Created
February 23, 2014 08:26
-
-
Save utgwkk/9168671 to your computer and use it in GitHub Desktop.
Calculate Egyptian fraction
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
def getdiv(n): | |
l = [] | |
for k in xrange(1,n): | |
if n%k==0: l.append(k) | |
return l | |
def go(l,n,m): | |
l = [[x,0] for x in l if x/m <= 0.5] | |
f = [0 for x in xrange(len(l))] | |
for i in xrange(2**len(f)-1): | |
a = [l[x][f[x]] for x in xrange(len(l))] | |
if sum(a) == n: | |
return [x for x in a if x != 0] | |
f[0] += 1 | |
for j in xrange(len(f)): | |
if f[j] > 1: | |
f[j] = 0 | |
f[j+1] += 1 | |
return False | |
a = int(raw_input('D > ').rstrip()) | |
b = int(raw_input('N > ').rstrip()) | |
print '%d/%d ='%(b,a), | |
d = 1 | |
while True: | |
c = go(getdiv(a*d),b*d,a*d) | |
if c: | |
print ' + '.join(['1/%d'%(a*d/x) for x in c]) | |
break | |
d += 1 |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment