Problem 42797. Find the path through the cell

A list of cells is given.

Return true if the elements of the list increase monotonically (each element is strictly larger than the previous). Return false otherwise.

For example : If list={1 2 3 4 5} => the answer is YES (1->2->3->4->5)

If list={[1 2] 4 [4 5] 6} => the answer is YES (1(or 2)->4->5->6)

But if list={[1 2] 0 [4 5] 6} => the answer is NO (1 or 2 are >0)

Easy ?

And a list like ... {[10 1] [2 3] [4 40] [1 1 2 2 2 5] 6 40 [1:41] [1:42]} ?

Good luck !