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Compare two problems (Posted on 2013-05-20) Difficulty: 3 of 5
Solve:
ROBOT=40*ONLY

Compare the number of its possible solutions with that of the following problem:
ROBOT:IT=ONLY

See The Solution Submitted by Ady TZIDON    
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Solution computer solutions | Comment 1 of 3
Part 1:
 92720         2318
Part 2:
 43032  12     3586
 61215  35     1749
 82620  30     2754
 82920  30     2764
 92720  40     2318

from

DEFDBL A-Z
PRINT "Part 1:"
FOR r = 1 TO 9
 used(r) = 1
FOR o = 1 TO 9
 IF used(o) = 0 THEN
   used(o) = 1
FOR b = 0 TO 9
 IF used(b) = 0 THEN
   used(b) = 1
FOR t = 0 TO 9
 IF used(t) = 0 THEN
   used(t) = 1
FOR n = 0 TO 9
 IF used(n) = 0 THEN
   used(n) = 1
FOR l = 0 TO 9
 IF used(l) = 0 THEN
   used(l) = 1
FOR y = 0 TO 9
 IF used(y) = 0 THEN
   used(y) = 1

   robot = 10000 * r + 1010 * o + 100 * b + t
   only = 1000 * o + 100 * n + 10 * l + y
   IF only * 40 = robot THEN PRINT robot, only

   used(y) = 0
 END IF
NEXT
   used(l) = 0
 END IF
NEXT
   used(n) = 0
 END IF
NEXT
   used(t) = 0
 END IF
NEXT
   used(b) = 0
 END IF
NEXT
   used(o) = 0
 END IF
NEXT
 used(r) = 0
NEXT

PRINT "Part 2:"

FOR r = 1 TO 9
 used(r) = 1
FOR i = 1 TO 9
 IF used(i) = 0 THEN
   used(i) = 1
FOR o = 1 TO 9
 IF used(o) = 0 THEN
   used(o) = 1
FOR b = 0 TO 9
 IF used(b) = 0 THEN
   used(b) = 1
FOR t = 0 TO 9
 IF used(t) = 0 THEN
   used(t) = 1
FOR n = 0 TO 9
 IF used(n) = 0 THEN
   used(n) = 1
FOR l = 0 TO 9
 IF used(l) = 0 THEN
   used(l) = 1
FOR y = 0 TO 9
 IF used(y) = 0 THEN
   used(y) = 1

   robot = 10000 * r + 1010 * o + 100 * b + t
   it = 10 * i + t
   only = 1000 * o + 100 * n + 10 * l + y
   IF only * it = robot THEN PRINT robot; it, only

   used(y) = 0
 END IF
NEXT
   used(l) = 0
 END IF
NEXT
   used(n) = 0
 END IF
NEXT
   used(t) = 0
 END IF
NEXT
   used(b) = 0
 END IF
NEXT
   used(o) = 0
 END IF
NEXT
   used(i) = 0
 END IF
NEXT
 used(r) = 0
NEXT


  Posted by Charlie on 2013-05-20 17:42:12
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