def calibrate(answer, total, tail, concatenate=False):

#print('answer: %d, total: %d, tail: %s' % (answer, total, tail))

if answer < total:

return False

if not tail:

return answer == total

return calibrate(answer, total + tail[0], tail[1:], concatenate) or calibrate(answer, total * tail[0], tail[1:], concatenate) or (concatenate and calibrate(answer, int('%d%d' % (total, tail[0])), tail[1:], concatenate))

def main():

with open('input') as f:

calibrations = [line.split(': ') for line in f.readlines()]

calibrations = {int(line[0]): [int(num) for num in line[1].split()] for line in calibrations}

print(sum([calibration for calibration in calibrations.keys() if calibrate(calibration, 0, calibrations[calibration], False)]))

print(sum([calibration for calibration in calibrations.keys() if calibrate(calibration, 0, calibrations[calibration], True)]))

if __name__ == "__main__":

main()

from collections import defaultdict

from itertools import permutations, combinations

def main():

with open('input') as f:

lines = [line.strip() for line in f.readlines()]

height = len(lines)

width = len(lines[0])

antennas = defaultdict(set)

for y in range(height):

for x in range(width):

frequency = lines[y][x]

if frequency != '.':

antennas[frequency].add((x, y))

antinodes = set()

antinodes_resonance = set()

for frequency, location in antennas.items():

for a, b in permutations(location, 2):

vector = (a[0] - b[0], a[1] - b[1])

vector = (a[0] + vector[0], a[1] + vector[1])

if vector[0] < width and vector[0] >= 0 and vector[1] < height and vector[1] >= 0:

antinodes.add(vector)

vector = (a[0] - vector[0], a[1] - vector[1])

while a[0] < width and a[0] >= 0 and a[1] < height and a[1] >= 0:

antinodes_resonance.add(a)

a = (a[0] - vector[0], a[1] - vector[1])

print(len(antinodes))

print(len(antinodes_resonance))

#for y in range(height):

# for x in range(width):

# found = False

# for k,v in antennas.items():

# if (x,y) in v:

# found = True

# print(k, end='')

# if not found:

# if (x,y) in antinodes:

# print('#', end='')

# else:

# print('.', end='')

# print()

if __name__ == "__main__":

main()

from collections import defaultdict

from itertools import permutations, combinations

def main():

with open('input') as f:

string = f.readline().strip()

disk_map = []

file = False

i = 0

for length in string:

length = int(length)

file = not file

for _ in range(length):

if file:

disk_map.append(str(i))

else:

disk_map.append('.')

if file:

i += 1

i = 0

j = len(disk_map) - 1

while True:

if i == j:

break

if (disk_map[i] == '.' and disk_map[j] == '.'):

j -= 1

if disk_map[i] != '.':

i += 1

continue

if disk_map[j] != '.':

disk_map[i] = disk_map[j]

disk_map[j] = '.'

i += 1

j -= 1

checksum = 0

for i in range(len(disk_map)):

if disk_map[i] != '.':

checksum += i * int(disk_map[i])

print(checksum)

disk_map = []

file = False

i = 0

for length in string:

length = int(length)

file = not file

if file:

disk_map.append([str(i), length])

i += 1

else:

disk_map.append(['.', length])

i = 0

j = len(disk_map) - 1

while True:

if j == 0:

break

if i >= len(disk_map) or i == j or (disk_map[i][0] == '.' and disk_map[j][0] == '.'):

j -= 1

i = 0

continue

if disk_map[i][0] != '.' or disk_map[i][1] == 0:

i += 1

continue

if disk_map[j][0] != '.':

if disk_map[i][1] == disk_map[j][1]:

disk_map[i][0] = disk_map[j][0]

disk_map[j][0] = '.'

j -= 1

i = 0

elif disk_map[i][1] > disk_map[j][1]:

length1 = disk_map[i][1]

length2 = disk_map[j][1]

disk_map[i] = disk_map[j][:]

disk_map[j][0] = '.'

disk_map.insert(i + 1, ['.', length1 - length2])

i = 0

else:

i += 1

checksum = 0

i = 0

for obj in disk_map:

for _ in range(int(obj[1])):

if obj[0] != '.' and obj[1] > 0:

checksum += i * int(obj[0])

if obj[1] > 0:

i += 1

print(checksum)

if __name__ == "__main__":

main()