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this should be a classical problem: We have a group of numbers named A with the size of n. Does A have a subgroup such that the sum of it is divisible by m?
m,n>=10^5
I couldn't find any solution with an order better than O(n*m).
thanks for helping :)
There is a randomized tilde-O(n+m) solution for prime
mout there, but I'm not sure if it's feasible with your constraints since its constants are fairly high. I'm pretty sure there's a way to adapt the solution to non-primem, though I haven't spent too much time trying to do so.