_str[7], input_str[8])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')
        input_str=''

    if len(input_str) == 16:
        print('Estimert tid er 40 sekunder.')
        start_time = time.time()
        manualInput4x4(start_time, input_str[0], input_str[1], input_str[2], input_str[3],
                       input_str[4], input_str[5], input_str[6], input_str[7],
                       input_str[8], input_str[9], input_str[10], input_str[11],
                       input_str[12], input_str[13], input_str[14], input_str[15])
        end_time= time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')
        input_str=''

    if len(input_str) == 25:
        print('Estimert tid er 7 minutter.')
        start_time = time.time()
        manualInput5x5(start_time, input_str[0], input_str[1], input_str[2], input_str[3], input_str[4],
                        input_str[5], input_str[6], input_str[7], input_str[8], input_str[9],
                        input_str[10], input_str[11], input_str[12], input_str[13], input_str[14],
                        input_str[15], input_str[16], input_str[17], input_str[18], input_str[19],
                        input_str[20], input_str[21], input_str[22], input_str[23], input_str[24])
        end_time = time.time() - start_time
        print('\nTotal time used: '),print(round(end_time, 3)),print('\n')
        input_str=''
        

# Run program
while True:
    try:
        inputchar(wordDict)
    except ValueError:
        print(),print('ERROR:')
        print('+----------------------------------------------------------------------------+')
        print('| Oops! Maybe you forgot to add numbering to same type letters. Try again... |')
        print('| Example: k,å,k,r,e,l,k,e,m => k1,å,k2,r,e1,l,k,e2,m                        |')
        print('+----------------------------------------------------------------------------+')
        print()

#l,m1,g,p,s1,a1,ø,n,r1,b,r2,n,a2,e1,u,d,s2,r3,e2,m2,e3,r4,e4,e5,s3

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# Solve Wordbrain puzzles

# Works for 2x2, 3x3, 4x4 and 5x5 puzzles