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Special Number (Posted on 2004-06-30) Difficulty: 3 of 5
An integer N consisting of five distinct nonzero digits has the curious property that it is equal to the sum of all the different three-digit integers formed by the three digit permutations of its five digits. Find N.

See The Solution Submitted by np_rt    
Rating: 2.6667 (3 votes)

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Solution re(2): Solution | Comment 4 of 9 |
(In reply to re: Solution by Charlie)

A program implementing the algorithm for solution is:

FOR i = 8 TO 75
  s$ = LTRIM$(STR$(1332 * i))
  t = 0
  FOR j = 1 TO LEN(s$)
   t = t + VAL(MID$(s$, j, 1))
  NEXT
  IF t = i THEN PRINT s$
NEXT

It needs check only 68 possibilities.  It finds one solution:

35964

 


  Posted by Charlie on 2004-06-30 09:51:25
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