将1—49个数字分成7组,每组要等于175,

题目

将1—49个数字分成7组,每组要等于175,

答案

1,49,14,36,15,35
2,48,13,37,16,34
3,47,12,38,17,33
4,46,11,39,18,32
5,45,10,40,19,31
6,44,9,41,20,30
7,43,8,42,21,29
每行和相同,共 150.
还剩22,23,24,25,26,27,28
对应25-3,25-2,25-1,25,25+1,25+2,25+3
第一列 1,2,3,4,5,6,7
换为 1,3,5,7,2,4,6
则行和为150,150＋1,150+2,150+3,150-3,150-2,150-1
分别于与25,25-1,25-2,25-3,25+3,25+2,25+1对应.
对应得七行为：
1,49,14,36,15,35,25
3,48,13,37,16,34,24
5,47,12,38,17,33,23
7,46,11,39,18,32,22
2,45,10,40,19,31,28
4,44,9,41,20,30,27
6,43,8,42,21,29,26