Created
July 3, 2017 11:21
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import time | |
def is_power(c): | |
m = int(c ** 0.5) | |
candidate_list = range(m, 0, -1) | |
for i in candidate_list: | |
pos = c - i ** 2 | |
if pos < 0: | |
continue | |
other = pos ** .5 | |
if other.is_integer(): | |
return True | |
return False | |
def is_power2(c): | |
i = 0 | |
j = int(c ** 0.5) | |
while i <= j: | |
r = i*i + j*j | |
if r < c: | |
i += 1 | |
elif r > c: | |
j -= 1 | |
else: | |
return True | |
return False | |
def is_power3(c): | |
for i in range(int(c ** 0.5) + 1): | |
if ((c - i ** 2) ** .5).is_integer(): | |
return True | |
return False | |
if __name__ == '__main__': | |
num = 88777661 | |
start = time.time() | |
print is_power(num), time.time() - start | |
start = time.time() | |
print is_power2(num), time.time() - start | |
start = time.time() | |
print is_power3(num), time.time() - start |
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