ms-basic

Each implementation of gcd is the mirror image of the other.

In the second example, if the variables a and b were swapped, you would get the first version. Hence these gcd implementations are equivalent. The only thing that changes, is the order of a and b.

This algorithms is know as Euclidean division. From Wikipedia:

At every step k, the Euclidean algorithm computes a quotient q_k and remainder r_k from two numbers r_k-1 and r_k-2

r_k-2 = q_k r_k-1 + r_k

where the r_k is non-negative and is strictly less than the absolute value of r_k-1. The theorem which underlies the definition of the Euclidean division ensures that such a quotient and remainder always exist and are unique.

In Euclid's original version of the algorithm, the quotient and remainder are found by repeated subtraction; that is, r_k-1 is subtracted from r_k-2 repeatedly until the remainder r_k is smaller than r_k-1. After that r_k and r_k-1 are exchanged and the process is iterated. Euclidean division reduces all the steps between two exchanges into a single step, which is thus more efficient. Moreover, the quotients are not needed, thus one may replace Euclidean division by the modulo operation, which gives only the remainder. Thus the iteration of the Euclidean algorithm becomes simply

r_k = r_k-2 mod r_k-1

• Euclidean division (Wikipedia main article)
• The Euclidean Algorithm (Khan Academy)

update data is not working because you put input name value as cc-payment name="cc-payment" for all. it should be unique of each input. as per your post request, it should be like this :

exam :

According to your code you have declared constructor like this:

Do I understand right that there is always only one unnamed module in JPMS?

Yes, there is one unnamed module. The unnamed module is very similar to the existing concept of the unnamed package.

In implementations of the Java SE platform that use a hierarchical file system for storing packages, one typical strategy is to associate an unnamed package with each directory; only one unnamed package is observable at a time, namely the one that is associated with the "current working directory". The precise meaning of "current working directory" depends on the host system.

Does it mean that applications that were developed before Java9 and not updated for Java9 will be loaded as one unnamed module?

Yes, for those jars placed on the classpath would be treated as a single unnamed module. The bottom up migration with the concept of unnamed modules illustrates this with a similar example as:

Suppose, e.g., that the application shown above had originally been built for Java SE 8, as a set of similarly-named JAR files placed on the class path. If we run it as-is on Java SE 9 then the types in the JAR files will be defined in the unnamed module.

The actual question that can arise here is Which class loader is the unnamed module associated? The State of Module System about unnamed module states a clarification instead about this.

Every class loader, it turns out, has its own unique unnamed module, which is returned by the new ClassLoader::getUnnamedModule method. If a class loader loads a type that is not defined in a named module then that type is considered to be in that loader’s unnamed module, i.e., the getModule method of the type’s Class object will return its loader’s unnamed module. The module colloquially referred to as “the unnamed module” is, then, simply the unnamed module of the application class loader, which loads types from the classpath when they are in packages not defined by any known module.

The ClassLoader as revised in Java-9 states that:

The Java run-time has the following built-in class loaders:

• Bootstrap class loader: The virtual machine's built-in class loader...

• Platform class loader: ... To allow for upgrading/overriding of modules defined to the platform class loader, and where upgraded modules read modules defined to class loaders other than the platform class loader and its ancestors, then the platform class loader may have to delegate to other class loaders, the application class loader for example. In other words, classes in named modules defined to class loaders other than the platform class loader and its ancestors may be visible to the platform class loader.

• System class loader: It is also known as application class loader and is distinct from the platform class loader. The system class loader is typically used to define classes on the application class path, module path, and JDK-specific tools. The platform class loader is a parent or an ancestor of the system class loader that all platform classes are visible to it.

As you have not update any fiddle yet. Watching to your code what I have found wrong is with the class attribute which you have mentioned multiple times

Best practice to animate any HTML component is use animation keyframes in CSS.