hamilton | Go SDK for Microsoft Graph

Here's a start at what you need. There are ways to make it more compact, but I'm going for clarity. You should add error-checking on the result of the preg_match call, so you know if it fails for some reason.

The missing pair issue in the example is just a bug with the example; I submitted an editorial pull request.

The bigger problem is with keys_view and values_view's definitions. An LWG issue has been submitted for which I have provided a proposed resolution. The basic issue here is that

Your are not changing G appropriately in the travel/3 predicate.

"the above example degree of each vertex is 2, so the graph will have a Hamiltonian cycle."

Having a degree 2 for each vertex is a necessary but not sufficient condition to ensure a graph has a hamiltonian cycle. Accordingly, the example you provide has a hamiltonian cycle, but not all graphs having vertices of degree two necessarily have a hamiltonian cycle.

The paragraph you quoted explains the condition that guarantees the existence of a hamiltonian cycle.

[EDIT 1] "Can you please give me the example of a graph having degree 2 of each vertex but not having Hamiltonian Cycle please?"

Answer: Draw two independent triangles. Each vertex is if degree two, but you obviously cannot have a hamiltonian cycle.

However, if you have a hamiltonian cycle, that implies that all the vertices are at least of degree 2. Meaning that there is no way you will have a hamiltonian cycle if any of the vertices is of degree 0 or 1.

From a logical point of view, p => q is not equivalent to q => p. I walked in the rain without umbrella implies I got wet. I got wet does not mean that it was raining.

Graph has a hamiltonian circuit => each vertex has at least degree 2.

Each vertex has at least degree 2 does not => graph has hamiltonian circuit.

However:

"G = (V,E) has n ≥ 3 vertices and every vertex has degree ≥ n/2 => G has a Hamilton circuit."

Note: => is the symbol for implies

Because you need parentheses . . . or in:

Based on HERE routing API v8 documentation, when I removed Z from end of departureTime parameter in order to assume time is local to the origin, the time is shown correctly:

The best way is probably with AddCircuit. This constraint takes a directed graph where each arc is labeled with a literal and requires that the arcs labeled true form a subgraph where each node has in- and out-degree 1, and further that there is at most one cycle that is not a self-loop. By forcing an arc from the end to the beginning, we can use this constraint type to require that there is a single path from the beginning to the end.

The documentation is somewhat poor, so here's a working code sample. I'll leave the drawing part to you.

Since koalas.pivot_table() doesn't support margins, I would just add the totals manually:

You are calling get_translations, but ignoring the return value. Since get_translations_from_file has no explicit return statement, it implicitly returns None. To make a long story short, you need to return the value from get_translations: