# GeetCode Hub

Given an array equations of strings that represent relationships between variables, each string `equations[i]` has length `4` and takes one of two different forms: `"a==b"` or `"a!=b"`.  Here, `a` and `b` are lowercase letters (not necessarily different) that represent one-letter variable names.

Return `true` if and only if it is possible to assign integers to variable names so as to satisfy all the given equations.

Example 1:

```Input: ["a==b","b!=a"]
Output: false
Explanation: If we assign say, a = 1 and b = 1, then the first equation is satisfied, but not the second.  There is no way to assign the variables to satisfy both equations.
```

Example 2:

```Input: ["b==a","a==b"]
Output: true
Explanation: We could assign a = 1 and b = 1 to satisfy both equations.
```

Example 3:

```Input: ["a==b","b==c","a==c"]
Output: true
```

Example 4:

```Input: ["a==b","b!=c","c==a"]
Output: false
```

Example 5:

```Input: ["c==c","b==d","x!=z"]
Output: true
```

Note:

1. `1 <= equations.length <= 500`
2. `equations[i].length == 4`
3. `equations[i][0]` and `equations[i][3]` are lowercase letters
4. `equations[i][1]` is either `'='` or `'!'`
5. `equations[i][2]` is `'='`

class Solution { public boolean equationsPossible(String[] equations) { } }