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main.py
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board = [
[7,8,0,4,0,0,1,2,0],
[6,0,0,0,7,5,0,0,9],
[0,0,0,6,0,1,0,7,8],
[0,0,7,0,4,0,2,6,0],
[0,0,1,0,5,0,9,3,0],
[9,0,4,0,6,0,0,0,5],
[0,7,0,3,0,0,0,1,2],
[1,2,0,0,0,7,4,0,0],
[0,4,9,2,0,6,0,0,7]
]
def solve(bo): #backtracking algortithm
find = find_empty(bo)
if not find:
return True
else:
row,col = find
for i in range(1,10):
if valid(bo,i,(row,col)):
bo[row][col] = i
if solve(bo):
return True
bo[row][col] = 0
return False
def valid(bo, num, pos): #checks if number is present in row/col already
for i in range(len(bo[0])): #row checker
if bo[pos[0]][i] == num and pos[1] != 1:
return False
for i in range(len(bo)): #column checker
if bo[i][pos[1]] == num and pos[0] != i:
return False
box_x = pos[1] // 3
box_y = pos[0] // 3
for i in range(box_y * 3, box_y * 3 + 3):
for j in range(box_x * 3, box_x * 3 + 3):
if bo[i][j] == num and (i,j) != pos:
return False
return True
def print_board(bo):
for i in range(len(bo)):
if i % 3 == 0 and i != 0:
print("-------------------") #seperates grids uniformly
for j in range(len(bo[0])):
if j % 3 == 0 and j != 0:
print("|",end="")
if j == 8:
print(bo[i][j])
else:
print(str(bo[i][j]) + " ",end="")
def find_empty(bo): #empty squares with value as 0
for i in range(len(bo)):
for j in range(len(bo[0])):
if bo[i][j] == 0:
return (i , j) #row,col
return None
print_board(board)
solve(board)
print("-------------------")
print_board(board)