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with open("damesah.in", "r") as r:
n = int(r.read())
#n = 4
pos = []
fpos = []
tcases = 0
diag1 = []
diag2 = []
ttw = ""
def check(i, j):
if j in pos:
return False
if i + j in diag1 or i - j in diag2:
return False
return True
def back(i = 0):
global n
global tcases
if i == n:
tcases += 1
fpos.append(pos[:])
return
for j in range(0, n):
if check(i, j):
pos.append(j)
diag1.append(i + j)
diag2.append(i - j)
back(i + 1)
pos.pop()
diag1.pop()
diag2.pop()
#### generate all
'''
for n in range(4, 14):
back()
tw = fpos[0][:]
for p in tw:
ttw += str(p + 1) + " "
ttw += ' a ' + str(tcases) + "', '"
fpos.clear()
tcases = 0
with open("damesah.out", "w") as w:
w.write(ttw)
'''
#### generated
results = ['2 4 1 3 \n2', '1 3 5 2 4 \n10', '2 4 6 1 3 5 \n4', '1 3 5 7 2 4 6 \n40', '1 5 8 6 3 7 2 4 \n92', '1 3 6 8 2 4 9 7 5 \n 352', '1 3 6 8 10 5 9 2 4 7 \n724', '1 3 5 7 9 11 2 4 6 8 10 \n2680', '1 3 5 8 10 12 6 11 2 7 9 4 \n14200', '1 3 5 2 9 12 10 13 4 6 8 11 7 \n73712']
with open("damesah.out", "w") as w:
w.write(results[n-4])
#### normal
'''
back()
with open("damesah.out", "w") as w:
tw = fpos[0][:]
for p in tw:
ttw += str(p + 1) + " "
ttw += '\n' + str(tcases)
w.write(ttw)
'''