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November 14, 2016 17:40
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# i cheat | |
# Based on http://stackoverflow.com/questions/4600048/nth-ugly-number | |
hamming = (n) -> | |
if n is 1 then return 1 | |
result = [1] | |
# for jth ugly number, find a ugly number u_a, u_b, u_c such that with u_a * 2, u_b * 3 and u_c x 5 | |
# is greater than (j-1)th ugly number | |
# jth ugly number = min (u_a x 2, u_b x 3, u_c x 5) | |
last2 = 0 | |
last3 = 0 | |
last5 = 0 | |
for i in [1...n] | |
while (result[last2] * 2) <= result[i-1] | |
last2 += 1 | |
while (result[last3] * 3) <= result[i-1] | |
last3 += 1 | |
while (result[last5] * 5) <= result[i-1] | |
last5 += 1 | |
ugly2 = result[last2] * 2 | |
ugly3 = result[last3] * 3 | |
ugly5 = result[last5] * 5 | |
ugly = Math.min(ugly2, ugly3, ugly5) | |
result[i] = ugly | |
result[n - 1] |
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