Problem 42705. Is It a Snake?
Given an m-by-n matrix, return true if the elements of the matrix are a connected "snake" shape from 1 to m*n. Otherwise return false.
Snakes are vectors that move through the grid of a matrix in a 4-connected sense. So the number 1 can be anywhere, but the number 2 must be north, south, east, or west of 1. And the number 3 must be north, south, east, or west of 2. And so on.
Examples
[ 1 2 3 4 5 ] is a snake
[ 2 1 3 4 ] is NOT a snake
[ 1 2 3 2 1 ] is NOT a snake
[ 6 5 4 3 ] is NOT a snake
[ 6 1 2 5 4 3 ] is a snake
[ 1 2 3 4 ] is NOT a snake
[ 7 8 9 10 6 1 2 11 5 4 3 12 16 15 14 13 ] is a snake
NOTE: Answers to this problem helped me write the test suite for Cody Problem 42708, Placing Beads Neatly in a Box. Thanks!
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