11087 - Divisibility Testing

[Martin Macko]

To help people who have troubles with this problem, note, that the answer doesn't have to fit to 32bit integer (as the answer may be as big as 10^5*(10^5-1)/2). My other bug was, that at first I didn't realise that -7%4=-3 a not 1.

[Adrian Kuegel]

It seems there is no input where the output doesn't fit in a 32 bit integer.
At least under the assumption that you got accepted with long long. I got accepted with int.

[Martin Macko]

It seems there is no input where the output doesn't fit in a 32 bit integer.
At least under the assumption that you got accepted with long long. I got accepted with int.

Well, I've corrected both bugs at once, so possibly there are be no such inputs in the judge. Anyway, the constraints allow such inputs.

[Hisoka]

why n lg n algo get TLE > 10 s ? since T < 100 and n < 100001 ?

thanks

[Hurricane_NET]

A program with complexity O(NlogN) and a relatively small constant factor will run well within the time limit...

[sakhassan]

Can neone give me some test cases which r critical ??

[Sumon]

why n lg n algo get TLE > 10 s ? since T < 100 and n < 100001 ?

thanks

Your program's worst case complexity = T*nlgn*C = 100*(lg100000)*100000*C=1.7*10^8*C,where C is cost of unit operation in each iteration. If this C is larger then there is no way of running within the time limit. I think this problem is not solvable with nlogn algo. I got accepted it with 2*n+K,where K is a small number and it took 7.141 Sec. So, you can compare your's complexity with mine to get the concept about the time required by your algo.

[Hisoka]

Ouu, ic ... You can doing 2 N + K algo without sorting before ...

Thanks

[sunny]

can u pls describe ur algo a little bit.

[Martin Macko]

Ouu, ic ... You can doing 2 N + K algo without sorting before ...

Thanks

My algo sorts the numbers at the beginning and runs in about 8.7s.

[little joey]

The real time bottle-neck is not the sorting of the input, but the reading of it in the first place.
My first attempt, using scanf() to read the input and using qsort() to sort it, took 5.5 seconds to read and 4.0 seconds to sort all of the judge input.

I feel sorry for Darko and all others that try to solve this problem in Java...

[sclo]

The only reason for sorting is to identify the duplicates, there are ways to do it without sorting.

[vinay]

some hints please.......

[Hadi]

Only thing other than sorting that comes to my mind is Hashing. But I get WA with hashing. (I cannot use perfect hashing, i.e. a + 10000000 because I get TLE) , so I use a % some_prime_less_than_8000000).


Any suggestions?

[sclo]

hashing with a prime less than 10^6, with linked list resolving the collisions should work fine.