from itertools import product

def tokenize(vals: list[int], ops: list[str]) -> list[str|int]:
    tok = []
    for item in  zip(vals, ops):
        tok.extend(item)
    tok.append(vals[-1])
    return tok

def compute(tokens: list[str|int]) -> int:
    # Case where we have 1 || 2 ==> 12
    while len(tokens) >= 3:
        # Pop off the first 3 items
        left, op, right = tokens[:3]
        tokens = tokens[3:] if len(tokens) > 3 else []
        # Now we do some computation and prepend the list with that result
        if op == '*':
            tokens.insert(0, left * right)
        elif op == '+':
            tokens.insert(0, left + right)
        # the coalesce case
        else:
            tokens.insert(0, int(f'{left}{right}'))
    return tokens[0]


with open('input.data') as file:
    cases = []
    for line in file:
        line = line.replace(':', '').split()
        cases.append([int(val) for val in line])
    s = 0
    for case in cases:
        answer, vals = case[0], case[1:]
        results = set()
        for ops in list(product(['*', '+', '||'], repeat=len(vals)-1)):
            tokens = tokenize(vals, ops)
            results.add(compute(tokens))
        if answer in results:
            s += answer
    print(s)