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150. Evaluate Reverse Polish Notation.js
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150. Evaluate Reverse Polish Notation.js
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/**
Evaluate the value of an arithmetic expression in Reverse Polish Notation.
Valid operators are +, -, *, /. Each operand may be an integer or another expression.
Note:
Division between two integers should truncate toward zero.
The given RPN expression is always valid. That means the expression would always evaluate to a result and there won't be any divide by zero operation.
Example 1:
Input: ["2", "1", "+", "3", "*"]
Output: 9
Explanation: ((2 + 1) * 3) = 9
Example 2:
Input: ["4", "13", "5", "/", "+"]
Output: 6
Explanation: (4 + (13 / 5)) = 6
Example 3:
Input: ["10", "6", "9", "3", "+", "-11", "*", "/", "*", "17", "+", "5", "+"]
Output: 22
Explanation:
((10 * (6 / ((9 + 3) * -11))) + 17) + 5
= ((10 * (6 / (12 * -11))) + 17) + 5
= ((10 * (6 / -132)) + 17) + 5
= ((10 * 0) + 17) + 5
= (0 + 17) + 5
= 17 + 5
= 22
*/
/**
* Data Structure: Stack
* use stack to store operands and pop two operands when meet operator, and push back the resutl to stack
*
* Remember to use Math.trunc() to remove all fractional digits (works ofr positive and negative number)
* Not to use Math.floor() (works only positive number)
*/
/**
* @param {string[]} tokens
* @return {number}
*/
var evalRPN = function(tokens) {
// 1. Use stack to store numbers
// 2. Whenever there is an operator, pop two operands, do calculation and push the result in stack
// 3. The last number in stack is the answer
let stack = [];
for (let t of tokens) {
if (t === '+') {
let b = stack.pop();
let a = stack.pop();
stack.push(a + b);
continue
}
if (t === '-') {
let b = stack.pop();
let a = stack.pop();
stack.push(a - b);
continue
}
if (t === '*') {
let b = stack.pop();
let a = stack.pop();
stack.push(a * b);
continue
}
if (t === '/') {
let b = stack.pop();
let a = stack.pop();
stack.push(Math.trunc(a / b));
continue
}
stack.push(parseInt(t));
}
return stack[0];
};