在5X5的方格棋盘中(如图),每行、列、斜线(斜线不仅仅包括对角线)最多可以放两个球,如何摆放才能放置最多的球,这样的摆法总共有几种?输出所有的摆法。 要求: 用一句SQL实现。 输出格式: 从方格棋盘第一行至第5行,每行从第一列到第5列依次输出,0表示不放球,1表示放球。例如:1001000000000000000000000。一行输出一个行号和一个解,按解所在的列字符串顺序从大到小排序。
数据库平台: 适用Oracle、MS SQL Sever,版本(Oracle推荐10gr2(包含)以上版本、MS SQL Sever推荐2008版本)
推荐答案如下: --构造0、1选项 with test as (select '1' bit from dual union select '0' from dual), --构造每行排列组合 combostring as ( select replace(sys_connect_by_path(bit,'#'),'#') combo from test where level=5 connect by level<=5 ), --把“10001”的字符串,构造成可计算的数字 combo as (select substr(combo,1,1) b1,substr(combo,2,1) b2,substr(combo,3,1) b3,substr(combo,4,1) b4,substr(combo,5,1) b5 from combostring), --根据题目进行逻辑求解 allcombo as ( select c1.b1||c1.b2||c1.b3||c1.b4||c1.b5||' '||c2.b1||c2.b2||c2.b3||c2.b4||c2.b5||' '|| c3.b1||c3.b2||c3.b3||c3.b4||c3.b5||' '||c4.b1||c4.b2||c4.b3||c4.b4||c4.b5||' '||c5.b1||c5.b2||c5.b3||c5.b4||c5.b5 combo, RANK() OVER(ORDER BY c1.b1+c1.b2+c1.b3+c1.b4+c1.b5+ c2.b1+c2.b2+c2.b3+c2.b4+c2.b5+ c3.b1+c3.b2+c3.b3+c3.b4+c3.b5+ c4.b1+c4.b2+c4.b3+c4.b4+c4.b5+ c5.b1+c5.b2+c5.b3+c5.b4+c5.b5 DESC) RANK from combo c1,combo c2,combo c3,combo c4,combo c5 where c1.b1+c2.b1+c3.b1+c4.b1+c5.b1<=2 and c1.b2+c2.b2+c3.b2+c4.b2+c5.b2<=2 and c1.b3+c2.b3+c3.b3+c4.b3+c5.b3<=2 and c1.b4+c2.b4+c3.b4+c4.b4+c5.b4<=2 and c1.b5+c2.b5+c3.b5+c4.b5+c5.b5<=2 and c1.b1+c1.b2+c1.b3+c1.b4+c1.b5<=2 and c2.b1+c2.b2+c2.b3+c2.b4+c2.b5<=2 and c3.b1+c3.b2+c3.b3+c3.b4+c3.b5<=2 and c4.b1+c4.b2+c4.b3+c4.b4+c4.b5<=2 and c5.b1+c5.b2+c5.b3+c5.b4+c5.b5<=2 and c1.b1+c2.b2+c3.b3+c4.b4+c5.b5<=2 and c1.b5+c2.b4+c3.b3+c4.b2+c5.b1<=2 and c1.b2+c2.b3+c3.b4+c4.b5<=2 and c2.b1+c3.b2+c4.b3+c5.b4<=2 and c1.b3+c2.b4+c3.b5<=2 and c3.b1+c4.b2+c5.b3<=2 and c1.b4+c2.b3+c3.b2+c4.b1<=2 and c2.b5+c3.b4+c4.b3+c5.b2<=2 and c1.b3+c2.b2+c3.b1<=2 and c3.b5+c4.b4+c5.b3<=2 ) --列出符合要求的记录 select combo from allcombo WHERE RANK=1
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