Huawei machine test question: Martian computing JS

Title Description ：

The known operators used by Martians are #、$, Its equivalent formula with earth man is as follows ：

x#y = 2x+3y+4

x$y = 3*x+y+2

among x、y It's an unsigned integer
The earthman formula is based on C Language rule calculation
In the Martian formula ,$ Has a higher priority than #, The same operator , Calculate from left to right There is a string message of Martian , Please translate and calculate the result .
Input description ：

Martian string expression （ Wrap without carriage return at the end ）
** Description of the entered string ： **

The string is only composed of unsigned integers and operators （#、$）

Calculation expression composed of . for example ：123#45#6778

The use case guarantees that , There is no separator between operands and operators .
The use case guarantees that the value range of operands is 32 Bit unsigned integer .
Ensure that there is no integer overflow in the input and calculation results .
Ensure that the input string is a legal evaluation message , for example ：123#45#6778
Ensure that there will be no illegal evaluation message , For example, a string like this ：
#4$5 // miss operand
4$5# // miss operand
4#$5 // miss operand
4 $5 // The space
3+4-5*6/7 // There are other operators
12345678987654321$54321 //32 Bit integer calculation overflow
Output description ：

Output the calculation result according to the input Martian string （ Wrap without carriage return at the end ）

Example

Input ：

7#6$5#12
Output ：

226
explain ：

7#6$5#12=7#(3*6+5+2)#12
=7#25