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Apply TodayWho hasn't played the Snake game when they were little? It's quite hard to finish this simple game; nonetheless Chuck Norris has accomplished the task in the most difficult level, naturally. Now, since the game was *too easy* for him, he did it with the highest number of turns possible. We shall now inspect Chuck Norris' solution.

Suppose you have a 2ª×2ª matrix *M* (with an integer *a* ≥ 0). The path of the snake is denoted with consecutive numbers 1÷4ª. The matrix *M* must obey the following conditions:

- All the numbers between 1 to 4ª exist
*once*in a 2ª×2ª matrix. - These numbers form a snake; i.e., each number
*n*must be adjacent to both*n*-1 and*n*+1 (with the obvious exception of 1 and 4ª). - There
*cannot*be more than 4 consecutive numbers in a row or a column.

**Hints**

- Since Chuck Norris can draw an infinite fractal, you may want to check the Hilbert Curve or other Space-filling curves.

**Examples**

hungry_snake(0) ans = 1

hungry_snake(1) ans = 1 2 4 3

hungry_snake(2) ans = 1 4 5 6 2 3 8 7 15 14 9 10 16 13 12 11

**Bad Solutions**

`a=1; eye(2^a)`— doesn't have all the numbers 1 to 4.`a=2; reshape(1:4^a,2^a,2^a)`— 4 and 5 aren't adjacent.`a=3; spiral(2^a)`— has 8 consecutive numbers in a row.

The usual cheats **are not** allowed!

6 correct solutions
4 incorrect solutions

Last solution submitted on Aug 03, 2013