Created
February 22, 2018 18:37
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import math | |
from multiprocessing import Pool | |
def owf(input): | |
output = "" | |
input = input*input*input | |
key = str(input*3) | |
exprime = ["2","3","5","7"] | |
input = list(str(input)) | |
for index, digit in enumerate(input): | |
if digit in exprime: | |
output = key[index]+output | |
else: | |
output += key[index] | |
return output | |
def walk(left, right, comp): | |
out = "" | |
while len(left) + len(right) != 0: | |
if len(left) == 0: | |
out += right | |
break | |
if len(right) == 0: | |
out += left | |
break | |
else: | |
if comp(int(left[0]), int(right[0])): | |
out += left[0] | |
left = left[1:] | |
else: | |
out += right[0] | |
right = right[1:] | |
return out | |
def bruteforce(start, end, target): | |
print('bruteforce({}, {}, {})'.format(start, end, target)) | |
candidate = start | |
while candidate < end: | |
if owf(candidate) == target: | |
print('Found: {}'.format(candidate)) | |
return True | |
candidate += 1 | |
return False | |
enc = "73740945964519364892687222629632" | |
pivot = 12 | |
# enc = "1631125645095674458269207" | |
# pivot = 6 | |
print('Pivot: ' + enc[pivot]) | |
# Truncation test | |
digit_sum = sum(map(int, enc)) | |
if digit_sum % 3 == 0: | |
truncated = False | |
else: | |
truncated = True | |
print('Truncated: ' + str(truncated)) | |
# Build K min and max | |
k_max = enc[pivot] + walk(enc[pivot-1::-1], enc[pivot+1:], lambda l, r: l > r) | |
k_min = enc[pivot] + walk(enc[pivot-1::-1], enc[pivot+1:], lambda l, r: l < r) | |
if truncated: | |
k_max += '8' | |
k_min += '1' | |
k_max = int(k_max) | |
k_min = int(k_min) | |
print('K max: ' + str(k_max)) | |
print('K min: ' + str(k_min)) | |
i_max = int((k_max/3) ** (1.0/3)) + 1 | |
i_min = int((k_min/3) ** (1.0/3)) | |
print('I max: ' + str(i_max)) | |
print('I min: ' + str(i_min)) | |
p = Pool(None) | |
block = 1000000 | |
for chunk in range(i_min, i_max, block): | |
p.apply_async(bruteforce, (chunk, chunk + block, enc), callback=lambda x: p.terminate() if x else None) | |
p.close() | |
p.join() |
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