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SELECT arr[ coalesce(array_length(prefix,1),0)+1 : ] FROM (VALUES ('{1,2,3,4}'::int[], '{1,2}'::int[]), ('{1,2,3,4}', '{}'), ('{1,2,3,4}', '{1,2,3,4}') ) as example(arr, prefix)
arr
{3,4}
{1,2,3,4}
{}
SELECT 3