Created
May 25, 2017 11:27
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Narcissistic Number Generator
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import numpy as np | |
import operator | |
def rec(idx, nums, digit): | |
if idx == 9: | |
if sum(nums) == digit: | |
cand = reduce(operator.add, [cnt * (power[9-i][digit]) for i, cnt in enumerate(nums)]) | |
bin_cand = [0 for i in xrange(10)] | |
for i in str(cand): | |
bin_cand[9-int(i)] += 1 | |
if bin_cand == nums: | |
nar.append(cand) | |
else: | |
return | |
else: | |
#Pruning | |
if(reduce(operator.add, [cnt * (power[9-i][digit]) for i, cnt in enumerate(nums)]) >= power[10][digit]): | |
return | |
for i in xrange(digit-sum(nums)+1): | |
nums[idx+1] = i; | |
rec(idx+1, nums, digit) | |
nums[idx+1] = 0; | |
def makePower(): | |
power = [[1 for j in xrange(40)] for i in xrange(11)] | |
for i in xrange(11): | |
for j in xrange(1, 40): | |
power[i][j] = power[i][j-1] * i | |
return power | |
if __name__ == '__main__': | |
power = makePower(); | |
for digit in xrange(1, 40): | |
nar = [] | |
for i in xrange(digit+1): | |
nums = [0 for j in xrange(10)] | |
nums[0] = i | |
rec(0, nums, digit) | |
nar.sort() | |
for e in nar: | |
print e | |
""" | |
Output: | |
0 | |
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | |
9 | |
153 | |
370 | |
371 | |
407 | |
1634 | |
8208 | |
9474 | |
54748 | |
92727 | |
93084 | |
548834 | |
1741725 | |
4210818 | |
9800817 | |
9926315 | |
24678050 | |
24678051 | |
88593477 | |
146511208 | |
472335975 | |
534494836 | |
912985153 | |
4679307774 | |
32164049650 | |
32164049651 | |
40028394225 | |
42678290603 | |
44708635679 | |
49388550606 | |
82693916578 | |
94204591914 | |
28116440335967 | |
4338281769391370 | |
4338281769391371 | |
21897142587612075 | |
35641594208964132 | |
35875699062250035 | |
1517841543307505039 | |
3289582984443187032 | |
4498128791164624869 | |
4929273885928088826 | |
63105425988599693916 | |
128468643043731391252 | |
449177399146038697307 | |
21887696841122916288858 | |
27879694893054074471405 | |
27907865009977052567814 | |
28361281321319229463398 | |
35452590104031691935943 | |
174088005938065293023722 | |
188451485447897896036875 | |
239313664430041569350093 | |
1550475334214501539088894 | |
1553242162893771850669378 | |
3706907995955475988644380 | |
3706907995955475988644381 | |
4422095118095899619457938 | |
121204998563613372405438066 | |
121270696006801314328439376 | |
128851796696487777842012787 | |
174650464499531377631639254 | |
177265453171792792366489765 | |
14607640612971980372614873089 | |
19008174136254279995012734740 | |
19008174136254279995012734741 | |
23866716435523975980390369295 | |
1145037275765491025924292050346 | |
1927890457142960697580636236639 | |
2309092682616190307509695338915 | |
17333509997782249308725103962772 | |
186709961001538790100634132976990 | |
186709961001538790100634132976991 | |
1122763285329372541592822900204593 | |
12639369517103790328947807201478392 | |
12679937780272278566303885594196922 | |
1219167219625434121569735803609966019 | |
12815792078366059955099770545296129367 | |
115132219018763992565095597973971522400 | |
115132219018763992565095597973971522401 | |
""" |
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