By: Amalendu Pramanik

Amalendu Pramanik — Mon, 19 Dec 2011 14:21:07 +0000

With
D As(
     Select RowNum N From Dual Connect By Level<=9
)
,N As(
     Select Replace(Sys_Connect_By_Path(N,’,'),’,') N
     From D
     Where Level=9
     Connect By NoCycle N!=Prior N
)
Select SubStr(N,1,3)||’+'||SubStr(N,4,3)||’='||SubStr(N,7,3) D
From N Where SubStr(N,1,3)+SubStr(N,4,3)=SubStr(N,7,3)

By: newkid

newkid — Thu, 24 Jun 2010 19:14:01 +0000

11GR2:

WITH n AS (
   SELECT ROWNUM n FROM DUAL CONNECT BY ROWNUM<=9
   )
,t (n1,n2,n3,n4,n5,n6,n7,n8,n9,lvl) AS (
   SELECT n,0,0,0,0,0,0,0,0,1
     FROM n
    WHERE n<=4
   UNION ALL
   SELECT t.n1
         ,DECODE(t.lvl,1,n.n,t.n2)
         ,DECODE(t.lvl,2,n.n,t.n3)
         ,DECODE(t.lvl,3,n.n,t.n4)
         ,DECODE(t.lvl,4,n.n,t.n5)
         ,DECODE(t.lvl,5,n.n,t.n6)
         ,DECODE(t.lvl,6,n.n,t.n7)
         ,DECODE(t.lvl,7,n.n,t.n8)
         ,DECODE(t.lvl,8,n.n,t.n9)
         ,t.lvl+1
     FROM t,n
    WHERE n.n NOT IN (n1,n2,n3,n4,n5,n6,n7,n8)
          AND (t.lvl=1 AND n.n>t.n1 AND n.n+t.n1<=9
               OR (t.lvl=2 AND n.n - t.n1- t.n2 IN (0,1))
               OR (t.lvl=4 AND n.n > t.n4)
               OR (t.lvl=5 AND n.n = MOD(t.n4+ t.n5,10))
               OR (t.lvl=7 AND n.n > t.n7)
               OR t.lvl=8 AND n1*100+n7*10+n4 + n2*100+n8*10+n5 = n3*100+n.n*10+n6
               OR t.lvl IN (3,6)
              )
   )
,t2 AS (SELECT * FROM t WHERE lvl=9)
SELECT n1||n7||n4||' + '||n2||n8||n5||' = '||n3||n9||n6 FROM t2
UNION ALL
SELECT n1||n7||n5||' + '||n2||n8||n4||' = '||n3||n9||n6 FROM t2
UNION ALL
SELECT n1||n8||n4||' + '||n2||n7||n5||' = '||n3||n9||n6 FROM t2
UNION ALL
SELECT n1||n8||n5||' + '||n2||n7||n4||' = '||n3||n9||n6 FROM t2
UNION ALL
SELECT n3||n7||n4||' + '||n2||n8||n5||' = '||n1||n9||n6 FROM t2
UNION ALL
SELECT n3||n7||n5||' + '||n2||n8||n4||' = '||n1||n9||n6 FROM t2
UNION ALL
SELECT n3||n8||n4||' + '||n2||n7||n5||' = '||n1||n9||n6 FROM t2
UNION ALL
SELECT n3||n8||n5||' + '||n2||n7||n4||' = '||n1||n9||n6 FROM t2
;

Comments on: How to solve the 3 Digits Plus 3 Digits Puzzle in SQL

By: Amalendu Pramanik

By: newkid