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id	title	challengeType	forumTopicId
5a23c84252665b21eecc8046	Symmetric difference	5	16086

Description

Given two sets A and B, compute (A \setminus B) \cup (B \setminus A). That is, enumerate the items that are in A or B but not both. This set is called the symmetric difference of A and B. In other words: (A \cup B) \setminus (A \cap B) (the set of items that are in at least one of A or B minus the set of items that are in both A and B).

Instructions

Write a function that takes two arrays as parameters and returns the symmetric difference. Sort the resultant array before returning it.

Tests

tests:
  - text: <code>symmetricDifference</code> should be a function.
    testString: assert(typeof symmetricDifference == 'function');
  - text: <code>symmetricDifference(["John", "Bob", "Mary", "Serena"], ["Jim", "Mary", "John", "Bob"])</code> should return an array.
    testString: assert(Array.isArray(symmetricDifference(["John", "Bob", "Mary", "Serena"], ["Jim", "Mary", "John", "Bob"])));
  - text: <code>symmetricDifference(["John", "Bob", "Mary", "Serena"], ["Jim", "Mary", "John", "Bob"])</code> should return <code>["Jim", "Serena"]</code>.
    testString: assert.deepEqual(symmetricDifference(["John", "Bob", "Mary", "Serena"], ["Jim", "Mary", "John", "Bob"]), ["Jim", "Serena"]);
  - text: <code>symmetricDifference([1, 2, 3], [3, 4])</code> should return <code>[1, 2, 4]</code>.
    testString: assert.deepEqual(symmetricDifference([1, 2, 3], [3, 4]), [1, 2, 4]);
  - text: <code>symmetricDifference([1, 2, 3, 4, 5], [3, 4, 8, 7])</code> should return <code>[1, 2, 5, 7, 8]</code>.
    testString: assert.deepEqual(symmetricDifference([1, 2, 3, 4, 5], [3, 4, 8, 7]), [1, 2, 5, 7, 8]);
  - text: <code>symmetricDifference([1, 2, 3, 4, 5, 6, 7, 8], [1, 3, 5, 6, 7, 8, 9])</code> should return <code>[2, 4, 9]</code>.
    testString: assert.deepEqual(symmetricDifference([1, 2, 3, 4, 5, 6, 7, 8], [1, 3, 5, 6, 7, 8, 9]), [2, 4, 9]);
  - text: <code>symmetricDifference([1, 2, 4, 7, 9], [2, 3, 7, 8, 9])</code> should return <code>[1, 3, 4, 8]</code>.
    testString: assert.deepEqual(symmetricDifference([1, 2, 4, 7, 9], [2, 3, 7, 8, 9]), [1, 3, 4, 8]);

Challenge Seed

function symmetricDifference(A, B) {

}

Solution

function symmetricDifference(A, B) {
  function relative_complement(A, B) {
    return A.filter(function(elem) {
      return B.indexOf(elem) == -1;
    });
  }

  function unique(ary) {
    var u = ary.concat().sort();
    for (var i = 1; i < u.length; ) {
      if (u[i - 1] === u[i]) u.splice(i, 1);
      else i++;
    }
    return u;
  }

  return unique(
    relative_complement(A, B).concat(relative_complement(B, A))
  ).sort();
}

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