Chef Is Just Throwing Random Words

Chef once had a deep epiphany and ended up saying: Given a sequence of positive integers $a_1, a_2, \ldots, a_N$, if you take each of its $2^N$ subsequences and write down the sum of elements of this subsequence, what will the bitwise OR of the written integers be? Yes, you read it right, but can you solve it? ### Input - The first line of the input contains a single integer $T$ denoting th