1. 將兩序列合并為一個序列，并排序，為序列Source
2. 拿出最大元素Big，次大的元素Small
3. 在余下的序列S[:-2]進行平分，得到序列max，min
4. 將Small加到max序列，將Big加大min序列，重新計算新序列和，和大的為max，小的為min。

代碼

def mean( sorted_list ):
if not sorted_list:
return (([],[]))
big = sorted_list[-1]
small = sorted_list[-2]
big_list, small_list = mean(sorted_list[:-2])
big_list.append(small)
small_list.append(big)
big_list_sum = sum(big_list)
small_list_sum = sum(small_list)
if big_list_sum > small_list_sum:
return ( (big_list, small_list))
else:
return (( small_list, big_list))
tests = [ [1,2,3,4,5,6,700,800],
[10001,10000,100,90,50,1],
range(1, 11),
[12312, 12311, 232, 210, 30, 29, 3, 2, 1, 1]
]
for l in tests:
l.sort()
print
print “Source List: ”, 
l1,l2 = mean(l)
print “Result List: ”, l1, l2
print “Distance: ”, abs(sum(l1)-sum(l2))
print ‘-’40
輸出結(jié)果
Python代碼
Source List: [1, 2, 3, 4, 5, 6, 700, 800]
Result List: [1, 4, 5, 800] [2, 3, 6, 700]
Distance: 99
----------------------------------------
Source List: [1, 50, 90, 100, 10000, 10001]
Result List: [50, 90, 10000] [1, 100, 10001]
Distance: 38
----------------------------------------
Source List: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Result List: [2, 3, 6, 7, 10] [1, 4, 5, 8, 9]
Distance: 1
----------------------------------------
Source List: [1, 1, 2, 3, 29, 30, 210, 232, 12311, 12312]
Result List: [1, 3, 29, 232, 12311] [1, 2, 30, 210, 12312]
Distance: 21