ahalei_14

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14.请将1~9这9个阿拉伯数字分别填入9个□中。每个数字只能使用一次。使得等式成立。
□□□+□□□=□□□
例如173+286=459就是一个合理的组合，请问一共所有少种合理的组合？
注意：173+286=459 与 286+173=459 是同一种组合！

#!usr/bin/env python
# -*- coding: utf-8 -*-def is_same(num_1, num_2, freq):''' Judge the elements of two numbers whether they are same or not!Different method of find same element  ---->ahalei_15'''for i in range(freq):for j in range(freq):if str(num_1)[i] == str(num_2)[j]:return Trueelif i != j and str(num_1)[i] == str(num_1)[j]:return Trueelif i != j and str(num_2)[i] == str(num_2)[j]:return True
def has_zero(num):''' Judge var_number whether it has 0 or not!'''for k in str(num):if k == str(0):return True #else <------Be careful!size = 0   #init size
for a in range(100, 1000):for b in range(100, 1000):if is_same(a, b, 3) is True or has_zero(a) is True or has_zero(b) is True:continueelse:for c in range(100, 1000):if is_same(a, c, 3) is True or is_same(b, c, 3) is True or has_zero(c) is True:continueelif a+b == c:size += 1print('{0}={1}+{2}...............size is {3}'.format(c, a, b, size))
print(size/2)

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