Solve 2020/18

master
Alfred Melch 4 years ago
parent 6a818ec5ab
commit f18d58cfeb

@ -0,0 +1,373 @@
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(8 * (9 + 5 * 3 * 5) * (3 * 3)) + 5 + 2 * 5 + ((4 * 5 * 5 + 3 * 9 + 7) * 5 * (6 + 9 * 5 * 8) + 7) * 8
(4 + (9 * 9) + (4 + 4 * 6) * 5 * (9 + 2)) * 3 + 9
6 + 3 * 3 * (8 * 3 * 5 * (7 + 4 + 6 * 8 + 6 * 9) + 9)
8 + (6 + 7) * 4 * 6
(4 * 5 * 8 + 3 * 2) + 2 + (7 + 2 + 3 * 7 + 6 + 7) * 5
5 + (2 * 7 * 6 + 2 * 9 * 6) * 2 * 3 + 3
8 + (3 + 6 + 2) + 5 + 7 + 4
5 + 9 + ((4 + 9 * 8 * 2 + 7) * 7 + 6 * 9 + 9) * 7
((8 * 7 * 9 + 8 + 9 + 9) + 2 + 5) + 9 + 3 + 4
8 * 6 * (4 + 2 + (4 + 3 * 5) + (7 * 4 + 9 * 9) + 9 + 4) * 4
9 + 3 * 6 * 6 + (9 * 9 * 4 + (7 + 9 + 5 + 7 + 3)) + ((8 * 9 + 9 + 2) + 8 * (8 * 7 * 3 + 6 + 2 * 4))
6 * 3 * 9 + (7 * (6 * 5 + 2 + 7))
5 + 8 * (3 + 5 * (6 * 9 + 5 + 9 + 5))
4 * 7 * 8 * (4 * (7 + 2 + 7 * 8 + 6 + 6) * 6 + 3)
7 + (4 * 6 * 8 + 9 + (6 + 2 + 4 * 7 * 2))
3 + 7 * 5 * 3 * (9 * 4) + 6
(6 * 8 * 9 + 6 + 5) * 9 + 5 * 4 * 7
9 + 4
3 * (3 * 7 * (3 + 3 * 9 + 3 + 5) + 6)
5 + 3 * (2 * 5 * 3) * 4 * 8
6 + ((8 * 7 * 6 + 2 + 5 + 2) + 2) * 7 + 5
3 + (9 + 2) * (4 + (9 + 8 * 2 + 5 + 5 + 5) + 7) * 4 * 2 + 5
7 + 6 * 7 + 8 * (5 * 7 * 9 * 9 + 2)
(9 * (3 * 8 * 9 * 8 + 7)) * 3 + 2 + 2
(4 + 3 * 7 * (9 + 9)) + 5 + 9
2 * 2 * (7 + 6 + 8 + 5 + 8 * 3) + 9 + (4 + 9 * 5 * 7 + 2 + 7) * 9
3 * 2 * (5 * 8 * (5 + 6) * 7 * 2) + 7
9 * 2 * 7 * (9 * 5 * 8 * (5 * 8 * 4 + 5 + 3))
(8 * (3 + 2 * 4 * 4 + 4 * 2) + 2 + 8 + (7 * 3 * 6 * 6 + 5 + 9) * 9) + 5 + 7 * 9
(5 * 3) + 3 * 2
7 * 2 * 9 * 9 * 8 + (7 + 4 + (3 * 6 + 6 + 2) + 5)
9 + ((6 + 2 * 9 * 2) * (7 * 4 * 6 + 3 * 7) + 5 + 9) + (5 + (5 * 4 * 5 * 8 + 8) + 5 * (3 * 2 * 2 + 4 + 3 * 4))
(6 * (8 + 9 + 3 * 3)) + 7 * 6 * 4 + (9 + 4 * 2) + 4
((2 + 2) + (8 * 7 * 6 + 4 * 2 + 6) + 3 + (5 + 8 + 2) * 2) + 6 * 9 + 2
(3 + 6 + 7 * 2) * 9 + (4 * 9 + (2 + 6 + 4) + 4) + 6 + 9
2 + 3 * 3 + 8 + (4 * 4 + 5 + 4 * 4 + 8) * 6
(9 * 3) + 9
8 * 9 + 4 * (7 * 6 + 3 * 3 + 5) * 8
9 + 6 * 7 + 3 * ((8 + 3) + 9 * 3 + 8 + (3 + 7 + 7 * 4) + 7) + 4
9 * 2 + 9 * ((8 + 7 * 8 + 7 + 7 + 4) + 4 * (9 * 8 + 3) * 2 + 4 + (5 * 5 * 5 + 2 + 2 + 9)) * 7
3 + (8 + (6 * 9 + 6 + 9 + 4 + 9) + 5 * 2 + 6 + 6) + (9 * (8 * 2 + 8 * 8 * 9))
5 * (5 + 9 * (8 * 4)) * (7 * 6 * 8) + 2 + 3
9 * 5
6 + 6 + 9 + 4 + (4 + 9 + (3 + 2) * 2 * 6)
(6 * 4 * 7 * 3 + 7) + 5 * (8 * 4 * (4 + 8 * 4) * 9 * 2 * 3) + 9 + 9 * 2
(8 * 4) + (5 * 4 + 4 * 4) * ((5 * 4 * 3 + 8) * 8 * 3 * 3 * 9 * 5) + 3 * (4 * 9 * 6)
8 * 4 * 6 + 2
(7 + 2 + 3 * (8 + 3)) + 2 + 9 * (2 * 2 * (4 + 6 * 6 + 3 * 2 * 8) + 7 + 7) + 8 * 7
3 * (6 + 4 * (5 * 4 + 5 * 4 * 5 * 2) * (5 * 4) + 9) + 4 + 6 + 4 * (5 + 6 * (2 * 7 + 6 + 2))
9 + 8 + (3 * 6 + 7 + 8 * 9 * 4) * 8 * 9 * ((3 * 8 * 8 + 9 * 7 + 6) * 4 * 2 + (2 * 2 + 4 * 3) + (6 * 6 + 9 + 9 + 8) * (8 + 8 * 4))
5 + (7 * 6 * 6 * (3 * 2 * 3 * 6 * 7 + 7) * 7)
9 * 9 + 3 * ((7 * 6 + 5 + 4) * 8 * (7 * 8 + 5 * 8) * (4 + 4 + 8 * 8 * 7 * 7) + 3 + 8) * 6
2 * ((4 + 2 * 9) * (8 * 3) * 7 + 9) * 6 * 5
(3 * (7 + 7 * 2 + 9) + (3 + 8) * 5 * (2 * 4 + 5 + 6 * 9) * 2) + 5 + 8
2 * (2 + 8 + 5 * 6) * 2 + 7
7 + (6 + 3 + 5 * 6 + 7 * 2)
4 + 2 * 3 * (6 + 3 + 5 * 4 + 2) * 9 * (8 * 7 * 5 * 8)
5 + (4 * 2 * 4 + 3 + 7 + 5) * 7 + 7
8 + 2 + 4 + 7 + 2
9 + 4 * 7
6 + 5 * (5 + 9 * 7 * 6 * 5 + 7) * (7 + (6 * 9 * 7 + 5 + 6 * 4) + (9 * 9 + 7 * 9)) * 4 + 5
7 * 7 * (8 * 3 * 3 + 9) + ((2 + 2) + 7 * 7 + 7 + 7 + 3) * 8
2 + (4 * 7 * (7 * 5 * 4 + 5 + 5 + 5) + 7) + 5 + (6 + (9 + 6 + 6 * 3 + 3 + 5) * 2 * 9 + (3 * 7 * 5 + 5)) * (5 * 4 * 2 * 6) * ((7 + 4 + 7 * 2) * 7 + (5 + 7 * 7 * 3 * 4) * 8)
((3 + 4) * (9 + 5 * 7 + 5 * 7 + 5) * 4) * 6 * 4 + 9
(6 * 9 + 5 + (6 + 8 * 8 * 6 + 6) + 6 + 7) + 7 + 5 * 2 + 2
8 * (7 * 4 + 5) * 8
5 + 8 + 9 + (6 + 8) + (6 + 4 * 4 * 4 * 5 + 5) * 5
4 * 6 * 9 + 8 * (2 * 5 + 2 * (6 * 2 + 4 + 7 * 6 * 2)) * ((7 * 3 + 6) + (2 * 9 * 6 * 8 * 5 + 6) + (8 + 8 * 2 * 9 * 7 + 2) + 8 * 7)
4 + 4 + 7 + 5 + 2
3 + (8 * 2 * 4) * 8 * (2 + (8 * 5 + 3 * 4 + 4)) * (2 * (5 * 6))
7 + 8 + 7 + (2 * 7 * 7 * (9 * 8) * 5)
5 + 7 + 9 + 4 * (8 + 6 + 9 * (3 + 9 * 3 + 5 * 3) * 5 + 4) + (8 * (3 * 8))
4 * 2 * ((8 + 8 + 4) * (9 + 9) * 5 * 4 + 5 * 9) * 2
4 + 3 * 4 * 4 * 6
4 + 8 * (5 + 2 * 3 * 8 * 6 * 9) + 6
2 + 7 * (8 * 4 * 8 * 2 * 8 + 6) + 7 + 2
5 + 3 + ((8 + 3) * 6 + (6 * 2 * 9 * 8 * 8 + 3) + 8 * 2 * 7) + 9 + 3 * ((4 + 9 * 5) * 3 * 4 * 3 * 2 + 9)
7 + (8 + (5 + 6 * 4 * 5 + 4 + 2) + (4 * 2) + 3 * 5 + 9) * 5 + 6 * 6
7 + 3 * (9 + 3 + 5 + 2) * 9
8 * 3 + (9 * (4 * 3 * 4) * 6 + 4 * 7) + 5 * 5 + (4 + 5 * (3 * 4 * 8 + 2 + 3 + 2))
(7 * 2 * (7 + 8 * 4 + 7)) * 9 + 5 + 9
4 * 7 * 5 + 3 * 5
9 * 4 * 4 + 2 * (7 * (7 + 8 * 6 * 9 * 4) + (8 + 2) * 3 + 9 + 5) + 2
8 * 7 * 5 + ((5 + 7 + 8 + 4 + 7) + 7 * (9 * 2 + 2) + 9) + 6
5 + 4 + (4 + 5 * 5 * 2)
6 + 7 * 2
9 + (5 + 6 * (3 + 3 * 4 + 3 * 4) * 4 * (8 * 2 + 6 + 6)) * 3 * 3 + 3 + 4
((3 + 6) * 8 * 5 + 8 * 2 * 9) * (4 * 7 + (5 + 6 + 5 + 9 + 4)) + ((5 + 6 * 3 + 2 * 8 * 3) + 2 + 9 + 7) + ((6 + 5 * 5 * 2 + 7) * 9) * 7
2 + 3 + 6 * (4 + 2 + 8) * ((2 * 8 + 4) + (2 + 3 + 3 + 8))
(6 * 2) + 5 * 9 + 2 + ((5 * 7 + 4) * (7 + 4 + 4) * 2 * 7 + (5 + 7 * 2 + 3 + 5) + (6 + 4 + 2)) * 6
4 + (5 * 3 * (6 * 7 * 8 * 4 + 5) * 3) + 2 * 7
((4 + 7 * 9) * 3) + 9 * (6 + 3 + 8 + 2)
4 * 2 + 2 * (9 + 9 * 3 + (9 + 7 * 3 * 3 + 4 + 7) + (8 + 5) + 8) + 8
5 + (8 * 4 + 9) * 2 + 2 * 2 * 5
(5 * 8 * 3 * 5 + (3 * 2 + 9 * 5) * 6) + 5 + 8 + 3 * 2
8 * (2 * (4 + 6 * 3 * 6 * 2 * 2) * (7 + 4 * 9 + 3) + 9)
6 * ((4 * 3) * 6 * (5 * 5 * 6 + 6) + (3 * 2) * 5 * 3)
8 + (3 * 6 + 4 + 9) * 2
2 * 8 * 4 * ((3 * 3 + 9 * 7 * 5) * 7) + 2
(6 + 9 * 2 + 4) * 4 * 4 * 3 + 6 * 8
2 * 7 * 7 + (3 * 8 + 5) + 5 + 7
3 + (9 * 2 + 6 + (4 + 8 + 9 * 5) * 4) * 8
9 * (7 + 8)
8 * (7 + 8 + (5 + 5 * 8) + 7 + 3) + 6
(4 + 2 + 7 * 5) * 9 * 3 + 8 + 7 + ((9 * 4 * 4) + 4 * (6 * 3 * 3 * 6))
(2 * 8 + (8 + 4 * 9 * 6 * 2) * 7) * 9 * 6 * 5
9 + 7 + (4 + 5 + 6 + 3) + 3 * 6
(8 * 2) + 4 + 3 + 7 * 2
(4 * 4 + 4) + 8
6 + 4 + 8
3 * (5 + (2 * 6 * 5 + 7 * 6) + 7 * 2 * 8 * 8) + 8 * 4
8 * 7 * (3 * 4 + 6 + 2 * 9 + 9) * 3 + (3 + 5)

@ -0,0 +1,61 @@
import re
example1 = '1 + 2 * 3 + 4 * 5 + 6'
example2 = '1 + (2 * 3) + (4 * (5 + 6))'
example3 = '2 * 3 + (4 * 5)'
example4 = '5 + (8 * 3 + 9 + 3 * 4 * 3)'
example5 = '5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4))'
example6 = '((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2'
with open('input') as f:
expressions = f.readlines()
def calc(op, a, b):
if op == '+':
return a + b
elif op == '*':
return a * b
else:
raise Exception(f'Operator "{op}" not known')
def solve(line):
num_stack = [0]
op_stack = ['+']
for char in line:
if char in [' ', '\n']:
continue
if char == '(':
num_stack.append(0)
op_stack.append('+')
elif char == ')':
op = op_stack.pop()
a = num_stack.pop()
b = num_stack.pop()
num_stack.append(calc(op, a, b))
elif char in ['+', '*']:
op_stack.append(char)
elif re.match('[0-9]', char):
num = int(char)
num_stack.append(int(char))
op = op_stack.pop()
a = num_stack.pop()
b = num_stack.pop()
num_stack.append(calc(op, a, b))
# print(num_stack, op_stack)
return num_stack.pop()
print(example1, '=', solve(example1))
print(example2, '=', solve(example2))
print(example3, '=', solve(example3))
print(example4, '=', solve(example4))
print(example5, '=', solve(example5))
print(example6, '=', solve(example6))
print('Solution')
print(sum(map(solve, expressions)))

@ -0,0 +1,112 @@
import re
example1 = '1 + 2 * 3 + 4 * 5 + 6'
example2 = '1 + (2 * 3) + (4 * (5 + 6))'
example3 = '2 * 3 + (4 * 5)'
example4 = '5 + (8 * 3 + 9 + 3 * 4 * 3)'
example5 = '5 * 9 * (7 * 3 * 3 + 9 * 3 + (8 + 6 * 4))'
example6 = '((2 + 4 * 9) * (6 + 9 * 8 + 6) + 6) + 2 + 4 * 2'
with open('input') as f:
expressions = f.readlines()
def calc(op, a, b):
if op == '+':
return a + b
elif op == '*':
return a * b
else:
raise Exception(f'Operator "{op}" not known')
class Node:
leaf_value = None
def __init__(self, expression):
# print('Processing', expression)
while expression[0] == '(':
level = 0
split = None
closing_bracket = None
for idx, char in enumerate(expression):
if char == '(':
level += 1
elif char == ')':
level -= 1
if level == 0 and closing_bracket is None:
closing_bracket = idx
if level == 0 and char == '*' and split is None:
split = idx
# print(f'Found split at {i} within {expression}')
if closing_bracket + 1 == len(expression):
# print('stipping unneeded parens')
expression = expression[1:-1]
else:
if split is not None:
# self.split_at(expression, split)
self.split_at(expression, split)
else:
self.split_at(expression, closing_bracket + 2)
return
if '(' in expression:
level = 0
split = None
for idx, char in enumerate(expression):
if char == '(':
level += 1
elif char == ')':
level -= 1
if level == 0 and char == '*' and split is None:
split = idx
if split is not None:
self.split_at(expression, split)
else:
self.split_at(expression, expression.find('+'))
elif '*' in expression:
self.split_at(expression, expression.find('*'))
elif '+' in expression:
self.split_at(expression, expression.find('+'))
else:
self.leaf_value = int(expression.strip())
def split_at(self, expression, idx):
left = expression[:idx].strip()
right = expression[idx + 1:].strip()
op = expression[idx]
# print(f'Splitting "{left}" "{op}" "{right}"')
self.left = Node(left)
self.right = Node(right)
self.op = op
@ property
def value(self):
if self.leaf_value is not None:
return self.leaf_value
return calc(self.op, self.left.value, self.right.value)
def solve(line):
return Node(line.strip()).value
print(example1, '=', solve(example1))
print(example2, '=', solve(example2))
print(example3, '=', solve(example3))
print(example4, '=', solve(example4))
print(example5, '=', solve(example5))
print(example6, '=', solve(example6))
# should be 16530240
example7 = '3 + (8 * 2 * 4) * 8 * (2 + (8 * 5 + 3 * 4 + 4)) * (2 * (5 * 6))'
print(example7, '=', solve(example7), 'should be', '16530240')
print('Solution')
# for expr in expressions:
# print(expr.strip(), '=', solve(expr))
print(sum(map(solve, expressions)))
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