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| 1 | +import random # imports random to pick random numbers and shuffle cells |
| 2 | +import sys # calls sys.exit() so program can end whenver user quits |
| 3 | +# function to print the board |
| 4 | +def print_board(board): |
| 5 | + ''' |
| 6 | + displays 9*9 board in a formatted grid |
| 7 | + with lines separating 3*3 subgrids basically 2d list board 9*9 |
| 8 | + ''' |
| 9 | + for i in range(9): |
| 10 | + if i % 3 == 0 and i != 0: |
| 11 | + print("- - - - - - - - - - - - - - -") |
| 12 | + ''' |
| 13 | + every time i is a multiple of 3 it print horizontal seperator |
| 14 | + this is row index or used for maing row |
| 15 | + ''' |
| 16 | + for j in range(9): |
| 17 | + ''' |
| 18 | + every time j is multiple of 3, we print vertical bars without |
| 19 | + for coloumns |
| 20 | + ''' |
| 21 | + if j % 3 == 0 and j != 0: |
| 22 | + print("|", end=" ") |
| 23 | + print(board[i][j] if board[i][j] != 0 else ".", end=" ") |
| 24 | + # prints cells value if nonzero otherwise . to make empty cell |
| 25 | + # on the same line end=" " |
| 26 | + print() # for moving to next line |
| 27 | + |
| 28 | +# function to find an empty cell in board |
| 29 | +def find_empty(board):# searches the grid |
| 30 | + for i in range(9): |
| 31 | + for j in range(9): |
| 32 | + # used for scanning every row i and every col j to look for 0(indicates empty) |
| 33 | + if board[i][j] == 0: |
| 34 | + return (i, j) # returns row and col as soon as it finds empty |
| 35 | + return None |
| 36 | + |
| 37 | +# function to check if placing num at pos is valid |
| 38 | +def is_valid(board, num, pos):# check if you can place a number at row or col |
| 39 | + row, col = pos |
| 40 | + if any(board[row][i] == num for i in range(9) if i != col): #scaNS row for duplicates |
| 41 | + return False |
| 42 | + if any(board[i][col] == num for i in range(9) if i != row): # scans entire col for duplicates |
| 43 | + return False |
| 44 | + box_row = (row // 3) * 3 |
| 45 | + box_col = (col // 3) * 3 |
| 46 | + for i in range(box_row, box_row + 3): |
| 47 | + for j in range(box_col, box_col + 3): |
| 48 | + if board[i][j] == num and (i, j) != pos: |
| 49 | + return False # if num appears somewhere else move illegal |
| 50 | + return True # if not true |
| 51 | + |
| 52 | +# Backtracking solver |
| 53 | +def solve_board(board): |
| 54 | + # here function find empty and is valid is used |
| 55 | + # to fill the board , it tries all numbers from 1 to 9 at each empty cell and proceeds only if valid |
| 56 | + empty = find_empty(board) |
| 57 | + if not empty: |
| 58 | + return True |
| 59 | + row, col = empty |
| 60 | + for num in range(1, 10): |
| 61 | + if is_valid(board, num, (row, col)): |
| 62 | + board[row][col] = num |
| 63 | + if solve_board(board): |
| 64 | + return True |
| 65 | + board[row][col] = 0 |
| 66 | + return False |
| 67 | + |
| 68 | +def count_solutions(board): |
| 69 | + # counts all possible ways to create or complete the solutuion |
| 70 | + # no empty you found sol and returns 1 |
| 71 | + # and finds total num of solution and stores in count |
| 72 | + empty = find_empty(board) |
| 73 | + if not empty: |
| 74 | + return 1 |
| 75 | + row, col = empty |
| 76 | + count = 0 |
| 77 | + for num in range(1, 10): |
| 78 | + if is_valid(board, num, (row, col)): |
| 79 | + board[row][col] = num |
| 80 | + count += count_solutions(board) |
| 81 | + board[row][col] = 0 |
| 82 | + return count |
| 83 | + |
| 84 | +def create_board(removals=30): |
| 85 | + # creates an empty board |
| 86 | +# num cell is used to choose difficulty |
| 87 | +# here removal check that only 1 unique sol remains using count_solutions |
| 88 | + board = [[0]*9 for _ in range(9)] |
| 89 | + solve_board(board) |
| 90 | + removed = 0 |
| 91 | + while removed < removals: |
| 92 | + r = random.randrange(9) |
| 93 | + c = random.randrange(9) |
| 94 | + if board[r][c] != 0: |
| 95 | + temp = board[r][c] |
| 96 | + board[r][c] = 0 |
| 97 | + copy = [row[:] for row in board] |
| 98 | + if count_solutions(copy) != 1: |
| 99 | + board[r][c] = temp |
| 100 | + else: |
| 101 | + removed += 1 |
| 102 | + return board |
| 103 | + |
| 104 | +def is_complete(board): |
| 105 | + return all(cell != 0 for row in board for cell in row) |
| 106 | + # returns if every cell in grid is non zero |
| 107 | + |
| 108 | +def get_input(prompt): |
| 109 | + while True: |
| 110 | + inp = input(prompt) |
| 111 | + if inp.lower() == 'q': # q to exit the program |
| 112 | + sys.exit("Goodbye!") |
| 113 | + if inp.isdigit() and 1 <= int(inp) <= 9: |
| 114 | + return int(inp) - 1 |
| 115 | + print("Invalid input. Enter 1-9 or 'q'.") |
| 116 | + |
| 117 | +def player_turn(board): |
| 118 | + print("\n your move:") |
| 119 | + print_board(board) |
| 120 | + while True: |
| 121 | + row = get_input("Enter row (1-9) or 'q' to quit: ") |
| 122 | + col = get_input("Enter column (1-9) or 'q' to quit: ") |
| 123 | + if board[row][col] == 0: |
| 124 | + break |
| 125 | + print("choose another, cell already filled") |
| 126 | + while True: |
| 127 | + num = get_input("Enter number (1-9) or 'q' to quit: ") + 1 |
| 128 | + if is_valid(board, num, (row, col)): |
| 129 | + board[row][col] = num |
| 130 | + break |
| 131 | + print("invalid try again") |
| 132 | + |
| 133 | +def computer_turn(board): |
| 134 | + print("\nComputer's move:") |
| 135 | + print_board(board) |
| 136 | + empties = [(i, j) for i in range(9) for j in range(9) if board[i][j] == 0] |
| 137 | + random.shuffle(empties) |
| 138 | + for row, col in empties: |
| 139 | + for num in range(1, 10): |
| 140 | + if is_valid(board, num, (row, col)): |
| 141 | + board[row][col] = num |
| 142 | + if count_solutions([r[:] for r in board]) == 1: |
| 143 | + print(f"Computer placed {num} at ({row+1},{col+1})") |
| 144 | + return |
| 145 | + board[row][col] = 0 |
| 146 | + print("computer gives up. multiple solutions possible.") |
| 147 | + |
| 148 | +if __name__ == "__main__": |
| 149 | + puzzle = create_board(removals=30) |
| 150 | + while True: |
| 151 | + player_turn(puzzle) |
| 152 | + cont = input("\nPress 't' if tired and let computer solve it, any other key to continue: ") |
| 153 | + if cont.lower() == 't': |
| 154 | + solve_board(puzzle) |
| 155 | + print_board(puzzle) |
| 156 | + print("\n Computer has solved the rest of the puzzle :(( Game over.") |
| 157 | + break |
| 158 | + if is_complete(puzzle): |
| 159 | + print_board(puzzle) |
| 160 | + print("Congratulations! You solved it!!!!") |
| 161 | + break |
| 162 | + computer_turn(puzzle) |
| 163 | + if is_complete(puzzle): |
| 164 | + print_board(puzzle) |
| 165 | + print("Computer solved it!! You lose!!!!") |
| 166 | + break |
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