Yeah, the [n,n+1] is only a problem when there isn't enough wiggle room between the numbers. ex: [2,3] and [3,4] [3,4] --> [1,2,4] --> 4 can't split because 2

Yeah, the [n,n+1] is only a problem when there isn't enough wiggle room between the numbers. ex: [2,3] and [3,4] [3,4] --> [1,2,4] --> 4 can't split because 2/2 and 3/1 are invalid --> 4 can't initially split because 2/2 and 3/1 are both invalid [5,6] --> [5,4,2] --> [5,1,3,2] --> [6,3,2] --> [6,5] [7,8] --> [7,3,5] --> [7,1,2,5] --> [8,2,5] --> [8,7] When you add more numbers, you need more wiggle room. So, [4,5,6] is problematic and probably [5,6,7]. [4,5,6] --> [3,1,5,6] --> 6 can't break into 3, nor 5/1. It can do 4/2, but then 5 can't split. 5 also can't split. --> [4,2,3,6] --> [4,2,3,1,5] --> [6,4,5] --> 4 can't split into 2/2. It can split to 3/1 but then 5 can't split --> 6 can't initially split at all because 3/3, 4/2, and 5/1 are invalid Even if [6,7,8] has a solution, I'm sure [6,7,8,9] does not.