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)
(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
Puzzle Solution
