From 44358923e3c45e9645b385b2e2818a0de44c4ea5 Mon Sep 17 00:00:00 2001 From: MitchellHansen Date: Mon, 13 Mar 2017 22:53:00 -0700 Subject: [PATCH] Corrected a few C'isms and also added the solutions to four more problems --- assets/problem_21_names.txt | 1 + assets/scratch.txt | 1 + problem_2.py | 4 +- problem_21.py | 41 ++++++++++++++++- problem_22.py | 20 +++++++++ problem_23.py | 89 +++++++++++++++++++++++++++++++++++++ problem_24.py | 26 +++++++++++ problem_25.py | 0 problem_6.py | 4 +- problem_7.py | 2 +- problem_8.py | 2 +- 11 files changed, 183 insertions(+), 7 deletions(-) create mode 100644 assets/problem_21_names.txt create mode 100644 assets/scratch.txt create mode 100644 problem_22.py create mode 100644 problem_23.py create mode 100644 problem_24.py create mode 100644 problem_25.py diff --git a/assets/problem_21_names.txt b/assets/problem_21_names.txt new file mode 100644 index 0000000..d3c184e --- /dev/null +++ b/assets/problem_21_names.txt @@ -0,0 +1 @@ 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26060, 26068, 26070, 26070, 26082, 26094, 26106, 26116, 26132, 26140, 26148, 26154, 26156, 26156, 26166, 26170, 26180, 26190, 26196, 26214, 26216, 26218, 26220, 26224, 26226, 26232, 26236, 26238, 26240, 26244, 26250, 26250, 26252, 26260, 26266, 26266, 26268, 26271, 26280, 26284, 26288, 26288, 26288, 26292, 26295, 26296, 26298, 26304, 26308, 26322, 26322, 26322, 26328, 26346, 26358, 26376, 26376, 26376, 26394, 26394, 26404, 26404, 26404, 26408, 26420, 26426, 26430, 26432, 26436, 26442, 26442, 26448, 26456, 26464, 26466, 26478, 26484, 26496, 26496, 26500, 26504, 26516, 26520, 26532, 26538, 26538, 26540, 26548, 26550, 26562, 26562, 26562, 26572, 26574, 26586, 26595, 26610, 26612, 26622, 26636, 26648, 26658, 26658, 26664, 26670, 26678, 26680, 26682, 26694, 26694, 26700, 26706, 26710, 26718, 26718, 26718, 26728, 26732, 26736, 26740, 26742, 26754, 26764, 26776, 26776, 26778, 26778, 26788, 26790, 26792, 26796, 26808, 26814, 26816, 26816, 26826, 26826, 26840, 26844, 26848, 26856, 26876, 26898, 26898, 26898, 26910, 26916, 26936, 26944, 26948, 26949, 26952, 26952, 26964, 26970, 26982, 26984, 26992, 26994, 27010, 27040, 27042, 27052, 27054, 27060, 27060, 27064, 27076, 27078, 27078, 27080, 27080, 27090, 27096, 27096, 27096, 27096, 27108, 27108, 27114, 27114, 27116, 27124, 27126, 27132, 27136, 27138, 27140, 27142, 27148, 27150, 27150, 27150, 27180, 27188, 27192, 27204, 27204, 27210, 27212, 27218, 27224, 27230, 27234, 27240, 27244, 27244, 27244, 27244, 27246, 27256, 27258, 27264, 27270, 27276, 27276, 27280, 27284, 27284, 27294, 27294, 27302, 27306, 27312, 27312, 27312, 27312, 27320, 27328, 27340, 27360, 27366, 27372, 27378, 27402, 27408, 27412, 27414, 27428, 27438, 27438, 27440, 27440, 27452, 27454, 27456, 27456, 27462, 27468, 27478, 27480, 27486, 27498, 27498, 27510, 27510, 27520, 27536, 27552, 27558, 27560, 27564, 27564, 27580, 27580, 27582, 27582, 27582, 27594, 27596, 27600, 27612, 27616, 27624, 27624, 27630, 27640, 27664, 27666, 27678, 27678, 27690, 27702, 27704, 27712, 27718, 27724, 27724, 27726, 27738, 27738, 27738, 27738, 27738, 27740, 27744, 27746, 27748, 27750, 27750, 27754, 27756, 27756, 27760, 27774, 27776, 27780, 27780, 27794, 27796, 27798, 27798, 27800, 27804, 27804, 27810, 27812, 27824, 27825, 27832, 27834, 27834, 27844, 27846, 27864, 27870, 27884, 27888, 27888, 27900, 27900, 27906, 27906, 27906, 27906, 27918, 27920, 27924, 27940, 27948, 27954, 27961, 27972, 27980, 27980, 27990, 27992, 28014, 28016, 28026, 28026, 28034, 28038, 28050, 28052, 28064, 28064, 28072, 28074, 28076, 28084, 28086, 28086, 28088, 28104, 28106, 28110, 28116, 28116, 28116, 28122, 28125, 28132, 28136, 28140, 28146, 28158, 28170, 28170, 28172, 28172, 28172, 28176, 28180, 28180, 28190, 28192, 28210, 28216, 28230, 28240, 28248, 28250, 28268, 28278, 28284, 28300, 28302, 28306, 28314, 28314, 28316, 28338, 28338, 28338, 28338, 28338, 28338, 28338, 28352, 28362, 28368, 28374, 28376, 28392, 28398, 28400, 28400, 28410, 28414, 28424, 28424, 28444, 28446, 28460, 28472, 28472, 28472, 28486, 28488, 28506, 28536, 28540, 28544, 28556, 28566, 28566, 28566, 28566, 28572, 28576, 28588, 28600, 28602, 28602, 28608, 28610, 28616, 28620, 28620, 28626, 28628, 28632, 28632, 28632, 28634, 28640, 28640, 28650, 28652, 28656, 28656, 28664, 28664, 28666, 28668, 28677, 28692, 28698, 28698, 28700, 28700, 28708, 28718, 28720, 28724, 28728, 28731, 28744, 28746, 28746, 28752, 28756, 28758, 28770, 28784, 28788, 28792, 28796, 28812, 28818, 28820, 28824, 28830, 28842, 28844, 28848, 28854, 28856, 28856, 28864, 28872, 28880, 28890, 28900, 28912, 28916, 28924, 28928, 28930, 28936, 28938, 28940, 28944, 28962, 28968, 28976, 29004, 29004, 29034, 29034, 29040, 29044, 29060, 29076, 29094, 29094, 29094, 29094, 29097, 29098, 29104, 29120, 29136, 29136, 29140, 29154, 29166, 29184, 29188, 29192, 29196, 29200, 29203, 29204, 29212, 29212, 29220, 29230, 29232, 29232, 29236, 29238, 29238, 29240, 29256, 29260, 29288, 29292, 29296, 29308, 29310, 29316, 29324, 29328, 29338, 29340, 29344, 29344, 29344, 29350, 29351, 29358, 29358, 29368, 29382, 29400, 29418, 29418, 29428, 29434, 29436, 29440, 29440, 29442, 29444, 29454, 29460, 29478, 29490, 29506, 29510, 29514, 29514, 29514, 29522, 29538, 29540, 29548, 29562, 29564, 29574, 29576, 29580, 29580, 29584, 29592, 29594, 29598, 29604, 29610, 29616, 29624, 29626, 29628, 29628, 29634, 29634, 29644, 29658, 29666, 29670, 29688, 29688, 29706, 29740, 29752, 29754, 29756, 29764, 29764, 29780, 29780, 29790, 29804, 29818, 29828, 29832, 29838, 29838, 29840, 29846, 29850, 29868, 29886, 29890, 29892, 29898, 29900, 29904, 29916, 29922, 29932, 29932, 29944, 29958, 29958, 29964, 29968, 29972, 29976, 29984, 29988, 29996, 30006, 30008, 30016, 30018, 30036, 30040, 30040, 30042, 30044, 30048, 30048, 30052, 30054, 30060, 30072, 30084, 30092, 30108, 30116, 30122, 30126, 30132, 30138, 30140, 30174, 30176, 30180, 30184, 30192, 30195, 30198, 30200, 30204, 30224, 30231, 30244, 30248, 30248, 30252, 30256, 30258, 30264, 30270, 30274, 30282, 30282, 30286, 30292, 30296, 30312, 30354, 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31392, 31398, 31404, 31412, 31422, 31426, 31434, 31440, 31444, 31444, 31444, 31460, 31488, 31494, 31496, 31518, 31544, 31578, 31596, 31596, 31600, 31614, 31626, 31632, 31640, 31660, 31690, 31692, 31704, 31704, 31704, 31714, 31734, 31734, 31752, 31770, 31776, 31778, 31780, 31794, 31800, 31806, 31806, 31812, 31812, 31820, 31824, 31826, 31830, 31848, 31860, 31864, 31866, 31870, 31876, 31878, 31916, 31920, 31924, 31928, 31936, 31938, 31956, 31960, 31960, 31968, 31980, 31986, 31992, 31992, 31992, 31998, 32004, 32012, 32022, 32032, 32034, 32046, 32056, 32058, 32076, 32076, 32104, 32118, 32120, 32140, 32144, 32144, 32148, 32184, 32190, 32204, 32208, 32220, 32240, 32240, 32262, 32284, 32284, 32300, 32320, 32328, 32346, 32364, 32370, 32370, 32376, 32396, 32403, 32404, 32424, 32440, 32442, 32442, 32460, 32468, 32472, 32476, 32478, 32490, 32492, 32492, 32526, 32538, 32544, 32550, 32554, 32568, 32571, 32584, 32592, 32596, 32604, 32616, 32620, 32624, 32626, 32652, 32652, 32664, 32670, 32672, 32676, 32682, 32706, 32712, 32724, 32728, 32740, 32742, 32750, 32752, 32754, 32764, 32778, 32778, 32778, 32826, 32826, 32840, 32844, 32844, 32856, 32860, 32860, 32874, 32876, 32880, 32922, 32922, 32928, 32928, 32982, 32988, 32992, 32994, 33024, 33028, 33032, 33036, 33036, 33040, 33048, 33054, 33054, 33056, 33066, 33068, 33068, 33078, 33080, 33094, 33096, 33120, 33126, 33126, 33128, 33132, 33132, 33136, 33138, 33140, 33144, 33146, 33150, 33152, 33160, 33162, 33168, 33192, 33196, 33198, 33204, 33204, 33210, 33210, 33210, 33220, 33223, 33228, 33240, 33260, 33282, 33296, 33296, 33310, 33318, 33324, 33324, 33324, 33328, 33340, 33356, 33360, 33364, 33414, 33420, 33428, 33438, 33444, 33450, 33452, 33476, 33476, 33488, 33500, 33504, 33504, 33522, 33522, 33528, 33540, 33546, 33570, 33570, 33582, 33588, 33590, 33606, 33612, 33620, 33630, 33642, 33678, 33684, 33714, 33714, 33716, 33720, 33728, 33740, 33756, 33762, 33768, 33786, 33786, 33788, 33792, 33792, 33804, 33804, 33804, 33806, 33836, 33846, 33852, 33864, 33880, 33894, 33906, 33924, 33930, 33930, 33936, 33936, 33940, 33964, 33972, 33978, 33982, 33984, 33984, 33984, 34002, 34008, 34026, 34040, 34050, 34060, 34062, 34090, 34092, 34092, 34120, 34124, 34134, 34136, 34152, 34164, 34168, 34170, 34220, 34236, 34236, 34240, 34244, 34248, 34266, 34284, 34296, 34296, 34316, 34318, 34320, 34320, 34332, 34368, 34368, 34372, 34380, 34380, 34384, 34398, 34404, 34404, 34404, 34410, 34420, 34436, 34448, 34458, 34460, 34476, 34488, 34508, 34512, 34524, 34528, 34530, 34554, 34554, 34604, 34604, 34638, 34640, 34650, 34680, 34710, 34728, 34740, 34756, 34758, 34758, 34764, 34776, 34776, 34796, 34800, 34803, 34806, 34818, 34838, 34856, 34868, 34872, 34884, 34890, 34892, 34916, 34938, 34938, 34952, 34962, 34976, 35000, 35004, 35016, 35034, 35040, 35094, 35136, 35140, 35160, 35177, 35180, 35182, 35216, 35224, 35226, 35232, 35272, 35276, 35286, 35298, 35310, 35312, 35340, 35346, 35358, 35364, 35382, 35390, 35392, 35394, 35406, 35420, 35436, 35448, 35456, 35476, 35478, 35480, 35514, 35516, 35520, 35532, 35556, 35564, 35598, 35616, 35628, 35658, 35658, 35664, 35664, 35666, 35676, 35680, 35682, 35684, 35718, 35736, 35736, 35760, 35760, 35772, 35790, 35802, 35802, 35812, 35820, 35824, 35838, 35838, 35852, 35886, 35888, 35898, 35908, 35910, 35912, 35916, 35916, 35916, 35916, 35932, 35946, 35952, 35976, 35984, 36000, 36004, 36006, 36024, 36028, 36032, 36040, 36044, 36048, 36060, 36066, 36078, 36084, 36112, 36120, 36126, 36150, 36168, 36175, 36204, 36204, 36208, 36210, 36216, 36216, 36234, 36270, 36300, 36318, 36332, 36336, 36360, 36372, 36378, 36378, 36384, 36396, 36396, 36400, 36402, 36404, 36428, 36446, 36462, 36480, 36516, 36524, 36528, 36528, 36528, 36534, 36558, 36564, 36572, 36572, 36600, 36600, 36620, 36642, 36654, 36662, 36688, 36696, 36702, 36716, 36744, 36744, 36748, 36756, 36770, 36780, 36781, 36784, 36816, 36816, 36852, 36872, 36882, 36904, 36906, 36954, 36968, 36972, 37000, 37004, 37008, 37016, 37020, 37036, 37044, 37074, 37106, 37110, 37136, 37158, 37170, 37176, 37180, 37192, 37196, 37240, 37242, 37248, 37260, 37300, 37320, 37326, 37326, 37326, 37350, 37356, 37428, 37440, 37444, 37446, 37448, 37452, 37458, 37464, 37470, 37482, 37484, 37504, 37512, 37536, 37536, 37542, 37560, 37644, 37644, 37645, 37656, 37696, 37722, 37744, 37744, 37772, 37818, 37818, 37824, 37828, 37848, 37848, 37848, 37857, 37860, 37866, 37878, 37884, 37884, 37890, 37896, 37914, 37944, 37956, 37980, 37980, 37982, 37992, 37998, 38020, 38040, 38048, 38070, 38076, 38092, 38096, 38100, 38104, 38106, 38120, 38164, 38164, 38166, 38178, 38216, 38238, 38244, 38256, 38274, 38292, 38328, 38328, 38332, 38334, 38346, 38352, 38400, 38430, 38448, 38508, 38520, 38544, 38544, 38544, 38544, 38548, 38556, 38568, 38576, 38604, 38636, 38646, 38670, 38694, 38706, 38778, 38778, 38796, 38808, 38840, 38850, 38850, 38860, 38884, 38892, 38924, 38940, 38948, 38970, 38994, 39004, 39004, 39026, 39048, 39051, 39057, 39078, 39084, 39086, 39090, 39148, 39156, 39180, 39180, 39186, 39192, 39200, 39216, 39228, 39240, 39246, 39258, 39300, 39320, 39324, 39324, 39336, 39340, 39384, 39384, 39408, 39408, 39424, 39426, 39480, 39512, 39536, 39552, 39558, 39564, 39570, 39582, 39600, 39624, 39636, 39668, 39696, 39696, 39708, 39708, 39708, 39720, 39738, 39768, 39800, 39804, 39804, 39804, 39816, 39844, 39846, 39872, 39880, 39928, 39954, 39984, 40000, 40065, 40068, 40076, 40086, 40104, 40110, 40120, 40122, 40134, 40152, 40160, 40236, 40272, 40276, 40280, 40284, 40344, 40356, 40374, 40406, 40416, 40440, 40440, 40446, 40452, 40470, 40480, 40488, 40524, 40554, 40560, 40608, 40624, 40632, 40632, 40640, 40668, 40698, 40704, 40728, 40736, 40770, 40796, 40840, 40848, 40896, 40908, 40920, 40932, 40956, 40956, 40968, 40986, 40992, 41008, 41046, 41066, 41076, 41095, 41100, 41100, 41106, 41112, 41120, 41196, 41202, 41220, 41240, 41244, 41280, 41304, 41340, 41352, 41388, 41392, 41396, 41426, 41436, 41440, 41472, 41496, 41508, 41532, 41568, 41568, 41600, 41604, 41640, 41646, 41652, 41688, 41696, 41704, 41726, 41732, 41776, 41790, 41850, 41862, 41880, 41904, 41904, 41928, 41934, 41946, 41952, 41972, 42072, 42134, 42150, 42156, 42164, 42180, 42216, 42216, 42282, 42288, 42330, 42332, 42348, 42348, 42386, 42414, 42426, 42456, 42456, 42528, 42552, 42576, 42606, 42620, 42636, 42643, 42648, 42720, 42726, 42768, 42768, 42840, 42840, 42876, 42880, 42912, 42924, 42954, 43044, 43050, 43092, 43122, 43128, 43160, 43164, 43176, 43180, 43204, 43224, 43260, 43290, 43296, 43320, 43320, 43368, 43380, 43386, 43400, 43446, 43452, 43464, 43476, 43512, 43520, 43548, 43614, 43614, 43632, 43656, 43666, 43680, 43704, 43764, 43794, 43800, 43800, 43824, 43830, 43848, 43852, 43860, 43920, 43976, 43992, 43992, 43992, 44000, 44010, 44044, 44052, 44064, 44088, 44100, 44136, 44144, 44164, 44220, 44256, 44332, 44340, 44352, 44370, 44400, 44400, 44412, 44432, 44442, 44484, 44492, 44586, 44604, 44622, 44628, 44664, 44772, 44772, 44856, 44868, 44886, 44892, 44940, 44944, 44952, 44994, 45018, 45096, 45104, 45186, 45210, 45276, 45328, 45336, 45420, 45432, 45486, 45531, 45600, 45600, 45636, 45696, 45726, 45740, 45756, 45828, 45888, 45990, 46056, 46074, 46104, 46128, 46170, 46176, 46200, 46340, 46396, 46440, 46564, 46584, 46608, 46620, 46680, 46692, 46716, 46764, 46776, 46812, 46816, 46848, 46863, 46892, 46900, 46932, 46944, 46960, 46968, 46968, 47004, 47028, 47058, 47070, 47112, 47232, 47274, 47282, 47304, 47328, 47448, 47508, 47544, 47544, 47568, 47580, 47592, 47640, 47688, 47724, 47800, 47826, 47832, 47876, 47940, 47952, 48012, 48012, 48042, 48078, 48120, 48244, 48258, 48264, 48288, 48303, 48330, 48396, 48420, 48480, 48492, 48512, 48522, 48546, 48571, 48656, 48660, 48726, 48750, 48792, 48804, 48828, 48880, 48882, 48912, 48960, 48972, 49050, 49116, 49368, 49413, 49464, 49512, 49524, 49552, 49620, 49632, 49662, 49686, 49756, 49800, 49872, 49956, 50016, 50076, 50088, 50148, 50172, 50304, 50316, 50328, 50390, 50396, 50508, 50528, 50540, 50544, 50580, 50604, 50624, 50688, 50700, 50778, 50838, 51000, 51072, 51084, 51168, 51192, 51198, 51336, 51420, 51420, 51480, 51648, 51660, 51660, 51714, 51724, 51744, 51894, 51996, 52176, 52188, 52302, 52320, 52326, 52368, 52584, 52612, 52656, 52740, 52794, 52816, 52944, 53064, 53124, 53304, 53316, 53508, 53520, 53664, 53844, 53856, 53880, 53880, 54080, 54150, 54192, 54232, 54372, 54420, 54672, 54688, 54756, 54840, 55032, 55056, 55080, 55248, 55260, 55278, 55320, 55320, 55440, 55440, 55680, 55744, 55812, 55860, 56040, 56070, 56208, 56280, 56364, 56448, 56520, 56616, 56754, 57120, 57148, 57204, 57408, 57528, 57612, 57696, 57708, 57888, 58530, 58680, 58944, 59088, 60120, 60228, 60300, 60696, 60720, 61230, 61320, 61488, 61560, 62040, 62372, 62664, 63056, 63420, 63600, 63936, 63972, 64200, 64440, 64656, 65244, 65520, 65520, 65988, 66120, 66282, 66600, 67344, 69300, 69916, 70920, 71232, 74744, 76080, 84600] diff --git a/problem_2.py b/problem_2.py index abbc9dc..167f9cc 100644 --- a/problem_2.py +++ b/problem_2.py @@ -1,6 +1,6 @@ -prev_two = 1; -prev_one = 0; +prev_two = 1 +prev_one = 0 fib_num = 0 sum = 0 diff --git a/problem_21.py b/problem_21.py index 3d2ba56..4f5b956 100644 --- a/problem_21.py +++ b/problem_21.py @@ -1,5 +1,44 @@ import math +# Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). +# If d(a) = b and d(b) = a, where a ≠ b, then a and b are an amicable pair and each of a and b are called amicable numbers. +# For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. +# The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220. + +# Evaluate the sum of all the amicable numbers under 10000. + +def get_divisor_sum(input): + + divisor_sum = 0 + cutoff = math.ceil(input / 2) + + for idx, val in enumerate(range(cutoff), 1): + if input % idx == 0: + divisor_sum += idx + + return divisor_sum + + +def get_amicable(): + + sums = [] + + for i in range(10000): + sums.append(get_divisor_sum(i)) + + amicable_sum = 0 + + for idx, val in enumerate(sums): + if val < 10000: + if sums[val] == idx and idx != val: + amicable_sum += val + sums[val] + print("VAL1_IDX: ", val) + #print("VAL1_VAL: ", val) + print("VAL2_VAL: ", sums[val]) + print("") + + return amicable_sum/2 + +print(get_amicable()) -count_array \ No newline at end of file diff --git a/problem_22.py b/problem_22.py new file mode 100644 index 0000000..95f404f --- /dev/null +++ b/problem_22.py @@ -0,0 +1,20 @@ +import ast + +# read in the file, convert to a list +f = open('assets/problem_21_names.txt', 'r') # We need to re-open the file +data = ast.literal_eval(f.read()) +f.close() + +data.sort() + +sum = 0 + +for idx, name in enumerate(data): + + word_sum = 0 + for letter in name: + word_sum += ord(letter) - 65 + 1 + + sum += word_sum * (idx+1) + +print(sum) \ No newline at end of file diff --git a/problem_23.py b/problem_23.py new file mode 100644 index 0000000..e605dc9 --- /dev/null +++ b/problem_23.py @@ -0,0 +1,89 @@ +# A perfect number is a number for which the sum of its proper +# divisors is exactly equal to the number. For example, the sum +# of the proper divisors of 28 would be 1 + 2 + 4 + 7 + 14 = 28, +# which means that 28 is a perfect number. +# +# A number n is called deficient if the sum of its proper divisors +# is less than n and it is called abundant if this sum exceeds n. +# +# As 12 is the smallest abundant number, 1 + 2 + 3 + 4 + 6 = 16, +# the smallest number that can be written as the sum of two abundant +# numbers is 24. By mathematical analysis, it can be shown that all +# integers greater than 28123 can be written as the sum of two +# abundant numbers. However, this upper limit cannot be reduced any +# further by analysis even though it is known that the greatest +# number that cannot be expressed as the sum of two abundant numbers +# is less than this limit. +# +# Find the sum of all the positive integers which cannot be written +# as the sum of two abundant numbers. + + +# This program is essentially n^3 in the search and n^2 for the divisor count, +# so it runs reaalllyy slowly + +import math +import pickle + +def get_divisor_sum(input): + + divisor_sum = 0 + cutoff = math.ceil(input / 2) + + for idx, val in enumerate(range(cutoff), 1): + if input % idx == 0: + divisor_sum += idx + + return divisor_sum + +def get_abundants(): + + list = [] + + for i in range(28123): + sum = get_divisor_sum(i) + if sum > i: + list.append(i) + + with open('assets/outfile', 'wb') as fp: + pickle.dump(list, fp) + + return list + + +# uncomment on any subsiquent runs to retrieve the cached data +# with open('assets/outfile', 'rb') as fp: +# abundant_list = pickle.load(fp) + +# comment this line out after the first run +abundant_list = get_abundants() +abundant_list.sort() + +seen = {} +abundant_list = [seen.setdefault(x, x) for x in abundant_list if x not in seen] + +summation = 0 + +for i in range(28123): + + found = False + for first_number in abundant_list: + + if first_number > i: + break + + search = i - first_number + if search in abundant_list: + found = True + break + + if not found: + summation += i + + + +print(summation) +print(abundant_list) + + + diff --git a/problem_24.py b/problem_24.py new file mode 100644 index 0000000..45e24c7 --- /dev/null +++ b/problem_24.py @@ -0,0 +1,26 @@ + +# A permutation is an ordered arrangement of objects. +# For example, 3124 is one possible permutation of the +# digits 1, 2, 3 and 4. If all of the permutations are +# listed numerically or alphabetically, we call it +# lexicographic order. The lexicographic permutations of 0, 1 and 2 are: +# +# 012 021 102 120 201 210 +# +# What is the millionth lexicographic permutation of the digits +# 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9? + +# learned about itertools from problem 23. Python is wonderful + +import itertools + +list = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] + +uniquelist = set(list) + +iter = 0 +for n in itertools.permutations(uniquelist, 10): + iter += 1 + if iter == 1000000: + print(n) + break diff --git a/problem_25.py b/problem_25.py new file mode 100644 index 0000000..e69de29 diff --git a/problem_6.py b/problem_6.py index a0f2db8..e6bdafd 100644 --- a/problem_6.py +++ b/problem_6.py @@ -1,14 +1,14 @@ #Difference between the sum of squares and the square of the sum of the first 100 numbers #find the sum of the squares -sum_of_squares = 0; +sum_of_squares = 0 for i in range (1, 101): sum_of_squares += i * i #find the square of the sum square_of_sums = 0 for i in range(1, 101): - square_of_sums += i; + square_of_sums += i square_of_sums *= square_of_sums diff --git a/problem_7.py b/problem_7.py index 45d3759..9e18510 100644 --- a/problem_7.py +++ b/problem_7.py @@ -13,7 +13,7 @@ def isPrime(number): return prime -i = 1; +i = 1 primeCount = 1 while (primeCount != 10001): if isPrime(i): diff --git a/problem_8.py b/problem_8.py index 5e67fc2..12bae64 100644 --- a/problem_8.py +++ b/problem_8.py @@ -28,7 +28,7 @@ queue = collections.deque() for i in range(0, 13): queue.append(number[i]) -max_product = 0; +max_product = 0 for i in range(13, 1000): product = 1 for q in queue: