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Athletic Competition (Posted on 2013-07-08) Difficulty: 3 of 5
Athletic ability was admired by the Minikins, and the annual summer competition of athletic events was eagerly anticipated In one such competition, Ebum, Ekum, Elfum, Epum, Eskum, and Evum were among the competitors. Three of them were entered in each of four events, and each of the four events was won by a different one of the six.

Based on the statements below, which three entered each of the events and who were the four winners?
  1. The winner of the tree climb did not enter the distance run.
  2. Ekum entered the distance run and the tree climb.
  3. The only one of the four events that Evum did not enter was the log lift.
  4. The winner of the spear throw entered one other event.
  5. Eskum, who entered the distance run and one other event, and Elfum were both winners.
  6. Ebum won the only event that he entered.
  7. Epum competed in the tree climb and one other event, which was not the spear throw.

See The Solution Submitted by K Sengupta    
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Solution computer solution Comment 1 of 1

CLS
name$ = "bklpsv"
ebum = 1: ekum = 2: elfum = 3: epum = 4: eskum = 5: evum = 6
FOR tc1 = 1 TO 4
 tc(1) = tc1
FOR tc2 = tc1 + 1 TO 5
 tc(2) = tc2
FOR tc3 = tc2 + 1 TO 6
 tc(3) = tc3
  FOR tcw = 1 TO 3
    tcw$ = MID$(name$, tc(tcw), 1)
    tcros$ = MID$(name$, tc1, 1) + MID$(name$, tc2, 1) + MID$(name$, tc3, 1)

IF tcw$ <> "k" AND (tc1 = ekum OR tc2 = ekum OR tc3 = ekum) THEN
IF tcw$ <> "v" AND (tc1 = evum OR tc2 = evum OR tc3 = evum) THEN
  dr(1) = ekum
  dr(2) = eskum
  dr(3) = evum
  drros$ = "ksv"
  FOR drw = 1 TO 3
    drw$ = MID$(name$, dr(drw), 1)

FOR ll1 = 1 TO 3
 ll(1) = ll1
FOR ll2 = ll1 + 1 TO 4
 ll(2) = ll2
FOR ll3 = ll2 + 1 TO 5
 ll(3) = ll3
 llros$ = MID$(name$, ll1, 1) + MID$(name$, ll2, 1) + MID$(name$, ll3, 1)

FOR st1 = 1 TO 4
  st(1) = st1
FOR st2 = st1 + 1 TO 5
  st(2) = st2
  st3 = evum
  st(3) = st3
  stros$ = MID$(name$, st1, 1) + MID$(name$, st2, 1) + MID$(name$, st3, 1)

  FOR llw = 1 TO 3
    llw$ = MID$(name$, ll(llw), 1)
  FOR stw = 1 TO 3
    stw$ = MID$(name$, st(stw), 1)
    stct = 0
    IF INSTR(tcros$, stw$) THEN stct = stct + 1
    IF INSTR(drros$, stw$) THEN stct = stct + 1
    IF INSTR(llros$, stw$) THEN stct = stct + 1
    IF stct = 1 THEN

       eskumct = 0
       IF INSTR(tcros$, "s") THEN eskumct = eskumct + 1
       IF INSTR(stros$, "s") THEN eskumct = eskumct + 1
       IF INSTR(llros$, "s") THEN eskumct = eskumct + 1
       IF eskumct = 1 AND (drw$ = "s" OR tcw$ = "s" OR llw$ = "s" OR stw$ = "s") THEN
        IF drw$ = "l" OR llw$ = "l" OR stw$ = "l" OR tcw$ = "l" THEN
       
         ebumct = 0
         IF INSTR(tcros$, "b") THEN ebumct = ebumct + 1
         IF INSTR(stros$, "b") THEN ebumct = ebumct + 1
         IF INSTR(llros$, "b") THEN ebumct = ebumct + 1
         IF INSTR(drros$, "b") THEN ebumct = ebumct + 1
         IF ebumct = 1 THEN
           IF tcw$ = "b" OR drw$ = "b" OR llw$ = "b" OR stw$ = "b" THEN
           
           IF INSTR(tcros$, "p") > 0 THEN
           IF INSTR(stros$, "p") = 0 THEN
              IF INSTR(llros$, "p") > 0 AND INSTR(drros$, "p") = 0 OR INSTR(llros$, "p") = 0 AND INSTR(drros$, "p") > 0 THEN
                  PRINT "TC:"; tcros$, tcw$
                  PRINT "DR:"; drros$, drw$
                  PRINT "ST:"; stros$, stw$
                  PRINT "LL:"; llros$, llw$
              END IF
           END IF
           END IF
           
           END IF
         END IF

 

        END IF

       END IF

    END IF
  NEXT stw
  NEXT llw

NEXT
NEXT

 
NEXT
NEXT
NEXT

  NEXT

END IF
END IF

  NEXT
NEXT
NEXT
NEXT


finds

TC:kpv        p
DR:ksv        s
ST:lsv        l
LL:blp        b

which is:

Tree climbing: Epum won from among Ekum, Epum and Evum.
Distance running: Eskum won from among Ekum, Eskum and Evum.
Spear throw: Elfum won from among Elfum, Eskum and Evum.
Log lift: Ebum won from among Ebum, Elfum and Epum.


  Posted by Charlie on 2013-07-08 19:38:17
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