Created
September 24, 2010 08:39
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# a heavy int is one where the average of the digits is greater than 7 | |
# eg: 8678 is heavy because (8 + 6 + 7 + 8) / 4 = 7.25 | |
# 8677 is not heavy because ( 8 + 6 + 7 + 7) / 4 = 7 | |
def num_heavy_ints(a, b): | |
""" | |
Return the number of heavy integers between a and b (inclusive). | |
Assume that a and b are positive integers. | |
>>> num_heavy_ints(8675, 8689) | |
5 | |
""" | |
start, end = sorted((a, b)) | |
count = 0 | |
for i in range(start, end + 1): | |
number = i | |
dlen = 0 | |
dsum = 0 | |
while(number): | |
dlen += 1 | |
dsum += number % 10 | |
number //= 10 | |
if dsum > dlen * 7: | |
count += 1 | |
return count |
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