### solveRPN Solves the given mathematical expression in [reverse polish notation](https://en.wikipedia.org/wiki/Reverse_Polish_notation). Throws appropriate errors if there are unrecognized symbols or the expression is wrong. Use a dictionary, `OPERATORS` to specify each operator's matching mathematical operation. Use `String.replace()` with a regular expression to replace `^` with `**`, `String.split()` to tokenize the string and `Array.filter()` to remove empty tokens. Use `Array.forEach()` to parse each `symbol`, evaluate it as a numeric value or operator and solve the mathematical expression. Numeric values are converted to floating point numbers and pushed to a `stack`, while operators are evaluated using the `OPERATORS` dictionary and pop elements from the `stack` to apply operations. ``` js const solveRPN = rpn => { const OPERATORS = {'*' : (a,b) => a * b, '+' : (a,b) => a + b, '-' : (a,b) => a - b, '/' : (a,b) => a / b, '**': (a,b) => a ** b}; const [stack,solve] = [[],rpn.replace(/\^/g,'**').split(/\s+/g).filter(el => !/\s+/.test(el) && el !== '')]; solve.forEach(symbol => { if(!isNaN(parseFloat(symbol)) && isFinite(symbol)) {stack.push(symbol)} else if (Object.keys(OPERATORS).includes(symbol)) { const [a,b] = [stack.pop(),stack.pop()]; stack.push(OPERATORS[symbol](parseFloat(b),parseFloat(a))) } else { throw `${symbol} is not a recognized symbol` } } ) if(stack.length === 1) return stack.pop() else throw `${rpn} is not a proper RPN. Please check it and try again` } ``` ```js solveRPN('15 7 1 1 + - / 3 * 2 1 1 + + -'); // 5 solveRPN('3 5 6 + *'); //33 solveRPN('2 4 / 5 6 - *'); //-0.5 solveRPN('2 3 ^'); //8 solveRPN('2 3 ^'); //8 ```