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Create a function that takes two or more arrays and returns an array of the symmetric difference (△ or ⊕) of the provided arrays. Given two sets (for example set A = {1, 2, 3} and set B = {2, 3, 4}), the mathematical term "symmetric difference" of two sets is the set of elements which are in either of the two sets, but not in both (A △ B = C = {…
function sym(args) {
//Put the arguments into an array
var arrArgs =;
//Function to compare two arrays by reducing each one in
//comparison with the other. Check if the item in first array
//is also in the second array, if it isn't push it to the accumulator.
//then repeat the other way around.
function compareArrays(arr1, arr2){
var arr1red = arr1.reduce(function(collect, current){
//to remove doubles, check the item is not already collected.
if(!arr2.includes(current) && !collect.includes(current)){
return collect;
var arr2red = arr2.reduce(function(collect, current){
if(!arr1.includes(current) && !collect.includes(current)){
return collect;
//join the two arrays together and return the result
return arr1red.concat(arr2red);
//Reduce the arguments array to a single array that contains only elements
//that are the symmetric difference. (First compare the first two arrays, then
//compare the result of that with the next array);
return arrArgs.reduce(compareArrays);
sym([1, 2, 3], [5, 2, 1, 4]);
sym([1, 2, 5], [2, 3, 5], [3, 4, 5]);
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