Find the Symmetric Difference
The mathematical term symmetric difference (△ or ⊕) of two sets is the set of elements which are in either of the two sets but not in both. For example, for sets A = {1, 2, 3} and B = {2, 3, 4}, A △ B = {1, 4}.
Symmetric difference is a binary operation, which means it operates on only two elements. So to evaluate an expression involving symmetric differences among three elements (A △ B △ C), you must complete one operation at a time. Thus, for sets A and B above, and C = {2, 3}, A △ B △ C = (A △ B) △ C = {1, 4} △ {2, 3} = {1, 2, 3, 4}.
Create a function that takes two or more arrays and returns an array of their symmetric difference. The returned array must contain only unique values (no duplicates).
Solution:
function sym(...args) {
let arr = args;
if(arr.length < 2) {
return false;
}
let diff = twoArr(arr[0], arr[1])
if (arr.length === 2) {
return diff;
}
let result = diff
for(let i = 2; i < arr.length; i++) {
result = twoArr(result,arr[i])
}
function twoArr(x,y) {
let res = [];
for (let i = 0; i<x.length; i++){
if(!y.includes(x[i]) && !res.includes(x[i])){
res.push(x[i])
}
}
for (let i = 0; i<y.length; i++){
if(!x.includes(y[i]) && !res.includes(y[i])){
res.push(y[i])
}
}
return res;
}
return result;
}
sym([3, 3, 3, 2, 5], [2, 1, 5, 7], [3, 4, 6, 6], [1, 2, 3]);
PS: There can be multiple ways to solve this problem.
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