Python俱乐部
Python
小课题
京东优惠券
有两个序列a,b,大小都为n,序列元素的值任意整形数,无序;
要求:通过交换a,b中的元素,使[序列a元素的和]与[序列b元素的和]之间的差最小。
1. 将两序列合并为一个序列,并排序,为序列Source
2. 拿出最大元素Big,次大的元素Small
3. 在余下的序列S[:-2]进行平分,得到序列max,min
4. 将Small加到max序列,将Big加大min序列,重新计算新序列和,和大的为max,小的为min。
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:\t", l l1,l2 = mean(l) print "Result List:\t", l1, l2 print "Distance:\t", abs(sum(l1)-sum(l2)) print '-*'*40
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 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*