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2558912-2663749,1-19,72-85,82984-100358,86-113,193276-237687,51-69,779543-880789,13004-15184,2768-3285,4002-4783,7702278-7841488,7025-8936,5858546565-5858614010,5117615-5149981,4919-5802,411-466,126397-148071,726807-764287,7454079517-7454227234,48548-61680,67606500-67729214,9096-10574,9999972289-10000034826,431250-455032,907442-983179,528410-680303,99990245-100008960,266408-302255,146086945-146212652,9231222-9271517,32295166-32343823,32138-36484,4747426142-4747537765,525-652,333117-414840,13413537-13521859,1626-1972,49829276-50002273,69302-80371,8764571787-8764598967,5552410836-5552545325,660-782,859-1056

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def parse(s):
ret = []
for pair in s.split(','):
x,y = pair.split('-')
ret.append((int(x),int(y)))
return ret
def solve(input):
with open(input) as f:
ranges = parse(f.read())
t = 0
for lo,hi in ranges:
invalid = list(findinvalid(lo,hi,1))
#if len(invalid) == 0:
# print(lo,hi,invalid)
t += sum(invalid)
print(t)
t2 = 0
for lo,hi in ranges:
invalid2 = set(findinvalid(lo,hi,2))
t2 += sum(invalid2)
print(t2)
def findinvalid(lo, hi, part):
assert lo <= hi
if log10(hi) != log10(lo):
assert log10(hi) - log10(lo) == 1
yield from findinvalid(lo,exp10(log10(lo))-1, part)
yield from findinvalid(exp10(log10(hi)-1),hi, part)
elif part == 1:
N = log10(hi)
if N % 2 == 0:
d = N // 2
yield from _find(lo,hi,d,N)
elif part == 2:
N = log10(hi)
for d in range(1,N):
if N%d == 0:
yield from _find(lo,hi,d,N)
def _find(lo, hi, d, N):
B = exp10(d)
BB = exp10(N-d)
factor = sum(exp10(k) for k in range(0,N,d))
for i in range(lo//BB, hi//BB+1):
if i < B//10:
continue
if i >= B:
break
id = i*factor
if lo <= id <= hi:
#assert(str(i)*(N//d) == str(id)), (i,id)
#print(lo, hi, i,B,id)
yield id
def exp10(n):
return 10 ** n
def log10(n):
return len(str(n))
solve("sample")
solve("input")