「盛拓傳媒杯」sql大賽第一期答題,
本期題目:5x5方格棋盤難題
在5x5的方格棋盤中(如圖),每行、列、斜線(斜線不僅僅包括對角線)最多可以放兩個球,如何擺放才能放置最多的球,這樣的擺法總共有幾種?輸出所有的擺法。
要求:用一句sql實現。
輸出格式:從方格棋盤第一行至第5行,每行從第一列到第5列依次輸出,0表示不放球,1表示放球。例如:1001000000000000000000000。一行輸出乙個行號和乙個解,按解所在的列字串順序從大到小排序。
資料庫平台:適用oracle、ms sql sever,版本(oracle推薦10gr2(包含)以上版本、ms sql sever推薦2008版本)
我個人的答案如下:
--構造0、1選項
with test as
(select '1' bit from dual union select '0' from dual),
--構造每行排列組合
combostring as
(select replace(sys_connect_by_path(bit,'#'),'#') combo
from test
where level=5
connect by level<=5
),--把「10001」的字串,構造成可計算的數字
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),
--根據題目進行邏輯求解
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
)--列出符合要求的記錄
select
combo
from allcombo
where rank=1
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