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hey everyone welcome back and lets write some more neat code today so today lets solve the problem continuous subarray sum were given an integer array nums and were given an integer k we want to return true if there is a contiguous sub-array of at least two elements that sums up to a multiple of k if thats not the case though then were going to return false so first really quickly what does that mean well the best way to understand it is always with an example try not to spend too much time reading the description for these types of problems focus on the example so were given an integer k this is the array nums a sub array would look something like this right 2 4. whats the sum of that sub array 2 plus four which is six so of course that sum of that sub array is a multiple of k uh what are the multiples of k though k in this case is six well one thing they do mention in the fine print over here is that 0 is always a multiple of k so the multiples of this include 0 then 6 then