Python 3.5.0：魔方阵
我正在尝试制作一个魔方阵：
魔方阵是一个被分成行和列的方阵，每个位置上都有一个数字，并且每一行、每一列和对角线的数字之和都是相同的。
例如（3x3 - 数字从1到9）：
8 3 4
1 5 9
6 7 2
我尝试使用一个3x3的矩阵和一个包含9个索引的向量。
import random
#j(column)
matriz = [[1, 2, 3],#i(row)
[4, 5, 6],
[7, 8, 9]]
res = False
#DEFINE A FUNCTION TO CALCULATE ALL SUMS OF ALL SIDES
def magicsquare():
if matriz[0][0] + matriz[1][0] + matriz[2][0] == matriz[0][1] + matriz[1][1] + matriz[2][1] == matriz[0][2] + matriz[1][2] + matriz[2][2] == matriz[0][0] + matriz[0][1] + matriz[0][2] == matriz[1][0] + matriz[1][1] + matriz[1][2] == matriz[2][0] + matriz[2][1] + matriz[2][2] == matriz[0][0] + matriz[1][1] + matriz[2][2] == matriz[0][2] + matriz[1][1] + matriz[2][0]:
return res = True
else:
return res = False
#DEFINE A LOOP TO GENERATE RANDOM NUMBER UNTIL FIND THE ONES THAT
#SATISFY THE CONDITIONS OF A MAGIC SQUARE
seq = [1, 2, 3, 4, 5, 6, 7, 8, 9]
while res == False:
for i in range(2):
for j in range(2):
z = random.choice(seq)
matriz[i][j] = z
x = seq.index(z)
seq[x] = []
magicsquare()
print (matriz)
#---------------------------------------------------------------------------------------------------------------------------------------------------------------
res = False
def magicsquare():
if vetor[0] + vetor[1] + vetor[2] == vetor[3] + vetor[4] + vetor[5] == vetor[6] + vetor[7] + vetor[8] == vetor[0] + vetor[3] + vetor[6] == vetor[1] + vetor[4] + vetor[7] == vetor[2] + vetor[5] + vetor[8] == vetor[0] + vetor[4] + vetor[8] == vetor[2] + vetor[4] + vetor[6]:
return res == True
else:
return res == False
# 0 1 2 3 4 5 6 7 8
vetor = [1, 2, 3, 4, 5, 6, 7, 8, 9]
seq = [1, 2, 3, 4, 5, 6, 7, 8, 9]
if res == False:
for i in range(8):
w = random.choice(seq)
#Replace the value w in index i
vetor.insert(i, w)
#Eliminate the valyes already used
x = seq.index(w)
seq[x] =[]
magicsquare()
print (vetor)
结果总是： [1, 2, 3, 4, 5, 6, 7, 8, 9]
有没有人能帮我制作一个魔方阵，并告诉我我的代码哪里出错了？
使用的是Python 3.5.0
相关问题：
- 暂无相关问题
3 个回答
-1
试试我的代码..
box = []
num = [1, 2, 3,
4, 5, 6,
7, 8, 9]
val = []
for i in num:
for j in num:
for k in num:
if ((i+j+k) == 15) and i != j and j != k and k != i:
val.append((i, j, k))
def check_sum(lst: list):
rtn = []
res = 0
lst = lst[0]
for c in range(3):
for r in range(3):
res += lst[r][c]
if res == 15:
rtn.append(True)
else:
rtn.append(False)
res = 0
res = 0
for x in range(3):
for y in range(3):
if x == y:
res += lst[x][y]
if res == 15:
rtn.append(True)
else:
rtn.append(False)
res = 0
for x in range(3):
for y in range(3):
if x+y == 2:
res += lst[x][y]
if res == 15:
rtn.append(True)
else:
rtn.append(False)
return all(rtn)
def is_unique(a, b, c):
st = set()
for x in a:
st.add(x)
for x in b:
st.add(x)
for x in c:
st.add(x)
if len(st) == 9:
return True
else:
return False
def print_box(b):
for row in b[0]:
print(row)
print()
for i in val:
for j in val:
for k in val:
if is_unique(i, j, k):
box.append([i, j, k])
if check_sum(box):
print_box(box)
if len(box) == 1:
box.clear()
输出结果是：
(2, 7, 6)
(9, 5, 1)
(4, 3, 8)
(2, 9, 4)
(7, 5, 3)
(6, 1, 8)
(4, 3, 8)
(9, 5, 1)
(2, 7, 6)
(4, 9, 2)
(3, 5, 7)
(8, 1, 6)
(6, 1, 8)
(7, 5, 3)
(2, 9, 4)
(6, 7, 2)
(1, 5, 9)
(8, 3, 4)
(8, 1, 6)
(3, 5, 7)
(4, 9, 2)
(8, 3, 4)
(1, 5, 9)
(6, 7, 2)
0
在编程中，有时候我们会遇到一些问题，尤其是在使用某些工具或库的时候。比如，有人可能会在使用某个特定的功能时，发现它并没有按照预期工作。这种情况可能会让人感到困惑，因为我们可能不知道哪里出了问题。
通常，解决这类问题的第一步是仔细检查代码，看看有没有拼写错误或者逻辑上的问题。很多时候，问题可能只是因为一个小小的错误，比如少了一个符号或者写错了一个变量名。
另外，查看相关的文档也是很重要的。文档通常会提供使用某个功能的详细说明和示例，这样可以帮助我们更好地理解如何正确地使用它。
如果自己解决不了问题，可以考虑向社区求助，比如在论坛上提问。记得描述清楚你的问题，并附上相关的代码，这样别人才能更好地帮助你。
总之，遇到问题时不要着急，慢慢分析，查阅资料，必要时寻求帮助，通常都能找到解决办法。
def forEvenNumber(n):
arr = [[(n * y) + x + 1 for x in range(n)] for y in range(n)]
for i in range(0, n // 4):
for j in range(0, n // 4):
arr[i][j] = (n * n + 1) - arr[i][j];
for i in range(0, n // 4):
for j in range(3 * (n // 4), n):
arr[i][j] = (n * n + 1) - arr[i][j];
for i in range(3 * (n // 4), n):
for j in range(0, n // 4):
arr[i][j] = (n * n + 1) - arr[i][j];
for i in range(3 * (n // 4), n):
for j in range(3 * (n // 4), n):
arr[i][j] = (n * n + 1) - arr[i][j];
for i in range(n // 4, 3 * (n // 4)):
for j in range(n // 4, 3 * (n // 4)):
arr[i][j] = (n * n + 1) - arr[i][j];
print("\nSum of all row, column and diagonals = ",
n * (n * n + 1) // 2, "\n")
for i in range(n):
for j in range(n):
print('%2d ' % (arr[i][j]), end=" ")
print()
def forOddNumber(n):
mgsqr = [[0 for x in range(n)]
for y in range(n)]
r = n // 2
c = n - 1
num = 1
while num <= (n * n):
if r == -1 and c == n:
c = n - 2
r = 0
else:
if c == n:
c = 0
if r < 0:
r = n - 1
if mgsqr[int(r)][int(c)]:
c = c - 2
r = r + 1
continue
else:
mgsqr[int(r)][int(c)] = num
num = num + 1
c = c + 1
r = r - 1
print("\nSum of all row, column and diagonals = ",
n * (n * n + 1) // 2, "\n")
for i in range(0, n):
for j in range(0, n):
print('%2d ' % (mgsqr[i][j]), end='')
print()
print("\nWELCOME:)\n")
n = int(input("Please Enter Number of Rows and Column (n*n): "))
if n%2==0:
forEvenNumber(n)
else:
forOddNumber(n)
print("\nThank You :)")
3
你的随机代码有问题。
>>>
Traceback (most recent call last):
File "C:/Users/xiao/Desktop/ms.py", line 20, in <module>
magicsquare()
File "C:/Users/xiao/Desktop/ms.py", line 5, in magicsquare
if vetor[0] + vetor[1] + vetor[2] == vetor[3] + vetor[4] + vetor[5] == vetor[6] + vetor[7] + vetor[8] == vetor[0] + vetor[3] + vetor[6] == vetor[1] + vetor[4] + vetor[7] == vetor[2] + vetor[5] + vetor[8] == vetor[0] + vetor[4] + vetor[8] == vetor[2] + vetor[4] + vetor[6]:
TypeError: unsupported operand type(s) for +: 'int' and 'list'
>>> vetor
[9, 4, 8, 2, 3, [], [], [], 1, 2, 3, 4, 5, 6, 7, 8, 9]
>>>
random模块里有一个叫shuffle的方法，可以用来打乱一个列表。如果你对你的代码不太了解，直接使用random.shuffle就可以了。
另外，有两种方法可以停止while循环。第一种方法是在magicsquare函数里改变全局变量res：
def magicsquare():
global res
if ...:
res = True
else:
res = False
第二种方法是在magicsquare里return条件：
import random
vetor = [1, 2, 3, 4, 5, 6, 7, 8, 9]
def magicsquare():
return vetor[0]+vetor[1]+vetor[2]==\
vetor[3]+vetor[4]+vetor[5]==\
vetor[6]+vetor[7]+vetor[8]==\
vetor[0]+vetor[3]+vetor[6]==\
vetor[1]+vetor[4]+vetor[7]==\
vetor[2]+vetor[5]+vetor[8]==\
vetor[0]+vetor[4]+vetor[8]==\
vetor[2]+vetor[4]+vetor[6]
while not magicsquare():
random.shuffle(vetor)
print (vetor)