展開全部

global col #定義一些全局變量

global row

global pos_diag

global nag_diag

global count

def output():

''' 輸出一種有效結果

'''

global count

print row

count += 1

def do_queen(i):

''' 生成所有正確解

@param i: 皇后的數目

'''

for j in range(0, 8): #依次62616964757a686964616fe59b9ee7ad9431333335323462嘗試0～7位置

if col[j] == 1 and pos_diag[i-j+7] == 1 and nag_diag[i+j] == 1: #若該行，正對角線，負對角線上都沒有皇后，則放入i皇后

row[i] = j

col[j] = 0 #調整各個列表狀態

pos_diag[i-j+7] = 0

nag_diag[i+j] = 0

if i < 7:

do_queen(i+1) #可遞增或遞減

else:

output() #產生一個結果，輸出

col[j] = 1 #恢復各個列表狀態為之前的

pos_diag[i-j+7] = 1

nag_diag[i+j] = 1

if __name__ == '__main__':

col = [] #矩陣列的列表，存儲皇后所在列，若該列沒有皇后，則相應置為1，反之則0

row = [] #矩陣行的列表，存放每行皇后所在的列位置，隨著程序的執行，在不斷的變化中，之間輸出結果

pos_diag = [] #正對角線，i-j恒定，-7~0~7，并且b(i)+7統一到0～14

nag_diag = [] #負對角線，i+j恒定，0～14

count = 0

for index in range(0, 8): #一些初始化工作

col.append(1)

row.append(0)

for index in range(0, 15):

pos_diag.append(1)

nag_diag.append(1)

do_queen(0) #開始遞歸，先放一個，依次遞增，反過來，從7開始遞減也可

print 'Totally have %d solutions!' % count

輸出：

[0, 4, 7, 5, 2, 6, 1, 3]

[0, 5, 7, 2, 6, 3, 1, 4]

[0, 6, 3, 5, 7, 1, 4, 2]

[0, 6, 4, 7, 1, 3, 5, 2]

[1, 3, 5, 7, 2, 0, 6, 4]

[1, 4, 6, 0, 2, 7, 5, 3]

[1, 4, 6, 3, 0, 7, 5, 2]

[1, 5, 0, 6, 3, 7, 2, 4]

[1, 5, 7, 2, 0, 3, 6, 4]

[1, 6, 2, 5, 7, 4, 0, 3]

[1, 6, 4, 7, 0, 3, 5, 2]

[1, 7, 5, 0, 2, 4, 6, 3]

[2, 0, 6, 4, 7, 1, 3, 5]

[2, 4, 1, 7, 0, 6, 3, 5]

[2, 4, 1, 7, 5, 3, 6, 0]

[2, 4, 6, 0, 3, 1, 7, 5]

[2, 4, 7, 3, 0, 6, 1, 5]

[2, 5, 1, 4, 7, 0, 6, 3]

[2, 5, 1, 6, 0, 3, 7, 4]

[2, 5, 1, 6, 4, 0, 7, 3]

[2, 5, 3, 0, 7, 4, 6, 1]

[2, 5, 3, 1, 7, 4, 6, 0]

[2, 5, 7, 0, 3, 6, 4, 1]

[2, 5, 7, 0, 4, 6, 1, 3]

[2, 5, 7, 1, 3, 0, 6, 4]

[2, 6, 1, 7, 4, 0, 3, 5]

[2, 6, 1, 7, 5, 3, 0, 4]

[2, 7, 3, 6, 0, 5, 1, 4]

[3, 0, 4, 7, 1, 6, 2, 5]

[3, 0, 4, 7, 5, 2, 6, 1]

[3, 1, 4, 7, 5, 0, 2, 6]

[3, 1, 6, 2, 5, 7, 0, 4]

[3, 1, 6, 2, 5, 7, 4, 0]

[3, 1, 6, 4, 0, 7, 5, 2]

[3, 1, 7, 4, 6, 0, 2, 5]

[3, 1, 7, 5, 0, 2, 4, 6]

[3, 5, 0, 4, 1, 7, 2, 6]

[3, 5, 7, 1, 6, 0, 2, 4]

[3, 5, 7, 2, 0, 6, 4, 1]

[3, 6, 0, 7, 4, 1, 5, 2]

[3, 6, 2, 7, 1, 4, 0, 5]

[3, 6, 4, 1, 5, 0, 2, 7]

[3, 6, 4, 2, 0, 5, 7, 1]

[3, 7, 0, 2, 5, 1, 6, 4]

[3, 7, 0, 4, 6, 1, 5, 2]

[3, 7, 4, 2, 0, 6, 1, 5]

[4, 0, 3, 5, 7, 1, 6, 2]

[4, 0, 7, 3, 1, 6, 2, 5]

[4, 0, 7, 5, 2, 6, 1, 3]

[4, 1, 3, 5, 7, 2, 0, 6]

[4, 1, 3, 6, 2, 7, 5, 0]

[4, 1, 5, 0, 6, 3, 7, 2]

[4, 1, 7, 0, 3, 6, 2, 5]

[4, 2, 0, 5, 7, 1, 3, 6]

[4, 2, 0, 6, 1, 7, 5, 3]

[4, 2, 7, 3, 6, 0, 5, 1]

[4, 6, 0, 2, 7, 5, 3, 1]

[4, 6, 0, 3, 1, 7, 5, 2]

[4, 6, 1, 3, 7, 0, 2, 5]

[4, 6, 1, 5, 2, 0, 3, 7]

[4, 6, 1, 5, 2, 0, 7, 3]

[4, 6, 3, 0, 2, 7, 5, 1]

[4, 7, 3, 0, 2, 5, 1, 6]

[4, 7, 3, 0, 6, 1, 5, 2]

[5, 0, 4, 1, 7, 2, 6, 3]

[5, 1, 6, 0, 2, 4, 7, 3]

[5, 1, 6, 0, 3, 7, 4, 2]

[5, 2, 0, 6, 4, 7, 1, 3]

[5, 2, 0, 7, 3, 1, 6, 4]

[5, 2, 0, 7, 4, 1, 3, 6]

[5, 2, 4, 6, 0, 3, 1, 7]

[5, 2, 4, 7, 0, 3, 1, 6]

[5, 2, 6, 1, 3, 7, 0, 4]

[5, 2, 6, 1, 7, 4, 0, 3]

[5, 2, 6, 3, 0, 7, 1, 4]

[5, 3, 0, 4, 7, 1, 6, 2]

[5, 3, 1, 7, 4, 6, 0, 2]

[5, 3, 6, 0, 2, 4, 1, 7]

[5, 3, 6, 0, 7, 1, 4, 2]

[5, 7, 1, 3, 0, 6, 4, 2]

[6, 0, 2, 7, 5, 3, 1, 4]

[6, 1, 3, 0, 7, 4, 2, 5]

[6, 1, 5, 2, 0, 3, 7, 4]

[6, 2, 0, 5, 7, 4, 1, 3]

[6, 2, 7, 1, 4, 0, 5, 3]

[6, 3, 1, 4, 7, 0, 2, 5]

[6, 3, 1, 7, 5, 0, 2, 4]

[6, 4, 2, 0, 5, 7, 1, 3]

[7, 1, 3, 0, 6, 4, 2, 5]

[7, 1, 4, 2, 0, 6, 3, 5]

[7, 2, 0, 5, 1, 4, 6, 3]

[7, 3, 0, 2, 5, 1, 6, 4]

Totally have 92 solutions!

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