以下是我的剧本:
from math import trunc
def solver(number,number2, numberofdigits):
seq = str(number),str(number2), str(number - number2)
digits = "".join(seq)
goodChecks = 0
count= numberofdigits/3
for i in range(1,10):
if digits.count(str(i)) == count:
goodChecks += 1
if goodChecks == 9:
return digits
else:
return False
middlenumberdic = {}
middlenumber =[]
successes = 0
num_of_digits = int(input("please enter a number of digits, which is a multiple of 3"))
if num_of_digits == 3:
minY = 381
maxY = 987
if num_of_digits == 6:
minY =246912
maxY = 998877
if num_of_digits == 3:
minX = 123
if num_of_digits == 6:
minX =123123
for y in range(minY, maxY+1):
numberlist = []
if y%100 == 0:
print(y)
for x in range(minX,trunc(y/2)):
digits = solver(y,x,num_of_digits)
if digits is not False:
successes += 2
print(digits)
numberlist.extend([x,y-x])
middlenumber.extend([x, y-x])
print("")
print("I found: ", successes, " successful solution to your brainteaser")
if successes < 20:
print("there were almost no solutions")
elif successes < 100:
print("there were not many solutions")
elif successes < 1000:
print("there were more than a hundred solutions it is definitely not impossible :)")
else:
print("that's a lot of successes")
print("All the ", successes, " succesful solutions i am now going to show you :)")
print("There were ", len(middlenumber) - len(set(middlenumber)) , " duplicates, by the way :)")
items = sorted(middlenumberdic.items())
for key, value in items :
if not not value:
print(key, " : ", ", ".join( repr(e) for e in value ))
所以我创造了一个脑力激荡器,我称之为“不可能的问题”。在这个脑力激荡器中,目的是创建一个有效的3位数减法,使用1到9之间的每个数字 以下是其中一个解决方案的示例:873-254 = 619这是有效的,因为每个数字都使用一次。
有关详细信息,请观看我制作的视频:https://www.youtube.com/watch?v=-2i1nOy6mfo&ab_channel=EpicVideos
在发现难以得出答案后,我创建了这个程序。它基本上做的是遍历每个可能的3位数减法,如果找到符合标准的减法,则打印它。
我的程序工作得很好,但后来我决定你能为6位数做同样的事吗?对于3位数问题,程序有9 ^ 6个可能性进行迭代。这是一个微不足道的531,441次迭代。然而,对于6位数,存在9 ^ 12个可能性,这是一个重复的282,429,536,481次迭代。这将耗费我的计算机时间来解决。
我已经尝试过优化我的程序,但我无法弄清楚如何更快地完成它。所以,如果你发现在任何时候都有一种方法可以优化它,请你告诉我。三江源