Given three arrays a,b,c all of same length N. You want to minimize the value of :

max( (a(i)+t)%k + (b(i)+t)%k + (c(i)+t)%k ) , for all 1<=i<=n .

where 't' can be any non-negative integer.

Input : Three arrays of size 'N' and an integer 'k'. How to find a 't' which can minimize this value ?