如何调整按钮的像素大小？ （Tkinter的）

Question

我在Python Tkinter中制作Tic Tac Toe游戏，但按钮是矩形，我希望它们的大小都是100x100像素。我尝试使用：

a1 = Button(root, text="", font="Helvetica 16 bold", command=a1, height=10, width=10)

（忽略空字符串和a1）然后它不会将其调整为正方形。我已经编写了大部分代码，并且不想使用框架来调整它们的大小。我该怎么办？

Answer 1

一种简单的方法是为按钮提供不可见的1x1像素图像。执行此操作时，width和height属性将被解释为像素（或更准确地说，屏幕单位，这也可能意味着点，英寸或厘米）。< / p>

如果这样做，您可以将compound设置为值“c”，表示该按钮应同时显示文本和图像，两者都在窗口中心。

例如：

import Tkinter as tk
...
pixel = tk.PhotoImage(width=1, height=1)
button = tk.Button(root, text="", image=pixel, width=100, height=100, compound="c")
...

Answer 2

我希望确保按钮是特定大小（以像素为单位）的方法是将该按钮放在框架内，并确保将框架设置为特定尺寸，并将按钮设置为填充该框架。 / p>

这可以轻松转换为在您的程序中工作，并确保按钮设置为100 x 100。

这是我所知道的唯一方法，以确保按钮的大小（以像素为单位）。可能还有其他选择。

首先我们需要2个清单。一个用于固定框架，一个用于固定按钮。这将允许我们以一种简单的方式存储框架和按钮，以便我们以后使用。

frames_list = []
btn_list = []

我不确定如何压缩你的check_win()函数，所以我只会对它进行一些小改动，以便它可以与列表一起使用。我们需要将a1，a2，a3等每个实例替换为按钮列表中的对应项，并使用for循环创建索引值

def check_win():
    # Horizontal wins
    if btn_list[0]["text"] == btn_list[1]["text"] == btn_list[2]["text"] == "X" or btn_list[0]["text"] == btn_list[1]["text"] == btn_list[2]["text"] == "O":
        print("{} wins".format(btn_list[0]["text"]))
    elif btn_list[3]["text"] == btn_list[4]["text"] == btn_list[5]["text"] == "X" or btn_list[3]["text"] == btn_list[4]["text"] == btn_list[5]["text"] == "O":
        print("{} wins".format(btn_list[3]["text"]))
    elif btn_list[6]["text"] == btn_list[7]["text"] == btn_list[8]["text"] == "X" or btn_list[6]["text"] == btn_list[7]["text"] == btn_list[8]["text"] == "O":
        print("{} wins".format(btn_list[6]["text"]))

    # Vertical wins
    elif btn_list[0]["text"] == btn_list[3]["text"] == btn_list[6]["text"] == "X" or btn_list[0]["text"] == btn_list[3]["text"] == btn_list[6]["text"] == "O":
        print("{} wins".format(btn_list[0]["text"]))
    elif btn_list[1]["text"] == btn_list[4]["text"] == btn_list[7]["text"] == "X" or btn_list[1]["text"] == btn_list[4]["text"] == btn_list[7]["text"] == "O":
        print("{} wins".format(btn_list[1]["text"]))
    elif btn_list[2]["text"] == btn_list[5]["text"] == btn_list[8]["text"] == "X" or btn_list[2]["text"] == btn_list[5]["text"] == btn_list[8]["text"] == "O":
        print("{} wins".format(btn_list[2]["text"]))

    # Diagonal wins
    elif btn_list[0]["text"] == btn_list[4]["text"] == btn_list[8]["text"] == "X" or btn_list[0]["text"] == btn_list[4]["text"] == btn_list[8]["text"] == "O":
        print("{} wins".format(btn_list[0]["text"]))
    elif btn_list[2]["text"] == btn_list[4]["text"] == btn_list[6]["text"] == "X" or btn_list[2]["text"] == btn_list[4]["text"] == btn_list[6]["text"] == "O":
        print("{} wins".format(btn_list[2]["text"]))

    # If no one wins
    else:
        change_turn()

然后我们需要更改process_turn()函数以包含按钮列表中每个按钮的索引值，所以像这样添加一个参数。

def process_turn(ndex): # index argument being sent by buttons
    btn_list[ndex].config(text=turn) # changed text at index of list.
    check_win()

最后，我们需要在命令中创建具有正确索引的所有按钮，我们可以使用for循环执行此操作。好2循环。

第一个循环将启动行计数，第二个for循环将启动列计数。这创造了我们3乘3的网格。 ndex变量用于跟踪每个按钮需要在按钮列表上配置的索引。

def create_frames_and_buttons():
    ndex = 0
    i = 0
    x = 0
    for i in range(3):
        for x in range(3):
            frames_list.append(Frame(root, width = 100, height = 100))
            frames_list[ndex].propagate(False)
            frames_list[ndex].grid(row = i, column = x, sticky = "nsew", padx = 2, pady = 2) # add any padding you would like to space out the frames/buttons
            btn_list.append(Button(frames_list[ndex], text="", font="Helvetica 16 bold",
                   command = lambda ndex=ndex: process_turn(ndex)))
            btn_list[ndex].pack(expand=True, fill=BOTH)
            x += 1
            ndex += 1
        i += 1
    root.resizable(width=False, height=False)

create_frames_and_buttons()

所有这些都让你拥有了这个代码，它具有您想要的100x100像素大小。

看一下下面的例子：

from tkinter import *

root = Tk()
frames_list = []
btn_list = []

turn = "X"
turnLabel = Label(root, text=turn, font="Helvetica 16 bold")
turnLabel.grid(row=3, columnspan=3)

def change_turn():
    global turn
    if turn == "O":
        turn = "X"
        turnLabel.config(text=turn)
    elif turn == "X":
        turn = "O"
        turnLabel.config(text=turn)

def check_win():
    # Horizontal wins
    if btn_list[0]["text"] == btn_list[1]["text"] == btn_list[2]["text"] == "X" or btn_list[0]["text"] == btn_list[1]["text"] == btn_list[2]["text"] == "O":
        print("{} wins".format(btn_list[0]["text"]))
    elif btn_list[3]["text"] == btn_list[4]["text"] == btn_list[5]["text"] == "X" or btn_list[3]["text"] == btn_list[4]["text"] == btn_list[5]["text"] == "O":
        print("{} wins".format(btn_list[3]["text"]))
    elif btn_list[6]["text"] == btn_list[7]["text"] == btn_list[8]["text"] == "X" or btn_list[6]["text"] == btn_list[7]["text"] == btn_list[8]["text"] == "O":
        print("{} wins".format(btn_list[6]["text"]))

    # Vertical wins
    elif btn_list[0]["text"] == btn_list[3]["text"] == btn_list[6]["text"] == "X" or btn_list[0]["text"] == btn_list[3]["text"] == btn_list[6]["text"] == "O":
        print("{} wins".format(btn_list[0]["text"]))
    elif btn_list[1]["text"] == btn_list[4]["text"] == btn_list[7]["text"] == "X" or btn_list[1]["text"] == btn_list[4]["text"] == btn_list[7]["text"] == "O":
        print("{} wins".format(btn_list[1]["text"]))
    elif btn_list[2]["text"] == btn_list[5]["text"] == btn_list[8]["text"] == "X" or btn_list[2]["text"] == btn_list[5]["text"] == btn_list[8]["text"] == "O":
        print("{} wins".format(btn_list[2]["text"]))

    # Diagonal wins
    elif btn_list[0]["text"] == btn_list[4]["text"] == btn_list[8]["text"] == "X" or btn_list[0]["text"] == btn_list[4]["text"] == btn_list[8]["text"] == "O":
        print("{} wins".format(btn_list[0]["text"]))
    elif btn_list[2]["text"] == btn_list[4]["text"] == btn_list[6]["text"] == "X" or btn_list[2]["text"] == btn_list[4]["text"] == btn_list[6]["text"] == "O":
        print("{} wins".format(btn_list[2]["text"]))

    # If no one wins
    else:
        change_turn()

def process_turn(ndex):
    btn_list[ndex].config(text=turn)
    check_win()

def create_frames_and_buttons():
    ndex = 0
    i = 0
    x = 0
    for i in range(3):
        for x in range(3):
            frames_list.append(Frame(root, width = 100, height = 100))
            frames_list[ndex].propagate(False)
            frames_list[ndex].grid(row = i, column = x, sticky = "nsew", padx = 2, pady = 2)
            btn_list.append(Button(frames_list[ndex], text="", font="Helvetica 16 bold",
                   command = lambda ndex=ndex: process_turn(ndex)))
            btn_list[ndex].pack(expand=True, fill=BOTH)
            x += 1
            ndex += 1
        i += 1
    root.resizable(width=False, height=False)

create_frames_and_buttons()

root.mainloop()

结果：

Answer 3

如果要使用place方法添加按钮，则可以使用表达式：

myButton.place(x = 0, y = 0, width = 200, height = 30)

使用此按钮，将在其父对象中200x30 px位置创建大小为x = 0, y = 0的按钮

Answer 4

这是使用自适应算法完成的代码（因此它从错误中学习）。在回答你的问题时，我使用了画布并创建了矩形，然后点击了它。

DRAW_WEIGHT = 1 # The value for a round where there was a draw
COMPUTER_WIN_WEIGHT = 5 # The value for a round where there was a computer win
COMPUTER_LOSE_WEIGHT = -5 # The value for a round where there was a computer loss
LOG = True # Rounds be logged to improve move knowledge

import ctypes, math, threading, random, os, time, os.path
from tkinter import *

def end (mode, at = None):
    global active, facts
    active = False
    if mode == 0: l.config (text = "Draw")
    elif mode == 1:
        if player == -1: l.config (text = "You lose")
        else: l.config (text = "Player 1 wins")
    else:
        if player == -1: l.config (text = "Well done! You win!")
        else: l.config (text = "Player 2 wins")
    if player == -1:
        log [-1].append (mode)
        if LOG:
            with open ("Learn.log", "w") as f: f.write ("\n".join ([" ".join ([str (j) for j in i]) for i in log]))
        else:
            with open ("Learn.log", "w") as f: f.write ("\n".join ([" ".join ([str (j) for j in i]) for i in log [ : -1]]))
    if at:
        if at [0] == 0: c.create_line (at [1] * 200 + 100, 0, at [1] * 200 + 100, 600, width = 5, fill = "blue")
        elif at [0] == 1: c.create_line (0, at [1] * 200 + 100, 600, at [1] * 200 + 100, width = 5, fill = "blue")
        elif at [0] == 2: c.create_line (0, 0, 600, 600, width = 5, fill = "blue")
        else: c.create_line (600, 0, 0, 600, width = 5, fill = "blue")
    c.create_text (300, 250, text = "Game Over", fill = "red", font = ("times", 75))
    c.create_text (300, 325, text = "Click to play again", fill = "red", font = ("times", 30))
    c.bind ("<Button-1>", restart)

def restart (event = None):
    global places, player
    c.delete (ALL)
    places = [0 for i in range (9)]
    for i in range (2): c.create_line (200 + 200 * i, 0, 200 + 200 * i, 600, width = 2)
    for i in range (2): c.create_line (0, 200 + 200 * i, 600, 200 + 200 * i, width = 2)
    if player == -1:
        l.config (text = "Click on a square to go there")
        c.bind ("<Button-1>", lambda event: threading.Thread (target = click, args = (event,)).start ())
    else:
        player = True
        l.config (text = "Player 1's turn")
        c.bind ("<Button-1>", lambda event: threading.Thread (target = p2click, args = (event,)).start ())

def check (mode = False):
    toGo = (-1,)
    for i in range (3):
        now = [places [i + j * 3] for j in range (3)]
        if now.count (1) == 3:
            toGo = (0, i)
            break
    if toGo [0] == -1:
        for i in range (3):
            now = [places [j + i * 3] for j in range (3)]
            if now.count (1) == 3:
                toGo = (1, i)
                break
    if toGo [0] == -1:
        now = [places [i + i * 3] for i in range (3)]
        if now.count (1) == 3: toGo = (2,)
    if toGo [0] == -1:
        now = [places [2 + i * 3 - i] for i in range (3)]
        if now.count (1) == 3: toGo = (3,)
    if toGo [0] == -1:
        for i in range (3):
            now = [places [i + j * 3] for j in range (3)]
            if now.count (2) == 3:
                toGo = (0, i)
                break
        if toGo [0] == -1:
            for i in range (3):
                now = [places [j + i * 3] for j in range (3)]
                if now.count (2) == 3:
                    toGo = (1, i)
                    break
        if toGo [0] == -1:
            now = [places [i + i * 3] for i in range (3)]
            if now.count (2) == 3: toGo = (2,)
        if toGo [0] == -1:
            now = [places [2 + i * 3 - i] for i in range (3)]
            if now.count (2) == 3: toGo = (3,)
        if toGo [0] == -1:
            if mode: end (0)
            else: return True
        else: end (1, toGo)
    else: end (2, toGo)
    return False

def click (event):
    global log, active, facts
    c.bind ("<Button-1>", lambda event: None)
    start = time.clock ()
    l.config (text = "Calculating...")
    x, y = math.floor (event.x / 200), math.floor (event.y / 200)
    if x == 3: x -= 1
    if y == 3: y -= 1
    if places [x + y * 3] == 0:
        if places.count (0) == 9:
            log.append ([x + y * 3])
            active = True
        else: log [-1].append (x + y * 3)
        places [x + y * 3] = 1
        c.create_line (x * 200 + 25, y * 200 + 25, x * 200 + 175, y * 200 + 175, width = 2)
        c.create_line (x * 200 + 25, y * 200 + 175, x * 200 + 175, y * 200 + 25, width = 2)
        toGo, movesChecked = -1, 0
        if places.count (0) == 0: check (True)
        else:
            if check ():
                for i in range (3):
                    movesChecked += 1
                    now = [places [i + j * 3] for j in range (3)]
                    if now.count (2) == 2 and now.count (0) == 1:
                        toGo = i + now.index (0) * 3
                        break
                if toGo == -1:
                    for i in range (3):
                        movesChecked += 1
                        now = [places [j + i * 3] for j in range (3)]
                        if now.count (2) == 2 and now.count (0) == 1:
                            toGo = now.index (0) + i * 3
                            break
                if toGo == -1:
                    movesChecked += 1
                    now = [places [i + i * 3] for i in range (3)]
                    if now.count (2) == 2 and now.count (0) == 1: toGo = now.index (0) + now.index (0) * 3
                if toGo == -1:
                    movesChecked += 1
                    now = [places [2 + i * 3 - i] for i in range (3)]
                    if now.count (2) == 2 and now.count (0) == 1: toGo = 2 + now.index (0) * 3 - now.index (0)
                if toGo == -1:
                    for i in range (3):
                        movesChecked += 1
                        now = [places [i + j * 3] for j in range (3)]
                        if now.count (1) == 2 and now.count (0) == 1:
                            toGo = i + now.index (0) * 3
                            break
                if toGo == -1:
                    for i in range (3):
                        movesChecked += 1
                        now = [places [j + i * 3] for j in range (3)]
                        if now.count (1) == 2 and now.count (0) == 1:
                            toGo = now.index (0) + i * 3
                            break
                if toGo == -1:
                    movesChecked += 1
                    now = [places [i + i * 3] for i in range (3)]
                    if now.count (1) == 2 and now.count (0) == 1: toGo = now.index (0) + now.index (0) * 3
                if toGo == -1:
                    movesChecked += 1
                    now = [places [2 + i * 3 - i] for i in range (3)]
                    if now.count (1) == 2 and now.count (0) == 1: toGo = 2 + now.index (0) * 3 - now.index (0)
                if toGo == -1:
                    useful = [0, 0, 0, 0, 0, 0, 0, 0, 0]
                    for rot in range (4):
                        for i in range (len (log) - 1):
                            movesChecked += 1
                            this = rotate (log [i], rot)
                            if len (log [i]) > len (log [-1]):
                                if log [-1] == this [ : len (log [-1])]:
                                    if this [-1] == 0: value = DRAW_WEIGHT
                                    elif this [-1] == 1: value = COMPUTER_WIN_WEIGHT
                                    else: value = COMPUTER_LOSE_WEIGHT
                                    useful [this [len (log [-1])]] += value
                    toGo = useful.index (max (useful))
                    while places [toGo] != 0:
                        movesChecked += 1
                        useful [toGo] = min (useful) - 1
                        toGo = useful.index (max (useful))
                places [toGo] = 2
                log [-1].append (toGo)
                c.create_oval (toGo % 3 * 200 + 25, math.floor (toGo / 3) * 200 + 25, toGo % 3 * 200 + 175, math.floor (toGo / 3) * 200 + 175, width = 2)
                facts = [round ((time.clock () - start) * 1000, 1), movesChecked]
                facts.append (round (facts [1] / facts [0]))
                if check ():
                    l.config (text = "Your turn")
                    c.bind ("<Button-1>", lambda event: threading.Thread (target = click, args = (event,)).start ())
    else:
        l.config (text = "This square has already been taken.")
        c.bind ("<Button-1>", lambda event: threading.Thread (target = click, args = (event,)).start ())

def nerdyFacts ():
    t = Toplevel ()
    t.focus_force ()
    t.resizable (False, False)
    if os.path.isfile ("icon.ico"): t.iconbitmap ("icon.ico")
    if len (facts) > 0: Label (t, text = "Just a few facts about the last move should you wish to know them:\n%sms taken to process request\n%s possible moves checked\n%s moves checked per ms" % tuple (facts)).pack ()
    else: Label (t, text = "No facts to display.").pack ()

def rotate (data, mode):
    if mode == 0: replace = [i for i in range (9)]
    elif mode == 1: replace = [2, 5, 8, 1, 4, 7, 0, 3, 6]
    elif mode == 2: replace = [8, 7, 6, 5, 4, 3, 2, 1, 0]
    else: replace = [6, 3, 0, 7, 4, 1, 8, 5, 2]
    return [replace [i] for i in data [ : -1]] + [data [-1]]

def remove ():
    global log
    if ctypes.windll.user32.MessageBoxW (0, "Do you really want to delete all of my data.\nIn doing so, I will not be able to make such informed moves.\nOn average, I say it takes about 20 rounds for me to start getting better.\nThis is only recommended if the program takes a long time to make moves.", "Naughts and crosses", 4) == 6:
        if active: del log [ : -1]
        else: log = []
        with open ("Learn.log", "w") as f: f.write ("")
        t.destroy ()
        ctypes.windll.user32.MessageBoxW (0, "Data reset.", "Naughts and crosses", 0)

def p2click (event):
    global player
    x, y = math.floor (event.x / 200), math.floor (event.y / 200)
    if x == 3: x -= 1
    if y == 3: y -= 1
    if places [x + y * 3] == 0:
        places [x + y * 3] = int (player) + 1
        if player:
            c.create_line (x * 200 + 25, y * 200 + 25, x * 200 + 175, y * 200 + 175, width = 2)
            c.create_line (x * 200 + 25, y * 200 + 175, x * 200 + 175, y * 200 + 25, width = 2)
        else: c.create_oval (x * 200 + 25, y * 200 + 25, x * 200 + 175, y * 200 + 175, width = 2)
        l.config (text = "Player %s's turn" % str (int (player) + 1))
        player = not player
        if places.count (0) == 0: check (True)
        else: check ()

def start (players):
    global player
    if players == 1:
        player = -1
        t = Label (root, text = "Data information", font = ("times", 12))
        t.pack ()
        t.bind ("<Button-1>", lambda event: threading.Thread (target = dataLog).start ())
    else: player = True
    restart ()

def dataLog ():
    global t
    t = Toplevel ()
    t.resizable (False, False)
    t.focus_force ()
    if os.path.isfile ("icon.ico"): t.iconbitmap ("icon.ico")
    if active: l = log [ : -1]
    else: l = log
    if len (l) == 0: Label (t, text = "I have no data to analyse.\nTherefore, I cannot display any extra information.").pack ()
    else:
        wins, loses, draws = 0, 0, 0
        for i in l:
            if i [-1] == 0: draws += 1
            elif i [-1] == 1: loses += 1
            else: wins += 1
        wins, loses, draws = round (wins * 100 / len (l)), round (loses * 100 / len (l)), round (draws * 100 / len (l))
        last = math.ceil (len (l) / 2)
        last_wins, last_loses, last_draws = 0, 0, 0
        if last > 50: last = 50
        for i in l [len (l) - last : ]:
            if i [-1] == 0: last_draws += 1
            elif i [-1] == 1: last_loses += 1
            else: last_wins += 1
        last_wins, last_loses, last_draws = round (last_wins * 100 / last), round (last_loses * 100 / last), round (last_draws * 100 / last)
        Label (t, text = "I have %s round/s of data to analyse.\n(%s virtual rounds)\n\nOf these:\n%s%s are user wins\n%s%s are computer wins\n%s%s are draws\n\nIn the last %s round/s:\n%s%s are user wins\n%s%s are computer wins\n%s%s are draws\n" % (len (l), len (l) * 4, wins, "%", loses, "%", draws, "%", last, last_wins, "%", last_loses, "%", last_draws, "%")).pack ()
        Button (t, text = "Clear data", command = lambda: threading.Thread (target = remove).start ()).pack ()

active, facts = False, ()
if os.path.isfile ("Learn.log"):
    with open ("Learn.log") as f:
        read = f.read ()
        if read != "": log = [[int (j) for j in i.split (" ")] for i in read.split ("\n")]
        else: log = []
else: log = []
try: ctypes.windll.shcore.SetProcessDpiAwareness (True)
except: pass
root = Tk ()
root.title ("Naughts and crosses")
root.resizable (False, False)
if os.path.isfile ("icon.ico"): root.iconbitmap ("icon.ico")
l = Label (root, text = "", font = ("times", 20))
l.bind ("<Button-1>", lambda event: nerdyFacts ())
l.pack ()
c = Canvas (root, width = 600, height = 600, bg = "white")
c.pack ()
c.create_text (300, 200, text = "How many players are there?", font = ("times", 30))
p1 = (c.create_rectangle (150, 350, 250, 450, fill = "blue"),
      c.create_text (200, 400, text = "1", font = ("times", 40), fill = "red"))
p2 = (c.create_rectangle (350, 350, 450, 450, fill = "red"),
      c.create_text (400, 400, text = "2", font = ("times", 40), fill = "blue"))
for i in p1: c.tag_bind (i, "<ButtonRelease-1>", lambda event: start (1))
for i in p2: c.tag_bind (i, "<ButtonRelease-1>", lambda event: start (2))
root.mainloop ()

一般来说，我说它应该让你在它变得更好之前玩大约50场比赛（或者你可以使用下面的数据，我已经玩了几轮并将其保存到一个名为learn.log的文件中）：

1 0 7 4 8 6 2 3 1
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
3 2 0 6 4 5 8 2
1 0 8 2 7 4 6 2
1 0 8 3 6 7 2 5 4 2
1 2 6 0 7 4 8 2
1 3 6 0 7 4 8 2
4 0 8 1 2 5 6 2
8 0 2 5 4 6 3 1 7 0
3 0 7 1 2 4 8 5 6 2
0 1 4 8 6 3 2 2
0 2 8 4 6 3 7 2
0 3 4 8 2 1 6 2
0 4 8 1 7 6 2 5 3 0
0 4 3 6 2 1 7 5 8 0
8 0 2 5 6 7 4 2
8 1 4 0 2 5 6 2
8 2 0 4 6 3 7 2
8 3 4 0 6 7 2 2
8 4 0 1 7 6 2 5 3 0
8 4 2 5 3 0 1 6 7 0
8 4 0 1 7 6 2 5 3 0
8 4 6 7 1 0 2 5 3 0
8 4 1 0 6 7 2 5 3 0
0 4 8 1 7 6 2 5 3 0
0 4 8 1 7 6 2 5 3 0
0 4 2 1 7 3 6 5 1
1 4 0 2 6 3 8 5 1
6 0 2 4 8 5 7 2
2 0 4 6 3 5 8 1 7 0
2 0 6 4 8 5 7 2
2 1 4 6 8 5 7 0 3 0
2 1 4 6 8 5 0 2
2 3 4 6 0 1 8 2
2 4 0 1 7 3 5 8 6 0
2 4 5 8 0 1 7 3 6 0
2 4 1 0 8 5 6 3 1
2 4 6 0 8 5 7 2
2 4 6 1 7 8 5 0 1
2 4 6 1 7 8 0 3 5 0
2 4 6 1 7 8 0 3 5 0
6 1 4 2 0 3 8 2
6 2 8 7 0 3 4 2
6 3 4 2 8 7 0 2
6 4 7 8 0 3 2 5 1
6 4 3 0 8 7 1 2 5 0
6 4 2 0 8 5 7 2
6 4 2 1 7 8 5 0 1
6 4 2 1 7 8 0 3 5 0
8 4 0 1 7 6 2 5 3 0
4 1 2 6 8 5 0 2
4 2 6 0 1 7 8 3 5 0
2 4 7 0 8 5 6 2
4 2 6 0 1 7 3 5 8 0
2 4 7 1 8 5 6 2
2 5 3 0 7 1 6 8 4 2
0 4 7 1 6 3 8 2
8 4 3 0 6 7 1 2 5 0
7 0 2 1 8 5 6 2
0 4 7 2 6 3 8 2
3 1 8 0 2 5 6 7 4 2
7 1 2 0 8 5 6 2
3 2 8 0 1 4 6 7 5 0
2 6 0 1 3 4 7 5 8 0
1 4 3 0 8 2 6 7 5 0
3 2 8 0 7 1 1
1 4 5 0 8 2 6 7 3 0
3 2 8 0 4 1 1
0 5 4 8 2 1 6 2
4 2 0 8 5 3 7 1 6 0
8 4 3 0 2 5 6 7 1 0
3 2 5 4 7 6 1
6 4 5 0 8 2 7 2
6 4 8 7 2 1 1
1 4 5 0 8 2 6 7 3 0
3 2 7 0 1 4 6 8 1
7 2 3 0 4 1 1
1 4 3 0 8 2 6 7 5 0
7 2 0 1 6 3 8 2
0 6 5 1 4 3 8 2
4 2 6 0 1 7 3 5 8 0
8 4 3 0 5 2 6 1 1
4 2 0 8 5 3 7 1 6 0
6 4 5 1 7 8 0 3 2 0
2 6 8 5 4 0 3 1 7 0
3 2 8 0 4 1 1
4 2 8 0 1 7 3 5 6 0
1 4 8 0 2 5 3 6 7 0
0 7 5 1 4 3 8 2
1 4 6 0 8 7 5 2 3 0
2 6 7 0 3 1 5 8 4 2
2 7 4 6 8 5 0 2
2 8 7 0 4 1 6 2
1 4 6 0 8 7 5 2 3 0
4 2 7 1 0 8 6 5 1
1 4 6 0 8 7 2 5 3 0
7 2 0 3 8 6 4 2
0 8 2 1 7 3 6 4 5 0
1 4 6 0 8 7 2 5 3 0
0 8 1 2 5 3 7 4 6 0
0 8 7 1 4 2 5 3 6 0
0 8 4 1 6 3 2 2
0 4 8 1 7 6 2 5 3 0
5 0 3 4 8 2 1 6 1
1 4 5 0 8 2 6 7 3 0
3 2 5 4 6 0 1 8 1
3 2 5 4 6 0 1 8 1
4 2 5 3 0 8 7 1 6 0
0 4 8 1 7 6 2 5 3 0
4 2 0 8 5 3 6 1 7 0
0 4 8 1 7 6 2 5 3 0
0 4 8 1 7 6 2 5 3 0
0 4 6 3 5 1 7 8 2 0
0 4 5 1 7 2 6 3 8 2
0 4 5 2 6 3 8 7 1 0
0 4 5 2 6 3 7 8 1 0
0 4 8 1 7 6 2 5 3 0
0 4 5 2 1 6 1
3 2 8 0 1 4 6 7 5 0
5 0 6 1 2 8 4 2
5 0 6 2 1 3 7 4 8 2
3 2 8 0 1 4 6 7 5 0
5 1 0 2 6 3 8 7 4 2
0 4 8 1 7 6 2 5 3 0
5 6 0 8 7 4 3 2 1
5 6 0 8 7 4 2 1 3 0
5 6 2 8 7 0 3 4 1
7 0 2 6 3 4 8 5 1 0
6 4 8 7 1 2 3 0 5 0
5 6 1 8 7 4 0 2 1
4 0 8 6 3 5 1 7 2 0
2 4 0 1 7 6 3 8 5 0
4 0 2 6 3 5 1 7 8 0
0 4 8 1 7 6 2 5 3 0
4 0 2 6 3 5 8 1 7 0
4 0 6 2 1 7 5 3 8 0
5 6 0 8 7 4 2 1 3 0
6 4 8 7 1 2 0 3 5 0
0 4 6 3 5 8 1 2 7 0
0 4 8 1 7 6 2 5 3 0
6 4 3 0 8 7 1 2 5 0
1 8 6 2 5 4 0 3 7 0
1 8 4 7 6 2 5 3 0 0
0 4 8 1 7 6 2 5 3 0
4 0 6 2 1 7 8 3 5 0
4 0 1 7 2 6 8 3 1
4 0 2 6 3 5 8 1 7 0
4 0 8 6 3 5 2 7 1 0
0 4 8 1 7 6 2 5 3 0
4 0 3 5 2 6 8 1 7 0
4 0 6 2 1 7 8 3 5 0
0 4 1 2 6 3 8 5 1
0 4 2 1 7 3 5 8 6 0
0 4 1 2 6 3 8 5 1
0 4 1 2 6 3 5 8 7 0
5 6 4 3 0 8 7 1 2 0
0 4 1 2 6 3 5 8 7 0
0 4 2 1 7 3 5 8 6 0
0 4 5 2 6 3 8 7 1 0
0 4 3 6 2 1 7 5 8 0
0 4 7 5 3 6 2 1 8 0
0 4 2 1 7 3 5 8 6 0
0 4 8 1 7 6 2 5 3 0
4 0 8 6 3 5 2 7 1 0
4 0 6 2 1 7 8 3 5 0
4 0 1 7 3 5 8 2 6 0
8 4 0 7 1 2 6 3 5 0
0 4 1 2 6 3 5 8 7 0
0 4 2 1 7 3 5 8 6 0
4 0 6 2 1 7 5 3 8 0
0 4 1 2 6 3 5 8 7 0
6 4 2 3 5 8 0 1 7 0
4 0 1 7 2 6 8 3 1
0 4 8 1 7 6 2 5 3 0
8 4 0 7 1 2 6 3 5 0
0 4 8 1 7 6 2 5 3 0
4 0 8 6 3 5 2 7 1 0
0 4 5 2 6 3 8 7 1 0
6 4 5 1 7 8 0 3 2 0
3 2 8 0 1 4 6 7 5 0
4 0 8 6 3 5 1 7 2 0
6 4 1 0 8 7 2 5 3 0
7 0 2 6 3 4 8 5 1 0
4 0 8 6 3 5 7 1 2 0
4 0 6 2 1 7 8 3 5 0
0 4 6 3 5 8 2 1 7 0
0 4 5 2 6 3 7 8 1 0
4 0 1 7 8 2 5 3 6 0
3 2 4 5 8 0 6 1 1
4 0 8 6 3 5 2 7 1 0
4 0 1 7 2 6 3 8 1
8 4 0 7 1 2 5 6 1
3 2 1 0 7 4 5 8 1
3 2 0 6 8 4 1
3 4 0 6 2 1 7 5 8 0
3 4 2 6 8 5 0 1 7 0
3 4 6 0 2 8 1
4 0 1 7 3 5 2 6 8 0
3 4 6 0 7 8 1
2 4 6 5 3 0 1 8 1
3 4 2 6 0 1 7 8 5 0
3 4 2 6 8 5 0 1 7 0
3 4 7 6 2 0 8 5 1 0
1 4 2 0 8 5 3 7 6 0
4 0 1 7 2 6 3 8 1
4 0 8 6 3 5 1 7 2 0
0 4 8 1 7 6 2 5 3 0
0 4 1 2 6 3 5 8 7 0
5 4 3 0 8 2 6 1 1
5 4 3 0 8 2 1 6 1
5 4 0 2 6 3 8 7 1 0
7 4 0 8 1 2 6 5 1
4 0 8 6 3 5 1 7 2 0
0 4 8 1 7 6 2 5 3 0
1 4 7 6 2 0 3 8 1
1 4 0 2 6 3 5 7 8 0
0 4 8 1 7 6 2 5 3 0
0 4 1 2 6 3 5 8 7 0
3 4 1 6 5 2 1
3 4 1 6 2 0 8 5 7 0
8 4 2 5 3 0 1 6 7 0
3 4 0 6 1 2 1
3 4 1 6 2 0 8 5 7 0
1 4 7 6 2 0 8 3 1
1 4 6 0 8 7 3 2 5 0
4 0 1 7 6 2 5 3 8 0
1 4 5 0 7 8 1
1 4 5 0 8 2 6 7 3 0
5 4 1 2 6 8 0 3 7 0
0 4 2 1 7 3 5 8 6 0
4 0 1 7 2 6 8 3 1
4 0 1 7 6 2 3 5 8 0
0 4 8 1 7 6 2 5 3 0
7 4 1 2 6 8 5 0 1
4 0 1 7 8 2 5 3 6 0
0 4 1 2 6 3 5 8 7 0
4 0 1 7 3 5 2 6 8 0
4 0 1 7 2 6 3 8 1
4 0 8 6 3 5 1 7 2 0
4 0 1 7 6 2 5 3 8 0
4 0 6 2 1 7 5 3 8 0
0 4 2 1 7 3 5 8 6 0
0 4 6 3 2 5 1
2 4 6 5 3 0 8 7 1 0
4 0 1 7 2 6 8 3 1
4 0 2 6 3 5 8 1 7 0
0 4 8 1 7 6 2 5 3 0
3 4 5 8 1 0 1
2 4 5 8 0 1 7 6 3 0
7 4 8 6 5 2 1
4 0 6 2 1 7 5 3 8 0
5 4 8 2 6 7 1 3 0 0
4 0 3 5 7 1 8 2 1
4 0 2 6 3 5 8 1 7 0
0 4 1 2 6 3 5 8 7 0
4 0 1 7 2 6 8 3 1
0 4 6 3 5 8 1 2 7 0
0 4 3 6 2 1 8 7 1
0 4 3 6 2 1 7 5 8 0
3 4 1 6 8 2 1
3 4 1 6 2 0 8 5 7 0
3 4 0 6 2 1 7 5 8 0
4 0 1 7 6 2 3 5 8 0
0 4 1 2 6 3 8 5 1
0 4 1 2 6 3 5 8 7 0
0 4 1 2 6 3 5 8 7 0
0 4 1 2 5 6 1
0 4 1 2 6 3 5 8 7 0
4 0 1 7 2 6 8 3 1
4 0 2 6 3 5 1 7 8 0
0 4 1 2 6 3 5 8 7 0
1 4 0 2 6 3 5 7 8 0
2 4 1 0 8 5 3 7 6 0
4 0 1 7 2 6 8 3 1
8 4 0 7 1 2 6 3 5 0
4 0 1 7 2 6 8 3 1
4 0 1 7 6 2 8 3 5 0
4 0 1 7 3 5 6 2 8 0
4 0 6 2 1 7 8 3 5 0
4 0 1 7 2 6 8 3 1
4 0 2 6 3 5 1 7 8 0
4 0 1 7 6 2 3 5 8 0
4 0 3 5 7 1 2 6 8 0
0 4 8 1 7 6 5 2 1
6 4 0 3 2 5 1
2 4 0 1 7 6 5 8 3 0
2 4 0 1 7 6 8 5 3 0
0 4 8 1 7 6 2 5 3 0
1 4 7 6 2 0 3 8 1
5 4 1 2 3 6 1
5 4 1 2 6 8 0 3 7 0
0 4 1 2 6 3 5 8 7 0
0 4 1 2 6 3 5 8 7 0
1 4 0 2 5 6 1