## Aug 17, 2013

### Project Euler Problem Nos 43

Original problem posted at:

http://projecteuler.net/problem=43

This is my solution to problem 43:

#!/usr/bin/python

### problem 43

import string

def get_divisible_set(n):
myset=[]
for i in range(2,999):
if (i%n==0):
myset.append(str(i).zfill(3))
###myset.append(str.format("%03d", i))
###n = '4'
###>>> print n.zfill(3)
###>>> '004'
return myset

if ((a[1]==b[0])and(a[2]==b[1])):
return 1
else:
return 0

myset=[]
#### assuming setb is the smaller set....
mylenb=len(setb)
mylena=len(seta)
for i in range(mylenb):
for j in range(mylena):
###print seta[j], setb[i]
mysettmp=set(seta[j])
mysettmp=mysettmp.union(set(setb[i]))
myset.append((seta[j],setb[i]))
return myset

myset17=get_divisible_set(17)
myset13=get_divisible_set(13)
myset11=get_divisible_set(11)

nextset=[]
for i in range(len(myset)):
#print myset[i]
(a,b)=myset[i]
tmp=[]
mysettmp=set()
tmp.append(a)
if len(tmpset)>0:
for j in range(len(tmpset)):
(c,d)=tmpset[j]
mysettmp=set(d)
mysettmp=mysettmp.union(set(c))
mysettmp=mysettmp.union(set(a))
mysettmp=mysettmp.union(set(b))
if len(mysettmp)==5:
nextset.append((c,a,b))

print "aaaa"
print nextset

myset7=get_divisible_set(7)

nextset1=[]

for i in range(len(nextset)):
(a,b,c)=nextset[i]
tmp=[]
mysettmp=set()
tmp.append(a)
if len(tmpset)>0:
for j in range(len(tmpset)):
(d,e)=tmpset[j]
mysettmp=set(e)
mysettmp=mysettmp.union(set(d))
mysettmp=mysettmp.union(set(a))
mysettmp=mysettmp.union(set(b))
mysettmp=mysettmp.union(set(c))
if len(mysettmp)==6:
nextset1.append((d,e,b,c))

print "bbb"
print nextset1

myset5=get_divisible_set(5)

nextset2=[]

for i in range(len(nextset1)):
(a,b,c,d)=nextset1[i]
tmp=[]
mysettmp=set()
tmp.append(a)
if len(tmpset)>0:
for j in range(len(tmpset)):
(e,f)=tmpset[j]
mysettmp=set(f)
mysettmp=mysettmp.union(set(e))
mysettmp=mysettmp.union(set(a))
mysettmp=mysettmp.union(set(b))
mysettmp=mysettmp.union(set(c))
mysettmp=mysettmp.union(set(d))
if len(mysettmp)==7:
nextset2.append((e,a,b,c,d))

print "bbb"
print nextset2

myset3=get_divisible_set(3)

nextset3=[]

for i in range(len(nextset2)):
(a,b,c,d,e)=nextset2[i]
tmp=[]
mysettmp=set()
tmp.append(a)
if len(tmpset)>0:
for j in range(len(tmpset)):
(f,g)=tmpset[j]
mysettmp=set(g)
mysettmp=mysettmp.union(set(f))
mysettmp=mysettmp.union(set(a))
mysettmp=mysettmp.union(set(b))
mysettmp=mysettmp.union(set(c))
mysettmp=mysettmp.union(set(d))
mysettmp=mysettmp.union(set(e))
if len(mysettmp)==8:
nextset3.append((f,a,b,c,d,e))

myset2=get_divisible_set(2)

nextset4=[]

for i in range(len(nextset3)):
(a,b,c,d,e,f)=nextset3[i]
tmp=[]
mysettmp=set()
tmp.append(a)
if len(tmpset)>0:
for j in range(len(tmpset)):
(g,h)=tmpset[j]
mysettmp=set(h)
mysettmp=mysettmp.union(set(g))
mysettmp=mysettmp.union(set(a))
mysettmp=mysettmp.union(set(b))
mysettmp=mysettmp.union(set(c))
mysettmp=mysettmp.union(set(d))
mysettmp=mysettmp.union(set(e))
mysettmp=mysettmp.union(set(f))
if len(mysettmp)==9:
nextset4.append((g,a,b,c,d,e,f))

print "final ans"
print nextset4

Output from the python script:

[('160', '603', '035', '357', '572', '728', '289'), ('460', '603', '035', '357', '572', '728', '289'), ('106', '063', '635', '357', '572', '728', '289'), ('406', '063', '635', '357', '572', '728', '289'), ('130', '309', '095', '952', '528', '286', '867'), ('430', '309', '095', '952', '528', '286', '867')]

Or after rearranging the digits according to the rules in problem 43:

4160357289
1460357289
4106357289
1406357289
4130952867
1430952867

These are the six numbers that satisfy all the properties and will add up to the answer.

## Aug 13, 2013

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Round: 3. Rank. Team. TSP = 1. Seebacher Gymnasium Graz. 152.1 = 48.1 + 54.5 + 49.5. 2. Slovakia. 142.8 = 43.1 + 47.8 + 51.9. 3. Bischoefliches Gymnasium ...
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2008.iypt.org/PDF/final.pdf
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results.iypt.org/test/roundresults-1.pdf
Andreas Uller. NN NN. Ingomar Gutmann. Angel Usunov. Hildegard Urban-Woldron. Average: * [[3.0|3.0|3.0]|[2|1]. Problems: Voronezh. I. Emelianova. Slovakia.
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Page 1. SECOND EDITORIAL REMARK ON THE MANUSCRIPT [8]. Hook's law: Hooke's law. Possessive pronouns: its, not it's.
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2009.iypt.org/Buses%20to%20Tianjin.pdf
Buses to Tianjin: Departure station: opposite to gate 15, first floor of the T2 opposite to gate 3, first floor of the T3. Departure time: From 7:00-23:00. The buses ...
42. [PDF]

### Overview for Round: 5 - IYPT

results.iypt.org/IYPT2011/roundresults-5.pdf
Overview for Round: 5. Rank. Team. TSP = 1. Korea. 230.2 = 50.0 + 47.7 + 41.6 + 44.3 + 46.6. 2. Austria. 208.2 = 43.9 + 45.4 + 40.1 + 36.6 + 42.2. 3. Germany.
43. [PDF]

### ranking after PF2 - IYPT 2008

2008.iypt.org/PDF/PF2.pdf
IYPT 2008 - CROATIA. Preliminary results after physics fight 2. Place. Team. PF1. PF2. PF3. PF4. PF5. Points. 1. Germany. 46.0. 48.7. 0.0. 0.0. 0.0. 94.7. 2.
44. [PDF]

### ADHESIVE TAPE Stanislav Krasulin - IYPT Archive

ADHESIVE TAPE. Stanislav Krasulin. BSU Lyceum, Belarus. Introduction. This task asks us to “determine force necessary to remove a piece of adhesive tape.
45. ### Round: 3 - IYPT

results.iypt.org/AYPT2012/roundresults-3.pdf
Round: 3. Rank. Team. TSP = 1. Seebacher Gym 144.2 = 51.9 + 45.9 + 46.4. 2. Bisch Gym. 142.2 = 44.7 + 46.7 + 50.8. 3. Slovakia. 140.1 = 49.1 + 46.8 + 44.2. 4.
46. [PDF]

### Overview for Round: 1 - IYPT

results.iypt.org/IYPT2011/roundresults-1.pdf
Overview for Round: 1. Rank. Team. TSP = 1. Korea. 50.0 = 50.0. 2. Belarus. 46.9 = 46.9. 3. Singapore. 45.1 = 45.1. 4. Chinese Taipei 44.3 = 44.3. 5. Poland.
47. [PDF]

### η - IYPT Archive

archive.iypt.org/.../poster%20of%20problem%2016%20rotating%20spri...
23rd IYPT Problem 16: Rotating Spring. Yu-Cheng Lin, Ya-Ping Chiu. Kaohsiung Municipal Kaohsiung Senior High School, Department of physics, National Sun ...
48. [PDF]

### Round: 3, Room: Room A

results.iypt.org/AYPT2012/previews-3.pdf
Stage 1: Voronezh, Salzburg, Turkey. Problems left to challange: 1, 3, 4, 5, 7, 11, 12, 16 a) rejected by Reporter: 6 ,9 ,14 ,17 b) presented by Reporter: 10 ,13.
49. [PDF]

### Preview for fight 1 - Room A - IYPT

results.iypt.org/IYPT2011/previews-1.pdf
Stage 1: Singapore, Bulgaria, Georgia. Problems left to challange: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,. 16, 17 a) rejected by Reporter: None.
50. [PDF]

### Problem 05 Bright waves - iypt solutions

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51. [PDF]

### Overview for Round: 5

results.iypt.org/IYPT2010/roundresults-5.pdf
Overview for Round: 5. Rank. Team. TSP = 1. Singapore. 227.7 = 45.3 + 46.9 + 46.4 + 44.3 + 44.8. 2. Austria. 226.6 = 44.2 + 38.5 + 45.1 + 48.6 + 50.2. 3. Korea.
52. [PDF]

### Preview for fight 4 - Group A

results.iypt.org/IYPT2012/previews-4.pdf
Stage 1: Slovakia, Bulgaria, Russia. Problems left to challange: 2, 6, 7, 9, 11, 12, 15, 16, 17 a) rejected by Reporter: 10 ,13 b) presented by Reporter: 1 ,4 ,8.
53. [PDF]

### Overview for Round: 2 - IYPT

results.iypt.org/IYPT2011/roundresults-2.pdf
Overview for Round: 2. Rank. Team. TSP = 1. Korea. 97.7 = 50.0 + 47.7. 2. Austria. 89.3 = 43.9 + 45.4. 3. Belarus. 86.3 = 46.9 + 39.4. 4. Chinese Taipei 84.1 ...
54. [PDF]

### Round: 1, Room: Room D

results.iypt.org/test/previews-1.pdf
Stage 1: Voronezh, Slovakia, Turkey. Problems left to challange: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,. 16, 17 a) rejected by Reporter: None b) presented ...
55. [PDF]

### Overview for Round: 2

results.iypt.org/IYPT2012/roundresults-2.pdf
Overview for Round: 2. Rank. Team. TSP = 1. Korea. 88.9 = 44.7 + 44.2. 2. Singapore. 82.8 = 40.1 + 42.7. 3. Iran. 78.9 = 34.8 + 44.1. 4. Switzerland. 78.8 = 37.2 ...
56. [PDF]

### f - iypt solutions

solutions.iypt.org/.../2012_BY_Cutting_the_air_Anton_Khvalyuk_1344...
The problem. When a piece of thread (e.g., nylon) is whirled aroundwith a small mass attached to its free end, a distinct noise is emitted. Study the originof this.
57. [PDF]

### Round: 2 - IYPT

results.iypt.org/AYPT2011/roundresults-2.pdf
Round: 2. Rank. Team. TSP = 1. Seebacher Gymnasium Graz. 102.6 = 48.1 + 54.5. 2. Bischoefliches Gymnasium Graz 92.5 = 45.0 + 47.5. 3. Belarus.
58. [PDF]

### Overview for Round: 4 - IYPT

results.iypt.org/IYPT2012/roundresults-4.pdf
Overview for Round: 4. Rank. Team. TSP = 1. Korea. 179.9 = 44.7 + 44.2 + 41.5 + 49.5. 2. Singapore. 169.2 = 40.1 + 42.7 + 44.0 + 42.4. 3. Iran. 161.6 = 34.8 + ...
59. [PDF]

### Round: 2 - IYPT

results.iypt.org/AYPT2012/roundresults-2.pdf
Round: 2. Rank. Team. TSP = 1. Seebacher Gym 97.8 = 51.9 + 45.9. 2. Slovakia. 95.9 = 49.1 + 46.8. 3. Iran. 92.4 = 43.9 + 48.5. 4. Bisch Gym. 91.4 = 44.7 + 46.7.
60. [PDF]

### Structure of soap film - iypt solutions

solutions.iypt.org/.../2010_GE_Soap_film_Alexander_Barnaveli_13520...
№4. Soap film. Create a soap film in a circular wire loop. The soap film deforms when a charged body is placed next to it. Investigate how the shape of the soap ...
61. [PDF]

### Dynamic Bubbles - IYPT

solutions.iypt.org/.../2012_KR_Bubbles_Hyung_Ju_Suh_1351552704.p...
Problem Statement. Is it possible to float on water when there are a large number of bubbles present? Study how the buoyancy of an object depends on the ...
62. [PDF]

### l - IYPT Archive

archive.iypt.org/.../poster%20of%20problem%2014%20%20magnetic%...
Comprehensive solution of . 23rd IYPT Problem : Magnetic Spring. Tsung-Lin Hsieh and Chien-Rong Lu. Taipei Municipal Jianguo High School and Department ...
63. [PDF]

### Overview for Round: 4 - IYPT

results.iypt.org/IYPT2011/roundresults-4.pdf
Overview for Round: 4. Rank. Team. TSP = 1. Korea. 183.6 = 50.0 + 47.7 + 41.6 + 44.3. 2. Germany. 166.5 = 40.5 + 41.9 + 42.6 + 41.5. 3. Austria. 166.0 = 43.9 + ...
64. [PDF]

### Overview for Round: 3 - IYPT

results.iypt.org/IYPT2011/roundresults-3.pdf
Overview for Round: 3. Rank. Team. TSP = 1. Korea. 139.3 = 50.0 + 47.7 + 41.6. 2. Austria. 129.4 = 43.9 + 45.4 + 40.1. 3. Germany. 125.0 = 40.5 + 41.9 + 42.6. 4.
65. [PDF]

### x - iypt solutions

solutions.iypt.org/.../2012_KR_Bright_waves_Hyung_Ju_Suh_1351552...
Page 1. Page 2. Page 3. i θ f θ air air v c n = water water v c n. = f water i air n n θ θ sin sin = Page 4. Change of Surface. Curvature! Unequal Distribution of ...
66. [PDF]

### ranking after pf5 - IYPT

2008.iypt.org/PDF/PF5.pdf
Place. Team. PF1. PF2. PF3. PF4. PF5. Points. Team #. 1. Germany. 46.0. 48.7. 48.2. 47.0. 45.7. 235.6. 16. 2. New Zealand. 43.5. 43.0. 44.6. 47.8. 49.4. 228.3.
67. [PDF]

### A report should include:

results.iypt.org/IYPT2012/SG/round4groupH.pdf
Nov 3, 2011 - Room: Fight (Round no.): A report should include: o a presentation of the appropriate concepts, theories and principles of the problem 0 an ...
68. [PDF]

### A report should include: - IYPT

results.iypt.org/IYPT2012/SG/round1groupD.pdf
Nov 3, 2011 - Juror: A report should include: a a presentation of the appropriate. concepts, theories and principles of the problem I an explanation of the ...
69. [PDF]

### u re

results.iypt.org/IYPT2012/SG/round4groupK.pdf
Nov 3, 2011 - u re. Fight (Round no.): Room: Stage: 5 Problem no;. 6/ v '. Juror: A report should include: 0 a presentation of the appropriate concepts, theories ...
70. [PDF]

### FightlRound no): i/ “M” Stage: “'

results.iypt.org/IYPT2012/SG/round4groupC.pdf
is a;. FightlRound no): i/ “M” Stage: “'. Juror: Signature: __.______.?______. Room: rin. A report should include: v a presentation of the appropriate concepts, ...
71. [PDF]

### Scoring Guidelines - IYPT

results.iypt.org/IYPT2012/SG/round5groupG.pdf
Z“ I. Fight(Round no.): J Room: Q Stage:, I Problem no.: Scoring Guidelines. Juror: Y A L:§;}€'/A Signature: ~72\; M. A report should include: i» a presentation of ...
72. [PDF]

### Fight (Round no): Stage: - IYPT

results.iypt.org/IYPT2012/SG/round4groupE.pdf
Nov 3, 2011 - Fight (Round no): Stage: me,. “x. Juror Signature: if. A report should include: 0 a presentation of the appropriate concepts, theories and ...
73. [PDF]

### _ 5;»; . j; . . 1%

results.iypt.org/IYPT2012/SG/round2groupH.pdf
AWE Contribution to the discussion fr? 4'; frank'. _ 5;»; . j; . . 1%. Fina] Grade; Reporter Final Grade: Opponent Final Grade: Reviewer 'e'. ' ' ' a'. Q/Signature: I.
74. [PDF]

### ui - IYPT

results.iypt.org/IYPT2012/SG/round1groupK.pdf
Nov 3, 2011 - Fight (Round no): m. Juror: rl/ ui. A report should include: a a presentation of the appropriate concepts, theories and principles of the problem 0 ...
75. [PDF]

### 1 ; Signature:

results.iypt.org/IYPT2012/SG/round1groupF.pdf
Nov 3, 2011 - 1 ; Signature: Fight(Roundno.): 'Xg Room: Stage: Pr0blemno1l>2. A report should include: I a presentation of the appropriate concepts, theories ...
76. [PDF]

### Fight (Round no): 3*" Stage:

results.iypt.org/IYPT2012/SG/round2groupE.pdf
Fight (Round no): 3*" Stage: Juror: Signature: “ii. “lama” i". A report should include: e a presentation of the appropriate concepts, theories and principles of the ...
77. [PDF]

### ui

results.iypt.org/IYPT2012/SG/round3groupE.pdf
Nov 3, 2011 - ui. Room: Li. Fight (Round no.): Juror: , A l“: Stage: Problemnoyfz b. , '4“? Signature: [,4W. r l. » i. A report should include: 0 a presentation of the ...
78. [PDF]

### FightlRound no.): Room: Stage: A

results.iypt.org/IYPT2012/SG/round5groupA.pdf
Nov 3, 2011 - I'M A g ,. FightlRound no.): Room: Stage: A v Juror: Signature: cf. Problem nor:w. A report should include: 0 a presentation of the appropriate ...
79. [PDF]

### Page 1 ti \ Room: '3 / Fight (Round no): v Stage: / r“ " *1/44: . Juror ...

results.iypt.org/IYPT2012/SG/round5groupE.pdf
Nov 3, 2011 - ti. \ Room: '3. /. Fight (Round no): v Stage: / r“ " *1/44: . Juror: {Li B b i Signature: A report should include: Q a presentation of the appropriate ...
80. [PDF]

### K A - IYPT

results.iypt.org/IYPT2012/SG/round2groupK.pdf
K A. Stage: Problem no.: if? n E Signature: 5' ' f “in” g. /. Fight (Round no): Room: Juror: . Guidelines. A report should include: o a presentation of the appropriate ...
81. [PDF]

### Signatu re: '; a/

results.iypt.org/IYPT2012/SG/round3groupF.pdf
Nov 3, 2011 - Signatu re: '; a/. Stage: A report should include: 0 a presentation of the appropriate concepts, theories and principles of the problem 0 an ...
82. [PDF]

### {we a“ W Juror: i oval/var Signature: MW 6 , - IYPT

results.iypt.org/IYPT2012/SG/round3groupI.pdf
Nov 3, 2011 - Fight (Round no): Room: 6» Stage: r. {we a“ W Juror: i oval/var Signature: MW 6 ,. Isl/Ages. A report should include: 0 a presentation of the ...
83. [PDF]

### cring - IYPT

results.iypt.org/IYPT2012/SG/round1groupH.pdf
we. Juror: r \1 ~, cring. Signature: A , ,1,. FightiRound no): i'i Room: i'i; Stage: i Problem not: 5*. A report should include: 0 a presentation of the appropriate ...
84. [PDF]

### Fight (Round no): in

results.iypt.org/IYPT2012/SG/round3groupA.pdf
Nov 3, 2011 - Fight (Round no): in. Room: i la”. Signature: imp—'2'". A report should include: An opposition should show that: a a presentation of the ...
85. [PDF]

### iii - IYPT

results.iypt.org/IYPT2012/SG/round5groupB.pdf
iii. Stage: Fight (Round no): if;. Juror Signature: Problem no.: A report should include: o a presentation of the appropriate concepts, theories and principles of the ...
86. [PDF]

### ML - IYPT

results.iypt.org/IYPT2012/SG/round2groupA.pdf
Room: Stage: g Problem no.2. Fight (Round no.): ML. ' ring iurorffél éijﬁliil Signature: Q} 5%“WWW. A report should include: 0 a presentation of the appropriate ...
87. [PDF]

### _\ Fight (Round no):

results.iypt.org/IYPT2012/SG/round2groupF.pdf
Nov 3, 2011 - _\. Fight (Round no): c I' Q' I I' ' V <11"? Juror: ' V? j; , Si nature: 2. Room: /dl Stage: Problemnocz l coring Guidelines. A report should include:.
88. [PDF]

### C a

results.iypt.org/IYPT2012/SG/round1groupC.pdf
or“ 6 of the re ort e to i s repented or discussed. Explanation of formulae and p symbols MM [ii Finds shortcomings or errors in El Relevance of uestions to both ...
89. [PDF]

### Fight(Roundno.): ii Room: E Stage: 3

results.iypt.org/IYPT2012/SG/round1groupE.pdf
Fight(Roundno.): ii Room: E Stage: 3 swoop,. Problem no: 7L. A report should include: 0 a presentation of the appropriate concepts, theories and principles of ...
90. [PDF]

### Scoring Guidelines

results.iypt.org/IYPT2012/SG/round2groupC.pdf
Scoring Guidelines. Z. Fight (Round no): Room: Juror. Signature: Stage: l i. A report should include: e a presentation of the appropriate concepts, theories and ...
91. [PDF]

### ri uidelins

results.iypt.org/IYPT2012/SG/round2groupB.pdf
ri uidelins. A report should include: - a presentation of the appropriate concepts, theories and principles of the problem Q an explanation of the observed ...
92. [PDF]

### f

results.iypt.org/IYPT2012/SG/round3groupD.pdf
Nov 3, 2011 - Fight(Round no): “i; Roomzwg Stage: /f f. Problem ho; \D. Juror: Signature: 5&7: A report should include: 0 a presentation of the appropriate ...
93. [PDF]

### Fight(Round no): '2 Room: @2 Stage: v Problem no - IYPT

results.iypt.org/IYPT2012/SG/round2groupG.pdf
Fight(Round no): '2 Room: @2 Stage: v Problem no,:__. I x /',/'s.»»'-"' l _ in. Juror \ r. A report should include: 0 a presentation of the appropriate concepts, ...
94. [PDF]

### Fight(Round no): Room: Stage: 5 Problem no: Juror 1", x lZTUi/Léi ...

results.iypt.org/IYPT2012/SG/round5groupD.pdf
Nov 3, 2011 - 3 \\. Fight(Round no): Room: Stage: 5 Problem no: Juror 1", x lZTUi/Léi iliieo Signature: c'ZQawm. A,. A report should include: Q a presentation ...
95. [PDF]

### '- r . - IYPT

results.iypt.org/IYPT2012/SG/round4groupF.pdf
Jr. Fight(Roundno.): P? Room: '- r . w Stage: A Problernno: 3. Signature: .luror: ". A report should include: 0 a presentation of the appropriate concepts, theories ...
96. [PDF]

### iii, iii: i;

results.iypt.org/IYPT2012/SG/round4groupB.pdf
Nov 3, 2011 - Fight (Round no): Juror: all Room: if»: Stage: y Problemno,:_. Signature: iii, iii: i; f ill/damn “WW'. A report should include: Q a presentation of the ...
97. [PDF]

### ri - IYPT

results.iypt.org/IYPT2012/SG/round4groupG.pdf
is” El. Fight(Roundno.): Room: Stage: ~ lin ri. A report should include: a a presentation of the appropriate concepts, theories and principles of the problem v an ...