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Crackers (Posted on 2002-12-25) Difficulty: 4 of 5
Can you crack the code used to transform the following numbers and come up with the final number?
    2461289=18
    11029447=1
    6332516=333561
    412961044=4141
    2234=23
    357924242=222
    139=9
    4344199=?

(hint by levik: the encoding is such that it will only work on some numbers, not all integers)

See The Solution Submitted by Cory Taylor    
Rating: 3.6667 (15 votes)

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Solution Puzzle Solution Comment 6 of 6 |
(In reply to answer by K Sengupta)

The first digit of each code = # digits in the 
decrypted number
The nth digit(Pn, say) of each code = Pnth position 
of the digit in the code, for n>=2, and:
If Qn = Pnth position of the digit in the code, then 
the decrypted number is Q1Q2....Qt, whenever the
decrypted number contains t digits.
For example, for the code 2461289, t = 2, 
Q1 = P4 = 1, Q2 = P6 = 8, and so the  corresponding
decrypted number is 18.
In a similar manner, we observe that:

11029447 --> 1
6332516 --> 333561
412961044 --> 4141
2234 --> 23
357924242 --> 222
139 --> 9
4344199 --> 4444 
Consequently, the required final number is 4444.

Edited on July 3, 2008, 7:03 am
  Posted by K Sengupta on 2008-04-01 13:17:12

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