Published May 09, 2022
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Evaluate the value of an arithmetic expression in Reverse Polish Notation.
Valid operators are +
, -
, *
, and /
. Each operand may be an integer or
another expression.
Note that division between two integers should truncate toward zero.
It is guaranteed that the given RPN expression is always valid. That means the expression would always evaluate to a result, and there will not be any division by zero operation.
Input: tokens = ["2","1","+","3","*"]
Output: 9
Explanation: ((2 + 1) * 3) = 9
Input: tokens = ["4","13","5","/","+"]
Output: 6
Explanation: (4 + (13 / 5)) = 6
Input: tokens = ["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
1 <= tokens.length <= 104
tokens[i]
is either an operator: "+"
, "-"
, "*"
, or "/"
, or an integer in the range [-200, 200]
.function evalRPN(tokens: string[]): number {
const stack: number[] = [];
for(let c of tokens){
if(c === '+') {
stack.push(stack.pop() + stack.pop())
} else if(c === '-'){
const num1: number = stack.pop()
const num2: number = stack.pop();
stack.push(num2 - num1)
} else if(c === '*'){
stack.push(stack.pop() * stack.pop())
} else if(c === '/'){
const num1: number = stack.pop()
const num2: number = stack.pop();
const temp: number = num2/num1;
stack.push(temp > 0 ? Math.floor(temp) : Math.ceil(temp))
} else {
stack.push(parseInt(c))
}
}
return stack[0]
};