You are given an array of strings equations that represent relationships between variables where each string equations[i] is of length 4 and takes one of two different forms: "xi==yi" or "xi!=yi".Here, xi and yi are lowercase letters (not necessarily different) that represent one-letter variable names.
Return true if it is possible to assign integers to variable names so as to satisfy all the given equations, or false otherwise.
Example 1:
Input: equations = ["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: equations = ["b==a","a==b"] Output: true Explanation: We could assign a = 1 and b = 1 to satisfy both equations.
Constraints:
1 <= equations.length <= 500equations[i].length == 4equations[i][0] is a lowercase letter.equations[i][1] is either '=' or '!'.equations[i][2] is '='.equations[i][3] is a lowercase letter.