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 | from random import random
 def is_same(a : list, b : list, mode : int) -> bool:
 """
 find out wether two board are same
 """
 for i in range(mode+2):
 for j in range(mode+2):
 if(a[i][j] != b[i][j]):
 return False
 return True
 
 def limt_rand(lst : list) -> int:
 """
 this function choose the number from a to b-1 randomly that is in list
 """
 rand_variale = 0
 ans = 0
 rand_variale = int(random()*len(lst))
 ans = lst[rand_variale]
 lst.remove(ans)
 return ans
 
 def print_board(board : list, mode : int) -> None:
 """
 print the board for 3*3 (mode 1) and 4*4 (mode 2) puzzle
 """
 value = 0
 print()
 for i in range(mode+2):
 for j in range(mode+2):
 value = board[i][j]
 if(value != 0):
 if(value < 10):
 print('0', value, end = ' ', sep = '')
 else:
 print(value, end = ' ')
 else:
 print(' ', end = '  ')
 print()
 print()
 return
 
 def movement(zero_position : tuple[int], board : list, type : str) -> tuple[int]:
 """
 the movement if you have determined what situation you need
 """
 zero = board[zero_position[0]][zero_position[1]]
 tile1 = 0
 if(type == 'l'):
 tile1 = board[zero_position[0]][zero_position[1] - 1]
 board[zero_position[0]][zero_position[1] - 1] = zero
 board[zero_position[0]][zero_position[1]] = tile1
 return (zero_position[0], zero_position[1] - 1)
 elif(type == 'r'):
 tile1 = board[zero_position[0]][zero_position[1] + 1]
 board[zero_position[0]][zero_position[1] + 1] = zero
 board[zero_position[0]][zero_position[1]] = tile1
 return (zero_position[0], zero_position[1] + 1)
 elif(type == 'u'):
 tile1 = board[zero_position[0] - 1][zero_position[1]]
 board[zero_position[0] - 1][zero_position[1]] = zero
 board[zero_position[0]][zero_position[1]] = tile1
 return (zero_position[0] - 1, zero_position[1])
 elif(type == 'd'):
 tile1 = board[zero_position[0] + 1][zero_position[1]]
 board[zero_position[0] + 1][zero_position[1]] = zero
 board[zero_position[0]][zero_position[1]] = tile1
 return (zero_position[0] + 1, zero_position[1])
 else:
 print("\ninvalid input, plz enter again!\n")
 return zero
 
 def operate(zero_position : tuple[int], board : list, mode : int,
 l : str, r : str, u : str, d : str, total_steps : int) -> tuple:
 """
 test where the tile can go
 the return value is an integer that represent:
 0:no limits, 1:left_limit, 2:righ_limit, 3:up_limit, 4:down_limit,
 5:left_up limit, 6:right_up limit, 7:left_down limit, 8:right_down limit
 and do the operation for each term.
 finally, return the new_zero tile
 """
 print_board(board, mode)
 size = len(board[0])-1
 total_steps += 1
 ipt = 0
 if((zero_position[0] == 0) and (zero_position[1] != 0) and (zero_position[1] != size)):
 ipt = input("Enter your move (left-"+ l +", right-"+ r +", down-"+ d +") > ")
 if(ipt == l):
 return (movement(zero_position, board,'l'),total_steps)
 elif(ipt == r):
 return (movement(zero_position, board, 'r'),total_steps)
 elif(ipt == d):
 return (movement(zero_position, board, 'd'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[1] == 0) and (zero_position[0] != 0) and (zero_position[0] != size)):
 ipt = input("Enter your move (right-"+ r +", up-"+ r +",down-"+ d +") > ")
 if(ipt == r):
 return (movement(zero_position, board, 'r'),total_steps)
 elif(ipt == u):
 return (movement(zero_position, board, 'u'),total_steps)
 elif(ipt == d):
 return (movement(zero_position, board, 'd'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[0] == size) and (zero_position[1] !=0) and(zero_position[1] != size)):
 ipt = input("Enter your move (left-"+ l +", right-"+ r +", up-"+ u +") > ")
 if(ipt == l):
 return (movement(zero_position, board,'l'),total_steps)
 elif(ipt == r):
 return (movement(zero_position, board, 'r'),total_steps)
 elif(ipt == u):
 return (movement(zero_position, board, 'u'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[1] == size) and (zero_position[0] != 0) and (zero_position[0] != size)):
 ipt = input("Enter your move (left-"+ l +", up-"+ u +", down-"+ d +") > ")
 if(ipt == l):
 return (movement(zero_position, board,'l'),total_steps)
 elif(ipt == u):
 return (movement(zero_position, board, 'u'),total_steps)
 elif(ipt == d):
 return (movement(zero_position, board, 'd'),total_steps)
 else:
 total_steps -=1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[0] == 0) and (zero_position[1] == 0)):
 ipt = input("Enter your move (right-"+ r +", down-"+ d +") > ")
 if(ipt == r):
 return (movement(zero_position, board,'r'),total_steps)
 elif(ipt == d):
 return (movement(zero_position, board, 'd'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[0] == size) and (zero_position[1] == 0)):
 ipt = input("Enter your move (right-"+ r +", up-"+ r +") > ")
 if(ipt == r):
 return (movement(zero_position, board,'r'),total_steps)
 elif(ipt == u):
 return (movement(zero_position, board, 'u'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[0] == 0) and (zero_position[1] == size)):
 ipt = input("Enter your move (left-"+ l +", down-"+ d +") > ")
 if(ipt == l):
 return (movement(zero_position, board,'l'),total_steps)
 elif(ipt == d):
 return (movement(zero_position, board, 'd'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 elif((zero_position[0] == size) and (zero_position[1] == size)):
 ipt = input("Enter your move (left-"+ l +", up-"+ u +") > ")
 if(ipt == l):
 return (movement(zero_position, board,'l'),total_steps)
 elif(ipt == u):
 return (movement(zero_position, board, 'u'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 else:
 ipt = input("Enter your move (left-"+ l +", right-"+ r +", up-"+ u +", down-"+ d +") > ")
 if(ipt == l):
 return (movement(zero_position, board, 'l'),total_steps)
 elif(ipt == r):
 return (movement(zero_position, board,'r'),total_steps)
 elif(ipt == u):
 return (movement(zero_position, board, 'u'),total_steps)
 elif(ipt == d):
 return (movement(zero_position, board, 'd'),total_steps)
 else:
 total_steps -= 1
 print("\ninvalid input, plz enter again!\n")
 return (zero_position, total_steps)
 
 def is_valid(test : list[int], zero_position : tuple[int], mod : int) -> bool:
 """
 test whether the game is valid
 true for valid, false for invalid
 """
 ans = 0
 for i in range(len(test)):
 for j in range(i+1,len(test)):
 if(test[j] < test[i]):
 ans+=1
 if(mod == 1):
 if((ans % 2) == 0):
 return True
 else:
 return False
 else:
 if((ans % 2) == 0):
 if(((zero_position[0] - 3) % 2) == 0):
 return True
 else:
 return False
 else:
 if(((zero_position[0] - 3) % 2) != 0):
 return True
 else:
 return False
 
 def eight_tile_generator() -> tuple:
 """
 generate 8 tiles mode
 """
 test = [0]*9
 is_first = True
 lst = []
 zero_position = (2,2)
 pointor = 0
 board = []
 while(not is_valid(test, zero_position, 1) or is_first):
 test = [0]*8
 pointor = 0
 lst=[0,1,2,3,4,5,6,7,8]
 board = [[0,0,0],
 [0,0,0],
 [0,0,0]]
 for i in range(3):
 for j in range(3):
 ans = limt_rand(lst)
 board[i][j] = ans
 if(ans != 0):
 test[pointor] = ans
 pointor += 1
 if(ans == 0):
 zero_position = (i,j)
 is_first = False
 return (board, zero_position)
 
 
 def fifteen_tile_generator() -> tuple:
 """
 generate 15 tiles mode
 """
 is_first = True
 zero_position = (3,3)
 test = [0]*16
 lst = []
 board = []
 ans = 0
 while(not is_valid(test, zero_position, 2) or is_first):
 lst=[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
 board = [[0,0,0,0],
 [0,0,0,0],
 [0,0,0,0],
 [0,0,0,0]]
 test = [0]*15
 pointor = 0
 for i in range(4):
 for j in range(4):
 ans = limt_rand(lst)
 board[i][j] = ans
 if(ans != 0):
 test[pointor] = ans
 pointor += 1
 if(ans == 0):
 zero_position = (i,j)
 is_first = False
 return (board, zero_position)
 
 def mode_1(l : str, r : str, u : str, d : str, total_steps : int) -> None:
 """
 mode for 8 tiles
 """
 board, zero_position = eight_tile_generator()
 final = [[0,0,0],
 [0,0,0],
 [0,0,0]]
 poiner = 1
 for i in range(3):
 for j in range(3):
 final[i][j] = poiner
 poiner+=1
 final[2][2] = 0
 while(not is_same(board,final,1)):
 zero_position, total_steps = operate(zero_position, board, 1, l, r, u, d, total_steps)
 print("\nstep : %d" %total_steps)
 print_board(board,1)
 print("\n////////////  well done!, total steps : " + str(total_steps) +" ///////////\n")
 
 
 def mode_2(l : str, r : str, u : str, d : str, total_steps : int) -> None:
 """
 mode for 15 tiles
 """
 board, zero_position = fifteen_tile_generator()
 final = [[0,0,0,0],
 [0,0,0,0],
 [0,0,0,0],
 [0,0,0,0]]
 poiner = 1
 for i in range(4):
 for j in range(4):
 final[i][j] = poiner
 poiner+=1
 final[3][3] = 0
 while(not is_same(board,final,2)):
 zero_position, total_steps = operate(zero_position, board, 2, l, r, u, d, total_steps)
 print("\nstep : %d" %total_steps)
 print_board(board,2)
 print("\n////////////  well done! total steps : " + str(total_steps) + "  ///////////\n")
 
 def main() -> None:
 mode_name = ''
 total_steps = 0
 mode_name = 0
 print("""
 Welcome to Kinley’s puzzle game, you will be prompted to choose playing mode,
 8-number mode(mode 1) or 15-number mode(mode 2):
 An 8-number puzzle has a square-framed board consisting of 8 square tiles, numbered 1 to 8,
 initially placed in random order,
 while a 15-number puzzle there are 15 numbered square tiles, from 1 to 15.
 The game board has an empty space where one of adjacent tilesslides to.
 The objective of the game is to re-arrange the tiles into a sequential order by their numbers
 (left to right, top to bottom) by repeatedly making sliding moves (left, right, up or down).
 The following figure shows an example of one 8-number puzzle where “INITIAL” is the starting point of the game,
 and the player needs to repeatedly slide one adjacent tile, one at a time, to the unoccupied space (the empty space)
 until all numbers appear sequentially, ordered from left to right, top to bottom, shown as “FINAL”.
 """)
 while(True):
 total_steps = 0
 mode_name = input("Enter “1” for 8-puzzle, “2” for 15-puzzle or “q” to end the game > ")
 l,r,u,d = 'l','r','u','d'
 correct_input = True
 if(mode_name == 'q'):
 return
 elif(mode_name == '1'):
 correct_input = False
 while(not correct_input):
 try:
 l,r,u,d= input("plz enter letter represent left, right, up ,down > ")
 correct_input = True
 if(l == r or l ==u or l == d or r == u or r == d or u == d):
 
 correct_input = False
 print("don't use same letter !")
 else:
 print("reminder: left-" + l + ", right-" + r + ", up-" + u + ", down-" + d)
 except:
 print("invalid input, plz do not use anything to divide 4 leters, eg: 'lrud'")
 mode_1(l,r,u,d, total_steps)
 elif(mode_name == '2'):
 correct_input = False
 while(not correct_input):
 try:
 l,r,u,d= input("plz enter letter represent left, right, up ,down > ")
 correct_input = True
 print("reminder: left-" + l + ", right-" + r + ", up-" + u + ", down-" + d)
 except:
 print("invalid input, plz do not use anything to divide 4 leters, eg: 'lrud'")
 mode_2(l,r,u,d, total_steps)
 else:
 print(" invalid input, plz enter again!")
 continue
 
 main()
 
 |