## SortedSet

Implementation of Immutable Sorted Set collection.

You can get it by downloading it directly or by typing:

`$ pip install SortedSet`

After it is installed you can start it by simply typing in your terminal:

`$ SortedSet(['list_of_integer_data'])`

For example

`$ SortedSet([1, 2, 5, 3, 3, 1])`

Would return the following

`$ SortedSet([1, 2, 3, 5])`

## SortedSet Operations

## Union

You can add two SortedSets together either by using '+' operator, calling .union() method on one of the sets and providing the other, or by using union operator '|'.

Take for example these two SortedSets

```
$ a = SortedSet([1, 2, 5, 3])
$ b = SortedSet([2, 4, 6])
```

We could add them together by running any of these commands

```
$ a + b
$ a.union(b)
$ a | b
```

In all three cases the result would be the SortedSet

`$ SortedSet([1, 2, 3, 4, 5, 6])`

## Difference

You can subtract two SortedSets either calling .difference() method on one of the sets and providing the other, or by using difference operator '-'. Be aware that ordering of SortedSets matters.

Take for example the same two SortedSets we already used

```
$ a = SortedSet([1, 2, 5, 3])
$ b = SortedSet([2, 4, 6])
```

We can subtract them by running one of these two commands

```
$ a - b
$ a.difference(b)
```

In both cases the result would be the SortedSet

`$ SortedSet([1, 3, 5])`

If we were to switch the order of the operands

```
$ b - a
$ b.difference(a)
```

We would get entirely different result

`$ SortedSet([4, 6])`

## Symmetric Difference

You can find unique members that are only contained in one of the two SortedSets either by calling .symmetric_difference() method on one of the sets and providing the other, or by using symmetric difference operator '^'.

```
$ a = SortedSet([1, 2, 5, 3])
$ b = SortedSet([2, 4, 6])
$ a.symmetric_difference(b)
$ SortedSet([1, 3, 4, 5, 6])
$ b ^ a
$ SortedSet([1, 3, 4, 5, 6])
```

## Intersection

You can find unique members that are contained in both of the two SortedSets either by calling .intersection() method on one of the sets and providing the other, or by using intersection operator '&'.

```
$ a = SortedSet([1, 2, 5, 3])
$ b = SortedSet([2, 4, 6])
$ a.intersection(b)
$ SortedSet([2])
$ b & a
$ SortedSet([2])
```

## Superset, Subset and Disjoint

It is also possible to check if one SortedSet is a superset or subset of another either by using .issuperset() and .issubset() methods or by using operators '>=' and '<='.

```
$ a = SortedSet([1, 2])
$ b = SortedSet([1, 2, 3])
$ a.issuperset(b)
$ False
$ a >= b
$ False
$ a.issubset(b)
$ True
$ a <= b
$ True
```

You can find out are two SortedSets disjoint, meaning that they have no common members by running .isdisjoint() method on one of the SortedSets.

```
$ a = SortedSet([1, 3])
$ b = SortedSet([6, 4, 8])
$ a.isdisjoint(b)
$ True
$ a = SortedSet([4, 3])
$ b = SortedSet([6, 4, 8])
$ b.isdisjoint(a)
$ False
```

## Other operations

Other supported operations are:

len() contains() comparison of two SortedSets for equality or inequality access to SortedSet members by their index

```
$ a = SortedSet([1, 3, 7, 5])
$ len(a)
$ 4
$ a.contains(1)
$ True
$ a.contains(31)
$ False
$ b = SortedSet([2, 3])
$ a == b
$ False
$ c = SortedSet([3, 1, 5, 7])
$ a == c
$ True
$ a != b
$ True
$ a[0]
$ 1
$ b[1]
$ 3
```