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203 changes: 203 additions & 0 deletions 8Puzzle_A_Star.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,203 @@
board = [['2', '8', '3'], ['1', '6', '4'], ['7', '-', '5']]
empty = [0, 1, 2, 3, 4, 5, 6, 7, 8]
final = [['1', '2', '3'], ['8', '-', '4'], ['7', '6', '5']]
path_cost = 0
queue = []
ll = []
h = {}
count = 0


def display(work):
global count
count = count + 1
print(f"\n\n{count} :\n")
print(' | | ')
print(work[0][0] + ' | ' + work[0][1] + ' | ' + work[0][2])
print(' | | ')
print('---------')
print(' | | ')
print(work[1][0] + ' | ' + work[1][1] + ' | ' + work[1][2])
print(' | | ')
print('---------')
print(' | | ')
print(work[2][0] + ' | ' + work[2][1] + ' | ' + work[2][2])
print(' | | ')


def check_win(work, final):
# print("Check win Work:")
# print(work)
for i in range(0, 3):
for j in range(0, 3):
# print (f"A : {work[i][j]} B : {final[i][j]}")
if work[i][j] != final[i][j]:
return 0
return 1


def move_up(work):
new_board = [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
for i in range(0, 3):
for j in range(0, 3):
new_board[i][j] = work[i][j]
x = 0
y = 0
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = i
y = j
break
if x - 1 >= 0:
temp = new_board[x - 1][y]
new_board[x - 1][y] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def move_down(work):
new_board = [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
for i in range(0, 3):
for j in range(0, 3):
new_board[i][j] = work[i][j]
x = 0
y = 0
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = i
y = j
break
if x + 1 <= 2:
temp = new_board[x + 1][y]
new_board[x + 1][y] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def move_left(work):
new_board = [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
for i in range(0, 3):
for j in range(0, 3):
new_board[i][j] = work[i][j]
x = 0
y = 0
# print("New Board")
# print(new_board)
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = i
y = j
break
if y - 1 >= 0:
temp = new_board[x][y - 1]
new_board[x][y - 1] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def move_right(work):
new_board = [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
for i in range(3):
# print("uu")
for j in range(3):
new_board[i][j] = work[i][j]
x = 0
y = 0
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = int(i)
y = int(j)
break
# print(f"I:{x} J:{y}")
if y + 1 <= 2:
temp = new_board[x][y + 1]
new_board[x][y + 1] = '-'
new_board[x][y] = temp
# print("pp")
# display(new_board)
return new_board
else:
return 0


def heuristic(new_board):
global path_cost
hn = 0
x = 0
y = 0
for i in range(3):
for j in range(3):
for p in range(3):
for q in range(3):
if new_board[i][j] != '-':
if new_board[i][j] == final[p][q]:
x = p
y = q
hn = hn + abs(x - i) + abs(y - j)
hn = hn + path_cost

return hn


def start(board):
global h
global path_cost
path_cost = path_cost + 1
# print(check_win())
if check_win(board, final) == 1:
return 1
new_board = move_right(board)
if new_board != 0:
display(new_board)
queue.append(new_board)
ll.append(heuristic(new_board))
if check_win(new_board, final) == 1:
return 1
new_board = move_up(board)
if new_board != 0:
display(new_board)
queue.append(new_board)
ll.append(heuristic(new_board))
if check_win(new_board, final) == 1:
return 1
new_board = move_left(board)
if new_board != 0:
display(new_board)
queue.append(new_board)
ll.append(heuristic(new_board))
if check_win(new_board, final) == 1:
return 1
new_board = move_down(board)
if new_board != 0:
display(new_board)
queue.append(new_board)
ll.append(heuristic(new_board))
if check_win(new_board, final) == 1:
return 1
minn = 1000000
ct = 0
for i in ll:
if i <= minn:
minn = i
board = queue[ct]
ct = ct + 1
queue.clear()
ll.clear()
#print(f"Board Sent : {board}")
start(board)

#print("Initial State is :")
print("\n\n~~~~~~~ E-39 Gaurav Kedia ~~~~~")
print("~~ 8 Puzzle Problem using BFS ~~\n")
display(board)
start(board)
164 changes: 164 additions & 0 deletions 8_Puzzle_Problem.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,164 @@
board = [['2', '8', '3'], ['1', '6', '4'], ['7', '-', '5']]
empty = [0, 1, 2, 3, 4, 5, 6, 7, 8]
final = [['1', '2', '3'], ['8', '-', '4'], ['7', '6', '5']]
# flag = True
queue = []
count = 0



def display(work):
global count
count = count+1
print(f"\n\n{count} :\n")
print(' | | ')
print(work[0][0] + ' | ' + work[0][1] + ' | ' + work[0][2])
print(' | | ')
print('---------')
print(' | | ')
print(work[1][0] + ' | ' + work[1][1] + ' | ' + work[1][2])
print(' | | ')
print('---------')
print(' | | ')
print(work[2][0] + ' | ' + work[2][1] + ' | ' + work[2][2])
print(' | | ')


def check_win(work, final):
for i in range(0, 3):
for j in range(0, 3):
if work[i][j] != final[i][j]:
return 0
return 1


def move_up(work):
new_board = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(0, 3):
for j in range(0, 3):
new_board[i][j] = work[i][j]
x = 0
y = 0
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = i
y = j
break
if x - 1 >= 0:
temp = new_board[x - 1][y]
new_board[x - 1][y] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def move_down(work):
new_board = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(0, 3):
for j in range(0, 3):
new_board[i][j] = work[i][j]
x = 0
y = 0
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = i
y = j
break
if x + 1 <= 2:
temp = new_board[x + 1][y]
new_board[x + 1][y] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def move_left(work):
new_board = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(0, 3):
for j in range(0, 3):
new_board[i][j] = work[i][j]
x = 0
y = 0
#print("New Board")
#print(new_board)
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = i
y = j
break
if y - 1 >= 0:
temp = new_board[x][y - 1]
new_board[x][y - 1] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def move_right(work):
new_board = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(3):
for j in range(3):
new_board[i][j] = work[i][j]
x = 0
y = 0
for i in range(0, 3):
for j in range(0, 3):
if new_board[i][j] == '-':
x = int(i)
y = int(j)
break
if y + 1 <= 2:
temp = new_board[x][y + 1]
new_board[x][y + 1] = '-'
new_board[x][y] = temp
return new_board
else:
return 0


def start(board, final):
print("\n\n~~~~~~~ E-39 Gaurav Kedia ~~~~~")
print("~~ 8 Puzzle Problem using BFS ~~\n")
print("Initial State is :")
display(board)
flag = True
while flag:
if len(queue) == 0:
if check_win(board, final) == 1:
return 1
if len(queue) == 0:
work = board
else:
work = queue.pop(0)
new_board = move_right(work)
if new_board != 0:
display(new_board)
queue.append(new_board)
if check_win(new_board, final) == 1:
return 1
new_board = move_up(work)
if new_board != 0:
display(new_board)
queue.append(new_board)
if check_win(new_board, final) == 1:
return 1
new_board = move_left(work)
if new_board != 0:
display(new_board)
queue.append(new_board)
if check_win(new_board, final) == 1:
return 1
new_board = move_down(work)
if new_board != 0:
display(new_board)
queue.append(new_board)
if check_win(new_board, final) == 1:
return 1

start(board, final)