I don't think you have a complete statement of the problem. Why, in the first example, are arrangements like 1 1 2 excluded? And you only accept the arrangements in a particular order. How do you define the order?
the data ascended by column,when the first column is the same, sort by the second column,...
Thanks - and I realize now that 1 1 2 is not excluded; I just wasn't looking carefully.
The best way to generate such a sequence is using depth-first search or recursion. By prohibiting the usage of IFs, all solutions are inefficient (because we can't cut the tree, and are forced to follow all branches).
For the 3 balls 2 boxes cases, shouldn't the following be part of the answer as well?
1 2 1
2 1 1
2 1 2
2 2 1
Return the largest number that is adjacent to a zero
Project Euler: Problem 1, Multiples of 3 and 5
Find the sum of the elements in the "second" diagonal
Stuff the Board
Compute the intersect point of line and plan
Return fibonacci sequence do not use loop and condition version 3
Find the right number make the equation
Project Euler: Problem 14 Longest Collatz sequence(harder version)
Return fibonacci sequence do not use loop and condition version 2
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