2020-12-18

Day 18: Operation Order

Description:
As you look out the window and notice a heavily-forested continent slowly appear over the horizon, you are interrupted by the child sitting next to you. They're curious if you could help them with their math homework.

Unfortunately, it seems like this "math" follows different rules than you remember.

The homework (your puzzle input) consists of a series of expressions that consist of addition (+), multiplication (*), and parentheses ((...)). Just like normal math, parentheses indicate that the expression inside must be evaluated before it can be used by the surrounding expression. Addition still finds the sum of the numbers on both sides of the operator, and multiplication still finds the product.

However, the rules of operator precedence have changed. Rather than evaluating multiplication before addition, the operators have the same precedence, and are evaluated left-to-right regardless of the order in which they appear.

For example, the steps to evaluate the expression 1 + 2 * 3 + 4 * 5 + 6 are as follows:

1 + 2 * 3 + 4 * 5 + 6
3 * 3 + 4 * 5 + 6
9 + 4 * 5 + 6
13 * 5 + 6
65 + 6
71

Parentheses can override this order; for example, here is what happens if parentheses are added to form 1 + (2 * 3) + (4 * (5 + 6)):

1 + (2 * 3) + (4 * (5 + 6))
1 + 6 + (4 * (5 + 6))
7 + (4 * (5 + 6))
7 + (4 * 11 )
7 + 44
51

Here are a few more examples:

2 * 3 + (4 * 5) becomes 26.
5 + (8 * 3 + 9 + 3 * 4 * 3) becomes 437.
5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4)) becomes 12240.
((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2 becomes 13632.

Before you can help with the homework, you need to understand it yourself. Evaluate the expression on each line of the homework; what is the sum of the resulting values?

--- Part Two ---

You manage to answer the child's questions and they finish part 1 of their homework, but get stuck when they reach the next section: advanced math.

Now, addition and multiplication have different precedence levels, but they're not the ones you're familiar with. Instead, addition is evaluated before multiplication.

For example, the steps to evaluate the expression 1 + 2 * 3 + 4 * 5 + 6 are now as follows:

1 + 2 * 3 + 4 * 5 + 6
3 * 3 + 4 * 5 + 6
3 * 7 * 5 + 6
3 * 7 * 11
21 * 11
231

Here are the other examples from above:

1 + (2 * 3) + (4 * (5 + 6)) still becomes 51.
2 * 3 + (4 * 5) becomes 46.
5 + (8 * 3 + 9 + 3 * 4 * 3) becomes 1445.
5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4)) becomes 669060.
((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2 becomes 23340.

What do you get if you add up the results of evaluating the homework problems using these new rules?

Input:
(3 + 8 * 9 * (4 * 6 + 3 + 4)) * 9 + 9 * 7 * ((9 * 7) + 4)
(9 + (9 * 3 + 2 * 2 + 6 * 2) + 7 + 9) + 5
8 * 7 * (3 + (2 * 5 + 8)) + 6 + 8 + 6
(4 * 6 + 7 + 7 * 4 + 7) * (5 + 6 * 6 * 6 * 8) * 8 * (5 * 4 * 9 + 4 + 3 * 9) * 3
(8 + 8 * 2) * 9 * 5 + (2 + 2 + 3 * 7 * 5 + 6) + 5
(4 * (2 + 4) + 3 + (7 * 5 * 6 * 5 + 2 + 9)) + 8 * ((6 * 6 + 2 + 7 + 2) * (4 * 9 * 7 * 4 * 7)) + 8 * 2 * 4
(5 + 4 + 6) * (6 * 7 + 5 * 9 * 6) * 6 + ((4 + 5 + 3 * 5 + 6) * 6 + 2)
(4 * 7) * 2 * (2 * 9 * 6 + 8)
7 * (3 * 4 * 5 * 8)
(8 * (9 + 5 * 5 + 9 + 5 + 2) * 6) * (4 + 5 * 9 + (7 + 2 + 8) + 5 * 7) + 3
(2 * 4 * (3 * 4 * 5) + 5) * 2 + (6 * 4) + ((4 * 4) * 3 + 2 * 6) + 9 * ((7 * 6 * 8 + 2 + 7 + 9) * 7 + 3 * (8 + 7) * 6)
6 * 3 * (9 * 2 + 8)
2 + (6 * 4) * 7 * 7
2 + (9 + (9 + 7 + 3 * 4 + 6 * 7) * 9) * (7 * (5 * 8 + 8 + 6 + 6) * 7)
(2 + (5 + 5 + 9 * 4) + 3) * 2 + 2 * 6 * 4
5 * 3 * ((8 + 8 + 7 + 3 + 2) + 9)
((9 * 4 + 5 + 7) * 8 * 3 * 6 * (7 + 8 + 8 * 7 * 5)) + 5 + 8 * 9
(5 * 7 * 5 + (8 * 3 * 9 * 3)) * (8 + 7 + 8) + (2 + (3 * 7 + 4 * 8 + 4 * 3) * 3)
7 + 4 * (3 + 9 * 5 + 3 * 3) * (5 * 7 + 5 + 3)
(7 * 9 * 3 + (2 * 7 * 4 * 5 + 8 + 8)) * ((9 + 6 * 3) + 8 + (3 + 4) * 6 * 8 * 6) + 6 * 4
4 * (3 * 4 + 3 + 4 * 4 + 9) + 5 + 8
3 + 7 * (4 * (6 * 9 * 3 * 2 + 5 + 3) + 5) + 4 + 9
5 + 6 * 2 * 5 + (9 + 6)
4 * (4 * 6) + 7 * (3 * 3 + 6) * 8
((8 + 8) + (7 + 4) + 5 * (9 * 2 * 9 * 8) * 5 * (2 + 3 * 3 + 2 * 5)) + 5 * 7 * (4 * 7 + (3 + 3 * 5 * 5 + 5 + 2) + 8 * (2 + 2 + 9 + 6 + 3)) + 2
6 + 8 + (3 * (8 * 2 + 3) + 9 * 6 + (7 + 9 + 3 * 6) + (7 * 3 * 7))
7 + (5 * 7 * 6 * 3) + 5
7 + 5 + (3 + 8 * (6 + 8 * 3))
9 + (9 + 2 * 3 + 8 * 7) + 6 + (4 + 2)
(4 + 8 * 7 * 9 + 7 + (4 + 7 + 2 * 3)) + (2 + 7) * 6 * 6 * 6 + 9
2 + 5 + 8
6 + ((4 * 8) * 9 * 2 + 7)
6 + 9 + 6 + 4 * 5 + (8 * 9 + 9 + 4 + (5 * 3 + 8 * 7 * 4 * 7) + 5)
9 + (8 * 2 * 5 * 5 + 6)
(4 * 3 + (2 + 3 * 6 + 2) * (9 + 8 + 2 + 8 * 6 * 2)) + 9 + 3
((5 * 9) * (7 + 7) * 8 + 6 + 9 * 3) + (2 + 7 + 7 * 9 + 4)
((5 + 5 * 2 + 8 + 2) * (7 + 4 + 5) * (3 + 2 + 5 + 5 + 6) * 2) * 4 * 5 + 9 * 6 * 9
8 + (4 + (5 + 9 * 9) + 7) + ((7 * 3) + 7 * (4 + 7 * 5 + 8 + 7 + 9) * 3 * 5 + 3) + 4 * 3 * 4
((8 * 5 * 7 + 4) + 5) + 2 + (4 + (7 * 9 + 2 * 9 + 5 + 6) + 3 + 8 * (3 + 9 * 8 + 5 + 6 + 2)) * 7
6 * 9 * (3 + 9 + 9) + 7
4 + 4
(2 + (3 * 8 + 6 * 6 * 8) * 3) + ((3 + 6 + 2 * 6 * 6 + 4) * (7 * 4 + 4 * 9) + 3 + 5 * (7 * 3 * 9 * 4 + 3 + 2)) + 3
(2 + (7 * 3 + 4 * 8)) + 5 + 2
(3 + (8 + 9 * 2 + 4) * (9 * 7 * 8)) + (3 * 2) * 7 * 5
5 + 7 + 3 + ((2 * 9 + 8) + 9) * 7 + 7
(4 * 4 * 2 + (2 + 2) * 8 * 2) * 4 + (5 + 6 + 3 * 6 + 2 * 2) * 9 + 6 + 9
9 + 9 + ((8 * 5 * 6) * 3 + 2 * 2 + (2 * 4 + 7 + 6 + 7) * 3)
((6 * 9 + 6 * 3) * (5 * 7) + 2) + (2 + 6 + 6 + (6 * 3 * 3 * 5 * 5) * 4)
2 * 4 + 2 + 3 + 3
9 * 2 + 6 * 6 * 4 + 7
3 * (4 + (6 * 5 * 7 + 7 + 4) + 6 + 8) * 8 * 3 * 6 * 2
5 * (7 + (4 * 3 * 9) * 8 * 6) * 2
3 + 6 + (5 + 4) * 7 * 2
7 + (6 * 6 * 4) * 9 + 9 + 3
9 + ((2 * 5 * 7 * 9 + 2) * (2 + 6 + 7) + 8 * 2 * 9 + 8) * (2 + 2 + 6 * 8 + (8 * 6 + 3 * 6) * 3) * 6 + 8
(5 + 2 + 6) * (7 * 7 * 8)
(6 * 2 + 9) + 9 * (3 + 9 * 5 + 3)
5 + 2 + (6 + (9 + 2 + 5 * 5 * 8 + 5)) + 3 * 2 + (4 + 4 * 2 * 6)
6 + 4 * (8 * 5 + 4 * 2) + 8
9 * 6 * 6 + 2
7 * (6 + 2 + 4 * 5 + 6) * 6 * (6 + (8 + 9 * 9 + 9) * 8) + 8 + (3 + 2)
5 * 2 * (4 + 8) + 8 * 3 + (2 + 8 + 8 * 6 * 9)
3 + 6 * (8 + (2 + 9 + 5 + 2 * 6) + 3 * 9 * 7 + 2) + 3 + 5
(6 + 9 + 5 + 7 * (5 * 5 + 6 * 5) + 3) * 9 + 4
4 * (3 * 9 + (9 + 9 + 6 + 7)) * 8 + (2 * 8 + 2 * (2 * 8) * 4 * (4 + 6)) * (4 * 6 * (9 * 5 + 9 * 3 * 6) * 2) + 7
4 * 3 + (4 + 8 + 4) * 7 * 3 + 9
4 * 8 * 3 * (3 * (9 + 9 * 8 + 3 + 4) + 8 * 6 + 6)
2 + 8 * (5 * 4 + 3 + 9) * 2 * 8
3 * 8 + 4 * 6 + (5 * 8 * 3 * 8)
2 + 7 * (3 + 5 + 2 + 5) * 7 + 9 * 4
2 * 4 + 5 * (6 * 7 + 3 * 8 + 4) + (2 * (4 + 6 + 7 + 5 * 2 * 2) + (6 * 4 * 4 + 3 + 7) + 6 + 8)
3 + ((6 + 9 + 7) * (2 + 3) * 6) * 2 * (3 * 3 + (9 * 2 + 8) * 7) * 4 + 7
8 * (2 + 9) * (6 + (3 * 5 + 7 * 8 + 5 + 9) * 6 * 9) * 6
6 + 9 * 8 * 5 + (8 + 5 + 7 * (6 * 6 * 5) * 5 * 7) + (4 + 6 * 2 * 9 * 5)
2 * 8 + 3 * 4 * (2 * 8 + 7 + (6 + 9 * 7 + 2 * 9)) * 2
5 * (9 + (9 * 6 * 2 + 2) + 6 * 6) + (5 * 4) * 7 * 6
((9 + 8 * 7 * 4 * 2) + 3 + 3 * 5) * 8 + 5 + 9 * 4 * 5
9 + ((9 + 9) + 4 + 4 + 3 + 6 + (3 + 6)) + 6 * 9 + ((6 + 2 + 3) * 4)
6 + ((3 * 5 * 4 + 6) + 6 * 5 + 4 * 9 + (3 + 9 * 2))
3 + 3 + (7 + 8) + 8 * (4 * 9 + 8 * 9 + 9 * 9)
(5 * 9 * 7 * 4) + 6 + 3 * 5
(7 * 8 * 3 + 4 + (8 + 7) * 4) * 2 + 8 + 5 + 4 * 4
9 + (8 * 6 + 2 * (8 * 6 + 4 + 2 * 5 + 2) + 4)
(7 + 5 + (2 + 4 + 6)) + 9 + 5
(4 + 2 * 5 * 6 + 3) * 2 + 2
((7 * 8 * 8 + 8 + 5 * 6) * 6 * 8) * 5 * 4 * (7 + 3 * (8 + 6 + 5 + 8) * 8 + 9) * 3 * 9
3 + 9 * 8 * (7 + 8) + (9 + 6 + 5 + (8 + 4 + 6 * 5 * 9 * 7))
5 + 2 + 6
(9 + 2 * 7 + (9 + 3 + 6 * 7) * (9 + 3 * 4)) + 8 * 6 + ((3 * 6 + 8 * 6) + 4 * 4 * 8) + 6 * 6
3 + 7 * (8 + 7 * (7 * 2 + 6 + 4 + 3 * 9) + 8 * 7) * ((4 + 7) + 8 + 9 + 5) * 3 + ((2 * 8 + 2 * 3) + 3 + 8)
8 + 5 * 9 * (5 + 3 * 4 * 8 * 8) * 7 + (2 + 9 * 4 + 4 + 3 + 8)
6 + (9 + 4) + 4 + ((7 + 8 * 3 * 6) * 2 + 6 + 9 * 6) + ((2 + 2 + 3 + 3 + 5) * 5 + 5 + 8 + 7 + 4)
(4 + 6 + 7 + (7 * 4 + 7 + 2 + 2)) + 4 * ((9 * 9 + 8) + 3 * 3) + 4
5 * (4 + (6 * 9) * 2 + 5 * 8)
(7 * 5 + (6 + 2 * 3 + 3 + 2 + 7) * 6 + 5 + 8) + 3 + 5
(6 + 4 * 8 + 8 * (7 + 4 + 3 + 9 + 3)) * 5 + (3 + 7 + 4 + (2 + 6 + 5 * 2 + 2) + 7) * 8 + 4
8 * ((5 * 9 * 7 * 6) * 5 + 3) * 9 * (6 * 6 * 8 * 2)
((4 * 4) + 2) * 5 + 8
6 * (4 + (8 + 7 + 8 + 6)) + (9 + 5 * 5 * 6 + 9)
((5 + 9 * 6 * 7 + 7 * 3) + 8 + 2 * 8 + 9 * 5) * 2 * 9 * 4 * 6
(7 * 5 * 9 + 4) * 3 + 5
(5 + 5) + 8 * 9 + 2 * 8 + (7 + 4)
8 + (4 * 7 * (7 + 5 * 3 + 7) * 9) * 8
2 * (7 * 8 + (7 + 5 + 9 + 8)) * 9 + 9 + 9
9 + 8 + (2 + 6 * (9 * 2 * 7 * 7) + 5 + 2 * 5) + 4 + 5
(9 + 3 * 4 + 2 * 9) + (7 + 4 + 9)
2 * (5 * 5 * 6 * (5 * 6 + 2 + 9 + 5 * 3)) * ((2 * 5 * 6 + 5 + 8) + 8 * 2 + 7 * 9 * 2) + 7 * 2
9 * 2 + 7 + 3 + ((9 * 9 * 3 + 7 * 2) + 2 * 2 * (5 * 8 * 3 + 2 * 9 + 6) * 3)
4 + (4 * 9 * 2 + 9 + 9 + 2) + 6 * 2 * (7 + 9)
2 + 4 + (5 * 9 * 4 + (2 * 4 * 2) * (5 + 8 + 5 * 8 * 4 + 6) + 2) + 9 + 6
(7 + 9 * 7 + 8 + 3) * 7 * 6 + (2 + 9 * 7 + 5 * 5) + 2 * ((4 + 3 * 5 + 8) + 7 * 3 * 6 * 9 * 6)
(4 * 8 + 8 * 2) + 5 + (5 * 7 + 6 + 2 + 7 + 2) + 3
9 * (5 * (2 + 3 + 4 * 3)) * 5 + 9 + 9 * 9
9 * 5
5 + (9 * 6)
7 + 7
3 * 4 + 3 + (7 + 3 + 4 + 8 * 4)
8 * (5 + 3 + 3 + 2 * (4 + 6)) + (8 + 5 * 9) * 6
5 + (2 + (6 * 2)) + 5 + 8 * 9 * 3
(9 * 4 * 6 * (4 + 8 * 5) * 5 + 6) + 2 * 8 + 6 * (3 * (6 * 2 * 9 * 4 * 2 * 8) + 9 + (8 * 9 + 3 * 4 + 3 + 8) + 4 + 7)
8 * (5 * 8) + (7 + 7 * 5 * 6 * 3 * 4) + (4 * 7) * (3 * 6 + 9 * 4 * 2)
2 + (8 + 7 * 2 * (6 * 4 + 9 + 7 * 8) + 2) + 4 * 4
2 * (7 + 3 + 2 + (9 + 4 + 8 + 9)) * 2
9 * 8 + ((9 * 8) + 8 + 9 * 3 * 6 + 8) + 5 * 6 + (7 + (3 + 5 + 8 + 7) + 2 * (7 * 5 + 5 * 7) * (8 + 3 + 8) * 4)
2 + 5 + 4 * (6 * 2 * (8 + 8 + 7) + 3 * 9 * 9)
(5 * 5) + 4 * 9 + 8 * 8
((4 + 5 * 4 + 2) + (2 * 9)) * (2 + 4 + 3 * 9) * 9 + ((2 + 7) + 9 * (3 + 6 + 2 + 3) * (7 * 8 + 5 * 6) * 9) * 8 * 6
2 * 9 * (8 * 6 + 6) + 4 * (5 * 8 * 6 * 4)
6 * 7 * 2 * 3 + (8 + 8) * 6
(5 * 7) + 3
8 * 2 * (8 + 8)
5 * 7 + (6 + 4 * 3) + 3 + 9
6 * 2 * 6 * 2 + 8 * 4
(2 * 8 + 9 * 6 * (7 + 3 + 4 * 4 + 4 * 9)) + 2 + (6 + 3 * 5 + 4 + 9 + 8) + (3 * 7 + 3 * 2 + 6)
((3 * 8 * 8 * 4 + 6 * 6) * 7) * 6
(2 + 6 * 2 * 8 * (2 + 6 + 5 * 6) * 4) + 9 * 2 + 7
3 + 4 * 4 + 8
((8 * 6 * 8 + 7) * 8 * 7) * 4 + ((5 + 3 * 9 + 2 + 3 * 4) + 2 + 6 + 4 + (4 + 3 + 2)) * 7
((6 * 9 * 4 + 5) * 5) * 7 * 3 * 7
2 * 5 + 8 * ((6 + 5 * 6 * 5 * 3 * 2) * (7 * 7) * (8 * 3 * 3 * 3 * 8) * (6 + 8 * 9 + 9 * 4)) * 5 * 6
6 * ((6 * 7) + 9)
8 + 2 + 5 * 3 * ((4 + 3 + 8) + 7 + 5 * 6 * (2 * 6 * 2)) * 9
(5 * 5 + (2 * 9 + 8) + 8 * 8 * (3 * 6)) * 9 * 3 * 2
(9 * 8 * 7) * 7 + 7 * 4 + 8 * 7
((3 + 8 + 2 * 7) + 3 + 7 * 2) + 4 + 3
6 * 5 + 3 + (4 + 6 * 2 + (2 * 7)) + 2 * 2
7 * (4 * 9 + 3 + 4 * 2 * 5) * 9 + 7 * (9 + 6 * 7 * 8) * 3
((2 + 2) + 8 * 7 + (5 + 6 * 7 * 9 * 3) + 6 + 4) * 9
((6 * 5 * 2 * 4) * 6 * 6 + 2 + 7 + 6) + 2
7 * 4 + 3 * 3 * 9
5 * ((3 + 9 * 2) * 6 * 3 * (5 * 3) * 6 + 6) * 4
(3 * 7 * 9 + 9 * 6) * 5
6 + (8 + 5 * 3 * (7 * 6 + 5 + 4 * 7 + 8))
4 * 2 * 4 * (7 + 8 * (7 * 5 + 3 * 3))
((5 + 9 + 4 * 2) * 2 * (7 * 3 + 7 + 3 * 8 + 6) + 9 + (2 + 6 + 7 * 2 * 9) * 8) + 7 * (4 + 4)
9 + (7 * (8 * 2 + 5 * 8 + 7) * 7 + 6 + 6 * 2) * 2
(2 * 4) + 6 + (8 * 7 + 8 * 2 + (5 * 7 + 9 + 8 * 8))
3 + (3 + 2 * (5 * 4)) * 2 + (4 + 2 + 6 * (4 + 7 + 2)) * 3
(9 * 6 + 9) + (9 * 8 * (4 * 6 + 5 * 6 * 4)) + 3 + 2 * (9 + 3 + 5 + 5 + (4 + 8 + 8 + 2 * 5))
(8 + 7 * 3 + 2 * 5 * 4) * 4 * 9 + (2 + 5)
6 * 5 + 6 * 9 + 2
(3 * 3 + 5 * 6) + 2 * 5 * 3 + 8 * 7
(8 + 9) * 5 * 7
7 + (2 * 8 + (6 + 5 + 2 + 3 * 8 + 3)) * 8 * 3 * 4
(6 + 9 * 2 * 2 + 4 * 7) + 2 * (9 + 9 + 8 + 9 + 7) + (2 + 5 * 6 * 3 + 3 + 3)
3 + 3 + ((2 + 2 + 9 * 8 * 9) + 4 * 8 + 6 + 8 + 6) * 9 * (4 + (8 * 8 + 5 * 9 * 9 * 9) + (3 + 4) + 6 + 9) * 7
9 + (3 + (4 + 6 + 9 * 2 * 7 * 4) * 9) + 9
7 + (4 + 8) * 2 * 9 * 9
6 + (9 * (5 * 4 * 3 * 5) * 4)
3 * 8 + 4 + 2 + 5 * (4 * (8 * 6 + 2 * 5 + 8 * 4))
(4 + 9 * 3) * 2
5 + 3 * ((9 + 6) * 5 * (3 + 8 + 4))
((9 + 5 * 2 + 9) + 7 + 6 + 9 * (3 + 9 + 6)) + 4 + (3 + (9 * 3 + 7 * 9) * 6 + 9 + 9)
(9 + 6 + 6) + 3 + ((6 + 5) * 6 + 9 * 7) * (8 * (5 * 5 * 3 + 8 + 5 * 4) + (7 + 8 + 3 * 2 * 3 * 8) * 8 + 8) * (7 * (8 + 6 + 9 + 8) + 4 + 3 * 6) * 3
6 + 2 + 4 * (5 + 6 * 6) + 6 + 5
(2 * 7 + 5 + (4 * 4 + 8 * 5) * 4) * 6 * (4 + 2 * 2 * 3)
9 + (8 * 8 * 8 * 2) + 8 * 5 + 5 + (3 + 6 + 4 + 6 + 6)
(3 * (2 * 5) * 6 * 9 * 9 * (7 + 5 + 3)) + 6 + (4 + 2 * 9) * (2 * 6 + 7 + 6 + 3) + 4
3 + 7 + 6 * 6 * (4 * (6 * 6)) + 5
(7 + 2) + 4 * 3 * (5 + 9 + 6)
4 * 7 * (6 * 8 * 3 * 6 + 5) + (8 * 8 * 4 + 5) * 4
9 * 3 * 8 + 7
3 + 7 + 3 + (6 * (2 * 2 + 7 * 4)) + 8
5 * 6 * (7 * 9 * (4 + 8) + (5 * 3 + 7 * 4 * 7))
3 + 4 + 2 + ((6 + 5 * 7 * 8) * 9 * 8 * 8)
(5 + 5 * 2) * 6 + 3 * (4 * 5 + 5 * 5 * 2) + 4
(4 + 4 + 9 * 7 * 9) * 3 + (3 * 4) + 5 * 6 + 7
6 * (4 * 5 + 6 * 3 + 3 * 3) * 8 + 2 * 8
3 * (3 * (4 + 3 * 2 * 5) * (2 + 4 * 5 + 8) * 5 + 3 * 8) * 6
6 + (2 * 3 * 7 * 8 + 7) * 4
4 * 9 * (7 + 6 + 5 * 6 * (8 * 9) + 9) + 8 * (9 * 2 + 9) + 6
9 * 5 + 4 * ((3 + 6 * 4 + 4) + 8 + 4 + (7 + 4 * 3 + 7 * 5 + 9))
3 + ((9 * 4 * 6 + 4) * 4 * (7 + 3 + 8 + 7 + 3 * 4)) + 7 * 4 + 5 * 6
(8 + 2) * ((4 + 8 * 8) * 8) * 5
2 + 8 * 8 + (5 * 7 + 3 * 4) * 4 + 4
5 * 5 + 3 * 8 + ((7 + 5) * 3)
(5 + 8) * (4 * 3 * 9 * 8) * 7
(3 + 4 * (5 + 4) + 7) + (7 * 9 * 3) + 2 * 4
2 * 3 * ((6 * 2 + 8 + 2 * 9 + 5) * 3 * (4 + 4 * 3 + 2) + 8 * (7 * 3 * 5 * 9 + 3) * 8)
3 * 4 * (7 * 4 + 5 + 8 * 5) + ((9 * 5 * 5) + 4 + (6 * 6 + 8 * 2 + 9) * 2) + (3 + 4 + 7 * 7 + 9 * 5)
6 * 2 + 8 * 4 * (9 * 4 + (5 * 3 + 8) + 3 + 9) + 2
5 + (9 * 4 + 4) + (5 * 8 * 6 + 7 + 2 + 2) * 3 + (3 * (4 * 4 + 6) + 4)
5 + 8 * (5 * 7 * 8 * 4 + 6)
8 * 3 + 4
6 + 2 + 5 + 4 * (9 + 2 * 9) + 5
5 + 2 + 6 * (4 * (8 + 7 * 6 * 7) + (4 * 4 + 7) + (2 * 3 + 3 * 4 + 6 + 3) * 4 + 4) * 3
((5 * 4 * 2 * 4 + 9) * 4 + 3 + 4 * 7 + 8) * 3 * 6 + 4 * 2
(9 + 7) * 7 * 7 * ((6 * 3 * 4 * 8) + 9) + (7 + 4 * (3 * 3 + 6 * 2 + 7) * 9)
9 * (7 * 4 + 9) * (8 * 2 * 5 * 7 * (8 * 3 + 9 + 3 * 4) + 6) * 2 * 3 + 3
8 + ((3 * 5 + 3) + 5 * 7 * 8 * 8) + 3
((9 + 3 * 5 + 2) * 6) + 9 * (5 * 5) * 6
5 + (5 * (5 * 8) * 9 + 2) * (8 + (7 + 4 + 9 * 6 * 6 + 8)) * (4 + 8 * (6 + 6) + 7) * 3
5 * (2 + (6 + 9 * 4) + 4 * (8 * 2 + 7) * 8 * 2) * 6 * (7 + (6 + 8 * 6 * 8) * 6)
(7 * 7 * 5 + 8 + 2 + 3) * 3
5 + 3 + 3 + (6 + (3 + 7)) * (4 + 6 + 9) * 8
4 + 3 * (9 + (5 * 8 * 8 * 5 + 3) + 4 + 2 + 9)
2 + 7 + 5 * 6 + ((4 * 6 * 9 * 2 + 2 + 5) * (7 + 2 * 4 * 7 + 8) + 8)
(9 + 7 * 8 * (6 * 5 + 7 * 3)) + 4 * 7 + 5 * 9 + 9
((7 * 7 + 7 + 2) + 9 + 5 + (8 + 6 * 3 * 6 + 9) * (6 * 2 + 4 * 7) * 9) + 6
(3 + (3 * 4 * 6 + 4)) * 7
(6 * 2 * (5 + 5 + 4 + 7 + 8)) * 6 + 4 * 4
4 * 8 + (5 + 8) + 3
3 + 8 + 3 * (9 + (5 * 4 * 9) * 5) * (8 + (6 * 7 * 3 + 7 * 6) * 2) * 8
3 + 8 * (2 * 8 * 5 + 2) + 2 * ((8 + 7 * 6 + 5 + 2) * 6 * 3 * 3 * 5) * (7 * (5 + 5 + 3 * 6 * 3) * (5 * 4 + 4 * 9 + 4) + (9 + 9 + 9 * 5) + 7 * 3)
5 + (9 + 5 + 9 + 7 + (3 + 4 + 3 * 8)) * 8
4 * (9 + 4) + 4 + 3 + 6 + 9
((5 * 4 * 8 * 8 + 8 + 7) + 4) + (5 * 8 + 2) * (8 * 7 * 4 + 9 * 4 + (4 * 2 * 7 + 6)) + 3 + 6
5 * (8 + (9 * 9 * 5 * 2 + 8 + 4) * 6 + 6) + (7 * 5 * 7 * (9 * 2 * 8 + 5 * 7) * (5 + 4 + 2 * 8 * 8 * 9) * 4) + 6 + 9
((4 * 4 * 8) + 8) * 7 * 3 + 8 * 7
5 + 4 * 2 + 8 * (7 + 2 + 9 * 2) + 4
5 * (4 + 9 + (3 * 4 * 5) * 9)
4 + 2 + 3 * 3 + 9 * (9 + 4 * 9)
5 * 4 + 3 * 8
(8 + 4 * 6) * (8 * 3 + 4 * 8 * 9 * 2)
(9 + (8 + 4)) * 6
(9 + 5 * 5 * 8 + 7 * (9 * 6 * 6)) + 2 + 4 * 2 * (3 * 8 * (5 * 5 + 5 * 7) + 8 + (3 + 7 * 5 + 4 * 5) + 5) + 9
3 * 9 + 2 * (7 + 8 + (9 * 6 + 4) * (4 + 8 * 9 + 2 + 3) + 3)
(4 + 7) * 3 + 7 * 5
6 * (4 * 5 + (2 + 7 * 8 + 9 + 5) * 7 + 9 * 2) + 8
8 * (8 * 3 * (3 * 3 + 2) + 9) * 5 + (7 * 3 * 2 * 4)
9 + 3 + 4 * (8 + 4 * (2 * 8 * 3) * (5 * 4) * 7 + 5) * 8
8 * 9 + 6 * (3 * (6 * 8 * 6) + 7 + 9 * 5 * 7) * (7 * 3 + 3 * 6 * 8)
8 + (8 * 6 + 7 + 2 * (4 * 6 * 3))
4 + 2 * 7 * ((7 + 6 + 7) * 8 * 6) * (2 * 7 * (2 + 4 + 9 + 2) * (4 + 3 + 6 + 2 + 6) + 6 + 7)
(3 + 9) * 7 + 5 * (3 + 3 * 2 * 6) * 3 * 2
(5 * (8 * 3 + 6 + 5 * 9) * 8 * 6 + 9 * 9) + 8 + 5
8 + ((9 + 3 + 2) * (7 + 9 * 6 * 3) + (4 + 6 * 5 + 8 + 3) * (6 + 9)) + 9 * 7 * 7
2 + 9 * 3 * ((6 + 3 + 3 + 6 * 7 + 9) + 8 + (5 * 5) * (4 * 8 * 5) * 3)
8 + 6 + 4 * 2 * ((5 * 8 + 9 * 2 * 3) * 3 * 9 + 4 * 9 + (3 + 5 * 9)) + 2
7 * ((6 + 8 + 5) + 9) * 4 + 4
9 + 3 * 4 * (6 + (9 * 3 + 7 * 3 + 7 + 3)) * (4 * (4 * 3 + 4))
7 * (5 + 7 * 5) + 2 + ((7 + 6 * 7 * 9) + 5 + 3 + 9 + 6) * (7 + 4) * 2
2 + 4 * 5 + 6 * 3
2 * 9 * ((9 * 5 * 8) + (8 + 3 * 8)) + (7 * 8)
7 * 6 + 5 + (5 * 4) + 9 * 2
4 * 5 + 2 + (4 * 4 * 7) + 4
5 + 5 + 2 * (8 * (3 + 5 + 9 + 4) + 7) * 3
3 + ((2 * 8 + 7 * 3 * 3 * 4) * 3 + 9) + ((6 * 9 * 4) + 4) * 8 * 6
((2 * 5 + 4) * 2 + (3 + 4) * 8) * 7 * 9 + 2 + (9 * 7 * 8 + 5 + 9) + 8
7 * (9 * (5 * 3 * 2) * 7 * 5 + 3 + 7) + 7 * 9 * 3 + 6
((3 * 3) * 7 + 9 * 7) * 6 * 8 + (4 * 3 + (7 + 4 * 2) * (5 * 9 * 6 + 4 + 6 + 4)) * 2
3 * 6 * 2 + ((4 * 9 + 7) + 6) * 3
9 * (3 + 8) * 6 * 3 * 7 * (4 * 3 + 7 * 2 + (8 + 7 * 6 * 2 * 8 + 3) * 3)
((5 * 4 * 5 * 6) * 8 * 8) + 8
((2 * 9 + 2 + 6 * 5) * 4 * 2 * (4 + 4 * 9 + 3 * 2 * 8)) * 4 * 7 * 3 + 4 + 7
6 * 3 + 5 * 4 + 8 + 9
8 * 2 + (7 + (6 + 4) * (6 * 5) * 3 * 7 * 8) * 2 * 9 + 5
6 + (3 * 2 * 9 * 8 * 5) * 2 + 6 + ((6 * 8 * 7 + 5 * 9) + 3 * 3) * 5
(8 + 3) + 3 * (3 * 3 * 7) + 8 * 8 + 3
6 + 2 * (2 + 2 + 9 * 2)
(7 * 2 * 6 * 3 * 4 + (7 + 6 + 6 + 3 + 2 * 7)) * 8
(7 + 2 + 2 + (9 + 8) + 3) + (4 + (5 + 7 * 6 * 2) + 7 + 9 + (2 * 8 * 4 * 3 + 6)) * (6 * (9 * 6 + 4 + 7) + 8) * 6 + 2 * 6
6 + 5
(9 * (6 * 9 * 2 + 3 + 5) + 7 + 2 + 4) + 8 * (6 + 5 * 9)
8 * (5 * 8) + 5
9 * 2 * 9 * 9 + 7
(8 + 9 + (8 + 7 * 4 + 4) + 4 + 2) + 6 * ((9 + 4 * 9 * 3 + 5 + 2) * 8 * 3 * 8 * 3) + 8
5 + (8 * 4 * 5)
(3 * 7 * 4) + 6 * 8 * (5 + 4 + 8 + 5) * (4 + 8 + 9 * 8 + 7 * 7) + (4 * 8 + (5 + 4 + 2 * 2))
9 + 6 * 7 + 2 * (9 * (3 + 2 + 7 * 9) * 3 * 4 * (6 * 6 * 9 + 4)) + 9
7 + (8 * (5 + 7 * 6) * 8 + (2 * 4 + 5 * 4 + 6 * 7) + 3) + 9
5 + 7 * (3 + 8 + 2 * 8 * 5 + 4) * 7 * 8 + 8
9 * 4 * 4
(9 * 3) * ((5 * 7) * 8 * 2 + 4) + 5 + 9 * 3 + 5
((2 * 5) + 2 + (7 * 5 * 9) * 2 + 5) + 7 + (5 + 2 + (8 + 4 * 4 + 6))
((5 + 4 + 9) * 4 * 4 * 6) * 4 * 6 + 5
4 * 8 + 3 * ((8 + 8) * 5 * 7 + 9)
8 * 6 + 5 + (5 * 9 + 5 * 7 * (9 + 8 * 7) * 5)
7 * (3 + 4 * (3 + 6) + 6 + (3 * 8) * 9) + ((8 * 5 + 3 * 8) + 2 + 3) + (9 + 6 * (6 + 8 + 6 * 8 + 8 + 6)) * 2 * 7
8 + ((6 + 6 + 5 + 3 * 3) * 5 * 8 + 9) + 2
((9 + 8 * 8) * 8 + (6 + 2 + 7 + 3 * 3 + 6) + 2) * ((2 + 3 * 7 + 6) + 3 * 7 + 8 + 6 * 6) * 3 * 8 + 9
5 + (8 * (4 * 2) * 2 + 9) * 2 * 6
(4 + 4 * 9) + (6 + 5 * (4 + 2 * 2 * 4 * 8) * 2 + 4)
6 + 7 + 5 + (6 * (2 + 6 * 2 + 5 + 9)) * 6
5 * 3 + 2 + 2 * ((7 + 6 * 8 + 6 * 7 + 5) * 4)
6 * (7 * 8) * (6 + 6 + 2 + 4 + 6 + 6)
((7 + 3 * 7 * 4) + 7 + 9 * 4) + 4 * (2 * 9 * 7 + (3 + 9 * 3)) + 8 * 9
2 * 3 * 2 * 5 + 9 * 6
((3 * 7 * 9 + 4 + 5 + 3) * 8 + (4 + 5 + 8 + 3) + 2 * 2) * 7 * 5
3 + ((8 * 2) + 8 * 4 + 2) * 4 + 9 * 5 + 5
3 + 9 + (6 * 9 * 8) * ((8 * 3 + 9) * 4 + 5 * 7 + 6) + 7
9 + (8 * 4 + 2 * 6 * 4 * 4) * 9
5 + 3 + 5 * 3 + 4 * 3
(5 * 3 * 4) + 7 + 8 + 6 + 5
(6 * (9 * 7 + 5) + 7 * 4) * 2 * 9 + (7 + 5 * 4 + 7 + 3 * 6)
6 * 9 + 2 * 2 + (6 + (6 * 6 + 2 * 4 + 8) + 7 * 5)
((5 * 9 + 3 * 6) + (5 + 2 + 3 * 4) + 3 + 8) * (9 * 2 + 7 * (8 * 5)) * 6 * 2 + 5
(9 + (5 + 7 + 2 * 9) * 4 * 2) * 5 * 5 + 7 + 7 + 9
9 + 7 + 4 + (9 * 7 + 2 * (5 + 4 + 3 * 4))
6 + (3 + 5 * 4 * 8 + (7 + 4 * 3 * 4)) * 7 * 4
9 * ((7 + 6 * 3 * 6) * 7 + (4 * 5 * 3)) + 9 + (7 * 6 + 8 * 5) + 9
4 + 7 * 6 + 6 + (7 + (7 + 8 * 7 + 8 * 4 * 9) + 3 * 9) + 7
(9 + 7 + 2) * 3 + (7 * 8 + 9)
2 + 4 * (2 * 8 + (7 + 5) * 6) + 4 + 4 + (3 + 2)
(5 + (2 * 4 + 9 * 6) * 9 + 3 * 7 * 3) + (5 + (2 * 4 + 7 + 6) * 4 + 3 + 2) * (7 + 9 + (6 * 9 + 6 * 9) + (2 * 2 + 5 + 5) * 4 + 7)
(8 * 6 * 8 * 7 + 7 + 6) + 8 + 9
6 + (3 * 4 + 6) + 9
5 * 2 * 6 + 2 + (4 * 8 * 2 + (4 + 7 + 3 * 8 + 2)) * (4 + 8)
(4 + 2 + 7) + (7 * 2 * 3 * 8)
(9 * 6 * 2 * 9 * 7) * 4 + 4 * 4 + 4 * 8
9 * 3 * (9 + (5 + 3 + 2 + 6)) + (8 * 6 * 4) * 8
8 + (6 + 3 * 6) * 2 * 8
5 * 4 * 3 + (9 * 8 + 6)
(2 + 4 * 8 * 9 * 9 * 2) + 7 + 7 + 3 * 8
(2 * (4 + 7 + 8 * 4) * 4 * 6 * 7 + 4) * 6 + 5 * (6 + 4 * (6 + 9 * 2 + 2) + 2 + 5) * 4 * 5
(9 + 4 * 8 * 8) * 8 * (6 + (8 * 5) * (2 * 7 * 4 + 4 * 6) + 3 + 4 + 9) + 9 * 9 + 4
(7 * 4 + 3) + 4 + 7 * 9 * 7 + (6 * 3)
4 * 2 + 8 + (3 * 2 * (4 * 8) + 3)
6 + 6 * 3 + (9 * 5 * 5 + 4 + 9 * 9) * 3
2 + 8 * (2 + 8 + 2) + (8 * 6 * (3 * 6 * 4 + 8 * 6 * 6) + (3 + 5 + 7 * 8)) * 9 * (4 * 9 * 5 * 6 * 5 * 7)
4 + ((8 + 9 * 5 * 6) + 3 + 9)
(5 + 5 + 5 * 6 * (6 * 5)) * 7 * 2
4 + 6 + (7 * 2 * (9 * 7 * 5 + 5) + 4 * 2) + 9 * 9 * 2
6 + 9 * 8 * 3 + 9 * (3 * (3 * 2 + 2 + 9 + 7) * 2 + 2 + 3 * 8)
8 * 6 * (9 + 7 * (8 * 9 + 7)) + 8 * (3 + 3 + (4 * 2) + 4 * 7 + 4) * 4
9 * 2 + 2 * 4
(6 + (6 + 9 + 3 + 5 + 6)) * 8 + 8 + 3 * 8 * 9
(8 + 2) + 3 * ((2 + 2 * 5 * 2 + 9 + 6) * 6 * 6 + 3 + 3 + (5 + 9 + 7 + 5 + 9)) * 2 * ((4 * 7 + 4) * 6)
(4 + 8 * (9 + 8) + 2 + 4 * 2) + (7 + 5 + 3 + 9 * 4)
8 * 5 + 8 + (7 + 2 + 8 + 7 + 8) * (9 * 7)
7 + (9 * (9 * 4 * 8)) + (8 + 8 * (2 + 6 + 2 + 6) + (7 * 9 * 2 + 3 + 8 + 7)) * ((5 + 4) + 6 + 3) * 2 + 7
6 + ((4 + 2 * 5) + 3 * 7) * 2 + (4 + 9) * 3 + 3
9 * 4 + 7
((5 + 6 + 6 * 3 * 5 * 8) + 8 + 4) * 6 * 5 * 4
6 + ((4 + 7 * 6 * 4) + 8 * 2 + 6)
7 + 4 * 8 * 8 * 3 * (7 * 6 + 6 + (8 * 6 * 9))
((8 * 5 + 7 + 3 + 7) + 3 + 7 * (4 + 2 * 9)) + (7 * 6 + 2 + 5 + 6) + 2 * 6
(9 + 4) + 2 + 8 * (6 + (7 + 8 * 9 + 6 * 8) + 6) + 3
6 + (6 * 7 + 3 * 7 * (2 + 2 * 2 * 2) * 8) * (2 * 6 * 7 + 4 * (9 + 9 * 3 + 4) + 4) * 6
(6 + 9 + 6 + 8 * 5) * 8 * ((4 * 9 + 2 + 7 * 6 + 4) + (7 + 2 * 4 + 5)) * 3
((9 * 8 + 9 + 8 * 2 * 3) + 7 * (4 * 6 + 7 * 3 + 2 * 3) + 9) * 7 * 9
(3 + 6 + 7 + 9) * (2 + (4 * 7 * 6 + 9 + 3 + 5) + 9 + (2 + 3 + 7 + 4 + 3) + 9) + 8
(6 + 8 * 2) + 3 + 7 * 5
7 * (5 + 4 * 5 + 9 + 6 * (3 + 4 + 4 + 8 + 4))
(4 + 7 * 5 + 4 + 6) + (3 + (5 + 4)) * 3 * (2 * 4) + 2 + 6
(6 * 4) + 8 * (4 * (8 + 7 + 3)) + 4
5 + 6 * 8 + 3 + (7 * 5 + 5)
7 + 2 * 5 * ((8 + 4 * 8 + 3 * 5) + (8 + 4) * 6 + 4 + 9 * 4) * 8
(3 * 3 * (7 + 7 * 7 + 7) * 5 * 9 * 9) * 4 * (5 * 2 * 9 + 8 * (4 + 2) * 7) * 9 + 8 * 4
5 * 7 + (7 * (2 * 4))
3 + (9 + (5 * 9)) + 8 * 4
9 * 5 * 3 + 3 + 3 * (9 * 6 * 6 + 2 * 4)
2 + ((2 * 7 + 4 * 4) + 8 * 6 * (9 + 4))
9 + (8 + (7 * 5 * 7 * 5 * 7)) + 2
(4 * 5 * 6 * 3) + 9
6 + (2 * 5 * 9 + 8 + 2) * (2 * 8 * 3 * 2)
3 * (5 * (3 * 5 + 3) + 5 + (2 + 6 * 8 * 2 + 4 + 6) * 2) * 9 * (6 + 6 + 3) * 2
(2 + 5 + 8) + (2 + 8 + 3 * 7 + 4) * 3 + 3 * 9
6 * 6
5 * 9 * ((6 * 5 + 9 + 9) * 6) * 4
5 + 5 * 6 + (3 * 5) + 5
3 + (8 + 8 * (6 + 9 * 4 + 8 * 6) + 6 + 7 * 3) + 2 + 8 * 6 * 7
(3 * 2 + 6 * 3) * 7 * 6 * 9 + 5
2 + ((6 + 4 + 7 + 5 * 3 * 8) * 3 * 5)
(3 * 9 * 5 + 3 + 2) * 4 + 8 + (6 + 3 * 8 * 8) * (7 + 5 + 8) + (8 + 9)
5 * 2 + 2 * 8 * 5 * (2 * 5)

``````use crate::common::AdventOfCodeDay;

pub struct Day18 {
input: Vec<String>,
}

impl Day18 {
pub fn new() -> Self {
let input_bytes = include_bytes!("../res/18_input.txt");
let input_str = String::from_utf8_lossy(input_bytes);

let lines = input_str
.lines()
.map(|p| String::from(p))
.collect::<Vec<String>>();

Self {
input: lines
}
}
}

impl Day18 {
fn full_eval_lin(formula: String) -> i64 {
return Self::eval_lin(&formula.chars().filter(|p| *p != ' ').collect(), 0).0;
}

fn eval_lin(formula: &Vec<char>, start_idx: usize) -> (i64, usize) {

let mut curr: i64 = 0;

let mut i = start_idx;
loop {
if i >= formula.len() || formula[i] == ')' {
return (curr, i+1);
}

let mut op = '+';

if i > start_idx {
op = formula[i];
i += 1;
}

let param: i64;
if formula[i] == '(' {
(param, i) = Self::eval_lin(formula, i+1);
} else {
param = formula[i].to_string().parse::<i64>().unwrap();
i += 1;
}

match op {
'+' => { curr += param; }
'*' => { curr *= param; }
_   => panic!()
}
}
}
}

impl Day18 {
// Shunting-yard Algorithm
fn eval_advanced(formula: String) -> i64 {
let mut operands: Vec<i64> = Vec::new();
let mut operators: Vec<char> = Vec::new();

for chr in formula.chars().filter(|p| *p != ' ') {
if chr == '*' || chr == '+' {

while !operators.is_empty() && chr <= *operators.last().unwrap() {
let a = operands.pop().unwrap();
let b = operands.pop().unwrap();
let op = operators.pop().unwrap();

operands.push(match op {
'+' => a+b,
'*' => a*b,
_   => panic!(),
});
}

operators.push(chr);

} else if chr == '(' {

operators.push(chr);

} else if chr >= '0' && chr <= '9' {

operands.push(chr.to_string().parse().unwrap());

} else if chr == ')' {

while *operators.last().unwrap() != '(' {
let a = operands.pop().unwrap();
let b = operands.pop().unwrap();
let op = operators.pop().unwrap();

operands.push(match op {
'+' => a+b,
'*' => a*b,
_   => panic!(),
});
}
operators.pop();

} else {

panic!();

}
}

while !operators.is_empty() {
let a = operands.pop().unwrap();
let b = operands.pop().unwrap();
let op = operators.pop().unwrap();

operands.push(match op {
'+' => a+b,
'*' => a*b,
_   => panic!(),
});
}

return operands.pop().unwrap();
}
}

if is_verbose!() {
for line in &self.input {
verboseln!("{}   :=   {:?}", line, Day18::full_eval_lin(line.to_owned()));
}
}

return self.input.iter().map(|p| Day18::full_eval_lin(p.to_owned())).sum::<i64>().to_string();

}

if is_verbose!() {
for line in &self.input {