Hi Asif: Can you give a little more detail to your solvers about what "happy" and "b-base' mean? Maybe link to Wikipedia reference pages?
Asif: If I am reading that reference correctly, then test suite problems 4 and 7 are incorrect. In fact, problem 4 has base b=4, and according to the reference b=4 is a "happy base" in which *all* numbers are happy.
thank u william for pointing that out.
i've modified the test suites.
kindly inform if u find any more discrepancies.
Asif: Yes, I am now seeing a discrepancy with problem 6, but all the others agree with my code.
william, so far i've understood the concept, test-6 is correct.
have a look..I think it'll make things clear
but still if i'm wrong,do inform
Well, it appears to me that the number 742356 is a pre-periodic point of the perfect digital invariant n=8 in base 3. However, since the perfect digital invariant is n=8 rather than n=1, this is not a happy number. At least, that is how I read it!
did u look into the nontrivial PDI portion?
i might have been wrong-i 'll look into it when i get some time. i'm a bit busy now with my new job
Asif, Yes, I looked at the information on non-trivial perfect digital invariants. Near the end of that reference, there is a short section entitled "Relation to happy numbers" that indicates that in order for a number to be happy, it needs to be a perfect digital invariant with the value of 1. In this case, the invariant is 8 (or 22 in base-3), so I interprete that as saying that it is a non-trivial PDI, but not happy.
thanks man.. sorry i didn't go through all that info.
i've updated the problem.it should be okay now
Is test 10 wrong? n=3148 in base 13 cylces 79-A0-79-A0, not a happy number.
Jan Olsen is right and test 10 is definitely wrong. In iteration 5 most solvers (including Asif, it seems) translate dec2base(10,13) = ‘A’ to digital by ‘A’-‘0’ = 17. The correct is of course 10, leading to the cycle noted by Jan. The test suite should be corrected.
Create an n-by-n null matrix and fill with ones certain positions
Area of an Isoceles Triangle
Find the next Fibonacci number
Solve a System of Linear Equations
ZigZag - 02
The length of the equal sides of an isoceles triangle is 'a'.For all the possible (integer) values of the remaining side,find the associated angles between the two equal sides.
Most Frequent Word - 01
Do they touch?
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