### What are Disjoint Sets?

Disjoint sets are sets whose intersection is the empty set. For example, {0, 1, 2} and {3} are disjoint sets, while {0, 1, 2} and {2, 3} are not.

### Problem

Given some separated elements grouped in disjoint sets. `Find`

whether 2 elements in the same set or not.

### Approach

**How to determine if 2 elements are in the same set?**Check if they have the same root/representative.**How to determine the root/representative of a set?**Unionizing 2 elements by a bigger index or by a higher rank.

## Implementation

`Find`

with compress path and`Union`

by bigger index

```
```

Initial state of `parents`

Final state of `parents`

after all unionizing

`Find`

with compress path and`Union`

by higher rank

```
```

Initial state of `parents`

Final state of `parents`

after all unionizing