isProperlyNested interview question

isProperlyNested.js

function isProperlyNested(input) {

}

test("{}", true);
test("(()", false);
test("()[]", true);
test("(([{]))", false);
test("[(())]{}()", true);
test("[(()){}()", false);

function test(input, expected) {
  const output = isProperlyNested(input);
  const state = output === expected ? "PASS" : "FAIL";
  console.log(
    state + ': isProperlyNested("' + input + '") should equal ' + expected
  );
}

An interview programming question: the isProperlyNested function should take a string input and return a boolean: true if the brackets/braces/parenthesis in the string are properly nested, and false if they are not. You can expect the string input to only input the opening and closing characters ({ } [ ] ( )), and no others (that is, no need to clean the string).