Satisfiability of Equality Equations
You are given an array of strings equations that represent relationships between variables. Each string equations[i] has length 4 and takes one of two 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
falseIf
a = 1 and b = 1, the first equation is satisfied but the second is not, and there is no assignment that satisfies both equations.Example 2
Input
equations = ["b==a","a==b"]Output
trueAssigning
a = 1 and b = 1 satisfies both equations.Constraints
- 1 <= equations.length <= 500
- equations[i].length == 4
- equations[i][0] is a lowercase letter.
- equations[i][1] is either '=' or '!'.
- equations[i][2] is '='.
- equations[i][3] is a lowercase letter.