Created
January 11, 2017 08:05
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class memoize(dict): | |
def __init__(self, func): | |
self.func = func | |
def __call__(self, *args): | |
return self[args] | |
def __missing__(self, key): | |
result = self[key] = self.func(*key) | |
return result | |
@memoize | |
def count_ways(num, current_multiple, occurrences): | |
if num == 0: return 1 | |
else: | |
count = 0 | |
if occurrences == 0: | |
next_multiple, next_occurrences = 1, 1 | |
elif occurrences == 1: | |
next_multiple, next_occurrences = current_multiple, 2 | |
else: | |
next_multiple, next_occurrences = current_multiple << 1, 1 | |
while num - next_multiple >= 0: | |
count += count_ways(num - next_multiple, next_multiple, next_occurrences) | |
next_multiple, next_occurrences = next_multiple << 1, 1 | |
return count | |
if __name__ == "__main__": | |
num = int(input().strip()) | |
if num == 0: print(0) | |
else: print(count_ways(num, 0, 0)) | |
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