2024: d19: ex2: add solution

2024/d02/ex1/ex1.py

@@ -0,0 +1,28 @@
+#!/usr/bin/env python
+
+import itertools
+import sys
+
+Report = list[int]
+
+
+def solve(input: list[str]) -> int:
+    def parse(input: list[str]) -> list[Report]:
+        return [[int(n) for n in line.split()] for line in input]
+
+    def is_safe(report: Report) -> bool:
+        def is_increasing_safe(report: Report) -> bool:
+            return all(1 <= (b - a) <= 3 for a, b in itertools.pairwise(report))
+
+        return is_increasing_safe(report) or is_increasing_safe(report[::-1])
+
+    return sum(is_safe(report) for report in parse(input))
+
+
+def main() -> None:
+    input = sys.stdin.read().splitlines()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d02/ex2/ex2.py

@@ -0,0 +1,36 @@
+#!/usr/bin/env python
+
+import itertools
+import sys
+
+Report = list[int]
+
+
+def solve(input: list[str]) -> int:
+    def parse(input: list[str]) -> list[Report]:
+        return [[int(n) for n in line.split()] for line in input]
+
+    def is_safe(report: Report) -> bool:
+        def is_increasing_safe(report: Report) -> bool:
+            return all(1 <= (b - a) <= 3 for a, b in itertools.pairwise(report))
+
+        return is_increasing_safe(report) or is_increasing_safe(report[::-1])
+
+    # Dampening by brute force
+    def is_dampened_safe(report: Report) -> bool:
+        for i in range(len(report)):
+            dampened_report = report[:i] + report[i + 1 :]
+            if is_safe(dampened_report):
+                return True
+        return False
+
+    return sum(is_dampened_safe(report) for report in parse(input))
+
+
+def main() -> None:
+    input = sys.stdin.read().splitlines()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d03/ex1/ex1.py

@@ -0,0 +1,36 @@
+#!/usr/bin/env python
+
+import dataclasses
+import re
+import sys
+
+
+@dataclasses.dataclass
+class MulInstruction:
+    lhs: int
+    rhs: int
+
+    def calc(self) -> int:
+        return self.lhs * self.rhs
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> list[MulInstruction]:
+        res: list[MulInstruction] = []
+
+        MUL_REGEX = re.compile(r"mul\((\d+),(\d+)\)")
+        for match in MUL_REGEX.finditer(input):
+            res.append(MulInstruction(int(match.group(1)), int(match.group(2))))
+
+        return res
+
+    return sum(inst.calc() for inst in parse(input))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d03/ex1/input

@@ -0,0 +1,6 @@
+}}+{where()mul(873,602) mul(954,447)^where()~mul(548,799)-<what()mul(588,631)^who()'@( [mul(143,388)how(445,327))$ select()who()mul(746,719)mul(963,262)}'*+why()<?&/select()don't()[%]% ^^mul(933,492)don't() ^-who()(%how()]mul(583,700))!,where()mul(999,507)](mul(821,504)^%/;:-mul(471,220)who()&'who(161,37)<'mul(843,213),<mul(298,802)-()@how()where()@+[:mul(910,85)'when()($select()%-*mul(532,213)*from()select()$,what()mul(956,380)mul(326,87)mul(243,775)!/:from()&^^mul(118,409)!)what()select()mul(610,89)mul(432,774)from()# from()<mul(400,864):+&mul(957,923)'don't()+select()why()mul(496,383),&why()(-;)+!#mul(79,135)~{mul(500,619),#what(361,47)@&;@+mul(580,98)<>#why():$from()(!mul(660,615):where()mul(596,918)how()[what()how()who()]@mul(594,699)$>$&why()mul(951,813)mul(948,41)]mul(699,225)>mul(840,275):@~^@%^select()mul(695,594)what()->-mul(409,636)@ {++mul(999,290)when(339,689),[+[+?mul(558,848)how(),what()&}]{mul(344,337)$)$]+,$,,why()do()::select()^:mul(796,16)mul(526,718) mul(66,417)#@>~do()why()from()/select()when():&mul(8,111);!where()do()}@mul(433,239)*}how() {^!do()#^mul(167,905)-&%(mul(979,711)when()]who()'?mul(523,172)[^what(844,455)'what()[/~@mul(928,776)where()]&/mul(587,380)who()/when()how()from(),}#}mul(97,952)select(837,505)~@>~%mul(486,198)^!mul(968,779)do()[mul(206,321);,where()where())how()}/mul(6,867)-&<!*select()mul(615,984)~?who()#<{how()?@mul(617,643){ @,'why()+>what()(mul(683,583)^(mul(244,555)^where()(how()what()?-[,who()mul(827,305);&,!$*?mul(793,452)^ )+(%-where()<mul(318,238)<$-what()mul(802,394)?how()<mul(488,879)do()$}<:&mul(429,358)~how()mul(36,174)mul(87,398)+%what()]mul(822,311)mul(379,261)~when()mul(618,193)@)!))-what()how(645,829)[mul(964,102);who()don't(),[what(),,?select()why()@mul(121,293)select()@who()!mul(770,96)+;%from(467,168)mul(616,890)@%:)[mul(943,145) [from()&where(283,130){*where()mul(649,49)select())mul(877,73)from()do()where()?where()>who()from()@who(){*mul(592,919)/:what():who()mul(213,139)what()$!?*how(934,24)$-who()(mul(661,7)?from(),}/who()mul(876,585)how()why():when()[@@mul(433,918)why()why(),*{who()when()who()mul(144,14/#(<mul(656,306)&what()&{*@%select(709,225)/mul(843,135)who()$[don't()<mul(576,966)^,?>don't()@(@{~why()[who()mul(394,492)where()/mul(508,797)-mul(150,832)+$@why()(why()~mul(527,236)<don't()!#{how()*!,!mul(177,945)'mul(5,181)#!#'&?what()&mul(10,492):%/'*mul(822,748){!*]who()when()<!<mul(21,920)+do()-who()from(505,694)where()from()$who()where()where()/mul(827,561)how()when()mul(770,221)%when()who()mul(872,151)mul(453,84)['&+:mul(258,293)@#,where()mul(264,689)mul(90[mul(94,665)-who()don't()what()>!:@!^&!mul(324>?!from()where())mul(731,184)#(}who()'mul(666,377)how()(;mul(346,141)^select()/@[$how()@]?mul(702,502,^where()<}[mul(872,308)+^!<@from() {:mul(537,974)%when()when()%mul(563,805)select()>how()>^';mul(643,555))where(290,606)who()?mul(656,803),?$/*?when()}@ mul(228,902)~/from(){where()what()>@~mul(849,93)~+select()?-^}<don't()mul(844,117)(when()~,}# /:+mul(24,282)@where()~from()($what()what()*<mul(886,107)[#;mul(725,121) %[>mul(115,425)${what()mul(219,305)how()])from()<mul(401,458)-from()+mul(92,705)
+}?/,(~+^mul(398,379)why()-!why(){}mul(618,341)how(818,559)'%}~+}'!<mul(128,74)*- &}+[mul(830,201)$when()mul(382,164) />select()~]~mul(41,659)<'{where():#+)$mul(447,137)where(120,771)$@why()#mul(457,857)<$from()$(who()@?mul(644,914)}mul(936,442);{*(why()mul(804,26);don't()why(),+*how() @:mul(668,778)%select() who() (,where()mul(66,974)^)when():$who()mul(832,615)#mul(572,646)where()how()what()when(673,330)where()when()&/mul(820,446)$why()where()mul(86,788)^~what()'mul(76,413)&'how()mul(616,424)what()select()}from()(/;mul(651,36)!{ mul[*mul(469,702)who()?;mul(331,879)?*from(54,751)who()#+[ mul(182,296)where(607,734){mul(920,190) :mul(660,732)^who()who()*'!mul(3,615)+{why(168,603)when(), mul(254,713); where()*from()~ !!#mul(897,311)]mul(629;what(280,32)>mul(194,563)^<how()when() }#<mul(27,237)?@where()mul(389,541)}'@when()}(*how()mul(671,516)do() ~select()!*']>&mulwho()when()'!what()why()?'}}!mul(414,213)$when()]+{why()mul(606,917)how()*?^,mul(292,543)>mul(326,145)*(&!;^:!#'mul;#@~where()<mul(81,169)mul(436,774)+when()%+where()-[}+mul(425,438)when()/}what()mul(76,978)>%;,from()select()mul(39,372)~[when()what()!+#who()]~mul(905,968from(843,581)(from()from()~what()how()when()mul(768,210)*mul(68,62)mul(777,345%{/select()%mul(458,251));what())how()where()how()when()mul(810,199)<~mul(252,749)don't()mul(915,327)(: mul(608,270)<%[!}-&mul(328,665)from()>*)how()mul(836,471)mul(270,799);(why();&~~mul(598,772)from()>mul(409,297)$mul(469,982)mul(457,665):@>{don't()why()<+,mul(293,172select(816,987)}why()mul(372,420)why()%mul(105,735),<]{mul?{$;>from()what()-$;mul(348,90)from()what()~mul(634,662)^do()$@]*)~,&mul(226,996)when()%]what()!@/&mul(322,135);who() &^select()*&}mul(967,104)from()}'who(701,7)~%[mul(687,163)@:<!how(){^/who()@mul(497,664))@!-(who()<mul(20,274)where(){%<where()?>+:mul(382,128)mul(831,450)mul(485,444)%^what()what()[$what()@}do()-%?'mul(204,152);$'/mul(63,376)mul(387,70)~@'{,':<mul(517,687)@ $^ )why()!mul(865,593)where(918,337)!;mul(786$$'$%why()select()[~$why()mul(667,335)~{+where()who()?from()mul(582,456)%,from()[from()how()mul(927,806)+(]?%mul(460,721)^^;^do(),how()when()select(435,369)}&mul(66[*how();>why()(%{how()<mul(997,260):'do()%::&what()}*who()mul(506,521)'who()%/!why()*&!don't()#@&mul(538,407)'^mul(84,106)'},#^where()%mul(105,225)-what()/how()/from()mul(49,421)@$)[)?why()'#}mul(707,127)@when() &(mul(732,645)'from()'*when()why()from()[who(850,51)?mul(566,427)how()>who()]',from()'how()why()mul(42,665)%'# [}mul(684,645){{%'mul(115,930)mul(552,181)mul(762,163)mul(202,193)+*[mul(525,337)+}-:](?^#mul(466,861)/do()'(;mul(860,319);mul(48,137){when() ~:< <mul(317,942)'~&#how()^mul(66,243)/(from()mul(678,119)when()!when()>from()mul(3,497)?when()< #?^@do()>;/?:mul(522,894)+{+mul(419,20)mul(139,677)where(119,273)*what()[^?mul(563,549)how()<@'%mul(560,434)what()where(),mul(886,302)mul(632,393)*what()!}{mul(769,651)'(mul(267,514)-[how()^:mul(64,902)when()mul(356,352# ;'mul(267,302)#(mul@;~+mul(471,643)!from())!what()from()~mul(429,997)/-mul(401,220)>{]what()what()@select()},mul(294,298)how()mul(230,3)/&what()]>]!how()/mul(888,907)](#>~}+#mul(17,816)/[+when()>from()]^:mul(94,85)
+#)'{mul(531,103){ {where()what()from()mul(127,712))what()<mul(595,154)~>!%from()'/how()*when(940,337)mul(259,916)+}!-}[mul(703,780++;select()?why()[{mul(221,199)+mul(303,268)$don't()'[what();^mul(542,561);who()&,mul(68,800)[<'{}why()?^from()mul(26,194)?]who():;mul(641,921)#&where()mul(539,571)select()]~%%]when())mul(833,642);mul(209,564)}<^)when()mul(648,430/(#)/?(';where()what()mul(818,526) ]!what()do() <;:mulfrom() @-<select()what(557,962)$%mul(83,808)from()% {)mul(894,523){~?@'&,how()>mul(764,627)#/mul(887,607), do()$(},#^}}from()how()mul(184,287)where()$^mul(859,310){who()how()mul(692,592){>?&mul(223,912)what()^@ {{^@/mul(736,965)$)]];-#@&mul(600,145)~/}*-}how()mul(893,646):where()}mul(205,416)what()from()mul(35,844)mul(94,245))/<#</$when()who(236,448)mul(943,490)^?*!mul(187,639)select()mul(105,840)#;-;((&,select()mul(495,135)don't()when()(&mul(129,293)}}{~from()]select()*+mul(724,202)mul(540,481)+when()$><from()?$#mul(604,366)where()why()^select()mul(82,14){]what()##/^mul(661$mul(576,422)!}*mul(968,267)mul(501,251)<[,mul(999-mul(61,600)how()~ how()#&mul(488,199)+})who()# @what()mul(695,154)!{[don't()mul(454,729)what():(<%mul(656,115)from()!]when()when():?,mul(536,421)}select()when()<mul(550,82)(:mul(482,346)}%when()>+mul(189,780)from()how()#< ^don't()why()&who()where(){ >:mul(638,986)*+< ;mul(131,393),how(419,400)*@how()mul(856,729)who()$$[$[select()~<mul(553,105)why(720,700)']mul(780,579)}what()select()who()~//}^mul(811,393))/<#,mul(530,118)@'%<~mul(640,727)'-]:-:]+mul(124,151)~@{why()@/why()mul(523,641)'%select())/mul(70,234)-$#mul(589,488)^:how()(when()mul(66,473)$/!-{from()%]#]mul(417,212)~>{(when()$mul(613,175)}mul(503,337)~)what() mul:!-*}?~who()<mul(709,759)}what()^where()when()!select(820,39)]::mul(884,175):#mul(852,584)>-mul(649,886)+how(738,973)when()[(mul(593,702)where()%%^(]who()mul(456,697)%~^'when()how()mul(789,446)mul(737,439)mul(830,910):>why()when()how()'?]why()>do()#'&why()'from()mul(972,441):mul(157,521)mul(43,224):$who()>select()how()mul(52,740)'mul(136,716)select()mul(613,433)]>$^when()why()where()how();mul(978,314))$mul(695,29)}mul(778,660){how()<+$?mul(402,606)select()+~$do()mul(262,94)how()why()))#'^$@mul}mul(201,86)*select()mul(876,626)why()mul(174,750)where()(from()(mul(433,335)]@mul(29,940) :~what()$}where()select()mul(416,920)^&%<~^mul(276,648)mul(636,17);why()}-}mul(810,73)<@} how():from(900,831)what()mul(241,497)select()when()'&{mul(603,108):[,mul(941,454) $@mul>@<}'[, $mul(510,523)where(), ~];mul(584,102)<when()mul(907,301)]#select()select();{how()select()what()?mul(980,625)select())where(){:^mul(544,917)((how()['who()mul(628,364)who(272,887)@!^@{+~{don't()when() )(from()what()when()-mul(95,412)(mul(127,442)/mul(658,920)from()from())!$<&*mul(45,446)what()where()&![-% (%mul(304};do()why(81,149)#^mul(181,603)where()^;{(! ^;mul(381,353)~@$mul(129,558)where()?from(): mul(573,183<how()*how()(#(mul(626,301))?]/)how()mul(20,851)[$when()*how()mul(42,787)[! )@;:(;mul(98,614)why()mul(692,723)!'>' do()why()<&select(812,485)!mul(538,458)who()why()^'select(){{why()mul(773,196)when()why(713,26){,!do()?why()!when(),?mul(234,541)mul(558]!(%;}'-mul(721,55)
+(<%@$?mul(856,705]>!#'++why() >#!/usr/bin/perlfrom()mul(147,188)<?$when()+$where()%mul(894,439)>where()what()mul(221,687)/)from()'[{mul(9,723)[{/?who()where()mul(113,227)> ~>$)mul(663,198)&[>#mul(567,600)]when()$@select())(%<&mul(472,423)#when()>(/]select()$;how(511,981)mul(785,371}-how():$where()(?~mul(731,455)mul(810,191);who()(@>,? !$mul(534,231&don't();]why();,#;where()[,mul(190,923) }when()mul <mul(909,876)[*~when()]mul(739,708)select()(@:~)/<@,mul(794,354)<mul(874,298)what()why()$+mul(669,535)&!^mul(260,4))mul(641,230)mul(516,429)'mul(141,983)!}when()select()where()+}[)do()&>:mul(525,573<{what() *$?from()from(){mul(885,340)why()>mul(398,414)?[where()<what()from()^mul(746,645)where(586,97)+'mul(523,150)/%()~how()where(580,13)@mul(446,624),'-mul(605,440),from()$/-where()mul(17,117) >$why()from())mul(988,667)mul(828,197)'why()/%*when()/*mul(799,415)where()]<~ ?>'-don't()^[(' ]%^~%mul(122,243)why();[how(951,959)how(435,882)~*-#don't()why()[what()what()'mul(218,944)!)&>'(where()+mul(686,595)#&when()mul(916,990))what()mul(414,411)>why()&select()!}why() ?>mul(820,386)select()mul(324,473)mul(690,413)!>$why()mul(23,907)who()%<who()))how()^mul(65,111)where()^$mul(793,643)&who() mul(481,441)+<mul(796,772)#^mul(827,58)]{where()*#>mul(579,551)where()when()how()?~&@-why()>mul(359,283)[don't() }mul(238,664)!]~^^#(why()mul(128,702)mul(750,811)what()',do()'@where()select()from(),/+&mul(640,613),&%+why()^from()from()*mul(314~${~*how()?what() mul(593,269)who()*mul(865,609)what()@~$+mul(784,462))],;;'what(){mul(902,580)when()<{~ ?>~how()mul(22,360)]mul(650,584)#select()!(why()/;+when()mul(173,450)where()mul(126,232)(?@/^how()why()who()mul(148,272)&?when()where()]mul(93,105)?!}!:@!mul(428,270)- where(179,717)>@!-,how()why()don't()!where()who()$:<mul(439,76)*,^mul~mul(69,32)!how()}**what()mul(496,817)when()*how()^+~how()from()mul{]&when()-:}why(540,134)>mul(472,276)<'&where()mul(334,580)'/-?+;(-mul(78,731)select()mul(584,89)*/>don't()/;''~how()?<mul(106,855)']mul(996,656){%:mul(873,777);how()(:#mulwhere(939,627)#^><mul(186,441)when()+?who()'$mul(297,888)how()%'?:-{&mul(291,979)}># how(261,707)$],mul(983,656)*> mul(340,628)]*][[/mul(193,206)(})~mul*/-#mul(976,903)%#why()$}-&mul(734,303)what()[from()*-/why()do()&why()!*]@from()&when()mul(339,902)from()([,[*^?how()mul(2,449)when()how()why()mul(799,379)-!#-mul(704,107)mul(205,807) :mul(787,710)mul(575,659)when(),];~'!mul(755,669){+&%$-<mul(533,448);#from()how()$what()-don't()from()] )mul(663,118)$from()$;who()do()#from()*?from()%mul(521,701/how()mul(357,734)who()from()+select()who()(*{%:mul(900,877)[{mul(276,197)!how()who()}$}?mul}$:why()who()who()mul(635,783)mul(276,497)[select()how()select()>,where()}# mul(555,644);^who()!}mul(341:@#{mul(135,278)where()how()what();where()mul(439,633),]$how()why()mul(708,508)where()%{why(744,659)mul(700--(why()*%/where()#<@don't()$?mul(39what(),#})$ select()how()~mul(847,132){)what(134,971)what(336,162))&/what()mul(470,625)#mul(275,789)where()<]mul(15,846)when()from()mul(21,575)%from()^<from()@-}from()*mul(437,525))+!~{select()don't()>when()when() ~(+select()what()mul(554,360)from()]~mul(785,136)}%#:?mul(117,254)who()do()% %;%-from(747,86)how()^/mul(313,607)why()mul(678,806),(mul(226,595)#%mul(415,823)']mul(873,709)#;select()'<> *mul(121,496)why()who()what()?where()mul(590,916)',/@what()how()?%mul(477,943)when()who()/';%mul(654,383)select()*why()'^select()]select()&mul(433,312);//~++what()&<?do()who()^&from()#how();[[#mul(512,521)%>![]mul(532,452)
+ +*<@;mul(470,836why()who()select()#when()select()where()from(812,299)</mul(987,617)when()&%;mul(85,662) select()select()*?>mul(469,324) select()why(){mul(891,321);'&$%@{mul(792,73)$$[who()>[[from():mul>why()?how()mul(522,233)([%select()mul(195,940)&mul(368,872)~}{who();!!>^^mul(920,394)^,select():?!%[mul(477,578): what()~!/select())who()/mul(976,739)>;who()who(43,925)&when()>>;+mul(857,247) mul(442,620){;mul(393,289)-!*mul(848,511)?how()}@mul(290,212))(~+#~:mul(150]*/>who()[>?:<mul(289,261)><]*[;+what()where()mul(307,698);;from()~%;where(84,170)[${mul(158,165):[what()^select()mul(977,383)'*@<! )mul(188,493)mul(566,212)&,who()]do()mul(644,488)how())+]~who()where()mul(113,502)mul(306,625),] ;/#&$;who()mul(418,801)#>>/;:mul(920,657)*how()when()mul(816,293)select()~$+^+mul(420,667);(^where());<from()[,do()'where()/!where()&?when()>mul(402,31)]mul(272,313)^>mul(161,164)@$<mulfrom()$when()<mul(718,501)+-who()mul(960,325);who()&{?mul(615,493)select(){]when())#{from(465,35)mul(905,145){[,&>$mul(260,136)&@}* > -mul(380,442)^#*!don't())?(;@mul(209/%(>,how()^mul(423,410)from()-mul(381,141)+~-)mul(674,158)^:what()>(^)who()mul*^,mul(74,315)!-),mul(341,503)where()/;*)why()),what()&mul(624,435)mul(880,482)}where():<select():^>]why()mul(367,134)when()(when()mul(166,251)@+,who(),mul(610,271)+>)(mul(455,461)>&@-()from()+]mul(232,944)&,@when()@]mul(523,215)mul(876,836) mul(335,254)<#-{from()^mul(153,522)what(52,828)who()where()from()from()@&>$mul,!&<don't()why(768,688)what(),);'mul(851,963)]&;(mul(45,859)[;select() ~%]when()!where()mul(807,272):#from()mul(943,224)?$mul(415,924)'from()?mul(204,131)}(>what()^>*{'mul(670,505)$mul&&/<don't()why()@#(*~/:>(mul(672,267)mul(540,120)<$[->!}mul(234,539)!%]who(){mul(30,143)*mul(545,761)where()'!how(935,4)who()%'{~mul(673,752why()what()^:mul(111,407)from()}mul(860,90)#who()/^!how()-!{!mul(217,327)what()!'where()mul(729,143)where()!how()#mul(362,874)$how()how()->who()~^mul(315,718)!'-@~mul(206,449):/[??#mul(185,796)]~mul(597,268);) >select()from()?)<*mul(516,734)when()what()select()#$select()-?,$mul(366,627)%*{mul(62,39)<what()mul(511,35)mul(879,156)-@]from()#select()mul(247,306;!mul(183,347)<mul(638,126)+>^/$from()+mul(250+~select()!from(){mul(981,151)#}mul(92,876))how()who(363,963)mul(827,341)::how()~&mul(407,705)#+>mul(576,849)mul(482,236)(^* who(),what()mul(544%who()('>*!$@,}mul(113,286)when()'from(685,677)do()%from(614,566)-select()$,-mul(234,452)}>[&who(){#from()&don't()why()select(645,338):why(840,833)+#mul(874,529)}>what()select()why()mul(168,89)}{*when()}do()when()*?$^;?)]mul(811,383)!mul(770,725):!*#[from()from()from(487,367);:mul(564,858)(mul(248,563)*:;'mul??mul(254,676)+where()from()?'[){ how()mul(250,339))'!')where()<?mul(410,838)(where()@mul(102,412)where()mul(173,786)-![mul(92,40)mul(888,277)'from()do()mul(390,731)@what()who()@%@who()&&?mul(930,981)>}from()why()-*!mul(740,619)~$when(370,81)where()%-#;^mul(291;^<-mul(266,422)@%select()/why() [mul(794,513)where()>{+mul(944,970)!why();mul(968,484)<from(),:>/what()who()mul(285,45)when()who()^when(),mul(728,164),#/[)mul(568,114)%@:select() /*!mul(763,536)?@mul(506,503))do()@)^/mul(763,386)/why()how()from(417,323)>what() where()mul(260,628)?:'+$why()+@&mul(697,677)+]when():mul(246,278)
+ $mul(48,81)mul(266,777)who())@*~!?)# mul(843,750}<what()+>mul(940,128)mul(477,389)who()}:when())<[when()mul(838,845)<when():;*mul(248,817)don't()+what();&/)?>~mul(464,153)why(166,536)</mul(893,554)when()what(){how()&how()mul(505,410)>{/&,~mul(282,701) -!?from();mul(101,631)from()<when()*&mul(187,146)[@+<?{[#{<mul(424,344);!?why()%}what()*>/mul(236,985)why(458,58)do()&*&>how()mul(310,399) :{}^]don't()->when()from()+ mul(389,902)why(301,687) select()}> who()mul(265,840)/mul(652,469)~where()what(){<>~mul(792,402);> $+@select(747,467)[mul(720,836)%what(984,399)[select()-+{}}mul(757,143)-)%from(),)+where()mul(810,426)<!*mul(596,769)$ from():]how()mul(67,919)why(485,244)]why(506,511)how()&,[{% mul(794,823)!/]-*<'where()mul(872~%how()$<}]}why()~how()mul(413,924)?+[>#who()^@mul,]-'(^^>mul(30,409),)from() mul(916,685what()how(){#/mul(494,862)<who()>-&mul(814,480)!&what()*mul(315,311)!when() @}*%#mul(571,122)~*mul(717,593))/mul(633,314)<^{[%{when()-<?mul(26,322)mul(792;(?:^mul(592,551)&from();%]who()<,$mul(276,734):mul(478,513)]when(637,697){mul& @+'[+mul(848,726)how(),from()-!&,<#do() !-mul(412,173)?''when()select()select();'when()mul(306,288)(!when()how(100,872)>,{mul(571,721):?,@~]select(){mul(275,614),select()/<mul(611,515)how(635,963)select()mul(741,23),select()why()^who(),%#}mul(144,95,why()why()~@^when(555,987)(mul(380,549)%:%&how()&mul(19,964)where(),*why()#%mul(194,612)}+^when()[mul(491,112))//what(){#-:mul(239,5){,?>{[@mul(965,299)what()?$where()(#,(?mul(642,519),+~*]mul(830,103)/]:mul(61,609)from()where()from()([mul(808,331)$mul(885,259)))}mul(902,561)$*:mul(320,613)[where()}mul(374,288)~mul(720,106)*~$mul(967,879),who()[what()}when()/#$-mul(81,187)mul(368,22);];<}- @{mul(882,60)#select()when()mul(144,567);what(),,#don't(){+from()'! mul(608,319)(mul(225,187)%%(<,@#+%select()mul(130,278)!select()}<when()where()mul(348,92):from()[mul(483,262)don't()*+&&}$mul(500,537)%(what()what()select()+^;do()where()]][/%select()*mul(118,729)+;[!why()$@mul(155,535)}from() ^*#select()how()'mul(685,187))*don't()what()(&/{mul(174,160)&+~:mul(100,237)<mul(234,939)mul(328,456)mul(427,653))where()why(162,868){,mul(58,176)'}why()from()&'why()?mul(449,899)-when()how()what()do()#,{,mul(529,302)?<]'*how()who()*~mul(382,944)mul(348,909),]/mul(595,427)-:mul(896,889);-)<mul(212,114)[}what()#how()mul(796,319)from()who()mul(161,245),mul(211,760)]*<+]where()mul(239,248)%mul(634,18)mul(501,317)why()#[who(542,47)what()*who()~,$do()}} where()*~[when(696,90)~when()mul(736,662)*%-$select()-$who()/mul(297,910) when()(when()>'@mul(353,117)]%'-^/?^mul(799,639)who()}-[>mul(495,249)where()*,<mul(79,846)how();mul(317,217)/mul(699,367)when()}mul(390,121),![,+]//,don't()@{what()(>)~mul(768,867)why()mul(305,695)don't()?]where() ?#@(who()mul(748,367)why()+[mul(643,18)})mul(343,964){'mul(287,548)?%do(),from();/?';select()mul(97,411)!!{?mul(105,759)how())how()@mul(663,882)~[mul(709,411)@;]what()when()mul(267,470)&mul(857,988)}/]^-select()]^:where()do()why()where()]-*mul(566,77)-<why()how();:~>#mul(217,308)what()~~(select()&mul(462,131)<+]%how()select()mul(242,763)'select()why()mul(316,185)[when()/ mul(584,440)from()

2024/d03/ex2/ex2.py

@@ -0,0 +1,42 @@
+#!/usr/bin/env python
+
+import dataclasses
+import re
+import sys
+
+
+@dataclasses.dataclass
+class MulInstruction:
+    lhs: int
+    rhs: int
+
+    def calc(self) -> int:
+        return self.lhs * self.rhs
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> list[MulInstruction]:
+        res: list[MulInstruction] = []
+
+        MUL_REGEX = re.compile(r"do\(\)|don't\(\)|mul\((\d+),(\d+)\)")
+        do = True
+        for match in MUL_REGEX.finditer(input):
+            if match.group(0) in ("do()", "don't()"):
+                do = match.group(0) == "do()"
+                continue
+            if not do:
+                continue
+            res.append(MulInstruction(int(match.group(1)), int(match.group(2))))
+
+        return res
+
+    return sum(inst.calc() for inst in parse(input))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d03/ex2/input

@@ -0,0 +1,6 @@
+}}+{where()mul(873,602) mul(954,447)^where()~mul(548,799)-<what()mul(588,631)^who()'@( [mul(143,388)how(445,327))$ select()who()mul(746,719)mul(963,262)}'*+why()<?&/select()don't()[%]% ^^mul(933,492)don't() ^-who()(%how()]mul(583,700))!,where()mul(999,507)](mul(821,504)^%/;:-mul(471,220)who()&'who(161,37)<'mul(843,213),<mul(298,802)-()@how()where()@+[:mul(910,85)'when()($select()%-*mul(532,213)*from()select()$,what()mul(956,380)mul(326,87)mul(243,775)!/:from()&^^mul(118,409)!)what()select()mul(610,89)mul(432,774)from()# from()<mul(400,864):+&mul(957,923)'don't()+select()why()mul(496,383),&why()(-;)+!#mul(79,135)~{mul(500,619),#what(361,47)@&;@+mul(580,98)<>#why():$from()(!mul(660,615):where()mul(596,918)how()[what()how()who()]@mul(594,699)$>$&why()mul(951,813)mul(948,41)]mul(699,225)>mul(840,275):@~^@%^select()mul(695,594)what()->-mul(409,636)@ {++mul(999,290)when(339,689),[+[+?mul(558,848)how(),what()&}]{mul(344,337)$)$]+,$,,why()do()::select()^:mul(796,16)mul(526,718) mul(66,417)#@>~do()why()from()/select()when():&mul(8,111);!where()do()}@mul(433,239)*}how() {^!do()#^mul(167,905)-&%(mul(979,711)when()]who()'?mul(523,172)[^what(844,455)'what()[/~@mul(928,776)where()]&/mul(587,380)who()/when()how()from(),}#}mul(97,952)select(837,505)~@>~%mul(486,198)^!mul(968,779)do()[mul(206,321);,where()where())how()}/mul(6,867)-&<!*select()mul(615,984)~?who()#<{how()?@mul(617,643){ @,'why()+>what()(mul(683,583)^(mul(244,555)^where()(how()what()?-[,who()mul(827,305);&,!$*?mul(793,452)^ )+(%-where()<mul(318,238)<$-what()mul(802,394)?how()<mul(488,879)do()$}<:&mul(429,358)~how()mul(36,174)mul(87,398)+%what()]mul(822,311)mul(379,261)~when()mul(618,193)@)!))-what()how(645,829)[mul(964,102);who()don't(),[what(),,?select()why()@mul(121,293)select()@who()!mul(770,96)+;%from(467,168)mul(616,890)@%:)[mul(943,145) [from()&where(283,130){*where()mul(649,49)select())mul(877,73)from()do()where()?where()>who()from()@who(){*mul(592,919)/:what():who()mul(213,139)what()$!?*how(934,24)$-who()(mul(661,7)?from(),}/who()mul(876,585)how()why():when()[@@mul(433,918)why()why(),*{who()when()who()mul(144,14/#(<mul(656,306)&what()&{*@%select(709,225)/mul(843,135)who()$[don't()<mul(576,966)^,?>don't()@(@{~why()[who()mul(394,492)where()/mul(508,797)-mul(150,832)+$@why()(why()~mul(527,236)<don't()!#{how()*!,!mul(177,945)'mul(5,181)#!#'&?what()&mul(10,492):%/'*mul(822,748){!*]who()when()<!<mul(21,920)+do()-who()from(505,694)where()from()$who()where()where()/mul(827,561)how()when()mul(770,221)%when()who()mul(872,151)mul(453,84)['&+:mul(258,293)@#,where()mul(264,689)mul(90[mul(94,665)-who()don't()what()>!:@!^&!mul(324>?!from()where())mul(731,184)#(}who()'mul(666,377)how()(;mul(346,141)^select()/@[$how()@]?mul(702,502,^where()<}[mul(872,308)+^!<@from() {:mul(537,974)%when()when()%mul(563,805)select()>how()>^';mul(643,555))where(290,606)who()?mul(656,803),?$/*?when()}@ mul(228,902)~/from(){where()what()>@~mul(849,93)~+select()?-^}<don't()mul(844,117)(when()~,}# /:+mul(24,282)@where()~from()($what()what()*<mul(886,107)[#;mul(725,121) %[>mul(115,425)${what()mul(219,305)how()])from()<mul(401,458)-from()+mul(92,705)
+}?/,(~+^mul(398,379)why()-!why(){}mul(618,341)how(818,559)'%}~+}'!<mul(128,74)*- &}+[mul(830,201)$when()mul(382,164) />select()~]~mul(41,659)<'{where():#+)$mul(447,137)where(120,771)$@why()#mul(457,857)<$from()$(who()@?mul(644,914)}mul(936,442);{*(why()mul(804,26);don't()why(),+*how() @:mul(668,778)%select() who() (,where()mul(66,974)^)when():$who()mul(832,615)#mul(572,646)where()how()what()when(673,330)where()when()&/mul(820,446)$why()where()mul(86,788)^~what()'mul(76,413)&'how()mul(616,424)what()select()}from()(/;mul(651,36)!{ mul[*mul(469,702)who()?;mul(331,879)?*from(54,751)who()#+[ mul(182,296)where(607,734){mul(920,190) :mul(660,732)^who()who()*'!mul(3,615)+{why(168,603)when(), mul(254,713); where()*from()~ !!#mul(897,311)]mul(629;what(280,32)>mul(194,563)^<how()when() }#<mul(27,237)?@where()mul(389,541)}'@when()}(*how()mul(671,516)do() ~select()!*']>&mulwho()when()'!what()why()?'}}!mul(414,213)$when()]+{why()mul(606,917)how()*?^,mul(292,543)>mul(326,145)*(&!;^:!#'mul;#@~where()<mul(81,169)mul(436,774)+when()%+where()-[}+mul(425,438)when()/}what()mul(76,978)>%;,from()select()mul(39,372)~[when()what()!+#who()]~mul(905,968from(843,581)(from()from()~what()how()when()mul(768,210)*mul(68,62)mul(777,345%{/select()%mul(458,251));what())how()where()how()when()mul(810,199)<~mul(252,749)don't()mul(915,327)(: mul(608,270)<%[!}-&mul(328,665)from()>*)how()mul(836,471)mul(270,799);(why();&~~mul(598,772)from()>mul(409,297)$mul(469,982)mul(457,665):@>{don't()why()<+,mul(293,172select(816,987)}why()mul(372,420)why()%mul(105,735),<]{mul?{$;>from()what()-$;mul(348,90)from()what()~mul(634,662)^do()$@]*)~,&mul(226,996)when()%]what()!@/&mul(322,135);who() &^select()*&}mul(967,104)from()}'who(701,7)~%[mul(687,163)@:<!how(){^/who()@mul(497,664))@!-(who()<mul(20,274)where(){%<where()?>+:mul(382,128)mul(831,450)mul(485,444)%^what()what()[$what()@}do()-%?'mul(204,152);$'/mul(63,376)mul(387,70)~@'{,':<mul(517,687)@ $^ )why()!mul(865,593)where(918,337)!;mul(786$$'$%why()select()[~$why()mul(667,335)~{+where()who()?from()mul(582,456)%,from()[from()how()mul(927,806)+(]?%mul(460,721)^^;^do(),how()when()select(435,369)}&mul(66[*how();>why()(%{how()<mul(997,260):'do()%::&what()}*who()mul(506,521)'who()%/!why()*&!don't()#@&mul(538,407)'^mul(84,106)'},#^where()%mul(105,225)-what()/how()/from()mul(49,421)@$)[)?why()'#}mul(707,127)@when() &(mul(732,645)'from()'*when()why()from()[who(850,51)?mul(566,427)how()>who()]',from()'how()why()mul(42,665)%'# [}mul(684,645){{%'mul(115,930)mul(552,181)mul(762,163)mul(202,193)+*[mul(525,337)+}-:](?^#mul(466,861)/do()'(;mul(860,319);mul(48,137){when() ~:< <mul(317,942)'~&#how()^mul(66,243)/(from()mul(678,119)when()!when()>from()mul(3,497)?when()< #?^@do()>;/?:mul(522,894)+{+mul(419,20)mul(139,677)where(119,273)*what()[^?mul(563,549)how()<@'%mul(560,434)what()where(),mul(886,302)mul(632,393)*what()!}{mul(769,651)'(mul(267,514)-[how()^:mul(64,902)when()mul(356,352# ;'mul(267,302)#(mul@;~+mul(471,643)!from())!what()from()~mul(429,997)/-mul(401,220)>{]what()what()@select()},mul(294,298)how()mul(230,3)/&what()]>]!how()/mul(888,907)](#>~}+#mul(17,816)/[+when()>from()]^:mul(94,85)
+#)'{mul(531,103){ {where()what()from()mul(127,712))what()<mul(595,154)~>!%from()'/how()*when(940,337)mul(259,916)+}!-}[mul(703,780++;select()?why()[{mul(221,199)+mul(303,268)$don't()'[what();^mul(542,561);who()&,mul(68,800)[<'{}why()?^from()mul(26,194)?]who():;mul(641,921)#&where()mul(539,571)select()]~%%]when())mul(833,642);mul(209,564)}<^)when()mul(648,430/(#)/?(';where()what()mul(818,526) ]!what()do() <;:mulfrom() @-<select()what(557,962)$%mul(83,808)from()% {)mul(894,523){~?@'&,how()>mul(764,627)#/mul(887,607), do()$(},#^}}from()how()mul(184,287)where()$^mul(859,310){who()how()mul(692,592){>?&mul(223,912)what()^@ {{^@/mul(736,965)$)]];-#@&mul(600,145)~/}*-}how()mul(893,646):where()}mul(205,416)what()from()mul(35,844)mul(94,245))/<#</$when()who(236,448)mul(943,490)^?*!mul(187,639)select()mul(105,840)#;-;((&,select()mul(495,135)don't()when()(&mul(129,293)}}{~from()]select()*+mul(724,202)mul(540,481)+when()$><from()?$#mul(604,366)where()why()^select()mul(82,14){]what()##/^mul(661$mul(576,422)!}*mul(968,267)mul(501,251)<[,mul(999-mul(61,600)how()~ how()#&mul(488,199)+})who()# @what()mul(695,154)!{[don't()mul(454,729)what():(<%mul(656,115)from()!]when()when():?,mul(536,421)}select()when()<mul(550,82)(:mul(482,346)}%when()>+mul(189,780)from()how()#< ^don't()why()&who()where(){ >:mul(638,986)*+< ;mul(131,393),how(419,400)*@how()mul(856,729)who()$$[$[select()~<mul(553,105)why(720,700)']mul(780,579)}what()select()who()~//}^mul(811,393))/<#,mul(530,118)@'%<~mul(640,727)'-]:-:]+mul(124,151)~@{why()@/why()mul(523,641)'%select())/mul(70,234)-$#mul(589,488)^:how()(when()mul(66,473)$/!-{from()%]#]mul(417,212)~>{(when()$mul(613,175)}mul(503,337)~)what() mul:!-*}?~who()<mul(709,759)}what()^where()when()!select(820,39)]::mul(884,175):#mul(852,584)>-mul(649,886)+how(738,973)when()[(mul(593,702)where()%%^(]who()mul(456,697)%~^'when()how()mul(789,446)mul(737,439)mul(830,910):>why()when()how()'?]why()>do()#'&why()'from()mul(972,441):mul(157,521)mul(43,224):$who()>select()how()mul(52,740)'mul(136,716)select()mul(613,433)]>$^when()why()where()how();mul(978,314))$mul(695,29)}mul(778,660){how()<+$?mul(402,606)select()+~$do()mul(262,94)how()why()))#'^$@mul}mul(201,86)*select()mul(876,626)why()mul(174,750)where()(from()(mul(433,335)]@mul(29,940) :~what()$}where()select()mul(416,920)^&%<~^mul(276,648)mul(636,17);why()}-}mul(810,73)<@} how():from(900,831)what()mul(241,497)select()when()'&{mul(603,108):[,mul(941,454) $@mul>@<}'[, $mul(510,523)where(), ~];mul(584,102)<when()mul(907,301)]#select()select();{how()select()what()?mul(980,625)select())where(){:^mul(544,917)((how()['who()mul(628,364)who(272,887)@!^@{+~{don't()when() )(from()what()when()-mul(95,412)(mul(127,442)/mul(658,920)from()from())!$<&*mul(45,446)what()where()&![-% (%mul(304};do()why(81,149)#^mul(181,603)where()^;{(! ^;mul(381,353)~@$mul(129,558)where()?from(): mul(573,183<how()*how()(#(mul(626,301))?]/)how()mul(20,851)[$when()*how()mul(42,787)[! )@;:(;mul(98,614)why()mul(692,723)!'>' do()why()<&select(812,485)!mul(538,458)who()why()^'select(){{why()mul(773,196)when()why(713,26){,!do()?why()!when(),?mul(234,541)mul(558]!(%;}'-mul(721,55)
+(<%@$?mul(856,705]>!#'++why() >#!/usr/bin/perlfrom()mul(147,188)<?$when()+$where()%mul(894,439)>where()what()mul(221,687)/)from()'[{mul(9,723)[{/?who()where()mul(113,227)> ~>$)mul(663,198)&[>#mul(567,600)]when()$@select())(%<&mul(472,423)#when()>(/]select()$;how(511,981)mul(785,371}-how():$where()(?~mul(731,455)mul(810,191);who()(@>,? !$mul(534,231&don't();]why();,#;where()[,mul(190,923) }when()mul <mul(909,876)[*~when()]mul(739,708)select()(@:~)/<@,mul(794,354)<mul(874,298)what()why()$+mul(669,535)&!^mul(260,4))mul(641,230)mul(516,429)'mul(141,983)!}when()select()where()+}[)do()&>:mul(525,573<{what() *$?from()from(){mul(885,340)why()>mul(398,414)?[where()<what()from()^mul(746,645)where(586,97)+'mul(523,150)/%()~how()where(580,13)@mul(446,624),'-mul(605,440),from()$/-where()mul(17,117) >$why()from())mul(988,667)mul(828,197)'why()/%*when()/*mul(799,415)where()]<~ ?>'-don't()^[(' ]%^~%mul(122,243)why();[how(951,959)how(435,882)~*-#don't()why()[what()what()'mul(218,944)!)&>'(where()+mul(686,595)#&when()mul(916,990))what()mul(414,411)>why()&select()!}why() ?>mul(820,386)select()mul(324,473)mul(690,413)!>$why()mul(23,907)who()%<who()))how()^mul(65,111)where()^$mul(793,643)&who() mul(481,441)+<mul(796,772)#^mul(827,58)]{where()*#>mul(579,551)where()when()how()?~&@-why()>mul(359,283)[don't() }mul(238,664)!]~^^#(why()mul(128,702)mul(750,811)what()',do()'@where()select()from(),/+&mul(640,613),&%+why()^from()from()*mul(314~${~*how()?what() mul(593,269)who()*mul(865,609)what()@~$+mul(784,462))],;;'what(){mul(902,580)when()<{~ ?>~how()mul(22,360)]mul(650,584)#select()!(why()/;+when()mul(173,450)where()mul(126,232)(?@/^how()why()who()mul(148,272)&?when()where()]mul(93,105)?!}!:@!mul(428,270)- where(179,717)>@!-,how()why()don't()!where()who()$:<mul(439,76)*,^mul~mul(69,32)!how()}**what()mul(496,817)when()*how()^+~how()from()mul{]&when()-:}why(540,134)>mul(472,276)<'&where()mul(334,580)'/-?+;(-mul(78,731)select()mul(584,89)*/>don't()/;''~how()?<mul(106,855)']mul(996,656){%:mul(873,777);how()(:#mulwhere(939,627)#^><mul(186,441)when()+?who()'$mul(297,888)how()%'?:-{&mul(291,979)}># how(261,707)$],mul(983,656)*> mul(340,628)]*][[/mul(193,206)(})~mul*/-#mul(976,903)%#why()$}-&mul(734,303)what()[from()*-/why()do()&why()!*]@from()&when()mul(339,902)from()([,[*^?how()mul(2,449)when()how()why()mul(799,379)-!#-mul(704,107)mul(205,807) :mul(787,710)mul(575,659)when(),];~'!mul(755,669){+&%$-<mul(533,448);#from()how()$what()-don't()from()] )mul(663,118)$from()$;who()do()#from()*?from()%mul(521,701/how()mul(357,734)who()from()+select()who()(*{%:mul(900,877)[{mul(276,197)!how()who()}$}?mul}$:why()who()who()mul(635,783)mul(276,497)[select()how()select()>,where()}# mul(555,644);^who()!}mul(341:@#{mul(135,278)where()how()what();where()mul(439,633),]$how()why()mul(708,508)where()%{why(744,659)mul(700--(why()*%/where()#<@don't()$?mul(39what(),#})$ select()how()~mul(847,132){)what(134,971)what(336,162))&/what()mul(470,625)#mul(275,789)where()<]mul(15,846)when()from()mul(21,575)%from()^<from()@-}from()*mul(437,525))+!~{select()don't()>when()when() ~(+select()what()mul(554,360)from()]~mul(785,136)}%#:?mul(117,254)who()do()% %;%-from(747,86)how()^/mul(313,607)why()mul(678,806),(mul(226,595)#%mul(415,823)']mul(873,709)#;select()'<> *mul(121,496)why()who()what()?where()mul(590,916)',/@what()how()?%mul(477,943)when()who()/';%mul(654,383)select()*why()'^select()]select()&mul(433,312);//~++what()&<?do()who()^&from()#how();[[#mul(512,521)%>![]mul(532,452)
+ +*<@;mul(470,836why()who()select()#when()select()where()from(812,299)</mul(987,617)when()&%;mul(85,662) select()select()*?>mul(469,324) select()why(){mul(891,321);'&$%@{mul(792,73)$$[who()>[[from():mul>why()?how()mul(522,233)([%select()mul(195,940)&mul(368,872)~}{who();!!>^^mul(920,394)^,select():?!%[mul(477,578): what()~!/select())who()/mul(976,739)>;who()who(43,925)&when()>>;+mul(857,247) mul(442,620){;mul(393,289)-!*mul(848,511)?how()}@mul(290,212))(~+#~:mul(150]*/>who()[>?:<mul(289,261)><]*[;+what()where()mul(307,698);;from()~%;where(84,170)[${mul(158,165):[what()^select()mul(977,383)'*@<! )mul(188,493)mul(566,212)&,who()]do()mul(644,488)how())+]~who()where()mul(113,502)mul(306,625),] ;/#&$;who()mul(418,801)#>>/;:mul(920,657)*how()when()mul(816,293)select()~$+^+mul(420,667);(^where());<from()[,do()'where()/!where()&?when()>mul(402,31)]mul(272,313)^>mul(161,164)@$<mulfrom()$when()<mul(718,501)+-who()mul(960,325);who()&{?mul(615,493)select(){]when())#{from(465,35)mul(905,145){[,&>$mul(260,136)&@}* > -mul(380,442)^#*!don't())?(;@mul(209/%(>,how()^mul(423,410)from()-mul(381,141)+~-)mul(674,158)^:what()>(^)who()mul*^,mul(74,315)!-),mul(341,503)where()/;*)why()),what()&mul(624,435)mul(880,482)}where():<select():^>]why()mul(367,134)when()(when()mul(166,251)@+,who(),mul(610,271)+>)(mul(455,461)>&@-()from()+]mul(232,944)&,@when()@]mul(523,215)mul(876,836) mul(335,254)<#-{from()^mul(153,522)what(52,828)who()where()from()from()@&>$mul,!&<don't()why(768,688)what(),);'mul(851,963)]&;(mul(45,859)[;select() ~%]when()!where()mul(807,272):#from()mul(943,224)?$mul(415,924)'from()?mul(204,131)}(>what()^>*{'mul(670,505)$mul&&/<don't()why()@#(*~/:>(mul(672,267)mul(540,120)<$[->!}mul(234,539)!%]who(){mul(30,143)*mul(545,761)where()'!how(935,4)who()%'{~mul(673,752why()what()^:mul(111,407)from()}mul(860,90)#who()/^!how()-!{!mul(217,327)what()!'where()mul(729,143)where()!how()#mul(362,874)$how()how()->who()~^mul(315,718)!'-@~mul(206,449):/[??#mul(185,796)]~mul(597,268);) >select()from()?)<*mul(516,734)when()what()select()#$select()-?,$mul(366,627)%*{mul(62,39)<what()mul(511,35)mul(879,156)-@]from()#select()mul(247,306;!mul(183,347)<mul(638,126)+>^/$from()+mul(250+~select()!from(){mul(981,151)#}mul(92,876))how()who(363,963)mul(827,341)::how()~&mul(407,705)#+>mul(576,849)mul(482,236)(^* who(),what()mul(544%who()('>*!$@,}mul(113,286)when()'from(685,677)do()%from(614,566)-select()$,-mul(234,452)}>[&who(){#from()&don't()why()select(645,338):why(840,833)+#mul(874,529)}>what()select()why()mul(168,89)}{*when()}do()when()*?$^;?)]mul(811,383)!mul(770,725):!*#[from()from()from(487,367);:mul(564,858)(mul(248,563)*:;'mul??mul(254,676)+where()from()?'[){ how()mul(250,339))'!')where()<?mul(410,838)(where()@mul(102,412)where()mul(173,786)-![mul(92,40)mul(888,277)'from()do()mul(390,731)@what()who()@%@who()&&?mul(930,981)>}from()why()-*!mul(740,619)~$when(370,81)where()%-#;^mul(291;^<-mul(266,422)@%select()/why() [mul(794,513)where()>{+mul(944,970)!why();mul(968,484)<from(),:>/what()who()mul(285,45)when()who()^when(),mul(728,164),#/[)mul(568,114)%@:select() /*!mul(763,536)?@mul(506,503))do()@)^/mul(763,386)/why()how()from(417,323)>what() where()mul(260,628)?:'+$why()+@&mul(697,677)+]when():mul(246,278)
+ $mul(48,81)mul(266,777)who())@*~!?)# mul(843,750}<what()+>mul(940,128)mul(477,389)who()}:when())<[when()mul(838,845)<when():;*mul(248,817)don't()+what();&/)?>~mul(464,153)why(166,536)</mul(893,554)when()what(){how()&how()mul(505,410)>{/&,~mul(282,701) -!?from();mul(101,631)from()<when()*&mul(187,146)[@+<?{[#{<mul(424,344);!?why()%}what()*>/mul(236,985)why(458,58)do()&*&>how()mul(310,399) :{}^]don't()->when()from()+ mul(389,902)why(301,687) select()}> who()mul(265,840)/mul(652,469)~where()what(){<>~mul(792,402);> $+@select(747,467)[mul(720,836)%what(984,399)[select()-+{}}mul(757,143)-)%from(),)+where()mul(810,426)<!*mul(596,769)$ from():]how()mul(67,919)why(485,244)]why(506,511)how()&,[{% mul(794,823)!/]-*<'where()mul(872~%how()$<}]}why()~how()mul(413,924)?+[>#who()^@mul,]-'(^^>mul(30,409),)from() mul(916,685what()how(){#/mul(494,862)<who()>-&mul(814,480)!&what()*mul(315,311)!when() @}*%#mul(571,122)~*mul(717,593))/mul(633,314)<^{[%{when()-<?mul(26,322)mul(792;(?:^mul(592,551)&from();%]who()<,$mul(276,734):mul(478,513)]when(637,697){mul& @+'[+mul(848,726)how(),from()-!&,<#do() !-mul(412,173)?''when()select()select();'when()mul(306,288)(!when()how(100,872)>,{mul(571,721):?,@~]select(){mul(275,614),select()/<mul(611,515)how(635,963)select()mul(741,23),select()why()^who(),%#}mul(144,95,why()why()~@^when(555,987)(mul(380,549)%:%&how()&mul(19,964)where(),*why()#%mul(194,612)}+^when()[mul(491,112))//what(){#-:mul(239,5){,?>{[@mul(965,299)what()?$where()(#,(?mul(642,519),+~*]mul(830,103)/]:mul(61,609)from()where()from()([mul(808,331)$mul(885,259)))}mul(902,561)$*:mul(320,613)[where()}mul(374,288)~mul(720,106)*~$mul(967,879),who()[what()}when()/#$-mul(81,187)mul(368,22);];<}- @{mul(882,60)#select()when()mul(144,567);what(),,#don't(){+from()'! mul(608,319)(mul(225,187)%%(<,@#+%select()mul(130,278)!select()}<when()where()mul(348,92):from()[mul(483,262)don't()*+&&}$mul(500,537)%(what()what()select()+^;do()where()]][/%select()*mul(118,729)+;[!why()$@mul(155,535)}from() ^*#select()how()'mul(685,187))*don't()what()(&/{mul(174,160)&+~:mul(100,237)<mul(234,939)mul(328,456)mul(427,653))where()why(162,868){,mul(58,176)'}why()from()&'why()?mul(449,899)-when()how()what()do()#,{,mul(529,302)?<]'*how()who()*~mul(382,944)mul(348,909),]/mul(595,427)-:mul(896,889);-)<mul(212,114)[}what()#how()mul(796,319)from()who()mul(161,245),mul(211,760)]*<+]where()mul(239,248)%mul(634,18)mul(501,317)why()#[who(542,47)what()*who()~,$do()}} where()*~[when(696,90)~when()mul(736,662)*%-$select()-$who()/mul(297,910) when()(when()>'@mul(353,117)]%'-^/?^mul(799,639)who()}-[>mul(495,249)where()*,<mul(79,846)how();mul(317,217)/mul(699,367)when()}mul(390,121),![,+]//,don't()@{what()(>)~mul(768,867)why()mul(305,695)don't()?]where() ?#@(who()mul(748,367)why()+[mul(643,18)})mul(343,964){'mul(287,548)?%do(),from();/?';select()mul(97,411)!!{?mul(105,759)how())how()@mul(663,882)~[mul(709,411)@;]what()when()mul(267,470)&mul(857,988)}/]^-select()]^:where()do()why()where()]-*mul(566,77)-<why()how();:~>#mul(217,308)what()~~(select()&mul(462,131)<+]%how()select()mul(242,763)'select()why()mul(316,185)[when()/ mul(584,440)from()

2024/d04/ex1/ex1.py

@@ -0,0 +1,43 @@
+#!/usr/bin/env python
+
+import itertools
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> dict[Point, str]:
+        return {
+            Point(x, y): c for x, line in enumerate(input) for y, c in enumerate(line)
+        }
+
+    def count_xmas(grid: dict[Point, str], dims: Point) -> int:
+        max_x, max_y = dims
+        count = 0
+        for x, y in itertools.product(range(max_x), range(max_y)):
+            for dx, dy in itertools.product(range(-1, 1 + 1), repeat=2):
+                if dx == 0 and dy == 0:
+                    continue
+                count += all(
+                    grid.get(Point(x + dx * i, y + dy * i)) == c
+                    for i, c in enumerate("XMAS")
+                )
+        return count
+
+    lines = input.splitlines()
+    grid = parse(lines)
+    return count_xmas(grid, Point(len(lines), len(lines[0])))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d04/ex1/input

@@ -0,0 +1,140 @@
+SASASMSSSMSMSMSMSSMSAMXMAMAMXSXXXMAMMXSAMXMXMXSMMMXXXSXXAXSMMMAMXAXSMSSXXMSASASMXSSMSMSXMMMAMMMXXSAMXSSMXAXSASMMMXMASAXSXMXMAMXAMXXMAXXAMAMX
+AASAXAAAAXXASASMXSAXAMXXSMSSMSAXSMSMMASAMAAXMAMAAAMMMMMSMXSAMXSSMSMXMAXMASXAXAMXAAXMAMXAMASAMAAMXMASAMAAMSMSASASMMMMAMSXSMASMMSMSMMASMMMSAMA
+MXMXMMMSMMMMMAMXAMXMSSSMAXAAXMAMAAAXMASASMSXMASMMXSAAAAAMAXAMAXAAXAAMXMAMXMSMSMMXMASMSMXSASAXXXSASXMASXMMXAMMMAMMAXMXMMAXXAMAAAAAAMAMAAXSAMA
+XSMSAXMAMAAXMAMMSSXSAAXSMMXXMASMMSMSMXSMMAMMSMAAXASMSMSSSMSSMMSMMMSSSSSSSMAMAAXMXXXAAAAAMMSAMSMSASMSXMASAXSAMMSMSMMMAAMAMMSSMSMSSSMAMMSMSAMX
+XMAMAMSASMSSSMSAXAMXMSMAXAMMMXXXXMMXMAMAMXMXAXMMMMSAMAAXAXAXMXMAMXMXAAMAAMAMXMMXMMMMMMMMSAMAMMAMAMAMASXMXMXXSAXMAAASXSMXSAAAXXAXAXXSSMMASAMM
+XMAMAMXAMXXXMAMXMMAXAAXMXSAASAMXSMASMASAMXSXMSXSXAMAMMMSSMMSXXMASAMMMMMXXMASMMMSMMASAMASMASXMMAMASXMAMXMAMSXMXSSSSMAMAXAMMSMMSMMAMXMAAMXMMMA
+MSASXSMSMXSAMXMMMMSMXMMMAMXMMASXXAXXMAMASASAAXAMMSSMMMXAXMAMMMXASMSASXMSSSXSAAAMAAASASXSAMSAASXXXSASMMMXAXAMMXMXMAMXSMMXXAXMAMXMXMASXMMSMASX
+MSXMASXAAXSAMXMAXXXAMMMMASMSSMMXMXMSMSSMMASMMMAMAMAASMMMMMASMSMMSXAXSAMAAAASXMMSSMXSAMMSMMSMMMSMSMXMAASXXMAXMAXMMXMMAXXXMASMXMAMASMSASAXMAMX
+MXMXSMSMSMSXMSXSXMAMAAAMXSXAAMSMAAAXXAAMXAXAXXXMXSMMXXASMSMSAMAXSMSMSAMMSMASXMXAAMAMASAXAAXAMAMMAMSMSMMAMSSMSXSASMMSXSXMMASMMSASASAXXMASMXSM
+SAXMAMAXAASAMXMMASAXSMXSAMMSSMSASMSMMSSMMXSXMSAMXSAMSSMMAAAMASMMMAAMMAMXXAASXMMMMMMSAMMMMMSXMAMSAXMAAXMAMXAAASMMMXAXMMAMAXMAMMMMXSXSSMMMXAAA
+SAMSMSMSMSMMAAMMAMAXMASMMSAMXAXXXAAMMAMXMMSMAXMMASAMASXAMMMMAAMXMSMXSAMXXMMSMXAAASXMASXXSASMSSMSXSMMMXXAMMMMMAXAMSMMASAMXSMSMXAMASAAMAAAXSMM
+XAMMXSAAMXMASXSMXSSXMMMAMMASMMMSMSMSAMSASXSASMXMASXMASMSSMXMXSAMXXXMSXXMAAAXAMMSMSAXSMMAMASXAXMSXAAXAASMSMXAXMSAMMASXSXMAMAMXMASASMMSSMSAMXS
+XAMXASXMSSXAXAXMAXMAAXMMMSXMAMASMAAXAXSASAMSMAXMASAMASAAAAXMAMXASMSMSMASMMSSSSMMASAMMAMXMMMMSSMMMXMMMXSAAASXSXSAXSAMAMMSSMMMAMMAMXAXAXMMAMAM
+MSAMXXAXAMMSSMMSXXXAMXXXXXXSAMSSMXMSMMMXMMMASXXMMMXMASMMXMXMASXSXAXAXSMXAAXAAAXMAMMMXAMXSXMSAAAAMASXMMMMMMSAAAXXMMMSAXXAAAXMXXSAMSXMASMSXMAM
+XXAXXSMMMSMAAAAMMSMAXXMMAMXSASMXMAMAASMMSASAMMMMSXXMASXSSMSMASXMMSMMMSXSMMMMSMMMXMAMSMMAXAXMASMMXAXAXMAMXMMXMMSMASAXASMSSMMMAASAMSXMAAXXMSAS
+SSMMMSAAXAMSSMMSAXXAMXMSSSMSXMAMMSSSSMAMSAMMMSAAAMAMXSMXXAAAAXMXAMASASAMXAAXAXXXSAMXAAMXSXMSMMMXMSSXXMASMAAXXXAAMMMSAAAXAXAMAXMAMMAMMSAMXXAA
+XAXMASMMSMXMAAXMASMMMXXXAAAXSMMMAMAMXMAMMAMAASXSMXMASXMXMSMSXSMSSSMMAXSMMSSXMSMXXMASXSMAXMXMASXSSMAMASASXMMMXSASMAXAXMSXSSMSMMMMMSXMAMMASMMM
+SMMMASMAXXXMASMMXMASXMXMSMMMMSAMXSAMSSXMSSMMXSAAXASXMAXXAAXAXMAAAAXMMMXSAAXASXAMMXMMMAMSSMMSAMXMASMAXMASXSXAAAAAMXMMXXXMASAAXAXAAXSMASMAMAAM
+MMMSAMMXSXMSXMASASXMAXSAMAMAAMXSXXAMMMSMAMXXSMMMSXSAMXMMSMSMMMSMMMMSMAMMMXSXMAMAMXAAMAMXMAAMAMXAAMXXMASXMSXMMMMMSMMXSAMMAMXSSSSMMMAMAXMASMMM
+MAAXAXXXAMXMASMMAXAMAMMAMMSMXSAMXSSMSAAMAMSXMAAXXASMMAXAAXAXXXAAXSMMMASXMXSASAMSMSSSXSSMSMMMSMSMSXXXSXMXAXMMASXXXAXXXAXMXSXMAAAASMMMAMSASASA
+MMSSSMSMSMAMXMMMSMSMSXMMMXAAAAAXAAMAMSXMASXAXSMSMMMASXMSSSSSSSMSMMAASXSMSMSASXSXAMAMXMAMMAMXXAXAAXSMAAMMXMMSASXMSSMSSMMMASAMMMMASAXSSXMASAMM
+SAMMAMAAASMSMSAAAMMAXMSAMMMSMMMMMSMAMAMSMMXSMAAXAMSXMAAMAAAAAMSXAXSMMXMASAMAMMXMXMAMMXAMSAMSMAMXMAMAMAMSSMMMSSXAAAAMAMAMASXMASXASXMAXAMAMAMX
+MASXAMMMMXXAMXMMXSMAMASASXXMMSSXMAXAMXXAXSAMSSMSSMXXAMMMMMMMMXSMXXAAXXXSXMMAMAXSXXXMASMMMMXAAXXSMMMSSMXXAAXMASMMXXMXAMAMASXMASMASAMMSXMMXMMX
+XAMMXSAXXXSMSSMSMSXAMMSAMXAAAXMASMSXMXSSSMAXAXMAMMMMAMAXXXXSMAXAMSSMMMXMAXSXMSAMXSSMXSAAAMMMXSMMMAAMAAXXMMMXMXXMASMSXSMSAMXMAXAMMXMXMXMAAMSS
+SSMMXMASMAXSAMAMAMSXSXMAMSXMXMMAMAAASAMXAAXMASXMXAAAASMSMSAAMAMSMAAAXMAMXMXAAAAXXAXMASMSXSAMMAAASMSSSMMMSSSXMMMMXXAAAMAMAMXMASXXMAAASAMMXSAM
+XAASXSAAMAMMXMAMAMXMXMMXMSXSASMMSMSMMAASMMMMXSMMSSSSMSASAMSMXAMAMMSMSSXXAAMMMSMMMMAMXXXAASASXSMMSAXAXXAXAAMXXAAAXMSAMXAXAMMMXSMASMSMSASASMMM
+MSMMAMSSMSSSMMXSXSSMAMXSXXAMAXAXAXAASAMXMAMXAXAAAMAAAMAMXMXMMMXAXMAAAAMSXXAMAMAXXXMMMMMXMMMMMAMAMXMAMSSMMSMSSSSSXAAXSXXSASAMAMMMMAAASMMMXASX
+AXAMXMAMMXMAAXXAXSAMMSASMMSMMMSMMMMASMMASAMSAMMMSSXMMMXMXSXSAMSMSXMSMXMASXXMASXMAXSAAXMSXMXXSAMASXMAMAAMMAAAAAXXASXSMAMSAMMSAXAXMSMMXMASXMMX
+SSXMAMSSMASMSMAMXSXSAMXSAAAXAAAAXXXXMAXAMAMMAMSSXMASAMXMASASMXAAXMAMXXSAMXMSMSMSMASMSSMMAAAXMXMXSXSASMMMSMMMSMMXXMMAXSMMAMAMMXSXXXMSASASMAMA
+AMXMXMXAXASAMMSXMSAMMMAMXSMSMSSSMSSXSAMSSSMMXMXAAAASASXMASAMXSMSMASMSMMMSXMAAMAAMAXMMAASMMMSSXSASMXAXAXAXXXAAAXMASMMXMAASMSXSAXSMAASXMAXMAMX
+MMAMAMXMMMXAXAMAAMXXAMAMAXXAAMXAASAAMXSAAASAMXMSMMASAXASAMAMXAAXMSMAXXAAAASMSMSMSMXXSMMMMXAAASMAMAXSSMMMSMMSSSMSAMXSASAMXAMAMMSASXMXXSXMSSSM
+XSASASMXXSSMMSXSXXAMMSMSMASMSSSMMMMMMMMASAMMSAAXXXAMXMAMASMMXMXMXAMMMMMMXXMAAAAAAASMSAMMMSMMSMMXMSXMAMAMXAMXAXAMXSAMXSMSMAMMMMSMMSSXMSAXSXAX
+ASMSASAMXXAAAMXXXMMAXAAAXAMXAAAAMXAXXAXMMASASASMXMASAMASXMAMXXAASMMAAXASXSMXMXMXMMXASMMAAAAXXXMAXMMSAMXXXAMMXMSMMMMSAMXXMAMXXXMAAAXAASXMMSXM
+XSAMXMAXSSSMMSAMXSASXMSMMXSMMXXMASMSMMSXSXMAXAMAXMASASASMMMSSMAXAASXXSASASXMSASXSMMAMMSMSSSMSASMXXAXAMAMSSMMMMXASMSAMXAXXMASXMSMMSMMMMAXMXSA
+MXASMSMXXAXAXMXMASMMXAAMMMMMSMAXAAMXMMSAMMMSMMMXMMXSXMAXXXAAASMMMMMAAMAMAMAXSASASMSAMXAXXXXASXMSAMSSMMMXAAXMAMXAMMXMASXSXAAXAAAXAAXMASMMMMAS
+SMMMMAMSMXMXMXMMXSXXMSMSAMAAAMSMSMMAXMMMMMAXAXMMASAMXMMSSMMMXMXMAXMXMMSMXMXMMAMMMASXSMMMSAMXMMAXMAMAAASMSMMSSSMMMAAMMXMMMAASMMMXSAMSASAAAXSX
+MXMAMAXAMMXMMMSAMXMSAMXSAMMSXSAAXASXMSASXMSXXMASAAMXAMXAXMAMMSMSSSMXXXAMAXASMMMAMMMMMXAASAXMXMASXSSMMMSAMXAAAXAMXSSXSASMASMMXAXXMAMMXMMSMSAM
+SASXSMSMSAASAAMAMAMMSMXSAMXMMMMXSAMAASASAAMXMSAMXSXSSMMMSSXSAAAAAAXSMSMSSXMMAAXMMAAAXMMXSAMXMMMMMXMASXSXMMXSMSMMAXXAXMMAMMAXSMXAMAMXMAAXMMMA
+MMSAAAXAAMMMAXSAMASAXMXMMMAAAMXAMAMMMMAXMAMXXMXSSXAAAASXAMAMMSMMMSMSAAXSAASXSMSSSXSMSXSASASMSAAASASMMAMMMXAXXAAMMSMMMAXMMSSMSASMSSXSAMASAXXS
+SXMXMMMMMXMMXMSXSXMASMXAAMMSMSMMSXMAXMMMMASXAAASMMSMSMMASAMXAXAMXXASMMXMSAMAXAAAMMMAXMMXSAMAXXSSXXSXMAMAMMMSSMSMAXAASAMXXXMAMXMAAAAXSMMAMXXX
+AXMXMSMMXMSSMAXAXAMAXMAMMSAMMAXXXMSMSMMXSAMXMMMMAXAXMXAAMAXMSSSXSMAMXMXXXSMAMMMXMAMMMAXXMAMMMXMXMAMXSMSASXAAMMAMSSSMMASXMSMSMSMMMMMMXMASXMXX
+XMAMAAAXXMAAMXMMMMMMSXMSAMAMSSSXMMAMAAAAMAXAMXMXMMSMSMMSMXMXAAXAXMXMSMSMAMMSXSMXMXSAASMXMAMXMAASXSAAMXSASMMSSXMSAMMXSAMXASAMXXASMXSSXMSMAMSM
+XMAAMXSMAMSMMXMAAXAMAAMMMMAASAMAXSMSSSMMSSSMMASAMXAAAAXAXSMMMSMSMMXMAAAMXMAXXAXMXAXXXAMXSMSMSMSMAAMASAMMMMAAXASMMXSAMXSMSMMMSSXMXAXMAMAMAMAA
+MSMXSAAMMMMAMAAXXSASMXMASMXSXAMSMMAAMXAAAMAASASASXMSMXMMXAAAXMAXAMSSMMMMMMXSXMMSMMSMSAMXXMAXMXMMMMMAMMXSAMMSSMMAXXXXMMMMXAAAXMAXMAXSMMXSSSMS
+AAAAMMSMSASAMXXSAMAXXXSASXMMMMMAAMMMSSMMSMSMMAXAMXXMMMAXXSSMSMASAMXASAXXASMMMMAAAXAXMXMXXSXSXMXMASMXSXASASAMAXMSMSMSAAAASXMXSSXMASMAASAMXMXM
+SMSMXAMXMASXMAXMAMMMMXMAXAXXAMSXMMMXAAMXMAAXMMMSMMXAAXSAMMAMXMAXAMSAMMMSXSAXAMSSSMSSMXSAAMAMXAMMAMXSMXMSSMASAMMAAXAMSSSMSXMAXMASAMMSMMAMXXAS
+AMAMMXSAMAMAMMMSMMMAAXXXMMMSMMXMSAMMSSMAMMMMXAAAAXMSMXMAXMAXAAMXSMMSMXASXSXSXMXMMXXAMAMMSMAMASXMAXMXMAMSASAMASMMSMXMMXXXMAXMSSXMASAXXMAMXSAS
+XXAXXASAMXSXXAAAAASXSMMMMSAAXMAMMAMMAAMASASASMSSSMXAMXSAMXSSSMSAMMMXSMXXAMAXMAMSMXSAMXSAAMAMXXXXMXAAMMXSMMXSAMXXAMASAAXMSMMMAXMSXMASMSMSMMAM
+SMXSMASAMXMMMMSSMMMXMAMAAMXMAMMMSAMXSSMXSAMAXAXXMXSXSXMASAAAAAMMSASAMXSMAMAMASMAMXMASASXXMAXMMSSSSSMMSAMMAASXMXSASAXMMSXAXSMAXMMSMXMXAAAXMMM
+SAAAMAMAMSAMAXMMASXMSSMMSMMXSXAAMAMXAAMAMAMSMMMMAAMMSASAMMSMMMMXSMMASAAXXXAMSAMAXASMMASASMSSSMAAXAAASMSSMMMSAMASMMXSAAMXMSXMMSMXAXAASXXMXMSS
+SASMXASAMSAMXSASAMAMAXAXMASAMMMMSSMMSAMAMAMXMAAAMAXXSAMXSAAAAXSAMXSSMMSSMSASMMSMSASXMAMXMAAAAMMSMSMMMAAMXMAMAMASAAAMMMSAXMASAAMMXSMXSAMSMMAM
+XAMMSMXMMSAMAXXMAMSMMXMMSAMAXMAXAAAXMMMSAMXMXXSSSSMAMXMAMMXMMMMASMMMAAMAAXXSXXAMMAMXMAXAMSMSMMAAAXMMMMMSMSMSSMXSMMSSMASASXSMMSXSAXXAMAMAAMAM
+MXMAAAXSAMAMSSSMSAMAAXMASXMMAMXMSSSMSXAXAMXSAMXXAAMSSMMSSMSSSMSAMAASXMSMSMMMMMXSMMMMSMSMMAXAAMSSSSXSAMAAAAXAAAMXMAAAMXMAMXAASAAMMMMXSMSSSMAS
+AXMSMXMMASMMMAXAMASMSSMASXMSXXXMAMXAMMASXMAXMASMMXMAAXAMAAAAAXMASXMMAASAAAXAAXAMAMXAAAAMMMXSSMAXAXAMAXSMSMMSSMMAMMMMMXMSMMSMMMSMSXSAMXAXAMXA
+SAMAMSAMAMAASXMXMAMXAAMAMXAAMSMSMMMMMMAMXMXSXSXAASMSMMXSAMMSMMSAMMASMMMSMSMSXSASAMMSMSMSXXMAMXMXXMMMAMMAAXXAMXSXSSSSSXMMAMMMAMAAAAMASMMXXMAX
+MMSAMMAMXSSMMAXXMXSMSSMSSSMSAAASXAAAXXASXMAXXAMMMSAXMMAXXAAXMMMAMMAMASAXXXMAMXASXXMAAMAXASASXSXSAAXMASMSMMSXMXMASAAAMAMSAMAMAMMSMXMMMMSMSMSM
+MAMMSSMMXXMAXXMXAXSAMXAXAXAAXMSMSSMMMSXSAMSSMMXMAMAMAMAXMXAMXMMMMMSSMMASMSSSMMXMASXMXMSMXMAMAAAXSMMMAMXAAAMMMMMSMMMMSAMXASXMXSAMXAMAAXAAAAAX
+MMMAXAASXXSAMSMAXXXSSSSMMMXMXXXAAMASAMMSAMAAXXAMASASMMSASAASXSMSXMXAXMAMMAAAAASMXMAMXMASMSXMMMSMXMMSSMSSMMXAMMXAXXAXMXSSMMMAAMAMSSSXSSMSMSMS
+SXMMMXMXAXMASAAMAMMMMMAAXAAMXMMMMSAMAMASAMSSMSXSASXSAAXAXXSAAAASAMSXMMMSMMSMMSMAASAMXMAXXAXXXAAMXAAAAAXXXAXXSSSMSSMSXXMASAMXMSAMSMSMAAMMXMAA
+MAMXMMXMXMMXSASMSXAAAXSMMMMMAAAAAMXSAMMXXMAXASAMASASMMMMMMAMSMMXAMSMMXMAXMAMMAMSMSMXXMMMMMAMMMSSSMMSSSMMSMSXAAMXMAXAXMXMMMSAXXAXMAMMSMMMAMXM
+SAMASAAMASMAMAMXMASXXMAXMASMMSMSXSASASXSSSMMXMAMAMMMXXXAAAMXXXSMSMSASXSXSXMXMAMXMXMASMSAMXAAXSAXMXMAXXAAMAAMMMMSSXMMMSAAAASXSSMMMAMXMMAXMMAX
+SASXSMMSAXSAXAMXXAAAMSMMMAMAXAAMAMASASAAMAMMMSAMXSXSXSSSSSXSSMMAMAMSMXSAMXXSSSXSASAMMAMXSSMSXMXMSAMMMXSMMMMMAMXMMMAAASXSMXSXXAMASASASMSMSSSS
+SXMASMMXAXXXXSSXMMMSAAMAMMSSMMSMAMXMXMAMSAMAAMASMSMSAAAAAXMXMAMMMSMMMAMAMMAMAAAMMSAMMSMMAXMMMMMXSASXSAMXAAASAMXAAMMMMSMXXXMMSAMMMAXASAAAAAAS
+MAXAMASXMMSMMMXXXXAMMXMSXAAXXAMMMMAMXSXMXMSMMSAMAMAMMMMMMMMAXSMXAXAAMXMSXSXMMMMMXSAMAAASAMXAAAMASAMAMAMSXXASASMMMSAAXMASMMSASMMMMSMMMMMMMSMS
+SMMMSAMMMAAMASAMXMXSSMMXMMSXMASAXMASAMMSXXSAAMAMXMAMAXSAXSSXSAXMASXMSSMMASMMXXXXAMMMMSMMASMSSSMMSAMMMSMMSSXMAMXAASMSMXMAAAMAMSASAMASAXXSAMAX
+AMAMMMMMMSMSXSAMXMAMAASMSMAMSSMMMSAMXSAMXAMMMSSMMMAXMSMMSMASAMXMMXMASXASAMXXAMMSXMASXXXSAXMAMXMMSAMXAXAAXXXMAMMSMXXMMASMMMMSAMXMAXAMSSXMAXSA
+MMXXAAXXMAMMXXXMAMAMMMMAAMAMXAAAMMXMAXASMMXAMXMMASMXMAMXAMMMXAMXMAMMMSXMASXMASAAAMXSAXAMASMMMAXXSXMMMSMMSMXSSXAXSMSMSAMAXXXXXMASAMXMAMXMAMMM
+XMASMSSXXMASAMSSXSXSMMMSMMMSSSMMSXMASXMXMMSMSMXMXSMAMASXMSXSXSSSMMSSMMMXMMXXAMXSMMSMMMXMAMASMMSMMXXMAAAXAAAAXMAXAXAAMMSSMSMMMMMMXSXAMSMMMSAS
+XSASXAXMSXAMASAAXSASXXXAMAAXAMXMSAXSAXAAAMAXSAMSASMSMASMAAAMAMAMSMAAAMAASMSMMSAMAXXAAXXMMXXMAMSAMXMMSSSMMMMXXMSSMMMSMMXMASAAAXAAAMMXMAXMXSAS
+XMASAMXAXMSSMMMSMSAXMXMAXSSMMMSXSAMAMSMMSMSMMSMMASAMMMMMAMSMAMMMAMSSMMMMSAAAMMXSXMMSMSXMASXSMMSSSXXAAAXAMXXMSAMAXMXMMSMMSMSMSSMSMAAMSXSXAMSM
+MMAMMXMXSAMAAMXXAMMMAASMMAMAXAMMMXMAXAAMMMXAXXXMAMXMAMXXSSXMXSXSMMXAXAXMMMMXMXMMMMAMXXMASXXAAASXMASMSSSMMMAMMASAMMMXAAMXMAMXMMMAMXXMXXAMMSAX
+AMAMSASXAXSSMMMMSMXXSXAXMAMMMMSXMAMXMSSMSASAMXXMXSAXAMXXXAXAMXAMXMXMMMXSAMXMSMAAAMASXMSMMMSSMMMAAXMAMAMXASASXMMAMAAMSXSASAMAXXMAXSMMMMSASMMM
+SXSXSASMXMXMAAXAXASMXMMASMXSAMXXMAMAXXAAMXMAAMAMASMSMSAMXMMSAMXMAMAXMAMSAMMAASMSMSXSAAAAAAMMSXSXMASXMSMSMSASAMAAMMXXMASAMASXMSSMMSAAAAXMSAAM
+MAMAMAMAAMXSSMSMXAMMAMXMAAMMMXMAXXSMSSMMMAMXSSXSAXXAAMAMXMAXAMMMXSAXMMMSMMSSXXXAASAMMSSSMSAAAXSAMXSAMAAAAMASAMSXSXSSMMMSMAXXAAAMAMMMMMSASMMS
+MAMAMXMSXXAMMASMMSMXASAXMMMASASAXMAMAXAASMSAMXAMXSSMSMAMSMMSAMAAXMXMXMAMXAAXXSAMXMAMAXAXMXMMXXSAMMMASMAMXMAMAMMAXAMAAXAXMMMMXSXMASMXSAMXMAMA
+MASMSSMASMASMAMAAXMMAXMXMASMMASAXSAMASMMSMAMMMXMAXXAAMAMMAXSASMXSAXSXMSMMMSMSASAXMAMMSMSMXSSXASAMXSAMXAXXMAMMSMMMAXXMMSSMAXXAXXSXSAAMMSASAMM
+SXXMAMMASMSMMMSMMMMMSMMASXSAMMMMMMXMASAMXMAMXXSSSSMSMSMSMMMSXMASMXMXMAAAXAAMSAXMASAXXAXAMSAMMMMMMXMASXXSXSASMAAMSMMSSXMAXXSMMXASASMXMXSMSXSA
+AMSMASMASMMASMSXSASAAASMSAMXMXAAXXAMXSXMASXSXMXAAAAXAAAAAXAXAMMMMAMAMSSSMMMXMAMMMSASMMSMSMAXXXMAMXXMMXAMXSMSMMXMAAMXMASAMXMMSMAMAMMSMASXMAMX
+SAASASMAMAMXMAMAXMAXXMMXMAMAMMAMMSMSMMXSXSMMASMMMMSMMMSMSMMSAMXAMAMXMAXAXSSMAXMXMXXMAAXXXMMMMSSMASXMAXMAMMAXAMXSAMXAMMMAMAXAXMMMXMXAXAXAAMXS
+MSMMSSMMSSMAMAMSMSXMSSMMASMXXMAAXAMXMXMXAXAXAMAAXXAASXMAXAXXXMSMSSSMMMMMMXAAMXSXSMASXMAMSASASAMAAXAMXXXMAMMMSMAMMMSMSMMSMSMMSMMXMMSMSMSXMXAX
+MXXMAXMMAAXMMAMXAXAXAAASXMASMSXSSMSXMAXMSMSMSSSMSSSXMAMXMXMAAXSAAXAMAXASXSMSMXSAMSXMASAAXAXMMASMXXAMAMSMSAXAXMMMAAAAAAMXAXAMAXAAAXAAAAMMSMMS
+AXSMSAXMSSMSSMMMMMXMMSMMAMAMAAAXAMMASXSAAAXXMAMAMAXSSXMASXMSMAMMMSXSSSMSAAXMMXMAMAMSAMMSMXMXSMMAMMAMASMAMMMMXMASMSXSXSMMXMSSSSSSSSMSMSMAMAMA
+MAXXMAXXAMXAAASAMXXAXAAMXMSMMMMMAMSMXMAXMSSMXAMXMAMMMAXAXAXMXMSAMXAMXAAMMMXMXMSXMSAMAMAXAMAMMAMAMSMMMXMAMXMSAMMSAXXAAXXMAXXXAAMMMAMMMMMXSAMA
+SMMMSAMMASXSSMMAAAMMMSSMXMXXMAMSSMXSASAMXAAMSMSXMASMSSMSSMMSAMAMXMSMXMMMXMMMAMSAMXXAAXMXSASASMMXMAMAXMMSSSXAMXMMAMMSMXASXSSMMMMAMAMXAASMSMSX
+XAAAMXXXMXMAXMSMMMXSAAXMXXMAMAMAAXAMXMASXSMMAMAMSASMAXAAAASXXSMSAMXAASAXAMAXXMMASAMXSAXAMMMMXXAXSASMMSAMXXAXMASMMMAXXSAMXAXXXASMSMSXSMSAMASM
+SSMSMSXSXSMSMMXXSAAMMMSMXMSMMAMSSMMSSSMMAXXMAXAMMXSMAMXXAMXMXXMAXXMXMXASMSSMSASASASAAMMXSMSXXMXMMAMXAMMSMMXMSXSAMXSMASMMMMMXSAXAAXXMMMMMMAMA
+XMAXAMAXMAMAMSSSMMMXSMMMMMAMSXMXAAXAAAXMXMXSASMSSMSMAMSMXSAMXAMSMSMXSXMXAAAASAMASMMMSXSXSAXXXAMSMXMMSMAAAMMXXASMMMXAXSASAASMMSMSMMMXSASXMASM
+MMAMAMMMXSAMXAMXAXSAXAMXAMAMMASMSSMMXMMXAAXMAMMAAAXMMXSAASMSSXMAAXMASAMMXMXMMAMAMXSXAASAMMMMXMMSASMAMMSSSMAAMAXASXSSXSAMSMSAAAMAAXMASXMASAXA
+AMAXSMXMAMMMMSSSMMAXXAMSSSMXXAMXAAAXSSMSXSAMAMMSMMMXSAMMMSAMAMMXSAMASAMAMSSSSXMASASAMXMXMAAAMSAMXMMXSAAXMASXMMXMMAMAAMMMXXSMMMSSSXMMSMSMMMSX
+SSMSMAXMAMXAAAMAMSAMSAMMASAAMSSMMSSMAAASAAMXXXAAAXXXMAXXXMMMMMSMXAMXSAXMAXAAMXXAMXSMMAAXMSMSSMXSXXXAMMMSXAMAAMSSMAMMXMASMASMMMXAMMSXSMAMAXAM
+MMMAMMMSSSXMXSMAMMAXXXMMAMMMXXAAAAAASMMMXMXSSMSSSMMMSAMXSMMASXAAMMXAMMMMXMMMMSMXXXXAXXSSXMAXAMSSMMMXXAXMMXSSMAAAMXXXXSASMMXAAXMXMAMXXMASMSMA
+XASXSXMAMMAMAXMASMMMMSXMXSXSXSSMMSSXXXXXMXAXAAAAMAAXMASMAXSAMMXXASMSXSASAAXSASASMMSSMXAAAMXMAMAMAXXAMSXSAXMMXMSMMSXMXMAMXXSXMSSMMSSMMSMXXAXM
+SMMMSXMAXSMMASXMSAMAXAAXMXAAXXXAMXMMMMSSSMSSMMMSMSSXSAMMMMMASMSMSMAAASASASXMASXXAXAAMASMSMASMMASMMMXSAASMXAAXMAXAXAMMMSMSMSAMXMAMXAMXAAMSSSS
+AXAAMASAMMXMXMAMXMSSSMMMAMXMMXSXMAAAASAMAAXXMAMAMXMXMAMAMAMMMAAXASMMMMAMAXAMXMAXMMXSAMAAAXXXASAXXAXMMMXSAXSMXSAMSSXSAAAXSAMXSXXSMSMMSMSMSAAX
+SSMXSMMASMAMMSSMXXAXXAAASAXXAMMMSSSSXMASMMMXSSSSMMXSXSSMXAXSMMMSASXMAMMMMSXSXSMSXMAXMSMSMSXSXMASMSSSXMAMMMXAMSASMXASMSSXSASASAAAAAMMXAMMMMMM
+MAXXAXSAMMAXMAXMMMMSSSXSAMXSXMXAAMMMMSMMXMSAMMAMXSMMAMAASXSMAAAMASASMMMAAXXMAAXAAMASXMAXASMSASXSAAAAAMAMAAMAMSMMMMMMXXMAMAMASMMMSSSMMMMASXSX
+SAMMAMXXSSSSMAMMAAAMXAXMXSASASMMSMSAAAMXSXMASMSMAMAMSMMMXMAXSMXSASMMSSSMXSAMAMSSSMASXMMMMMAMAMAMAMMMMSSSMSSSMSAMXASXSAMMMSMMMXAXAAAMASXMMAAS
+MASXMMXSAMXAMSMSXSMSMSMMAMMXAMAAMASMSXSAMASXMAMMMSXMXXXXMSAMXXMMMSXAAXAAASAMAXMAAMAXXMAAAMSMAMMMSMXXXXAAXMAMASXMSXSAMXSAAAAXAASMMSMSAMAAMXMX
+XMXAAAXXSMXAMXAMAXXMAMAMAXXMSMMSMAMXMMMMXAMXMXMAMMAMMXMMAMXMMMXAAXMMSSSMMSMMSSMMMSSMASASMSMXXSAAAXXMAMSMMMAXMXMXSMMMMAMMSMSMSSXMXXAMMMSMMAXX
+SMSMMMXXAXAXAMMMAMAXSSXMAMSAAAAXMXSAMAMSMSSSMMSSXMAAAAMMAMAAAMXMXXMAMAAMMXMAXAMXXAASXMAMXAXXXSMSSSXSAAAAXMMSMAMSMMAMMAMXMAXAXMAMASMMSAXXSXXX
+AAAXMASMAMSSSMXMASXMAMMMAAMXMMMXMASMAAAXXAAASAMAASXSMMSASMMXAMASASMSMSMMSAMMMMMSMSXMSMSMSMMAMXAXAAASXXMMMAMAMMMAXSASMMSAMAMMMSXMASAAMMSMMMSM
+MMMSMASMAMMAAAXSAXXAAXXMMSMSXXMXSAMXSMSAMXSMMSXSXMAXAAAMMMMMAMASASAAAAAASMSSSSXSAXXXAXXAXSXMAAXMMMMMXSSMSAMXSSSMXSASAAMXMSSXAMXMASMMXMAAAAAX
+ASAXMAMMMSMSMMMMASMSMXXXAAXXMASXMXSMXMXAMXXXMAXXMMXMMMSXMAMSSMXMXMMMSMMMSAAAAAAMMMASMMMMMSMXMMMAAXAMAMAASASMMMAXAMMMMMMMXAXMAMSAMXASASMSMSSS
+XAXXXXMAXSMXMMMMMMMAMXXSSSMMSSMAMMSAAMSSMMXSAMXSAASXSAMAMMMAAMMMMMAXMXMAMMMSMMXMAMMXAAAAMXAMXSASXSMMMSAMMMMAASXMSXSAXXASMMSXSAMMMSXMASAMAMXM
+MMSSXASXXMMAMAMAMXSXSSMXAAAASAMXMAMSXXAAASAMAXASXMAAMAXAMSMSSMAAXSAMMAMXSXMAXMSMSSXSXMXMSMMMAXMAMAAAAMMMAXXXMMSAXASMSSMMAXAMMMMAAMAXAMAMXXAM
+MXAMMAMXASXXXASASMMMXMAMMMMMSAMXMSMMSMMSXMASXMMSXMMSMMXSMXAAAXSSXMMXSAMMMASMMMAAASAMXSAMAAAMXSMMXSMMSSSSSSMMSAXSMMMMMAASXMMMSASMSSMMSMMMSMAM
+XMAXMAXMMMASMASASMXAAXSMXAXAMXMASXSAASMXMSXMASAMAAXXAAAMXSMMSMMXAAAASASXSXMAMSMMMSXMASASXSXSXXAMXMAMMAAXAAAAMAXAMAAAXMMMSAXAMXMAXAAAXAMAXMAM
+MSSXSXSAAAAMMAMXMXSSSSXAXMMSXXXXAXMSMSMMAXXMAMASMMMSMMXXAXASXMSSMMMMSMMMMXMAMMASAMAMAMAMXMAMAMSMMMAMMMMMSMMMMSMMSSSSMAAAXSMMSXMXSXMASAMXSXXX
+MAMXSAMMSMSSXAXMAXMAMMXXMXMXAMSSMXXAMXAMSMSMASAMAAAXMASMMMSMSAAXMAXXSMSMSAMMMSAMASXMAMSAAMAXAXMXMASMXXAAMMASAXMXAMAAMSMSSXXXAXSXSXSXSAMAMMXS
+MASMMAMAXAAAMSXSXSMAMSMMSXSMAMAAXXXASMSMAASXMMMSSMMSMAXAXXMAMMMSSMMMXAAASAXSAMXSXMAMAAMXXSSMMXSAMAMASMMSMXAMMASMMMSAMXXMAMAMMXXAXAMAMXMXSAXA
+SASASAMMSSMMXXAAASXXSAAAAAMSMMXXXSSMMMASMSMASXMAAAAAMSXMMMMAMAXAAASXMMMXMAMMAMXXASXMMSXSXAAAXMSAMAMASXMAXMXSXMSAMAMMXSMSAMXAXAMSMSMMMAMXSMSM
+MASAMMSMAXSXAMMMMMASXMSMMSMSMMMSMMASXXAXMAMXMXMSXMMSAMXSAXMASMMSMMMAAXMSMMMMXMMMMMMXXAAXMSSXXAMAMXSAMASASMMMAMSMMAXXSAAMASXMMXSAAXMXMASAMXXM
+MXMASAAMSSSMAMXSSMMMMAMAXXAXXAAAASAMXMAMSASMMXMMXSAMXXXSASXMSXAXAASXMMAAAAAMSXSAAMAXMMSMAXMASMXSMXMXSAMXSAASAMXXSMSMMAXSAMMSSXSMSMAAMMMXSMMS
+MSMMMXSSMMMXSXMSAMXMMASMMMMMSMMMXMASMXAMMAMXMMSAAXMAMXMMMMAMMMSMSMSXMXSMXMXXAAMSXSXAMAMMMMMMAAAXMSAXMMSASXMSAMXXMXXXAAMMASAAMAMAXXSMSMAMXXAX
+XAAMAMMXXAAAXAMXSMAXSASAMAAMAASMSSXMASASMSMAXAMMSSMSXMSAXSMMAAMAXAXASXXMSSSMMSMMMMMSMMMSAAXSMMMMAXSAASMASMXSXSSMMMXMMSSXAMMAMSMAMAXAAMMXMMSS
+SSSMASMMSMMMSAMSMXMMMASASMMSMSMXAAXAXAMXAXSMMSSMMAAAAMXSMAMMMSSSMMMXMMAXAAXMXAXSAMXXASASXMMMASXXMAMMXMMMMMMMXXXAAXAXAMMASXSXAXMXMAMSMSMMSAMX
+AAAMXMAAXAAXXAMAAAXAMXMAMXAMXMAMMMMSAAXMXMAMAXAXSMMMXMAXMAMXAAAMXSSMSSSMMXMSSMSASXMXAMASASXSMMSAMAXMSSMAAAAMMMSSMXSMSXSAMXAXMXSMMSXXXXAASAMX
+MSMMXSMSSXMMSSMMSMMASMMSMSSMMSAMXAAXMAAXMSMMSSMMSMASAMXSSMSMMMSMAMMAAAMASMXAAXAMAMAMXMXSMSXAAASXSSSMAMXSSMSAXAAAXAXAXXMASXSMMASAXMAMXSMMSAMX
+XXXSMAXXAAMXAMXXMXASXXMAMXAAASAMSMSMXSSSMAXSXAAMXSASAMAMAMMAMSAMXSMMSXSAMAMSSMMXAAMAASXSXXMSMMMMAMXMASXMAAAMMSSSMMMAMASAMMXAMAXXMASMMSAASAMM
+XMAXAMSMSMXAXAASMMMXAXXAMSSMMSAMXXMXAMXAXAXASMMSAMMSAMASAMSAMXAXMXAXXAMXSSXXXAXSMSMSMSASXXAXMXMASXXMMMAMMMXXXMAXAXMAMAMXMASMMXSSMAAMASMMSMMA
+SMMMSXAAAAXMSAMXAMXMAMSMXMAAAMMAMXMMMSSMMMMMXXAMASASXMXMXMSXSSSMAMMMMMMAMMSAXXMXAMMMAMXMAXSASMSMMXXXSSSMXSXMXXASXMSAMXSSSMMXSXAAMMMMASAASMMS
+SAMXASMSMSXMAMMXXMAAAAAXAXXMMMXMMMSAAMXMAXSXSMSSSMMXMSSSMXSAMAAXXXAAXMMMMAMXMSSMMSMMAMAMXMXASMASAXXXMAMMAMMMMXMAMASASAXMAASAMMSMMAAMMSMMMAXX
+SAMMMMXMMXAASMSMSSMSMSMSMSSSMSMSMASMXSAXAMSASAAXMAMSAMSASAMMMSMSXSSSMMASMAMAXXAAAAXMASXMSXMXMMAMMXAMMMMMXXAAAAMAAXSMMXXXSMMASMASXSXSMXMASMMM
+SMMXAAAMXSSMXAAAAMMAXAAAAAAAAAAAMMMSMSAMSMMAMMMXSAMASMSXMMSXAAAXAMXXASASXASXXSSMMASXXXMXMAMMMMXSXXMSAXXXXSSSSXSASASASXXMASXXMXAXXAASAXXMAMAM
+MAMSMSMSAMXSMMMMMSXMSMSMMMSMMMSMSAAAMMAMXASXXSXAMASMMXMSXXAXSMMMXMASMMMMMXSXAMXMMAXXXXMAMAMAMXMAMAMAMSAMXXMAXAXAMAMAXAXSAMMAMMXSMMMMAMSSSSMS
+MAMXMAXAMSAMXSSXXXAXSAMXXMMMMAAXSMSMMSAMSAMAXMMXSAMXMMMSXMMAMXSMAMAMAAMSMMMMMMASMASXMMSAXSSMSAASXSMAMSMSMSSMSMSAMXMMMSMMXMXMXSAAMSAMXMXAAMMM
+SSXSMSXMMMMSAMXASMMMMAMSAMXASMMXXAXXXSSMMAMXMSAMXMMASAASASXMSAASXMXSSMMAAASAXXAMXSAMXMAMXAAASMMXAXMSXMAAAXAAAAMXMAAXAAAMSMXSAMSSMMMXAAMMMSAS
+XAASAXXXAXXMMMAXXMSAMXMMASXMSAMMMXMMMMMXMXMAMMAMMXXAMMMXAMMXSMMMXMMAMXSSSMSASAXXXMXAXSASMXMMMMAMMMMMAMSMMMMMMSMAMSSMXSXXAAXMAMAMMASAMXSXXSAS
+SMXMASASMSMAXSMSXMAMSAMSAMMASXMASAAXSXMSSSMAXSAMASMSMSSMAMSMMSXAAXSMMXAAXXMAMAMSSSSXMMAMXSMSMMAXAAASAMXMSAAAXXXXMAXXAXXSMSMSMSAXSASAXAMAXMAM
+AAXMSMAAAXMXMASMASAASAMMSSMAMAMAXMXMMAAAAXMAXXMXMXAXAAAXMMXXAMXMMXMAMMMMMMMMMSMXAAAASMMMSAAXXSMSSSMSXSAXASXXMSXSAXXMMSAMAMAAASAMMASXMMMSMMMM
+MMMMXMSMMMSAXMASAMSMSXMAAXMAMSMSSSXAMMMMSMMSMSSSSMMMMMSXSASMSSSMSASAMAAAAXMAAMAMXMSAMASXXMMMMMAAAXAMAMMSMXSAAMASXSMXAMMMAMSMXMAMMAMXASAMAMAS
+XAAXAAAAAAMSSSMMXXXXXAMXMMXASMAXAMXSAMXXXAMXAAAAMAAXXAXMMASAMAMXSMXASXSSSSSMXSASXXMAMAMXAXMAAAAMMMASMMAAXAMMMMAMASASXSMSMMAXSAXMMASXXMASAMAX
+SSSSMMSSMXSAXXXXMMMSMMSAXSMXAMXMAMAMASXSSMMMMMXMXSMSMMMMMAMAMAMXMXSMMMAMMMMAMSASXSMXMASXSMSXXSSXXMXAXMASMSSSMMASMMAMAAAASAMXMAAXXMAXXMASAMMS
+AAXAMXXAASAMXMMSAXAXAASAMXMAASXMMMXSAMMMAXXAAMASAMXXAAASMMSXSASMMAXAAMMMAMMAMMAMAAXASXSAMXAMMMMMSMSMMMMXMMAAXSMSAMXMSMMSAMXXMAMXXMASXMXSXMSA
+MMMMMXMAXAMXMSASMMMXMMSMMAXXMMAAXAAMAMMXMMSSMSASAMMSMSMSAAAXSAMAMAXSMMXSAMXAXMAMXMSASAMXMMASAAAAAXAXAXMASMSMMSXSMMXMXXXMASXMXMSXSMASASAXMXXM
+MSAAXSMMSAMAMMAMXAMAXASAMMXSAMSMMXMSSXSASMMAAMXMAMAAAMXMMMSMMAMSMSXMASXSASMMXSASMXMAXMAMXMASMSMSSSMXSASASXMAXXMXMXMASXSMAMAXMASAAMXMMMAMSMAX
+SSMSXSAAXXMASXSXSASMSASAMAAMAMMMSXXXAASAMXMSMMSSMMXSAMAXSAMXMMMXAXASAMAMXMAMAMMMAXMAMMAMAMMSAXXMMXXAXXMAMXMSSSMSXXAAXXXMASXMASMMMSSMXMSAASXM
+XXAAMMMMSMSASAXAMAAXMASAMMSSMMMAMAMMMMMAMXAMXAAAAAMMAMXXMASXMMSMXMASAMXMASMMMSSSSSMAMSASXSSMMMASASASMSMSMSAAAAAMMMMMSMMMASAMSXAXAAXMAAXSMSXM
+MMMMAAAXAMMASMMXMSMSAMXXXXAAASMAMXMASXSSMMSMMMSSMMMSAMSXSAMXAAAAASXSAMXSASAAXAAAAAXAMSAMAMXAMSXMASAMSXAAAMMMSMMMAAAXXMASXSMMASMMMSASMSMAXMMS
+XMMXSMSMMSMAMXXXXXMAMSAMXMSSMMSMSASMSXXAXAXXMAXXMSAMXXXXMASAMSMSAMXSXMAMXSXMMMSMSMMMMMAMAMSSMMMMAMAMAMSMXMXXMXMASMMSAMXAASAMXSXXXXMXAMMAMXSX

2024/d04/ex2/ex2.py

@@ -0,0 +1,49 @@
+#!/usr/bin/env python
+
+import itertools
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> dict[Point, str]:
+        return {
+            Point(x, y): c for x, line in enumerate(input) for y, c in enumerate(line)
+        }
+
+    def count_xmas(grid: dict[Point, str], dims: Point) -> int:
+        max_x, max_y = dims
+        count = 0
+        for x, y in itertools.product(range(max_x), range(max_y)):
+            if grid.get(Point(x, y)) != "A":
+                continue
+            if {grid.get(Point(x + dx, y + dy)) for dx, dy in ((-1, -1), (1, 1))} != {
+                "M",
+                "S",
+            }:
+                continue
+            if {grid.get(Point(x + dx, y + dy)) for dx, dy in ((1, -1), (-1, 1))} != {
+                "M",
+                "S",
+            }:
+                continue
+            count += 1
+        return count
+
+    lines = input.splitlines()
+    grid = parse(lines)
+    return count_xmas(grid, Point(len(lines), len(lines[0])))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d04/ex2/input

@@ -0,0 +1,140 @@
+SASASMSSSMSMSMSMSSMSAMXMAMAMXSXXXMAMMXSAMXMXMXSMMMXXXSXXAXSMMMAMXAXSMSSXXMSASASMXSSMSMSXMMMAMMMXXSAMXSSMXAXSASMMMXMASAXSXMXMAMXAMXXMAXXAMAMX
+AASAXAAAAXXASASMXSAXAMXXSMSSMSAXSMSMMASAMAAXMAMAAAMMMMMSMXSAMXSSMSMXMAXMASXAXAMXAAXMAMXAMASAMAAMXMASAMAAMSMSASASMMMMAMSXSMASMMSMSMMASMMMSAMA
+MXMXMMMSMMMMMAMXAMXMSSSMAXAAXMAMAAAXMASASMSXMASMMXSAAAAAMAXAMAXAAXAAMXMAMXMSMSMMXMASMSMXSASAXXXSASXMASXMMXAMMMAMMAXMXMMAXXAMAAAAAAMAMAAXSAMA
+XSMSAXMAMAAXMAMMSSXSAAXSMMXXMASMMSMSMXSMMAMMSMAAXASMSMSSSMSSMMSMMMSSSSSSSMAMAAXMXXXAAAAAMMSAMSMSASMSXMASAXSAMMSMSMMMAAMAMMSSMSMSSSMAMMSMSAMX
+XMAMAMSASMSSSMSAXAMXMSMAXAMMMXXXXMMXMAMAMXMXAXMMMMSAMAAXAXAXMXMAMXMXAAMAAMAMXMMXMMMMMMMMSAMAMMAMAMAMASXMXMXXSAXMAAASXSMXSAAAXXAXAXXSSMMASAMM
+XMAMAMXAMXXXMAMXMMAXAAXMXSAASAMXSMASMASAMXSXMSXSXAMAMMMSSMMSXXMASAMMMMMXXMASMMMSMMASAMASMASXMMAMASXMAMXMAMSXMXSSSSMAMAXAMMSMMSMMAMXMAAMXMMMA
+MSASXSMSMXSAMXMMMMSMXMMMAMXMMASXXAXXMAMASASAAXAMMSSMMMXAXMAMMMXASMSASXMSSSXSAAAMAAASASXSAMSAASXXXSASMMMXAXAMMXMXMAMXSMMXXAXMAMXMXMASXMMSMASX
+MSXMASXAAXSAMXMAXXXAMMMMASMSSMMXMXMSMSSMMASMMMAMAMAASMMMMMASMSMMSXAXSAMAAAASXMMSSMXSAMMSMMSMMMSMSMXMAASXXMAXMAXMMXMMAXXXMASMXMAMASMSASAXMAMX
+MXMXSMSMSMSXMSXSXMAMAAAMXSXAAMSMAAAXXAAMXAXAXXXMXSMMXXASMSMSAMAXSMSMSAMMSMASXMXAAMAMASAXAAXAMAMMAMSMSMMAMSSMSXSASMMSXSXMMASMMSASASAXXMASMXSM
+SAXMAMAXAASAMXMMASAXSMXSAMMSSMSASMSMMSSMMXSXMSAMXSAMSSMMAAAMASMMMAAMMAMXXAASXMMMMMMSAMMMMMSXMAMSAXMAAXMAMXAAASMMMXAXMMAMAXMAMMMMXSXSSMMMXAAA
+SAMSMSMSMSMMAAMMAMAXMASMMSAMXAXXXAAMMAMXMMSMAXMMASAMASXAMMMMAAMXMSMXSAMXXMMSMXAAASXMASXXSASMSSMSXSMMMXXAMMMMMAXAMSMMASAMXSMSMXAMASAAMAAAXSMM
+XAMMXSAAMXMASXSMXSSXMMMAMMASMMMSMSMSAMSASXSASMXMASXMASMSSMXMXSAMXXXMSXXMAAAXAMMSMSAXSMMAMASXAXMSXAAXAASMSMXAXMSAMMASXSXMAMAMXMASASMMSSMSAMXS
+XAMXASXMSSXAXAXMAXMAAXMMMSXMAMASMAAXAXSASAMSMAXMASAMASAAAAXMAMXASMSMSMASMMSSSSMMASAMMAMXMMMMSSMMMXMMMXSAAASXSXSAXSAMAMMSSMMMAMMAMXAXAXMMAMAM
+MSAMXXAXAMMSSMMSXXXAMXXXXXXSAMSSMXMSMMMXMMMASXXMMMXMASMMXMXMASXSXAXAXSMXAAXAAAXMAMMMXAMXSXMSAAAAMASXMMMMMMSAAAXXMMMSAXXAAAXMXXSAMSXMASMSXMAM
+XXAXXSMMMSMAAAAMMSMAXXMMAMXSASMXMAMAASMMSASAMMMMSXXMASXSSMSMASXMMSMMMSXSMMMMSMMMXMAMSMMAXAXMASMMXAXAXMAMXMMXMMSMASAXASMSSMMMAASAMSXMAAXXMSAS
+SSMMMSAAXAMSSMMSAXXAMXMSSSMSXMAMMSSSSMAMSAMMMSAAAMAMXSMXXAAAAXMXAMASASAMXAAXAXXXSAMXAAMXSXMSMMMXMSSXXMASMAAXXXAAMMMSAAAXAXAMAXMAMMAMMSAMXXAA
+XAXMASMMSMXMAAXMASMMMXXXAAAXSMMMAMAMXMAMMAMAASXSMXMASXMXMSMSXSMSSSMMAXSMMSSXMSMXXMASXSMAXMXMASXSSMAMASASXMMMXSASMAXAXMSXSSMSMMMMMSXMAMMASMMM
+SMMMASMAXXXMASMMXMASXMXMSMMMMSAMXSAMSSXMSSMMXSAAXASXMAXXAAXAXMAAAAXMMMXSAAXASXAMMXMMMAMSSMMSAMXMASMAXMASXSXAAAAAMXMMXXXMASAAXAXAAXSMASMAMAAM
+MMMSAMMXSXMSXMASASXMAXSAMAMAAMXSXXAMMMSMAMXXSMMMSXSAMXMMSMSMMMSMMMMSMAMMMXSXMAMAMXAAMAMXMAAMAMXAAMXXMASXMSXMMMMMSMMXSAMMAMXSSSSMMMAMAXMASMMM
+MAAXAXXXAMXMASMMAXAMAMMAMMSMXSAMXSSMSAAMAMSXMAAXXASMMAXAAXAXXXAAXSMMMASXMXSASAMSMSSSXSSMSMMMSMSMSXXXSXMXAXMMASXXXAXXXAXMXSXMAAAASMMMAMSASASA
+MMSSSMSMSMAMXMMMSMSMSXMMMXAAAAAXAAMAMSXMASXAXSMSMMMASXMSSSSSSSMSMMAASXSMSMSASXSXAMAMXMAMMAMXXAXAAXSMAAMMXMMSASXMSSMSSMMMASAMMMMASAXSSXMASAMM
+SAMMAMAAASMSMSAAAMMAXMSAMMMSMMMMMSMAMAMSMMXSMAAXAMSXMAAMAAAAAMSXAXSMMXMASAMAMMXMXMAMMXAMSAMSMAMXMAMAMAMSSMMMSSXAAAAMAMAMASXMASXASXMAXAMAMAMX
+MASXAMMMMXXAMXMMXSMAMASASXXMMSSXMAXAMXXAXSAMSSMSSMXXAMMMMMMMMXSMXXAAXXXSXMMAMAXSXXXMASMMMMXAAXXSMMMSSMXXAAXMASMMXXMXAMAMASXMASMASAMMSXMMXMMX
+XAMMXSAXXXSMSSMSMSXAMMSAMXAAAXMASMSXMXSSSMAXAXMAMMMMAMAXXXXSMAXAMSSMMMXMAXSXMSAMXSSMXSAAAMMMXSMMMAAMAAXXMMMXMXXMASMSXSMSAMXMAXAMMXMXMXMAAMSS
+SSMMXMASMAXSAMAMAMSXSXMAMSXMXMMAMAAASAMXAAXMASXMXAAAASMSMSAAMAMSMAAAXMAMXMXAAAAXXAXMASMSXSAMMAAASMSSSMMMSSSXMMMMXXAAAMAMAMXMASXXMAAASAMMXSAM
+XAASXSAAMAMMXMAMAMXMXMMXMSXSASMMSMSMMAASMMMMXSMMSSSSMSASAMSMXAMAMMSMSSXXAAMMMSMMMMAMXXXAASASXSMMSAXAXXAXAAMXXAAAXMSAMXAXAMMMXSMASMSMSASASMMM
+MSMMAMSSMSSSMMXSXSSMAMXSXXAMAXAXAXAASAMXMAMXAXAAAMAAAMAMXMXMMMXAXMAAAAMSXXAMAMAXXXMMMMMXMMMMMAMAMXMAMSSMMSMSSSSSXAAXSXXSASAMAMMMMAAASMMMXASX
+AXAMXMAMMXMAAXXAXSAMMSASMMSMMMSMMMMASMMASAMSAMMMSSXMMMXMXSXSAMSMSXMSMXMASXXMASXMAXSAAXMSXMXXSAMASXMAMAAMMAAAAAXXASXSMAMSAMMSAXAXMSMMXMASXMMX
+SSXMAMSSMASMSMAMXSXSAMXSAAAXAAAAXXXXMAXAMAMMAMSSXMASAMXMASASMXAAXMAMXXSAMXMSMSMSMASMSSMMAAAXMXMXSXSASMMMSMMMSMMXXMMAXSMMAMAMMXSXXXMSASASMAMA
+AMXMXMXAXASAMMSXMSAMMMAMXSMSMSSSMSSXSAMSSSMMXMXAAAASASXMASAMXSMSMASMSMMMSXMAAMAAMAXMMAASMMMSSXSASMXAXAXAXXXAAAXMASMMXMAASMSXSAXSMAASXMAXMAMX
+MMAMAMXMMMXAXAMAAMXXAMAMAXXAAMXAASAAMXSAAASAMXMSMMASAXASAMAMXAAXMSMAXXAAAASMSMSMSMXXSMMMMXAAASMAMAXSSMMMSMMSSSMSAMXSASAMXAMAMMSASXMXXSXMSSSM
+XSASASMXXSSMMSXSXXAMMSMSMASMSSSMMMMMMMMASAMMSAAXXXAMXMAMASMMXMXMXAMMMMMMXXMAAAAAAASMSAMMMSMMSMMXMSXMAMAMXAMXAXAMXSAMXSMSMAMMMMSMMSSXMSAXSXAX
+ASMSASAMXXAAAMXXXMMAXAAAXAMXAAAAMXAXXAXMMASASASMXMASAMASXMAMXXAASMMAAXASXSMXMXMXMMXASMMAAAAXXXMAXMMSAMXXXAMMXMSMMMMSAMXXMAMXXXMAAAXAASXMMSXM
+XSAMXMAXSSSMMSAMXSASXMSMMXSMMXXMASMSMMSXSXMAXAMAXMASASASMMMSSMAXAASXXSASASXMSASXSMMAMMSMSSSMSASMXXAXAMAMSSMMMMXASMSAMXAXXMASXMSMMSMMMMAXMXSA
+MXASMSMXXAXAXMXMASMMXAAMMMMMSMAXAAMXMMSAMMMSMMMXMMXSXMAXXXAAASMMMMMAAMAMAMAXSASASMSAMXAXXXXASXMSAMSSMMMXAAXMAMXAMMXMASXSXAAXAAAXAAXMASMMMMAS
+SMMMMAMSMXMXMXMMXSXXMSMSAMAAAMSMSMMAXMMMMMAXAXMMASAMXMMSSMMMXMXMAXMXMMSMXMXMMAMMMASXSMMMSAMXMMAXMAMAAASMSMMSSSMMMAAMMXMMMAASMMMXSAMSASAAAXSX
+MXMAMAXAMMXMMMSAMXMSAMXSAMMSXSAAXASXMSASXMSXXMASAAMXAMXAXMAMMSMSSSMXXXAMAXASMMMAMMMMMXAASAXMXMASXSSMMMSAMXAAAXAMXSSXSASMASMMXAXXMAMMXMMSMSAM
+SASXSMSMSAASAAMAMAMMSMXSAMXMMMMXSAMAASASAAMXMSAMXSXSSMMMSSXSAAAAAAXSMSMSSXMMAAXMMAAAXMMXSAMXMMMMMXMASXSXMMXSMSMMAXXAXMMAMMAXSMXAMAMXMAAXMMMA
+MMSAAAXAAMMMAXSAMASAXMXMMMAAAMXAMAMMMMAXMAMXXMXSSXAAAASXAMAMMSMMMSMSAAXSAASXSMSSSXSMSXSASASMSAAASASMMAMMMXAXXAAMMSMMMAXMMSSMSASMSSXSAMASAXXS
+SXMXMMMMMXMMXMSXSXMASMXAAMMSMSMMSXMAXMMMMASXAAASMMSMSMMASAMXAXAMXXASMMXMSAMAXAAAMMMAXMMXSAMAXXSSXXSXMAMAMMMSSMSMAXAASAMXXXMAMXMAAAAXSMMAMXXX
+AXMXMSMMXMSSMAXAXAMAXMAMMSAMMAXXXMSMSMMXSAMXMMMMAXAXMXAAMAXMSSSXSMAMXMXXXSMAMMMXMAMMMAXXMAMMMXMXMAMXSMSASXAAMMAMSSSMMASXMSMSMSMMMMMMXMASXMXX
+XMAMAAAXXMAAMXMMMMMMSXMSAMAMSSSXMMAMAAAAMAXAMXMXMMSMSMMSMXMXAAXAXMXMSMSMAMMSXSMXMXSAASMXMAMXMAASXSAAMXSASMMSSXMSAMMXSAMXASAMXXASMXSSXMSMAMSM
+XMAAMXSMAMSMMXMAAXAMAAMMMMAASAMAXSMSSSMMSSSMMASAMXAAAAXAXSMMMSMSMMXMAAAMXMAXXAXMXAXXXAMXSMSMSMSMAAMASAMMMMAAXASMMXSAMXSMSMMMSSXMXAXMAMAMAMAA
+MSMXSAAMMMMAMAAXXSASMXMASMXSXAMSMMAAMXAAAMAASASASXMSMXMMXAAAXMAXAMSSMMMMMMXSXMMSMMSMSAMXXMAXMXMMMMMAMMXSAMMSSMMAXXXXMMMMXAAAXMAXMAXSMMXSSSMS
+AAAAMMSMSASAMXXSAMAXXXSASXMMMMMAAMMMSSMMSMSMMAXAMXXMMMAXXSSMSMASAMXASAXXASMMMMAAAXAXMXMXXSXSXMXMASMXSXASASAMAXMSMSMSAAAASXMXSSXMASMAASAMXMXM
+SMSMXAMXMASXMAXMAMMMMXMAXAXXAMSXMMMXAAMXMAAXMMMSMMXAAXSAMMAMXMAXAMSAMMMSXSAXAMSSSMSSMXSAAMAMXAMMAMXSMXMSSMASAMMAAXAMSSSMSXMAXMASAMMSMMAMXXAS
+AMAMMXSAMAMAMMMSMMMAAXXXMMMSMMXMSAMMSSMAMMMMXAAAAXMSMXMAXMAXAAMXSMMSMXASXSXSXMXMMXXAMAMMSMAMASXMAXMXMAMSASAMASMMSMXMMXXXMAXMSSXMASAXXMAMXSAS
+XXAXXASAMXSXXAAAAASXSMMMMSAAXMAMMAMMAAMASASASMSSSMXAMXSAMXSSSMSAMMMXSMXXAMAXMAMSMXSAMXSAAMAMXXXXMXAAMMXSMMXSAMXXAMASAAXMSMMMAXMSXMASMSMSMMAM
+SMXSMASAMXMMMMSSMMMXMAMAAMXMAMMMSAMXSSMXSAMAXAXXMXSXSXMASAAAAAMMSASAMXSMAMAMASMAMXMASASXXMAXMMSSSSSMMSAMMAASXMXSASAXMMSXAXSMAXMMSMXMXAAAXMMM
+SAAAMAMAMSAMAXMMASXMSSMMSMMXSXAAMAMXAAMAMAMSMMMMAAMMSASAMMSMMMMXSMMASAAXXXAMSAMAXASMMASASMSSSMAAXAAASMSSMMMSAMASMMXSAAMXMSXMMSMXAXAASXXMXMSS
+SASMXASAMSAMXSASAMAMAXAXMASAMMMMSSMMSAMAMAMXMAAAMAXXSAMXSAAAAXSAMXSSMMSSMSASMMSMSASXMAMXMAAAAMMSMSMMMAAMXMAMAMASAAAMMMSAXMASAAMMXSMXSAMSMMAM
+XAMMSMXMMSAMAXXMAMSMMXMMSAMAXMAXAAAXMMMSAMXMXXSSSSMAMXMAMMXMMMMASMMMAAMAAXXSXXAMMAMXMAXAMSMSMMAAAXMMMMMSMSMSSMXSMMSSMASASXSMMSXSAXXAMAMAAMAM
+MXMAAAXSAMAMSSSMSAMAAXMASXMMAMXMSSSMSXAXAMXSAMXXAAMSSMMSSMSSSMSAMAASXMSMSMMMMMXSMMMMSMSMMAXAAMSSSSXSAMAAAAXAAAMXMAAAMXMAMXAASAAMMMMXSMSSSMAS
+AXMSMXMMASMMMAXAMASMSSMASXMSXXXMAMXAMMASXMAXMASMMXMAAXAMAAAAAXMASXMMAASAAAXAAXAMAMXAAAAMMMXSSMAXAXAMAXSMSMMSSMMAMMMMMXMSMMSMMMSMSXSAMXAXAMXA
+SAMAMSAMAMAASXMXMAMXAAMAMXAAMSMSMMMMMMAMXMXSXSXAASMSMMXSAMMSMMSAMMASMMMSMSMSXSASAMMSMSMSXXMAMXMXXMMMAMMAAXXAMXSXSSSSSXMMAMMMAMAAAAMASMMXXMAX
+MMSAMMAMXSSMMAXXMXSMSSMSSSMSAAASXAAAXXASXMAXXAMMMSAXMMAXXAAXMMMAMMAMASAXXXMAMXASXXMAAMAXASASXSXSAAXMASMSMMSXMXMASAAAMAMSAMAMAMMSMXMMMMSMSMSM
+MAMMSSMMXXMAXXMXAXSAMXAXAXAAXMSMSSMMMSXSAMSSMMXMAMAMAMAXMXAMXMMMMMSSMMASMSSSMMXMASXMXMSMXMAMAAAXSMMMAMXAAAMMMMMSMMMMSAMXASXMXSAMXAMAAXAAAAAX
+MMMAXAASXXSAMSMAXXXSSSSMMMXMXXXAAMASAMMSAMAAXXAMASASMMSASAASXSMSXMXAXMAMMAAAAASMXMAMXMASMSXMMMSMXMMSSMSSMMXAMMXAXXAXMXSSMMMAAMAMSSSXSSMSMSMS
+SXMMMXMXAXMASAAMAMMMMMAAXAAMXMMMMSAMAMASAMSSMSXSASXSAAXAXXSAAAASAMSXMMMSMMSMMSMAASAMXMAXXAXXXAAMXAAAAAXXXAXXSSSMSSMSXXMASAMXMSAMSMSMAAMMXMAA
+MAMXMMXMXMMXSASMSXAAAXSMMMMMAAAAAMXSAMMXXMAXASAMASASMMMMMMAMSMMXAMSMMXMAXMAMMAMSMSMXXMMMMMAMMMSSSMMSSSMMSMSXAAMXMAXAXMXMMMSAXXAXMAMMSMMMAMXM
+SAMASAAMASMAMAMXMASXXMAXMASMMSMSXSASASXSSSMMXMAMAMMMXXXAAAMXXXSMSMSASXSXSXMXMAMXMXMASMSAMXAAXSAXMXMAXXAAMAAMMMMSSXMMMSAAAASXSSMMMAMXMMAXMMAX
+SASXSMMSAXSAXAMXXAAAMSMMMAMAXAAMAMASASAAMAMMMSAMXSXSXSSSSSXSSMMAMAMSMXSAMXXSSSXSASAMMAMXSSMSXMXMSAMMMXSMMMMMAMXMMMAAASXSMXSXXAMASASASMSMSSSS
+SXMASMMXAXXXXSSXMMMSAAMAMMSSMMSMAMXMXMAMSAMAAMASMSMSAAAAAXMXMAMMMSMMMAMAMMAMAAAMMSAMMSMMAXMMMMMXSASXSAMXAAASAMXAAMMMMSMXXXMMSAMMMAXASAAAAAAS
+MAXAMASXMMSMMMXXXXAMMXMSXAAXXAMMMMAMXSXMXMSMMSAMAMAMMMMMMMMAXSMXAXAAMXMSXSXMMMMMXSAMAAASAMXAAAMASAMAMAMSXXASASMMMSAAXMASMMSASMMMMSMMMMMMMSMS
+SMMMSAMMMAAMASAMXMXSSMMXMMSXMASAXMASAMMSXXSAAMAMXMAMAXSAXSSXSAXMASXMSSMMASMMXXXXAMMMMSMMASMSSSMMSAMMMSMMSSXMAMXAASMSMXMAAAMAMSASAMASAXXSAMAX
+AMAMMMMMMSMSXSAMXMAMAASMSMAMSSMMMSAMXSAMXAMMMSSMMMAXMSMMSMASAMXMMXMASXASAMXXAMMSXMASXXXSAXMAMXMMSAMXAXAAXXXMAMMSMXXMMASMMMMSAMXMAXAMSSXMAXSA
+MMXXAAXXMAMMXXXMAMAMMMMAAMAMXAAAMMXMAXASMMXAMXMMASMXMAMXAMMMXAMXMAMMMSXMASXMASAAAMXSAXAMASMMMAXXSXMMMSMMSMXSSXAXSMSMSAMAXXXXXMASAMXMAMXMAMMM
+XMASMSSXXMASAMSSXSXSMMMSMMMSSSMMSXMASXMXMMSMSMXMXSMAMASXMSXSXSSSMMSSMMMXMMXXAMXSMMSMMMXMAMASMMSMMXXMAAAXAAAAXMAXAXAAMMSSMSMMMMMMXSXAMSMMMSAS
+XSASXAXMSXAMASAAXSASXXXAMAAXAMXMSAXSAXAAAMAXSAMSASMSMASMAAAMAMAMSMAAAMAASMSMMSAMAXXAAXXMMXXMAMSAMXMMSSSMMMMXXMSSMMMSMMXMASAAAXAAAMMXMAXMXSAS
+XMASAMXAXMSSMMMSMSAXMXMAXSSMMMSXSAMAMSMMSMSMMSMMASAMMMMMAMSMAMMMAMSSMMMMSAAAMMXSXMMSMSXMASXSMMSSSXXAAAXAMXXMSAMAXMXMMSMMSMSMSSMSMAAMSXSXAMSM
+MMAMMXMXSAMAAMXXAMMMAASMMAMAXAMMMXMAXAAMMMXAXXXMAMXMAMXXSSXMXSXSMMXAXAXMMMMXMXMMMMAMXXMASXXAAASXMASMSSSMMMAMMASAMMMXAAMXMAMXMMMAMXXMXXAMMSAX
+AMAMSASXAXSSMMMMSMXXSXAXMAMMMMSXMAMXMSSMSASAMXXMXSAXAMXXXAXAMXAMXMXMMMXSAMXMSMAAAMASXMSMMMSSMMMAAXMAMAMXASASXMMAMAAMSXSASAMAXXMAXSMMMMSASMMM
+SXSXSASMXMXMAAXAXASMXMMASMXSAMXXMAMAXXAAMXMAAMAMASMSMSAMXMMSAMXMAMAXMAMSAMMAASMSMSXSAAAAAAMMSXSXMASXMSMSMSASAMAAMMXXMASAMASXMSSMMSAAAAXMSAAM
+MAMAMAMAAMXSSMSMXAMMAMXMAAMMMXMAXXSMSSMMMAMXSSXSAXXAAMAMXMAXAMMMXSAXMMMSMMSSXXXAASAMMSSSMSAAAXSAMXSAMAAAAMASAMSXSXSSMMMSMAXXAAAMAMMMMMSASMMS
+MAMAMXMSXXAMMASMMSMXASAXMMMASASAXMAMAXAASMSAMXAMXSSMSMAMSMMSAMAAXMXMXMAMXAAXXSAMXMAMAXAXMXMMXXSAMMMASMAMXMAMAMMAXAMAAXAXMMMMXSXMASMXSAMXMAMA
+MASMSSMASMASMAMAAXMMAXMXMASMMASAXSAMASMMSMAMMMXMAXXAAMAMMAXSASMXSAXSXMSMMMSMSASAXMAMMSMSMXSSXASAMXSAMXAXXMAMMSMMMAXXMMSSMAXXAXXSXSAAMMSASAMM
+SXXMAMMASMSMMMSMMMMMSMMASXSAMMMMMMXMASAMXMAMXXSSSSMSMSMSMMMSXMASMXMXMAAAXAAMSAXMASAXXAXAMSAMMMMMMXMASXXSXSASMAAMSMMSSXMAXXSMMXASASMXMXSMSXSA
+AMSMASMASMMASMSXSASAAASMSAMXMXAAXXAMXSXMASXSXMXAAAAXAAAAAXAXAMMMMAMAMSSSMMMXMAMMMSASMMSMSMAXXXMAMXXMMXAMXSMSMMXMAAMXMASAMXMMSMAMAMMSMASXMAMX
+SAASASMAMAMXMAMAXMAXXMMXMAMAMMAMMSMSMMXSXSMMASMMMMSMMMSMSMMSAMXAMAMXMAXAXSSMAXMXMXXMAAXXXMMMMSSMASXMAXMAMMAXAMXSAMXAMMMAMAXAXMMMXMXAXAXAAMXS
+MSMMSSMMSSMAMAMSMSXMSSMMASMXXMAAXAMXMXMXAXAXAMAAXXAASXMAXAXXXMSMSSSMMMMMMXAAMXSXSMASXMAMSASASAMAAXAMXXXMAMMMSMAMMMSMSMMSMSMMSMMXMMSMSMSXMXAX
+MXXMAXMMAAXMMAMXAXAXAAASXMASMSXSSMSXMAXMSMSMSSSMSSSXMAMXMXMAAXSAAXAMAXASXSMSMXSAMSXMASAAXAXMMASMXXAMAMSMSAXAXMMMAAAAAAMXAXAMAXAAAXAAAAMMSMMS
+AXSMSAXMSSMSSMMMMMXMMSMMAMAMAAAXAMMASXSAAAXXMAMAMAXSSXMASXMSMAMMMSXSSSMSAAXMMXMAMAMSAMMSMXMXSMMAMMAMASMAMMMMXMASMSXSXSMMXMSSSSSSSSMSMSMAMAMA
+MAXXMAXXAMXAAASAMXXAXAAMXMSMMMMMAMSMXMAXMSSMXAMXMAMMMAXAXAXMXMSAMXAMXAAMMMXMXMSXMSAMAMAXAMAMMAMAMSMMMXMAMXMSAMMSAXXAAXXMAXXXAAMMMAMMMMMXSAMA
+SMMMSAMMASXSSMMAAAMMMSSMXMXXMAMSSMXSASAMXAAMSMSXMASMSSMSSMMSAMAMXMSMXMMMXMMMAMSAMXXAAXMXSASASMMXMAMAXMMSSSXAMXMMAMMSMXASXSSMMMMAMAMXAASMSMSX
+XAAAMXXXMXMAXMSMMMXSAAXMXXMAMAMAAXAMXMASXSMMAMAMSASMAXAAAASXXSMSAMXAASAXAMAXXMMASAMXSAXAMMMMXXAXSASMMSAMXXAXMASMMMAXXSAMXAXXXASMSMSXSMSAMASM
+SSMSMSXSXSMSMMXXSAAMMMSMXMSMMAMSSMMSSSMMAXXMAXAMMXSMAMXXAMXMXXMAXXMXMXASMSSMSASASASAAMMXSMSXXMXMMAMXAMMSMMXMSXSAMXSMASMMMMMXSAXAAXXMMMMMMAMA
+XMAXAMAXMAMAMSSSMMMXSMMMMMAMSXMXAAXAAAXMXMXSASMSSMSMAMSMXSAMXAMSMSMXSXMXAAAASAMASMMMSXSXSAXXXAMSMXMMSMAAAMMXXASMMMXAXSASAASMMSMSMMMXSASXMASM
+MMAMAMMMXSAMXAMXAXSAXAMXAMAMMASMSSMMXMMXAAXMAMMAAAXMMXSAASMSSXMAAXMASAMMXMXMMAMAMXSXAASAMMMMXMMSASMAMMSSSMAAMAXASXSSXSAMSMSAAAMAAXMASXMASAXA
+AMAXSMXMAMMMMSSSMMAXXAMSSSMXXAMXAAAXSSMSXSAMAMMSMMMXSAMMMSAMAMMXSAMASAMAMSSSSXMASASAMXMXMAAAMSAMXMMXSAAXMASXMMXMMAMAAMMMXXSMMMSSSXMMSMSMMMSX
+SSMSMAXMAMXAAAMAMSAMSAMMASAAMSSMMSSMAAASAAMXXXAAAXXXMAXXXMMMMMSMXAMXSAXMAXAAMXXAMXSMMAAXMSMSSMXSXXXAMMMSXAMAAMSSMAMMXMASMASMMMXAMMSXSMAMAXAM
+MMMAMMMSSSXMXSMAMMAXXXMMAMMMXXAAAAAASMMMXMXSSMSSSMMMSAMXSMMASXAAMMXAMMMMXMMMMSMXXXXAXXSSXMAXAMSSMMMXXAXMMXSSMAAAMXXXXSASMMXAAXMXMAMXXMASMSMA
+XASXSXMAMMAMAXMASMMMMSXMXSXSXSSMMSSXXXXXMXAXAAAAMAAXMASMAXSAMMXXASMSXSASAAXSASASMMSSMXAAAMXMAMAMAXXAMSXSAXMMXMSMMSXMXMAMXXSXMSSMMSSMMSMXXAXM
+SMMMSXMAXSMMASXMSAMAXAAXMXAAXXXAMXMMMMSSSMSSMMMSMSSXSAMMMMMASMSMSMAAASASASXMASXXAXAAMASMSMASMMASMMMXSAASMXAAXMAXAXAMMMSMSMSAMXMAMXAMXAAMSSSS
+AXAAMASAMMXMXMAMXMSSSMMMAMXMMXSXMAAAASAMAAXXMAMAMXMXMAMAMAMMMAAXASMMMMAMAXAMXMAXMMXSAMAAAXXXASAXXAXMMMXSAXSMXSAMSSXSAAAXSAMXSXXSMSMMSMSMSAAX
+SSMXSMMASMAMMSSMXXAXXAAASAXXAMMMSSSSXMASMMMXSSSSMMXSXSSMXAXSMMMSASXMAMMMMSXSXSMSXMAXMSMSMSXSXMASMSSSXMAMMMXAMSASMXASMSSXSASASAAAAAMMXAMMMMMM
+MAXXAXSAMMAXMAXMMMMSSSXSAMXSXMXAAMMMMSMMXMSAMMAMXSMMAMAASXSMAAAMASASMMMAAXXMAAXAAMASXMAXASMSASXSAAAAAMAMAAMAMSMMMMMMXXMAMAMASMMMSSSMMMMASXSX
+SAMMAMXXSSSSMAMMAAAMXAXMXSASASMMSMSAAAMXSXMASMSMAMAMSMMMXMAXSMXSASMMSSSMXSAMAMSSSMASXMMMMMAMAMAMAMMMMSSSMSSSMSAMXASXSAMMMSMMMXAXAAAMASXMMAAS
+MASXMMXSAMXAMSMSXSMSMSMMAMMXAMAAMASMSXSAMASXMAMMMSXMXXXXMSAMXXMMMSXAAXAAASAMAXMAAMAXXMAAAMSMAMMMSMXXXXAAXMAMASXMSXSAMXSAAAAXAASMMSMSAMAAMXMX
+XMXAAAXXSMXAMXAMAXXMAMAMAXXMSMMSMAMXMMMMXAMXMXMAMMAMMXMMAMXMMMXAAXMMSSSMMSMMSSMMMSSMASASMSMXXSAAAXXMAMSMMMAXMXMXSMMMMAMMSMSMSSXMXXAMMMSMMAXX
+SMSMMMXXAXAXAMMMAMAXSSXMAMSAAAAXMXSAMAMSMSSSMMSSXMAAAAMMAMAAAMXMXXMAMAAMMXMAXAMXXAASXMAMXAXXXSMSSSXSAAAAXMMSMAMSMMAMMAMXMAXAXMAMASMMSAXXSXXX
+AAAXMASMAMSSSMXMASXMAMMMAAMXMMMXMASMAAAXXAAASAMAASXSMMSASMMXAMASASMSMSMMSAMMMMMSMSXMSMSMSMMAMXAXAAASXXMMMAMAMMMAXSASMMSAMAMMMSXMASAAMMSMMMSM
+MMMSMASMAMMAAAXSAXXAAXXMMSMSXXMXSAMXSMSAMXSMMSXSXMAXAAAMMMMMAMASASAAAAAASMSSSSXSAXXXAXXAXSXMAAXMMMMMXSSMSAMXSSSMXSASAAMXMSSXAMXMASMMXMAAAAAX
+ASAXMAMMMSMSMMMMASMSMXXXAAXXMASXMXSMXMXAMXXXMAXXMMXMMMSXMAMSSMXMXMMMSMMMSAAAAAAMMMASMMMMMSMXMMMAAXAMAMAASASMMMAXAMMMMMMMXAXMAMSAMXASASMSMSSS
+XAXXXXMAXSMXMMMMMMMAMXXSSSMMSSMAMMSAAMSSMMXSAMXSAASXSAMAMMMAAMMMMMAXMXMAMMMSMMXMAMMXAAAAMXAMXSASXSMMMSAMMMMAASXMSXSAXXASMMSXSAMMMSXMASAMAMXM
+MMSSXASXXMMAMAMAMXSXSSMXAAAASAMXMAMSXXAAASAMAXASXMAAMAXAMSMSSMAAXSAMMAMXSXMAXMSMSSXSXMXMSMMMAXMAMAAAAMMMAXXXMMSAXASMSSMMAXAMMMMAAMAXAMAMXXAM
+MXAMMAMXASXXXASASMMMXMAMMMMMSAMXMSMMSMMSXMASXMMSXMMSMMXSMXAAAXSSXMMXSAMMMASMMMAAASAMXSAMAAAMXSMMXSMMSSSSSSMMSAXSMMMMMAASXMMMSASMSSMMSMMMSMAM
+XMAXMAXMMMASMASASMXAAXSMXAXAMXMASXSAASMXMSXMASAMAAXXAAAMXSMMSMMXAAAASASXSXMAMSMMMSXMASASXSXSXXAMXMAMMAAXAAAAMAXAMAAAXMMMSAXAMXMAXAAAXAMAXMAM
+MSSXSXSAAAAMMAMXMXSSSSXAXMMSXXXXAXMSMSMMAXXMAMASMMMSMMXXAXASXMSSMMMMSMMMMXMAMMASAMAMAMAMXMAMAMSMMMAMMMMMSMMMMSMMSSSSMAAAXSMMSXMXSXMASAMXSXXX
+MAMXSAMMSMSSXAXMAXMAMMXXMXMXAMSSMXXAMXAMSMSMASAMAAAXMASMMMSMSAAXMAXXSMSMSAMMMSAMASXMAMSAAMAXAXMXMASMXXAAMMASAXMXAMAAMSMSSXXXAXSXSXSXSAMAMMXS
+MASMMAMAXAAAMSXSXSMAMSMMSXSMAMAAXXXASMSMAASXMMMSSMMSMAXAXXMAMMMSSMMMXAAASAXSAMXSXMAMAAMXXSSMMXSAMAMASMMSMXAMMASMMMSAMXXMAMAMMXXAXAMAMXMXSAXA
+SASASAMMSSMMXXAAASXXSAAAAAMSMMXXXSSMMMASMSMASXMAAAAAMSXMMMMAMAXAAASXMMMXMAMMAMXXASXMMSXSXAAAXMSAMAMASXMAXMXSXMSAMAMMXSMSAMXAXAMSMSMMMAMXSMSM
+MASAMMSMAXSXAMMMMMASXMSMMSMSMMMSMMASXXAXMAMXMXMSXMMSAMXSAXMASMMSMMMAAXMSMMMMXMMMMMMXXAAXMSSXXAMAMXSAMASASMMMAMSMMAXXSAAMASXMMXSAAXMXMASAMXXM
+MXMASAAMSSSMAMXSSMMMMAMAXXAXXAAAASAMXMAMSASMMXMMXSAMXXXSASXMSXAXAASXMMAAAAAMSXSAAMAXMMSMAXMASMXSMXMXSAMXSAASAMXXSMSMMAXSAMMSSXSMSMAAMMMXSMMS
+MSMMMXSSMMMXSXMSAMXMMASMMMMMSMMMXMASMXAMMAMXMMSAAXMAMXMMMMAMMMSMSMSXMXSMXMXXAAMSXSXAMAMMMMMMAAAXMSAXMMSASXMSAMXXMXXXAAMMASAAMAMAXXSMSMAMXXAX
+XAAMAMMXXAAAXAMXSMAXSASAMAAMAASMSSXMASASMSMAXAMMSSMSXMSAXSMMAAMAXAXASXXMSSSMMSMMMMMSMMMSAAXSMMMMAXSAASMASMXSXSSMMMXMMSSXAMMAMSMAMAXAAMMXMMSS
+SSSMASMMSMMMSAMSMXMMMASASMMSMSMXAAXAXAMXAXSMMSSMMAAAAMXSMAMMMSSSMMMXMMAXAAXMXAXSAMXXASASXMMMASXXMAMMXMMMMMMMXXXAAXAXAMMASXSXAXMXMAMSMSMMSAMX
+AAAMXMAAXAAXXAMAAAXAMXMAMXAMXMAMMMMSAAXMXMAMAXAXSMMMXMAXMAMXAAAMXSSMSSSMMXMSSMSASXMXAMASASXSMMSAMAXMSSMAAAAMMMSSMXSMSXSAMXAXMXSMMSXXXXAASAMX
+MSMMXSMSSXMMSSMMSMMASMMSMSSMMSAMXAAXMAAXMSMMSSMMSMASAMXSSMSMMMSMAMMAAAMASMXAAXAMAMAMXMXSMSXAAASXSSSMAMXSSMSAXAAAXAXAXXMASXSMMASAXMAMXSMMSAMX
+XXXSMAXXAAMXAMXXMXASXXMAMXAAASAMSMSMXSSSMAXSXAAMXSASAMAMAMMAMSAMXSMMSXSAMAMSSMMXAAMAASXSXXMSMMMMAMXMASXMAAAMMSSSMMMAMASAMMXAMAXXMASMMSAASAMM
+XMAXAMSMSMXAXAASMMMXAXXAMSSMMSAMXXMXAMXAXAXASMMSAMMSAMASAMSAMXAXMXAXXAMXSSXXXAXSMSMSMSASXXAXMXMASXXMMMAMMMXXXMAXAXMAMAMXMASMMXSSMAAMASMMSMMA
+SMMMSXAAAAXMSAMXAMXMAMSMXMAAAMMAMXMMMSSMMMMMXXAMASASXMXMXMSXSSSMAMMMMMMAMMSAXXMXAMMMAMXMAXSASMSMMXXXSSSMXSXMXXASXMSAMXSSSMMXSXAAMMMMASAASMMS
+SAMXASMSMSXMAMMXXMAAAAAXAXXMMMXMMMSAAMXMAXSXSMSSSMMXMSSSMXSAMAAXXXAAXMMMMAMXMSSMMSMMAMAMXMXASMASAXXXMAMMAMMMMXMAMASASAXMAASAMMSMMAAMMSMMMAXX
+SAMMMMXMMXAASMSMSSMSMSMSMSSSMSMSMASMXSAXAMSASAAXMAMSAMSASAMMMSMSXSSSMMASMAMAXXAAAAXMASXMSXMXMMAMMXAMMMMMXXAAAAMAAXSMMXXXSMMASMASXSXSMXMASMMM
+SMMXAAAMXSSMXAAAAMMAXAAAAAAAAAAAMMMSMSAMSMMAMMMXSAMASMSXMMSXAAAXAMXXASASXASXXSSMMASXXXMXMAMMMMXSXXMSAXXXXSSSSXSASASASXXMASXXMXAXXAASAXXMAMAM
+MAMSMSMSAMXSMMMMMSXMSMSMMMSMMMSMSAAAMMAMXASXXSXAMASMMXMSXXAXSMMMXMASMMMMMXSXAMXMMAXXXXMAMAMAMXMAMAMAMSAMXXMAXAXAMAMAXAXSAMMAMMXSMMMMAMSSSSMS
+MAMXMAXAMSAMXSSXXXAXSAMXXMMMMAAXSMSMMSAMSAMAXMMXSAMXMMMSXMMAMXSMAMAMAAMSMMMMMMASMASXMMSAXSSMSAASXSMAMSMSMSSMSMSAMXMMMSMMXMXMXSAAMSAMXMXAAMMM
+SSXSMSXMMMMSAMXASMMMMAMSAMXASMMXXAXXXSSMMAMXMSAMXMMASAASASXMSAASXMXSSMMAAASAXXAMXSAMXMAMXAAASMMXAXMSXMAAAXAAAAMXMAAXAAAMSMXSAMSSMMMXAAMMMSAS
+XAASAXXXAXXMMMAXXMSAMXMMASXMSAMMMXMMMMMXMXMAMMAMMXXAMMMXAMMXSMMMXMMAMXSSSMSASAXXXMXAXSASMXMMMMAMMMMMAMSMMMMMMSMAMSSMXSXXAAXMAMAMMASAMXSXXSAS
+SMXMASASMSMAXSMSXMAMSAMSAMMASXMASAAXSXMSSSMAXSAMASMSMSSMAMSMMSXAAXSMMXAAXXMAMAMSSSSXMMAMXSMSMMAXAAASAMXMSAAAXXXXMAXXAXXSMSMSMSAXSASAXAMAXMAM
+AAXMSMAAAXMXMASMASAASAMMSSMAMAMAXMXMMAAAAXMAXXMXMXAXAAAXMMXXAMXMMXMAMMMMMMMMMSMXAAAASMMMSAAXXSMSSSMSXSAXASXXMSXSAXXMMSAMAMAAASAMMASXMMMSMMMM
+MMMMXMSMMMSAXMASAMSMSXMAAXMAMSMSSSXAMMMMSMMSMSSSSMMMMMSXSASMSSSMSASAMAAAAXMAAMAMXMSAMASXXMMMMMAAAXAMAMMSMXSAAMASXSMXAMMMAMSMXMAMMAMXASAMAMAS
+XAAXAAAAAAMSSSMMXXXXXAMXMMXASMAXAMXSAMXXXAMXAAAAMAAXXAXMMASAMAMXSMXASXSSSSSMXSASXXMAMAMXAXMAAAAMMMASMMAAXAMMMMAMASASXSMSMMAXSAXMMASXXMASAMAX
+SSSSMMSSMXSAXXXXMMMSMMSAXSMXAMXMAMAMASXSSMMMMMXMXSMSMMMMMAMAMAMXMXSMMMAMMMMAMSASXSMXMASXSMSXXSSXXMXAXMASMSSSMMASMMAMAAAASAMXMAAXXMAXXMASAMMS
+AAXAMXXAASAMXMMSAXAXAASAMXMAASXMMMXSAMMMAXXAAMASAMXXAAASMMSXSASMMAXAAMMMAMMAMMAMAAXASXSAMXAMMMMMSMSMMMMXMMAAXSMSAMXMSMMSAMXXMAMXXMASXMXSXMSA
+MMMMMXMAXAMXMSASMMMXMMSMMAXXMMAAXAAMAMMXMMSSMSASAMMSMSMSAAAXSAMAMAXSMMXSAMXAXMAMXMSASAMXMMASAAAAAXAXAXMASMSMMSXSMMXMXXXMASXMXMSXSMASASAXMXXM
+MSAAXSMMSAMAMMAMXAMAXASAMMXSAMSMMXMSSXSASMMAAMXMAMAAAMXMMMSMMAMSMSXMASXSASMMXSASMXMAXMAMXMASMSMSSSMXSASASXMAXXMXMXMASXSMAMAXMASAAMXMMMAMSMAX
+SSMSXSAAXXMASXSXSASMSASAMAAMAMMMSXXXAASAMXMSMMSSMMXSAMAXSAMXMMMXAXASAMAMXMAMAMMMAXMAMMAMAMMSAXXMMXXAXXMAMXMSSSMSXXAAXXXMASXMASMMMSSMXMSAASXM
+XXAAMMMMSMSASAXAMAAXMASAMMSSMMMAMAMMMMMAMXAMXAAAAAMMAMXXMASXMMSMXMASAMXMASMMMSSSSSMAMSASXSSMMMASASASMSMSMSAAAAAMMMMMSMMMASAMSXAXAAXMAAXSMSXM
+MMMMAAAXAMMASMMXMSMSAMXXXXAAASMAMXMASXSSMMSMMMSSMMMSAMSXSAMXAAAAASXSAMXSASAAXAAAAAXAMSAMAMXAMSXMASAMSXAAAMMMSMMMAAAXXMASXSMMASMMMSASMSMAXMMS
+XMMXSMSMMSMAMXXXXXMAMSAMXMSSMMSMSASMSXXAXAXXMAXXMSAMXXXXMASAMSMSAMXSXMAMXSXMMMSMSMMMMMAMAMSSMMMMAMAMAMSMXMXXMXMASMMSAMXAASAMXSXXXXMXAMMAMXSX

2024/d05/ex1/ex1.py

@@ -0,0 +1,48 @@
+#!/usr/bin/env python
+
+import collections
+import sys
+
+Graph = dict[int, set[int]]
+
+
+def solve(input: str) -> int:
+    def parse_ordering(input: str) -> Graph:
+        graph: Graph = collections.defaultdict(set)
+        for l in input.splitlines():
+            lhs, rhs = map(int, l.split("|"))
+            graph[lhs].add(rhs)
+        return graph
+
+    def parse_updates(input: str) -> list[list[int]]:
+        return [[int(n) for n in line.split(",")] for line in input.splitlines()]
+
+    def parse(input: str) -> tuple[Graph, list[list[int]]]:
+        ordering, updates = input.split("\n\n")
+        return parse_ordering(ordering), parse_updates(updates)
+
+    def validate_update(ordering: Graph, update: list[int]) -> bool:
+        for i in range(len(update)):
+            for j in range(i + 1, len(update)):
+                lhs, rhs = update[i], update[j]
+                if lhs in ordering[rhs]:
+                    return False
+        return True
+
+    def get_middle(update: list[int]) -> int:
+        assert len(update) % 2 == 1  # Sanity check
+        return update[len(update) // 2]
+
+    ordering, updates = parse(input)
+    return sum(
+        get_middle(update) for update in updates if validate_update(ordering, update)
+    )
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d05/ex2/ex2.py

@@ -0,0 +1,60 @@
+#!/usr/bin/env python
+
+import collections
+import copy
+import functools
+import sys
+
+Graph = dict[int, set[int]]
+
+
+def solve(input: str) -> int:
+    def parse_ordering(input: str) -> Graph:
+        graph: Graph = collections.defaultdict(set)
+        for l in input.splitlines():
+            lhs, rhs = map(int, l.split("|"))
+            graph[lhs].add(rhs)
+        return graph
+
+    def parse_updates(input: str) -> list[list[int]]:
+        return [[int(n) for n in line.split(",")] for line in input.splitlines()]
+
+    def parse(input: str) -> tuple[Graph, list[list[int]]]:
+        ordering, updates = input.split("\n\n")
+        return parse_ordering(ordering), parse_updates(updates)
+
+    def validate_update(ordering: Graph, update: list[int]) -> tuple[int, int] | None:
+        for i in range(len(update)):
+            for j in range(i + 1, len(update)):
+                lhs, rhs = update[i], update[j]
+                if lhs in ordering[rhs]:
+                    return i, j
+        return None
+
+    def get_middle(update: list[int]) -> int:
+        assert len(update) % 2 == 1  # Sanity check
+        return update[len(update) // 2]
+
+    def fix_update(ordering: Graph, update: list[int]) -> list[int]:
+        # The graph has cycles, so using a topological sort is out
+        # Instead just swap the wrong pages until we fixed the update
+        update = copy.copy(update)
+        while (indices := validate_update(ordering, update)) is not None:
+            lhs, rhs = indices
+            update[lhs], update[rhs] = update[rhs], update[lhs]
+        return update
+
+    ordering, updates = parse(input)
+    invalid_updates = filter(functools.partial(validate_update, ordering), updates)
+    fixed_updates = map(functools.partial(fix_update, ordering), invalid_updates)
+
+    return sum(get_middle(update) for update in fixed_updates)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d06/ex1/ex1.py

@@ -0,0 +1,99 @@
+#!/usr/bin/env python
+
+import enum
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+class Direction(enum.StrEnum):
+    UP = "^"
+    RIGHT = ">"
+    DOWN = "v"
+    LEFT = "<"
+
+    def step(self, p: Point) -> Point:
+        dx: int
+        dy: int
+
+        match self:
+            case Direction.UP:
+                dx, dy = -1, 0
+            case Direction.RIGHT:
+                dx, dy = 0, 1
+            case Direction.DOWN:
+                dx, dy = 1, 0
+            case Direction.LEFT:
+                dx, dy = 0, -1
+
+        return Point(p.x + dx, p.y + dy)
+
+    def turn_right(self) -> "Direction":
+        match self:
+            case Direction.UP:
+                return Direction.RIGHT
+            case Direction.RIGHT:
+                return Direction.DOWN
+            case Direction.DOWN:
+                return Direction.LEFT
+            case Direction.LEFT:
+                return Direction.UP
+
+
+class Guard(NamedTuple):
+    pos: Point
+    dir: Direction
+
+    def patrol_step(self, blockers: set[Point]) -> "Guard":
+        next_step = self.dir.step(self.pos)
+        if next_step not in blockers:
+            return Guard(next_step, self.dir)
+        return Guard(self.pos, self.dir.turn_right())
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> tuple[Guard, set[Point]]:
+        guard: Guard | None = None
+        blockers: set[Point] = set()
+
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                if c == "#":
+                    blockers.add(Point(x, y))
+                    continue
+                guard = Guard(Point(x, y), Direction(c))
+
+        assert guard is not None  # Sanity check
+        return guard, blockers
+
+    def patrol(guard: Guard, blockers: set[Point], dims: Point) -> int:
+        max_x, max_y = dims
+        positions = {guard.pos}
+        while True:
+            if not (0 <= guard.pos.x < max_x):
+                break
+            if not (0 <= guard.pos.y < max_y):
+                break
+            positions.add(guard.pos)
+            guard = guard.patrol_step(blockers)
+        return len(positions)
+
+    lines = input.splitlines()
+    guard, blockers = parse(lines)
+    max_x, max_y = len(lines), len(lines[0])
+    return patrol(guard, blockers, Point(max_x, max_y))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d06/ex1/input

@@ -0,0 +1,130 @@
+.........................................#.....#..##.....................#...........................#.....................#....#.
+..................#................................#..#.................................#................#........................
+.....##.........#..#........#......#............#.....#..................#............................#...#...#..#...#............
+#..#...#....#...#.................................#.........................................#...............................#.....
+.................##...................................................#.........................#....................#............
+.............#.............#...................#...................#..................................#....#..#........#....#.....
+..#.........................................................................................##....#.................#.............
+...........#.........#.....#..#.................#...........##..........#....#....................................#........#.#....
+#...#.........................................#..........................................................#........................
+.............................................#................................#...............................##..........#.......
+......#....#..............#..........................................#....#........................#...................##....#....
+........#.#..............................#..#.............#.......#............................................................#..
+....#...............#...#..#......#...........................#........................#...........#...#...................#......
+..........................#...........##....#.......................................#..........................#.#................
+....................#.........................................................#........#..........................................
+..............#.............#.##.............#.........#..........#.......................................#...#.........#..#......
+...............................................................#..........#........#.........#.............#.............#........
+............#.................#...................#....#......................................................................#...
+.......#....##....#......##.........#...........................................#....................................#.........#..
+......#...#......................#............................##....##....................#.......................................
+...................................##....................#.............................#........................#.................
+..........................#.#.........................#..........................................................#................
+.............#...#..........................................................#..#.#.#.....#....#.....#...................#........#
+....#......#.............#...#......#.........#............##..................#.......................#..........................
+.......................#.....#...................................#..........................#.....................................
+#.....##....................................#.....#.....................................................#....#....................
+............#...#...................................................................#.........#......................#............
+................#....................................#.....#.........#.........#..............#...................................
+..........................................................................................#.....#.#...#.........#.......#.........
+#.............#..............................................#...#.#..#.....................#...#............#.#...#..............
+..........................................#..................................................................#...#................
+.........#.............................................#................................#.................#.....#................#
+........................................................................................#.......#.....#..........#..........#.....
+...........................#.......#......#..........#............#...............#........#...#......#...........................
+...##...................#.................................#..................................##...................................
+........................................................#.#.#.....#............................##................#................
+......................................#....................#..................#...#.............................#...........#.....
+.............................#...#.................#.............................#..............#.................................
+#.....................................................................................................................#..#.....#..
+...........................#..............................................#................................#....................#.
+......#..................##................#....................#.............................................................#..#
+.................#....................................................................................#...........................
+....#.#..................................#..#........................##...#.............................#..............#..........
+...............................................................................................................#...#.....#........
+..#...................#.......................#........................................................................#..........
+..#............#......................................###.........#..............................#..........#.................#...
+.................................#..........................................................................#............#........
+......................#...#...............#..............................#.......#........................#...........#........#..
+..#..................#............................................................................#......#........................
+..........................................................................#....#........#...................#.............#.......
+..............#.........#.#............................................................................................#..........
+........................#...#............................................#..............................#.........................
+.........................................#...................................................#........................#...........
+...#.................................................#..........#.............................#.....#.#.........#.................
+............................#...........#...............................................................#........................#
+..........................#..#..................#....................................#..................#.......................#.
+......#...................#..............................#........#.##..........................................................#.
+...........................#.....#.............................................................................#..................
+..............#........................................................#.#.......#...#................#....#......................
+...#...#..........................................................................................................................
+..........##.....................#.#.............#...............................#.........................................#......
+.#.#...................#.................................#.................................................#....#.................
+........................#..............................................................................................#.......#..
+...#....................................................................................................#.....##.....#............
+.............#........................#.....................................................#.............#....................#.#
+#........................................................................................#.....#..................................
+........#..............#...............................#.......#...................................#..........#...................
+.....................#.........................#.......#.......#.....#...........................................................#
+...............#.....................................................................#..........#.................................
+.................................#....#..........#..............................#...........#............................#........
+..............#......#.........#...#.............#.......................#....#...................................................
+...........................................................^.......................................................#..............
+..........#...............................#.........................#.....................................................#.....#.
+.##.....................#....................#.....#.......................................................#..##...#..........#...
+.......................#...........#..#.#.....................................................#....................#..............
+..................................................................#......#.............#..................................#.......
+.#............................................#........................#...................................#.........#............
+..................................................................................#.##.........................#..................
+................#........#...........................................#...................................#........................
+...............#........#....#...................#................................#........#.....#..........#.................#...
+.....#.............................#..........................................................................................#...
+............#..............#.....#........................................#............#............##..........#.................
+........................................................................................#..........................#........##....
+..#............................#...#.................................#....#..............#........................................
+...#.....................#...........................................................................#.....................#......
+....#.........................#.............#..................................#.........#..............#.........................
+.....................#...................................................................................#..#......#..............
+.....#.................................#...............................#.....#..........#.........................................
+............#........#..........#....................#....................#..#.#.....................................#............
+........................................#......#......................#......................................#..#.......#.........
+...#...........#...............#.................#.............................................#..........#...#...................
+.......#....##..............................#......#.......................#..................#..........#.................#...#..
+.................................##...........................................................#....#..........#.#........#........
+..................................#....##..#..#.......#............................#............#.#........................#......
+..........................................#.....................................#.............##...#............#.................
+....#....................#................................#....#..#.....................#................#...#..#..#..............
+.............#...#..............................................................................#.................................
+..........#..........................#.......................................#....................#..#.......#.........#.....#....
+......................#............#...............#.....#.................#...............................#...#....#.........##..
+..........................................................................##.............................#...#..............#.....
+#.#...#..................................................#..................................#..#...#..............................
+...........................................#....#..............#.........................#........................................
+...........#....................#.....................##........................#.....#...................................#....#..
+..........#..........#.................................................#...............................................#..........
+.....................................................................................#......#.....................#.#.............
+........#.#..........................#...............................................................................#............
+..............#..#.............#...........#......................#....#..#......#...................#............................
+........#.......#.................#........#..........#.....................#.........................................#...........
+..........................................................#...................................#.....#.........#......#...#........
+..........#.....#.....................#............#............#.#......................#....#.##.............#...........#......
+...#.#..#.......#......#........#...........................#....................#.....#.........#...........#.................#..
+........#.......................................#............#.............#..................#......#......#...............#.#...
+....................#.....#........#.........................#.................................................#................#.
+.......#..#...........................................#......#..................#..#......................#..#....................
+#.#........#....#...#.............................................#............................#.....................#............
+#...................#...........#...................#..#................................................................#.#.......
+............#...#.#...........#..#.....................................................................#........................#.
+...#..............................................#..............#......#...#..............................................#......
+................#...#..#..................................................................................................##...#..
+.............................#...#..#........#.........#...#...................#............................................#.....
+............#......................#.......................................................#.#....................................
+...#......................#......#.#...........................................#.....#....#......................#...#............
+.....#..#..........#.............................#..........................................#............#..................#.....
+.................#...#.......................#..................................................#....................#............
+............#..................................................#.....#..............#.......#.............................#.#....#
+........#.............#..#.......................................................................................#.........#......
+......#...................#..........................................................#................#................#.........#
+..................#...........................#.....#....#.......................................#..#......................#......
+....................#....................................#....................#........#............#........#....#...............
+.........#..............#....#.............................#..#..........#........#.....................#.#.........#.............

2024/d06/ex2/ex2.py

@@ -0,0 +1,116 @@
+#!/usr/bin/env python
+
+import enum
+import itertools
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+class Direction(enum.StrEnum):
+    UP = "^"
+    RIGHT = ">"
+    DOWN = "v"
+    LEFT = "<"
+
+    def step(self, p: Point) -> Point:
+        dx: int
+        dy: int
+
+        match self:
+            case Direction.UP:
+                dx, dy = -1, 0
+            case Direction.RIGHT:
+                dx, dy = 0, 1
+            case Direction.DOWN:
+                dx, dy = 1, 0
+            case Direction.LEFT:
+                dx, dy = 0, -1
+
+        return Point(p.x + dx, p.y + dy)
+
+    def turn_right(self) -> "Direction":
+        match self:
+            case Direction.UP:
+                return Direction.RIGHT
+            case Direction.RIGHT:
+                return Direction.DOWN
+            case Direction.DOWN:
+                return Direction.LEFT
+            case Direction.LEFT:
+                return Direction.UP
+
+
+class Guard(NamedTuple):
+    pos: Point
+    dir: Direction
+
+    def patrol_step(self, blockers: set[Point]) -> "Guard":
+        next_step = self.dir.step(self.pos)
+        if next_step not in blockers:
+            return Guard(next_step, self.dir)
+        return Guard(self.pos, self.dir.turn_right())
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> tuple[Guard, set[Point]]:
+        guard: Guard | None = None
+        blockers: set[Point] = set()
+
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                if c == "#":
+                    blockers.add(Point(x, y))
+                    continue
+                guard = Guard(Point(x, y), Direction(c))
+
+        assert guard is not None  # Sanity check
+        return guard, blockers
+
+    def loops(guard: Guard, blockers: set[Point], dims: Point) -> int:
+        max_x, max_y = dims
+        visited: set[Guard] = set()
+        while True:
+            if not (0 <= guard.pos.x < max_x):
+                break
+            if not (0 <= guard.pos.y < max_y):
+                break
+            if guard in visited:
+                return True
+            visited.add(guard)
+            guard = guard.patrol_step(blockers)
+        return False
+
+    def count_obstructions(guard: Guard, blockers: set[Point], dims: Point) -> int:
+        res = 0
+        max_x, max_y = dims
+        for x, y in itertools.product(range(max_x), range(max_y)):
+            candidate = Point(x, y)
+            if candidate in blockers:
+                continue
+            if candidate == guard.pos:
+                continue
+            if not loops(guard, blockers | {candidate}, dims):
+                continue
+            res += 1
+        return res
+
+    lines = input.splitlines()
+    guard, blockers = parse(lines)
+    max_x, max_y = len(lines), len(lines[0])
+    return count_obstructions(guard, blockers, Point(max_x, max_y))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d06/ex2/input

@@ -0,0 +1,130 @@
+.........................................#.....#..##.....................#...........................#.....................#....#.
+..................#................................#..#.................................#................#........................
+.....##.........#..#........#......#............#.....#..................#............................#...#...#..#...#............
+#..#...#....#...#.................................#.........................................#...............................#.....
+.................##...................................................#.........................#....................#............
+.............#.............#...................#...................#..................................#....#..#........#....#.....
+..#.........................................................................................##....#.................#.............
+...........#.........#.....#..#.................#...........##..........#....#....................................#........#.#....
+#...#.........................................#..........................................................#........................
+.............................................#................................#...............................##..........#.......
+......#....#..............#..........................................#....#........................#...................##....#....
+........#.#..............................#..#.............#.......#............................................................#..
+....#...............#...#..#......#...........................#........................#...........#...#...................#......
+..........................#...........##....#.......................................#..........................#.#................
+....................#.........................................................#........#..........................................
+..............#.............#.##.............#.........#..........#.......................................#...#.........#..#......
+...............................................................#..........#........#.........#.............#.............#........
+............#.................#...................#....#......................................................................#...
+.......#....##....#......##.........#...........................................#....................................#.........#..
+......#...#......................#............................##....##....................#.......................................
+...................................##....................#.............................#........................#.................
+..........................#.#.........................#..........................................................#................
+.............#...#..........................................................#..#.#.#.....#....#.....#...................#........#
+....#......#.............#...#......#.........#............##..................#.......................#..........................
+.......................#.....#...................................#..........................#.....................................
+#.....##....................................#.....#.....................................................#....#....................
+............#...#...................................................................#.........#......................#............
+................#....................................#.....#.........#.........#..............#...................................
+..........................................................................................#.....#.#...#.........#.......#.........
+#.............#..............................................#...#.#..#.....................#...#............#.#...#..............
+..........................................#..................................................................#...#................
+.........#.............................................#................................#.................#.....#................#
+........................................................................................#.......#.....#..........#..........#.....
+...........................#.......#......#..........#............#...............#........#...#......#...........................
+...##...................#.................................#..................................##...................................
+........................................................#.#.#.....#............................##................#................
+......................................#....................#..................#...#.............................#...........#.....
+.............................#...#.................#.............................#..............#.................................
+#.....................................................................................................................#..#.....#..
+...........................#..............................................#................................#....................#.
+......#..................##................#....................#.............................................................#..#
+.................#....................................................................................#...........................
+....#.#..................................#..#........................##...#.............................#..............#..........
+...............................................................................................................#...#.....#........
+..#...................#.......................#........................................................................#..........
+..#............#......................................###.........#..............................#..........#.................#...
+.................................#..........................................................................#............#........
+......................#...#...............#..............................#.......#........................#...........#........#..
+..#..................#............................................................................#......#........................
+..........................................................................#....#........#...................#.............#.......
+..............#.........#.#............................................................................................#..........
+........................#...#............................................#..............................#.........................
+.........................................#...................................................#........................#...........
+...#.................................................#..........#.............................#.....#.#.........#.................
+............................#...........#...............................................................#........................#
+..........................#..#..................#....................................#..................#.......................#.
+......#...................#..............................#........#.##..........................................................#.
+...........................#.....#.............................................................................#..................
+..............#........................................................#.#.......#...#................#....#......................
+...#...#..........................................................................................................................
+..........##.....................#.#.............#...............................#.........................................#......
+.#.#...................#.................................#.................................................#....#.................
+........................#..............................................................................................#.......#..
+...#....................................................................................................#.....##.....#............
+.............#........................#.....................................................#.............#....................#.#
+#........................................................................................#.....#..................................
+........#..............#...............................#.......#...................................#..........#...................
+.....................#.........................#.......#.......#.....#...........................................................#
+...............#.....................................................................#..........#.................................
+.................................#....#..........#..............................#...........#............................#........
+..............#......#.........#...#.............#.......................#....#...................................................
+...........................................................^.......................................................#..............
+..........#...............................#.........................#.....................................................#.....#.
+.##.....................#....................#.....#.......................................................#..##...#..........#...
+.......................#...........#..#.#.....................................................#....................#..............
+..................................................................#......#.............#..................................#.......
+.#............................................#........................#...................................#.........#............
+..................................................................................#.##.........................#..................
+................#........#...........................................#...................................#........................
+...............#........#....#...................#................................#........#.....#..........#.................#...
+.....#.............................#..........................................................................................#...
+............#..............#.....#........................................#............#............##..........#.................
+........................................................................................#..........................#........##....
+..#............................#...#.................................#....#..............#........................................
+...#.....................#...........................................................................#.....................#......
+....#.........................#.............#..................................#.........#..............#.........................
+.....................#...................................................................................#..#......#..............
+.....#.................................#...............................#.....#..........#.........................................
+............#........#..........#....................#....................#..#.#.....................................#............
+........................................#......#......................#......................................#..#.......#.........
+...#...........#...............#.................#.............................................#..........#...#...................
+.......#....##..............................#......#.......................#..................#..........#.................#...#..
+.................................##...........................................................#....#..........#.#........#........
+..................................#....##..#..#.......#............................#............#.#........................#......
+..........................................#.....................................#.............##...#............#.................
+....#....................#................................#....#..#.....................#................#...#..#..#..............
+.............#...#..............................................................................#.................................
+..........#..........................#.......................................#....................#..#.......#.........#.....#....
+......................#............#...............#.....#.................#...............................#...#....#.........##..
+..........................................................................##.............................#...#..............#.....
+#.#...#..................................................#..................................#..#...#..............................
+...........................................#....#..............#.........................#........................................
+...........#....................#.....................##........................#.....#...................................#....#..
+..........#..........#.................................................#...............................................#..........
+.....................................................................................#......#.....................#.#.............
+........#.#..........................#...............................................................................#............
+..............#..#.............#...........#......................#....#..#......#...................#............................
+........#.......#.................#........#..........#.....................#.........................................#...........
+..........................................................#...................................#.....#.........#......#...#........
+..........#.....#.....................#............#............#.#......................#....#.##.............#...........#......
+...#.#..#.......#......#........#...........................#....................#.....#.........#...........#.................#..
+........#.......................................#............#.............#..................#......#......#...............#.#...
+....................#.....#........#.........................#.................................................#................#.
+.......#..#...........................................#......#..................#..#......................#..#....................
+#.#........#....#...#.............................................#............................#.....................#............
+#...................#...........#...................#..#................................................................#.#.......
+............#...#.#...........#..#.....................................................................#........................#.
+...#..............................................#..............#......#...#..............................................#......
+................#...#..#..................................................................................................##...#..
+.............................#...#..#........#.........#...#...................#............................................#.....
+............#......................#.......................................................#.#....................................
+...#......................#......#.#...........................................#.....#....#......................#...#............
+.....#..#..........#.............................#..........................................#............#..................#.....
+.................#...#.......................#..................................................#....................#............
+............#..................................................#.....#..............#.......#.............................#.#....#
+........#.............#..#.......................................................................................#.........#......
+......#...................#..........................................................#................#................#.........#
+..................#...........................#.....#....#.......................................#..#......................#......
+....................#....................................#....................#........#............#........#....#...............
+.........#..............#....#.............................#..#..........#........#.....................#.#.........#.............

2024/d07/ex1/ex1.py

@@ -0,0 +1,38 @@
+#!/usr/bin/env python
+
+import operator
+import sys
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> list[tuple[int, list[int]]]:
+        return [
+            (int(value), [int(n) for n in numbers.split()])
+            for value, numbers in map(lambda l: l.split(": "), input)
+        ]
+
+    def solvable(target: int, numbers: list[int]) -> bool:
+        def helper(current_value: int, current_index: int) -> bool:
+            next_index = current_index + 1
+            if len(numbers) == next_index:
+                return target == current_value
+            if current_value > target:
+                return False
+            for op in (operator.add, operator.mul):
+                if helper(op(current_value, numbers[next_index]), next_index):
+                    return True
+            return False
+
+        return helper(numbers[0], 0)
+
+    equations = parse(input.splitlines())
+    return sum(value for value, numbers in equations if solvable(value, numbers))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d07/ex1/input

@@ -0,0 +1,850 @@
+187418: 8 1 32 1 3 7 700 2 6 8 9 9
+51480079: 88 650 9 8 1
+45694842: 2 9 227 6 1 5 4 382 1 5 2
+324153: 4 6 165 26 2 8 9 3 50 9
+28501243947: 66 18 84 68 6 926 78 7
+20763: 8 9 7 123 308 2 2 709
+1275: 40 5 6 75 1
+769249: 1 47 4 4 3 9 49
+464700680640: 94 7 26 7 917 9 6 5 392
+501133472: 3 901 3 9 3 979 557 15
+1408080699: 2 93 35 12 4 5 87 48 64
+257184: 4 68 8 6 116 72
+381878965: 727 5 1 56 28 6 67
+625: 79 5 41 488 13
+1382535550: 8 91 1 5 66 931 4 470
+543135657: 7 649 5 9 7 71 979 7
+69632: 7 51 8 2 963 8 6 3 701 9
+4087: 1 3 576 2 7 7 10 6 9 592
+6351: 21 298 4 2 84 3
+15702: 7 1 419 36 366
+89661885: 8 112 1 585 25 8 84
+266450902950: 65 7 59 2 57 968 9 9 71
+194394: 194 366 28
+972: 6 29 546 1 390
+1833720: 1 6 4 6 4 9 6 4 4 2 777 5
+7263349: 9 84 780 93 4 9
+94534: 781 12 8 9 797
+258695989: 582 14 4 246 129 421
+1371: 187 9 440 9 726
+1403130963: 45 547 2 6 4 8 70 22 2
+5172: 1 28 3 88 3 4 94 642 6
+240988525: 5 865 441 5 21 382 3 2
+212541850: 6 4 84 927 5 3 813 73
+9096239: 890 67 4 1 9 95 84
+482781: 635 1 1 95 8 5 8 5 7 58 7
+4540643307: 5 4 5 898 5 5 92 9 9 8 3 6
+46738900180: 976 706 17 58 57 4 70
+259616: 312 207 6 314 4
+174270594: 544 745 4 43 21 1
+23194043: 773 3 3 9 1 43
+2838182357: 28 381 81 1 1 357
+557952: 9 62 80 9 62 6 36 7 3 7 8
+82653627132: 8 507 7 6 565 6 5 6 7 6 3
+917397714: 9 173 97 71 4
+63564: 846 1 75 48 65 1
+16152750: 714 7 795 99 26 5 1 99
+64418: 6 86 4 4 92 7 18
+96932098: 5 46 19 320 98
+412070765: 318 3 4 69 5 313 3 2
+1986: 990 3 2
+10295: 6 3 940 826 687 322
+143356: 3 98 4 9 7 6
+264829968: 293 12 106 7 543 9 3 3
+73800979: 10 5 3 1 46 8 9 28 4 6 9 8
+2804772: 6 600 892 39 9 8 8 2 4 6
+300031: 8 3 55 545 31
+20008369743: 8 330 6 82 4 2 5 6 4 7 5 6
+13396057557: 8 76 91 17 220 4 4 7 7
+116812844776: 96 59 477 3 7 982 85
+1197286087823: 9 829 9 3 3 2 87 3 4 2 9 7
+288934843: 4 13 212 33 43
+12097735: 1 120 884 93 35
+2323: 4 7 129 250 654
+4452928: 18 97 1 472 24 82
+3693500: 9 825 56 494 4 89
+230650225261: 863 1 96 8 4 87 3 5 8 5 9
+6471: 76 73 898 8 17
+1137: 5 2 47 297 786
+368741: 8 458 113 2 1 3 7 1 90 2
+347319: 447 9 69 816 259
+6153742: 8 4 2 9 7 5 1 344 7 1 71 2
+2300212040: 6 7 7 7 55 15 727 15 56
+217743931: 24 3 234 718 18 379
+1143073502: 216 84 7 167 9
+1447474: 516 7 4 9 165 6 3 7 839
+24175: 481 3 8 49 70
+1198210: 69 633 7 2 845
+3200: 8 50 8
+7529214347: 376 46 5 34 9 40 387
+23264072: 279 730 556 4 83
+58517605: 959 305 61
+3694797: 647 68 9 47 51
+98762746: 7 980 6 27 46
+675: 3 6 4 7 15 30
+3302: 7 94 25 93 47 1 630 6
+50372628: 7 943 16 9 92 2 9 9 5 4 4
+546760284: 60 9 134 67 84
+48336753: 69 24 90 33 175 3
+327848: 6 607 90 8 60
+1099845: 461 9 60 39 45
+2913111: 5 726 190 8 761
+215712: 1 9 9 8 7 7 3 8 7 8 225 7
+187980: 2 9 32 2 23 78 2
+28105: 1 373 3 74 207
+13669642: 17 8 6 964 2
+7519900: 695 56 98 99 1
+52373979: 62 253 34 7 9 543
+244520658: 8 39 1 922 3 7 9 8 5 2 4 4
+761166846259: 702 80 5 73 375 271 9
+1710191: 6 84 90 95 27 164
+108219300: 6 669 5 3 4 8 96 3 7 2 7 5
+83418128640: 752 9 3 2 3 6 8 99 9 4 4 9
+31892804: 39 3 73 81 67 4
+42680000: 4 268 4 50 50
+23479827: 4 984 35 679 7
+210060261: 206 3 21 84 73 7 289 1
+3177: 47 3 71 5 457
+902503660: 6 44 763 56 93 6 254 7
+30198724521: 7 8 9 2 9 47 2 379 45 2 2
+2163: 746 2 19 85 518 49
+954304: 2 1 2 3 2 40 3 7 950 52 8
+5835456294: 30 7 48 396 292 2
+43320718: 456 95 2 8 4 434
+3308760: 5 302 5 42 52
+5796: 9 92 7
+25910231829: 3 67 706 3 1 832
+878427678805: 92 26 1 1 81 50 952 6
+1473321: 71 2 635 30 5 2 6 4 1
+8400848504: 9 6 96 56 84 8 2 3 100 4
+49322159387: 13 2 8 92 7 3 5 8 6 7 8 7
+684519833: 7 61 4 519 836
+191600640: 8 8 540 528 42
+311237: 631 9 486 9 8 15 165
+951160: 9 3 983 5 9 1 77 8 7 5 2 5
+59041208704: 98 4 6 11 987 99 9 6 8
+354018: 72 3 1 59 124 118 3 7
+35886127: 3 87 3 92 2 1 5 4 603 9
+701625: 77 9 8 62 3
+136802924: 958 425 7 7 2 3 2 47 1 4
+71282596: 6 54 22 259 6
+245520: 385 71 4 5 528
+3517169040: 8 5 5 8 125 7 530 7 9 76
+7792441765301: 778 7 2 7 9 2 365 9 4 14
+607622809527: 5 6 48 8 36 730 9 52 5 2
+842: 9 22 5 2 7 9 4 43 3 8 1 30
+1173375: 7 4 2 3 225 7
+3650074: 2 84 12 328 977
+3812606: 9 8 8 23 28 151 2 7 8 86
+17360: 3 820 1 7 3 18 3 4 1 7 1 2
+12405: 16 1 9 86 20 1
+66919866641: 211 8 6 44 5 9 8 7 9 1 4 1
+8013364: 58 157 88 8 4
+185974: 7 48 4 54 8 59 1 3
+565292571: 896 29 33 123 590
+471460: 556 24 7 116 500
+9804900: 24 54 270 87 70 46 7
+425: 2 9 6 25
+512403750: 9 91 84 6 625
+7303840435: 730 383 36 68 35
+44385941654: 45 63 8 215 364 2 1 50
+17793072: 1 86 3 2 406 28 517 9 4
+68567808019: 6 2 192 8 370 19 16 3
+16224908: 4 970 9 7 596
+9437: 5 938 7
+386334417: 696 6 94 59 3 2 3 4
+4935770786: 4 7 52 8 9 8 1 49 5 1 7 86
+926168190738: 9 260 7 7 2 26 1 90 738
+1086806: 7 5 51 5 656 80 6
+2131: 274 7 96 46 71
+3560: 20 70 840 60 591
+545: 4 11 9 379 79 1 63
+4101: 3 1 6 5 352 574 8 2 2 3 2
+40731: 93 86 503 991 690 4 3
+16841473152: 94 52 4 96 763 47
+404950: 71 83 419 77 623
+3500596447460: 1 323 6 7 7 58 2 9 7 46 2
+199362631126: 7 7 56 28 4 1 26 31 126
+1298121: 6 8 781 3 7 5 1 5 309 7 5
+33750: 30 3 34 90 57 33 3
+1048524: 29 69 524
+28241257580297: 713 5 978 5 81 802 97
+688232: 60 2 8 2 598 9 5 4 79 9
+4970: 9 1 8 1 7 2 60 8 5 460 3 7
+38071: 791 368 7 79 30 721
+20128402: 2 48 2 6 482 80 9 59 23
+97596756600: 435 466 95 724 7
+6525364319935: 3 684 636 863 987 5
+437787903: 8 114 4 4 91 9 9 3 8 9 1 3
+1457: 3 3 44 4 1
+293090: 5 241 283 6 53
+619297: 52 9 92 9 4
+962292: 765 10 95 31 478 4
+648387: 36 28 83 2 3 3 34
+466433: 424 110 3 3 1
+6967: 4 102 1 8 6 9 8
+3396540: 242 61 140
+3561767: 12 400 7 99 726 11
+979543: 1 8 7 250 87 260 3 6 2 5
+27988800000: 5 25 700 4 952 4 21
+133389: 241 6 54 3 6
+9533672: 89 631 25 479 69 514
+24714: 1 86 26 507 3 9
+9455893049: 28 5 7 7 888 6 3 4 2 4 1 9
+1224: 4 8 36 485 671
+2058747: 4 7 378 1 9 524 2 4 8 1 1
+8122: 5 47 60 205 2
+23657723657: 6 32 183 51 94 23 63 8
+1238563682: 618 2 4 5 32 6 5 9 4 6 82
+7039053: 9 367 213 366 3
+144999092: 8 8 31 41 2 9 96 87 2 9 9
+3416010: 400 854 2 2 5
+307549178: 782 6 9 5 5 963 3 3 683
+344179424889: 46 2 5 737 4 2 48 8 8 1
+55345590: 366 120 7 1 20 710 9
+38358188702684: 9 5 89 8 4 3 7 740 537 5
+7063729304401: 569 183 973 77 881
+12816555: 762 92 2 3 3 10 1 410 5
+9621: 94 2 21
+70948948: 6 4 1 9 8 178 1 4 6 264 2
+411358: 423 97 791 36 2
+3369019540: 56 617 2 975 7 38 41
+1504080630: 39 5 62 1 207 601
+779137845564: 37 101 8 21 3 1 5 564
+5800032: 309 677 4 6 98
+4168816845: 6 78 89 36 160 8 4 5
+2911: 4 5 56 2 255 31 385
+1142856906: 8 1 5 4 3 1 6 8 55 1 900 6
+5823576: 56 604 34 86 2
+6608969236: 5 5 6 2 86 3 3 1 3 9 236
+1328554651: 4 1 324 74 80 648
+4947149: 9 3 4 102 43 9 71 9 5 6 3
+239760188: 6 2 2 2 40 6 6 92 3 4 9 92
+1891987951: 4 2 82 465 5 33 968 7
+933744: 42 445 9 3 71 158 7
+15774: 556 3 578 7 5 44 3
+2945: 2 9 716 4 28 9
+392802448878: 6 98 5 5 4 4 1 70 4 1 93 6
+5644947: 3 26 1 2 80 40 9 112 35
+1490: 1 7 638 69 2 5 41 8 5 1 1
+210990: 8 63 99 4 30
+121980885: 3 27 1 271 5 9 3 9 1 9 5 3
+7300117: 79 8 15 13 769
+108410439: 542 2 10 1 350 89
+5184867: 948 53 94 103 53
+1127: 6 74 638 2 399 8
+455827: 91 5 827
+61760955: 9 49 4 4 2 71 80 5 433
+191368: 7 5 2 8 5 7 791 7 3 4 2 2
+567544412088: 963 9 736 76 39 8 88
+12146752: 709 2 3 8 76 1 28 5 9 7 6
+885889: 8 42 9 347 3
+1106: 43 67 6
+7202952: 405 8 5 355 2
+20562: 284 610 23 1
+191497654329: 824 50 83 9 1 7 28 2 9
+2808193: 767 4 1 61 5 1 3 52 3
+133955535: 3 8 2 601 818 1 2 7 645
+6752263840: 5 4 6 4 8 5 314 7 8 5 7 4
+313500: 469 4 56 11 6
+1110: 14 1 74
+15488: 95 4 1 26 2 6 7 3 5
+35418: 11 723 47 5 915
+391535: 7 403 953 1 486 319
+1388084: 724 71 27 92 65 7 3 9 1
+44009264785064: 55 137 833 73 813 3 8
+18867200: 3 4 99 7 6 8 383 51 8 16
+9612421: 6 2 34 6 553 7 362 959
+8117920: 267 4 11 691 52
+294154650: 29 409 6 46 49
+189788268: 3 18 4 6 65 6 38 1 6 5 6 3
+1676757: 75 4 69 81 51 6
+605176: 7 34 61 506 4
+539081638393: 33 146 33 974 506
+419239: 610 9 245 8 73
+21401: 7 5 57 5 26
+240460: 9 74 2 15 4 6 29 221 55
+153678511980: 7 204 810 542 237 7
+16223812320: 7 7 6 279 7 597 57 80
+175564935: 2 84 8 14 11 38 9 5 403
+6048: 5 2 7 29 91 4
+675100: 61 8 11 316 628
+1155949124: 477 411 8 76 737
+94353: 31 58 52 857
+1128071: 393 5 8 6 6 59 333 248
+4621214: 2 639 901 1 79 31 2 4 6
+26092259600: 53 195 2 981 280 50
+182162: 11 253 91 7 1 6 99 5 2
+4452230: 138 6 7 8 9 12 1 8 29 2 7
+314085244: 9 88 419 166 946
+2291933389799: 5 472 3 7 47 72 3 831 2
+1637032: 433 52 912 646 1 68
+8505: 3 6 929 96 31 17
+1051: 4 5 75 352 24
+53861: 91 51 712 33 1
+12176325: 6 3 773 9 5 35
+53550: 414 9 99 7 2
+76978: 2 84 50 8 4 44 66
+166020482: 73 1 8 684 41 2
+2994024: 19 816 8 3 56 5 8
+531: 9 2 39 7 89 6
+534784472: 2 3 1 9 95 9 60 58 3 4 72
+584932732319: 29 31 89 6 5 65 1 72 19
+4514: 9 35 11 58 45
+49509809: 76 41 91 983 2 87 21 2
+1404717811: 8 8 16 4 2 756 717 811
+2687382: 3 10 4 4 90 2 91 6 863
+339914973856: 713 68 41 37 26 7 435
+296058: 3 4 3 1 5 33 8 2 8 38 1 7
+67488804: 89 745 8 6 94
+1252695: 9 92 6 9 5 8 8 1 2 4 63 3
+27424: 8 47 60 8 925 1 99
+1943363853992: 1 200 2 46 8 5 159 88
+6294075553: 2 892 5 1 34 5 191 5 7 3
+9476: 1 2 37 338 23
+5001673: 4 2 2 3 5 9 8 2 7 991 4 92
+19: 10 1 1 4 5
+465093: 75 2 74 94 7 9 9 2 4 8 5 9
+1369373: 898 471 3 73 1
+1525: 23 2 61
+41257: 4 1 1 2 57
+6264: 30 96 7 7 6 84
+321300: 3 435 1 7 31 6 1 5 7
+1368: 98 57 2 6 4 9 971 68
+784450040: 9 76 199 62 2 374
+6835209: 9 1 436 905 2 8 6 5 206
+362124546: 88 29 796 7 8 9 2 2 9 2 3
+126885: 5 9 63 72 7 19 3
+5676536: 3 3 945 44 664
+29555174: 875 281 36 5 6 710 4
+1809145007: 289 626 497 3 7
+64764: 7 8 2 3 2 7 7 5 5 676 86 6
+327240: 12 594 3 9 1 20
+3945066: 9 73 5 6 65
+86424: 4 5 567 848 2 731 24
+52286469: 3 1 489 9 82 4 4 9 637 8
+4251579: 457 7 556 2 64 65 59
+229770: 65 60 874 46 5
+2700: 1 7 96 3 3
+198787972: 4 3 5 6 68 5 2 45 4 2 5 2
+10115: 77 5 231 5 5
+4303635: 1 14 782 9 69 595
+2678: 20 9 7 81 1
+145017912744: 99 4 783 107 9 47 93 9
+13034369: 5 7 43 6 5 3 375 49 4 73
+989: 84 92 8 5 687 94 7 8 4
+53545060811: 80 4 85 84 8 99 7 4
+230081372: 8 2 49 651 7 6 4 1 4 9 7 2
+58091386: 56 5 1 7 3 222 4 8 3 158
+48204: 3 461 91 333 47 26
+58448887252: 7 175 22 66 486 52
+197235: 410 9 48
+22386781689439: 956 7 65 6 2 8 6 943 9
+119340: 9 5 52 51
+563562323: 8 5 7 903 79 5 79 14 9
+52547762: 724 8 9 2 6 7 29 4 2 6 6 8
+227057993908: 99 6 26 82 199 192 52
+2700292479: 1 925 1 9 50 3 84 383 3
+119784: 7 3 2 79 7 6 6 6 20 53 1 5
+217977480: 91 3 6 8 2 980 81
+9559: 828 56 65 3 66
+134739247559: 10 8 4 6 4 9 1 3 9 675 59
+1284754815: 594 56 590 8 5 2 9 335
+6090685515: 2 60 2 758 9 8 4 5 87 9 5
+1352574963: 1 69 69 17 7 97 1 843 9
+2936812726: 42 4 6 174 317 2 716 7
+21: 2 7 4 2 6
+166409: 6 2 268 24 9
+322: 122 9 4 143 44
+4538: 450 1 33 4
+1862003: 2 9 302 215 610 449
+86940: 85 9 10 3 8
+38072: 6 613 4 15 4 692
+99725486: 6 12 6 6 6 6 65 25 478 8
+13750: 53 2 439 27 412
+7038816: 57 6 65 7 80 9 3 454 8
+2855136: 6 620 8 570 543 33
+146592: 84 7 160 2 67 924
+569936: 7 5 621 4 4
+740: 20 53 1 7 659
+70911: 5 2 8 66 2 9 1 4 8 1 4 511
+64728: 3 66 6 93
+265592: 440 6 7 2 545 6 967 2
+1497366612: 2 53 9 78 513 63 7 404
+61277: 150 5 1 2 9 5 2 48 8 1 7 5
+3346539: 8 82 5 42 7 3 59
+3365893552180: 12 995 7 28 7 37 180
+1009: 6 15 53 50 885
+127008: 83 7 894 37 84
+562032713741: 3 869 174 21 199 59
+987527: 34 61 3 9 385
+19712100: 735 4 530 84 25
+26901: 303 117 1 4 3 63
+15116264: 9 8 75 48 25 2 457 7 68
+204191226: 3 89 1 2 4 2 8 8 3 9 327 6
+5198984: 8 3 8 6 9 72 994 4 526 7
+11382: 759 1 164 7 868 6 594
+504391: 852 73 848 8 39
+530085603: 30 558 984 5 9 2 5
+624: 9 2 136 475 2
+3629563236: 359 2 247 54 379
+395873445: 9 227 47 8 9 3 2 2 5 687
+552102: 5 77 20 567 4 18 8 551
+76000078085: 47 2 33 7 7 2 156 5 85
+132685: 9 46 2 386 7 96 7 6 4 9
+10372: 3 5 1 9 47 189 2 2
+20543565: 978 2 65 3 7
+1472385558: 5 7 6 340 794 7
+14144491524: 44 2 64 983 5 24
+2692998: 48 1 19 63 638
+1252924947: 9 5 869 534 7 1 6 697
+4716: 12 98 1 3 4
+2496938: 3 41 7 725 9 4 2
+1235912: 7 3 99 4 217 49 92 76
+2481026: 30 810 510 18 8
+287777439: 74 83 411 2 3 1 57
+6343360: 2 6 7 72 76 688
+77516: 1 1 75 479 37
+3030894: 8 7 6 1 2 4 71 29 4 2 6 40
+5048088466: 80 631 8 765 7 71 6 30
+359727: 897 80 5 923 4
+74387040000: 50 52 80 5 13 393 7 2
+220838337605: 65 48 56 44 760 1 76 5
+25607876: 595 532 43
+33263: 524 4 63
+2233205: 956 6 4 389 348
+49713: 115 54 9 4 4 86 2 5 864
+6057554870011: 931 7 9 189 8 55 903 1
+933697: 3 833 1 93 913 4 3 42
+10924942: 780 353 14
+284929536: 3 4 4 3 98 94 861 92 6
+6695: 7 914 191 1 7 3 86 9
+6245883: 9 989 85 62 6
+30: 7 3 9
+10155582722: 755 6 35 8 3 2 4 2 30 8 4
+10213731200: 5 4 576 94 262 88 80
+234673837: 41 81 31 4 7 5 831 6
+324941866: 7 8 7 7 365 27 2 6 1 81
+145341868: 995 4 961 6 38
+2637745: 8 2 828 7 199
+17982455851: 64 2 4 2 9 222 5 7 4 6 1
+9608793: 574 956 628 4 8 381
+719687: 71 9 6 80 7
+48985815113: 85 571 450 8 151 11
+4889892: 8 3 15 9 3 428 1 8 7 4 1 7
+1505669220: 88 648 947 77 8 9 6 30
+2127186: 818 91 468 3 9 5 8 58
+4029145071: 15 562 37 64 45 3 287
+79038: 48 661 1 2 707 2 981 9
+50824: 50 7 1 2 4
+3007: 79 29 5 6 2 9 8 778 72 7
+97461: 25 779 5 81 5
+72103770: 6 1 827 5 378 66 7 8 9 9
+10958: 307 747 41 7 1
+20287324856: 7 5 97 1 79 3 6 92 1 9 5 4
+169639: 2 68 2 1 83 8 95 5 154
+4596255180: 1 67 6 67 55 1 8 3
+95786: 425 259 28 5 26
+42269125: 80 6 331 22 4
+293888: 4 2 4 2 821 54 425 4 7 8
+5203652120: 2 260 36 52 120
+214028823995: 9 7 889 2 670 7 1 9 9 5
+46785931: 9 5 104 6 7 59 8 5 32 8 3
+1249: 3 183 78 584 38
+39642467328: 73 27 10 3 3 984 667
+33264275: 22 782 2 3 5 73
+138424899: 9 68 143 89 9
+70342494: 195 958 61 9 447 47
+194789: 83 3 782 50 21
+183549: 6 40 399 7 2
+68052: 6 51 553 9 649 5 2 9 53
+14620480: 6 7 1 905 1 6 8 8 369 8 8
+3453258: 89 388 58
+17724262883: 35 92 24 1 8 2 8 688 1
+10296335: 7 22 23 9 62 57
+930: 913 11 6
+1528389206: 198 7 907 4 822 218
+684211: 6 9 76 7 596 6 570 23
+3953055575502: 7 6 7 10 4 7 3 860 4 476
+235864: 2 35 864
+342199842: 46 6 70 4 41 37 6 6 2 3
+38875005: 620 627 6 94 5
+47902: 717 6 2 40 13 432 8 4
+3437568326: 2 4 8 2 9 373 10 4 8 6
+71911489: 7 5 38 258 633 233
+116689560: 681 2 5 571 6
+13336633: 66 535 516 3 33 43 97
+2561353: 1 5 2 472 41
+7100813: 998 73 78 85 83
+9016487158: 1 915 3 3 9 3 8 94 49 5 8
+231873894863: 2 98 42 2 777 863
+17802929988398: 456 79 167 49 972 49
+205498: 8 9 2 3 56 48 4 3 3 3 622
+53767644: 537 673 5 4 290
+64823081: 4 8 1 546 742 390 5 4 7
+224054: 257 30 7 9 29
+4381459: 84 3 629 5 9
+156092264318: 26 60 92 264 319
+4835710: 112 7 5 2 9 521 1 9 6 5 7
+2097368646: 9 961 2 9 299 4 9 18 5 6
+5199015150: 4 1 529 40 234 15 7 6 5
+2263449: 7 236 8 2 9 8 8 3 245 9
+17923542: 2 12 2 91 92 702 44 2
+1822830370: 4 619 7 451 14 8 394 8
+787528: 423 7 8 9 44 3 1 1 667 2
+2861205060: 1 5 86 5 18 7 917 76 51
+2139301: 80 347 23 77 10
+78: 31 33 14
+1938: 1 1 1 68 101 7 2 9 6
+439607545: 6 29 378 3 1 904 1 481
+21129: 704 3 9
+1581: 848 1 21 649 1 62
+2662: 68 3 62 2
+3026494946287: 8 57 4 1 57 8 189 9 86
+146835081730: 339 7 1 96 2 20 9 2 6 9 9
+54568804: 1 65 99 848 4
+344196191: 65 802 3 62 78 22 75
+6009142314: 4 852 1 77 5 533 7 654
+2293044: 902 37 6 407 6
+66217250: 8 327 12 68 256 9 242
+7449: 10 105 7 23 76
+713: 73 50 586 1 3
+8396761070: 691 9 821 3 5 9 9 5 8 56
+84093834: 76 226 4 612 59 3 3 2 8
+8021: 24 3 293 87 23
+4588059: 8 55 5 8 547 1 6 4 2 27 3
+896: 3 6 96 7 8
+203856: 117 9 49 83 2 2 6
+1755: 5 5 6 56 19
+94983133313: 91 4 9 6 9 2 71 611 3
+36501584: 421 59 200 84 76
+2739260160: 83 8 78 3 60 67 32
+11431577: 4 85 4 54 86 8 74 57
+3904975: 762 183 28 451 36
+1061781890400: 1 90 712 99 797 210
+104260: 218 2 8 71 451 26
+12831: 231 3 479 96 793 8 8 7
+1867: 249 621 9 9 24 955
+2736990: 52 56 9 19 3 930
+7372456: 13 3 9 5 55 158 676 41
+13995957291847: 87 86 655 4 838 852 7
+262752: 7 755 9 180 6 8
+116756: 60 85 8 86 665 5
+21520534503978: 2 25 8 1 883 953 4 978
+20702160: 65 72 7 8 45
+47451357: 15 6 1 3 4 4 603 108 9 3
+90184: 892 1 6 91 4
+522977087: 6 8 8 35 75 5 5 9 76 6 5 3
+19773: 938 46 2 9 3
+591448: 96 8 611
+151932: 9 6 8 7 300 6 997 7 3 2 6
+677133: 55 94 96 7 17 8 15
+62605459434: 236 75 5 33 5 4 2 6 609
+1134716637: 5 134 4 814 576 8 51
+203685: 138 7 885 22 3 8 3 5 5
+411259430463: 7 60 4 988 2 7 384 7 6 3
+69479410: 6 28 93 7 8 23 711 631
+36480513: 747 4 5 10 488 73
+6529930114: 98 37 398 638 110 1
+3158302: 8 32 7 4 688 78 3 1
+1329: 956 213 6 95 59
+103528339432: 4 38 9 5 1 5 6 9 887 536
+26058526: 86 1 69 6 3 7 155 75 3
+16637174616501: 60 5 9 577 2 88 3 4 3 52
+496403648: 24 10 1 419 8 617 8
+70983429060: 234 1 5 20 1 6 8 5 8 5 60
+18430386766: 7 5 42 7 776 198 55 34
+4336513875: 7 869 534 1 3 15 89
+146733: 2 179 8 8 6 300 99 15
+719431: 1 418 7 4 4 7 4 5 8 35 6
+123489453: 1 235 650 2 9 89 47 87
+1817054297589: 6 40 395 5 4 297 592
+28112657546: 48 73 71 58 113 6
+3698184: 79 871 389 268 4
+33904566: 8 359 3 95 2 97 9 4 3 6
+3749036750: 37 4 903 6 750
+9653520: 2 28 2 5 57 584
+64502825: 7 9 20 171 8 60 5 65 5
+258198671: 2 6 840 55 551 7 1
+7876133: 9 9 32 46 963 718
+795924: 8 31 3 51 873 48
+25961153: 58 89 55 630 17 9 2 6 5
+7689010: 83 6 602 699 9
+37694322: 5 57 3 329 134 775 17
+370720500: 7 6 371 8 767 1 14 606
+396636777: 67 6 965 6 4 7 3 29 7
+683362696: 68 33 62 6 96
+176659289957: 8 2 3 57 824 8 899 57
+942096: 6 830 74 2 5 4 2 1 93 6
+139897: 50 6 4 5 466 3 86 8
+25310524: 842 9 835 4 4
+284646313: 7 2 858 677 4 623 5 4 7
+182325: 361 418 3 75 7 6 6 75
+55: 3 2 9 35 5
+2383002: 384 31 62 73 207
+5783478945: 61 2 9 15 7 14 8 351
+6822681600: 8 840 490 56 37
+4081902: 9 88 7 5 2 10 7 506
+499758: 1 27 41 426 326
+129: 53 7 61 3 5
+4093163: 940 75 4 8 3 8 7 5 6 317
+1735787709: 4 7 39 10 8 4 8 5 35 5 1 9
+1466379: 6 8 8 1 4 3 6 5 625 6 25 9
+1132930: 2 44 81 8 2 3 19 2 6 6 2 8
+813082430: 2 9 2 27 72 5 616 486 5
+39761608992: 8 3 1 5 9 4 7 9 942 476 4
+183663: 3 17 407 9
+290472: 52 7 798
+26524378336980: 2 7 808 977 3 92 8 980
+130466560295040: 778 533 9 98 816 190
+4905495936: 4 11 17 93 808 99 8
+593640: 492 5 5 1 2 3 39 9 6 30
+6233: 9 12 68 7 6 2 1 5 3 16 41
+36038: 9 476 863 7 9
+128815: 1 2 88 15
+1864323072: 202 292 9 128 8
+9950315: 52 4 938 51 3 8
+501726: 5 476 303 187 5
+92280: 922 27 2 9 42
+76472: 661 208 88
+61014: 1 97 1 629 1
+17078477400: 1 44 4 5 128 308 2 5 3 8
+376022848: 21 760 1 4 224 6 56 8
+6639080646: 945 3 2 7 7 99 881 643
+116944: 4 3 7 38 81 6 3 8 1 441 7
+230277087093: 319 430 9 801 93
+1043119420033: 4 31 6 1 4 341 2 350 35
+17346278: 6 45 69 9 157 545 18
+2901672: 2 287 1 16 72
+117015525: 5 1 8 594 4 9 97 6 3 3 55
+48944038: 539 9 71 608 5 703 26
+51469483: 113 965 472 217 26
+35344593648: 7 54 7 822 238 549 78
+9385011: 938 493 5 9 22
+8666140861: 5 6 6 1 4 44 60 6 6 1 8 5
+5300472946: 692 5 31 762 948
+25608: 87 4 3 24 552
+308240474597: 770 6 5 8 429 45 5 9 2 5
+16439885: 2 8 822 3 50 651 5 77
+544500: 8 22 253 37 26 4 2
+30379565: 3 903 1 5 323 1 9 565
+41656: 144 47 794 31 41
+24807: 48 7 63 7 552
+3485: 499 4 74 6 23
+839060: 1 27 1 35 5 7 9 3 7 6 1 25
+23088: 9 9 33 42 148
+9154663: 4 817 311 8 7 91 6 63 1
+90682288496: 7 577 8 5 20 1 6 748 6
+43937079: 5 770 7 89 91 4
+29472: 614 6 8
+11561778226: 2 6 6 4 34 9 9 963 2 2 2 6
+117144416: 317 8 8 6 6 8 39 8 1 956
+2462640: 3 8 15 2 9 7 5 8 4 7 930 8
+6991816: 6 2 867 3 4 5 7 8 1 35 4 9
+10813: 12 76 14 37 576
+5764467: 90 94 9 8 5 2 68 92 9 4 2
+20995047250: 5 814 4 6 7 9 4 4 7 9 2 50
+340676: 492 32 5 92 7
+460049: 9 8 839 39 5 69 4 8 2 7 8
+39360102: 46 101 5 7 845 2
+632489040: 632 48 896 1 73 6
+4515: 73 1 4 5 15
+22440: 4 8 21 663 561
+34573: 26 2 65 77 3
+1205424: 3 48 930 2 4 1 4 2 4 1 9
+2288024: 4 6 411 9 92 7 5 56 6 8
+7166740: 5 62 4 980 103
+43925184: 68 7 767 23 8 8 1 2 6 2 8
+73957520: 8 4 6 1 3 4 440 67 560
+4497072: 449 6 858 3 211
+379852098: 65 68 68 3 29 7 9 6 1 2 6
+7039622942269: 7 491 357 4 6 9 683 84
+59297832: 83 895 586 9 11 8
+3222143: 98 427 77 4 1
+2706396: 2 7 4 9 9 8 5 5 8 3 85 609
+54899: 9 40 5 8 99
+15470567600: 423 6 737 988 9 1 6 4 4
+414459045: 640 8 468 369 3 13 35
+28680: 286 73 7
+148225337: 5 63 394 6 5 4 4 922 7
+1548: 8 9 20 83 25
+52488: 55 4 5 8 81
+309758831546: 7 4 3 4 39 7 4 3 145 1 8 8
+45710059: 2 77 5 38 5 17 26 89 7 8
+110968: 3 8 9 4 5 435 3 4 32 1 1 5
+296175877: 2 3 124 9 3 2 46 71 6 55
+183182295: 3 6 31 82 295
+18032285875: 733 246 26 459 875
+2252773168103: 6 690 743 91 370 3
+208683: 90 1 303 531
+5905: 5 83 9 4 59 3
+2547957588: 2 135 6 7 9 4 5 57 5 87
+864108: 10 525 233 204 889
+2632797169: 9 5 78 52 578 3 5 71 2 2
+3861135: 17 94 6 330 91 42
+279877248: 98 69 966 503 72
+4321455138000: 567 4 611 20 75 693 3
+109506168: 771 73 43 3 9 5 8 896 9
+131686680949: 2 344 6 55 3 632 1 950
+11285568: 42 3 622 48 3
+7429: 6 7 35 15 5 4
+1344632850: 6 81 825 986 19
+1349: 12 9 23 866
+135629: 52 4 5 3 5 6 17 4 6 39 65
+109541641: 772 1 665 3 705 71
+36454: 32 11 847 33
+18256000: 79 4 792 326 64
+634608: 9 784 13 13 8
+2149222: 391 7 54 21 1
+1020512181: 8 89 9 3 3 4 40 80 1 8 9 3
+778156485: 6 21 5 4 2 7 23 663 9 5 3
+4983272739052: 280 5 530 11 920 4 73
+4161: 72 44 925 60 8
+2507022432: 4 489 6 9 8 2 8 8 90 2 8 2
+650605: 9 12 629 60 5
+2092992: 85 1 3 991 24
+26902: 9 2 3 74 6 5 42 9 8 123 2
+15599: 4 151 98 1
+41225189: 8 16 1 91 44 429 5
+1473989040: 7 228 6 1 30 32 920
+61866: 20 28 934 3 21
+570190125: 471 99 1 90 128
+16235927: 6 26 35 731 992 855
+21528: 565 2 1 2 1 8 1 9 6 66 6
+43993993848: 6 2 8 95 805 62 28 5 1
+26706275149: 4 60 451 2 58 6 5 42 8
+1011: 52 7 635 6 6
+299093: 9 8 2 4 7 8 4 9 4 5 5 867
+833382: 6 3 6 23 671
+14505768: 2 97 268 3 93
+4923890: 93 61 526 4
+48105: 751 4 16 3 38
+1414794: 70 38 16 61 251 11 6 3
+38616996: 4 79 68 791 2 3 6 999
+1904796000: 39 8 606 4 9 546 999
+147334: 9 732 65 44 22
+34232: 7 31 598 42 2
+12270967818: 27 722 9 885 5 2 3 8 8
+9264135: 3 451 441 25 6 4 13 5
+45507450163: 45 496 11 450 163
+91440: 4 41 6 916 5 48
+88344832: 882 4 8 38 8 41
+287671639: 985 29 202 1 1 56 7 2 4
+507668: 911 8 804 90 4 70 20 8
+394114: 19 837 51 434 7 469
+77382: 5 9 5 55 29 4 9 3 3 7 30 8
+9957630062: 56 9 310 73 2 291 7 3 2
+10296: 7 98 3 1 6 84 3 735 9
+295260: 7 2 18 9 84 1 39 3 19 6 7
+4701: 20 57 34 2 2 2 1
+3848560: 28 4 8 7 72 8 359 20 4
+16949608: 7 1 3 413 8 6 3 42 8 2 5 8
+31453576: 53 1 2 33 580 21 77 8
+314611: 33 9 24 86 773
+15245: 6 2 1 2 5 5 4 6 89 9 853 5
+7265: 1 7 7 6 8 1 7 669 3 4 6 63
+548073: 9 88 282 20 669 324
+62260835: 2 971 916 9 35
+835164: 30 4 3 513 44
+19800544: 440 45 1 136 407
+33392435588: 73 829 54 739 9 746
+9119277: 4 1 433 39 2 6 1 1 2 5 9
+2473338468: 2 4 24 446 155 3 3
+3391904: 5 42 291 248 8
+4854: 89 310 738 77 4
+7990517: 1 659 3 2 747 8 6 61 5
+27168: 195 80 8 6 16
+356592: 9 7 6 9 7 152 11 45 57
+803: 3 2 792 3 2
+7324966325691: 7 8 327 4 12 3 814 2 3 4
+4348464: 87 238 35 34 6
+78: 1 31 1 46
+2333: 395 903 8 93 9 2 923
+17413920: 1 730 95 8 2 580 2 9
+121371: 6 2 1 1 7 693 57 1 8 35 3
+52915920: 201 2 263 2 54 66
+4205: 1 6 82 9 6 722 4 3 5 3 5
+102938: 2 8 7 70 62 1 157 73 8
+64212990: 15 423 269 5 109
+2891: 2 24 4 15 11
+7707154: 411 954 4 1 7 1 3 6 7 94
+83830: 1 40 2 3 27 7 24 2 6 62
+342729: 7 83 272 14 9
+55247775: 541 851 8 16 41 15
+4259: 5 73 7 5 4 5
+13394887: 4 7 2 2 6 5 58 783 7 6 2 7
+904: 4 2 727 80 91
+7641038: 485 1 8 860 516 6 18 2
+2359540874: 2 546 3 8 6 36 71
+833: 42 62 1 14 7
+1581: 4 60 857 1 1 7 477
+225893352782: 225 893 35 278 2
+19077: 40 9 28 247 58
+1026671144: 5 46 3 74 8 359 8 7 69 3
+398072: 44 3 635 56 3
+15469480: 409 1 539 35 90 2
+1809270: 8 331 48 85 55 45
+2627552: 4 7 26 3 6 25 2 2 8 7 5 2
+6983: 1 950 1 70 6 9 4 844 1
+864439333: 8 98 80 439 330
+7739: 857 9 14 4 8
+527424: 5 19 6 32 67
+178358491551: 242 66 42 758 968 3 1
+23466: 4 60 4 1 2 1 166 8 5 379
+8865: 1 788 193 3 9 3
+25531136601: 2 55 311 36 601
+1435774: 8 84 27 578 18 4
+6228: 4 878 7 7 5
+1642: 3 8 3 4 2
+38584000: 8 6 4 2 41 6 95 2 4 8 875
+24723940: 209 31 477 9 8 4
+2116117: 697 3 2 6 7 23 425 36 6
+3124451126: 26 3 11 12 78 4 6
+86185: 879 9 4 4 6 66 8 9 1 853
+35383157110: 2 1 792 31 43 730 7
+1658134437620: 7 3 5 233 465 44 2 485
+43437081675: 5 713 216 2 176 77
+800998632: 7 3 214 4 54 246 378
+5200: 8 9 463 9 8 377
+33760: 67 2 3 2 5
+1120091: 63 5 55 37 344 8 11 16
+140: 1 47 92
+5721882: 42 49 29 2 469 82
+34206: 37 6 77 9 2
+121: 29 3 76 9 4
+4941531369: 91 54 22 5 53 137 1
+3463558642: 28 13 87 971 1 63 8 4
+31093720: 66 7 5 73 6 1 4 910 840
+52280: 5 1 75 7 847 8 8 62 40
+3272268: 59 5 644 459 701 4
+35454732: 7 7 984 5 32 3 9 69 37 2
+450758928: 51 4 59 2 8 8 4 195 2 24
+36492: 364 1 86 1 6
+34656285942: 83 93 1 51 2 9 3 54 223
+326592350: 8 36 5 81 40 5 70
+3808350: 6 3 623 19 8 8 675
+611496: 9 626 28 3 36
+415429: 373 436 513 1 412
+6713332057: 97 3 884 5 46 57
+3383861896801: 1 81 38 1 955 5 6 9 77 1
+140384: 3 5 5 970 47 3 33 761
+1916: 5 6 4 4 9 7 2 1 4 342 2
+17252: 5 11 140 63 3 5 76
+10500: 5 35 2 1 30
+1593745: 54 868 34 1 2 2 92
+307311: 8 376 8 68 2 42
+60696: 89 75 61 8 9
+76288046546: 13 6 4 9 5 7 303 6 1 2 14
+9273613: 92 73 613
+335922: 331 2 2 37 3 84 50 9 51
+17043713: 44 220 1 98 132 8 64
+1755720677: 48 77 180 2 677
+763: 42 250 7 1 463
+4841686083: 60 23 90 24 88 90
+7945523600154: 895 166 1 764 70 15 4
+292513: 2 25 91 64 1 852 460
+44328197: 73 877 3 29 962 2 3 12
+4732438201: 5 87 4 2 77 2 6 700
+1690422050730: 2 600 86 8 216 76 2 5 7
+73303: 35 74 8 31 1 1 9 3 9 1 52
+2929506: 1 9 186 175 6

2024/d07/ex2/ex2.py

@@ -0,0 +1,41 @@
+#!/usr/bin/env python
+
+import operator
+import sys
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> list[tuple[int, list[int]]]:
+        return [
+            (int(value), [int(n) for n in numbers.split()])
+            for value, numbers in map(lambda l: l.split(": "), input)
+        ]
+
+    def solvable(target: int, numbers: list[int]) -> bool:
+        def concat(lhs: int, rhs: int) -> int:
+            return int(str(lhs) + str(rhs))
+
+        def helper(current_value: int, current_index: int) -> bool:
+            next_index = current_index + 1
+            if len(numbers) == next_index:
+                return target == current_value
+            if current_value > target:
+                return False
+            for op in (operator.add, operator.mul, concat):
+                if helper(op(current_value, numbers[next_index]), next_index):
+                    return True
+            return False
+
+        return helper(numbers[0], 0)
+
+    equations = parse(input.splitlines())
+    return sum(value for value, numbers in equations if solvable(value, numbers))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d07/ex2/input

@@ -0,0 +1,850 @@
+187418: 8 1 32 1 3 7 700 2 6 8 9 9
+51480079: 88 650 9 8 1
+45694842: 2 9 227 6 1 5 4 382 1 5 2
+324153: 4 6 165 26 2 8 9 3 50 9
+28501243947: 66 18 84 68 6 926 78 7
+20763: 8 9 7 123 308 2 2 709
+1275: 40 5 6 75 1
+769249: 1 47 4 4 3 9 49
+464700680640: 94 7 26 7 917 9 6 5 392
+501133472: 3 901 3 9 3 979 557 15
+1408080699: 2 93 35 12 4 5 87 48 64
+257184: 4 68 8 6 116 72
+381878965: 727 5 1 56 28 6 67
+625: 79 5 41 488 13
+1382535550: 8 91 1 5 66 931 4 470
+543135657: 7 649 5 9 7 71 979 7
+69632: 7 51 8 2 963 8 6 3 701 9
+4087: 1 3 576 2 7 7 10 6 9 592
+6351: 21 298 4 2 84 3
+15702: 7 1 419 36 366
+89661885: 8 112 1 585 25 8 84
+266450902950: 65 7 59 2 57 968 9 9 71
+194394: 194 366 28
+972: 6 29 546 1 390
+1833720: 1 6 4 6 4 9 6 4 4 2 777 5
+7263349: 9 84 780 93 4 9
+94534: 781 12 8 9 797
+258695989: 582 14 4 246 129 421
+1371: 187 9 440 9 726
+1403130963: 45 547 2 6 4 8 70 22 2
+5172: 1 28 3 88 3 4 94 642 6
+240988525: 5 865 441 5 21 382 3 2
+212541850: 6 4 84 927 5 3 813 73
+9096239: 890 67 4 1 9 95 84
+482781: 635 1 1 95 8 5 8 5 7 58 7
+4540643307: 5 4 5 898 5 5 92 9 9 8 3 6
+46738900180: 976 706 17 58 57 4 70
+259616: 312 207 6 314 4
+174270594: 544 745 4 43 21 1
+23194043: 773 3 3 9 1 43
+2838182357: 28 381 81 1 1 357
+557952: 9 62 80 9 62 6 36 7 3 7 8
+82653627132: 8 507 7 6 565 6 5 6 7 6 3
+917397714: 9 173 97 71 4
+63564: 846 1 75 48 65 1
+16152750: 714 7 795 99 26 5 1 99
+64418: 6 86 4 4 92 7 18
+96932098: 5 46 19 320 98
+412070765: 318 3 4 69 5 313 3 2
+1986: 990 3 2
+10295: 6 3 940 826 687 322
+143356: 3 98 4 9 7 6
+264829968: 293 12 106 7 543 9 3 3
+73800979: 10 5 3 1 46 8 9 28 4 6 9 8
+2804772: 6 600 892 39 9 8 8 2 4 6
+300031: 8 3 55 545 31
+20008369743: 8 330 6 82 4 2 5 6 4 7 5 6
+13396057557: 8 76 91 17 220 4 4 7 7
+116812844776: 96 59 477 3 7 982 85
+1197286087823: 9 829 9 3 3 2 87 3 4 2 9 7
+288934843: 4 13 212 33 43
+12097735: 1 120 884 93 35
+2323: 4 7 129 250 654
+4452928: 18 97 1 472 24 82
+3693500: 9 825 56 494 4 89
+230650225261: 863 1 96 8 4 87 3 5 8 5 9
+6471: 76 73 898 8 17
+1137: 5 2 47 297 786
+368741: 8 458 113 2 1 3 7 1 90 2
+347319: 447 9 69 816 259
+6153742: 8 4 2 9 7 5 1 344 7 1 71 2
+2300212040: 6 7 7 7 55 15 727 15 56
+217743931: 24 3 234 718 18 379
+1143073502: 216 84 7 167 9
+1447474: 516 7 4 9 165 6 3 7 839
+24175: 481 3 8 49 70
+1198210: 69 633 7 2 845
+3200: 8 50 8
+7529214347: 376 46 5 34 9 40 387
+23264072: 279 730 556 4 83
+58517605: 959 305 61
+3694797: 647 68 9 47 51
+98762746: 7 980 6 27 46
+675: 3 6 4 7 15 30
+3302: 7 94 25 93 47 1 630 6
+50372628: 7 943 16 9 92 2 9 9 5 4 4
+546760284: 60 9 134 67 84
+48336753: 69 24 90 33 175 3
+327848: 6 607 90 8 60
+1099845: 461 9 60 39 45
+2913111: 5 726 190 8 761
+215712: 1 9 9 8 7 7 3 8 7 8 225 7
+187980: 2 9 32 2 23 78 2
+28105: 1 373 3 74 207
+13669642: 17 8 6 964 2
+7519900: 695 56 98 99 1
+52373979: 62 253 34 7 9 543
+244520658: 8 39 1 922 3 7 9 8 5 2 4 4
+761166846259: 702 80 5 73 375 271 9
+1710191: 6 84 90 95 27 164
+108219300: 6 669 5 3 4 8 96 3 7 2 7 5
+83418128640: 752 9 3 2 3 6 8 99 9 4 4 9
+31892804: 39 3 73 81 67 4
+42680000: 4 268 4 50 50
+23479827: 4 984 35 679 7
+210060261: 206 3 21 84 73 7 289 1
+3177: 47 3 71 5 457
+902503660: 6 44 763 56 93 6 254 7
+30198724521: 7 8 9 2 9 47 2 379 45 2 2
+2163: 746 2 19 85 518 49
+954304: 2 1 2 3 2 40 3 7 950 52 8
+5835456294: 30 7 48 396 292 2
+43320718: 456 95 2 8 4 434
+3308760: 5 302 5 42 52
+5796: 9 92 7
+25910231829: 3 67 706 3 1 832
+878427678805: 92 26 1 1 81 50 952 6
+1473321: 71 2 635 30 5 2 6 4 1
+8400848504: 9 6 96 56 84 8 2 3 100 4
+49322159387: 13 2 8 92 7 3 5 8 6 7 8 7
+684519833: 7 61 4 519 836
+191600640: 8 8 540 528 42
+311237: 631 9 486 9 8 15 165
+951160: 9 3 983 5 9 1 77 8 7 5 2 5
+59041208704: 98 4 6 11 987 99 9 6 8
+354018: 72 3 1 59 124 118 3 7
+35886127: 3 87 3 92 2 1 5 4 603 9
+701625: 77 9 8 62 3
+136802924: 958 425 7 7 2 3 2 47 1 4
+71282596: 6 54 22 259 6
+245520: 385 71 4 5 528
+3517169040: 8 5 5 8 125 7 530 7 9 76
+7792441765301: 778 7 2 7 9 2 365 9 4 14
+607622809527: 5 6 48 8 36 730 9 52 5 2
+842: 9 22 5 2 7 9 4 43 3 8 1 30
+1173375: 7 4 2 3 225 7
+3650074: 2 84 12 328 977
+3812606: 9 8 8 23 28 151 2 7 8 86
+17360: 3 820 1 7 3 18 3 4 1 7 1 2
+12405: 16 1 9 86 20 1
+66919866641: 211 8 6 44 5 9 8 7 9 1 4 1
+8013364: 58 157 88 8 4
+185974: 7 48 4 54 8 59 1 3
+565292571: 896 29 33 123 590
+471460: 556 24 7 116 500
+9804900: 24 54 270 87 70 46 7
+425: 2 9 6 25
+512403750: 9 91 84 6 625
+7303840435: 730 383 36 68 35
+44385941654: 45 63 8 215 364 2 1 50
+17793072: 1 86 3 2 406 28 517 9 4
+68567808019: 6 2 192 8 370 19 16 3
+16224908: 4 970 9 7 596
+9437: 5 938 7
+386334417: 696 6 94 59 3 2 3 4
+4935770786: 4 7 52 8 9 8 1 49 5 1 7 86
+926168190738: 9 260 7 7 2 26 1 90 738
+1086806: 7 5 51 5 656 80 6
+2131: 274 7 96 46 71
+3560: 20 70 840 60 591
+545: 4 11 9 379 79 1 63
+4101: 3 1 6 5 352 574 8 2 2 3 2
+40731: 93 86 503 991 690 4 3
+16841473152: 94 52 4 96 763 47
+404950: 71 83 419 77 623
+3500596447460: 1 323 6 7 7 58 2 9 7 46 2
+199362631126: 7 7 56 28 4 1 26 31 126
+1298121: 6 8 781 3 7 5 1 5 309 7 5
+33750: 30 3 34 90 57 33 3
+1048524: 29 69 524
+28241257580297: 713 5 978 5 81 802 97
+688232: 60 2 8 2 598 9 5 4 79 9
+4970: 9 1 8 1 7 2 60 8 5 460 3 7
+38071: 791 368 7 79 30 721
+20128402: 2 48 2 6 482 80 9 59 23
+97596756600: 435 466 95 724 7
+6525364319935: 3 684 636 863 987 5
+437787903: 8 114 4 4 91 9 9 3 8 9 1 3
+1457: 3 3 44 4 1
+293090: 5 241 283 6 53
+619297: 52 9 92 9 4
+962292: 765 10 95 31 478 4
+648387: 36 28 83 2 3 3 34
+466433: 424 110 3 3 1
+6967: 4 102 1 8 6 9 8
+3396540: 242 61 140
+3561767: 12 400 7 99 726 11
+979543: 1 8 7 250 87 260 3 6 2 5
+27988800000: 5 25 700 4 952 4 21
+133389: 241 6 54 3 6
+9533672: 89 631 25 479 69 514
+24714: 1 86 26 507 3 9
+9455893049: 28 5 7 7 888 6 3 4 2 4 1 9
+1224: 4 8 36 485 671
+2058747: 4 7 378 1 9 524 2 4 8 1 1
+8122: 5 47 60 205 2
+23657723657: 6 32 183 51 94 23 63 8
+1238563682: 618 2 4 5 32 6 5 9 4 6 82
+7039053: 9 367 213 366 3
+144999092: 8 8 31 41 2 9 96 87 2 9 9
+3416010: 400 854 2 2 5
+307549178: 782 6 9 5 5 963 3 3 683
+344179424889: 46 2 5 737 4 2 48 8 8 1
+55345590: 366 120 7 1 20 710 9
+38358188702684: 9 5 89 8 4 3 7 740 537 5
+7063729304401: 569 183 973 77 881
+12816555: 762 92 2 3 3 10 1 410 5
+9621: 94 2 21
+70948948: 6 4 1 9 8 178 1 4 6 264 2
+411358: 423 97 791 36 2
+3369019540: 56 617 2 975 7 38 41
+1504080630: 39 5 62 1 207 601
+779137845564: 37 101 8 21 3 1 5 564
+5800032: 309 677 4 6 98
+4168816845: 6 78 89 36 160 8 4 5
+2911: 4 5 56 2 255 31 385
+1142856906: 8 1 5 4 3 1 6 8 55 1 900 6
+5823576: 56 604 34 86 2
+6608969236: 5 5 6 2 86 3 3 1 3 9 236
+1328554651: 4 1 324 74 80 648
+4947149: 9 3 4 102 43 9 71 9 5 6 3
+239760188: 6 2 2 2 40 6 6 92 3 4 9 92
+1891987951: 4 2 82 465 5 33 968 7
+933744: 42 445 9 3 71 158 7
+15774: 556 3 578 7 5 44 3
+2945: 2 9 716 4 28 9
+392802448878: 6 98 5 5 4 4 1 70 4 1 93 6
+5644947: 3 26 1 2 80 40 9 112 35
+1490: 1 7 638 69 2 5 41 8 5 1 1
+210990: 8 63 99 4 30
+121980885: 3 27 1 271 5 9 3 9 1 9 5 3
+7300117: 79 8 15 13 769
+108410439: 542 2 10 1 350 89
+5184867: 948 53 94 103 53
+1127: 6 74 638 2 399 8
+455827: 91 5 827
+61760955: 9 49 4 4 2 71 80 5 433
+191368: 7 5 2 8 5 7 791 7 3 4 2 2
+567544412088: 963 9 736 76 39 8 88
+12146752: 709 2 3 8 76 1 28 5 9 7 6
+885889: 8 42 9 347 3
+1106: 43 67 6
+7202952: 405 8 5 355 2
+20562: 284 610 23 1
+191497654329: 824 50 83 9 1 7 28 2 9
+2808193: 767 4 1 61 5 1 3 52 3
+133955535: 3 8 2 601 818 1 2 7 645
+6752263840: 5 4 6 4 8 5 314 7 8 5 7 4
+313500: 469 4 56 11 6
+1110: 14 1 74
+15488: 95 4 1 26 2 6 7 3 5
+35418: 11 723 47 5 915
+391535: 7 403 953 1 486 319
+1388084: 724 71 27 92 65 7 3 9 1
+44009264785064: 55 137 833 73 813 3 8
+18867200: 3 4 99 7 6 8 383 51 8 16
+9612421: 6 2 34 6 553 7 362 959
+8117920: 267 4 11 691 52
+294154650: 29 409 6 46 49
+189788268: 3 18 4 6 65 6 38 1 6 5 6 3
+1676757: 75 4 69 81 51 6
+605176: 7 34 61 506 4
+539081638393: 33 146 33 974 506
+419239: 610 9 245 8 73
+21401: 7 5 57 5 26
+240460: 9 74 2 15 4 6 29 221 55
+153678511980: 7 204 810 542 237 7
+16223812320: 7 7 6 279 7 597 57 80
+175564935: 2 84 8 14 11 38 9 5 403
+6048: 5 2 7 29 91 4
+675100: 61 8 11 316 628
+1155949124: 477 411 8 76 737
+94353: 31 58 52 857
+1128071: 393 5 8 6 6 59 333 248
+4621214: 2 639 901 1 79 31 2 4 6
+26092259600: 53 195 2 981 280 50
+182162: 11 253 91 7 1 6 99 5 2
+4452230: 138 6 7 8 9 12 1 8 29 2 7
+314085244: 9 88 419 166 946
+2291933389799: 5 472 3 7 47 72 3 831 2
+1637032: 433 52 912 646 1 68
+8505: 3 6 929 96 31 17
+1051: 4 5 75 352 24
+53861: 91 51 712 33 1
+12176325: 6 3 773 9 5 35
+53550: 414 9 99 7 2
+76978: 2 84 50 8 4 44 66
+166020482: 73 1 8 684 41 2
+2994024: 19 816 8 3 56 5 8
+531: 9 2 39 7 89 6
+534784472: 2 3 1 9 95 9 60 58 3 4 72
+584932732319: 29 31 89 6 5 65 1 72 19
+4514: 9 35 11 58 45
+49509809: 76 41 91 983 2 87 21 2
+1404717811: 8 8 16 4 2 756 717 811
+2687382: 3 10 4 4 90 2 91 6 863
+339914973856: 713 68 41 37 26 7 435
+296058: 3 4 3 1 5 33 8 2 8 38 1 7
+67488804: 89 745 8 6 94
+1252695: 9 92 6 9 5 8 8 1 2 4 63 3
+27424: 8 47 60 8 925 1 99
+1943363853992: 1 200 2 46 8 5 159 88
+6294075553: 2 892 5 1 34 5 191 5 7 3
+9476: 1 2 37 338 23
+5001673: 4 2 2 3 5 9 8 2 7 991 4 92
+19: 10 1 1 4 5
+465093: 75 2 74 94 7 9 9 2 4 8 5 9
+1369373: 898 471 3 73 1
+1525: 23 2 61
+41257: 4 1 1 2 57
+6264: 30 96 7 7 6 84
+321300: 3 435 1 7 31 6 1 5 7
+1368: 98 57 2 6 4 9 971 68
+784450040: 9 76 199 62 2 374
+6835209: 9 1 436 905 2 8 6 5 206
+362124546: 88 29 796 7 8 9 2 2 9 2 3
+126885: 5 9 63 72 7 19 3
+5676536: 3 3 945 44 664
+29555174: 875 281 36 5 6 710 4
+1809145007: 289 626 497 3 7
+64764: 7 8 2 3 2 7 7 5 5 676 86 6
+327240: 12 594 3 9 1 20
+3945066: 9 73 5 6 65
+86424: 4 5 567 848 2 731 24
+52286469: 3 1 489 9 82 4 4 9 637 8
+4251579: 457 7 556 2 64 65 59
+229770: 65 60 874 46 5
+2700: 1 7 96 3 3
+198787972: 4 3 5 6 68 5 2 45 4 2 5 2
+10115: 77 5 231 5 5
+4303635: 1 14 782 9 69 595
+2678: 20 9 7 81 1
+145017912744: 99 4 783 107 9 47 93 9
+13034369: 5 7 43 6 5 3 375 49 4 73
+989: 84 92 8 5 687 94 7 8 4
+53545060811: 80 4 85 84 8 99 7 4
+230081372: 8 2 49 651 7 6 4 1 4 9 7 2
+58091386: 56 5 1 7 3 222 4 8 3 158
+48204: 3 461 91 333 47 26
+58448887252: 7 175 22 66 486 52
+197235: 410 9 48
+22386781689439: 956 7 65 6 2 8 6 943 9
+119340: 9 5 52 51
+563562323: 8 5 7 903 79 5 79 14 9
+52547762: 724 8 9 2 6 7 29 4 2 6 6 8
+227057993908: 99 6 26 82 199 192 52
+2700292479: 1 925 1 9 50 3 84 383 3
+119784: 7 3 2 79 7 6 6 6 20 53 1 5
+217977480: 91 3 6 8 2 980 81
+9559: 828 56 65 3 66
+134739247559: 10 8 4 6 4 9 1 3 9 675 59
+1284754815: 594 56 590 8 5 2 9 335
+6090685515: 2 60 2 758 9 8 4 5 87 9 5
+1352574963: 1 69 69 17 7 97 1 843 9
+2936812726: 42 4 6 174 317 2 716 7
+21: 2 7 4 2 6
+166409: 6 2 268 24 9
+322: 122 9 4 143 44
+4538: 450 1 33 4
+1862003: 2 9 302 215 610 449
+86940: 85 9 10 3 8
+38072: 6 613 4 15 4 692
+99725486: 6 12 6 6 6 6 65 25 478 8
+13750: 53 2 439 27 412
+7038816: 57 6 65 7 80 9 3 454 8
+2855136: 6 620 8 570 543 33
+146592: 84 7 160 2 67 924
+569936: 7 5 621 4 4
+740: 20 53 1 7 659
+70911: 5 2 8 66 2 9 1 4 8 1 4 511
+64728: 3 66 6 93
+265592: 440 6 7 2 545 6 967 2
+1497366612: 2 53 9 78 513 63 7 404
+61277: 150 5 1 2 9 5 2 48 8 1 7 5
+3346539: 8 82 5 42 7 3 59
+3365893552180: 12 995 7 28 7 37 180
+1009: 6 15 53 50 885
+127008: 83 7 894 37 84
+562032713741: 3 869 174 21 199 59
+987527: 34 61 3 9 385
+19712100: 735 4 530 84 25
+26901: 303 117 1 4 3 63
+15116264: 9 8 75 48 25 2 457 7 68
+204191226: 3 89 1 2 4 2 8 8 3 9 327 6
+5198984: 8 3 8 6 9 72 994 4 526 7
+11382: 759 1 164 7 868 6 594
+504391: 852 73 848 8 39
+530085603: 30 558 984 5 9 2 5
+624: 9 2 136 475 2
+3629563236: 359 2 247 54 379
+395873445: 9 227 47 8 9 3 2 2 5 687
+552102: 5 77 20 567 4 18 8 551
+76000078085: 47 2 33 7 7 2 156 5 85
+132685: 9 46 2 386 7 96 7 6 4 9
+10372: 3 5 1 9 47 189 2 2
+20543565: 978 2 65 3 7
+1472385558: 5 7 6 340 794 7
+14144491524: 44 2 64 983 5 24
+2692998: 48 1 19 63 638
+1252924947: 9 5 869 534 7 1 6 697
+4716: 12 98 1 3 4
+2496938: 3 41 7 725 9 4 2
+1235912: 7 3 99 4 217 49 92 76
+2481026: 30 810 510 18 8
+287777439: 74 83 411 2 3 1 57
+6343360: 2 6 7 72 76 688
+77516: 1 1 75 479 37
+3030894: 8 7 6 1 2 4 71 29 4 2 6 40
+5048088466: 80 631 8 765 7 71 6 30
+359727: 897 80 5 923 4
+74387040000: 50 52 80 5 13 393 7 2
+220838337605: 65 48 56 44 760 1 76 5
+25607876: 595 532 43
+33263: 524 4 63
+2233205: 956 6 4 389 348
+49713: 115 54 9 4 4 86 2 5 864
+6057554870011: 931 7 9 189 8 55 903 1
+933697: 3 833 1 93 913 4 3 42
+10924942: 780 353 14
+284929536: 3 4 4 3 98 94 861 92 6
+6695: 7 914 191 1 7 3 86 9
+6245883: 9 989 85 62 6
+30: 7 3 9
+10155582722: 755 6 35 8 3 2 4 2 30 8 4
+10213731200: 5 4 576 94 262 88 80
+234673837: 41 81 31 4 7 5 831 6
+324941866: 7 8 7 7 365 27 2 6 1 81
+145341868: 995 4 961 6 38
+2637745: 8 2 828 7 199
+17982455851: 64 2 4 2 9 222 5 7 4 6 1
+9608793: 574 956 628 4 8 381
+719687: 71 9 6 80 7
+48985815113: 85 571 450 8 151 11
+4889892: 8 3 15 9 3 428 1 8 7 4 1 7
+1505669220: 88 648 947 77 8 9 6 30
+2127186: 818 91 468 3 9 5 8 58
+4029145071: 15 562 37 64 45 3 287
+79038: 48 661 1 2 707 2 981 9
+50824: 50 7 1 2 4
+3007: 79 29 5 6 2 9 8 778 72 7
+97461: 25 779 5 81 5
+72103770: 6 1 827 5 378 66 7 8 9 9
+10958: 307 747 41 7 1
+20287324856: 7 5 97 1 79 3 6 92 1 9 5 4
+169639: 2 68 2 1 83 8 95 5 154
+4596255180: 1 67 6 67 55 1 8 3
+95786: 425 259 28 5 26
+42269125: 80 6 331 22 4
+293888: 4 2 4 2 821 54 425 4 7 8
+5203652120: 2 260 36 52 120
+214028823995: 9 7 889 2 670 7 1 9 9 5
+46785931: 9 5 104 6 7 59 8 5 32 8 3
+1249: 3 183 78 584 38
+39642467328: 73 27 10 3 3 984 667
+33264275: 22 782 2 3 5 73
+138424899: 9 68 143 89 9
+70342494: 195 958 61 9 447 47
+194789: 83 3 782 50 21
+183549: 6 40 399 7 2
+68052: 6 51 553 9 649 5 2 9 53
+14620480: 6 7 1 905 1 6 8 8 369 8 8
+3453258: 89 388 58
+17724262883: 35 92 24 1 8 2 8 688 1
+10296335: 7 22 23 9 62 57
+930: 913 11 6
+1528389206: 198 7 907 4 822 218
+684211: 6 9 76 7 596 6 570 23
+3953055575502: 7 6 7 10 4 7 3 860 4 476
+235864: 2 35 864
+342199842: 46 6 70 4 41 37 6 6 2 3
+38875005: 620 627 6 94 5
+47902: 717 6 2 40 13 432 8 4
+3437568326: 2 4 8 2 9 373 10 4 8 6
+71911489: 7 5 38 258 633 233
+116689560: 681 2 5 571 6
+13336633: 66 535 516 3 33 43 97
+2561353: 1 5 2 472 41
+7100813: 998 73 78 85 83
+9016487158: 1 915 3 3 9 3 8 94 49 5 8
+231873894863: 2 98 42 2 777 863
+17802929988398: 456 79 167 49 972 49
+205498: 8 9 2 3 56 48 4 3 3 3 622
+53767644: 537 673 5 4 290
+64823081: 4 8 1 546 742 390 5 4 7
+224054: 257 30 7 9 29
+4381459: 84 3 629 5 9
+156092264318: 26 60 92 264 319
+4835710: 112 7 5 2 9 521 1 9 6 5 7
+2097368646: 9 961 2 9 299 4 9 18 5 6
+5199015150: 4 1 529 40 234 15 7 6 5
+2263449: 7 236 8 2 9 8 8 3 245 9
+17923542: 2 12 2 91 92 702 44 2
+1822830370: 4 619 7 451 14 8 394 8
+787528: 423 7 8 9 44 3 1 1 667 2
+2861205060: 1 5 86 5 18 7 917 76 51
+2139301: 80 347 23 77 10
+78: 31 33 14
+1938: 1 1 1 68 101 7 2 9 6
+439607545: 6 29 378 3 1 904 1 481
+21129: 704 3 9
+1581: 848 1 21 649 1 62
+2662: 68 3 62 2
+3026494946287: 8 57 4 1 57 8 189 9 86
+146835081730: 339 7 1 96 2 20 9 2 6 9 9
+54568804: 1 65 99 848 4
+344196191: 65 802 3 62 78 22 75
+6009142314: 4 852 1 77 5 533 7 654
+2293044: 902 37 6 407 6
+66217250: 8 327 12 68 256 9 242
+7449: 10 105 7 23 76
+713: 73 50 586 1 3
+8396761070: 691 9 821 3 5 9 9 5 8 56
+84093834: 76 226 4 612 59 3 3 2 8
+8021: 24 3 293 87 23
+4588059: 8 55 5 8 547 1 6 4 2 27 3
+896: 3 6 96 7 8
+203856: 117 9 49 83 2 2 6
+1755: 5 5 6 56 19
+94983133313: 91 4 9 6 9 2 71 611 3
+36501584: 421 59 200 84 76
+2739260160: 83 8 78 3 60 67 32
+11431577: 4 85 4 54 86 8 74 57
+3904975: 762 183 28 451 36
+1061781890400: 1 90 712 99 797 210
+104260: 218 2 8 71 451 26
+12831: 231 3 479 96 793 8 8 7
+1867: 249 621 9 9 24 955
+2736990: 52 56 9 19 3 930
+7372456: 13 3 9 5 55 158 676 41
+13995957291847: 87 86 655 4 838 852 7
+262752: 7 755 9 180 6 8
+116756: 60 85 8 86 665 5
+21520534503978: 2 25 8 1 883 953 4 978
+20702160: 65 72 7 8 45
+47451357: 15 6 1 3 4 4 603 108 9 3
+90184: 892 1 6 91 4
+522977087: 6 8 8 35 75 5 5 9 76 6 5 3
+19773: 938 46 2 9 3
+591448: 96 8 611
+151932: 9 6 8 7 300 6 997 7 3 2 6
+677133: 55 94 96 7 17 8 15
+62605459434: 236 75 5 33 5 4 2 6 609
+1134716637: 5 134 4 814 576 8 51
+203685: 138 7 885 22 3 8 3 5 5
+411259430463: 7 60 4 988 2 7 384 7 6 3
+69479410: 6 28 93 7 8 23 711 631
+36480513: 747 4 5 10 488 73
+6529930114: 98 37 398 638 110 1
+3158302: 8 32 7 4 688 78 3 1
+1329: 956 213 6 95 59
+103528339432: 4 38 9 5 1 5 6 9 887 536
+26058526: 86 1 69 6 3 7 155 75 3
+16637174616501: 60 5 9 577 2 88 3 4 3 52
+496403648: 24 10 1 419 8 617 8
+70983429060: 234 1 5 20 1 6 8 5 8 5 60
+18430386766: 7 5 42 7 776 198 55 34
+4336513875: 7 869 534 1 3 15 89
+146733: 2 179 8 8 6 300 99 15
+719431: 1 418 7 4 4 7 4 5 8 35 6
+123489453: 1 235 650 2 9 89 47 87
+1817054297589: 6 40 395 5 4 297 592
+28112657546: 48 73 71 58 113 6
+3698184: 79 871 389 268 4
+33904566: 8 359 3 95 2 97 9 4 3 6
+3749036750: 37 4 903 6 750
+9653520: 2 28 2 5 57 584
+64502825: 7 9 20 171 8 60 5 65 5
+258198671: 2 6 840 55 551 7 1
+7876133: 9 9 32 46 963 718
+795924: 8 31 3 51 873 48
+25961153: 58 89 55 630 17 9 2 6 5
+7689010: 83 6 602 699 9
+37694322: 5 57 3 329 134 775 17
+370720500: 7 6 371 8 767 1 14 606
+396636777: 67 6 965 6 4 7 3 29 7
+683362696: 68 33 62 6 96
+176659289957: 8 2 3 57 824 8 899 57
+942096: 6 830 74 2 5 4 2 1 93 6
+139897: 50 6 4 5 466 3 86 8
+25310524: 842 9 835 4 4
+284646313: 7 2 858 677 4 623 5 4 7
+182325: 361 418 3 75 7 6 6 75
+55: 3 2 9 35 5
+2383002: 384 31 62 73 207
+5783478945: 61 2 9 15 7 14 8 351
+6822681600: 8 840 490 56 37
+4081902: 9 88 7 5 2 10 7 506
+499758: 1 27 41 426 326
+129: 53 7 61 3 5
+4093163: 940 75 4 8 3 8 7 5 6 317
+1735787709: 4 7 39 10 8 4 8 5 35 5 1 9
+1466379: 6 8 8 1 4 3 6 5 625 6 25 9
+1132930: 2 44 81 8 2 3 19 2 6 6 2 8
+813082430: 2 9 2 27 72 5 616 486 5
+39761608992: 8 3 1 5 9 4 7 9 942 476 4
+183663: 3 17 407 9
+290472: 52 7 798
+26524378336980: 2 7 808 977 3 92 8 980
+130466560295040: 778 533 9 98 816 190
+4905495936: 4 11 17 93 808 99 8
+593640: 492 5 5 1 2 3 39 9 6 30
+6233: 9 12 68 7 6 2 1 5 3 16 41
+36038: 9 476 863 7 9
+128815: 1 2 88 15
+1864323072: 202 292 9 128 8
+9950315: 52 4 938 51 3 8
+501726: 5 476 303 187 5
+92280: 922 27 2 9 42
+76472: 661 208 88
+61014: 1 97 1 629 1
+17078477400: 1 44 4 5 128 308 2 5 3 8
+376022848: 21 760 1 4 224 6 56 8
+6639080646: 945 3 2 7 7 99 881 643
+116944: 4 3 7 38 81 6 3 8 1 441 7
+230277087093: 319 430 9 801 93
+1043119420033: 4 31 6 1 4 341 2 350 35
+17346278: 6 45 69 9 157 545 18
+2901672: 2 287 1 16 72
+117015525: 5 1 8 594 4 9 97 6 3 3 55
+48944038: 539 9 71 608 5 703 26
+51469483: 113 965 472 217 26
+35344593648: 7 54 7 822 238 549 78
+9385011: 938 493 5 9 22
+8666140861: 5 6 6 1 4 44 60 6 6 1 8 5
+5300472946: 692 5 31 762 948
+25608: 87 4 3 24 552
+308240474597: 770 6 5 8 429 45 5 9 2 5
+16439885: 2 8 822 3 50 651 5 77
+544500: 8 22 253 37 26 4 2
+30379565: 3 903 1 5 323 1 9 565
+41656: 144 47 794 31 41
+24807: 48 7 63 7 552
+3485: 499 4 74 6 23
+839060: 1 27 1 35 5 7 9 3 7 6 1 25
+23088: 9 9 33 42 148
+9154663: 4 817 311 8 7 91 6 63 1
+90682288496: 7 577 8 5 20 1 6 748 6
+43937079: 5 770 7 89 91 4
+29472: 614 6 8
+11561778226: 2 6 6 4 34 9 9 963 2 2 2 6
+117144416: 317 8 8 6 6 8 39 8 1 956
+2462640: 3 8 15 2 9 7 5 8 4 7 930 8
+6991816: 6 2 867 3 4 5 7 8 1 35 4 9
+10813: 12 76 14 37 576
+5764467: 90 94 9 8 5 2 68 92 9 4 2
+20995047250: 5 814 4 6 7 9 4 4 7 9 2 50
+340676: 492 32 5 92 7
+460049: 9 8 839 39 5 69 4 8 2 7 8
+39360102: 46 101 5 7 845 2
+632489040: 632 48 896 1 73 6
+4515: 73 1 4 5 15
+22440: 4 8 21 663 561
+34573: 26 2 65 77 3
+1205424: 3 48 930 2 4 1 4 2 4 1 9
+2288024: 4 6 411 9 92 7 5 56 6 8
+7166740: 5 62 4 980 103
+43925184: 68 7 767 23 8 8 1 2 6 2 8
+73957520: 8 4 6 1 3 4 440 67 560
+4497072: 449 6 858 3 211
+379852098: 65 68 68 3 29 7 9 6 1 2 6
+7039622942269: 7 491 357 4 6 9 683 84
+59297832: 83 895 586 9 11 8
+3222143: 98 427 77 4 1
+2706396: 2 7 4 9 9 8 5 5 8 3 85 609
+54899: 9 40 5 8 99
+15470567600: 423 6 737 988 9 1 6 4 4
+414459045: 640 8 468 369 3 13 35
+28680: 286 73 7
+148225337: 5 63 394 6 5 4 4 922 7
+1548: 8 9 20 83 25
+52488: 55 4 5 8 81
+309758831546: 7 4 3 4 39 7 4 3 145 1 8 8
+45710059: 2 77 5 38 5 17 26 89 7 8
+110968: 3 8 9 4 5 435 3 4 32 1 1 5
+296175877: 2 3 124 9 3 2 46 71 6 55
+183182295: 3 6 31 82 295
+18032285875: 733 246 26 459 875
+2252773168103: 6 690 743 91 370 3
+208683: 90 1 303 531
+5905: 5 83 9 4 59 3
+2547957588: 2 135 6 7 9 4 5 57 5 87
+864108: 10 525 233 204 889
+2632797169: 9 5 78 52 578 3 5 71 2 2
+3861135: 17 94 6 330 91 42
+279877248: 98 69 966 503 72
+4321455138000: 567 4 611 20 75 693 3
+109506168: 771 73 43 3 9 5 8 896 9
+131686680949: 2 344 6 55 3 632 1 950
+11285568: 42 3 622 48 3
+7429: 6 7 35 15 5 4
+1344632850: 6 81 825 986 19
+1349: 12 9 23 866
+135629: 52 4 5 3 5 6 17 4 6 39 65
+109541641: 772 1 665 3 705 71
+36454: 32 11 847 33
+18256000: 79 4 792 326 64
+634608: 9 784 13 13 8
+2149222: 391 7 54 21 1
+1020512181: 8 89 9 3 3 4 40 80 1 8 9 3
+778156485: 6 21 5 4 2 7 23 663 9 5 3
+4983272739052: 280 5 530 11 920 4 73
+4161: 72 44 925 60 8
+2507022432: 4 489 6 9 8 2 8 8 90 2 8 2
+650605: 9 12 629 60 5
+2092992: 85 1 3 991 24
+26902: 9 2 3 74 6 5 42 9 8 123 2
+15599: 4 151 98 1
+41225189: 8 16 1 91 44 429 5
+1473989040: 7 228 6 1 30 32 920
+61866: 20 28 934 3 21
+570190125: 471 99 1 90 128
+16235927: 6 26 35 731 992 855
+21528: 565 2 1 2 1 8 1 9 6 66 6
+43993993848: 6 2 8 95 805 62 28 5 1
+26706275149: 4 60 451 2 58 6 5 42 8
+1011: 52 7 635 6 6
+299093: 9 8 2 4 7 8 4 9 4 5 5 867
+833382: 6 3 6 23 671
+14505768: 2 97 268 3 93
+4923890: 93 61 526 4
+48105: 751 4 16 3 38
+1414794: 70 38 16 61 251 11 6 3
+38616996: 4 79 68 791 2 3 6 999
+1904796000: 39 8 606 4 9 546 999
+147334: 9 732 65 44 22
+34232: 7 31 598 42 2
+12270967818: 27 722 9 885 5 2 3 8 8
+9264135: 3 451 441 25 6 4 13 5
+45507450163: 45 496 11 450 163
+91440: 4 41 6 916 5 48
+88344832: 882 4 8 38 8 41
+287671639: 985 29 202 1 1 56 7 2 4
+507668: 911 8 804 90 4 70 20 8
+394114: 19 837 51 434 7 469
+77382: 5 9 5 55 29 4 9 3 3 7 30 8
+9957630062: 56 9 310 73 2 291 7 3 2
+10296: 7 98 3 1 6 84 3 735 9
+295260: 7 2 18 9 84 1 39 3 19 6 7
+4701: 20 57 34 2 2 2 1
+3848560: 28 4 8 7 72 8 359 20 4
+16949608: 7 1 3 413 8 6 3 42 8 2 5 8
+31453576: 53 1 2 33 580 21 77 8
+314611: 33 9 24 86 773
+15245: 6 2 1 2 5 5 4 6 89 9 853 5
+7265: 1 7 7 6 8 1 7 669 3 4 6 63
+548073: 9 88 282 20 669 324
+62260835: 2 971 916 9 35
+835164: 30 4 3 513 44
+19800544: 440 45 1 136 407
+33392435588: 73 829 54 739 9 746
+9119277: 4 1 433 39 2 6 1 1 2 5 9
+2473338468: 2 4 24 446 155 3 3
+3391904: 5 42 291 248 8
+4854: 89 310 738 77 4
+7990517: 1 659 3 2 747 8 6 61 5
+27168: 195 80 8 6 16
+356592: 9 7 6 9 7 152 11 45 57
+803: 3 2 792 3 2
+7324966325691: 7 8 327 4 12 3 814 2 3 4
+4348464: 87 238 35 34 6
+78: 1 31 1 46
+2333: 395 903 8 93 9 2 923
+17413920: 1 730 95 8 2 580 2 9
+121371: 6 2 1 1 7 693 57 1 8 35 3
+52915920: 201 2 263 2 54 66
+4205: 1 6 82 9 6 722 4 3 5 3 5
+102938: 2 8 7 70 62 1 157 73 8
+64212990: 15 423 269 5 109
+2891: 2 24 4 15 11
+7707154: 411 954 4 1 7 1 3 6 7 94
+83830: 1 40 2 3 27 7 24 2 6 62
+342729: 7 83 272 14 9
+55247775: 541 851 8 16 41 15
+4259: 5 73 7 5 4 5
+13394887: 4 7 2 2 6 5 58 783 7 6 2 7
+904: 4 2 727 80 91
+7641038: 485 1 8 860 516 6 18 2
+2359540874: 2 546 3 8 6 36 71
+833: 42 62 1 14 7
+1581: 4 60 857 1 1 7 477
+225893352782: 225 893 35 278 2
+19077: 40 9 28 247 58
+1026671144: 5 46 3 74 8 359 8 7 69 3
+398072: 44 3 635 56 3
+15469480: 409 1 539 35 90 2
+1809270: 8 331 48 85 55 45
+2627552: 4 7 26 3 6 25 2 2 8 7 5 2
+6983: 1 950 1 70 6 9 4 844 1
+864439333: 8 98 80 439 330
+7739: 857 9 14 4 8
+527424: 5 19 6 32 67
+178358491551: 242 66 42 758 968 3 1
+23466: 4 60 4 1 2 1 166 8 5 379
+8865: 1 788 193 3 9 3
+25531136601: 2 55 311 36 601
+1435774: 8 84 27 578 18 4
+6228: 4 878 7 7 5
+1642: 3 8 3 4 2
+38584000: 8 6 4 2 41 6 95 2 4 8 875
+24723940: 209 31 477 9 8 4
+2116117: 697 3 2 6 7 23 425 36 6
+3124451126: 26 3 11 12 78 4 6
+86185: 879 9 4 4 6 66 8 9 1 853
+35383157110: 2 1 792 31 43 730 7
+1658134437620: 7 3 5 233 465 44 2 485
+43437081675: 5 713 216 2 176 77
+800998632: 7 3 214 4 54 246 378
+5200: 8 9 463 9 8 377
+33760: 67 2 3 2 5
+1120091: 63 5 55 37 344 8 11 16
+140: 1 47 92
+5721882: 42 49 29 2 469 82
+34206: 37 6 77 9 2
+121: 29 3 76 9 4
+4941531369: 91 54 22 5 53 137 1
+3463558642: 28 13 87 971 1 63 8 4
+31093720: 66 7 5 73 6 1 4 910 840
+52280: 5 1 75 7 847 8 8 62 40
+3272268: 59 5 644 459 701 4
+35454732: 7 7 984 5 32 3 9 69 37 2
+450758928: 51 4 59 2 8 8 4 195 2 24
+36492: 364 1 86 1 6
+34656285942: 83 93 1 51 2 9 3 54 223
+326592350: 8 36 5 81 40 5 70
+3808350: 6 3 623 19 8 8 675
+611496: 9 626 28 3 36
+415429: 373 436 513 1 412
+6713332057: 97 3 884 5 46 57
+3383861896801: 1 81 38 1 955 5 6 9 77 1
+140384: 3 5 5 970 47 3 33 761
+1916: 5 6 4 4 9 7 2 1 4 342 2
+17252: 5 11 140 63 3 5 76
+10500: 5 35 2 1 30
+1593745: 54 868 34 1 2 2 92
+307311: 8 376 8 68 2 42
+60696: 89 75 61 8 9
+76288046546: 13 6 4 9 5 7 303 6 1 2 14
+9273613: 92 73 613
+335922: 331 2 2 37 3 84 50 9 51
+17043713: 44 220 1 98 132 8 64
+1755720677: 48 77 180 2 677
+763: 42 250 7 1 463
+4841686083: 60 23 90 24 88 90
+7945523600154: 895 166 1 764 70 15 4
+292513: 2 25 91 64 1 852 460
+44328197: 73 877 3 29 962 2 3 12
+4732438201: 5 87 4 2 77 2 6 700
+1690422050730: 2 600 86 8 216 76 2 5 7
+73303: 35 74 8 31 1 1 9 3 9 1 52
+2929506: 1 9 186 175 6

2024/d08/ex1/ex1.py

@@ -0,0 +1,50 @@
+#!/usr/bin/env python
+
+import itertools
+import sys
+from collections import defaultdict
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> dict[str, set[Point]]:
+        res: dict[str, set[Point]] = defaultdict(set)
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                res[c].add(Point(x, y))
+        return res
+
+    def find_antinodes(grid: dict[str, set[Point]], dims: Point) -> set[Point]:
+        max_x, max_y = dims
+        antinodes: set[Point] = set()
+        for antennas in grid.values():
+            for start, end in itertools.permutations(antennas, 2):
+                dx, dy = end.x - start.x, end.y - start.y
+                x, y = start.x - dx, start.y - dy
+                if not (0 <= x < max_x):
+                    continue
+                if not (0 <= y < max_y):
+                    continue
+                antinodes.add(Point(x, y))
+        return antinodes
+
+    lines = input.splitlines()
+    max_x, max_y = len(lines), len(lines[0])
+    grid = parse(lines)
+    return len(find_antinodes(grid, Point(max_x, max_y)))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d08/ex1/input

@@ -0,0 +1,50 @@
+.A...........5........................pL..........
+.................................p......L.........
+......................................L...........
+.......................................C..........
+........v...................7...............C.....
+..................................p........L......
+.................vA......3........................
+.......A.....3....................................
+........................s....X3...................
+..A......5.................9....3.................
+.......8...........s.........7.............C..m...
+................8......t........7.......9.........
+....................o......Z.............y........
+...............s.......Y.v.o......y....0..........
+..................................................
+..5................8.......................m...J..
+5...............................0....aX...........
+.V............v.s.........Z.o..7....a.............
+2..........f...........P..............9...J.M.....
+...............f..........P.....V......y....1.J...
+...g...................o.......0l...........N..B..
+..................Y...............................
+......G...............f.....Z..t..............1...
+............G......Z......h................B....C.
+.........w....h.Y....j............a........J..y...
+.............P....z..........................1....
+w.......P...z...R......r8.........................
+........w.........................................
+.................h.G.........m............BM......
+......4.....fa.................G...i....X......W..
+V........4..............................tW.9...i..
+............2h..............0.......tX...M........
+.....z.........................l..................
+.......2..........................................
+..r........................Y................W...i.
+.......w.........q..................i.............
+.........H.2....4.................................
+..........Q.....j.......M.....lrN.................
+..x...H.Q.......O.....c...........................
+....H.......................S.....................
+.....................O..S.......6..........b......
+...c.......F...Q.j.........l....T.....R...........
+...........Q.F.......c.I.....1.........R....T.....
+............F........I.O......r..T.............b..
+..n.........q.........F.I..............T..b.......
+.......n...........z..O....x.......N........b.....
+.....S............................................
+..........q.........cS..x4I......6................
+..j.....gn.q.......x...................N...6......
+...........g..n................R......B...........

2024/d08/ex2/ex2.py

@@ -0,0 +1,51 @@
+#!/usr/bin/env python
+
+import itertools
+import sys
+from collections import defaultdict
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> dict[str, set[Point]]:
+        res: dict[str, set[Point]] = defaultdict(set)
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                res[c].add(Point(x, y))
+        return res
+
+    def find_antinodes(grid: dict[str, set[Point]], dims: Point) -> set[Point]:
+        max_x, max_y = dims
+        antinodes: set[Point] = set()
+        for antennas in grid.values():
+            for start, end in itertools.permutations(antennas, 2):
+                dx, dy = end.x - start.x, end.y - start.y
+                for i in itertools.count():
+                    x, y = start.x - dx * i, start.y - dy * i
+                    if not (0 <= x < max_x):
+                        break
+                    if not (0 <= y < max_y):
+                        break
+                    antinodes.add(Point(x, y))
+        return antinodes
+
+    lines = input.splitlines()
+    max_x, max_y = len(lines), len(lines[0])
+    grid = parse(lines)
+    return len(find_antinodes(grid, Point(max_x, max_y)))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d08/ex2/input

@@ -0,0 +1,50 @@
+.A...........5........................pL..........
+.................................p......L.........
+......................................L...........
+.......................................C..........
+........v...................7...............C.....
+..................................p........L......
+.................vA......3........................
+.......A.....3....................................
+........................s....X3...................
+..A......5.................9....3.................
+.......8...........s.........7.............C..m...
+................8......t........7.......9.........
+....................o......Z.............y........
+...............s.......Y.v.o......y....0..........
+..................................................
+..5................8.......................m...J..
+5...............................0....aX...........
+.V............v.s.........Z.o..7....a.............
+2..........f...........P..............9...J.M.....
+...............f..........P.....V......y....1.J...
+...g...................o.......0l...........N..B..
+..................Y...............................
+......G...............f.....Z..t..............1...
+............G......Z......h................B....C.
+.........w....h.Y....j............a........J..y...
+.............P....z..........................1....
+w.......P...z...R......r8.........................
+........w.........................................
+.................h.G.........m............BM......
+......4.....fa.................G...i....X......W..
+V........4..............................tW.9...i..
+............2h..............0.......tX...M........
+.....z.........................l..................
+.......2..........................................
+..r........................Y................W...i.
+.......w.........q..................i.............
+.........H.2....4.................................
+..........Q.....j.......M.....lrN.................
+..x...H.Q.......O.....c...........................
+....H.......................S.....................
+.....................O..S.......6..........b......
+...c.......F...Q.j.........l....T.....R...........
+...........Q.F.......c.I.....1.........R....T.....
+............F........I.O......r..T.............b..
+..n.........q.........F.I..............T..b.......
+.......n...........z..O....x.......N........b.....
+.....S............................................
+..........q.........cS..x4I......6................
+..j.....gn.q.......x...................N...6......
+...........g..n................R......B...........

2024/d09/ex1/ex1.py

@@ -0,0 +1,62 @@
+#!/usr/bin/env python
+
+import sys
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> tuple[list[int], list[int]]:
+        files: list[int] = []
+        free: list[int] = []
+
+        for i, c in enumerate(input):
+            if c == "\n":
+                continue
+            (files if i % 2 == 0 else free).append(int(c))
+
+        # Make `to_disk` slightly simpler
+        if len(files) > len(free):
+            free.append(0)
+
+        return files, free
+
+    def to_disk(files: list[int], free: list[int]) -> list[int | None]:
+        assert len(files) == len(free)  # Sanity check
+
+        disk: list[int | None] = []
+
+        for i in range(len(files)):
+            disk.extend([i for _ in range(files[i])])
+            disk.extend([None for _ in range(free[i])])
+
+        return disk
+
+    def compact(disk: list[int | None]) -> list[int]:
+        last = len(disk) - 1
+        for i in range(len(disk)):
+            # Are we finished compacting?
+            if i >= last:
+                break
+            # Is this a free space?
+            if disk[i] is not None:
+                continue
+            assert disk[last] is not None  # Sanity check
+            disk[i], disk[last] = disk[last], disk[i]
+            # Find next block to compact
+            while disk[last] is None:
+                last -= 1
+        # At this point, `None` are at the end
+        # Naive list comprehension to appease the type checker
+        return [n for n in disk if n is not None]
+
+    files, free = parse(input)
+    disk = to_disk(files, free)
+    return sum(i * n for i, n in enumerate(compact(disk)))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d09/ex2/ex2.py

@@ -0,0 +1,93 @@
+#!/usr/bin/env python
+
+import sys
+from typing import NamedTuple
+
+
+class FilePosition(NamedTuple):
+    pos: int
+    length: int
+
+
+class ParsedDisk(NamedTuple):
+    files: list[FilePosition]
+    holes: list[FilePosition]
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> tuple[list[int], list[int]]:
+        files: list[int] = []
+        free: list[int] = []
+
+        for i, c in enumerate(input):
+            if c == "\n":
+                continue
+            (files if i % 2 == 0 else free).append(int(c))
+
+        # Make `to_disk` slightly simpler
+        if len(files) > len(free):
+            free.append(0)
+
+        return files, free
+
+    def to_disk(files: list[int], free: list[int]) -> ParsedDisk:
+        assert len(files) == len(free)  # Sanity check
+
+        pos = 0
+        disk_files: list[FilePosition] = []
+        holes: list[FilePosition] = []
+
+        for i in range(len(files)):
+            disk_files.append(FilePosition(pos, files[i]))
+            pos += files[i]
+            holes.append(FilePosition(pos, free[i]))
+            pos += free[i]
+
+        return ParsedDisk(disk_files, holes)
+
+    def compact(disk: ParsedDisk) -> list[int | None]:
+        def move_files(disk: ParsedDisk) -> dict[int, FilePosition]:
+            new_files: dict[int, FilePosition] = {}
+            for i, (pos, length) in reversed(list(enumerate(disk.files))):
+                for h in range(len(disk.holes)):
+                    # Hole must be big enough to fit the file
+                    if length > disk.holes[h].length:
+                        continue
+                    # Hole must be to the left of the file
+                    if pos < disk.holes[h].pos:
+                        break
+                    # We found a hole, move the file into it
+                    pos = disk.holes[h].pos
+                    disk.holes[h] = FilePosition(
+                        length=disk.holes[h].length - length,
+                        pos=disk.holes[h].pos + length,
+                    )
+                    break
+                new_files[i] = FilePosition(pos, length)
+            return new_files
+
+        def to_disk(files: dict[int, FilePosition]) -> list[int | None]:
+            disk: list[int | None] = [None] * max(
+                (f.pos + f.length) for f in files.values()
+            )
+            for i, f in files.items():
+                for j in range(f.length):
+                    assert disk[f.pos + j] is None  # Sanity check
+                    disk[f.pos + j] = i
+            return disk
+
+        new_files = move_files(disk)
+        return to_disk(new_files)
+
+    files, free = parse(input)
+    disk = to_disk(files, free)
+    return sum(i * n for i, n in enumerate(compact(disk)) if n is not None)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d10/ex1/ex1.py

@@ -0,0 +1,66 @@
+#!/usr/bin/env python
+
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+    def neighbours(self) -> Iterator["Point"]:
+        for dx, dy in (
+            (-1, 0),
+            (1, 0),
+            (0, -1),
+            (0, 1),
+        ):
+            yield Point(self.x + dx, self.y + dy)
+
+
+TopoMap = dict[Point, int]
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> TopoMap:
+        return {
+            Point(x, y): int(c)
+            for x, line in enumerate(input)
+            for y, c in enumerate(line)
+        }
+
+    def find_trail_heads(map: TopoMap) -> set[Point]:
+        return {p for p, height in map.items() if height == 0}
+
+    def score_trail(map: TopoMap, start: Point) -> int:
+        assert map[start] == 0  # Sanity check
+        res = 0
+        queue = {start}
+        visited: set[Point] = set()
+        while queue:
+            p = queue.pop()
+            visited.add(p)
+            cur_height = map[p]
+            if cur_height == 9:
+                res += 1
+            for n in p.neighbours():
+                if map.get(n, cur_height) != (cur_height + 1):
+                    continue
+                if n in visited:
+                    continue
+                queue.add(n)
+        return res
+
+    map = parse(input.splitlines())
+    trail_heads = find_trail_heads(map)
+    return sum(score_trail(map, head) for head in sorted(trail_heads))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d10/ex1/input

@@ -0,0 +1,59 @@
+18776569014346783430321009012345676543089876765012101843210
+09683458723454894321234218987432189452176769854323678956521
+14592987654098765436549367016543032360145678765014545697434
+23601678432132650145678456323456501278234549343478034788910
+10712569549241043278901285434787654329103234256589121078923
+89803434678950012789854398103490769210567145187678438967434
+67810326589867821016760187312521898123498076094501567456556
+50981810410778932345123272210634567087654189143215678304567
+41832900325696543451074561028701256198563778012324569213498
+32963871234587123898785654139987341017652890123473478012323
+87874562187671034567698763245676892456701287634982101701414
+96565653094544343452188898743786743326898096545679876894505
+05454512123349852143089889652898653217652125621043965787676
+12343103098256765001234767601701062108943034432152014690189
+01289544567187678114345678015612341007765403569061023543287
+01276632101096789823210599126543652210812312678278710871296
+10345789780125679814676587439874743321907654589189658960345
+01234695690434578705689436510165894430418523971012347454434
+12304504541128963210790325565256766569349010810143232323521
+23413213232037654309821019874305412678256186743256101210650
+34329832198747012313412301878912301569107898653087082198761
+65896701007658965412301498965887432354518947894198898017321
+96785432216234878905432567054896345823101456763234745654450
+87123870125165687876541230123445458910112398654125656723765
+21012965634018796982650345678032567421012567432098749810894
+76321034676569805401721214789121076578323456501589038902923
+85432123589458012392895603210434789489210167895610121451012
+96524323428301123483486578765965672374331321234785430543212
+87012410210216782174987439834874301065145490121096789678101
+73453891346785493065234328703893216521036787654567645679201
+02567765445698304160145012012743227434321098943658938983210
+11098894332103215659876430125652108965670101812340127654321
+25437743210114106765454309836543345696987872701235672105898
+36727654012325699877869218747434210780745963890104383236785
+49818123963445788566978745658923312321894854761201294345656
+56709037874236567345432036547012103456783203454398761787654
+43237654365187665432301127015432176501654112341432650198323
+54108910210094572301432098326721085432456043210541043278910
+45678921109001481676501287445856794101387456101650169867610
+38787632278112390789043016532943893232297887232789856701521
+29698543465243654632132105621032124540196996243456765432430
+10101012354305783541245094765021043256785432123455965432107
+67652765410216792150956783876107650122312301098767874345698
+58543894324345891067810782987238987201406784567854901236787
+49987685456543282123425691096543271230545493201993210340123
+32106452567650112054534567899454100045654320192387651259654
+40045321898342106567651056928767652198743410887434540568798
+51235430210289287438122345210178943329652378976543039875687
+67896787320176396129034434356598712410701237010132128064516
+10765698451965445001545423347895606549890796521243989123105
+23896787567843234652436710212874307432037887430145478798234
+34785896765432128763429876108963218901126986543234567017345
+25634789854578019854210785654851019985435100125676454156236
+18721034563689108943218798743344328776434234234981043205145
+09343123872672397654309654312235899643421965547872124314076
+43216012901521087898701211201156732554310876958943235023489
+56905438765432076985654300321076541467215467867654332133012
+47876329034310145676701098730987210398706326321038949874323
+56981010123421234565892345645678901237987015432127654365434

2024/d10/ex2/ex2.py

@@ -0,0 +1,61 @@
+#!/usr/bin/env python
+
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+    def neighbours(self) -> Iterator["Point"]:
+        for dx, dy in (
+            (-1, 0),
+            (1, 0),
+            (0, -1),
+            (0, 1),
+        ):
+            yield Point(self.x + dx, self.y + dy)
+
+
+TopoMap = dict[Point, int]
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> TopoMap:
+        return {
+            Point(x, y): int(c)
+            for x, line in enumerate(input)
+            for y, c in enumerate(line)
+        }
+
+    def find_trail_heads(map: TopoMap) -> set[Point]:
+        return {p for p, height in map.items() if height == 0}
+
+    def rate_trail(map: TopoMap, start: Point) -> int:
+        def helper(pos: Point) -> int:
+            if map[pos] == 9:
+                return 1
+            res = 0
+            for n in pos.neighbours():
+                if map.get(n, -1) != (map[pos] + 1):
+                    continue
+                res += helper(n)
+            return res
+
+        assert map[start] == 0  # Sanity check
+        return helper(start)
+
+    map = parse(input.splitlines())
+    trail_heads = find_trail_heads(map)
+    return sum(rate_trail(map, head) for head in sorted(trail_heads))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d10/ex2/input

@@ -0,0 +1,59 @@
+18776569014346783430321009012345676543089876765012101843210
+09683458723454894321234218987432189452176769854323678956521
+14592987654098765436549367016543032360145678765014545697434
+23601678432132650145678456323456501278234549343478034788910
+10712569549241043278901285434787654329103234256589121078923
+89803434678950012789854398103490769210567145187678438967434
+67810326589867821016760187312521898123498076094501567456556
+50981810410778932345123272210634567087654189143215678304567
+41832900325696543451074561028701256198563778012324569213498
+32963871234587123898785654139987341017652890123473478012323
+87874562187671034567698763245676892456701287634982101701414
+96565653094544343452188898743786743326898096545679876894505
+05454512123349852143089889652898653217652125621043965787676
+12343103098256765001234767601701062108943034432152014690189
+01289544567187678114345678015612341007765403569061023543287
+01276632101096789823210599126543652210812312678278710871296
+10345789780125679814676587439874743321907654589189658960345
+01234695690434578705689436510165894430418523971012347454434
+12304504541128963210790325565256766569349010810143232323521
+23413213232037654309821019874305412678256186743256101210650
+34329832198747012313412301878912301569107898653087082198761
+65896701007658965412301498965887432354518947894198898017321
+96785432216234878905432567054896345823101456763234745654450
+87123870125165687876541230123445458910112398654125656723765
+21012965634018796982650345678032567421012567432098749810894
+76321034676569805401721214789121076578323456501589038902923
+85432123589458012392895603210434789489210167895610121451012
+96524323428301123483486578765965672374331321234785430543212
+87012410210216782174987439834874301065145490121096789678101
+73453891346785493065234328703893216521036787654567645679201
+02567765445698304160145012012743227434321098943658938983210
+11098894332103215659876430125652108965670101812340127654321
+25437743210114106765454309836543345696987872701235672105898
+36727654012325699877869218747434210780745963890104383236785
+49818123963445788566978745658923312321894854761201294345656
+56709037874236567345432036547012103456783203454398761787654
+43237654365187665432301127015432176501654112341432650198323
+54108910210094572301432098326721085432456043210541043278910
+45678921109001481676501287445856794101387456101650169867610
+38787632278112390789043016532943893232297887232789856701521
+29698543465243654632132105621032124540196996243456765432430
+10101012354305783541245094765021043256785432123455965432107
+67652765410216792150956783876107650122312301098767874345698
+58543894324345891067810782987238987201406784567854901236787
+49987685456543282123425691096543271230545493201993210340123
+32106452567650112054534567899454100045654320192387651259654
+40045321898342106567651056928767652198743410887434540568798
+51235430210289287438122345210178943329652378976543039875687
+67896787320176396129034434356598712410701237010132128064516
+10765698451965445001545423347895606549890796521243989123105
+23896787567843234652436710212874307432037887430145478798234
+34785896765432128763429876108963218901126986543234567017345
+25634789854578019854210785654851019985435100125676454156236
+18721034563689108943218798743344328776434234234981043205145
+09343123872672397654309654312235899643421965547872124314076
+43216012901521087898701211201156732554310876958943235023489
+56905438765432076985654300321076541467215467867654332133012
+47876329034310145676701098730987210398706326321038949874323
+56981010123421234565892345645678901237987015432127654365434

2024/d11/ex1/ex1.py

@@ -0,0 +1,35 @@
+#!/usr/bin/env python
+
+import sys
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> list[int]:
+        return [int(n) for n in input.split()]
+
+    def blink(stones: list[int]) -> list[int]:
+        res: list[int] = []
+        for n in stones:
+            if n == 0:
+                res.append(1)
+            elif len(str(n)) % 2 == 0:
+                s = str(n)
+                lhs, rhs = s[: len(s) // 2], s[len(s) // 2 :]
+                res.extend((int(lhs), int(rhs)))
+            else:
+                res.append(n * 2024)
+        return res
+
+    stones = parse(input)
+    for _ in range(25):
+        stones = blink(stones)
+    return len(stones)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d11/ex1/input

@@ -0,0 +1 @@
+0 7 6618216 26481 885 42 202642 8791

2024/d11/ex2/ex2.py

@@ -0,0 +1,37 @@
+#!/usr/bin/env python
+
+import sys
+from collections import Counter
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> Counter[int]:
+        return Counter(int(n) for n in input.split())
+
+    def blink(stones: Counter[int]) -> Counter[int]:
+        res: Counter[int] = Counter()
+        for n, count in stones.items():
+            if n == 0:
+                res[1] += count
+            elif len(str(n)) % 2 == 0:
+                s = str(n)
+                lhs, rhs = s[: len(s) // 2], s[len(s) // 2 :]
+                res[int(lhs)] += count
+                res[int(rhs)] += count
+            else:
+                res[n * 2024] += count
+        return res
+
+    stones = parse(input)
+    for _ in range(75):
+        stones = blink(stones)
+    return sum(stones.values())
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d11/ex2/input

@@ -0,0 +1 @@
+0 7 6618216 26481 885 42 202642 8791

2024/d12/ex1/ex1.py

@@ -0,0 +1,67 @@
+#!/usr/bin/env python
+
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+    def neighbours(self) -> Iterator["Point"]:
+        for dx, dy in (
+            (-1, 0),
+            (1, 0),
+            (0, -1),
+            (0, 1),
+        ):
+            yield Point(self.x + dx, self.y + dy)
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> dict[Point, str]:
+        return {
+            Point(x, y): c for x, line in enumerate(input) for y, c in enumerate(line)
+        }
+
+    def find_plots(garden: dict[Point, str]) -> list[set[Point]]:
+        res: list[set[Point]] = []
+        visited: set[Point] = set()
+
+        for p, plant in garden.items():
+            if p in visited:
+                continue
+            plot: set[Point] = set()
+            to_visit = {p}
+            while to_visit:
+                p = to_visit.pop()
+                visited.add(p)
+                plot.add(p)
+                assert garden[p] == plant  # Sanity check
+                for n in p.neighbours():
+                    if garden.get(n) != plant:
+                        continue
+                    if n in visited:
+                        continue
+                    to_visit.add(n)
+            res.append(plot)
+        return res
+
+    def fence_price(plot: set[Point]) -> int:
+        area = len(plot)
+        perimeter = sum(n not in plot for p in plot for n in p.neighbours())
+        return area * perimeter
+
+    garden = parse(input.splitlines())
+    plots = find_plots(garden)
+    return sum(map(fence_price, plots))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d12/ex1/input

@@ -0,0 +1,140 @@
+TTTTTTTTTTTTTTDDDDDDDDDDDDAAAKKKKKKKKKKKKKKKKKKKKKKKRRRRRRRRRRRRRXXXXXXXXXXZFFFFFFFFFFOFVVVVVVQQQQQUQQQQQQQQQQQQQQQQQCCGGNNNNHHHHHHHHHHHHHHH
+TTTTTTTTTTTTTTDDDDDDDDDDDDAAAAAAKKKKKFKKKKKKKKKKKKKKRRRRRRRRRRRXXXXXXXXXXXXZFFFFFFFFFFFFFFFVMMQQQQQQQQQQQQQQQQQQQQQQQGGGGNNNNHHHHHHHHHHHHHHH
+TTTTTTTTTTTTDDDDDDDDDDDUAAAAAAAAAKKFFFKKKKKKKKKKKKKKRRRRRRRRRRXXXXXXXXMXMMFFFFFFFFFFFFFFFMMMMMNQQQQQQQQQQQQQQQQQQQQQZZGGNNNNHHHHHHHHHHHHHHHH
+TTTTTTTBTTTTDDDDDDDDDDUUUAAAAAAAKKKKFFKKKKKKKKKVLLLLLRRRRRRRRRXXXXXXXMMMMMFMMMMFFFFFFFFFXMMHMMNQQQQQQQIQQQQQQQQQQQQQQQGGNNNNVVVHHHHHHHHHHHHH
+TTTTBTBBTTTTDDDDDDDDDDUUUAAAAAAAKKKFFKKKKKKKKKNLLLLLLRRRRRRRRRXXXXXXXMMMMMMMMMFFFFFFFFHXXXMHHNNQQQQQQQIIIQQQQQQQQQQQQQGGVVVVVOHHHHHRRRHRHHHD
+TBBBBBBBTTTTDDDDDDDDUDUUUAAAFAAAKKKFFKFFFKKKKKKWWLLLLRRRRRROOOOOXBMMMMMMMMMMEFFMFFFFHHHHXMMHHHHQQQQQQQQIIQQQQQQQQQQQGGGGGVVVVVVZHHXRRRRRHDHD
+BBBBBBBBBTTTDDDDDDDUUUUUUGUFFFFKKKKKKFFFKKKKKKKWLLLLLLRRRROOOEOOOMMMMMMMMMMMMMUMMFFFFFHHHHHHHHHQQQQQIIIIIIQQIQQIIQQQUGGGGVVZVZZZZZRRRRRRDDHH
+BBBBBBBBTTTTDDDDDDXUUUUUUUUFFFFKKKKKKFIFKKKKKKKKLLLLLLRRLLOOOOOOOOMMMMMMMMMMMMMMFFFFFFHHHHHHHHHHHZZIIIIIIIQIIQQIIQQQGGGGGGGZZZZZZZRRRRMMHHHH
+BBBBBBBBTTTTDDXXXXXUUUUXUUFFFKKKKKKKKFEEKKKKKKKKKFLLLLLLLOOOOOOOOOMMMMMMMMMMMMMMFFFFFFFHHHHHHHHHHIIIIIIIIIIIIIIIINQQGGGGGGGZGZZZZZRRRRRRHHHH
+BBBBBBBBBBDDDDXXXXUUUUUUSFFFFKKKKKKEEEEEEKKKKKKKKFKKKLLLLLTOOOOOOOOOMMMMMMMMSWSFFFFFFFFHIIIIHHHHHMMIWIIIIIIIIIIGGGGGGGGGGGGGGGZZZZRRRRRRNHHH
+BBBBBBBBBBBDXDXXXXXXOOOOOOOOOOKKKKEEEEEKKKKKKKKKKKKKKLLLLLOOOOOOOOOOOOMMMMMMSSSSSFFFFFHIIIIIHHHHHIIIIIIIIIIIIIWGGGGGGGGGGGZGGZZZZZZRRNNNNHHN
+BBBBBBBBBBBDXXXXXXXGOOOOOOOOOOXKKKKEEEEEKKBKKKNKKKKKKKKLLLLOOOOOOOOOOOMMLLMMSSSSSSFFFFHIIIIIHHHHHIIIIIIIIIIIIIIIGGGGGGGGGGZZZZZZZZZRRRRRNHHN
+BBBBBBBBBBBBXXXXXXXXOOOOOOOOOOKKKKKKXEEEEEENKNNNKKLLKKKKLLLLLOOOOLOOLLLLLLLSSSSSSSFFFHHIIIIIHBHHHIIIIIIIIIIIIIIGGGGGGGGGGGZZZZZZZZZRZRRNNNNN
+BBBBBBBBBBBBBXXXXXXXOOOOOOOOOOXKXKKKKEEEEEENNNNNNLLLLKKKLLLLLOOOLLLLLLLLLLLSSSSSSSFFFFFIIIHBBBHHHIIIIIIIIIIIICCGGGGGGGGGGGZZZZZZZZZZZRRNNNNN
+BBBBBBBBBBBBCXXXXOOOOOOOOOOOOOXKXKKKKESSSSSSNNNLLLLLLKOOLLLLLOLLLLLLLLLLLAAASSSSSSSFFFFIIIBBBBBBIIIBIIIIIIIICCCGMGGGGGGGGZZZZZZZZZZZNNRNNNNN
+BBBBBBJBBBBXXXXXXOOOOOOOOOOOOOXXXKKKXESSSSSSSSSSSLLLLLLOOLOLLLLLLLLLLLAAAAAASSSSSSSFFFFIIIVBBBBBBIBBBIIIIIIIICGGGGGGGGGGGZZZZZZZZZZZNNNNNNNN
+BBBBBBBBBBXXXXXXXOOOOOOOOOOOOOXXXXNKXXSSSSSSSSSSSLLLLLOOOOOLLLLLLLLLLAAAAAAASSSSSSSSZFFFBBBBBBBBBBBBBBIIIIIIICCXXXGGGGGGGGGIZZZZZZZNNNNNNNNN
+FBBAABABBBFXXXXOOOOOOOOOOOOOOOXXXXNKXSSSSSSSSSSSSLLLLLLOOOOLLLLLLLLLEWAAAAAASSSSSSDDZFFFBBBBBBBBBBBBBBBIIIIICCCCCXGGGGGGGIIIZIIIZNZNNNNNNNNN
+FBBAAAAAAAXXXXXOOOOOOOOGGGVVVXXXXXXXXSSSSSSSSSSSSLLLLLLOOOOOOLOOOLLLEEEEAAASSSESSSDDZFFFBBBBBBBBBBBBBBBIBBIIIIIIIIXGXXGGIIIIIIIIINNNNNNNNNNI
+FBFAAAAAAAAAXXXOOOOOOOOGGGVVVXXXXXXXXSSSSSSSSSSSSLLLLLLOOOOOOOOOOLLEEEEAAAATSSSSDDDZZFZZSSSBBBBBBBBBBBBBBBIIIIIIIIXXXXIIIIIIIIIIINNNNNNNNNNI
+FFFFGAAAAAAAXLXOOOOOOOOGGGVVVXXXXXXXXSSSSSSSSSSSSLLLLLOOOOOOOOOOLLLEEEEAAAAASDDDDDZZZZZSSTTBBBBBOOBBBBBBBBIIIIIIIIXXIIIIIIIIIIIIIINNNNNNNNII
+FFGGGAAAAAAAXAAOOOOOOOOGGGGVVXXXXXXXXSSSSSSSNNNNLLLLLOOOOOOOOOOOLLLLEEELXDADDDDDDDZZZZZSZZTBBBBBOOOBBBBBBBIIIIIIIIXXXIIIIIIIIIIINNNNNNNNNNII
+FFFGGGGAAAAAAAAOOOOOOOOGVVGVVVVXXXXXXSSSSSSSNNLLLLBLLOOOOOOOOOOOLLLEEXXXXDDDDDDDDDZZZZZZZTTTTBBOOOBBBBBBBIIIIIIIIIXXIIIIIIIIIIINNNNNVNNVNNNI
+FFGGGPGALAAAOOOOOOOOOOOGVVVVVVVVXXXXXSSSSSSSNDDLLLLLLOOOOOOOOOOOOLLEEXXXXXDDDDDDDZZZZZZZZTTTBBOOOOOOBBBIIIIIIIIIIIIIIIIIIIIIIINNNNVVVVNVFNII
+GGGGGPGGLLAAOOOOOOOOOOOVVVVVVVXXXXXXXXXXDDDDDDDDLDDOOOOOOOOOOOOOTXXXXXXXXXXDDDDDZZZZZZZZZTTTTBBIOOOOBBBIIIIIIIIIIIXXXIIIIIIIINNNVVVVVVVVFJII
+GGGGGGGGGGGIOOOOOOOOOOOEVVVVVVXXXXXXXXXXDDDDDDDWWWWOOOOOMOOOOOOOXXXVXXXXXXXXDDDDZZZZZZZZZZTTTTLIIIIOOOOIIIIIIIIIIIXXXXIIIIIIINNNNVVVVVVVJJJI
+GGGGGGGGGGGIOOOOOOOOOOEEEEVVVVVXXXXXXXXXDDDDDDDWWWWWWWWWWOOHHOOXXXXXXXXXXXXDDDDDZZZZZZZZZZZZZZLIIIIIIIOIIIIIIIIIIIXXXXIIIIIIINNNNVVVVVVVJJJJ
+GGGGGGGGSGSMOOOOOOOOOOEEEVVVVVVVXXBXXDXDDDDDDDDWWWWWWWWWWHHHHOKGGGXXXXXXXXXDDDDDZZZZZZZZZNNNNIIIIIIIIOOIIIIIIIIIIXXXXIIIIIIINNNNNNNVVVVVVJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLVVVSVVXXBBDDDDDDDDDDDWWWWWWWWWWHHHHGGGGGXXXXXXXXDDDDDVCZZZZZZZNNNNNIIIIIIIIIIIIIIIIIIIIXXXXIIIIIIIINNNNNTVVVVJVJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSXXXBDDDDDDDDDDDDWWWWWWWWWWHHHHGGGGGGXXXXXXXXDDDVVCCCZZZZIIIINNIIIIIIIIIIIIIHHHHXHHXXXXIIIIIINNNNNNNNLLLLJJJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSSSDDDDDDDDDDDDDDWWWWWWWWWWHHHHGNNGGGGGXXXXXXVVVYVVCVZZZIIIIINIIIIIIIIIIIIIIHHHHHHHXXXXIIJIIINNNNNNNNNLLLJJJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSSDDDDDDDDDPPDDDDWWWWWWWWWWHHHGGGGGGGGGXXXXXXVXVVVVVVVFZZIIIIIIIIIIIIIIIIIIIHHHHHHHXXXGGIIYNNNNNNNNNNQLLLJJJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSSSSSDSSSDDDPDDDDWWWWTHHTHHHHHHGYGGGGGGSXXXXXXXVVVVVVVFIIIIIIIIIIIIIIIIIIIIIHHHHHHHXXXGGYYYNNNNNYNNNNLLLLLLJJJ
+GGGGGGTWWWWWWWSOOOOOOOLLLLLVVSSVSSSDSSDDDDDDDDDWWWWTTHTTHHHHHGYGHGGGGGXXXXXXVVVVVVFFFIFFFIIIIIIIIIIIIIBHHHHHHHHHHHHGGGGYYNYYYYYNLLLLLLLLLJJJ
+GBBBBBBWWWWWWWSOOOOOOOLLLLVVVVVVVSSSSSSSDDDMDDDDDDDTTTTTHHHHHGYGHHHHGHHHSXXXXVVXXVFFFFFFFIIIIIIIIIIMIBBBBHHHHHHHHHHGGGYYYYYYYYYYLLLLLLLLLJJJ
+WBBBBBBWWWWWWWSSSSLLLLLLLLLVVVVVVVSSSSSDDDDMMMDDDDDTTTTTTTTTHGGGGHHHHHHSSSSXXVVVXXXFFFFFFFIIIIIIIIIIIBZZBBHHHHHHHHHGGGYYYYYYYYYXLLLLLLLLLLJJ
+GBBBBBBWWWWWWWSSSLLLLLLLLLLVVVVVVVSSSSSDDDDDMMMMMMTTTTTTTZZHHZZHHHHHHHSSSGSXXXXXXXFFFFFFIIIIIIIIZIZZZZZZBHHHHHHHHHGGGGGGYYYYYYYXXLLLLLLLLJJJ
+GBBBBBBBBJJJJJSSSSSLLLLLLLLVVVVVVVVVSSSDSSSMMMMMTTTTTTTTTTZZZZZZHHHHSSSSSSSSSSSSXFFFFFFFFIIIIIIZZZZZZZZZBHHTTTHHHGGGGGGGYYYYXXXXXXXLLLLLJJJJ
+LBBBBBBBBJJJJSSSSSSSHLLLLLLOOVVVVVVVVVSSSSSMMMMMMMTTTTTTTTZZZZZZZZZSSSSSSSSSSSSSFFFFFFFFFIIIZIZZZZZZZZZZZZTTTHHHHGGGGGGGGYYXXXXXXXXXLLJLJJJJ
+VBBBBBBBBJJJSSSSSSSSWLBLLLOOOVVVVVVVOZZSZSMMWMMMMTTTTTTTTTZZZZZZZZZCSSSSSSSSSSJJJJJFFFFFFFFZZZZZZZYYYYYYYYYYTTHGGGGGGGGGYYXXXXXXXXXXXLJJJJJJ
+VBBBBBBBBJJSSSSSSSSSWWLLLLOOOOVVVVVOOZZZZMVMMMMMMTTTTTTTTZZZZZZZZZZZSSSSSSSSSSSSSJFFFFFFFFLLNZZZZZYYYYYYYYYYTTGGGGGGGGGGYYYXXXXXXXXXXLJJJJJJ
+VBBBBBBBBJSSSSSSSSSSWLLLLLLOOOOOOOOOOZZZZMMMMMMMMMTTTTTTTYZZZZZZZZZZZZSSSSSSSSSSSFFFFFFFFFLLZZZZZZYYYYYYYYYYTTGGGGGGGGGGYYYXXXXXXXXXXJJJJJJJ
+VJJJJBBBBJLSSSSSSSSWWWLLWLOOOOOOOOLOZZZZZZMMMMMMMVTTTTTTTZZZZZZZZZZZSSSSSSSSSSSSSSFFFFFLLLLLZZZZZZYYYYYYYYYYTTTFFGGGFGGQQQYXCCXXXXXXXXJJJJJJ
+VVVJJBBBBLLLSSSSSSSWWWWWWWWOOOWWOLLLZZZZZZNNMMMMQTTTTTTTMMMMZZZZZZEZZSSSSSSSSSSSSLFLLFFLLLLLLZZZZKYYYYYYYYYYTFFFFGFFFGQQYYYPKCKXXXXVJJJJJJJJ
+VVVJJBBBBLLLLSSSSSSWWWWWWWWWOWWWLLLLLLZZZZZNNMMQQTTTTTTMMMMMZZZZZZESSSSSSSSSSSLSSLLLFFFLLLLLLLLLZLYYYYYYYYYYFFFFFFFFFQQQYYYPKKKKKBBJJLJJJJJJ
+BBBBJPPJLLLLLSQQLWSWWWWWWWWWOWWWLLLLLLZZZNNNNMMMTTTTTTMMMMMZZYZYYYESSSKKKSSSSLLLLLLLFLLLLLLLLLLLLLYYYYYYYYYYTFFFFFFFFQQQPPPPPKKKKBBLILJJLJJJ
+LLLLLPPJFLLLLLLLLWWWWWWWWWWWWWWWLLLLLLLLLMNMMMMTTTTTTMMMMMMMHYYYYYYYSSKKKSSSSSSSLLLLLLLLLLLLLLLLLLYYYYYYYYYYTFFFFFTTTQQTPPPXPKTKKBBLLLLLLLLJ
+LLLLLLLFFFLLLLLLLWWWWWWWWWWWAAAAZZZLLLLLMMMMMMMMMMTTTTMMMMMMMMMYYYYYYYKKKSSSSSSSLLLLLLLTTTLLYYYYYYYYYYYYYYYYFFFFFFFTQQQTPPXXTKTKPLLLLLLLLLLL
+LLLLLLLFFLLLLLLLLLWWWWWWWWWWAAAAZZZZZLLLMMMMMMMMMMMMMMMMMMMMMMYYYYYYYYYKTTTTTSSTTTTLLTLLTLLLYYYYYYYYYYYTTAAAAAFFFFZTTQTTXXXXTTTTTLLLLLLLLLLL
+LLLLLLLLLLLLLLLLLLBOOOWWWWWWAAAAZZZZZLZLLMMMMMMMMMMMMMMMMMMMMMYYYYYYYYYKKTTTTTTTTTLLTTTTTTRRYYYYYYYYYYYTTAAAAAZZZZZTTQTTTXXTTTTTTTLLLLLLLLLL
+LLLLLLLLLLLLLLLLLLOOOOWWWWWWWWAZZZZZZZZZLLJPPMMMMMMMMMFFFFFMMYYYYYYYYYTTTTTTTTTTTLLTTTTTTTTRYYYYYYYYYYYOOOAAAAAZZZZZTTTTTTTTTTTTTTLLLLLLLLLL
+LLLLLLLLLLLLLLLLOLOOOOOWWWWWWAAZZZZZZZZZLJJPPPMLMMMMMMFCFFFMMYYYYYYYYTTTTTTTTTTTTTLLTTTTTTRRYYYYYYYYYYYOOAAAAAZZZZZZTTTTTTTTTTTTULLLLLLLLLLL
+LLLLLLLLLLLLLLLOOOOOOOOWWWWLLLAAAZZZZZZZLLJJPPMLMLLMFFFFFFFFMYYYYYYYYYYTTTTTTTTTTTTTTTTTTRRRYYYYYYYYYYYAAAAAAAZZZZZZZTTTTTTTTTTTTLLLLLLLLLLL
+LLLLLLLLLLLWLLLLOOOOOOOOWWBLLLALAAZZZZLLLLJJPPLLLLLMFFFFFFFFFFYYYYYYYYYTTTTTTTTQTTTTTTTTRRRAYYYYYYYYYYAXXXAAAAAAAAZZTTTTTTTTTTTTFFFWLLLLLLLL
+LLLLLLLLLLLLLLLLZOOOOOBBBBBLLLLLZZZZLLLLLIJJPLLLLLLMFFFFFFFFFFYYYYYYYYYYYYTTTTTTWTTTTTTRRRRRYYYYYYYYYYAACCCQQAAAAFCZTTTTTTTTTTTTTFWWLLLLLLLL
+LLLLLLLLLLLLLLLLLSOSSSBBBBBLLLLLLZLLLLILIILLPLLLLLLLFFFFFFFFFFFYYYYYYYYYTTTTTTTWWTTTTTTRRRRRAAAAAAAAAAAACCCCCAAAAFCTTTTTLLLLLLLLWFWWLLLLLLLL
+LLLLLLLLLLVLLLYLSSSSSSSSBBLLLLLLLLLLLLIIIIILLLLLLLCCCCCCCCFFFFFFYYYYYYYYTTTTWTTWWWTTTWTTTRRRRRAAAAAAAAACCCCCCCAAACCCCRTTLLLLLLLLWWWWWLLLLLLL
+LLLLLLLLLLLWLSSSSSSSSSSBBBLLLLLLLLLLLIIIIICCCCCCCCCCCCCCCCFFFFFFFYYYYYYYTTTTTTWWWWWTWWTRRRRRYAAAAAAAAAACCCCCCCCCCCCCCTTTLLLLLLLLWWWWWWLLLLLL
+LLLLLLLLLLLWWWSSSSSSSSBBBBLLLLLLLLLLLIICCCCCCCCCCCCCCCCCCCFFFFFFYYYYYYXYTGTTTTWWWWWWWRTRRRRRRAAAAAAAAAACCCCCCCCCCCCCCCCTLLLLLLLLWWWWWWWLLLLL
+LLLLLLALLLLLWWSSSSSSSSBBBLLLLLLLLLLLLIICCCCCCCCCCCCCCCCCCCPPPFFPYYYYYYXXXGTTTTXWWWWWWRRRRRRRRAAAAAAACCCCCCCCCCCCCCCCMMMMLLLLLLLLWWWWWWLLLLLL
+ALLLLLAAAWWWWSSSSZSSSSSBBLLLLLLLLLLLCCCCCCCCCCCCCCCCCCCCCCFPPPPPPYYYYXXXXXXXXXXXXWWWRRRRRRRRRAAAAAACCCCCCCCCCCCCCCCCCCMMLLLLLLLLWWMMMMVLLLLL
+AAAAAAAAWWWWWWWSZZSSSOOBBLLLLLLLLLLLCCCCCCCCCCCCCCCCCCCCCCPPPPPPPYYYYVXXXXXXXXXXWWRRRRRRRRRAAAAAAAAYYCCCCCCCCCCCCCCCCMMMLLLLLLMMWWMMMMVVVVLL
+AAAAAAAAWWWWWWWWWOSSSZOOBLLLLLLLLLLICCCCCCCCCCCCCCCCCCCCCCPPPPPPPYYYYYXXXXXXXXXXWWRRRRRRRRRRAAAAAAAYYYYCCCCCCCCCCCCCCMWWLLLLLLMMWMMMMMMVVVVV
+AAAAAAAAIWDDWWWWOOSSSOOLLLLLLLLLLLLLCCCCCCCCCCCCCCCCCCCCCCPPPPPPPPPPPXXXXXXXXXXXWWRRRRRRRRAAAAAAAAAAYYYCCCCCCCCCCCCCCHWWLLLLLLMMMMMMMMMVVVVN
+AAAVAAAKBBDDWWWOOOOOOOOOLLLLLLLLLLLUCCCCCCCCCCCCCCCCCCCCCCPPPPPPPPPPXXXXXXXXXXXXWWRRRRRRRRAAAAAAAAAAYYYYYCCCCYYYYOHHHHWMLLLLLLMMMMMMMMMVVVVV
+AAAVAAAKBBIIIOOOOOOOOVVOOVVVZZZLLLUUUUUUUUUUUIIICCCCCCCCCCPPPPPPFPPFFFHXXXXXXXXPAAARRRRAARRAAAAAAAAAYYYYYYYYYYYYYYHHHHWWLLLLLLMMMMMMMVVVVVVV
+AAAVVAAKBBIRIOOOOOOOOOVVVVVVVZLLLLUBUUUUUUUUUIIICCCCCCCCCCPPPPPPFFPFFFXXXXXXXXNAAAABRRAAAAAAAAAAAAAAAYYYYYYYYYYYYYHYYWWMLLLLLLNMMVMVVVVVVVVV
+AAAVVVBBBBRRIOOOOOOOOOVVVVVVVZSSLLLUUUUUUUUUUIIACCCCCCCCCCPPPPPPFFFFFFXXXXUXXNNAAABBRRKKAAAAAAAAAAAAAYSYYYYYYYYYYYYYYWWWLLLLLLNNMVVVVVVVVVVV
+AAAAAVBBBBRRIOOORROOOOOVVVVVVSSLLLUUUUUUUUUUCCCAAAPPPPPPPPPPPPPPPPFFFXXXXXXNNNNAAAAAAKKKKKKAAAAAAAAAAYSSYYYYYYYYYYYYYYWWLLLLLLNVVVVVVVVVVVVV
+AAAAABBPRRRRROGRROOOOOOVVVVJJSSSLLLUUUUUUUUUUCCAAAAPPPPPPPPPPFFFFFFFFXXXXXXXXNNAAAAAAKKKKKKAAAAAAAAAAYSZSYYYYYYYYYYYYYNNNNNNNNVVOOVVVVVVVVVV
+AAAAAPPPRRRRRBRRRROOOOOVVSFSSHSSSSLLUUUUUUUUUUMMMMMPPPPPLIIPPPFFFFFFFXXXXXXXXNNAAAAAKKKKLLAAAAAAAAAAAASSSZYYYYYYYYYYYYNNNNNNNNVVNOVVVVVVVVVV
+AAGGAPPRRRRRRRRRRROOOOOBVSFSSSSSSSLUUUUUUUUUUMMMMMMPPPPMIIIIIINNFFIFXXXXXXXXXNNAAAAAALLLLLGAAAAAAAAAAASSSZSSYYYYYYYYYNNNNNNNNNNNNVVVVVVVVVVV
+AAGGRPRRRRRRRRRRRGOOOOOOOSSSSSSSSSLLUUUUUUUUMMMMMMMPPPMMIIIIIIIIFFIIXXXXXXXXAOAAAAAAALLLLLLLAAAAAAASSSSSSSSSYDYYYYYYYYNNNNNNNNNOOOVVVVVVVVVV
+GGGGRRRRRRRRRRRRRRBBBBOOOSSSSSSSSSSLULUUUUUUUMMMMMMPPPMMMIIIIIIIIIIHOOOOOOOOOOXAAAAAAALLLLLCASADSASSSSSSIISSYDDDDDYYYYNNNNNNNNNOOOOOVVVVVVVV
+GGTTRRURRRRRRRRRRVVBBBAKSSSSSSSSSSLLLLUUUUUMMMMMMMMMPPMMIIIIIIIIIIIIOOOOOOOOOAAAAAAAAAALLLLAASSSSAASSSSSSSSSYDDDDNNMMYYNNNNNNNNNNOOOVVVVVVVV
+OOFTTTRRRRRRRRRRRVVBBBASSSSSSSSSSSSLSLUUUUUMMMMMMMMMMPMIIIIIIIOOOOOOOOOOOOOOOAAAAAAAAALLLLLTASSSSASSSSSSSSSUDDDDDNNNNNNNNNNNNNNNNOOOVOVVVVVV
+OOOTTTRRRRRRRRRRRVVVBBAAASSSSSSSSSSSSLLLUUUMMMMMMMMMMMMIIIIIIIOOOOOOOJJJJJOOOOAAAAALLLLLLLLTSSSSSSSSSSSSSSSUDDDDDDDDNNNNNNNNNNNNNNOOOOOOOVNN
+OOOOTRRRRRRRRRRRRVVVBBAAASSSSSSSSSSSSLLLUUMMMMMMMMMMMMMMMIIIIIOOOOOOOJJJJJOOOOOAAAAIIILLLLTTTTSDSSSSSSSSSSSDDDDDDDDDINDNNNNNONOOOOOOOOOOOVNN
+OOOORRRRRRRRRRRRRRVVAAAAASSSSSSSSSSSLLLLMMMMFMMOOMMMMMMMMIIOOOOOOOOOOJJJJJOOOZOAAAAIIILLLLLLTSSSSSSSSSSSSSSDDDDDDDDDDLNNQNNOOOOOOOOOOOOOOOOO
+OOORRRRRRRRRVVVRRVVVAAAAAAHSSSSSSSSSLLLLLMMMMMMOOOMMMMMMIIIOOOOOOOOOJJJJJJJZZZAAAAIIQLLLLLLLLLSSSSSSSSSSSSSDDDDDDDDLLLNNQQNOOOOOOOOOOOOOOOOO
+OORRRRRVRRRRVVVVVVVAAAAAAAASSSSSSSSSLLLLLLMMMMOOOOOOMMCCIIIOOOOOOOOOOOJJJJJJZAAAAAIQQLLLLLLLLOSSNNSSNNNSSSSDDDDDDDDLLLLNQQNLOOOOOOOOOOOOOOOH
+OORRMMVVRRRRVVVVVVVAAAAAAAASSSSSSSSSLLLLLLLLMLOOOOOOOMCCOIIOOOOOOOOOOOJJJJJZZAAAAAAAQLLLLLLLLOSSONSSNNNSSSSGGDDDDDLLGGGQQQOOOOOOOOOOOOOOOOHH
+RRRMMMMVVVVVVVVVVAAAAAAAAAASSSSKKHHHHKLLLLLLLLOOOOOOOMCCCCIOOOOOOOOOOOJJJJJJAAAAAAAAQQLLLLLLLOOOONNNNRRNONSSGDDDDDLLGGQQQQCOOOOOOOOOOOOOHHHH
+MMMMMMMMVVVVVVVVVVAAAAAAAAAAASSKKHHJJKLLLLLLLLOOOOOOOOCCCCKOOOOOOOOOOOJZZZJJJAAAAAAQQLLLLLLLLLOONNNNNNNNNNGGGDDDDGGGGGQQQCCCCOOOYOOOOOFHHHHH
+SSMMMMMMVVVVVVVVVAAAAAAAAAAASSSKKKHHKKLLLLLLOLOOOOOOOCCCCCCOOOOOOOOOOOZZZZZZFZZZZZZQQLLLLLLLLLOOONNNNNNNNGGGGGGDGGGGGGQQCCCCCOOOOOOOOFFHHHHH
+SMMMMMMMMMMVVVVVAAAAAAAAAAFAAKKKKKHKKKKKLLLOOOOOOOOOAACCCCCOOOOOOOOOJJJZZZZZZZZZZZZZQLLLLLLLLOOOONNNNNNNNGGGGGGDDGGGGGGCCCCCCCZZZOOOOFFFFHHH
+SSSMMMMMMMVVVVVVAAAAAAAAAAFIYIKKKKKKKKKKKKKOOOOOOOOOOACCCCCJJJJJJJJJJJZZZZZZZZZZZZZZLLLLLLLLLOOOONNNNNGGGGGGGGGGGGGGGGGGCCCCCZZHHOOFEFFFFFFF
+VSVVMMMMMMMVVVVVAAIAAIAIIIIIIIIKKKKKKKKKKKSSOOOOOOOOOACCCCJJMJJJJJJJJZZZZZZZZZZZZZZZSSSSSSSULOOOONNNNNGGGGGGGGGGGGGGGGGGCCCCCZHHHHFFFFFFFFVV
+VVVVMMMMMMMVVVVVAVIIIIIIIIIIIIKKKKKKKKKKKKSSOOKKKKOQUACCCJJJJJJJJJJJZZKZZZZZZZZZZZZSSSSSSSSOOOOOGGNNGGGGGGGGGGGGGGGGGGGCCCCHHZHHHHHFFFFFFFFV
+VVMMMMMMVVVVVVVVVVIIIIIIIIIIIKKKKKKKKKKKKKDDDDDKKUOUUUULLJJJJJJJJRRRRZZZZZZZZZZZZZZSSSSSSSSOOOOOGGNNGGGGGGGGGGGGGGGGGGCCCCCHHZHHHHHYHFFFFFFF
+VVVVVVVMVVVVVVVVIIIIIIIIIIIIIKKKKKKKNNKKKDDDDDDKKUOUUUULLLJJJJJJJRRRRRRZZZZZZZZZZZZSSSSSSSSOOOOOOGGGBGGGGGGGGGGGGGGZZGCCCCHHHHHHHHHHHJFFFFFF
+VVVVVVVVVVVVVVVVIIIIIIIIIIIIIIRKKKKKPNNNNNDDDDDDDUUUUUUULLJJJJJJJRRRRRRBRZRZZZUZZZZSSSSSSSSOOOOOOGGGGGGGGGGGGGGGGGGGGGCCCHHHHHHHHHHHHFFFFMFO
+VVVVVVVVVVVVVVVIIIIIIIIIIIIISSSTTKDDDNDDDDDDDDDDDDUUUUUUSLLJJJJJJZZRRRRRRRRRRRUZZZZSSSSSSSSOOOOOOGGGGGGGGGGGGGGGGGGGIGCCCCCCHHHHHHHHHIIFFVVV
+VVVVVVVVVVVPVVIIIIVIIIIIIIISSSSSSSSGDDDDDDDDDDDDDDUUZZZZZZZZJJOJJJRRRRRRRRRRRRUZYZZSSSSSSSSOOOOGGGGGGGGGGGGGFGGGGGGKOCCCCCCCMHHHHHHHHHHNNVVV
+VVVVVVVVVVUUVVUUIIIIIIIIIIISSSSSSSGGDDDDDDDDDDDDDDDUZZZZZZZZJJOOJJJRRRRRRRRRIRUUYYOSSSSSOOOOOOOOGGGGGGGGGGGGGGGGGGGOOOOOCCMCMMHHHHHHHHHHVVVM
+VVVVVVVVVUUUUUUUIIIIIITISSIISSSSSSSSDDDDDDDDDDDDDDDIZZZZZZZZJJOOOJRRRRRRRRRRUUUUYYYSSSSOOOOOOOOGGGGGGGGGGGGGHHHHTGTTOOOOOOMMMMMMHHHHHHHMMVVM
+PVVVVVVVUUUUUUUUIIIIISSSSSSSSSSSSSSSDDDDDDDDDDDDDZZZZZZZZZZZOJOORRRRRRRRRRRUUUUUUUUSSSSOOOOOOOOPPGGGGGGGGGGHHHHHTTTOOOOOOOMMMMMMMHMMHHHMMMMM
+PVXVVVVVVUUUUUUUUIIISSSSSSSSSSSSSSGFFDDDDDDDDDYYDZZZZZZZZSSOOOOOOORRRRRRRJUUUUUUUUOSSSSOOOOOOPPPPGGGGGGGGGGHHHHHTTOOOOOOOOOMMMMMMMMHHHHHHMMM
+PPVVVVVVEUUUUUUFUUFJJFSSSSSSSSSSSSFFFIDDDDDYYDDYYZZZZZZZZSSSXOOOOOORROZRRJJUUUUUUUUSSSSOOOOOOOPPGGGGGGGGGGGGHHHHTTTOOOOOOOOMMMMMMMMHHHHHMMMM
+PPPPVVVVEEEUUUFFFFFFFFSSSSSSSSSSSSFFFFDDDDDRYYYYIZZZZZZZZXXYXXOOOOORROORRQJUUUUUUUUUOOOOOOOPPPPPGGGGGGGGHGHHHHHHTTTOOOOOOOMMMMMMMMMAMUUHHHMM
+PPPPPEVEEEEEEYFFFFFFFFFSSSSSSSSSSSSFFFDDDDDDYYYYYZZZZZZZZXXXXXXOOOOOOOOQQQJUUUUUUUQOOOOTOOOPPPSSSSGGGGGHHGHHHHHHTTTOOOOXXOOMMMMMMMMAMUUUHMMM
+PPEEEEVEDEEEYYFFFFFFFFFSSSSSSSSSSSFFFDDDDDDYYYZZZZZZZZZZZXXXXXXOOOOOOQOQQQJUUUUUUUQQOOOOXOOPPPPSSSGGGGGHHHHHHHHHHHTTOOOXXXXMMMMMMMMMMUUUHMMM
+PPEEEEEEEEYYYYFFFFFFFFFSSSBSSSSSSFFFFFDFDDDYYYZZZZZZZZZZZXXXXXXOOOOOQQQQQQJUUUUUQQQQQQQQOODPPPPSSBBGGGGHHBHBHHHHHTTTTTTXXXMMMMMMMMMMMUUUGGGG
+PPEHEEEEEEEYYYFFFFFFFFBBBBBSSSSSSSFFFFFFDYYYYYZZZZZFXXXXXXXXXXXOOOOOUOQQQQUUUUUUQQDDDQQQQQDDDPPSGBBKBOBBBBBBHHHHHTLTTTTXXXXMMMMMMMFFUUGGGGGG
+PPPEEVEXEEYYYYFFFBBFFBBBBBBBSSSSSFFFFFFFYYYYYYZZZZZFFXAXXXXXXXXXOOOOOOQQQQQURUUUVQDDDDDDJQDPPPPSGGBBBBBBBBRRHHHLLLLLLTTTXXXXXXMMTFFFUGGGGGSS
+PPPEEVEXXXXYYYYFFBTTBBBBBFFBSFSFFFFPPFYYYYYYYYZZZZZFFAAXXXXXXXXXOOOOQQQQQQQQRQQVVVDDDDDDDDDDDPPPBBBBBBBBBBBBHHHHLLLLLTXXXXXXXXXXFFFFFGGGGGGS
+PPPEPXXXXXYYYYYFFFTTBBBBBFFFFFSFFFFPPPGSSSYYYYZZZZZFAAAAXXXXXXWOOOOOQQQQQQQQQQQQVVDDDDDDDDDDDPPPPBBBBBBBBBBNNLLLLLLLLLLXXXXXXGFFFFFFGGGGGGGG
+PPPPPXXXXXYYYYYYTTTTTTCFFFFFFFFFFFPPPZZZZZZZZZZZZZZZZAAAATAXXWWWWWAQQQQQQQQQQQXVVVDDDDDDDDDDDPPPPBBBBBBBBBBLLLLLLLLLLLLXLLXXXGGFFFFFGGGGGGGG
+PPPPPXXXXXXYXXTTTTTTTTFFFFFFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAAAWWWAWWASQAQQQQQQXXXVVDDDDDDDDDDDDPMBBBLBBBBBBBBLLLLLLLLLLLLLLXXGGGGGGFGGGGGGGGGG
+PPPXXXXXXXXXXXTTTTTTTTFFJFFFFFFFFZZZZZZZZZZZZZZJJZZZZJAAAAAAWWAAAAAAAAQQQQQXXXXVXDDDDDDDDDDDDPMBBLLLLBBBBBLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGG
+PPPXXXXXXXXXXXXTTTTTTTTFFFFFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAAWWAAAAAAAQQQQQQXXXXXXXYDDDDDDDDDDDMMMMMMMLBBBBBBBLLLLLLLLXXXXXXNNNNNGGGGGGZGGGGGG
+PPPXXXXXXXXXXXXXTTTTTTTFFFFFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAAZZZAAAAAAJJJQQQQXXXXXYYDDDDDDDDDDDMMMMMMMLLBMBBLLLLLLLXXXXXXXXXNNNNNGGGGGGZGZZNGG
+PPPXXXXXXXXXXXXXXTTTTTTTVVDFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAZZZELALLAJJJJJQQXXXXXXYXDDDDDDDDDDMMMMMMMMMMYMYYLLLLLLXXXXXXXXXXNNNNPPPPGZZZZZGGGV
+PPPXXXXXXXXXXXXXTTTTTTTDDVDFFFFFFZZZZZZZZZZZZZZJJJJJJJAAZZZZZLLLLLJJJJJYXXXXXXXXXXTDDDDDDDMMMMMMMMMMYYYMYYYZLLLLXXXXXXXXXXNNNNNPPPPZZZZZZZZZ
+PPPPXXXXXRRXXXEXTTTTTDDDDDDXDDMMFFFFGZZZZZZZZZZJJJJJJJJJJJJJZZZZLCJJJLLYYXXXXXXXXXXDDDDDDDMMMMMMMMMMMYYYYYLLLLLLXXXXXKXXXXNNNNNNPPPZZZZZZZZZ
+PPPPXXXXXRXXXXXXTTTTTTDDDDDDDDDMIFZFGZZZZZZZZZZAAGAAZJJJJJJJZZZZLLJJLLLYYYYXXXXXXXQDDDDDDDMMMMMMMMMMMYYYYYYYLLLRXXXXXNXXXXNNNNNNPPPZZZZZZZZZ
+PPPPPXXXXRXVXXTTWTTTDDDDDDDDDDDMIPFFULLLLLLGGGGGGGGAZJJJJJJJZZZZZLLJLLLLYYYXXXXXYYYYYDDDDDMMMMMIIMMMYYYYYYYYZLLRRXXXXNXXXXNNNNNNNNPZZZZZZZZZ
+PPPPPPDXDRXVVDATTTTTDDDDDDDDDDBIIIUUULLHLGGGGGGGGGGZZJJJJJJJZZCLLLLLLLLLYYYYXXYYYYYYYGGGMMMMMMMMIIMYYYYYYYYYZRRRRRZMNNXXXXNNNNNNNNNLZZZZZZZZ
+PPPPPPDDDRDDDDTTTTTTDDDDDDDDDDDIIUUUILLLLLLLGGGGGGGGZJJJJJJJZCCLLLLLLLLLUUUXXXYYYYYYGGGGMMMMMMMMIIMMYYYYYYYZZRRRRZZMMNXXXXNNNNNNNNNNZZZZZZZZ
+PPPPDDDDDDDDDDNNTTTTDDKDDDDDDDIIIUUIILLLLGGLGGGGGGGGZJJJJJJJCCCCLLLLLLLLUUYYYYYYYYYYYGGGGGMGMMMMMMMMYYYYYYYYZRRRZZMMMMXXXXNNNNNNBBNZZZZZZZZZ
+PPPPPDDDDHDDDDDDZZZKKKKDKKDDIIIIIIIIILLLGGGGGGGGGGGGGJJJJJJJCCCLLLLLUULUUUYYYYYYYYYYYGGGGZGGGGMMMMMYYYYYYYZZZZZZZZZMMMXXXXNNNNNNBBNZZZZZZZZZ
+PPPPPDDDDDDDDQDDDZZKKKKDKKKDDIIIIIIIIIILGGGGXGGGGGGGGJJJJJJJCCCCLLLLLUUUUUUYYYYYYYYYYGGGGGGGNGMMMMMYIYBBBZZZZZZZZZZMMMMMMNNNNNNNBBZZZZZZZZZZ
+PPPDDDDDDDDDDQDQZZZZKKKKKKKIIIIIIIIIIUULGXXXXGGGGGGGGJJJJJJJCCCCCLLLLUUUUUUUYYYYYYYYYGGGGGGGGGMMMMMMMYBQQQQZZZZZZZZMMMMNNNNNNNNNBBZZZZZZZZZZ
+PPPPDDDDDDDDZQQQZZZZZKKKKKKIIIIIIIIIIYYYYYXXYGGGGGGXXXXXXXXXXCCCCCLLLUUUUUTUYYYYYYYYYGGGGGGGGGMMMMMMBBBQQQQZZZZZZMMMMMMMNXXNNNBBBBBBZZZFZZZZ
+PPPPDDDDDDDDZQQQZZZZZZZKKKKIIIIIIIIIIYYYXXXYYYYGXXXXXXXXXXXXCCPCCCCCUUUUUUTUYYYYYYYYYYGGGGGGGLMMMMMMBBBQQQQBZZZZZZZMMMSSSSXNNNNBBBBBZQZZZZZZ
+PTTTDDDDDDDDZZZZZZZZZZZZKKKKIIIIIIIIIYYYYYYYYYYXXXXXXXXXXXXPPCPPCCCCCUUUUUUUYYYYYYYYYYGGGGGGGMMMMMMMMBBQQQQBZZZZZZZMSSSSSSSLLBBBBBYYQQQQQZZZ
+PTTTADDDDDZZZZZZZZZZZZZKKKKIIOOIIIIIIYYYYYYYYYYYZXXXXXXXXXPPPPPCCCCCCCUUUUUYYYYYYYYYYYGGGGGGGMMMMUMUMKKQQQQZZZZZZHHSSSSSLLLLLBBBBYYQQQQQQQZZ
+TTTTAADTDDDZZZZZZZZZZZZKKKKIIIIIIIIIIIYYYYYYYYZZZZZXXXXXXPPPPPPPPCCCCCUUUUUUYYYYYYYYYMMGGGGGGMMMUUUUUUKQQQQZZBZZZZSSSSSSSLLLLLBYYYYYYQQQQQQQ
+TTTTTATTTTDDZZZZZZZZZKKKKKKIIIIIIIIIIIIYYYYYYYYYZZXXXXXXXPPPPPPPPPCUUUUUAUUYYYYYYYEEEGGGGGGTMMMMVVUUUBBQQQQNNZZZZNSSSSSLLLLLLLBLLYYYYYQQQQQQ
+TTTTTTTTTTZZZZZZZTZZKKKKKIIIIIIIIIIIIGIGYYYYYYYYZZXXXXXXXXPPPPPPPPCCCUUUAUUYYYYYYEEEEEEESGGTTTMUUUUUUBBQQQQNNNZNNNSSSSSSSLLLLLLLLYYYYYQQQQQQ
+TTTTTTTTTTVVZZZZZZZZZZZKKAAAIAAIIIIGGGGGYYYYYYYYZYYYXXXXXXPPPPPPPPCCCUUUAAAYYYYYYEEEEEEEEGEEEEMMUUUUUUUXXBKKKINNNNSSSSSSSLLLLLLLLLYYYYYLQQQQ
+TTTTTTTTTTTTPZZZZZZZZKKKAAAAAAAIIGGGGGGGGYYYYYYYYYYYXXXXXXPPPPPPPPPCCUUAAAAYYYYEEEEEEEEEEEEEEEMMUUUUUUUXXBIIIIIIIISSSSSSSLLLLLLLYLYYYYYLLLLQ
+TTTTTTTTTTTTTLLZZZNAAAALLAAAAAGIGGGGGGGGGYYYYYYYNYXXXXXXXPPPPPPPPPPPPPIIAAAAAYYEEEEEEEELEEEQEMMQUUUUUUUUIIIIIIIIIIISSSSSSLLLLLLLYYYYYYYLLLQQ
+TTTTTTTTTTTTLLZZLLAAAAQQLCAAAAGGGGGGGGGOGYYYYYYYXXXXXXXXXPPPPPPPPPKKIIIAAAAAAAEEEEEEEEEEEEQQQQMQQUUUUUUIIIIIIIIIIIISSSSSSSLLLLLYYYYYYYYLLLLQ
+TTTTTTTTTTTTLLLLLLLLAAQLLLALAAAGGGGGGGGGGYYYYYYYXXXXXXXXXPPPPPPPPPPPIIIAAAAAAAAEEEEEEEEVVVQQQQQQQQUUUVVIIIIIIIIIIIISSSSSSSLLYYYYYYYYYYYLLLQQ
+TTTTTTTTTTTTLLLLLLLVAAVVLLLLGGGGGGGGGEGGGYYYYYRYYXRRXXXXXPPPPPPPPPPPPIIIIAAAAAAAEEEEEEEVVQQQQQQQQQQUVVVVVIIIIIIIPIISSSSSSSLYYYYYYYYYYYYYYYQQ
+TTTTTTTTTTTTLLLLLLLVVVVVLLLLLGGGGGGGGEYYYYYYYYRYRRRRXXXXXPPPPPPPPIIIIIIAAAAAAAAAEEEEEEEQQQQQQQQQQQQUVVVVVIIIIIIIIIGSSSSSSSSYVVYYYYYYYYYYYQQQ
+TTTTTTTTTTTTTLLLLLLLVVLLLLLLGGGGFGGGGGGYYYYYYYRYRRRRXXRRPPPPPPPIIIIIIIIIIIAAAAAAAAAEEEEQQQQQQQQQQQUUVFFFIIIIIIIIYYGGSSSSSSSSVYYYYYYYYYYQQQQQ
+TTTTTTTTTMTLLLLLLLLLLVLLLLLLGSSGGGGSSSYYYYYYYRRRRRRRRRRRRRPPPPPIIIIIIIIIIIIAAAAAAAAEHEEQQQQQQQQQQQQQVVFFIIIIIIIYYYGGGVVSVSVVVYYYYYYYQQQQQQQQ
+TTTTTTTTLLLLLLLLLLLLLLLLLLLLGSSSGTGSSYYYYYYYYYRRRRRRRRRRRRRPRRIIIIIIIIIIIAAAAAAAAAAEHEEQQQQQQQQQQQQQQFFFFIIIIIIIIYYGGGVVVVVVVYYYWYYYQQQQQQQQ

2024/d12/ex2/ex2.py

@@ -0,0 +1,90 @@
+#!/usr/bin/env python
+
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+    def neighbours(self) -> Iterator["Point"]:
+        for dx, dy in (
+            (-1, 0),
+            (1, 0),
+            (0, -1),
+            (0, 1),
+        ):
+            yield Point(self.x + dx, self.y + dy)
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> dict[Point, str]:
+        return {
+            Point(x, y): c for x, line in enumerate(input) for y, c in enumerate(line)
+        }
+
+    def find_plots(garden: dict[Point, str]) -> list[set[Point]]:
+        res: list[set[Point]] = []
+        visited: set[Point] = set()
+
+        for p, plant in garden.items():
+            if p in visited:
+                continue
+            plot: set[Point] = set()
+            to_visit = {p}
+            while to_visit:
+                p = to_visit.pop()
+                visited.add(p)
+                plot.add(p)
+                assert garden[p] == plant  # Sanity check
+                for n in p.neighbours():
+                    if garden.get(n) != plant:
+                        continue
+                    if n in visited:
+                        continue
+                    to_visit.add(n)
+            res.append(plot)
+        return res
+
+    def count_corners(plot: set[Point]) -> int:
+        def corners(p: Point) -> int:
+            res = 0
+            for dx, dy in (
+                (-1, -1),
+                (1, 1),
+                (-1, 1),
+                (1, -1),
+            ):
+                diag = Point(p.x + dx, p.y + dy)
+                vert = Point(p.x + dx, p.y)
+                hori = Point(p.x, p.y + dy)
+                # Both sides are out: an outside corner
+                if vert not in plot and hori not in plot:
+                    res += 1
+                # Both sides are in, diagonal is out: an inside corner
+                if vert in plot and hori in plot and diag not in plot:
+                    res += 1
+            return res
+
+        return sum(corners(p) for p in plot)
+
+    def fence_price(plot: set[Point]) -> int:
+        area = len(plot)
+        # Number of sides is equal to number of corners
+        sides = count_corners(plot)
+        return area * sides
+
+    garden = parse(input.splitlines())
+    plots = find_plots(garden)
+    return sum(map(fence_price, plots))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d12/ex2/input

@@ -0,0 +1,140 @@
+TTTTTTTTTTTTTTDDDDDDDDDDDDAAAKKKKKKKKKKKKKKKKKKKKKKKRRRRRRRRRRRRRXXXXXXXXXXZFFFFFFFFFFOFVVVVVVQQQQQUQQQQQQQQQQQQQQQQQCCGGNNNNHHHHHHHHHHHHHHH
+TTTTTTTTTTTTTTDDDDDDDDDDDDAAAAAAKKKKKFKKKKKKKKKKKKKKRRRRRRRRRRRXXXXXXXXXXXXZFFFFFFFFFFFFFFFVMMQQQQQQQQQQQQQQQQQQQQQQQGGGGNNNNHHHHHHHHHHHHHHH
+TTTTTTTTTTTTDDDDDDDDDDDUAAAAAAAAAKKFFFKKKKKKKKKKKKKKRRRRRRRRRRXXXXXXXXMXMMFFFFFFFFFFFFFFFMMMMMNQQQQQQQQQQQQQQQQQQQQQZZGGNNNNHHHHHHHHHHHHHHHH
+TTTTTTTBTTTTDDDDDDDDDDUUUAAAAAAAKKKKFFKKKKKKKKKVLLLLLRRRRRRRRRXXXXXXXMMMMMFMMMMFFFFFFFFFXMMHMMNQQQQQQQIQQQQQQQQQQQQQQQGGNNNNVVVHHHHHHHHHHHHH
+TTTTBTBBTTTTDDDDDDDDDDUUUAAAAAAAKKKFFKKKKKKKKKNLLLLLLRRRRRRRRRXXXXXXXMMMMMMMMMFFFFFFFFHXXXMHHNNQQQQQQQIIIQQQQQQQQQQQQQGGVVVVVOHHHHHRRRHRHHHD
+TBBBBBBBTTTTDDDDDDDDUDUUUAAAFAAAKKKFFKFFFKKKKKKWWLLLLRRRRRROOOOOXBMMMMMMMMMMEFFMFFFFHHHHXMMHHHHQQQQQQQQIIQQQQQQQQQQQGGGGGVVVVVVZHHXRRRRRHDHD
+BBBBBBBBBTTTDDDDDDDUUUUUUGUFFFFKKKKKKFFFKKKKKKKWLLLLLLRRRROOOEOOOMMMMMMMMMMMMMUMMFFFFFHHHHHHHHHQQQQQIIIIIIQQIQQIIQQQUGGGGVVZVZZZZZRRRRRRDDHH
+BBBBBBBBTTTTDDDDDDXUUUUUUUUFFFFKKKKKKFIFKKKKKKKKLLLLLLRRLLOOOOOOOOMMMMMMMMMMMMMMFFFFFFHHHHHHHHHHHZZIIIIIIIQIIQQIIQQQGGGGGGGZZZZZZZRRRRMMHHHH
+BBBBBBBBTTTTDDXXXXXUUUUXUUFFFKKKKKKKKFEEKKKKKKKKKFLLLLLLLOOOOOOOOOMMMMMMMMMMMMMMFFFFFFFHHHHHHHHHHIIIIIIIIIIIIIIIINQQGGGGGGGZGZZZZZRRRRRRHHHH
+BBBBBBBBBBDDDDXXXXUUUUUUSFFFFKKKKKKEEEEEEKKKKKKKKFKKKLLLLLTOOOOOOOOOMMMMMMMMSWSFFFFFFFFHIIIIHHHHHMMIWIIIIIIIIIIGGGGGGGGGGGGGGGZZZZRRRRRRNHHH
+BBBBBBBBBBBDXDXXXXXXOOOOOOOOOOKKKKEEEEEKKKKKKKKKKKKKKLLLLLOOOOOOOOOOOOMMMMMMSSSSSFFFFFHIIIIIHHHHHIIIIIIIIIIIIIWGGGGGGGGGGGZGGZZZZZZRRNNNNHHN
+BBBBBBBBBBBDXXXXXXXGOOOOOOOOOOXKKKKEEEEEKKBKKKNKKKKKKKKLLLLOOOOOOOOOOOMMLLMMSSSSSSFFFFHIIIIIHHHHHIIIIIIIIIIIIIIIGGGGGGGGGGZZZZZZZZZRRRRRNHHN
+BBBBBBBBBBBBXXXXXXXXOOOOOOOOOOKKKKKKXEEEEEENKNNNKKLLKKKKLLLLLOOOOLOOLLLLLLLSSSSSSSFFFHHIIIIIHBHHHIIIIIIIIIIIIIIGGGGGGGGGGGZZZZZZZZZRZRRNNNNN
+BBBBBBBBBBBBBXXXXXXXOOOOOOOOOOXKXKKKKEEEEEENNNNNNLLLLKKKLLLLLOOOLLLLLLLLLLLSSSSSSSFFFFFIIIHBBBHHHIIIIIIIIIIIICCGGGGGGGGGGGZZZZZZZZZZZRRNNNNN
+BBBBBBBBBBBBCXXXXOOOOOOOOOOOOOXKXKKKKESSSSSSNNNLLLLLLKOOLLLLLOLLLLLLLLLLLAAASSSSSSSFFFFIIIBBBBBBIIIBIIIIIIIICCCGMGGGGGGGGZZZZZZZZZZZNNRNNNNN
+BBBBBBJBBBBXXXXXXOOOOOOOOOOOOOXXXKKKXESSSSSSSSSSSLLLLLLOOLOLLLLLLLLLLLAAAAAASSSSSSSFFFFIIIVBBBBBBIBBBIIIIIIIICGGGGGGGGGGGZZZZZZZZZZZNNNNNNNN
+BBBBBBBBBBXXXXXXXOOOOOOOOOOOOOXXXXNKXXSSSSSSSSSSSLLLLLOOOOOLLLLLLLLLLAAAAAAASSSSSSSSZFFFBBBBBBBBBBBBBBIIIIIIICCXXXGGGGGGGGGIZZZZZZZNNNNNNNNN
+FBBAABABBBFXXXXOOOOOOOOOOOOOOOXXXXNKXSSSSSSSSSSSSLLLLLLOOOOLLLLLLLLLEWAAAAAASSSSSSDDZFFFBBBBBBBBBBBBBBBIIIIICCCCCXGGGGGGGIIIZIIIZNZNNNNNNNNN
+FBBAAAAAAAXXXXXOOOOOOOOGGGVVVXXXXXXXXSSSSSSSSSSSSLLLLLLOOOOOOLOOOLLLEEEEAAASSSESSSDDZFFFBBBBBBBBBBBBBBBIBBIIIIIIIIXGXXGGIIIIIIIIINNNNNNNNNNI
+FBFAAAAAAAAAXXXOOOOOOOOGGGVVVXXXXXXXXSSSSSSSSSSSSLLLLLLOOOOOOOOOOLLEEEEAAAATSSSSDDDZZFZZSSSBBBBBBBBBBBBBBBIIIIIIIIXXXXIIIIIIIIIIINNNNNNNNNNI
+FFFFGAAAAAAAXLXOOOOOOOOGGGVVVXXXXXXXXSSSSSSSSSSSSLLLLLOOOOOOOOOOLLLEEEEAAAAASDDDDDZZZZZSSTTBBBBBOOBBBBBBBBIIIIIIIIXXIIIIIIIIIIIIIINNNNNNNNII
+FFGGGAAAAAAAXAAOOOOOOOOGGGGVVXXXXXXXXSSSSSSSNNNNLLLLLOOOOOOOOOOOLLLLEEELXDADDDDDDDZZZZZSZZTBBBBBOOOBBBBBBBIIIIIIIIXXXIIIIIIIIIIINNNNNNNNNNII
+FFFGGGGAAAAAAAAOOOOOOOOGVVGVVVVXXXXXXSSSSSSSNNLLLLBLLOOOOOOOOOOOLLLEEXXXXDDDDDDDDDZZZZZZZTTTTBBOOOBBBBBBBIIIIIIIIIXXIIIIIIIIIIINNNNNVNNVNNNI
+FFGGGPGALAAAOOOOOOOOOOOGVVVVVVVVXXXXXSSSSSSSNDDLLLLLLOOOOOOOOOOOOLLEEXXXXXDDDDDDDZZZZZZZZTTTBBOOOOOOBBBIIIIIIIIIIIIIIIIIIIIIIINNNNVVVVNVFNII
+GGGGGPGGLLAAOOOOOOOOOOOVVVVVVVXXXXXXXXXXDDDDDDDDLDDOOOOOOOOOOOOOTXXXXXXXXXXDDDDDZZZZZZZZZTTTTBBIOOOOBBBIIIIIIIIIIIXXXIIIIIIIINNNVVVVVVVVFJII
+GGGGGGGGGGGIOOOOOOOOOOOEVVVVVVXXXXXXXXXXDDDDDDDWWWWOOOOOMOOOOOOOXXXVXXXXXXXXDDDDZZZZZZZZZZTTTTLIIIIOOOOIIIIIIIIIIIXXXXIIIIIIINNNNVVVVVVVJJJI
+GGGGGGGGGGGIOOOOOOOOOOEEEEVVVVVXXXXXXXXXDDDDDDDWWWWWWWWWWOOHHOOXXXXXXXXXXXXDDDDDZZZZZZZZZZZZZZLIIIIIIIOIIIIIIIIIIIXXXXIIIIIIINNNNVVVVVVVJJJJ
+GGGGGGGGSGSMOOOOOOOOOOEEEVVVVVVVXXBXXDXDDDDDDDDWWWWWWWWWWHHHHOKGGGXXXXXXXXXDDDDDZZZZZZZZZNNNNIIIIIIIIOOIIIIIIIIIIXXXXIIIIIIINNNNNNNVVVVVVJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLVVVSVVXXBBDDDDDDDDDDDWWWWWWWWWWHHHHGGGGGXXXXXXXXDDDDDVCZZZZZZZNNNNNIIIIIIIIIIIIIIIIIIIIXXXXIIIIIIIINNNNNTVVVVJVJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSXXXBDDDDDDDDDDDDWWWWWWWWWWHHHHGGGGGGXXXXXXXXDDDVVCCCZZZZIIIINNIIIIIIIIIIIIIHHHHXHHXXXXIIIIIINNNNNNNNLLLLJJJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSSSDDDDDDDDDDDDDDWWWWWWWWWWHHHHGNNGGGGGXXXXXXVVVYVVCVZZZIIIIINIIIIIIIIIIIIIIHHHHHHHXXXXIIJIIINNNNNNNNNLLLJJJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSSDDDDDDDDDPPDDDDWWWWWWWWWWHHHGGGGGGGGGXXXXXXVXVVVVVVVFZZIIIIIIIIIIIIIIIIIIIHHHHHHHXXXGGIIYNNNNNNNNNNQLLLJJJJJ
+GGGGGGGWWWWWWWOOOOOOOOLLLLLLSSSSSSSDSSSDDDPDDDDWWWWTHHTHHHHHHGYGGGGGGSXXXXXXXVVVVVVVFIIIIIIIIIIIIIIIIIIIIIHHHHHHHXXXGGYYYNNNNNYNNNNLLLLLLJJJ
+GGGGGGTWWWWWWWSOOOOOOOLLLLLVVSSVSSSDSSDDDDDDDDDWWWWTTHTTHHHHHGYGHGGGGGXXXXXXVVVVVVFFFIFFFIIIIIIIIIIIIIBHHHHHHHHHHHHGGGGYYNYYYYYNLLLLLLLLLJJJ
+GBBBBBBWWWWWWWSOOOOOOOLLLLVVVVVVVSSSSSSSDDDMDDDDDDDTTTTTHHHHHGYGHHHHGHHHSXXXXVVXXVFFFFFFFIIIIIIIIIIMIBBBBHHHHHHHHHHGGGYYYYYYYYYYLLLLLLLLLJJJ
+WBBBBBBWWWWWWWSSSSLLLLLLLLLVVVVVVVSSSSSDDDDMMMDDDDDTTTTTTTTTHGGGGHHHHHHSSSSXXVVVXXXFFFFFFFIIIIIIIIIIIBZZBBHHHHHHHHHGGGYYYYYYYYYXLLLLLLLLLLJJ
+GBBBBBBWWWWWWWSSSLLLLLLLLLLVVVVVVVSSSSSDDDDDMMMMMMTTTTTTTZZHHZZHHHHHHHSSSGSXXXXXXXFFFFFFIIIIIIIIZIZZZZZZBHHHHHHHHHGGGGGGYYYYYYYXXLLLLLLLLJJJ
+GBBBBBBBBJJJJJSSSSSLLLLLLLLVVVVVVVVVSSSDSSSMMMMMTTTTTTTTTTZZZZZZHHHHSSSSSSSSSSSSXFFFFFFFFIIIIIIZZZZZZZZZBHHTTTHHHGGGGGGGYYYYXXXXXXXLLLLLJJJJ
+LBBBBBBBBJJJJSSSSSSSHLLLLLLOOVVVVVVVVVSSSSSMMMMMMMTTTTTTTTZZZZZZZZZSSSSSSSSSSSSSFFFFFFFFFIIIZIZZZZZZZZZZZZTTTHHHHGGGGGGGGYYXXXXXXXXXLLJLJJJJ
+VBBBBBBBBJJJSSSSSSSSWLBLLLOOOVVVVVVVOZZSZSMMWMMMMTTTTTTTTTZZZZZZZZZCSSSSSSSSSSJJJJJFFFFFFFFZZZZZZZYYYYYYYYYYTTHGGGGGGGGGYYXXXXXXXXXXXLJJJJJJ
+VBBBBBBBBJJSSSSSSSSSWWLLLLOOOOVVVVVOOZZZZMVMMMMMMTTTTTTTTZZZZZZZZZZZSSSSSSSSSSSSSJFFFFFFFFLLNZZZZZYYYYYYYYYYTTGGGGGGGGGGYYYXXXXXXXXXXLJJJJJJ
+VBBBBBBBBJSSSSSSSSSSWLLLLLLOOOOOOOOOOZZZZMMMMMMMMMTTTTTTTYZZZZZZZZZZZZSSSSSSSSSSSFFFFFFFFFLLZZZZZZYYYYYYYYYYTTGGGGGGGGGGYYYXXXXXXXXXXJJJJJJJ
+VJJJJBBBBJLSSSSSSSSWWWLLWLOOOOOOOOLOZZZZZZMMMMMMMVTTTTTTTZZZZZZZZZZZSSSSSSSSSSSSSSFFFFFLLLLLZZZZZZYYYYYYYYYYTTTFFGGGFGGQQQYXCCXXXXXXXXJJJJJJ
+VVVJJBBBBLLLSSSSSSSWWWWWWWWOOOWWOLLLZZZZZZNNMMMMQTTTTTTTMMMMZZZZZZEZZSSSSSSSSSSSSLFLLFFLLLLLLZZZZKYYYYYYYYYYTFFFFGFFFGQQYYYPKCKXXXXVJJJJJJJJ
+VVVJJBBBBLLLLSSSSSSWWWWWWWWWOWWWLLLLLLZZZZZNNMMQQTTTTTTMMMMMZZZZZZESSSSSSSSSSSLSSLLLFFFLLLLLLLLLZLYYYYYYYYYYFFFFFFFFFQQQYYYPKKKKKBBJJLJJJJJJ
+BBBBJPPJLLLLLSQQLWSWWWWWWWWWOWWWLLLLLLZZZNNNNMMMTTTTTTMMMMMZZYZYYYESSSKKKSSSSLLLLLLLFLLLLLLLLLLLLLYYYYYYYYYYTFFFFFFFFQQQPPPPPKKKKBBLILJJLJJJ
+LLLLLPPJFLLLLLLLLWWWWWWWWWWWWWWWLLLLLLLLLMNMMMMTTTTTTMMMMMMMHYYYYYYYSSKKKSSSSSSSLLLLLLLLLLLLLLLLLLYYYYYYYYYYTFFFFFTTTQQTPPPXPKTKKBBLLLLLLLLJ
+LLLLLLLFFFLLLLLLLWWWWWWWWWWWAAAAZZZLLLLLMMMMMMMMMMTTTTMMMMMMMMMYYYYYYYKKKSSSSSSSLLLLLLLTTTLLYYYYYYYYYYYYYYYYFFFFFFFTQQQTPPXXTKTKPLLLLLLLLLLL
+LLLLLLLFFLLLLLLLLLWWWWWWWWWWAAAAZZZZZLLLMMMMMMMMMMMMMMMMMMMMMMYYYYYYYYYKTTTTTSSTTTTLLTLLTLLLYYYYYYYYYYYTTAAAAAFFFFZTTQTTXXXXTTTTTLLLLLLLLLLL
+LLLLLLLLLLLLLLLLLLBOOOWWWWWWAAAAZZZZZLZLLMMMMMMMMMMMMMMMMMMMMMYYYYYYYYYKKTTTTTTTTTLLTTTTTTRRYYYYYYYYYYYTTAAAAAZZZZZTTQTTTXXTTTTTTTLLLLLLLLLL
+LLLLLLLLLLLLLLLLLLOOOOWWWWWWWWAZZZZZZZZZLLJPPMMMMMMMMMFFFFFMMYYYYYYYYYTTTTTTTTTTTLLTTTTTTTTRYYYYYYYYYYYOOOAAAAAZZZZZTTTTTTTTTTTTTTLLLLLLLLLL
+LLLLLLLLLLLLLLLLOLOOOOOWWWWWWAAZZZZZZZZZLJJPPPMLMMMMMMFCFFFMMYYYYYYYYTTTTTTTTTTTTTLLTTTTTTRRYYYYYYYYYYYOOAAAAAZZZZZZTTTTTTTTTTTTULLLLLLLLLLL
+LLLLLLLLLLLLLLLOOOOOOOOWWWWLLLAAAZZZZZZZLLJJPPMLMLLMFFFFFFFFMYYYYYYYYYYTTTTTTTTTTTTTTTTTTRRRYYYYYYYYYYYAAAAAAAZZZZZZZTTTTTTTTTTTTLLLLLLLLLLL
+LLLLLLLLLLLWLLLLOOOOOOOOWWBLLLALAAZZZZLLLLJJPPLLLLLMFFFFFFFFFFYYYYYYYYYTTTTTTTTQTTTTTTTTRRRAYYYYYYYYYYAXXXAAAAAAAAZZTTTTTTTTTTTTFFFWLLLLLLLL
+LLLLLLLLLLLLLLLLZOOOOOBBBBBLLLLLZZZZLLLLLIJJPLLLLLLMFFFFFFFFFFYYYYYYYYYYYYTTTTTTWTTTTTTRRRRRYYYYYYYYYYAACCCQQAAAAFCZTTTTTTTTTTTTTFWWLLLLLLLL
+LLLLLLLLLLLLLLLLLSOSSSBBBBBLLLLLLZLLLLILIILLPLLLLLLLFFFFFFFFFFFYYYYYYYYYTTTTTTTWWTTTTTTRRRRRAAAAAAAAAAAACCCCCAAAAFCTTTTTLLLLLLLLWFWWLLLLLLLL
+LLLLLLLLLLVLLLYLSSSSSSSSBBLLLLLLLLLLLLIIIIILLLLLLLCCCCCCCCFFFFFFYYYYYYYYTTTTWTTWWWTTTWTTTRRRRRAAAAAAAAACCCCCCCAAACCCCRTTLLLLLLLLWWWWWLLLLLLL
+LLLLLLLLLLLWLSSSSSSSSSSBBBLLLLLLLLLLLIIIIICCCCCCCCCCCCCCCCFFFFFFFYYYYYYYTTTTTTWWWWWTWWTRRRRRYAAAAAAAAAACCCCCCCCCCCCCCTTTLLLLLLLLWWWWWWLLLLLL
+LLLLLLLLLLLWWWSSSSSSSSBBBBLLLLLLLLLLLIICCCCCCCCCCCCCCCCCCCFFFFFFYYYYYYXYTGTTTTWWWWWWWRTRRRRRRAAAAAAAAAACCCCCCCCCCCCCCCCTLLLLLLLLWWWWWWWLLLLL
+LLLLLLALLLLLWWSSSSSSSSBBBLLLLLLLLLLLLIICCCCCCCCCCCCCCCCCCCPPPFFPYYYYYYXXXGTTTTXWWWWWWRRRRRRRRAAAAAAACCCCCCCCCCCCCCCCMMMMLLLLLLLLWWWWWWLLLLLL
+ALLLLLAAAWWWWSSSSZSSSSSBBLLLLLLLLLLLCCCCCCCCCCCCCCCCCCCCCCFPPPPPPYYYYXXXXXXXXXXXXWWWRRRRRRRRRAAAAAACCCCCCCCCCCCCCCCCCCMMLLLLLLLLWWMMMMVLLLLL
+AAAAAAAAWWWWWWWSZZSSSOOBBLLLLLLLLLLLCCCCCCCCCCCCCCCCCCCCCCPPPPPPPYYYYVXXXXXXXXXXWWRRRRRRRRRAAAAAAAAYYCCCCCCCCCCCCCCCCMMMLLLLLLMMWWMMMMVVVVLL
+AAAAAAAAWWWWWWWWWOSSSZOOBLLLLLLLLLLICCCCCCCCCCCCCCCCCCCCCCPPPPPPPYYYYYXXXXXXXXXXWWRRRRRRRRRRAAAAAAAYYYYCCCCCCCCCCCCCCMWWLLLLLLMMWMMMMMMVVVVV
+AAAAAAAAIWDDWWWWOOSSSOOLLLLLLLLLLLLLCCCCCCCCCCCCCCCCCCCCCCPPPPPPPPPPPXXXXXXXXXXXWWRRRRRRRRAAAAAAAAAAYYYCCCCCCCCCCCCCCHWWLLLLLLMMMMMMMMMVVVVN
+AAAVAAAKBBDDWWWOOOOOOOOOLLLLLLLLLLLUCCCCCCCCCCCCCCCCCCCCCCPPPPPPPPPPXXXXXXXXXXXXWWRRRRRRRRAAAAAAAAAAYYYYYCCCCYYYYOHHHHWMLLLLLLMMMMMMMMMVVVVV
+AAAVAAAKBBIIIOOOOOOOOVVOOVVVZZZLLLUUUUUUUUUUUIIICCCCCCCCCCPPPPPPFPPFFFHXXXXXXXXPAAARRRRAARRAAAAAAAAAYYYYYYYYYYYYYYHHHHWWLLLLLLMMMMMMMVVVVVVV
+AAAVVAAKBBIRIOOOOOOOOOVVVVVVVZLLLLUBUUUUUUUUUIIICCCCCCCCCCPPPPPPFFPFFFXXXXXXXXNAAAABRRAAAAAAAAAAAAAAAYYYYYYYYYYYYYHYYWWMLLLLLLNMMVMVVVVVVVVV
+AAAVVVBBBBRRIOOOOOOOOOVVVVVVVZSSLLLUUUUUUUUUUIIACCCCCCCCCCPPPPPPFFFFFFXXXXUXXNNAAABBRRKKAAAAAAAAAAAAAYSYYYYYYYYYYYYYYWWWLLLLLLNNMVVVVVVVVVVV
+AAAAAVBBBBRRIOOORROOOOOVVVVVVSSLLLUUUUUUUUUUCCCAAAPPPPPPPPPPPPPPPPFFFXXXXXXNNNNAAAAAAKKKKKKAAAAAAAAAAYSSYYYYYYYYYYYYYYWWLLLLLLNVVVVVVVVVVVVV
+AAAAABBPRRRRROGRROOOOOOVVVVJJSSSLLLUUUUUUUUUUCCAAAAPPPPPPPPPPFFFFFFFFXXXXXXXXNNAAAAAAKKKKKKAAAAAAAAAAYSZSYYYYYYYYYYYYYNNNNNNNNVVOOVVVVVVVVVV
+AAAAAPPPRRRRRBRRRROOOOOVVSFSSHSSSSLLUUUUUUUUUUMMMMMPPPPPLIIPPPFFFFFFFXXXXXXXXNNAAAAAKKKKLLAAAAAAAAAAAASSSZYYYYYYYYYYYYNNNNNNNNVVNOVVVVVVVVVV
+AAGGAPPRRRRRRRRRRROOOOOBVSFSSSSSSSLUUUUUUUUUUMMMMMMPPPPMIIIIIINNFFIFXXXXXXXXXNNAAAAAALLLLLGAAAAAAAAAAASSSZSSYYYYYYYYYNNNNNNNNNNNNVVVVVVVVVVV
+AAGGRPRRRRRRRRRRRGOOOOOOOSSSSSSSSSLLUUUUUUUUMMMMMMMPPPMMIIIIIIIIFFIIXXXXXXXXAOAAAAAAALLLLLLLAAAAAAASSSSSSSSSYDYYYYYYYYNNNNNNNNNOOOVVVVVVVVVV
+GGGGRRRRRRRRRRRRRRBBBBOOOSSSSSSSSSSLULUUUUUUUMMMMMMPPPMMMIIIIIIIIIIHOOOOOOOOOOXAAAAAAALLLLLCASADSASSSSSSIISSYDDDDDYYYYNNNNNNNNNOOOOOVVVVVVVV
+GGTTRRURRRRRRRRRRVVBBBAKSSSSSSSSSSLLLLUUUUUMMMMMMMMMPPMMIIIIIIIIIIIIOOOOOOOOOAAAAAAAAAALLLLAASSSSAASSSSSSSSSYDDDDNNMMYYNNNNNNNNNNOOOVVVVVVVV
+OOFTTTRRRRRRRRRRRVVBBBASSSSSSSSSSSSLSLUUUUUMMMMMMMMMMPMIIIIIIIOOOOOOOOOOOOOOOAAAAAAAAALLLLLTASSSSASSSSSSSSSUDDDDDNNNNNNNNNNNNNNNNOOOVOVVVVVV
+OOOTTTRRRRRRRRRRRVVVBBAAASSSSSSSSSSSSLLLUUUMMMMMMMMMMMMIIIIIIIOOOOOOOJJJJJOOOOAAAAALLLLLLLLTSSSSSSSSSSSSSSSUDDDDDDDDNNNNNNNNNNNNNNOOOOOOOVNN
+OOOOTRRRRRRRRRRRRVVVBBAAASSSSSSSSSSSSLLLUUMMMMMMMMMMMMMMMIIIIIOOOOOOOJJJJJOOOOOAAAAIIILLLLTTTTSDSSSSSSSSSSSDDDDDDDDDINDNNNNNONOOOOOOOOOOOVNN
+OOOORRRRRRRRRRRRRRVVAAAAASSSSSSSSSSSLLLLMMMMFMMOOMMMMMMMMIIOOOOOOOOOOJJJJJOOOZOAAAAIIILLLLLLTSSSSSSSSSSSSSSDDDDDDDDDDLNNQNNOOOOOOOOOOOOOOOOO
+OOORRRRRRRRRVVVRRVVVAAAAAAHSSSSSSSSSLLLLLMMMMMMOOOMMMMMMIIIOOOOOOOOOJJJJJJJZZZAAAAIIQLLLLLLLLLSSSSSSSSSSSSSDDDDDDDDLLLNNQQNOOOOOOOOOOOOOOOOO
+OORRRRRVRRRRVVVVVVVAAAAAAAASSSSSSSSSLLLLLLMMMMOOOOOOMMCCIIIOOOOOOOOOOOJJJJJJZAAAAAIQQLLLLLLLLOSSNNSSNNNSSSSDDDDDDDDLLLLNQQNLOOOOOOOOOOOOOOOH
+OORRMMVVRRRRVVVVVVVAAAAAAAASSSSSSSSSLLLLLLLLMLOOOOOOOMCCOIIOOOOOOOOOOOJJJJJZZAAAAAAAQLLLLLLLLOSSONSSNNNSSSSGGDDDDDLLGGGQQQOOOOOOOOOOOOOOOOHH
+RRRMMMMVVVVVVVVVVAAAAAAAAAASSSSKKHHHHKLLLLLLLLOOOOOOOMCCCCIOOOOOOOOOOOJJJJJJAAAAAAAAQQLLLLLLLOOOONNNNRRNONSSGDDDDDLLGGQQQQCOOOOOOOOOOOOOHHHH
+MMMMMMMMVVVVVVVVVVAAAAAAAAAAASSKKHHJJKLLLLLLLLOOOOOOOOCCCCKOOOOOOOOOOOJZZZJJJAAAAAAQQLLLLLLLLLOONNNNNNNNNNGGGDDDDGGGGGQQQCCCCOOOYOOOOOFHHHHH
+SSMMMMMMVVVVVVVVVAAAAAAAAAAASSSKKKHHKKLLLLLLOLOOOOOOOCCCCCCOOOOOOOOOOOZZZZZZFZZZZZZQQLLLLLLLLLOOONNNNNNNNGGGGGGDGGGGGGQQCCCCCOOOOOOOOFFHHHHH
+SMMMMMMMMMMVVVVVAAAAAAAAAAFAAKKKKKHKKKKKLLLOOOOOOOOOAACCCCCOOOOOOOOOJJJZZZZZZZZZZZZZQLLLLLLLLOOOONNNNNNNNGGGGGGDDGGGGGGCCCCCCCZZZOOOOFFFFHHH
+SSSMMMMMMMVVVVVVAAAAAAAAAAFIYIKKKKKKKKKKKKKOOOOOOOOOOACCCCCJJJJJJJJJJJZZZZZZZZZZZZZZLLLLLLLLLOOOONNNNNGGGGGGGGGGGGGGGGGGCCCCCZZHHOOFEFFFFFFF
+VSVVMMMMMMMVVVVVAAIAAIAIIIIIIIIKKKKKKKKKKKSSOOOOOOOOOACCCCJJMJJJJJJJJZZZZZZZZZZZZZZZSSSSSSSULOOOONNNNNGGGGGGGGGGGGGGGGGGCCCCCZHHHHFFFFFFFFVV
+VVVVMMMMMMMVVVVVAVIIIIIIIIIIIIKKKKKKKKKKKKSSOOKKKKOQUACCCJJJJJJJJJJJZZKZZZZZZZZZZZZSSSSSSSSOOOOOGGNNGGGGGGGGGGGGGGGGGGGCCCCHHZHHHHHFFFFFFFFV
+VVMMMMMMVVVVVVVVVVIIIIIIIIIIIKKKKKKKKKKKKKDDDDDKKUOUUUULLJJJJJJJJRRRRZZZZZZZZZZZZZZSSSSSSSSOOOOOGGNNGGGGGGGGGGGGGGGGGGCCCCCHHZHHHHHYHFFFFFFF
+VVVVVVVMVVVVVVVVIIIIIIIIIIIIIKKKKKKKNNKKKDDDDDDKKUOUUUULLLJJJJJJJRRRRRRZZZZZZZZZZZZSSSSSSSSOOOOOOGGGBGGGGGGGGGGGGGGZZGCCCCHHHHHHHHHHHJFFFFFF
+VVVVVVVVVVVVVVVVIIIIIIIIIIIIIIRKKKKKPNNNNNDDDDDDDUUUUUUULLJJJJJJJRRRRRRBRZRZZZUZZZZSSSSSSSSOOOOOOGGGGGGGGGGGGGGGGGGGGGCCCHHHHHHHHHHHHFFFFMFO
+VVVVVVVVVVVVVVVIIIIIIIIIIIIISSSTTKDDDNDDDDDDDDDDDDUUUUUUSLLJJJJJJZZRRRRRRRRRRRUZZZZSSSSSSSSOOOOOOGGGGGGGGGGGGGGGGGGGIGCCCCCCHHHHHHHHHIIFFVVV
+VVVVVVVVVVVPVVIIIIVIIIIIIIISSSSSSSSGDDDDDDDDDDDDDDUUZZZZZZZZJJOJJJRRRRRRRRRRRRUZYZZSSSSSSSSOOOOGGGGGGGGGGGGGFGGGGGGKOCCCCCCCMHHHHHHHHHHNNVVV
+VVVVVVVVVVUUVVUUIIIIIIIIIIISSSSSSSGGDDDDDDDDDDDDDDDUZZZZZZZZJJOOJJJRRRRRRRRRIRUUYYOSSSSSOOOOOOOOGGGGGGGGGGGGGGGGGGGOOOOOCCMCMMHHHHHHHHHHVVVM
+VVVVVVVVVUUUUUUUIIIIIITISSIISSSSSSSSDDDDDDDDDDDDDDDIZZZZZZZZJJOOOJRRRRRRRRRRUUUUYYYSSSSOOOOOOOOGGGGGGGGGGGGGHHHHTGTTOOOOOOMMMMMMHHHHHHHMMVVM
+PVVVVVVVUUUUUUUUIIIIISSSSSSSSSSSSSSSDDDDDDDDDDDDDZZZZZZZZZZZOJOORRRRRRRRRRRUUUUUUUUSSSSOOOOOOOOPPGGGGGGGGGGHHHHHTTTOOOOOOOMMMMMMMHMMHHHMMMMM
+PVXVVVVVVUUUUUUUUIIISSSSSSSSSSSSSSGFFDDDDDDDDDYYDZZZZZZZZSSOOOOOOORRRRRRRJUUUUUUUUOSSSSOOOOOOPPPPGGGGGGGGGGHHHHHTTOOOOOOOOOMMMMMMMMHHHHHHMMM
+PPVVVVVVEUUUUUUFUUFJJFSSSSSSSSSSSSFFFIDDDDDYYDDYYZZZZZZZZSSSXOOOOOORROZRRJJUUUUUUUUSSSSOOOOOOOPPGGGGGGGGGGGGHHHHTTTOOOOOOOOMMMMMMMMHHHHHMMMM
+PPPPVVVVEEEUUUFFFFFFFFSSSSSSSSSSSSFFFFDDDDDRYYYYIZZZZZZZZXXYXXOOOOORROORRQJUUUUUUUUUOOOOOOOPPPPPGGGGGGGGHGHHHHHHTTTOOOOOOOMMMMMMMMMAMUUHHHMM
+PPPPPEVEEEEEEYFFFFFFFFFSSSSSSSSSSSSFFFDDDDDDYYYYYZZZZZZZZXXXXXXOOOOOOOOQQQJUUUUUUUQOOOOTOOOPPPSSSSGGGGGHHGHHHHHHTTTOOOOXXOOMMMMMMMMAMUUUHMMM
+PPEEEEVEDEEEYYFFFFFFFFFSSSSSSSSSSSFFFDDDDDDYYYZZZZZZZZZZZXXXXXXOOOOOOQOQQQJUUUUUUUQQOOOOXOOPPPPSSSGGGGGHHHHHHHHHHHTTOOOXXXXMMMMMMMMMMUUUHMMM
+PPEEEEEEEEYYYYFFFFFFFFFSSSBSSSSSSFFFFFDFDDDYYYZZZZZZZZZZZXXXXXXOOOOOQQQQQQJUUUUUQQQQQQQQOODPPPPSSBBGGGGHHBHBHHHHHTTTTTTXXXMMMMMMMMMMMUUUGGGG
+PPEHEEEEEEEYYYFFFFFFFFBBBBBSSSSSSSFFFFFFDYYYYYZZZZZFXXXXXXXXXXXOOOOOUOQQQQUUUUUUQQDDDQQQQQDDDPPSGBBKBOBBBBBBHHHHHTLTTTTXXXXMMMMMMMFFUUGGGGGG
+PPPEEVEXEEYYYYFFFBBFFBBBBBBBSSSSSFFFFFFFYYYYYYZZZZZFFXAXXXXXXXXXOOOOOOQQQQQURUUUVQDDDDDDJQDPPPPSGGBBBBBBBBRRHHHLLLLLLTTTXXXXXXMMTFFFUGGGGGSS
+PPPEEVEXXXXYYYYFFBTTBBBBBFFBSFSFFFFPPFYYYYYYYYZZZZZFFAAXXXXXXXXXOOOOQQQQQQQQRQQVVVDDDDDDDDDDDPPPBBBBBBBBBBBBHHHHLLLLLTXXXXXXXXXXFFFFFGGGGGGS
+PPPEPXXXXXYYYYYFFFTTBBBBBFFFFFSFFFFPPPGSSSYYYYZZZZZFAAAAXXXXXXWOOOOOQQQQQQQQQQQQVVDDDDDDDDDDDPPPPBBBBBBBBBBNNLLLLLLLLLLXXXXXXGFFFFFFGGGGGGGG
+PPPPPXXXXXYYYYYYTTTTTTCFFFFFFFFFFFPPPZZZZZZZZZZZZZZZZAAAATAXXWWWWWAQQQQQQQQQQQXVVVDDDDDDDDDDDPPPPBBBBBBBBBBLLLLLLLLLLLLXLLXXXGGFFFFFGGGGGGGG
+PPPPPXXXXXXYXXTTTTTTTTFFFFFFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAAAWWWAWWASQAQQQQQQXXXVVDDDDDDDDDDDDPMBBBLBBBBBBBBLLLLLLLLLLLLLLXXGGGGGGFGGGGGGGGGG
+PPPXXXXXXXXXXXTTTTTTTTFFJFFFFFFFFZZZZZZZZZZZZZZJJZZZZJAAAAAAWWAAAAAAAAQQQQQXXXXVXDDDDDDDDDDDDPMBBLLLLBBBBBLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGG
+PPPXXXXXXXXXXXXTTTTTTTTFFFFFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAAWWAAAAAAAQQQQQQXXXXXXXYDDDDDDDDDDDMMMMMMMLBBBBBBBLLLLLLLLXXXXXXNNNNNGGGGGGZGGGGGG
+PPPXXXXXXXXXXXXXTTTTTTTFFFFFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAAZZZAAAAAAJJJQQQQXXXXXYYDDDDDDDDDDDMMMMMMMLLBMBBLLLLLLLXXXXXXXXXNNNNNGGGGGGZGZZNGG
+PPPXXXXXXXXXXXXXXTTTTTTTVVDFFFFFFZZZZZZZZZZZZZZZZZZZZJAAAAZZZELALLAJJJJJQQXXXXXXYXDDDDDDDDDDMMMMMMMMMMYMYYLLLLLLXXXXXXXXXXNNNNPPPPGZZZZZGGGV
+PPPXXXXXXXXXXXXXTTTTTTTDDVDFFFFFFZZZZZZZZZZZZZZJJJJJJJAAZZZZZLLLLLJJJJJYXXXXXXXXXXTDDDDDDDMMMMMMMMMMYYYMYYYZLLLLXXXXXXXXXXNNNNNPPPPZZZZZZZZZ
+PPPPXXXXXRRXXXEXTTTTTDDDDDDXDDMMFFFFGZZZZZZZZZZJJJJJJJJJJJJJZZZZLCJJJLLYYXXXXXXXXXXDDDDDDDMMMMMMMMMMMYYYYYLLLLLLXXXXXKXXXXNNNNNNPPPZZZZZZZZZ
+PPPPXXXXXRXXXXXXTTTTTTDDDDDDDDDMIFZFGZZZZZZZZZZAAGAAZJJJJJJJZZZZLLJJLLLYYYYXXXXXXXQDDDDDDDMMMMMMMMMMMYYYYYYYLLLRXXXXXNXXXXNNNNNNPPPZZZZZZZZZ
+PPPPPXXXXRXVXXTTWTTTDDDDDDDDDDDMIPFFULLLLLLGGGGGGGGAZJJJJJJJZZZZZLLJLLLLYYYXXXXXYYYYYDDDDDMMMMMIIMMMYYYYYYYYZLLRRXXXXNXXXXNNNNNNNNPZZZZZZZZZ
+PPPPPPDXDRXVVDATTTTTDDDDDDDDDDBIIIUUULLHLGGGGGGGGGGZZJJJJJJJZZCLLLLLLLLLYYYYXXYYYYYYYGGGMMMMMMMMIIMYYYYYYYYYZRRRRRZMNNXXXXNNNNNNNNNLZZZZZZZZ
+PPPPPPDDDRDDDDTTTTTTDDDDDDDDDDDIIUUUILLLLLLLGGGGGGGGZJJJJJJJZCCLLLLLLLLLUUUXXXYYYYYYGGGGMMMMMMMMIIMMYYYYYYYZZRRRRZZMMNXXXXNNNNNNNNNNZZZZZZZZ
+PPPPDDDDDDDDDDNNTTTTDDKDDDDDDDIIIUUIILLLLGGLGGGGGGGGZJJJJJJJCCCCLLLLLLLLUUYYYYYYYYYYYGGGGGMGMMMMMMMMYYYYYYYYZRRRZZMMMMXXXXNNNNNNBBNZZZZZZZZZ
+PPPPPDDDDHDDDDDDZZZKKKKDKKDDIIIIIIIIILLLGGGGGGGGGGGGGJJJJJJJCCCLLLLLUULUUUYYYYYYYYYYYGGGGZGGGGMMMMMYYYYYYYZZZZZZZZZMMMXXXXNNNNNNBBNZZZZZZZZZ
+PPPPPDDDDDDDDQDDDZZKKKKDKKKDDIIIIIIIIIILGGGGXGGGGGGGGJJJJJJJCCCCLLLLLUUUUUUYYYYYYYYYYGGGGGGGNGMMMMMYIYBBBZZZZZZZZZZMMMMMMNNNNNNNBBZZZZZZZZZZ
+PPPDDDDDDDDDDQDQZZZZKKKKKKKIIIIIIIIIIUULGXXXXGGGGGGGGJJJJJJJCCCCCLLLLUUUUUUUYYYYYYYYYGGGGGGGGGMMMMMMMYBQQQQZZZZZZZZMMMMNNNNNNNNNBBZZZZZZZZZZ
+PPPPDDDDDDDDZQQQZZZZZKKKKKKIIIIIIIIIIYYYYYXXYGGGGGGXXXXXXXXXXCCCCCLLLUUUUUTUYYYYYYYYYGGGGGGGGGMMMMMMBBBQQQQZZZZZZMMMMMMMNXXNNNBBBBBBZZZFZZZZ
+PPPPDDDDDDDDZQQQZZZZZZZKKKKIIIIIIIIIIYYYXXXYYYYGXXXXXXXXXXXXCCPCCCCCUUUUUUTUYYYYYYYYYYGGGGGGGLMMMMMMBBBQQQQBZZZZZZZMMMSSSSXNNNNBBBBBZQZZZZZZ
+PTTTDDDDDDDDZZZZZZZZZZZZKKKKIIIIIIIIIYYYYYYYYYYXXXXXXXXXXXXPPCPPCCCCCUUUUUUUYYYYYYYYYYGGGGGGGMMMMMMMMBBQQQQBZZZZZZZMSSSSSSSLLBBBBBYYQQQQQZZZ
+PTTTADDDDDZZZZZZZZZZZZZKKKKIIOOIIIIIIYYYYYYYYYYYZXXXXXXXXXPPPPPCCCCCCCUUUUUYYYYYYYYYYYGGGGGGGMMMMUMUMKKQQQQZZZZZZHHSSSSSLLLLLBBBBYYQQQQQQQZZ
+TTTTAADTDDDZZZZZZZZZZZZKKKKIIIIIIIIIIIYYYYYYYYZZZZZXXXXXXPPPPPPPPCCCCCUUUUUUYYYYYYYYYMMGGGGGGMMMUUUUUUKQQQQZZBZZZZSSSSSSSLLLLLBYYYYYYQQQQQQQ
+TTTTTATTTTDDZZZZZZZZZKKKKKKIIIIIIIIIIIIYYYYYYYYYZZXXXXXXXPPPPPPPPPCUUUUUAUUYYYYYYYEEEGGGGGGTMMMMVVUUUBBQQQQNNZZZZNSSSSSLLLLLLLBLLYYYYYQQQQQQ
+TTTTTTTTTTZZZZZZZTZZKKKKKIIIIIIIIIIIIGIGYYYYYYYYZZXXXXXXXXPPPPPPPPCCCUUUAUUYYYYYYEEEEEEESGGTTTMUUUUUUBBQQQQNNNZNNNSSSSSSSLLLLLLLLYYYYYQQQQQQ
+TTTTTTTTTTVVZZZZZZZZZZZKKAAAIAAIIIIGGGGGYYYYYYYYZYYYXXXXXXPPPPPPPPCCCUUUAAAYYYYYYEEEEEEEEGEEEEMMUUUUUUUXXBKKKINNNNSSSSSSSLLLLLLLLLYYYYYLQQQQ
+TTTTTTTTTTTTPZZZZZZZZKKKAAAAAAAIIGGGGGGGGYYYYYYYYYYYXXXXXXPPPPPPPPPCCUUAAAAYYYYEEEEEEEEEEEEEEEMMUUUUUUUXXBIIIIIIIISSSSSSSLLLLLLLYLYYYYYLLLLQ
+TTTTTTTTTTTTTLLZZZNAAAALLAAAAAGIGGGGGGGGGYYYYYYYNYXXXXXXXPPPPPPPPPPPPPIIAAAAAYYEEEEEEEELEEEQEMMQUUUUUUUUIIIIIIIIIIISSSSSSLLLLLLLYYYYYYYLLLQQ
+TTTTTTTTTTTTLLZZLLAAAAQQLCAAAAGGGGGGGGGOGYYYYYYYXXXXXXXXXPPPPPPPPPKKIIIAAAAAAAEEEEEEEEEEEEQQQQMQQUUUUUUIIIIIIIIIIIISSSSSSSLLLLLYYYYYYYYLLLLQ
+TTTTTTTTTTTTLLLLLLLLAAQLLLALAAAGGGGGGGGGGYYYYYYYXXXXXXXXXPPPPPPPPPPPIIIAAAAAAAAEEEEEEEEVVVQQQQQQQQUUUVVIIIIIIIIIIIISSSSSSSLLYYYYYYYYYYYLLLQQ
+TTTTTTTTTTTTLLLLLLLVAAVVLLLLGGGGGGGGGEGGGYYYYYRYYXRRXXXXXPPPPPPPPPPPPIIIIAAAAAAAEEEEEEEVVQQQQQQQQQQUVVVVVIIIIIIIPIISSSSSSSLYYYYYYYYYYYYYYYQQ
+TTTTTTTTTTTTLLLLLLLVVVVVLLLLLGGGGGGGGEYYYYYYYYRYRRRRXXXXXPPPPPPPPIIIIIIAAAAAAAAAEEEEEEEQQQQQQQQQQQQUVVVVVIIIIIIIIIGSSSSSSSSYVVYYYYYYYYYYYQQQ
+TTTTTTTTTTTTTLLLLLLLVVLLLLLLGGGGFGGGGGGYYYYYYYRYRRRRXXRRPPPPPPPIIIIIIIIIIIAAAAAAAAAEEEEQQQQQQQQQQQUUVFFFIIIIIIIIYYGGSSSSSSSSVYYYYYYYYYYQQQQQ
+TTTTTTTTTMTLLLLLLLLLLVLLLLLLGSSGGGGSSSYYYYYYYRRRRRRRRRRRRRPPPPPIIIIIIIIIIIIAAAAAAAAEHEEQQQQQQQQQQQQQVVFFIIIIIIIYYYGGGVVSVSVVVYYYYYYYQQQQQQQQ
+TTTTTTTTLLLLLLLLLLLLLLLLLLLLGSSSGTGSSYYYYYYYYYRRRRRRRRRRRRRPRRIIIIIIIIIIIAAAAAAAAAAEHEEQQQQQQQQQQQQQQFFFFIIIIIIIIYYGGGVVVVVVVYYYWYYYQQQQQQQQ

2024/d13/ex1/ex1.py

@@ -0,0 +1,79 @@
+#!/usr/bin/env python
+
+import dataclasses
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+@dataclasses.dataclass
+class ClawMachine:
+    a_delta: Point
+    b_delta: Point
+    prize: Point
+
+
+def solve(input: str) -> int:
+    def parse_button(input: str) -> Point:
+        deltas = input.split(": ")[1].strip()
+        x, y = map(lambda delta: int(delta.split("+")[1]), deltas.split(", "))
+        return Point(x, y)
+
+    def parse_prize(input: str) -> Point:
+        coords = input.split(": ")[1].strip()
+        x, y = map(lambda delta: int(delta.split("=")[1]), coords.split(", "))
+        return Point(x, y)
+
+    def parse_claw_machine(input: list[str]) -> ClawMachine:
+        assert len(input) == 3  # Sanity check
+        return ClawMachine(
+            parse_button(input[0]),
+            parse_button(input[1]),
+            parse_prize(input[2]),
+        )
+
+    def parse(input: str) -> list[ClawMachine]:
+        return [parse_claw_machine(group.splitlines()) for group in input.split("\n\n")]
+
+    def play_machine(machine: ClawMachine) -> int | None:
+        def found_prize(row: list[tuple[int, Point]]) -> int | None:
+            for tokens, p in row:
+                if p == machine.prize:
+                    return tokens
+            return None
+
+        row = [
+            (3 * i, Point(machine.a_delta.x * i, machine.a_delta.y * i))
+            for i in range(101)
+        ]
+        res = found_prize(row)
+        for _ in range(100):
+            row = [
+                (tokens + 1, Point(p.x + machine.b_delta.x, p.y + machine.b_delta.y))
+                for tokens, p in row
+            ]
+            tmp = found_prize(row)
+            if tmp is None:
+                continue
+            if res is None:
+                res = tmp
+            res = min(res, tmp)
+        return res
+
+    claw_machines = parse(input)
+    return sum(
+        tokens for tokens in map(play_machine, claw_machines) if tokens is not None
+    )
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d13/ex2/ex2.py

@@ -0,0 +1,69 @@
+#!/usr/bin/env python
+
+import dataclasses
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+@dataclasses.dataclass
+class ClawMachine:
+    a_delta: Point
+    b_delta: Point
+    prize: Point
+
+
+def solve(input: str) -> int:
+    def parse_button(input: str) -> Point:
+        deltas = input.split(": ")[1].strip()
+        x, y = map(lambda delta: int(delta.split("+")[1]), deltas.split(", "))
+        return Point(x, y)
+
+    def parse_prize(input: str) -> Point:
+        coords = input.split(": ")[1].strip()
+        x, y = map(lambda delta: int(delta.split("=")[1]), coords.split(", "))
+        return Point(10000000000000 + x, 10000000000000 + y)
+
+    def parse_claw_machine(input: list[str]) -> ClawMachine:
+        assert len(input) == 3  # Sanity check
+        return ClawMachine(
+            parse_button(input[0]),
+            parse_button(input[1]),
+            parse_prize(input[2]),
+        )
+
+    def parse(input: str) -> list[ClawMachine]:
+        return [parse_claw_machine(group.splitlines()) for group in input.split("\n\n")]
+
+    def play_machine(machine: ClawMachine) -> int | None:
+        a_dx, a_dy = machine.a_delta
+        b_dx, b_dy = machine.b_delta
+        px, py = machine.prize
+
+        a = (px * b_dy - py * b_dx) // (b_dy * a_dx - b_dx * a_dy)
+        b = (px * a_dy - py * a_dx) // (a_dy * b_dx - a_dx * b_dy)
+
+        if a * a_dx + b * b_dx != px:
+            return None
+        if a * a_dy + b * b_dy != py:
+            return None
+
+        return 3 * a + b
+
+    claw_machines = parse(input)
+    return sum(
+        tokens for tokens in map(play_machine, claw_machines) if tokens is not None
+    )
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d14/ex1/ex1.py

@@ -0,0 +1,61 @@
+#!/usr/bin/env python
+
+import dataclasses
+import functools
+import operator
+import sys
+from collections import Counter
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+@dataclasses.dataclass
+class Robot:
+    pos: Point
+    vel: Point
+
+    def step(self, dims: Point, delta: int = 1) -> "Robot":
+        x, y = self.pos.x + self.vel.x * delta, self.pos.y + self.vel.y * delta
+        return Robot(
+            Point(x % dims.x, y % dims.y),
+            self.vel,
+        )
+
+
+def solve(input: str) -> int:
+    def parse_robot(input: str) -> Robot:
+        pos, vel = map(lambda s: s.split("=")[1], input.split(" "))
+        return Robot(
+            Point(*map(int, pos.split(","))),
+            Point(*map(int, vel.split(","))),
+        )
+
+    def parse(input: list[str]) -> list[Robot]:
+        return [parse_robot(line) for line in input]
+
+    def compute_safety(robots: list[Robot], dims: Point) -> int:
+        mid_x, mid_y = dims.x // 2, dims.y // 2
+        counts: Counter[tuple[bool, bool]] = Counter()
+        for x, y in map(lambda robot: robot.pos, robots):
+            if x == mid_x or y == mid_y:
+                continue
+            counts[(x < mid_x, y < mid_y)] += 1
+        return functools.reduce(operator.mul, counts.values())
+
+    robots = parse(input.splitlines())
+    dims = Point(101, 103)
+    robots = [robot.step(dims, 100) for robot in robots]
+    return compute_safety(robots, dims)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d14/ex1/input

@@ -0,0 +1,500 @@
+p=62,20 v=85,-14
+p=88,18 v=-70,97
+p=51,21 v=35,-22
+p=19,56 v=2,45
+p=93,11 v=-87,26
+p=90,67 v=44,-13
+p=99,34 v=82,57
+p=55,42 v=82,22
+p=61,22 v=-24,-95
+p=100,7 v=18,-29
+p=92,56 v=-56,66
+p=66,15 v=-6,77
+p=62,21 v=68,39
+p=8,80 v=-72,-90
+p=33,40 v=89,-46
+p=28,10 v=-4,-64
+p=4,78 v=-55,1
+p=87,23 v=-32,-10
+p=1,76 v=85,6
+p=15,51 v=-35,-75
+p=58,98 v=-41,80
+p=34,17 v=-25,-47
+p=66,81 v=23,50
+p=48,97 v=-53,88
+p=99,69 v=-97,83
+p=25,23 v=-38,31
+p=16,54 v=91,37
+p=12,65 v=-85,-41
+p=13,62 v=51,64
+p=54,16 v=-91,-30
+p=99,92 v=34,30
+p=44,21 v=-50,-9
+p=0,55 v=15,-46
+p=68,23 v=-53,-51
+p=29,51 v=24,-55
+p=42,10 v=-98,28
+p=76,50 v=-55,-54
+p=83,24 v=65,-70
+p=13,15 v=-85,64
+p=2,53 v=-43,-59
+p=8,88 v=-24,34
+p=100,50 v=33,-20
+p=24,83 v=17,54
+p=18,71 v=52,38
+p=93,21 v=-33,-18
+p=8,78 v=-19,-7
+p=23,31 v=61,-46
+p=76,60 v=47,46
+p=51,26 v=-53,32
+p=32,54 v=-76,33
+p=66,65 v=-42,62
+p=19,3 v=78,-23
+p=96,46 v=88,-76
+p=53,44 v=12,-13
+p=64,56 v=-30,64
+p=41,52 v=35,-24
+p=49,9 v=-28,35
+p=77,18 v=9,-43
+p=57,3 v=97,-97
+p=81,57 v=-23,27
+p=13,73 v=-22,-90
+p=97,76 v=-46,-49
+p=63,43 v=-80,99
+p=90,96 v=-37,-92
+p=89,33 v=82,-42
+p=79,64 v=-19,-58
+p=64,65 v=59,-90
+p=84,54 v=17,24
+p=95,42 v=18,-13
+p=90,43 v=-36,-62
+p=83,2 v=32,-97
+p=34,69 v=-38,-78
+p=91,17 v=18,31
+p=42,82 v=74,-94
+p=1,33 v=-72,-42
+p=97,82 v=-20,-94
+p=83,83 v=-23,40
+p=56,22 v=85,-22
+p=50,42 v=25,-70
+p=32,1 v=88,-60
+p=63,71 v=-3,-33
+p=49,85 v=-67,59
+p=18,8 v=-23,39
+p=24,60 v=-76,-87
+p=34,100 v=-88,-85
+p=84,84 v=44,79
+p=16,101 v=53,-64
+p=44,33 v=88,-25
+p=52,22 v=-43,-35
+p=30,63 v=-23,-86
+p=14,40 v=65,-50
+p=56,98 v=-41,88
+p=42,11 v=-14,-72
+p=72,9 v=-4,-72
+p=26,71 v=-47,-62
+p=92,18 v=-71,15
+p=81,40 v=59,7
+p=79,69 v=16,64
+p=4,40 v=24,-83
+p=17,78 v=65,-32
+p=87,85 v=81,-36
+p=98,27 v=42,42
+p=100,55 v=72,95
+p=94,12 v=-80,61
+p=73,34 v=96,-38
+p=32,30 v=-63,-38
+p=45,37 v=-27,-75
+p=6,0 v=-72,-68
+p=24,58 v=39,41
+p=25,74 v=-26,-15
+p=99,82 v=80,64
+p=88,54 v=-94,-21
+p=100,81 v=29,-28
+p=84,87 v=56,6
+p=71,17 v=-95,-96
+p=37,89 v=-9,-18
+p=42,30 v=-78,-59
+p=92,17 v=-68,14
+p=31,55 v=88,66
+p=28,10 v=-13,-62
+p=30,30 v=29,60
+p=89,80 v=8,-42
+p=23,75 v=41,-44
+p=65,78 v=-55,42
+p=1,80 v=-9,19
+p=54,78 v=36,83
+p=10,40 v=66,-95
+p=67,71 v=8,58
+p=23,17 v=12,69
+p=36,70 v=76,21
+p=7,63 v=-60,-65
+p=39,96 v=87,41
+p=8,56 v=-34,-90
+p=64,66 v=9,79
+p=2,61 v=4,17
+p=64,51 v=28,-6
+p=91,25 v=-41,69
+p=92,3 v=-85,47
+p=61,41 v=-90,57
+p=86,61 v=-69,70
+p=82,45 v=7,-13
+p=23,39 v=-78,-40
+p=58,3 v=-30,15
+p=87,30 v=87,-25
+p=21,84 v=39,34
+p=36,26 v=89,-59
+p=90,51 v=-83,-91
+p=5,39 v=79,-87
+p=5,63 v=66,-74
+p=71,45 v=21,-21
+p=49,40 v=-68,-66
+p=68,93 v=96,96
+p=67,96 v=46,51
+p=72,44 v=-32,82
+p=15,90 v=15,2
+p=26,78 v=28,-44
+p=7,3 v=-87,-39
+p=74,101 v=94,-76
+p=90,20 v=-6,-46
+p=22,17 v=-68,-63
+p=12,81 v=-37,14
+p=37,84 v=-15,22
+p=75,31 v=83,-63
+p=48,2 v=-90,-27
+p=44,94 v=-63,31
+p=73,71 v=-50,22
+p=22,101 v=39,51
+p=49,94 v=-90,26
+p=93,67 v=5,-12
+p=57,83 v=-68,80
+p=86,82 v=44,-32
+p=3,64 v=87,-62
+p=43,87 v=-20,-57
+p=40,18 v=-8,-56
+p=80,46 v=-89,57
+p=79,26 v=-18,27
+p=3,27 v=-98,77
+p=99,44 v=42,-99
+p=25,27 v=-72,23
+p=98,24 v=43,85
+p=54,93 v=-28,-60
+p=29,4 v=86,80
+p=42,96 v=-75,14
+p=75,77 v=54,81
+p=96,63 v=-46,-33
+p=51,94 v=88,-69
+p=31,88 v=51,39
+p=75,15 v=-43,-84
+p=8,18 v=93,63
+p=20,65 v=99,30
+p=71,5 v=72,-98
+p=31,95 v=63,-19
+p=87,70 v=-68,71
+p=11,55 v=15,37
+p=63,36 v=10,36
+p=41,98 v=37,10
+p=27,78 v=26,-36
+p=53,93 v=30,18
+p=78,25 v=-58,-80
+p=21,100 v=-73,66
+p=36,33 v=25,11
+p=65,3 v=-92,-68
+p=46,22 v=-64,48
+p=49,87 v=-91,38
+p=82,37 v=6,16
+p=24,94 v=-30,-3
+p=14,94 v=94,37
+p=28,32 v=39,-1
+p=35,19 v=-68,-25
+p=3,51 v=-47,70
+p=12,6 v=-29,-28
+p=28,19 v=15,2
+p=75,45 v=95,-67
+p=76,4 v=7,-93
+p=45,29 v=-63,-37
+p=41,22 v=-64,93
+p=67,45 v=10,-36
+p=51,1 v=21,-74
+p=25,84 v=1,-81
+p=15,36 v=-47,-29
+p=44,98 v=24,-81
+p=79,30 v=45,94
+p=45,57 v=12,-57
+p=12,23 v=65,78
+p=65,76 v=-68,17
+p=100,100 v=79,23
+p=75,22 v=58,-84
+p=82,65 v=69,-74
+p=76,6 v=-61,-61
+p=61,38 v=27,53
+p=68,94 v=86,37
+p=64,71 v=6,-88
+p=21,93 v=-53,-65
+p=32,86 v=64,-98
+p=11,11 v=-95,-95
+p=36,32 v=-38,65
+p=23,95 v=91,-65
+p=31,33 v=12,-34
+p=12,5 v=-99,-72
+p=50,3 v=-91,-93
+p=74,66 v=33,13
+p=22,7 v=-12,-97
+p=11,6 v=41,-43
+p=14,16 v=-21,60
+p=95,76 v=81,-61
+p=3,55 v=79,99
+p=43,97 v=-1,-60
+p=73,66 v=31,-33
+p=60,33 v=73,-57
+p=63,57 v=71,-95
+p=86,11 v=-20,-80
+p=50,28 v=86,-34
+p=66,5 v=-80,45
+p=96,87 v=67,6
+p=52,16 v=-53,40
+p=31,31 v=38,32
+p=96,23 v=-34,-72
+p=46,64 v=-91,45
+p=14,19 v=-73,60
+p=31,85 v=12,-32
+p=19,36 v=-36,-46
+p=39,21 v=-52,15
+p=98,34 v=-10,81
+p=96,65 v=-9,1
+p=97,75 v=-21,34
+p=22,0 v=64,2
+p=8,15 v=-24,36
+p=67,1 v=61,-89
+p=64,76 v=70,34
+p=22,29 v=-74,-54
+p=73,48 v=-41,-75
+p=83,7 v=-82,-72
+p=57,6 v=-66,-93
+p=31,21 v=-50,81
+p=90,21 v=-56,-35
+p=79,73 v=54,77
+p=62,64 v=60,29
+p=51,70 v=-96,-6
+p=35,71 v=75,-33
+p=9,56 v=53,-58
+p=63,48 v=-94,49
+p=61,72 v=82,55
+p=51,79 v=-66,5
+p=2,62 v=46,-46
+p=56,2 v=10,-64
+p=42,74 v=-64,75
+p=0,83 v=17,-61
+p=3,59 v=-97,33
+p=40,82 v=-15,47
+p=89,8 v=94,19
+p=76,26 v=-95,-23
+p=4,86 v=79,76
+p=4,32 v=-77,31
+p=35,38 v=-9,-59
+p=78,87 v=72,-57
+p=72,72 v=-72,67
+p=94,33 v=-2,-93
+p=59,96 v=37,-19
+p=90,24 v=-83,-1
+p=88,61 v=69,50
+p=67,28 v=35,-66
+p=40,63 v=75,29
+p=84,27 v=-42,-91
+p=40,21 v=-31,-30
+p=1,50 v=-34,-95
+p=87,59 v=96,-94
+p=36,19 v=-78,-68
+p=5,43 v=-78,91
+p=27,49 v=91,-99
+p=61,85 v=11,14
+p=89,61 v=-83,-97
+p=31,78 v=-86,81
+p=76,69 v=33,-82
+p=74,28 v=-43,-71
+p=23,27 v=-35,86
+p=80,74 v=-33,-86
+p=99,10 v=43,-10
+p=59,55 v=-41,-95
+p=89,94 v=58,43
+p=72,87 v=7,67
+p=68,73 v=-29,-57
+p=1,46 v=80,41
+p=45,33 v=36,-38
+p=24,4 v=46,21
+p=18,94 v=-35,5
+p=82,45 v=53,74
+p=93,75 v=-83,-86
+p=14,3 v=51,-80
+p=74,30 v=-30,-96
+p=70,38 v=-29,-34
+p=55,76 v=-94,-13
+p=11,82 v=-10,38
+p=11,55 v=-35,-4
+p=93,76 v=6,-57
+p=17,57 v=-80,-42
+p=47,82 v=18,94
+p=84,70 v=-84,1
+p=48,94 v=-90,6
+p=95,41 v=-51,57
+p=18,53 v=55,-84
+p=100,20 v=-20,-56
+p=49,26 v=-17,34
+p=31,62 v=92,-86
+p=69,2 v=-81,82
+p=76,43 v=-71,97
+p=23,15 v=-62,97
+p=26,23 v=-87,40
+p=67,48 v=34,16
+p=64,11 v=-54,85
+p=85,58 v=8,-49
+p=80,25 v=57,-6
+p=45,35 v=49,-9
+p=96,65 v=-20,-25
+p=91,49 v=68,16
+p=8,62 v=29,33
+p=97,50 v=69,-85
+p=52,53 v=-2,70
+p=70,68 v=44,83
+p=65,7 v=-17,39
+p=45,14 v=-87,-34
+p=94,47 v=-93,-46
+p=29,84 v=70,11
+p=70,73 v=-23,-6
+p=100,51 v=45,18
+p=21,2 v=-13,-19
+p=67,32 v=-95,-82
+p=61,2 v=-54,64
+p=17,12 v=65,35
+p=67,54 v=-74,-89
+p=2,6 v=5,-92
+p=26,77 v=-12,-28
+p=39,77 v=12,-86
+p=70,57 v=84,-83
+p=8,88 v=-60,13
+p=19,37 v=-38,-89
+p=0,14 v=6,-2
+p=24,59 v=-24,-82
+p=5,13 v=-11,-47
+p=21,27 v=88,23
+p=89,75 v=-20,83
+p=68,66 v=19,1
+p=34,72 v=-74,25
+p=27,70 v=14,-90
+p=89,9 v=-44,2
+p=5,67 v=-61,-36
+p=52,13 v=-53,-84
+p=50,21 v=-90,-9
+p=21,16 v=2,64
+p=69,21 v=-18,-88
+p=64,85 v=-80,34
+p=31,70 v=50,95
+p=15,8 v=-23,52
+p=97,52 v=28,41
+p=85,6 v=8,-15
+p=9,33 v=-74,52
+p=46,59 v=90,96
+p=71,50 v=-93,98
+p=15,74 v=-24,-82
+p=54,87 v=-15,-36
+p=37,25 v=-15,7
+p=92,13 v=86,78
+p=90,14 v=20,-68
+p=68,37 v=-5,4
+p=58,56 v=48,-99
+p=27,16 v=-36,-32
+p=4,49 v=-58,65
+p=5,50 v=-60,98
+p=13,31 v=-48,-91
+p=58,75 v=46,8
+p=66,88 v=-6,-98
+p=95,16 v=32,23
+p=86,21 v=-57,-55
+p=19,65 v=-32,-98
+p=83,57 v=-46,-95
+p=37,10 v=38,64
+p=87,33 v=46,8
+p=45,54 v=-53,-58
+p=35,95 v=-39,-7
+p=89,65 v=58,-45
+p=82,80 v=-82,-65
+p=35,7 v=25,76
+p=66,92 v=-16,-44
+p=75,89 v=-92,66
+p=48,84 v=98,42
+p=70,84 v=-30,-44
+p=49,51 v=-92,28
+p=27,85 v=62,-36
+p=31,21 v=3,-64
+p=61,101 v=-15,88
+p=56,44 v=90,68
+p=83,49 v=-95,-83
+p=69,38 v=8,-92
+p=34,13 v=-32,43
+p=0,51 v=-75,25
+p=39,36 v=76,69
+p=66,59 v=70,-96
+p=78,42 v=-31,-62
+p=5,5 v=-33,-22
+p=54,74 v=-12,44
+p=25,26 v=25,85
+p=74,88 v=-39,56
+p=65,83 v=33,-28
+p=87,90 v=95,30
+p=71,20 v=-29,93
+p=66,9 v=83,-96
+p=38,51 v=50,41
+p=66,87 v=44,46
+p=30,31 v=-49,-14
+p=70,32 v=73,28
+p=0,94 v=95,26
+p=87,80 v=-83,46
+p=92,70 v=-58,99
+p=48,67 v=-1,41
+p=43,74 v=49,34
+p=87,51 v=43,8
+p=23,63 v=39,-86
+p=2,77 v=48,7
+p=32,60 v=-63,-37
+p=99,3 v=-21,31
+p=82,55 v=57,8
+p=5,68 v=-46,-41
+p=32,77 v=-38,88
+p=84,0 v=6,-64
+p=20,95 v=52,26
+p=29,98 v=-16,83
+p=44,81 v=-27,-73
+p=43,40 v=-41,-42
+p=24,73 v=-88,-49
+p=99,45 v=-97,8
+p=37,9 v=-31,-57
+p=70,11 v=8,-39
+p=0,11 v=96,57
+p=83,70 v=70,75
+p=65,71 v=-40,-65
+p=82,66 v=73,-80
+p=31,41 v=52,-96
+p=19,72 v=65,75
+p=24,4 v=-86,54
+p=75,85 v=85,30
+p=2,83 v=17,-7
+p=9,87 v=-22,59
+p=24,3 v=-12,21
+p=5,74 v=-34,46
+p=22,90 v=-37,-11
+p=20,84 v=4,95
+p=95,10 v=-96,-55
+p=52,9 v=23,-14
+p=20,51 v=-63,-75
+p=64,27 v=24,48
+p=50,2 v=-90,-68
+p=54,47 v=23,70
+p=26,22 v=51,-51
+p=4,49 v=-72,-54
+p=53,47 v=2,-86
+p=21,29 v=-37,13
+p=37,70 v=38,-40
+p=6,41 v=43,-20
+p=88,23 v=-38,-68
+p=67,20 v=79,-71
+p=37,7 v=24,25

2024/d14/ex2/ex2.py

@@ -0,0 +1,80 @@
+#!/usr/bin/env python
+
+import dataclasses
+import functools
+import itertools
+import sys
+from typing import Literal, NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+@dataclasses.dataclass
+class Robot:
+    pos: Point
+    vel: Point
+
+    def step(self, dims: Point, delta: int = 1) -> "Robot":
+        x, y = self.pos.x + self.vel.x * delta, self.pos.y + self.vel.y * delta
+        return Robot(
+            Point(x % dims.x, y % dims.y),
+            self.vel,
+        )
+
+
+def solve(input: str) -> int:
+    def parse_robot(input: str) -> Robot:
+        pos, vel = map(lambda s: s.split("=")[1], input.split(" "))
+        return Robot(
+            Point(*map(int, pos.split(","))),
+            Point(*map(int, vel.split(","))),
+        )
+
+    def parse(input: list[str]) -> list[Robot]:
+        return [parse_robot(line) for line in input]
+
+    def find_tree(robots: list[Robot], dims: Point) -> int:
+        def compute_positions(step: int) -> list[Point]:
+            return [robot.step(dims, step).pos for robot in robots]
+
+        def compute_variance(values: list[int]) -> float:
+            avg = sum(values) / len(values)
+            variance = sum((n - avg) ** 2 for n in values) / len(values)
+            return variance
+
+        def cluster_variance(step: int, dimension: Literal["x", "y"]) -> float:
+            return compute_variance(
+                [getattr(p, dimension) for p in compute_positions(step)]
+            )
+
+        # The tree should have robots clustered together in X and Y
+        cluster_x = min(
+            range(dims.x),
+            key=functools.partial(cluster_variance, dimension="x"),
+        )
+        cluster_y = min(
+            range(dims.y),
+            key=functools.partial(cluster_variance, dimension="y"),
+        )
+
+        # And those clusers should repeat modulo each dimension
+        for i in itertools.count(cluster_x, step=dims.x):
+            if i % dims.y == cluster_y:
+                return i
+        assert False  # Sanity check
+
+    robots = parse(input.splitlines())
+    dims = Point(101, 103)
+    return find_tree(robots, dims)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d14/ex2/input

@@ -0,0 +1,500 @@
+p=62,20 v=85,-14
+p=88,18 v=-70,97
+p=51,21 v=35,-22
+p=19,56 v=2,45
+p=93,11 v=-87,26
+p=90,67 v=44,-13
+p=99,34 v=82,57
+p=55,42 v=82,22
+p=61,22 v=-24,-95
+p=100,7 v=18,-29
+p=92,56 v=-56,66
+p=66,15 v=-6,77
+p=62,21 v=68,39
+p=8,80 v=-72,-90
+p=33,40 v=89,-46
+p=28,10 v=-4,-64
+p=4,78 v=-55,1
+p=87,23 v=-32,-10
+p=1,76 v=85,6
+p=15,51 v=-35,-75
+p=58,98 v=-41,80
+p=34,17 v=-25,-47
+p=66,81 v=23,50
+p=48,97 v=-53,88
+p=99,69 v=-97,83
+p=25,23 v=-38,31
+p=16,54 v=91,37
+p=12,65 v=-85,-41
+p=13,62 v=51,64
+p=54,16 v=-91,-30
+p=99,92 v=34,30
+p=44,21 v=-50,-9
+p=0,55 v=15,-46
+p=68,23 v=-53,-51
+p=29,51 v=24,-55
+p=42,10 v=-98,28
+p=76,50 v=-55,-54
+p=83,24 v=65,-70
+p=13,15 v=-85,64
+p=2,53 v=-43,-59
+p=8,88 v=-24,34
+p=100,50 v=33,-20
+p=24,83 v=17,54
+p=18,71 v=52,38
+p=93,21 v=-33,-18
+p=8,78 v=-19,-7
+p=23,31 v=61,-46
+p=76,60 v=47,46
+p=51,26 v=-53,32
+p=32,54 v=-76,33
+p=66,65 v=-42,62
+p=19,3 v=78,-23
+p=96,46 v=88,-76
+p=53,44 v=12,-13
+p=64,56 v=-30,64
+p=41,52 v=35,-24
+p=49,9 v=-28,35
+p=77,18 v=9,-43
+p=57,3 v=97,-97
+p=81,57 v=-23,27
+p=13,73 v=-22,-90
+p=97,76 v=-46,-49
+p=63,43 v=-80,99
+p=90,96 v=-37,-92
+p=89,33 v=82,-42
+p=79,64 v=-19,-58
+p=64,65 v=59,-90
+p=84,54 v=17,24
+p=95,42 v=18,-13
+p=90,43 v=-36,-62
+p=83,2 v=32,-97
+p=34,69 v=-38,-78
+p=91,17 v=18,31
+p=42,82 v=74,-94
+p=1,33 v=-72,-42
+p=97,82 v=-20,-94
+p=83,83 v=-23,40
+p=56,22 v=85,-22
+p=50,42 v=25,-70
+p=32,1 v=88,-60
+p=63,71 v=-3,-33
+p=49,85 v=-67,59
+p=18,8 v=-23,39
+p=24,60 v=-76,-87
+p=34,100 v=-88,-85
+p=84,84 v=44,79
+p=16,101 v=53,-64
+p=44,33 v=88,-25
+p=52,22 v=-43,-35
+p=30,63 v=-23,-86
+p=14,40 v=65,-50
+p=56,98 v=-41,88
+p=42,11 v=-14,-72
+p=72,9 v=-4,-72
+p=26,71 v=-47,-62
+p=92,18 v=-71,15
+p=81,40 v=59,7
+p=79,69 v=16,64
+p=4,40 v=24,-83
+p=17,78 v=65,-32
+p=87,85 v=81,-36
+p=98,27 v=42,42
+p=100,55 v=72,95
+p=94,12 v=-80,61
+p=73,34 v=96,-38
+p=32,30 v=-63,-38
+p=45,37 v=-27,-75
+p=6,0 v=-72,-68
+p=24,58 v=39,41
+p=25,74 v=-26,-15
+p=99,82 v=80,64
+p=88,54 v=-94,-21
+p=100,81 v=29,-28
+p=84,87 v=56,6
+p=71,17 v=-95,-96
+p=37,89 v=-9,-18
+p=42,30 v=-78,-59
+p=92,17 v=-68,14
+p=31,55 v=88,66
+p=28,10 v=-13,-62
+p=30,30 v=29,60
+p=89,80 v=8,-42
+p=23,75 v=41,-44
+p=65,78 v=-55,42
+p=1,80 v=-9,19
+p=54,78 v=36,83
+p=10,40 v=66,-95
+p=67,71 v=8,58
+p=23,17 v=12,69
+p=36,70 v=76,21
+p=7,63 v=-60,-65
+p=39,96 v=87,41
+p=8,56 v=-34,-90
+p=64,66 v=9,79
+p=2,61 v=4,17
+p=64,51 v=28,-6
+p=91,25 v=-41,69
+p=92,3 v=-85,47
+p=61,41 v=-90,57
+p=86,61 v=-69,70
+p=82,45 v=7,-13
+p=23,39 v=-78,-40
+p=58,3 v=-30,15
+p=87,30 v=87,-25
+p=21,84 v=39,34
+p=36,26 v=89,-59
+p=90,51 v=-83,-91
+p=5,39 v=79,-87
+p=5,63 v=66,-74
+p=71,45 v=21,-21
+p=49,40 v=-68,-66
+p=68,93 v=96,96
+p=67,96 v=46,51
+p=72,44 v=-32,82
+p=15,90 v=15,2
+p=26,78 v=28,-44
+p=7,3 v=-87,-39
+p=74,101 v=94,-76
+p=90,20 v=-6,-46
+p=22,17 v=-68,-63
+p=12,81 v=-37,14
+p=37,84 v=-15,22
+p=75,31 v=83,-63
+p=48,2 v=-90,-27
+p=44,94 v=-63,31
+p=73,71 v=-50,22
+p=22,101 v=39,51
+p=49,94 v=-90,26
+p=93,67 v=5,-12
+p=57,83 v=-68,80
+p=86,82 v=44,-32
+p=3,64 v=87,-62
+p=43,87 v=-20,-57
+p=40,18 v=-8,-56
+p=80,46 v=-89,57
+p=79,26 v=-18,27
+p=3,27 v=-98,77
+p=99,44 v=42,-99
+p=25,27 v=-72,23
+p=98,24 v=43,85
+p=54,93 v=-28,-60
+p=29,4 v=86,80
+p=42,96 v=-75,14
+p=75,77 v=54,81
+p=96,63 v=-46,-33
+p=51,94 v=88,-69
+p=31,88 v=51,39
+p=75,15 v=-43,-84
+p=8,18 v=93,63
+p=20,65 v=99,30
+p=71,5 v=72,-98
+p=31,95 v=63,-19
+p=87,70 v=-68,71
+p=11,55 v=15,37
+p=63,36 v=10,36
+p=41,98 v=37,10
+p=27,78 v=26,-36
+p=53,93 v=30,18
+p=78,25 v=-58,-80
+p=21,100 v=-73,66
+p=36,33 v=25,11
+p=65,3 v=-92,-68
+p=46,22 v=-64,48
+p=49,87 v=-91,38
+p=82,37 v=6,16
+p=24,94 v=-30,-3
+p=14,94 v=94,37
+p=28,32 v=39,-1
+p=35,19 v=-68,-25
+p=3,51 v=-47,70
+p=12,6 v=-29,-28
+p=28,19 v=15,2
+p=75,45 v=95,-67
+p=76,4 v=7,-93
+p=45,29 v=-63,-37
+p=41,22 v=-64,93
+p=67,45 v=10,-36
+p=51,1 v=21,-74
+p=25,84 v=1,-81
+p=15,36 v=-47,-29
+p=44,98 v=24,-81
+p=79,30 v=45,94
+p=45,57 v=12,-57
+p=12,23 v=65,78
+p=65,76 v=-68,17
+p=100,100 v=79,23
+p=75,22 v=58,-84
+p=82,65 v=69,-74
+p=76,6 v=-61,-61
+p=61,38 v=27,53
+p=68,94 v=86,37
+p=64,71 v=6,-88
+p=21,93 v=-53,-65
+p=32,86 v=64,-98
+p=11,11 v=-95,-95
+p=36,32 v=-38,65
+p=23,95 v=91,-65
+p=31,33 v=12,-34
+p=12,5 v=-99,-72
+p=50,3 v=-91,-93
+p=74,66 v=33,13
+p=22,7 v=-12,-97
+p=11,6 v=41,-43
+p=14,16 v=-21,60
+p=95,76 v=81,-61
+p=3,55 v=79,99
+p=43,97 v=-1,-60
+p=73,66 v=31,-33
+p=60,33 v=73,-57
+p=63,57 v=71,-95
+p=86,11 v=-20,-80
+p=50,28 v=86,-34
+p=66,5 v=-80,45
+p=96,87 v=67,6
+p=52,16 v=-53,40
+p=31,31 v=38,32
+p=96,23 v=-34,-72
+p=46,64 v=-91,45
+p=14,19 v=-73,60
+p=31,85 v=12,-32
+p=19,36 v=-36,-46
+p=39,21 v=-52,15
+p=98,34 v=-10,81
+p=96,65 v=-9,1
+p=97,75 v=-21,34
+p=22,0 v=64,2
+p=8,15 v=-24,36
+p=67,1 v=61,-89
+p=64,76 v=70,34
+p=22,29 v=-74,-54
+p=73,48 v=-41,-75
+p=83,7 v=-82,-72
+p=57,6 v=-66,-93
+p=31,21 v=-50,81
+p=90,21 v=-56,-35
+p=79,73 v=54,77
+p=62,64 v=60,29
+p=51,70 v=-96,-6
+p=35,71 v=75,-33
+p=9,56 v=53,-58
+p=63,48 v=-94,49
+p=61,72 v=82,55
+p=51,79 v=-66,5
+p=2,62 v=46,-46
+p=56,2 v=10,-64
+p=42,74 v=-64,75
+p=0,83 v=17,-61
+p=3,59 v=-97,33
+p=40,82 v=-15,47
+p=89,8 v=94,19
+p=76,26 v=-95,-23
+p=4,86 v=79,76
+p=4,32 v=-77,31
+p=35,38 v=-9,-59
+p=78,87 v=72,-57
+p=72,72 v=-72,67
+p=94,33 v=-2,-93
+p=59,96 v=37,-19
+p=90,24 v=-83,-1
+p=88,61 v=69,50
+p=67,28 v=35,-66
+p=40,63 v=75,29
+p=84,27 v=-42,-91
+p=40,21 v=-31,-30
+p=1,50 v=-34,-95
+p=87,59 v=96,-94
+p=36,19 v=-78,-68
+p=5,43 v=-78,91
+p=27,49 v=91,-99
+p=61,85 v=11,14
+p=89,61 v=-83,-97
+p=31,78 v=-86,81
+p=76,69 v=33,-82
+p=74,28 v=-43,-71
+p=23,27 v=-35,86
+p=80,74 v=-33,-86
+p=99,10 v=43,-10
+p=59,55 v=-41,-95
+p=89,94 v=58,43
+p=72,87 v=7,67
+p=68,73 v=-29,-57
+p=1,46 v=80,41
+p=45,33 v=36,-38
+p=24,4 v=46,21
+p=18,94 v=-35,5
+p=82,45 v=53,74
+p=93,75 v=-83,-86
+p=14,3 v=51,-80
+p=74,30 v=-30,-96
+p=70,38 v=-29,-34
+p=55,76 v=-94,-13
+p=11,82 v=-10,38
+p=11,55 v=-35,-4
+p=93,76 v=6,-57
+p=17,57 v=-80,-42
+p=47,82 v=18,94
+p=84,70 v=-84,1
+p=48,94 v=-90,6
+p=95,41 v=-51,57
+p=18,53 v=55,-84
+p=100,20 v=-20,-56
+p=49,26 v=-17,34
+p=31,62 v=92,-86
+p=69,2 v=-81,82
+p=76,43 v=-71,97
+p=23,15 v=-62,97
+p=26,23 v=-87,40
+p=67,48 v=34,16
+p=64,11 v=-54,85
+p=85,58 v=8,-49
+p=80,25 v=57,-6
+p=45,35 v=49,-9
+p=96,65 v=-20,-25
+p=91,49 v=68,16
+p=8,62 v=29,33
+p=97,50 v=69,-85
+p=52,53 v=-2,70
+p=70,68 v=44,83
+p=65,7 v=-17,39
+p=45,14 v=-87,-34
+p=94,47 v=-93,-46
+p=29,84 v=70,11
+p=70,73 v=-23,-6
+p=100,51 v=45,18
+p=21,2 v=-13,-19
+p=67,32 v=-95,-82
+p=61,2 v=-54,64
+p=17,12 v=65,35
+p=67,54 v=-74,-89
+p=2,6 v=5,-92
+p=26,77 v=-12,-28
+p=39,77 v=12,-86
+p=70,57 v=84,-83
+p=8,88 v=-60,13
+p=19,37 v=-38,-89
+p=0,14 v=6,-2
+p=24,59 v=-24,-82
+p=5,13 v=-11,-47
+p=21,27 v=88,23
+p=89,75 v=-20,83
+p=68,66 v=19,1
+p=34,72 v=-74,25
+p=27,70 v=14,-90
+p=89,9 v=-44,2
+p=5,67 v=-61,-36
+p=52,13 v=-53,-84
+p=50,21 v=-90,-9
+p=21,16 v=2,64
+p=69,21 v=-18,-88
+p=64,85 v=-80,34
+p=31,70 v=50,95
+p=15,8 v=-23,52
+p=97,52 v=28,41
+p=85,6 v=8,-15
+p=9,33 v=-74,52
+p=46,59 v=90,96
+p=71,50 v=-93,98
+p=15,74 v=-24,-82
+p=54,87 v=-15,-36
+p=37,25 v=-15,7
+p=92,13 v=86,78
+p=90,14 v=20,-68
+p=68,37 v=-5,4
+p=58,56 v=48,-99
+p=27,16 v=-36,-32
+p=4,49 v=-58,65
+p=5,50 v=-60,98
+p=13,31 v=-48,-91
+p=58,75 v=46,8
+p=66,88 v=-6,-98
+p=95,16 v=32,23
+p=86,21 v=-57,-55
+p=19,65 v=-32,-98
+p=83,57 v=-46,-95
+p=37,10 v=38,64
+p=87,33 v=46,8
+p=45,54 v=-53,-58
+p=35,95 v=-39,-7
+p=89,65 v=58,-45
+p=82,80 v=-82,-65
+p=35,7 v=25,76
+p=66,92 v=-16,-44
+p=75,89 v=-92,66
+p=48,84 v=98,42
+p=70,84 v=-30,-44
+p=49,51 v=-92,28
+p=27,85 v=62,-36
+p=31,21 v=3,-64
+p=61,101 v=-15,88
+p=56,44 v=90,68
+p=83,49 v=-95,-83
+p=69,38 v=8,-92
+p=34,13 v=-32,43
+p=0,51 v=-75,25
+p=39,36 v=76,69
+p=66,59 v=70,-96
+p=78,42 v=-31,-62
+p=5,5 v=-33,-22
+p=54,74 v=-12,44
+p=25,26 v=25,85
+p=74,88 v=-39,56
+p=65,83 v=33,-28
+p=87,90 v=95,30
+p=71,20 v=-29,93
+p=66,9 v=83,-96
+p=38,51 v=50,41
+p=66,87 v=44,46
+p=30,31 v=-49,-14
+p=70,32 v=73,28
+p=0,94 v=95,26
+p=87,80 v=-83,46
+p=92,70 v=-58,99
+p=48,67 v=-1,41
+p=43,74 v=49,34
+p=87,51 v=43,8
+p=23,63 v=39,-86
+p=2,77 v=48,7
+p=32,60 v=-63,-37
+p=99,3 v=-21,31
+p=82,55 v=57,8
+p=5,68 v=-46,-41
+p=32,77 v=-38,88
+p=84,0 v=6,-64
+p=20,95 v=52,26
+p=29,98 v=-16,83
+p=44,81 v=-27,-73
+p=43,40 v=-41,-42
+p=24,73 v=-88,-49
+p=99,45 v=-97,8
+p=37,9 v=-31,-57
+p=70,11 v=8,-39
+p=0,11 v=96,57
+p=83,70 v=70,75
+p=65,71 v=-40,-65
+p=82,66 v=73,-80
+p=31,41 v=52,-96
+p=19,72 v=65,75
+p=24,4 v=-86,54
+p=75,85 v=85,30
+p=2,83 v=17,-7
+p=9,87 v=-22,59
+p=24,3 v=-12,21
+p=5,74 v=-34,46
+p=22,90 v=-37,-11
+p=20,84 v=4,95
+p=95,10 v=-96,-55
+p=52,9 v=23,-14
+p=20,51 v=-63,-75
+p=64,27 v=24,48
+p=50,2 v=-90,-68
+p=54,47 v=23,70
+p=26,22 v=51,-51
+p=4,49 v=-72,-54
+p=53,47 v=2,-86
+p=21,29 v=-37,13
+p=37,70 v=38,-40
+p=6,41 v=43,-20
+p=88,23 v=-38,-68
+p=67,20 v=79,-71
+p=37,7 v=24,25

2024/d15/ex1/ex1.py

@@ -0,0 +1,103 @@
+#!/usr/bin/env python
+
+import copy
+import enum
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+class Direction(enum.StrEnum):
+    UP = "^"
+    RIGHT = ">"
+    DOWN = "v"
+    LEFT = "<"
+
+    def step(self, p: Point) -> Point:
+        dx: int
+        dy: int
+
+        match self:
+            case Direction.UP:
+                dx, dy = -1, 0
+            case Direction.RIGHT:
+                dx, dy = 0, 1
+            case Direction.DOWN:
+                dx, dy = 1, 0
+            case Direction.LEFT:
+                dx, dy = 0, -1
+
+        return Point(p.x + dx, p.y + dy)
+
+
+class Object(enum.StrEnum):
+    BOX = "O"
+    WALL = "#"
+
+
+Maze = dict[Point, Object]
+
+
+def solve(input: str) -> int:
+    def parse_maze(input: list[str]) -> tuple[Point, Maze]:
+        robot: Point | None = None
+        maze: Maze = {}
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                if c == "@":
+                    robot = Point(x, y)
+                    continue
+                maze[Point(x, y)] = Object(c)
+
+        assert robot is not None  # Sanity check
+        return robot, maze
+
+    def parse_directions(input: str) -> list[Direction]:
+        return [Direction(c) for c in input if c in Direction]
+
+    def parse(input: str) -> tuple[Point, Maze, list[Direction]]:
+        maze_input, directions_input = input.split("\n\n")
+        robot, maze = parse_maze(maze_input.splitlines())
+        directions = parse_directions(directions_input)
+        return robot, maze, directions
+
+    def step(robot: Point, maze: Maze, d: Direction) -> tuple[Point, Maze]:
+        # Maze a tentative step
+        new_robot = d.step(robot)
+        new_maze = copy.copy(maze)
+        # Try to move boxes along
+        if (blocker := new_robot) in new_maze:
+            # Try to move boxes up
+            while blocker in new_maze:
+                # We hit a wall, abort the movement
+                if new_maze[blocker] == Object.WALL:
+                    return robot, maze
+                # Otherwise look at the next space along
+                blocker = d.step(blocker)
+            # Out of the loop, we must have found an empty space, so do the push
+            new_maze[blocker] = new_maze.pop(new_robot)
+        # Robot moved without hitting a wall
+        return new_robot, new_maze
+
+    def compute_coordinates(maze: Maze) -> int:
+        return sum(100 * p.x + p.y for p, obj in maze.items() if obj == Object.BOX)
+
+    robot, maze, directions = parse(input)
+    for d in directions:
+        robot, maze = step(robot, maze, d)
+    return compute_coordinates(maze)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d15/ex1/input

@@ -0,0 +1,71 @@
+##################################################
+#......O.O..O......O......O..OO...O..O.O.O..O..O.#
+#....O.O..#.O....O#.#.#......O.O#O.O#O#..O.O.....#
+#.........O..#O......O...OO..O..O..O#....O.......#
+#.O.O......O#.#..#.#.........O...OOO.O..O..O....O#
+#..O......O.......O..O.#O......OO.O.O#..O.OO..O..#
+#O.O.....O.O......O....O..OO...#.#...O##OO#O.....#
+#O..O....OOOO...#.O.O.O#.....##.....O#.##..O.....#
+#O..O.O....O.#..O.O.OO#O.#..#.O....O..O.#.....O..#
+##..OOOO..O..#O.#.O....O...............OO.....O..#
+#O.O#.........OO..O..#..O.....O..O...O#.....O....#
+#..#O#O#...#....O...OOOO..O.....#O.......O.......#
+#..........O...O.....#OOOO#O..#..O..#O.........O.#
+##..O.OO.O......#...#OOO.OO..O.O.O.OO#.#OO..O.OO.#
+#....O.O..OO.O.OOO..OO...O...O..O.O.O....O...O...#
+#O..#OO.........O#......OOO....O.....O.OO.#.O.##.#
+#.O.OOO.....O....O...#O.O.O.#.O.O..........O...OO#
+#.OO.OO...O...O..#........O.O...O.O...#OO.O....O.#
+#OO...O.OO.#O.....OOO.#O#.O.#......OO.....OO#..O.#
+#..O......O.....#...#O.....O.....OOO.....O.#OO...#
+#.....#O..O..#...OOO.#O.O..O.O#...#OO.O......O..##
+#..OO.OOO#.O.....OO..#.OO......OO.O....O...O.....#
+#.O.OO..............#..O.....O.O...OO.....#.O#...#
+#......OO.....OOO.O..O#OO...OO..O#..O..O.OO......#
+#.#O....O....O..#O..O..O@..#..#...#......O.......#
+#.#..O.O.OO...O.O#....O..#..O...OOOOO...#.OOO#...#
+##O..O.O....#O....OO#O.#O......O.....O..O...#O...#
+#...O...........O.#O..O.#...#.O.O.O...........#.##
+#O#O.......O..O.....OO.#O.O.#OOOO#.O.O.O.O.......#
+##O.O..OO...#.O..#.O.O..OOO.O.O#.....O.O..#.O.O.O#
+#..OO...O..#O.O.#.OOO.....OO........#..OO.#...O.##
+#O.#.#..#.O.O...O..O.#O..O.O.OO......O.OO.O...O.##
+#.O.OO...OO.........#....O.OO.OO..O#O.#O........##
+#.......O.......OO#...#....#.OOO#.#........#.O...#
+#...O.O.#.O.O.........OOO.O.O...O....O....#...O#.#
+#....O.O.......#.......#..O##.O.O.....O...O.O...O#
+#.O.O.O..O#.O.O...##O#O...O.....#OO#O.O....O..O..#
+#O.O.O.#..O...O.O.......#.OO..#..........O...O.O.#
+#...O...O.....O....##......#..OO....##.O..OO.....#
+#..OO..O..O..OOO.....#O..OO.O.OOOO.#.O...O.#.....#
+#...O...O.O.O...O.#O.#.O...O#.#......O..OO..O.##O#
+#...O.O#......OO.#.O.....OO..O.......#...#.O...#.#
+##OO..#O.....OO..............#...O#..O#......OOO.#
+##OOOO..O.#..O.O....O....O..O#.O#....O....O.O....#
+#.....#......O...OOO.O........O....#O.OO.....OO.O#
+#O.#....OO#....OO.O....#O#........#.#.OO.#.O...OO#
+#.O.....O.OO.....OO...#O..OOO.O...OO....O.O##O...#
+##O..OO.OO..#..O.O.O.##O......O..#....OOO....OO..#
+#O..O....O.........OO#.#......OO...##.O.......O..#
+##################################################
+
+>v><^>^v^v^^v><><>^><>>v<><<^<><>>v<^><^>><<<^v<>v>^<v>>><<<<^^<<^v>vv><>>v^<^>^^^^>v<<^<<>v<^^>v^v>>^v^v<<vv>^v^>v^v^^^>>vv<<><^^v<v^v<<<v^<v><<^>>^v<>vv^v<v<vv><<^^vvv<<^^v>^vv>v<v>>v>^v<^<^>^>><>><^>><>^>>v<vv<v^^<>^vv><v^<><>^vv^<<^>><<<>v^>^vv<v<^^^^^^<><v<<^vv^><>^<vv^<>v<>v<v<^<><<>^<v>v><<>^<<<^>vv<<^v^<<v>v<<v^v<v>v>v^<>^v<<v^><^>v^<>vv<v^^>>>>^v<v^><<vv^><v<>v^<^>^>v>>>>^^<<^<<<^^>>^><<v^>>^^^vv>^<<vvv<>v^<v^vv>vvv^<^>v>^<>>vv^^^><v>v<<vv<^<^vv>>>^v>>^>>^^^v<>^vv<<^<>vv>^<vv^>^<>v<^<<^>><>v><>vv<^v^>^v>>><<>^^<<<^><<^^^^>vv^^v^><<v^^v^v>v>^<^^<>v^><v^>^<>^<>>^<><^^<>><>^^^^v^v<<><^><^^v>v>>>>^^^>^^>^>vvv<>^>>v><vv<>^v>>^>^^v^v>^>^v^^>^<<<>v>vv<<<>><^><>><v^<><>>><>>>>>^<v><<>><>^><v><<>>^><^v><v>^<v>>v<vv>>>>vv^^^v^v<<<vv>^>vv^v^^^v><v^<>v<^^<^^>^<v^^<<>>v<^v^<v>^>^<<^<>^>v^^<vv<>^><>>vv^>v<vv><>>^v<<>^^>vvv>v^v<>^<^v^>>v>v^^<^>v>^^^<><>^^v^^>vv>^>v>^v<><<><<><>v>v><^>v^<>v<><^><><<>>>>^v^>><^><<>><>><vv^v>vv^^<<>>>>^v<^vv>>v>v<>^>^v^^<>>^>>v>v>^^><^<^^<^^><v^^<v<<^^<^<>^^v<<
+v<<<v><>vv^v<>vv<>>>><v^^v>^<<><^<^v<>>^^<^^<>>>><^v<^>^^^v^^<>>v>^>>vvvv^<>>>^<><<><><>^^<<><v<>v<<>^v<^v>>^<^v<v<v>>^^<<vv<><<^^^>v<<v><^^<><<<v<^vv^>>v<vv><vv>>v>><^v>>v<>>v<vv<v>>^<^^<>>^<v^>^><^>v><^<<^<^^<<>^<<v^^v^<^<v^><<<v>>^v><<v^^^vv<>>^^^v^>^^^^^>><><<<<^^^^<v^v><<<<v^>>^v>v^>>^>>^<v^<v><>^<<^v<^<>^^><v<>><<<^><vv^>^><vv<^>v<<<^<<<>v<^>>v^>v>>^<^^^v^>>v^<v<><>>^>>v^vv<v^v>><<<v<^^<vv>vvv>>>v^v<<>^^v>^>^<>vv^^<^<<>>^^>^v^>v^v^v><><^v<>>vvv<^>^>v^^<^>^^>v^^^v^v^><>v<><^^<>>^vv^>^^^<^<v<<>^<>vv<><^<>>^>^^>^>vv><v^>v>vv>^v^^v>v>^>^^^^^<<<v>vv>>^vv^v<<><^vv>>>><v<>^vv^<>^>^vv<vv>v^^v><v>v<<v<^^vvv>>^^v<<v>>v><>^v>^v<>^<v>>v<<<^<^<<v^v<><>v^<<>v>>^vv>v^vv<vv^^<><^^^^<^^>v><^<>>v>v>><<<v<<^^^<<>v>>><v<v^vv<v<v<<<^<>^^>^><v><^v><<vv>^^v^v<v>>v^>v>v<<^<^<><vv<<<^<<^^^<>>v<^^v^<<>^>^v<vv<<>>v>>v^v<^vv^>v^v<v>>>^v>>^<<^^<v^v^^<^>^^^v<v>^<^v<><vv^^v<<v>>v>v^>v^^<<<<^^<>^vvv<v<vvv^v><v<>^>^<^v><<^v<^<^>^v>^<<<<^>v^v^<vv<>>v<v^v^<v>>^<v^v^^v^>v<<<^>v<^<v<>>vvvv<<^v<>^^^>v<^vvvvv>><^^>>>^
+>>v<<^><>vv^v>vv<<><>><<vv<^<^^v^<<<>v^^v<^<^><v^><<>vv^>^vvv<^<v<v<>>^<><<<^v^><v>^v<v^^>><v<<>v<<<<>v<>^>v<v<<<v>>^>>><^vvv<^<>>^<^<vv<vvv^^<^^v<^<v>^>vv>v<<<>^>>v>>><^<^<^<<>>^v<>>>v>>^<^v>v>v^^><><^<<>v<>vv>^<<<^>><>v^^v<^vv^^vv<>v><^^v^<^<<^vv<<v>>v><<<v<vvv>^^>^<<>^^^^^v<^>^>^^^^^<^>v^<^^^v^^vv^v^<vvvv<vv<vvv^<vvv^v<>^^^<>v^<>>^<vv>>vvvv^<v^><^^>v^^>v^^<v>>>v>^^^<v^<v^^>>^^v^<^>^vv<>><><<<<>>><<<><v^>^<>^<>>>>v><vv><<<v<<^>>^^>><<^^v>>^>v>v^^<<>^<v>^vv^^<>vvv>v<^v^<^^^v><vv<>^<<<>^v^>^^>>v^vv<vv>vv>vv>v<>>v<<^^v>^<^v><^v<<<>^^v^<<^^>^><>^>^^<^>v^vv<<^><>vvv<^<^<<<vv^v>v^><<v><v>>^v^><>^>vv><<>^<^>>^<<<<<^v<v<^^v^^^v>vv>^v^<<>v>vv^>^><vv^v^><v^>><>^vvv>>^<^>^>^><<>>vvvvvvv>^v^<<<v<^v<v^v^><<^v>v^<v<<v><v<<<<><^^v><<<<><v<><^<^>^v^>v<>>v<^>^^>v>>^>>^<^^^>^^>>><vv^<>^<>>><^<>^>>v>>vv>v<vv^>v<><<^>v<><>^<><v<<>^><>^>>^vv>v<v>^><v>v>>^v<<>^>v>>^><><^<><<<>v^<^^^v^^>v<><<vv^<^^>v^v>>>>>v<<>>^>v<>vv>v>>v>>v<v>^<^><v^><>v><^^<<<^<<^v<^v^^^<<v^>>^<v>^^v>v^>>>>v>^v<^<<<v><<>v^<<>v<>vvvv>v^
+><v^^^<vv^<v><><^^vv>vv><v^>>^v^>^v<^^^<v><>vv>^v>^vvvv>v^>v<v<v<v<>vv^^v^v^v<v>^v>^><^>v^^<>><^vvv<v^^>>v<<^^<>><<v^v<<<<<^<<<>^^^>v^v^>>^<>vvv>^<>><<<v>v^v^v>^^<^v^>>>^^>>><>^>^vv><<^^^>vvv^^>>^^<<^v<<v>>vv^^<vvv<vv<<<<>>><<v^v>^><>^^>v^^><^^<v<<^^<^^^^v^<<>>><v<vvv<<>^v>>v>v<v^v<vv<><>^><v<v^<^^>v^<v<^>>vv^v^>^>>>^>>^<vvvv<<v>^v<<vvv>^v<<vvv<<<<>vv>v>>^><>^^>^^>v<^<v<>v>>v<>v<<vvv<>><><^>^vv><v^v>>>^^<^^><<><<v^^^>><><<>>v<v<^>>>>>>>^<>^<^<<v^v^^vvv^v>v>^v<^<<>><v<v^>vv^<v<>><<^<><v^^vvv<<vv>><<^v<>v<^^>>>v^vv>>>><<<^v>^^vv^<>^>^^^><>v^<>v^>v<v^v>>>^<v^^v^>^>^^^v<v^<><>>v^^>>>v<vv<v>v>>v^v>^vv<v^<>><><<v<v^>>v^>^>>^<><>v>>^<<<>>vv<>>>vv<v<<v^v>v<<<^<^^>v>^v>v<<^vv<^^v<><v^>^v<<v<^v^>>^<>v>v>><v<>vv>^^v>^^v<><<<^>>^<v>><^>^^^<^<<v<^^<><vv^<>v>^v<<<^<v<vv>>>v<<<v^<><^<><^<v^vv<v>v<>^><^^v><^v><>>^>v<<>>^>^v<>>^v>>v>v<<^<<>><<vv<>><<>>^>^<<><<><vv>^vv>^>v<^>v^^>v>>>>v<^>v>^v>>>v>vvvvvv<v^<v<^<^><vvv><>>><v>v<<<^^^^><^v>>vv>>^v>v<^>^^>v<><<^vv^vv>v^<v>v>v<v><v<^<v>^v><><<>^^>>vv<v>><<>>
+^v><>v^^<^>>>vv^>^^>^v>^^<v<v<>^<<^>^>vvv>><^v<^^><>^v>>^^>v<<^>><<>^<v>^><<>vv<^>>^<>v<vv^v>^>vvvv>v<>^<<^^<v<vv<^^v^v^^^<>^<^<v<>>v<>>^<<v<^vv^>^v^^>>^^^^<<^vvv<><<^>>><v<<v>^<^<>^<v^><<v^^^vv<<v^<vv>v<<><^^>>><^><<^^v><<^^>><>>^vv<v^v>^v<>v^v^<<<v^>^><<<^v>^>^^>^^>^vv<^vv^>><^^^<<<<v<v>^v^vv^<>><>^<vv<^^<v^^v^^<>v^v^^vvv^>>^^>vv>>><><<<<^v>>>^v<v<v<vvv<v^><<>>>>>><^^<^<^<v<v<vv^<v><v^^><v<^<<^^>>>>^^<><<^><><vv<^>v^v<<><<v>><><v><v><^><v<vvv>^v^^^^^<v<<>^<<^<^<>^><v<v>v><><vv>v^<v>><>v^^<>^^<v>^<^v<>>^^v^<v^<v>v^^^v<<<v^v^>v>v>v><v<<><v^<<<<<<vv>>^v^>^<v>>^^<v>>^<^<><>v><v>v>^<<v<v<v^<>><>>^^^<^v^<v<><v<v<^v<^vv>v>>^vv^><v<>^^>v^^>^>vvv<^v>^^>^<><>^<>v<<>><^<<<^v>^v^<vvv<><>>v^>^v<<<>v<><>><<vv^<>^<<<^^v>>^>v^<v^><^^vv>v<<>v^>vv^<><<^>v><>>^><^^^<v>>^>>v<^><<vvv^^<^>^^<v>vvv<<^v><v^^><^<<>v>v><<v^<>^<^v>>^^<<<>^>v>v^^^^<^<<<>vv<^vvv^^v<v>^><<<><^>vv^><v^>>>v<<>v>vv^^^><^<vv>>^><>^^>>v<v<>v<>>^>^>^<<v<<>v<v<^^v^<<v<><^v^^>>v^^><v><>^<^>>v><^<<<v>>^vv^<>>>^^><v^><<><v^<>>^vv^v^>^^v<^>
+^^^v^>vv^<<>^<^>>>^<<^vvv^>>>>><vv<>^<><vvvvv>v>v<<>^v<^v<v<v>^<v<<^><<^<^vv<<^v<>v<^<v>>>^v>><v<^^>v><^<v>^><<v<v<<<<^^>vvvvv^v>^^vv<<>^^v>v>vv><<<^^^^>^>vv>>v>>^vv<^<<><>v><v^^v<v^^>v><>^<>v^>vv<v^>v^>v>>v<v^>>vvv>v<><^vv<<vv>^>^<v^v^>v^><^<^>^<v^vvv>v<<^^>>v^>vvvvv<^^^><v^^>^<<v<v^>v<<<^^<<>v>v<<>^<^<v><v^<<^>><>^v<<^v<>^<<v>v>^<<>v<v^vv^>^>^^<v<<^<^^<<<v^>^>^v<^vv>v<<^v<>v<^vv<^^>>><^^^^<>><<^v<^<^<>>v<v<v<<>^^v^v^^v^<^^^>vv>>>^vvv<^>>^v><>v<^^v<><>v^^><^<^v<<>>^^<>^>^>v>><<v><><<<v<>v<v<>vv^vv^v<<<^^v^vv>^>^<^<>^>v>>><v<^^<v<<<^<<v>^<<^^v<^<<^^>vv<^^^^>>^^>^v><><^v<v^^^v<><>>v<<>^>^^v<^v^^>^<v^v<<<>^>>>v>^<<vv^><>^^><<^<>^>^^><<^<>^>^v>^^<^<>>^^v^v>v^>v^<^v^>v>v^^<^><v<vv^>^^>><<^v>^<<^^<^^<<^^>vv^>>^^v<>><<v^v<<<>^<>><^v^^^<<^vvv><^>>^>^>>v>^<><^<<^v>^<vvvv<>>^^^vv<^^v^<v^>>v>^^^>^>^v^<>v>>vv<^><>v><vv<<v<^^vv>^^><<><<v<^^^>>>vv><vv^^v<>>vv>^>>>^<<<>v^v>^vv^<<>>v<>v^<<v>>v^>>v<<^>^vv<>v^v^<v<^<vv>>><<v>v>^v>^v>^><^^v>>vv<>v^^v>><>>^^<^v^>^<vv>v><>^v<^^>v^^<>v^^v^>>^^>^<<<<^^>><^^
+<^<><<v^>>^<v^^<><><<>><^v<^<^<><v>>v<^^<<>><<>><v^>vv<vv^<>v^>v^v><^v^>>>^<^^><^<>><^>v^<v<<>v>^<v>v<^>^^<v><^<^^vv^>^^v<<>><<>>v^<>vv<<>^v><^<^^v<v<<<v<v>^^<><v^v^<<v^vv<v>v>v><^v>>^>^^>vv>>^v<<^^^^>^<<>>^>>^>^v^>^v<<^<>^v<<<^>><<v^<v<^v<><<>^v^>v>^^v>^^v>>v^>><<<^<^^>><^<><^v<^v<<v<>^v^v^>>v^^^<^<v<><vv>>v^<vvvv^v^v<v^>^<vv>><>v<<v<vv^^>>^>^vv^^v>><<>^^<^^v><>v^^v^>v<^^>>^<v>^vv^^^^^^vvv<>^v<^^><<<><<<^>v^>>^vv><>v><>vv^^^v><v^v^^>>>vvv>v><<<^<^^<^>^>v^<v^^v^v><v^v<>v^vv><v><<vvvv>>v>^^vv><v^<v<>^^v>><v<^^>^^v^v^vv^v>^v>^<v<>><><>^^<^<>>>><^>^v^^<><>v>^<^><><^<<vv^^vv<>^<v>>>vv<^<<^>><<^^^^>>v<v<<^>^v<^>v<<<v<v^<<v><<<<^v<<>v<^<^<^v<><<><^v<^^v><>v^^<>>>v^^v^>>>v^vvv>vv<^^^^><<^>v>>>^<v>v<v^v<<v>v<v^^>>>v^v>^v^<v^^v<^<<^>>^<><v><<^<^><^^^>vv^<v<v<><^v<>v>>^v<>^^^vv^^<<^^<<vv>^^^>v>>v>>v^><><>>^>vv^<v<<>><>vvvv<v<<^vv<<v<>v^v^^>>v<>v<<v^><^<^v<<<v^v<<^v<v^>v<<<^v>>>v^<<<<<<>v>^^>><^>>^<^><^>^<<<v^<<<>>^<>>>>vv>v<>^^v>>^v<^^<>v^v>^<v>^<<>^v^v^v^<<<^vv^^<><vv>vv^v^<><v<v>^<>^v><^^v<<vv
+v^<v<v<<^><><<v^>v<<v^<v<>^^>>v^>^v><<v^<v><<vv>><>^v^v><<v<^><^><<<><<^<^^>v><^v<v<v><v^^v^><^><>v<^>^v<v^><<^vv>>v<<v<^v><v^v^v><>v<v><v>>>^v>v^^^><^<v^v<vvvv<v^<v<v<><^^<v<<<^v<vv>>v^<<<^^>vv^vvv<<<<vvvv<<^>^<v<^<>^>>v<<v>vvvv>v>>^>>v<>v^vvv<><^^^>^<^>v^<<^<^v<<<vvv<^vvvvvv^<>v^^>^<^<<>^<v<^>^<^<^<<^v><v>vv<v>v^><^vv><^<<>vv^<>^>^v<<>>^v^<^^<><>^v<^><v<<vv<^><<><<v^><v<>><^v^v^v<<^>^v<>>^vv>^>>v^^vv>>>v^^^>vv>^<<<<>><>>^<<>^^^<<>>v^><^^>v^>^><^v<^^><^^^v^^v^<v<<^<<<<>>>><<<^<v^^>><>^^<^v<>^^^<><>vv>>^<><>>^v>v>>v^v^^^v>><><>><>>^><v^>^v><<v>>v^v^v<v><>v<vvvv^v<><v^>v>v>>>v<<<<>><><v><<v<>v<>v^<^^v^<^<>v^><<^>vv>>v<v>>>>^<>^^v>>^^^<>^<^v^>^v^>v><vv<><^^v>><><>>v^<<vv^>^><><^<vv^>^^<>^>v^^^v<vv><^v^>^v>>v>^vv^^><v>^^>>vv<^v^>^<>>>>>><>><>v>v><<v<<v>><><<^<v^^^^<^v>v^>v<>^<>vv<>v<<><v><^>v^><^>v^><<<>^><><^<^^^v^<<>^^<vv>>><^vv>>^v>><>v<v>^^v>v<^^><^<^>v<v^^vv>^<v<v<v<v^<^><v^<><><><>>><^^vvvvv^>>^^^<<>><>>v>>v>^^<<^^v>^^^v^v>><>>^<v>>^v^v><^>v><vv^^<vv>^v>v^<^^<>>^<<><>>>>>vvv>^><<^^v
+^><v<^<v^>v>^v<^^v^<><^<vv<>v>v^>vv^<v<<<^<v<<>^>>>v>vv^v><<><<v>>>^>><^>^<><>vv^^^>^<<^^>^^v<<v<^vv><v^vv<<v>^^^v>><v<^v>^<><^>^^vv>><>v>v^>><^^^>v>>>>v^>^>^^<^<^>>>>^v>v^>^<>v<<vv><<^<v^<^v>^v>^<v>v^><^>^v^<v>vvvv^<<v><<v<<<<v<^vv<vv>^v><>^^v>>^vv<v<v>><v<>>^^^v>>v<^>^><^vvv><<<^^^v^v<>v>>^>>>v^>>>^^>vv>>v^<<><<<<<v><^^^><><<><<v>vv<>>>^><vv^<><v<<^^^v>^v^v^>vv<>>v>^><^^^<vvv>^<v<<vvv><<<<<vv<<^><<v<v>^<^^v<^>^<>>^v>vv>>vv>v><<<<<>v<<v<^<<<^v<<v<>^<<v>^v^^>v<v>>>v<^^><>>^<^v<>^><>^^><<>v<vv>v>><^>v>>v<>>v^<v^>vvv^^^vvv<>^>>^v>v^<<v><v^^<^>vv><>v<>^>^<<><vv>^<<>^^>v><>^>><^><^><<v^^><vv>vvvvv<v>^<><vvv><vv<vv^v>^<v<v>>^vv<<v<><>>>><>^><v<v>^v><<^^^^<v>v^v^<v<<><v<>>><<>><v>^^^<><^v^^^^^v<^vv>vv<<^>>>>^v<^<v<>vvv>>v>>v^v>^<^v^vv<>^v^<<^<^>^<^<^^^^<^><^>>^vv>vv>^<v><<^v^^^^^<v>v>>v^>^<v>v<<v<>v><>v^^>v^<<^^>^><v^><>^>^v>v<<<<><<<vvv<><><<>^v<<<^>>v<<>^v>^<^^>>v^>^>vv<<><<^^v^vv>^^>v^^><v<^<<<^v>><<v^><^<<<v><<<<><v>><<v<>^><^><v>>vv^^<v<^><>v^^<>^vv>^v>^^v^^^^^<>^<>>>v<v<^><<<^>>v^<<<^<
+>^^<v>^^>vvv^^<^<<>>vv<^<<<^<vv><>^^<^^^<^^vvv<^v<>>v>^><v^>^^^v<<<^v>>^v>vv<^v^v<v><^>vv<>vvv^vvv<>^<<v><>>>^>v^>><^^^^v<v<<v>vvv>v^v>vvvv><v<^v<v<<<^v><<^^^<>v>^v^v^<>v^>v<<<><^^^<v>vv>^>^v>v><<v<>^^v<vv>v<><>v<vv<vvv>>>^<<^vv<<><<v^<vvv>v<<>vv^<^>^v^>^v<v^v>v>>vv^<v<v<<<^>>vv<<^<v>^<>v^>^>^^>v>v^<v<v^^<v<v>>v^>^v><^^><<^<^^<^^<^v><v<^>^>v>>^<<><>>v>v<^<^<v<^>>^v<^^<<<>^^v<^>>^v<>><^<<^<<<<>>>>v^^^^<>^>v<v>^>>>vv^v>v<><>v><vvv^>^v>><vvv^<<v^v>^vv^<<^v>>^<v<>>^v<><^v<v>><^><<^<^>v^>^^^v>^<^>^>^^><<>^><^>^^>v<>><v<<^<>>>>>v>><>^<^^^^<>>v<><>>><^<<>v^^<<vv>^^><<>><>^<>^^^<vvv^<v^^^^^>>^^<vv<<<v<<^v^<<v^><v>^^^><>v<^>>>^>>v<><v>v>>>v<>v<><vv^^><^<>^<><vv>vv>>vvv^v<>vv>><^>v<v>v<><><v<<v<vv^<>>v>>^v><<^>><^>>^<>><><<>v^<^>v<^^v>><<><>v^v<>>vv>>><vv<v^^<v^^>v^^vv>><^vvv^vv>>vv^^><<^^<v>v<^<<<<v^<<^<vv<^v^v>v^^^v<v>v><<<^>>v>><v>>vv<>>>>>^<<>v>v^>vv^>^^>>v<<v<^<><^>v>^vv><>^vv^<^>v>>vv<<vv>vvv>v^v<^^>^v>>^<><^v<^>^vv^^vvv>v<v>>v>^>>>^^<>vv><^v<vv>^><^><<<^^>v<<<><<v>^v<vv<vvv>^^<v<>v><<^<^<
+<v><<^vv>v<<>vv<v<<v^<>>>>^^^v^<^vv^><^<><v^<><^v^>^<^^<v><v>^>^v<>^<<><<^^<v<v<>^<>>>><<>>vvv^<v>^<v>vvv^^>><v<<^^>>^<v>^>^^<v>^>^<<<>^vv>^<<<^>^v<^v<v<>v^>^<<>^^v^v<<>>><^^>v>v<^^>>^><<v^><<>v^>^vv^>^>>>^<v<<^>><^vv<><^^<<>>v<><<v>vv>^v>v<vv>><<>><^<^<^^v<<^v<^>^><v^>v>>^><^^^^v<><v<^v<<><^>v<^vv<<>v>>>>^^<^^><>v^^<<^>^^^^>^>>><v<>v^>v^<>v^v^vv<<>v^<<><^<^<^>>>^<v^v>^v^>>>^^>^v><>vv<vv^<<v<vv><<<^v<vvv^<^^^vv<<v<v<>v^^v<>vv>v>v<>><^v>>v^<>v>>vv<^<>v^^<<^<>^<><<>vv>^>v>>^<<>v>v^v<>^>vv^<<vv<<^>>^vv^v<vvvv^v>^vvv<<v>><>^^v^<<^<v^v>v^<>^<>>vv>>>^^>><>v<^v^v^^<^>^>^v>>><<^^v><v>^v<v^>v>^vv<>^<<v<<<^vv^<^v<vvv>v^>><^><^^<v<>^v<v><vvv>vv<^>v^>>^v<<<^>>>v<^vv<^<v^>>><v^^v^<<v<^v>vv>v>v^^>^<<^><><v<>>v<v<^<>>^v<^^<>>^>^<v<v<^vvv^^<<v<^^^<v<>>>^^^<v<>v>^^v><<^<>><<>>vv>v<>^^><<^v>><<vv><v>^^>v<>>^v>vvv>>v<^<v>v^v^vvv^^vv<^>>v>^v^<<<v<>v<>^^vv^<<^^><<v>^v<^v<^>vv<vv>^<>v^>^v<<^<^>v<^<^v^><<>vvv><v><vv><v><v^v<^><>^^<v<<><v<<>^<>^<<^v^^>v<v>><^vvv^>>vvv^^^>>>^<<vv^><vvv><<^<>vv>vv>v<>>vvv<><><<
+^<><v^<vv^vv^vv^<v>^vv<>vvv<^<vv<<><^<vv^<<><>v^v^^vv^v>>v^v><<^^>v<><<^<>vv^<<^vvv>v^<^>^<^>^^><^vv>v^>v<>^vv^<^><v^^v<^^>v<>>v<^^><<>>><vv>v^^^v<<>v<<<v^v^^>v><<vvv>^<<^<<^>^v<v><v^v<>v^^v^v<><<<^<<^vv^v^<<<^vv>^<^<vv<v><<v<vv>v<<<v>>><v^<><^>v>^^^v<<<>>><^>v<v<<<^<<^^^>^^^<v>>>v^^<^v^^><>^<v^>v>v<^vvv^><>><^^^v><^<v>><>>v<^v^^<>>vv<<<>>>^^^^>>^^^>v>^><<>v>v<><^v^vvvvv><>vvv>^v><v>v>vvv>>vv<^<v>v>v^^v^>>^<<vvvv<vvv>>v<^<<<>v<><>^^v^<v<v<>>v<<<>>^v>^^<^>>v<^v^>v>^>>^vv><v>vvv<^>^^vv^^<>vv<><<v>^vv^>v><>v>^>v^<v<<v^<^v^v^vv^>^v>^v<^vv<>v^><^^><<^>^vv<vv><>vv<<<<<^vvv>^>^<vv^<><^v>vv><^>vvv>vvv>^vv^<^<><^^^<<<<vv>^<<<<<v^>>^<^<>>^<>>>v<<^^>vvv^^<<<><<<><>v^vv^<<vv^>>v><><<^<<^^<<^^>><v^>^v^vv<>>vvv^vvv<^<v><v>>v<<>>^v><v^v<><>><>v>^^>>>><<<>v<<>v^v>vv>><v<>^^^<>^^v<<^>>v<vv><v<v^v<^<>>vv>v<v<v<><>>v^v>^<^^^v<v^<vv<>^v>^>>>^^^<^>vv^>^^<>><^<>><>^><<^^^v<^^<<v<>^^<v^v<v<>^v<v<v>v^<<^>^<v>^><v^vv<<v>v><v<v>^<v<<^^^^v<^<^<vv<><v<><<vv><^^^<<>>vvv><^>>v<>vvv<v>v><<v^^^>^>^<<<v^>><v^>^<^^<v^>
+vv^<^^v>^<<^v>vvv<v<v^v^><<<v>^>^vvv>v>>>^<>^vvvvvvvv^<<>^>><v^^>v><v<>v^v><>>>>v><vv>^v<><vvv^vv^><>vv><<>>>v<v<<>vv>^v^>>^vv>vv^><^<><v^^v<v>v>^^>v>>>>v>v>^v^<>v>>v^><>>^<<>v><^^v>^^^vv^<^>^>>v^<^v>^v><>^<^^^^<>vv^^v^^^>^^><vv^^vv>^vv^<>>^<<>^v<v<<^vv<<>^^<^><>v<>^^v^^>vv<<v<>^<v>^<^^<>^><vv<><<>vv^^v^><>vv<<^^>>v>vv>^vv<v<<v<v>>^<^^<v^<^>^><>v>v>v>>>^v<>^^<^>v<v>>^v>>^v>>^^^v>^vvv^^v<>^<>^<^v<^<v>vv^<^<<^v><^vv><^^>vvvv<<<<>^>^>>^v>>><>><<v^^vv^^vv^<><>^>v^>^<^><<v^v<<^>><vv<><v>v^<vv^><^^^>v^><^^^<v<v>v^<>><<v>^<<^>v^<v^>^>>^vvv>>>v^v^<v>^<v<><<<>^v^^<v^vvv^^^>vv^v<^<v>v<vv^>^<<^^v^v^<v>vv><<>>v^<<vv>>>v^<>v^<>v<v<>^<>^v<>>^>>^<^v^>v^>^v<^^v<<v>>><>v>v<v^v>^^v^<^v^<>^^>>>v><>v<<<<^v>v>>^^<^>^<^<v<^<^>>^^>^<>v^><<^^v^<vv^><><><<^v<>v<><><vv^<>>^><>>vvv^<^^^^>^v<>v<^v<v><v><>><^<<<><>^^<>>^vv>>>v><^<^>><v^^>v><<><^><v<^v><>vv^v^^^^<^v<v>>^>>vv>v>>^^v<vvv^>^>v^>^<>v^vvv^^^<^vv^v^v>>vv^><^<^>>vv<^<vvv^>v^<<v><v<>^^vvvv>v>^^v^>>vv^^^<^>v<<<>^>v<>v^vv^><v^^>vv<>v>v^v>><^<><>v>>v>>^><v<^<
+v<vvvv<^>>v^v^>^<>>><v><><>v<^^v>v<>vv>^<><>^^v><<^v<>^<^>>^<>><<v>v^<>v>^<v>v<v<v<<>^<^v>>v<>^^<^<<^v<<>vv>v<<^<v>^v><v^^v>^^<^>>>v^<v^^v<^v<<v>v<v^<^^v<vvv>^><>v>^<v<<>^<vvv<vvvv^>^v>vv^^^><^>v>v<<^vv^<^^>^^vv^v<<^<<>>^>^v^v<v><><^v>v^v^<<^<v>^^<>^<^>^><><<>^>^^v^v<<><>v<>v^v>v<^<>^vv^^^vvv<v^>>>vvv>>v^>>>^^<^^><<>^v<>>^<^v^<><><vv^>^>^<^^>v>>^^v^vv^>>vv^^v><<v>><v<<<<>v<<<>>v<v^^v^^^^v>^vv>><>^>>>>><v<>>v<v^<vv<v>><<<^v>>>vv>v^<^<<^<v^>v^<>^^^<>>v<v<v<><>v>v<><>v<<v><^<>v^><>^vv<v^^<<<>^>>vv^^>^^<^<><vv<><^^><v<^v<>^>>><>^><vvv><^<<v^<>v^v<><<<^^>><<><v^<^vvv^v>><^^^><v^vvv>^v><^<<v^>^>v<v>>vv>^<^vv<<>v^<v>>^^^>^<<<^<v^>^^v<vvv^^>^<<^>><><v^vvv><><^^<<^<>^<>^v^v<<>^>^>>vv<v>>v>>v<vv<vv<v<^<v^v<<<^^>^v<<><>v^>vv<<vv^^^<>><v>^v>v<<vv<<^v^<^^^vv><vv^^^^^^vv<<>^v^vv>>><>^<>><<>>v>v^>>v>>v<<>v>^^v^^^<^v^^v>v>^>>v>><<v><^>><^<^>^>^<v^v^<<^>^v^<>^>v<>>^<>vv>v^<v<<vv><<v^v<<><<><vv><^>>v^><^v>^><<^>>><>>^<v><v^>v>v>>>>>vv<vvv<<>v>^^>v^^>v<v>^<^^<^>>^^>v><<v<<>^><^^><v>^^>>v<><^>v<v<><<>^v>v
+>vv>>>>v><<^v>^^vvvvv><^v<>^<<>^^<^vv^>^<^^<>^vv<<^<v>^v<^<><<v><<^<v<<<v<<vv^v<v^>^v<>><<^<<><<<>^vv<v><v<>^<^><>vv>v^v<v><^v<vv>^>^^^v>^^<<^v>v>^<<^^^v<v>v^<<^<<<>>>^>^v><<>v>^<^<<^vv>><<^<^^><<>^v<^^><vv^>><v><<v^v<<<><v>^<^<vv^>v<>>^vvv^^v>^v^^v>^>^^^^<>><vv>vv>>>vv<<^vv<>>><v><<^^<><<<>>^^^v>^v>v<^<^v^^<<^<^vv<<<<<<vv<^>v^vv^>v>v^<^^<vv<>^><v^^^v^>^><<^<^>^<<^<<>><v>^<^>^^><^v^^^^v>>v<>^^<><^<^^><>vv>>><vv<^<>^v>>vv>^^><vvv>v<>^>>>>>><<<^<>>^<^>^<^<v>v^v^^v^^^>>^<<>v>>v>>>v^<<v^><v>^>v>v>^>vvv<<<>v<^<>v<>>>^<v><<^<v><v>>vv>>><^v^<<<<<^v<^^vv>^vvv<^v>v^^<^^v>>^<<<>^>>^^>^>>>>^v>v^<^^><>v<<<<^<v>v>^>^>>v><<^^^>v>><vv>^><>>^vv^^^<^<>v^^<>^v>^<>>^^v^>^^^v<><v^>>^><<>^^>>v<>>^<>vvvv>>>^vvv>^vv><><>v^v<v<^vv^v<>>v>>vv><<<>vv<^v>v>^v><v^<<^^^^v<^<>^<><v>^>v<<^v^<v<^<vv>v^^v>^<<<>^v<v<^v^<v^<^^v^^>>v>v>v>^^v<<v>^v>v^>^<v>>^^<>^>^><^<><>^>v>^>><^^^vv^<><<<<^>>>><^^^>vv><^<>>><<v><^v>v<<^v^vv>><>v<><^v>v^v>><v<^^^^>^>v>v<>^^<>vv>>v><<>v>><^<^v<<^>vvvv<<v<<^^<v<^^<>>^v<>^^v<>^^>v<<<>>^^>vvv<
+>^v^v^>>vv><<^<>v>v^v^><<<>v<<^v<v<>v^^<^>^>^vv<<>v^>>^>v<^>^v>^<>v>v^><v><>>^<v<^>>v^<v^v^^^^v<<^>>>^>>><>v^v^>^>>vv^<^>v<>>v^^>>^><<<<^>>v><<<vvv>><^v^^><>v>vv^>v<<<<^^>>>><^>^>>>>^v<<><^^v^<v><^>>>>^>>v><^<><>>>>v><v>v>>>>v^^<v>>^v<<v<<>>^<v^<>>>^<<>>v>^><>v^^>^<<><^<>>>>v<vv^^v^v>^v^v>^><^<^v^v<^v^^>^^>><v><^>^>^>>^^>>^<>vv>><>v><^>>v<<^><<^<^>v^<v>vv>v^v^^>^>>v><^<>v^><>>>^^v>v^^>>>^v<><<<<<^v^><^>>^^vv^>><^<v>v><<v^><^>^>v<^^v^vv<<^>^<>^<v><v>v^vv^<>v<vv^vv>v>^><v>>vv>>^^>^<v<<v<<^^vvv<v<v<<<<<v>^^<>^v^><v>vv>^^^v^<<>^><v<<<<>^><vv^vvv^<<^vv><v^^<<<^<>><v<<^>vv>^^>v<<v>vvvv^<<<<<v>^^>^<>v><^<>v^>^<<>v^>><>>>^^<v>^<>v^>>>^^>><^<v><^<<>^<<<v>v^><<^v<v<><v^<^<><v^^<v^vv^>v^<v<v^><><<vv<>^v<<<^vv<>v^>^^v>><<<v<><vv><<v>^<v^^<>^<>vv<<v<<<><v><<v^^<v^><>^^^^v^vv^<>v>>>>v<>>><v>v>v>^>v^v>vvv^<<<>^^v>vv<v<v<><<>>^<>v<vv>>>^<<>^<v^>><v<v^vv>^^<<^v^v<<<<<<^>^^<<>v<<><<<^v><<<v^<^<v^><v<>>><>^><^<><vvv^v>v<^v><v>>vv<<>v^v<<^<^>^>^v<v<<v<v>><v^<^<^v>v<<<>^>^<>^<v^<v^v^v>^^^v^vv^v>^>vv><^<<>>
+^v><>v<^^^<>>>><>>>^v<vv<<^^<><<^<^>v>>^<<v>><v<<>><^>>v^v^^>v^>v^><^<vv^>><v<>v>vvv<<>v><^vvv>^^vv^<^>><v<>^vvv>^^^>^v^^vv^v^<>^^<>^<v>^^<<v>><<^^<<^<<<>^>v<v^<>>^>^v^^<>^><vvv^<vv<>v<^<vv><^^v<<<vv>^^^>v^^<v^^>v>><<<^<<><<<><><vv^v>>^^>^<<>>><<^>vv><v>^vv^<>^>><>^^<><><<><>^^<><^<>v>^^<<v>v^<<>>v>^>^^>vv^^v<^vv><<vv^^^^^<<<<v<^<<>v^^v^<v>v><<<<<>>v^>^>><<>^^><>v>>v^<^^^^>>v><<v>>^v<<v><vv>>v^<<^>>><^<^v<>vvv<<vv<^<v^v>v<v<<v^^v><<>v<v<>^<>><^>^^^>^v^<<>v^v^^>>v>^v>v<><<^>v^<><<<v^>>>>>vvv^v<>^^>^^^<vvv<vv^^>v<v><v<vv^><^v>>v<v^^>^vvv^^>>vvvv^><^vv^^vvv<<>>^>v^v^v><^^^^vv^^><^<<><<<<v><<^v<^<>>^^vv<><^^><v^<^><^>v^^^<^^>>vv^^>><v<<^<>>><v<^<<v<v>v>>^>>>>><v>v<><^^>^<v<^^vv><<<^<><v^<^v^^v<<<v<<<vvv>><>>>vvvv^<^^v<v^v^vv^v^<v^<<>v>><^^^v><^v^<v^^><vv^<><^^<^<<<<vvv<v><>>>v^<v>v>vvv>><vv>^>^<^><^v>vvv^v><><>>><^<v<v<<<>v<v<<v^>^<v^v<vvvvv>>^><v>>v>>>>vv^<vvv^v^v>>v>v^><<>v^vv^><^>^<vv^v<<v><vv<<^v<>^><v^<^>v>vv^<^vv<v^>^<vv<v^><^>vvv<v^<^<>^v<v^^>><^^<vv^>>vv><^>>^><>>v><>><<<^>>v>^^<<^
+>>^vv>^>^><>>>v>^><^<><>><<<<><<^<^<v^v^v>>>><><vv>>^<>v<v^>v<<^>>v^v>^>^>v<^v>>v<vv^vvv<<^^^<^v<vv<>>^^><<><<^v><^^v>><v>^<v<><^>>v><v^v<^<v^>>v>>>^v<^v><<>v>^<^^^<^vv><<<><>^v^v^^>^v>>v<v<^<<v^^><<^vv>v>^vv<^>v<><<^<<^<^^v^<vv>^<>vv<^>>^^^<^v><>vv^>vv^^vvvv^>v>^v>^<><v^^>v<><vv^><>^>v<>><v<<>^^>^<>vv<>^vvv>><^^v<>>^<v<v^>>v^>>>vvv<<vv^^^^>>^^<<>vv<<>>>v<>v>v^^v<vvv<><><<<^v^>^v^^^v>>v^>v>^v<>v^><>^><v^vv<^<^v^^v<><vv<<^^><v>>^<>^<v>v<<v^^v<v><<>^><>>><><><<>^^<^>vvvv<<v<^<^v><^<<>>vvv^^vvvv>vv<<v<>^^<><<><>^<^v<^v>^^<><>>v><^>><v<v>v>>vv<<v<v<vv>^v^<>>^v^<><<<vv^^>v^<<v^v<^v^>><vv><>^^>><<^>><<v>^<>^>v<^^^vv^<<<<^vv>><vv^><^><^<^^<><v<<^>^^><v>^>^vv><vv><^v>v<vv>^><v^<vv>>vv^v>v>><v^^><^<vvv<v^^<<v^>^<^^^vvv<^>^>^><^^<v^<>v^vvv>^<<v<^^v>v>>>><>vv<>^v<<v>>^<^<<<<^v>^^>>vv>>v>v<vv^><^^v<<<v<<<<^>v^<^v<^^^><^v>^><v^^<^<>>>v^^<^v^<v<^^>vvv>^<<^v<>>^v<<^^v^<v<v<<v^v^<<>v>^^^<v>>^>>^^>>v^>v><>vv^<v<vv^v<vv^^vv>^^>>v<^>>v>v^<>>v^^v>>>v<<>vvvvv>><><>^^<<v>^<>v^^^<><^>><^^v^v^^<^<v><><<<v><<>
+vv>>^v<v<^v<<<<^v<>v<<^v^<vv><>>v<<><v<<><<^vvvv<<^<<v<>v<v>>^^>^<<^v<^v<^<>v><<vv^<vv<v^>v><<>vv^v><vv<<<>><^<v<<><<>v>>v><>>^^<>>>^<>v><><>v^<v>v>>^v>v>^<>><>^^<<^v><>^<^><^>>v^^<^<v^<>^^v>>v<^v><v^>^>vvv>v<<vvv^<v<v>v>v>^^vv<<>v>><^v^v^^v<^vv<<><>>>^^^v>v^^^>v^<><^<>^><v>><<>v^>^>v>><v>v>><^v^v<<>^v<>>v^v^v^^v^^>>v>^<^>>><^v^<<^>^>^>>v>>^>vvvv>>>^^^<<vv>^v<v<^^<v<<>^v>^<^>>v<><<v>v><v>v^<><^<<^v^<^<<^^v>^<v<<>v>v^<><^v^^>><>^<^^><<v^^^v^>>>v>vv^v^v<<<>^v<>^^vv<>^v><^vv<^vv^<<<^<<^^><<><<>^v^<v>v<vv^^^^>vv^^>^<<v<><^>^<<<v<><vv><^v<<>>v>>>><^^>^>^>>>>^<vv>^^v^^>v<^^<^vv>>^^^^vv<^>v<><vv<^^v><<><><^v^><^^>>^^>vv><v^<>v^v>v>^<<v><<^v^v>v>^<v^>><v^<<^<>>^^>>><vv<vv<<>>v<<^<^>><v<v>v><>v^<v^v>^vv>>><^^>>v^^>^>^<^>^v<v<^^>v>v<<vv>>^<>v>v^<v^<<vvv>^^<>vv>>^^>>><<^v<<v>vvv><v>^>v^vvvv^>>^<^<>v<vv>^<v^><<<v^v^>vv><>^<<vv^>>^>>^^v<><v<v^>>v^^v^><^><v^>^^v<^>^v^>^<>>^^>vv^vv<^^v<<<<^<vv<<<^vv>^^<vv^<v<v^><^>v>v^<<>^<^^^^^v>^^>^>vv>>v><^v^^>v<^>v^>><v<<v^>^>>^^v><>>^><<v<>v<><^^v>^v>^>v<v<^v<>^
+>^vv>^<vvvv>v<><<vv>><vv<>v^<<>>v>v<^><>^v<><>>^<<<v>^>vvvvv^>vv^^<>><^<>v>^^><v<>^<>>vv^vv^^v^>vv^<v>v^>>vv>>v^><<<>>^<<^>vv>v>^<>>>^^<v^^>><v^v<v^><<v>^v<>>^vv<>v<vv>^^>>><^<^^>>>vvv><><vv<v>v^<^^<^><>>^<<><<>>v>v^^^><^>v<<>^^<<vv<>>>v>>v^v<<><<^v^^<<vvv^v^^<>v><<^v>>^v<>^^^^v>^>>^>>v^>^>>v>>><^><<^v><>><><v^<v<<>><^v<^>vv<v^<>v^<<^><<<^^>>v<^>>v>>v>>>^<v^v<v<<>v>^><<vv>vv><^>v>^v<v^v><^<^vv^<vv<^^v>^^v^v<v<>>>>>^v>>^>^>v<>^>^<v^<>>^^v>v<>^<><^^<v<v^><<^v>v><>v>^>^<>><>>^>v^<v>v<<<>^><^v<><v>^^^^v<><^^v^^<^v>^<<v^>^>><^v><><<^^^v>><^^<<^>^vv<<^<>>v<<>>><v>>>^<<v<<><v<^v<v^v<>>^>v<<v^<><<>v<^v^<vv>><vvv>v<^^<<^v<<^v><>^vv>v<><v^><v<^^<<<>v<<<^^v^><^^^^<^^v<<^<>v><>>v<vv<vv<v^v<<>><v^v>^v<><v<><v>v><>><^>^^^<v<<^^>>v<<<<v<<^v^vv>>v^>vv<><<<^^><v>^^>^^v<^>^^^v<^^>>>^<^<>v<vv<<^^><^^v^vv<v<v^<^v<<v><^^^<v<>v<^<<v><^><><>v^v>>>^vv^<<^v<<><<<><^^^>>^<^v^v<<>v<v<^<^v^<<^<^>^v^v>v><^^>^>>^<<><v^><<^<<<>v^><>><^<v^v>>^<^<^v^<<<^>^<>^^<>>^<^v^v>v^><v^<>v^>>vv>>>^<>vv<><>^>>^><>>v><^>>>^><^v<vv

2024/d15/ex2/ex2.py

@@ -0,0 +1,149 @@
+#!/usr/bin/env python
+
+import copy
+import enum
+import sys
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+class Direction(enum.StrEnum):
+    UP = "^"
+    RIGHT = ">"
+    DOWN = "v"
+    LEFT = "<"
+
+    def step(self, p: Point) -> Point:
+        dx: int
+        dy: int
+
+        match self:
+            case Direction.UP:
+                dx, dy = -1, 0
+            case Direction.RIGHT:
+                dx, dy = 0, 1
+            case Direction.DOWN:
+                dx, dy = 1, 0
+            case Direction.LEFT:
+                dx, dy = 0, -1
+
+        return Point(p.x + dx, p.y + dy)
+
+
+class Object(enum.StrEnum):
+    BOX = "O"
+    WALL = "#"
+
+
+# Maze always contains the left part of the object
+Maze = dict[Point, Object]
+# WideMaze maps left and right side of an object to its (left, right) tuple
+WideMaze = dict[Point, tuple[Point, Point]]
+
+
+def solve(input: str) -> int:
+    def parse_maze(input: list[str]) -> tuple[Point, Maze]:
+        robot: Point | None = None
+        maze: Maze = {}
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                if c == "@":
+                    robot = Point(x, y * 2)
+                    continue
+                maze[Point(x, y * 2)] = Object(c)
+
+        assert robot is not None  # Sanity check
+        return robot, maze
+
+    def parse_directions(input: str) -> list[Direction]:
+        return [Direction(c) for c in input if c in Direction]
+
+    def parse(input: str) -> tuple[Point, Maze, list[Direction]]:
+        maze_input, directions_input = input.split("\n\n")
+        robot, maze = parse_maze(maze_input.splitlines())
+        directions = parse_directions(directions_input)
+        return robot, maze, directions
+
+    def step(robot: Point, maze: Maze, d: Direction) -> tuple[Point, Maze]:
+        def widen_maze() -> WideMaze:
+            res: WideMaze = {}
+            for p in maze.keys():
+                right_p = Point(p.x, p.y + 1)
+                res[p] = (p, right_p)
+                res[right_p] = (p, right_p)
+            return res
+
+        def boxes_along(wide_maze: WideMaze) -> set[Point] | None:
+            def helper(current: Point) -> set[Point] | None:
+                # Return empty set if we hit the air
+                if current not in wide_maze:
+                    return set()
+
+                # Query both sides of the object
+                left, right = wide_maze[current]
+
+                # Return None if we hit a wall
+                if maze[left] == Object.WALL:
+                    return None
+                assert right not in maze  # Sanity check
+
+                # Try to move both sides of the box recursively
+                res_left: set[Point] = set()
+                res_right: set[Point] = set()
+                # Only check next_left if not moving right
+                if (next_left := d.step(left)) != right:
+                    if (try_left := helper(next_left)) is None:
+                        return None
+                    res_left = try_left
+                # And only check next_right if not moving left
+                if (next_right := d.step(right)) != left:
+                    if (try_right := helper(next_right)) is None:
+                        return None
+                    res_right = try_right
+
+                # Both sides succeeded, return the set of boxes to move
+                return {left} | res_left | res_right
+
+            return helper(d.step(robot))
+
+        def move_boxes(boxes: set[Point]) -> Maze:
+            new_maze = copy.copy(maze)
+            # Do the move in two steps to avoid overwriting any values during movement
+            for box in boxes:
+                new_maze.pop(box)
+            for box in boxes:
+                new_maze[d.step(box)] = maze[box]
+            return new_maze
+
+        new_robot = d.step(robot)
+        # If we hit a wall, abort the step
+        if maze.get(new_robot) == Object.WALL:
+            return robot, maze
+        # If a box hits a wall, abort the step
+        if (boxes := boxes_along(widen_maze())) is None:
+            return robot, maze
+        # Otherwise move everything along the direction
+        return new_robot, move_boxes(boxes)
+
+    def compute_coordinates(maze: Maze) -> int:
+        return sum(100 * p.x + p.y for p, obj in maze.items() if obj == Object.BOX)
+
+    robot, maze, directions = parse(input)
+    for d in directions:
+        robot, maze = step(robot, maze, d)
+    return compute_coordinates(maze)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d15/ex2/input

@@ -0,0 +1,71 @@
+##################################################
+#......O.O..O......O......O..OO...O..O.O.O..O..O.#
+#....O.O..#.O....O#.#.#......O.O#O.O#O#..O.O.....#
+#.........O..#O......O...OO..O..O..O#....O.......#
+#.O.O......O#.#..#.#.........O...OOO.O..O..O....O#
+#..O......O.......O..O.#O......OO.O.O#..O.OO..O..#
+#O.O.....O.O......O....O..OO...#.#...O##OO#O.....#
+#O..O....OOOO...#.O.O.O#.....##.....O#.##..O.....#
+#O..O.O....O.#..O.O.OO#O.#..#.O....O..O.#.....O..#
+##..OOOO..O..#O.#.O....O...............OO.....O..#
+#O.O#.........OO..O..#..O.....O..O...O#.....O....#
+#..#O#O#...#....O...OOOO..O.....#O.......O.......#
+#..........O...O.....#OOOO#O..#..O..#O.........O.#
+##..O.OO.O......#...#OOO.OO..O.O.O.OO#.#OO..O.OO.#
+#....O.O..OO.O.OOO..OO...O...O..O.O.O....O...O...#
+#O..#OO.........O#......OOO....O.....O.OO.#.O.##.#
+#.O.OOO.....O....O...#O.O.O.#.O.O..........O...OO#
+#.OO.OO...O...O..#........O.O...O.O...#OO.O....O.#
+#OO...O.OO.#O.....OOO.#O#.O.#......OO.....OO#..O.#
+#..O......O.....#...#O.....O.....OOO.....O.#OO...#
+#.....#O..O..#...OOO.#O.O..O.O#...#OO.O......O..##
+#..OO.OOO#.O.....OO..#.OO......OO.O....O...O.....#
+#.O.OO..............#..O.....O.O...OO.....#.O#...#
+#......OO.....OOO.O..O#OO...OO..O#..O..O.OO......#
+#.#O....O....O..#O..O..O@..#..#...#......O.......#
+#.#..O.O.OO...O.O#....O..#..O...OOOOO...#.OOO#...#
+##O..O.O....#O....OO#O.#O......O.....O..O...#O...#
+#...O...........O.#O..O.#...#.O.O.O...........#.##
+#O#O.......O..O.....OO.#O.O.#OOOO#.O.O.O.O.......#
+##O.O..OO...#.O..#.O.O..OOO.O.O#.....O.O..#.O.O.O#
+#..OO...O..#O.O.#.OOO.....OO........#..OO.#...O.##
+#O.#.#..#.O.O...O..O.#O..O.O.OO......O.OO.O...O.##
+#.O.OO...OO.........#....O.OO.OO..O#O.#O........##
+#.......O.......OO#...#....#.OOO#.#........#.O...#
+#...O.O.#.O.O.........OOO.O.O...O....O....#...O#.#
+#....O.O.......#.......#..O##.O.O.....O...O.O...O#
+#.O.O.O..O#.O.O...##O#O...O.....#OO#O.O....O..O..#
+#O.O.O.#..O...O.O.......#.OO..#..........O...O.O.#
+#...O...O.....O....##......#..OO....##.O..OO.....#
+#..OO..O..O..OOO.....#O..OO.O.OOOO.#.O...O.#.....#
+#...O...O.O.O...O.#O.#.O...O#.#......O..OO..O.##O#
+#...O.O#......OO.#.O.....OO..O.......#...#.O...#.#
+##OO..#O.....OO..............#...O#..O#......OOO.#
+##OOOO..O.#..O.O....O....O..O#.O#....O....O.O....#
+#.....#......O...OOO.O........O....#O.OO.....OO.O#
+#O.#....OO#....OO.O....#O#........#.#.OO.#.O...OO#
+#.O.....O.OO.....OO...#O..OOO.O...OO....O.O##O...#
+##O..OO.OO..#..O.O.O.##O......O..#....OOO....OO..#
+#O..O....O.........OO#.#......OO...##.O.......O..#
+##################################################
+
+>v><^>^v^v^^v><><>^><>>v<><<^<><>>v<^><^>><<<^v<>v>^<v>>><<<<^^<<^v>vv><>>v^<^>^^^^>v<<^<<>v<^^>v^v>>^v^v<<vv>^v^>v^v^^^>>vv<<><^^v<v^v<<<v^<v><<^>>^v<>vv^v<v<vv><<^^vvv<<^^v>^vv>v<v>>v>^v<^<^>^>><>><^>><>^>>v<vv<v^^<>^vv><v^<><>^vv^<<^>><<<>v^>^vv<v<^^^^^^<><v<<^vv^><>^<vv^<>v<>v<v<^<><<>^<v>v><<>^<<<^>vv<<^v^<<v>v<<v^v<v>v>v^<>^v<<v^><^>v^<>vv<v^^>>>>^v<v^><<vv^><v<>v^<^>^>v>>>>^^<<^<<<^^>>^><<v^>>^^^vv>^<<vvv<>v^<v^vv>vvv^<^>v>^<>>vv^^^><v>v<<vv<^<^vv>>>^v>>^>>^^^v<>^vv<<^<>vv>^<vv^>^<>v<^<<^>><>v><>vv<^v^>^v>>><<>^^<<<^><<^^^^>vv^^v^><<v^^v^v>v>^<^^<>v^><v^>^<>^<>>^<><^^<>><>^^^^v^v<<><^><^^v>v>>>>^^^>^^>^>vvv<>^>>v><vv<>^v>>^>^^v^v>^>^v^^>^<<<>v>vv<<<>><^><>><v^<><>>><>>>>>^<v><<>><>^><v><<>>^><^v><v>^<v>>v<vv>>>>vv^^^v^v<<<vv>^>vv^v^^^v><v^<>v<^^<^^>^<v^^<<>>v<^v^<v>^>^<<^<>^>v^^<vv<>^><>>vv^>v<vv><>>^v<<>^^>vvv>v^v<>^<^v^>>v>v^^<^>v>^^^<><>^^v^^>vv>^>v>^v<><<><<><>v>v><^>v^<>v<><^><><<>>>>^v^>><^><<>><>><vv^v>vv^^<<>>>>^v<^vv>>v>v<>^>^v^^<>>^>>v>v>^^><^<^^<^^><v^^<v<<^^<^<>^^v<<
+v<<<v><>vv^v<>vv<>>>><v^^v>^<<><^<^v<>>^^<^^<>>>><^v<^>^^^v^^<>>v>^>>vvvv^<>>>^<><<><><>^^<<><v<>v<<>^v<^v>>^<^v<v<v>>^^<<vv<><<^^^>v<<v><^^<><<<v<^vv^>>v<vv><vv>>v>><^v>>v<>>v<vv<v>>^<^^<>>^<v^>^><^>v><^<<^<^^<<>^<<v^^v^<^<v^><<<v>>^v><<v^^^vv<>>^^^v^>^^^^^>><><<<<^^^^<v^v><<<<v^>>^v>v^>>^>>^<v^<v><>^<<^v<^<>^^><v<>><<<^><vv^>^><vv<^>v<<<^<<<>v<^>>v^>v>>^<^^^v^>>v^<v<><>>^>>v^vv<v^v>><<<v<^^<vv>vvv>>>v^v<<>^^v>^>^<>vv^^<^<<>>^^>^v^>v^v^v><><^v<>>vvv<^>^>v^^<^>^^>v^^^v^v^><>v<><^^<>>^vv^>^^^<^<v<<>^<>vv<><^<>>^>^^>^>vv><v^>v>vv>^v^^v>v>^>^^^^^<<<v>vv>>^vv^v<<><^vv>>>><v<>^vv^<>^>^vv<vv>v^^v><v>v<<v<^^vvv>>^^v<<v>>v><>^v>^v<>^<v>>v<<<^<^<<v^v<><>v^<<>v>>^vv>v^vv<vv^^<><^^^^<^^>v><^<>>v>v>><<<v<<^^^<<>v>>><v<v^vv<v<v<<<^<>^^>^><v><^v><<vv>^^v^v<v>>v^>v>v<<^<^<><vv<<<^<<^^^<>>v<^^v^<<>^>^v<vv<<>>v>>v^v<^vv^>v^v<v>>>^v>>^<<^^<v^v^^<^>^^^v<v>^<^v<><vv^^v<<v>>v>v^>v^^<<<<^^<>^vvv<v<vvv^v><v<>^>^<^v><<^v<^<^>^v>^<<<<^>v^v^<vv<>>v<v^v^<v>>^<v^v^^v^>v<<<^>v<^<v<>>vvvv<<^v<>^^^>v<^vvvvv>><^^>>>^
+>>v<<^><>vv^v>vv<<><>><<vv<^<^^v^<<<>v^^v<^<^><v^><<>vv^>^vvv<^<v<v<>>^<><<<^v^><v>^v<v^^>><v<<>v<<<<>v<>^>v<v<<<v>>^>>><^vvv<^<>>^<^<vv<vvv^^<^^v<^<v>^>vv>v<<<>^>>v>>><^<^<^<<>>^v<>>>v>>^<^v>v>v^^><><^<<>v<>vv>^<<<^>><>v^^v<^vv^^vv<>v><^^v^<^<<^vv<<v>>v><<<v<vvv>^^>^<<>^^^^^v<^>^>^^^^^<^>v^<^^^v^^vv^v^<vvvv<vv<vvv^<vvv^v<>^^^<>v^<>>^<vv>>vvvv^<v^><^^>v^^>v^^<v>>>v>^^^<v^<v^^>>^^v^<^>^vv<>><><<<<>>><<<><v^>^<>^<>>>>v><vv><<<v<<^>>^^>><<^^v>>^>v>v^^<<>^<v>^vv^^<>vvv>v<^v^<^^^v><vv<>^<<<>^v^>^^>>v^vv<vv>vv>vv>v<>>v<<^^v>^<^v><^v<<<>^^v^<<^^>^><>^>^^<^>v^vv<<^><>vvv<^<^<<<vv^v>v^><<v><v>>^v^><>^>vv><<>^<^>>^<<<<<^v<v<^^v^^^v>vv>^v^<<>v>vv^>^><vv^v^><v^>><>^vvv>>^<^>^>^><<>>vvvvvvv>^v^<<<v<^v<v^v^><<^v>v^<v<<v><v<<<<><^^v><<<<><v<><^<^>^v^>v<>>v<^>^^>v>>^>>^<^^^>^^>>><vv^<>^<>>><^<>^>>v>>vv>v<vv^>v<><<^>v<><>^<><v<<>^><>^>>^vv>v<v>^><v>v>>^v<<>^>v>>^><><^<><<<>v^<^^^v^^>v<><<vv^<^^>v^v>>>>>v<<>>^>v<>vv>v>>v>>v<v>^<^><v^><>v><^^<<<^<<^v<^v^^^<<v^>>^<v>^^v>v^>>>>v>^v<^<<<v><<>v^<<>v<>vvvv>v^
+><v^^^<vv^<v><><^^vv>vv><v^>>^v^>^v<^^^<v><>vv>^v>^vvvv>v^>v<v<v<v<>vv^^v^v^v<v>^v>^><^>v^^<>><^vvv<v^^>>v<<^^<>><<v^v<<<<<^<<<>^^^>v^v^>>^<>vvv>^<>><<<v>v^v^v>^^<^v^>>>^^>>><>^>^vv><<^^^>vvv^^>>^^<<^v<<v>>vv^^<vvv<vv<<<<>>><<v^v>^><>^^>v^^><^^<v<<^^<^^^^v^<<>>><v<vvv<<>^v>>v>v<v^v<vv<><>^><v<v^<^^>v^<v<^>>vv^v^>^>>>^>>^<vvvv<<v>^v<<vvv>^v<<vvv<<<<>vv>v>>^><>^^>^^>v<^<v<>v>>v<>v<<vvv<>><><^>^vv><v^v>>>^^<^^><<><<v^^^>><><<>>v<v<^>>>>>>>^<>^<^<<v^v^^vvv^v>v>^v<^<<>><v<v^>vv^<v<>><<^<><v^^vvv<<vv>><<^v<>v<^^>>>v^vv>>>><<<^v>^^vv^<>^>^^^><>v^<>v^>v<v^v>>>^<v^^v^>^>^^^v<v^<><>>v^^>>>v<vv<v>v>>v^v>^vv<v^<>><><<v<v^>>v^>^>>^<><>v>>^<<<>>vv<>>>vv<v<<v^v>v<<<^<^^>v>^v>v<<^vv<^^v<><v^>^v<<v<^v^>>^<>v>v>><v<>vv>^^v>^^v<><<<^>>^<v>><^>^^^<^<<v<^^<><vv^<>v>^v<<<^<v<vv>>>v<<<v^<><^<><^<v^vv<v>v<>^><^^v><^v><>>^>v<<>>^>^v<>>^v>>v>v<<^<<>><<vv<>><<>>^>^<<><<><vv>^vv>^>v<^>v^^>v>>>>v<^>v>^v>>>v>vvvvvv<v^<v<^<^><vvv><>>><v>v<<<^^^^><^v>>vv>>^v>v<^>^^>v<><<^vv^vv>v^<v>v>v<v><v<^<v>^v><><<>^^>>vv<v>><<>>
+^v><>v^^<^>>>vv^>^^>^v>^^<v<v<>^<<^>^>vvv>><^v<^^><>^v>>^^>v<<^>><<>^<v>^><<>vv<^>>^<>v<vv^v>^>vvvv>v<>^<<^^<v<vv<^^v^v^^^<>^<^<v<>>v<>>^<<v<^vv^>^v^^>>^^^^<<^vvv<><<^>>><v<<v>^<^<>^<v^><<v^^^vv<<v^<vv>v<<><^^>>><^><<^^v><<^^>><>>^vv<v^v>^v<>v^v^<<<v^>^><<<^v>^>^^>^^>^vv<^vv^>><^^^<<<<v<v>^v^vv^<>><>^<vv<^^<v^^v^^<>v^v^^vvv^>>^^>vv>>><><<<<^v>>>^v<v<v<vvv<v^><<>>>>>><^^<^<^<v<v<vv^<v><v^^><v<^<<^^>>>>^^<><<^><><vv<^>v^v<<><<v>><><v><v><^><v<vvv>^v^^^^^<v<<>^<<^<^<>^><v<v>v><><vv>v^<v>><>v^^<>^^<v>^<^v<>>^^v^<v^<v>v^^^v<<<v^v^>v>v>v><v<<><v^<<<<<<vv>>^v^>^<v>>^^<v>>^<^<><>v><v>v>^<<v<v<v^<>><>>^^^<^v^<v<><v<v<^v<^vv>v>>^vv^><v<>^^>v^^>^>vvv<^v>^^>^<><>^<>v<<>><^<<<^v>^v^<vvv<><>>v^>^v<<<>v<><>><<vv^<>^<<<^^v>>^>v^<v^><^^vv>v<<>v^>vv^<><<^>v><>>^><^^^<v>>^>>v<^><<vvv^^<^>^^<v>vvv<<^v><v^^><^<<>v>v><<v^<>^<^v>>^^<<<>^>v>v^^^^<^<<<>vv<^vvv^^v<v>^><<<><^>vv^><v^>>>v<<>v>vv^^^><^<vv>>^><>^^>>v<v<>v<>>^>^>^<<v<<>v<v<^^v^<<v<><^v^^>>v^^><v><>^<^>>v><^<<<v>>^vv^<>>>^^><v^><<><v^<>>^vv^v^>^^v<^>
+^^^v^>vv^<<>^<^>>>^<<^vvv^>>>>><vv<>^<><vvvvv>v>v<<>^v<^v<v<v>^<v<<^><<^<^vv<<^v<>v<^<v>>>^v>><v<^^>v><^<v>^><<v<v<<<<^^>vvvvv^v>^^vv<<>^^v>v>vv><<<^^^^>^>vv>>v>>^vv<^<<><>v><v^^v<v^^>v><>^<>v^>vv<v^>v^>v>>v<v^>>vvv>v<><^vv<<vv>^>^<v^v^>v^><^<^>^<v^vvv>v<<^^>>v^>vvvvv<^^^><v^^>^<<v<v^>v<<<^^<<>v>v<<>^<^<v><v^<<^>><>^v<<^v<>^<<v>v>^<<>v<v^vv^>^>^^<v<<^<^^<<<v^>^>^v<^vv>v<<^v<>v<^vv<^^>>><^^^^<>><<^v<^<^<>>v<v<v<<>^^v^v^^v^<^^^>vv>>>^vvv<^>>^v><>v<^^v<><>v^^><^<^v<<>>^^<>^>^>v>><<v><><<<v<>v<v<>vv^vv^v<<<^^v^vv>^>^<^<>^>v>>><v<^^<v<<<^<<v>^<<^^v<^<<^^>vv<^^^^>>^^>^v><><^v<v^^^v<><>>v<<>^>^^v<^v^^>^<v^v<<<>^>>>v>^<<vv^><>^^><<^<>^>^^><<^<>^>^v>^^<^<>>^^v^v>v^>v^<^v^>v>v^^<^><v<vv^>^^>><<^v>^<<^^<^^<<^^>vv^>>^^v<>><<v^v<<<>^<>><^v^^^<<^vvv><^>>^>^>>v>^<><^<<^v>^<vvvv<>>^^^vv<^^v^<v^>>v>^^^>^>^v^<>v>>vv<^><>v><vv<<v<^^vv>^^><<><<v<^^^>>>vv><vv^^v<>>vv>^>>>^<<<>v^v>^vv^<<>>v<>v^<<v>>v^>>v<<^>^vv<>v^v^<v<^<vv>>><<v>v>^v>^v>^><^^v>>vv<>v^^v>><>>^^<^v^>^<vv>v><>^v<^^>v^^<>v^^v^>>^^>^<<<<^^>><^^
+<^<><<v^>>^<v^^<><><<>><^v<^<^<><v>>v<^^<<>><<>><v^>vv<vv^<>v^>v^v><^v^>>>^<^^><^<>><^>v^<v<<>v>^<v>v<^>^^<v><^<^^vv^>^^v<<>><<>>v^<>vv<<>^v><^<^^v<v<<<v<v>^^<><v^v^<<v^vv<v>v>v><^v>>^>^^>vv>>^v<<^^^^>^<<>>^>>^>^v^>^v<<^<>^v<<<^>><<v^<v<^v<><<>^v^>v>^^v>^^v>>v^>><<<^<^^>><^<><^v<^v<<v<>^v^v^>>v^^^<^<v<><vv>>v^<vvvv^v^v<v^>^<vv>><>v<<v<vv^^>>^>^vv^^v>><<>^^<^^v><>v^^v^>v<^^>>^<v>^vv^^^^^^vvv<>^v<^^><<<><<<^>v^>>^vv><>v><>vv^^^v><v^v^^>>>vvv>v><<<^<^^<^>^>v^<v^^v^v><v^v<>v^vv><v><<vvvv>>v>^^vv><v^<v<>^^v>><v<^^>^^v^v^vv^v>^v>^<v<>><><>^^<^<>>>><^>^v^^<><>v>^<^><><^<<vv^^vv<>^<v>>>vv<^<<^>><<^^^^>>v<v<<^>^v<^>v<<<v<v^<<v><<<<^v<<>v<^<^<^v<><<><^v<^^v><>v^^<>>>v^^v^>>>v^vvv>vv<^^^^><<^>v>>>^<v>v<v^v<<v>v<v^^>>>v^v>^v^<v^^v<^<<^>>^<><v><<^<^><^^^>vv^<v<v<><^v<>v>>^v<>^^^vv^^<<^^<<vv>^^^>v>>v>>v^><><>>^>vv^<v<<>><>vvvv<v<<^vv<<v<>v^v^^>>v<>v<<v^><^<^v<<<v^v<<^v<v^>v<<<^v>>>v^<<<<<<>v>^^>><^>>^<^><^>^<<<v^<<<>>^<>>>>vv>v<>^^v>>^v<^^<>v^v>^<v>^<<>^v^v^v^<<<^vv^^<><vv>vv^v^<><v<v>^<>^v><^^v<<vv
+v^<v<v<<^><><<v^>v<<v^<v<>^^>>v^>^v><<v^<v><<vv>><>^v^v><<v<^><^><<<><<^<^^>v><^v<v<v><v^^v^><^><>v<^>^v<v^><<^vv>>v<<v<^v><v^v^v><>v<v><v>>>^v>v^^^><^<v^v<vvvv<v^<v<v<><^^<v<<<^v<vv>>v^<<<^^>vv^vvv<<<<vvvv<<^>^<v<^<>^>>v<<v>vvvv>v>>^>>v<>v^vvv<><^^^>^<^>v^<<^<^v<<<vvv<^vvvvvv^<>v^^>^<^<<>^<v<^>^<^<^<<^v><v>vv<v>v^><^vv><^<<>vv^<>^>^v<<>>^v^<^^<><>^v<^><v<<vv<^><<><<v^><v<>><^v^v^v<<^>^v<>>^vv>^>>v^^vv>>>v^^^>vv>^<<<<>><>>^<<>^^^<<>>v^><^^>v^>^><^v<^^><^^^v^^v^<v<<^<<<<>>>><<<^<v^^>><>^^<^v<>^^^<><>vv>>^<><>>^v>v>>v^v^^^v>><><>><>>^><v^>^v><<v>>v^v^v<v><>v<vvvv^v<><v^>v>v>>>v<<<<>><><v><<v<>v<>v^<^^v^<^<>v^><<^>vv>>v<v>>>>^<>^^v>>^^^<>^<^v^>^v^>v><vv<><^^v>><><>>v^<<vv^>^><><^<vv^>^^<>^>v^^^v<vv><^v^>^v>>v>^vv^^><v>^^>>vv<^v^>^<>>>>>><>><>v>v><<v<<v>><><<^<v^^^^<^v>v^>v<>^<>vv<>v<<><v><^>v^><^>v^><<<>^><><^<^^^v^<<>^^<vv>>><^vv>>^v>><>v<v>^^v>v<^^><^<^>v<v^^vv>^<v<v<v<v^<^><v^<><><><>>><^^vvvvv^>>^^^<<>><>>v>>v>^^<<^^v>^^^v^v>><>>^<v>>^v^v><^>v><vv^^<vv>^v>v^<^^<>>^<<><>>>>>vvv>^><<^^v
+^><v<^<v^>v>^v<^^v^<><^<vv<>v>v^>vv^<v<<<^<v<<>^>>>v>vv^v><<><<v>>>^>><^>^<><>vv^^^>^<<^^>^^v<<v<^vv><v^vv<<v>^^^v>><v<^v>^<><^>^^vv>><>v>v^>><^^^>v>>>>v^>^>^^<^<^>>>>^v>v^>^<>v<<vv><<^<v^<^v>^v>^<v>v^><^>^v^<v>vvvv^<<v><<v<<<<v<^vv<vv>^v><>^^v>>^vv<v<v>><v<>>^^^v>>v<^>^><^vvv><<<^^^v^v<>v>>^>>>v^>>>^^>vv>>v^<<><<<<<v><^^^><><<><<v>vv<>>>^><vv^<><v<<^^^v>^v^v^>vv<>>v>^><^^^<vvv>^<v<<vvv><<<<<vv<<^><<v<v>^<^^v<^>^<>>^v>vv>>vv>v><<<<<>v<<v<^<<<^v<<v<>^<<v>^v^^>v<v>>>v<^^><>>^<^v<>^><>^^><<>v<vv>v>><^>v>>v<>>v^<v^>vvv^^^vvv<>^>>^v>v^<<v><v^^<^>vv><>v<>^>^<<><vv>^<<>^^>v><>^>><^><^><<v^^><vv>vvvvv<v>^<><vvv><vv<vv^v>^<v<v>>^vv<<v<><>>>><>^><v<v>^v><<^^^^<v>v^v^<v<<><v<>>><<>><v>^^^<><^v^^^^^v<^vv>vv<<^>>>>^v<^<v<>vvv>>v>>v^v>^<^v^vv<>^v^<<^<^>^<^<^^^^<^><^>>^vv>vv>^<v><<^v^^^^^<v>v>>v^>^<v>v<<v<>v><>v^^>v^<<^^>^><v^><>^>^v>v<<<<><<<vvv<><><<>^v<<<^>>v<<>^v>^<^^>>v^>^>vv<<><<^^v^vv>^^>v^^><v<^<<<^v>><<v^><^<<<v><<<<><v>><<v<>^><^><v>>vv^^<v<^><>v^^<>^vv>^v>^^v^^^^^<>^<>>>v<v<^><<<^>>v^<<<^<
+>^^<v>^^>vvv^^<^<<>>vv<^<<<^<vv><>^^<^^^<^^vvv<^v<>>v>^><v^>^^^v<<<^v>>^v>vv<^v^v<v><^>vv<>vvv^vvv<>^<<v><>>>^>v^>><^^^^v<v<<v>vvv>v^v>vvvv><v<^v<v<<<^v><<^^^<>v>^v^v^<>v^>v<<<><^^^<v>vv>^>^v>v><<v<>^^v<vv>v<><>v<vv<vvv>>>^<<^vv<<><<v^<vvv>v<<>vv^<^>^v^>^v<v^v>v>>vv^<v<v<<<^>>vv<<^<v>^<>v^>^>^^>v>v^<v<v^^<v<v>>v^>^v><^^><<^<^^<^^<^v><v<^>^>v>>^<<><>>v>v<^<^<v<^>>^v<^^<<<>^^v<^>>^v<>><^<<^<<<<>>>>v^^^^<>^>v<v>^>>>vv^v>v<><>v><vvv^>^v>><vvv^<<v^v>^vv^<<^v>>^<v<>>^v<><^v<v>><^><<^<^>v^>^^^v>^<^>^>^^><<>^><^>^^>v<>><v<<^<>>>>>v>><>^<^^^^<>>v<><>>><^<<>v^^<<vv>^^><<>><>^<>^^^<vvv^<v^^^^^>>^^<vv<<<v<<^v^<<v^><v>^^^><>v<^>>>^>>v<><v>v>>>v<>v<><vv^^><^<>^<><vv>vv>>vvv^v<>vv>><^>v<v>v<><><v<<v<vv^<>>v>>^v><<^>><^>>^<>><><<>v^<^>v<^^v>><<><>v^v<>>vv>>><vv<v^^<v^^>v^^vv>><^vvv^vv>>vv^^><<^^<v>v<^<<<<v^<<^<vv<^v^v>v^^^v<v>v><<<^>>v>><v>>vv<>>>>>^<<>v>v^>vv^>^^>>v<<v<^<><^>v>^vv><>^vv^<^>v>>vv<<vv>vvv>v^v<^^>^v>>^<><^v<^>^vv^^vvv>v<v>>v>^>>>^^<>vv><^v<vv>^><^><<<^^>v<<<><<v>^v<vv<vvv>^^<v<>v><<^<^<
+<v><<^vv>v<<>vv<v<<v^<>>>>^^^v^<^vv^><^<><v^<><^v^>^<^^<v><v>^>^v<>^<<><<^^<v<v<>^<>>>><<>>vvv^<v>^<v>vvv^^>><v<<^^>>^<v>^>^^<v>^>^<<<>^vv>^<<<^>^v<^v<v<>v^>^<<>^^v^v<<>>><^^>v>v<^^>>^><<v^><<>v^>^vv^>^>>>^<v<<^>><^vv<><^^<<>>v<><<v>vv>^v>v<vv>><<>><^<^<^^v<<^v<^>^><v^>v>>^><^^^^v<><v<^v<<><^>v<^vv<<>v>>>>^^<^^><>v^^<<^>^^^^>^>>><v<>v^>v^<>v^v^vv<<>v^<<><^<^<^>>>^<v^v>^v^>>>^^>^v><>vv<vv^<<v<vv><<<^v<vvv^<^^^vv<<v<v<>v^^v<>vv>v>v<>><^v>>v^<>v>>vv<^<>v^^<<^<>^<><<>vv>^>v>>^<<>v>v^v<>^>vv^<<vv<<^>>^vv^v<vvvv^v>^vvv<<v>><>^^v^<<^<v^v>v^<>^<>>vv>>>^^>><>v<^v^v^^<^>^>^v>>><<^^v><v>^v<v^>v>^vv<>^<<v<<<^vv^<^v<vvv>v^>><^><^^<v<>^v<v><vvv>vv<^>v^>>^v<<<^>>>v<^vv<^<v^>>><v^^v^<<v<^v>vv>v>v^^>^<<^><><v<>>v<v<^<>>^v<^^<>>^>^<v<v<^vvv^^<<v<^^^<v<>>>^^^<v<>v>^^v><<^<>><<>>vv>v<>^^><<^v>><<vv><v>^^>v<>>^v>vvv>>v<^<v>v^v^vvv^^vv<^>>v>^v^<<<v<>v<>^^vv^<<^^><<v>^v<^v<^>vv<vv>^<>v^>^v<<^<^>v<^<^v^><<>vvv><v><vv><v><v^v<^><>^^<v<<><v<<>^<>^<<^v^^>v<v>><^vvv^>>vvv^^^>>>^<<vv^><vvv><<^<>vv>vv>v<>>vvv<><><<
+^<><v^<vv^vv^vv^<v>^vv<>vvv<^<vv<<><^<vv^<<><>v^v^^vv^v>>v^v><<^^>v<><<^<>vv^<<^vvv>v^<^>^<^>^^><^vv>v^>v<>^vv^<^><v^^v<^^>v<>>v<^^><<>>><vv>v^^^v<<>v<<<v^v^^>v><<vvv>^<<^<<^>^v<v><v^v<>v^^v^v<><<<^<<^vv^v^<<<^vv>^<^<vv<v><<v<vv>v<<<v>>><v^<><^>v>^^^v<<<>>><^>v<v<<<^<<^^^>^^^<v>>>v^^<^v^^><>^<v^>v>v<^vvv^><>><^^^v><^<v>><>>v<^v^^<>>vv<<<>>>^^^^>>^^^>v>^><<>v>v<><^v^vvvvv><>vvv>^v><v>v>vvv>>vv<^<v>v>v^^v^>>^<<vvvv<vvv>>v<^<<<>v<><>^^v^<v<v<>>v<<<>>^v>^^<^>>v<^v^>v>^>>^vv><v>vvv<^>^^vv^^<>vv<><<v>^vv^>v><>v>^>v^<v<<v^<^v^v^vv^>^v>^v<^vv<>v^><^^><<^>^vv<vv><>vv<<<<<^vvv>^>^<vv^<><^v>vv><^>vvv>vvv>^vv^<^<><^^^<<<<vv>^<<<<<v^>>^<^<>>^<>>>v<<^^>vvv^^<<<><<<><>v^vv^<<vv^>>v><><<^<<^^<<^^>><v^>^v^vv<>>vvv^vvv<^<v><v>>v<<>>^v><v^v<><>><>v>^^>>>><<<>v<<>v^v>vv>><v<>^^^<>^^v<<^>>v<vv><v<v^v<^<>>vv>v<v<v<><>>v^v>^<^^^v<v^<vv<>^v>^>>>^^^<^>vv^>^^<>><^<>><>^><<^^^v<^^<<v<>^^<v^v<v<>^v<v<v>v^<<^>^<v>^><v^vv<<v>v><v<v>^<v<<^^^^v<^<^<vv<><v<><<vv><^^^<<>>vvv><^>>v<>vvv<v>v><<v^^^>^>^<<<v^>><v^>^<^^<v^>
+vv^<^^v>^<<^v>vvv<v<v^v^><<<v>^>^vvv>v>>>^<>^vvvvvvvv^<<>^>><v^^>v><v<>v^v><>>>>v><vv>^v<><vvv^vv^><>vv><<>>>v<v<<>vv>^v^>>^vv>vv^><^<><v^^v<v>v>^^>v>>>>v>v>^v^<>v>>v^><>>^<<>v><^^v>^^^vv^<^>^>>v^<^v>^v><>^<^^^^<>vv^^v^^^>^^><vv^^vv>^vv^<>>^<<>^v<v<<^vv<<>^^<^><>v<>^^v^^>vv<<v<>^<v>^<^^<>^><vv<><<>vv^^v^><>vv<<^^>>v>vv>^vv<v<<v<v>>^<^^<v^<^>^><>v>v>v>>>^v<>^^<^>v<v>>^v>>^v>>^^^v>^vvv^^v<>^<>^<^v<^<v>vv^<^<<^v><^vv><^^>vvvv<<<<>^>^>>^v>>><>><<v^^vv^^vv^<><>^>v^>^<^><<v^v<<^>><vv<><v>v^<vv^><^^^>v^><^^^<v<v>v^<>><<v>^<<^>v^<v^>^>>^vvv>>>v^v^<v>^<v<><<<>^v^^<v^vvv^^^>vv^v<^<v>v<vv^>^<<^^v^v^<v>vv><<>>v^<<vv>>>v^<>v^<>v<v<>^<>^v<>>^>>^<^v^>v^>^v<^^v<<v>>><>v>v<v^v>^^v^<^v^<>^^>>>v><>v<<<<^v>v>>^^<^>^<^<v<^<^>>^^>^<>v^><<^^v^<vv^><><><<^v<>v<><><vv^<>>^><>>vvv^<^^^^>^v<>v<^v<v><v><>><^<<<><>^^<>>^vv>>>v><^<^>><v^^>v><<><^><v<^v><>vv^v^^^^<^v<v>>^>>vv>v>>^^v<vvv^>^>v^>^<>v^vvv^^^<^vv^v^v>>vv^><^<^>>vv<^<vvv^>v^<<v><v<>^^vvvv>v>^^v^>>vv^^^<^>v<<<>^>v<>v^vv^><v^^>vv<>v>v^v>><^<><>v>>v>>^><v<^<
+v<vvvv<^>>v^v^>^<>>><v><><>v<^^v>v<>vv>^<><>^^v><<^v<>^<^>>^<>><<v>v^<>v>^<v>v<v<v<<>^<^v>>v<>^^<^<<^v<<>vv>v<<^<v>^v><v^^v>^^<^>>>v^<v^^v<^v<<v>v<v^<^^v<vvv>^><>v>^<v<<>^<vvv<vvvv^>^v>vv^^^><^>v>v<<^vv^<^^>^^vv^v<<^<<>>^>^v^v<v><><^v>v^v^<<^<v>^^<>^<^>^><><<>^>^^v^v<<><>v<>v^v>v<^<>^vv^^^vvv<v^>>>vvv>>v^>>>^^<^^><<>^v<>>^<^v^<><><vv^>^>^<^^>v>>^^v^vv^>>vv^^v><<v>><v<<<<>v<<<>>v<v^^v^^^^v>^vv>><>^>>>>><v<>>v<v^<vv<v>><<<^v>>>vv>v^<^<<^<v^>v^<>^^^<>>v<v<v<><>v>v<><>v<<v><^<>v^><>^vv<v^^<<<>^>>vv^^>^^<^<><vv<><^^><v<^v<>^>>><>^><vvv><^<<v^<>v^v<><<<^^>><<><v^<^vvv^v>><^^^><v^vvv>^v><^<<v^>^>v<v>>vv>^<^vv<<>v^<v>>^^^>^<<<^<v^>^^v<vvv^^>^<<^>><><v^vvv><><^^<<^<>^<>^v^v<<>^>^>>vv<v>>v>>v<vv<vv<v<^<v^v<<<^^>^v<<><>v^>vv<<vv^^^<>><v>^v>v<<vv<<^v^<^^^vv><vv^^^^^^vv<<>^v^vv>>><>^<>><<>>v>v^>>v>>v<<>v>^^v^^^<^v^^v>v>^>>v>><<v><^>><^<^>^>^<v^v^<<^>^v^<>^>v<>>^<>vv>v^<v<<vv><<v^v<<><<><vv><^>>v^><^v>^><<^>>><>>^<v><v^>v>v>>>>>vv<vvv<<>v>^^>v^^>v<v>^<^^<^>>^^>v><<v<<>^><^^><v>^^>>v<><^>v<v<><<>^v>v
+>vv>>>>v><<^v>^^vvvvv><^v<>^<<>^^<^vv^>^<^^<>^vv<<^<v>^v<^<><<v><<^<v<<<v<<vv^v<v^>^v<>><<^<<><<<>^vv<v><v<>^<^><>vv>v^v<v><^v<vv>^>^^^v>^^<<^v>v>^<<^^^v<v>v^<<^<<<>>>^>^v><<>v>^<^<<^vv>><<^<^^><<>^v<^^><vv^>><v><<v^v<<<><v>^<^<vv^>v<>>^vvv^^v>^v^^v>^>^^^^<>><vv>vv>>>vv<<^vv<>>><v><<^^<><<<>>^^^v>^v>v<^<^v^^<<^<^vv<<<<<<vv<^>v^vv^>v>v^<^^<vv<>^><v^^^v^>^><<^<^>^<<^<<>><v>^<^>^^><^v^^^^v>>v<>^^<><^<^^><>vv>>><vv<^<>^v>>vv>^^><vvv>v<>^>>>>>><<<^<>>^<^>^<^<v>v^v^^v^^^>>^<<>v>>v>>>v^<<v^><v>^>v>v>^>vvv<<<>v<^<>v<>>>^<v><<^<v><v>>vv>>><^v^<<<<<^v<^^vv>^vvv<^v>v^^<^^v>>^<<<>^>>^^>^>>>>^v>v^<^^><>v<<<<^<v>v>^>^>>v><<^^^>v>><vv>^><>>^vv^^^<^<>v^^<>^v>^<>>^^v^>^^^v<><v^>>^><<>^^>>v<>>^<>vvvv>>>^vvv>^vv><><>v^v<v<^vv^v<>>v>>vv><<<>vv<^v>v>^v><v^<<^^^^v<^<>^<><v>^>v<<^v^<v<^<vv>v^^v>^<<<>^v<v<^v^<v^<^^v^^>>v>v>v>^^v<<v>^v>v^>^<v>>^^<>^>^><^<><>^>v>^>><^^^vv^<><<<<^>>>><^^^>vv><^<>>><<v><^v>v<<^v^vv>><>v<><^v>v^v>><v<^^^^>^>v>v<>^^<>vv>>v><<>v>><^<^v<<^>vvvv<<v<<^^<v<^^<>>^v<>^^v<>^^>v<<<>>^^>vvv<
+>^v^v^>>vv><<^<>v>v^v^><<<>v<<^v<v<>v^^<^>^>^vv<<>v^>>^>v<^>^v>^<>v>v^><v><>>^<v<^>>v^<v^v^^^^v<<^>>>^>>><>v^v^>^>>vv^<^>v<>>v^^>>^><<<<^>>v><<<vvv>><^v^^><>v>vv^>v<<<<^^>>>><^>^>>>>^v<<><^^v^<v><^>>>>^>>v><^<><>>>>v><v>v>>>>v^^<v>>^v<<v<<>>^<v^<>>>^<<>>v>^><>v^^>^<<><^<>>>>v<vv^^v^v>^v^v>^><^<^v^v<^v^^>^^>><v><^>^>^>>^^>>^<>vv>><>v><^>>v<<^><<^<^>v^<v>vv>v^v^^>^>>v><^<>v^><>>>^^v>v^^>>>^v<><<<<<^v^><^>>^^vv^>><^<v>v><<v^><^>^>v<^^v^vv<<^>^<>^<v><v>v^vv^<>v<vv^vv>v>^><v>>vv>>^^>^<v<<v<<^^vvv<v<v<<<<<v>^^<>^v^><v>vv>^^^v^<<>^><v<<<<>^><vv^vvv^<<^vv><v^^<<<^<>><v<<^>vv>^^>v<<v>vvvv^<<<<<v>^^>^<>v><^<>v^>^<<>v^>><>>>^^<v>^<>v^>>>^^>><^<v><^<<>^<<<v>v^><<^v<v<><v^<^<><v^^<v^vv^>v^<v<v^><><<vv<>^v<<<^vv<>v^>^^v>><<<v<><vv><<v>^<v^^<>^<>vv<<v<<<><v><<v^^<v^><>^^^^v^vv^<>v>>>>v<>>><v>v>v>^>v^v>vvv^<<<>^^v>vv<v<v<><<>>^<>v<vv>>>^<<>^<v^>><v<v^vv>^^<<^v^v<<<<<<^>^^<<>v<<><<<^v><<<v^<^<v^><v<>>><>^><^<><vvv^v>v<^v><v>>vv<<>v^v<<^<^>^>^v<v<<v<v>><v^<^<^v>v<<<>^>^<>^<v^<v^v^v>^^^v^vv^v>^>vv><^<<>>
+^v><>v<^^^<>>>><>>>^v<vv<<^^<><<^<^>v>>^<<v>><v<<>><^>>v^v^^>v^>v^><^<vv^>><v<>v>vvv<<>v><^vvv>^^vv^<^>><v<>^vvv>^^^>^v^^vv^v^<>^^<>^<v>^^<<v>><<^^<<^<<<>^>v<v^<>>^>^v^^<>^><vvv^<vv<>v<^<vv><^^v<<<vv>^^^>v^^<v^^>v>><<<^<<><<<><><vv^v>>^^>^<<>>><<^>vv><v>^vv^<>^>><>^^<><><<><>^^<><^<>v>^^<<v>v^<<>>v>^>^^>vv^^v<^vv><<vv^^^^^<<<<v<^<<>v^^v^<v>v><<<<<>>v^>^>><<>^^><>v>>v^<^^^^>>v><<v>>^v<<v><vv>>v^<<^>>><^<^v<>vvv<<vv<^<v^v>v<v<<v^^v><<>v<v<>^<>><^>^^^>^v^<<>v^v^^>>v>^v>v<><<^>v^<><<<v^>>>>>vvv^v<>^^>^^^<vvv<vv^^>v<v><v<vv^><^v>>v<v^^>^vvv^^>>vvvv^><^vv^^vvv<<>>^>v^v^v><^^^^vv^^><^<<><<<<v><<^v<^<>>^^vv<><^^><v^<^><^>v^^^<^^>>vv^^>><v<<^<>>><v<^<<v<v>v>>^>>>>><v>v<><^^>^<v<^^vv><<<^<><v^<^v^^v<<<v<<<vvv>><>>>vvvv^<^^v<v^v^vv^v^<v^<<>v>><^^^v><^v^<v^^><vv^<><^^<^<<<<vvv<v><>>>v^<v>v>vvv>><vv>^>^<^><^v>vvv^v><><>>><^<v<v<<<>v<v<<v^>^<v^v<vvvvv>>^><v>>v>>>>vv^<vvv^v^v>>v>v^><<>v^vv^><^>^<vv^v<<v><vv<<^v<>^><v^<^>v>vv^<^vv<v^>^<vv<v^><^>vvv<v^<^<>^v<v^^>><^^<vv^>>vv><^>>^><>>v><>><<<^>>v>^^<<^
+>>^vv>^>^><>>>v>^><^<><>><<<<><<^<^<v^v^v>>>><><vv>>^<>v<v^>v<<^>>v^v>^>^>v<^v>>v<vv^vvv<<^^^<^v<vv<>>^^><<><<^v><^^v>><v>^<v<><^>>v><v^v<^<v^>>v>>>^v<^v><<>v>^<^^^<^vv><<<><>^v^v^^>^v>>v<v<^<<v^^><<^vv>v>^vv<^>v<><<^<<^<^^v^<vv>^<>vv<^>>^^^<^v><>vv^>vv^^vvvv^>v>^v>^<><v^^>v<><vv^><>^>v<>><v<<>^^>^<>vv<>^vvv>><^^v<>>^<v<v^>>v^>>>vvv<<vv^^^^>>^^<<>vv<<>>>v<>v>v^^v<vvv<><><<<^v^>^v^^^v>>v^>v>^v<>v^><>^><v^vv<^<^v^^v<><vv<<^^><v>>^<>^<v>v<<v^^v<v><<>^><>>><><><<>^^<^>vvvv<<v<^<^v><^<<>>vvv^^vvvv>vv<<v<>^^<><<><>^<^v<^v>^^<><>>v><^>><v<v>v>>vv<<v<v<vv>^v^<>>^v^<><<<vv^^>v^<<v^v<^v^>><vv><>^^>><<^>><<v>^<>^>v<^^^vv^<<<<^vv>><vv^><^><^<^^<><v<<^>^^><v>^>^vv><vv><^v>v<vv>^><v^<vv>>vv^v>v>><v^^><^<vvv<v^^<<v^>^<^^^vvv<^>^>^><^^<v^<>v^vvv>^<<v<^^v>v>>>><>vv<>^v<<v>>^<^<<<<^v>^^>>vv>>v>v<vv^><^^v<<<v<<<<^>v^<^v<^^^><^v>^><v^^<^<>>>v^^<^v^<v<^^>vvv>^<<^v<>>^v<<^^v^<v<v<<v^v^<<>v>^^^<v>>^>>^^>>v^>v><>vv^<v<vv^v<vv^^vv>^^>>v<^>>v>v^<>>v^^v>>>v<<>vvvvv>><><>^^<<v>^<>v^^^<><^>><^^v^v^^<^<v><><<<v><<>
+vv>>^v<v<^v<<<<^v<>v<<^v^<vv><>>v<<><v<<><<^vvvv<<^<<v<>v<v>>^^>^<<^v<^v<^<>v><<vv^<vv<v^>v><<>vv^v><vv<<<>><^<v<<><<>v>>v><>>^^<>>>^<>v><><>v^<v>v>>^v>v>^<>><>^^<<^v><>^<^><^>>v^^<^<v^<>^^v>>v<^v><v^>^>vvv>v<<vvv^<v<v>v>v>^^vv<<>v>><^v^v^^v<^vv<<><>>>^^^v>v^^^>v^<><^<>^><v>><<>v^>^>v>><v>v>><^v^v<<>^v<>>v^v^v^^v^^>>v>^<^>>><^v^<<^>^>^>>v>>^>vvvv>>>^^^<<vv>^v<v<^^<v<<>^v>^<^>>v<><<v>v><v>v^<><^<<^v^<^<<^^v>^<v<<>v>v^<><^v^^>><>^<^^><<v^^^v^>>>v>vv^v^v<<<>^v<>^^vv<>^v><^vv<^vv^<<<^<<^^><<><<>^v^<v>v<vv^^^^>vv^^>^<<v<><^>^<<<v<><vv><^v<<>>v>>>><^^>^>^>>>>^<vv>^^v^^>v<^^<^vv>>^^^^vv<^>v<><vv<^^v><<><><^v^><^^>>^^>vv><v^<>v^v>v>^<<v><<^v^v>v>^<v^>><v^<<^<>>^^>>><vv<vv<<>>v<<^<^>><v<v>v><>v^<v^v>^vv>>><^^>>v^^>^>^<^>^v<v<^^>v>v<<vv>>^<>v>v^<v^<<vvv>^^<>vv>>^^>>><<^v<<v>vvv><v>^>v^vvvv^>>^<^<>v<vv>^<v^><<<v^v^>vv><>^<<vv^>>^>>^^v<><v<v^>>v^^v^><^><v^>^^v<^>^v^>^<>>^^>vv^vv<^^v<<<<^<vv<<<^vv>^^<vv^<v<v^><^>v>v^<<>^<^^^^^v>^^>^>vv>>v><^v^^>v<^>v^>><v<<v^>^>>^^v><>>^><<v<>v<><^^v>^v>^>v<v<^v<>^
+>^vv>^<vvvv>v<><<vv>><vv<>v^<<>>v>v<^><>^v<><>>^<<<v>^>vvvvv^>vv^^<>><^<>v>^^><v<>^<>>vv^vv^^v^>vv^<v>v^>>vv>>v^><<<>>^<<^>vv>v>^<>>>^^<v^^>><v^v<v^><<v>^v<>>^vv<>v<vv>^^>>><^<^^>>>vvv><><vv<v>v^<^^<^><>>^<<><<>>v>v^^^><^>v<<>^^<<vv<>>>v>>v^v<<><<^v^^<<vvv^v^^<>v><<^v>>^v<>^^^^v>^>>^>>v^>^>>v>>><^><<^v><>><><v^<v<<>><^v<^>vv<v^<>v^<<^><<<^^>>v<^>>v>>v>>>^<v^v<v<<>v>^><<vv>vv><^>v>^v<v^v><^<^vv^<vv<^^v>^^v^v<v<>>>>>^v>>^>^>v<>^>^<v^<>>^^v>v<>^<><^^<v<v^><<^v>v><>v>^>^<>><>>^>v^<v>v<<<>^><^v<><v>^^^^v<><^^v^^<^v>^<<v^>^>><^v><><<^^^v>><^^<<^>^vv<<^<>>v<<>>><v>>>^<<v<<><v<^v<v^v<>>^>v<<v^<><<>v<^v^<vv>><vvv>v<^^<<^v<<^v><>^vv>v<><v^><v<^^<<<>v<<<^^v^><^^^^<^^v<<^<>v><>>v<vv<vv<v^v<<>><v^v>^v<><v<><v>v><>><^>^^^<v<<^^>>v<<<<v<<^v^vv>>v^>vv<><<<^^><v>^^>^^v<^>^^^v<^^>>>^<^<>v<vv<<^^><^^v^vv<v<v^<^v<<v><^^^<v<>v<^<<v><^><><>v^v>>>^vv^<<^v<<><<<><^^^>>^<^v^v<<>v<v<^<^v^<<^<^>^v^v>v><^^>^>>^<<><v^><<^<<<>v^><>><^<v^v>>^<^<^v^<<<^>^<>^^<>>^<^v^v>v^><v^<>v^>>vv>>>^<>vv<><>^>>^><>>v><^>>>^><^v<vv

2024/d16/ex1/ex1.py

@@ -0,0 +1,118 @@
+#!/usr/bin/env python
+
+import enum
+import heapq
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+class ParsedMaze(NamedTuple):
+    start: Point
+    end: Point
+    blocks: set[Point]
+
+
+class Direction(enum.IntEnum):
+    EAST = enum.auto()
+    WEST = enum.auto()
+    NORTH = enum.auto()
+    SOUTH = enum.auto()
+
+    def rotations(self) -> tuple["Direction", "Direction"]:
+        match self:
+            case Direction.EAST | Direction.WEST:
+                return (Direction.NORTH, Direction.SOUTH)
+            case Direction.NORTH | Direction.SOUTH:
+                return (Direction.EAST, Direction.WEST)
+
+    def step(self, p: Point) -> Point:
+        dx: int
+        dy: int
+
+        match self:
+            case Direction.EAST:
+                dx, dy = 0, 1
+            case Direction.WEST:
+                dx, dy = 0, -1
+            case Direction.NORTH:
+                dx, dy = -1, 0
+            case Direction.SOUTH:
+                dx, dy = 1, 0
+
+        return Point(p.x + dx, p.y + dy)
+
+
+Node = tuple[Point, Direction]
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> ParsedMaze:
+        start: Point | None = None
+        end: Point | None = None
+        blocks: set[Point] = set()
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                p = Point(x, y)
+                if c == "S":
+                    start = p
+                elif c == "E":
+                    end = p
+                elif c == "#":
+                    blocks.add(p)
+                else:
+                    assert False  # Sanity check
+        assert start is not None  # Sanity check
+        assert end is not None  # Sanity check
+        return ParsedMaze(start, end, blocks)
+
+    def djikstra(start: Point, end: Point, blocks: set[Point]) -> int:
+        def next_moves(
+            pos: Point,
+            dir: Direction,
+        ) -> Iterator[tuple[int, Point, Direction]]:
+            transitions = [(1, dir.step(pos), dir)]
+            for new_dir in dir.rotations():
+                transitions.append((1000, pos, new_dir))
+            for cost, pos, dir in transitions:
+                if pos in blocks:
+                    continue
+                yield cost, pos, dir
+
+        # Priority queue of (distance, point, direction)
+        queue = [(0, start, Direction.EAST)]
+        seen: set[Node] = set()
+
+        while len(queue) > 0:
+            cost, p, dir = heapq.heappop(queue)
+            if p == end:
+                return cost
+            # We must have seen (p, dir) with a smaller distance before
+            if (p, dir) in seen:
+                continue
+            # First time encountering (p, dir), must be the smallest distance to it
+            seen.add((p, dir))
+            # Add all neighbours to be visited
+            for n_cost, n, n_dir in next_moves(p, dir):
+                heapq.heappush(queue, (cost + n_cost, n, n_dir))
+
+        assert False  # Sanity check
+
+    start, end, blocks = parse(input.splitlines())
+    return djikstra(start, end, blocks)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d16/ex1/input

@@ -0,0 +1,141 @@
+#############################################################################################################################################
+#.......#...#.....#.......#.........#.#.............#...........#.......#...............#.........#...........#...#.......#.......#.......#E#
+#.#####.#.###.#.#.#.#.#.#.#.#.#####.#.#.###.###.###.###.#####.#.###.#.#.#.#####.#######.#.#######.#####.#####.#.#.#.###.#.#.###.#.#.#.###.#.#
+#.....#.#.....#.#.#.#.#...#.#.....#...#.#...#...#.#...#.#.....#...#.#.#.....#...#...#...#...#...#.#.....#...#.#.#...#.....#.#...#.#.#.#.....#
+#.###.#.#.#####.###.#.#.###.#####.#.###.#.#.#.###.###.###.#######.#.#.#######.###.###.#####.#.#.#.#.#####.#.#.#.#####.#######.#.#.###.#####.#
+#.#.................#.#.#...#...#.#.#...#.#.#.#.....#.....#...#...#...#.......#.......#.....#.#.#.#.......#.#.#...#...........#.......#...#.#
+#.#.#.#.#####.#######.#.#.###.###.#.#.###.#.#.#.#.#.#######.###.#######.#########.#####.#####.#.#.#######.#.#.###.#.###########.#####.#.#.###
+#...#.#...#.#.#...#...#.#.#...#...#.#...#.#.#.#.#...........#...#.......#...................#.#.#.......#.#.#.....#.#.........#.......#.#...#
+###.#.###.#.#.#.###.#.#.#.###.#.#######.#.#.#.###.###.###.#.#.#####.#.###.#.###.#.#########.#.#######.#.###.###.#####.#######.#.#####.#.###.#
+#...#...#.#...#.#...#...#.#...#...#...#.#.#.#...#...#.#...#...#.....#.....#.....#.......#...#.#.......................#.....#.......#...#.#.#
+#.#.###.#.#.###.#.###.#.#.#.#####.#.#.#.#.#.###.#.#.###.#######.#####.#####.###.#######.#.###.#.#.###.#.#.#######.#######.#.#######.#.###.#.#
+#.#.....#.#...#.#.........#.....#...#.#.#.........#...#.....#.#.......#...#...#...#.....#.#.#...#...#...#.......#...#.....#.#.............#.#
+#.#######.###.#.#####.#.#.###.#.#####.#.#.#######.###.#####.#.#.#####.#.#.###.#.#.#.#####.#.#.#####.#.###.#####.###.#.#.###.#.#.#.###.#.#.#.#
+#.....#...#.........#...#.....#.#...#...#.#.....#.#.#.....#.#.....#...#.#.....#.#.#.#.....#.#...#...#.#.......#...#.#.#.#.....#.#...#.#...#.#
+#####.#.###.#########.#.#.###.###.#.#.###.###.#.#.#.#####.#.#####.#.#.#.#######.###.#.#.###.###.#.###.#########.###.#.#.#######.###.#.###.#.#
+#.....#.#.......#.....#.....#.#...#.#...#...#.#...#.......#.........#.#.#...#.......#.#...#.....#...#.#.......#...#.#.#.#.......#.#.#.......#
+#.#####.###.###.#.#########.###.###.#####.#.#.###.###.#.#####.#.#######.#.###.#.#####.###.#########.#.#.#####.#.#.#.#.#.#.#######.#.#.#####.#
+#.#.....#...#...#.......#.#.#...#.....#.....#.#.......#.#...#.#...#...#.#...#.#.......#.#.#.....#...#...#...#.#.#...#.#.#.......#.#.#.....#.#
+#.###.###.#.#.###.#####.#.#.#.#######.#.#####.#.#######.#.#.#.#.###.#.#.#.#.#.#####.###.#.#.###.#.#######.###.#.#######.#######.#.#.#.###.#.#
+#...#...#...#.#...#.....#...#.#...#.#...#...#.#...#...#...#...#.#...#.#.#.#...#...#...#.#.....#.#.......#.#...#.........#.....#.#.#...#.....#
+#.#.###.###.#.#####.#####.###.#.#.#.#######.#.###.#.#.#########.#.###.#.#.#####.#.###.#.#######.#.#.###.#.#.###########.###.#.#.#.###.#####.#
+#.#...#.....#.......#.........#.#.#.........#...#...#...........#.#.....#...#...#.#...#.#.....#.#.#.#.#.#.#.......#...#...#.#.#.#.#.........#
+#####.#.#.#.#########.#######.#.#.###.#########.#.#############.#.#########.#.###.#.###.#.###.#.###.#.#.#.#######.#.#.###.#.#.#.#.#.#.#.#.#.#
+#.....#...#...............#...#.#...#.........#.#...#.....#...#.#.......#.#.#.#...#.#...#.#...#.#...#.......#.....#.#.#...#.#.#.#.....#.#.#.#
+#.#####.###.#####.###.#.###.#.#.###.###.###.###.###.#.###.#.#.#.#######.#.#.#.#.###.#.###.#.###.#.###########.#####.###.#####.#.#####.#.#.#.#
+#.....#...#.....#...#.#...#.#.#...#...#...#...#.....#.#.....#.......#...#.#.#.#...#...#...#.#...#.#.....#...#.....#...#.......#.#...#...#.#.#
+#####.#.#.#.###.###.###.#.#.#.###.###.###.###.###.#.###.#.#.#.#####.#.###.#.#.###.###.#.###.#.###.#.###.#.#.#####.###.###.#####.#.#.#.#.#.###
+#.....#.......#.#.#...#.#.#...#.....#.#...#.#.#...#.....#...#.#.....#.#...#.#.#.......#.#.#...#...#...#...#.....#...#.....#...#...#.#.#.#...#
+#.#####.###.#.#.#.###.###.#.###.#####.#.###.#.#.###########.#.#.#.###.#.###.#.#####.###.#.#####.###.###########.###.#######.#.#.###.#.#.###.#
+#...........#.#.....#...#...#...#.#.........#.#...........#...#.#.....#.....#.#...#...#.#.....#...#.#.............#...#.....#.#...#.#...#.#.#
+#.#####.###.#######.###.#####.###.#.###.#####.###.#####.#.#.#.###.#####.###.#.#.#.###.#.#####.#.#.#.#.###.###########.#.#####.###.#.#.#.#.#.#
+#.#...#...#...........#.....#.....#.#.#.#...#.....#...#...#.#.....#.#...#...#...#.#.#.#.....#.#.#.#.#.#...#.........#...#...#.#...#.....#.#.#
+#.###.#.#.#.#############.#.###.###.#.#.#.#.#.#.#.#.#.#.###.#######.#.#####.#.###.#.#.#####.#.#.#.#.#.#.###.#######.#####.#.#.#.#####.#.#.#.#
+#...............#.......#.#.....#...#.#.#.#.#.#.#...#.#...#.#...#...#.#.....#.#.#.#.#...#...#...#...#.#...#.................#.#...#.......#.#
+#######.#######.#.#.###.#.#######.###.#.#.#.###.#########.#.#.###.#.#.#.#.###.#.#.#.###.#.#########.#.###########.#########.#.###.###.#.###.#
+#...#...#.#...#.#.....#.#...#...#...#...#.#...#.....#...#...#.#...#.#.#.#...#...#.#.#...#.#...#...#.#.........#...#.....#...#...#.......#...#
+#.#.#.###.#.#.#.#.#.#.#.###.###.###.###.#.###.###.#.#.#.#####.#.###.#.#.###.###.#.#.#.###.#.#.#.#.#######.###.#.###.###.#.#.###.#######.#.###
+#.#...#...#.#.#.#.#...#.#.........#...#.#...#...#...#.#.#.....#.#.#...#...#.....#.#.....#...#...#.......#...#.#...#.#.#.#.#.#...#...#...#...#
+#.#####.#.#.#.#.###.###.#############.#.###.###.#.#.#.#.#.###.#.#.###.###.#######.#####.#.#############.#.###.###.#.#.#.#.###.#####.#.#.###.#
+#.#.....#...#...#...#.#.........#.....#.#.#.#.#...#...#.......#.#...#...........#...#...#...#.....#...#.#.......#...#...#.....#...#...#...#.#
+#.#.#############.###.#########.#.#####.#.#.#.#.#.###.#####.###.#.#.#.#######.#.###.#.#####.#####.#.#.#.#.#.#########.#########.#.#.###.#.#.#
+#.......#.....#.....#...#.....#.#...#.#...#.....#...#...#...#...#.#...#.......#.....#...#.......#.#.#...#.#.........#...#.......#...........#
+#.###.#.#.#.#.#####.#.#.#.#.###.###.#.###.#####.###.###.#.###.#########.###############.#######.#.#.#####.#####.#######.#####.###.#####.#.#.#
+#.#...#...#.#...#...#.#...#...#...#.#.#.......#...#...#.#.....#.....#...#.#.....#.....#...#.......#.#.....#...#.......#...#...#...........#.#
+#.#.#######.###.#.###.#######.###.#.#.#.#########.###.#.#########.#.#.###.#.###.#.###.###.###.#####.#####.#.#.#####.#####.#.###.#######.###.#
+#.#.........#...#.....#.....#.....#.#...#.......#...#.#...#.......#...#.#...#.#...#.#.......#.#...#.....#...#.#...#.....#...#.#...#.........#
+#.###########.#####.#.#.###########.#####.###.#####.#.###.#.###########.#.###.#####.#######.###.#.#####.#####.#.#.#####.#####.###.#.###.###.#
+#...............#...#.#...........#.....#...#.#.....#...#...#.........#...........#...#...#...#.#...#...#...#...#.#...#.........#...#.....#.#
+#.###.#.#####.#.#.###.#####.#.###.###.#.###.#.#.#.#.###.###.#.#######.#####.#####.#.#.#.#.###.#.###.#.#.#.#######.###.#########.#.###.#.###.#
+#...#...#.#...#...#.#.....#.#...#...#.#.....#.....#.....#...#.#.....#.....#.#...#.#.#...#.#.....#.#...#.#.......#.....#...............#.#...#
+###.#.###.#.#.#####.#####.#####.###.#.#############.#.#######.#.###.#####.###.#.#.#.#.###.#######.#####.#.#.#########.#.#########.###.#.#.###
+#...#.....#.#...#.......#.......#.#.....#.....#...#.#.#.....#...#.#.#...#...#.#.#...#...#...#...........#.#...........#...#...........#...#.#
+#.#.###.###.#.#.#.#.###.#########.#.###.#.###.#.#.#.#.#.###.###.#.#.#.#.###.#.#.###.#.#####.#######.#.###.#########.#.###.#.#####.#####.###.#
+#.........#.#.#.#.#.#.....#.......#.#.#...#...#.#...#.#.#.#...#.....#.#...#...#...#...#.....#.......#.#...#.......#.....#.#.#.........#.#...#
+#.#.###.#.#.#.#.#.#.#######.#####.#.#.###.#.###.#.###.#.#.###.#.#####.###.#######.#.###.#####.#######.#.#####.###.#######.#.###.#.#####.#.#.#
+#...#...#.#...#...#...#...#...#...#.#.......#...#.#...#...#...#.#...#.#...#.....#.#...#.....#.....#...#.....#...#.#.....#.#.....#.#.....#.#.#
+#.###.#.#.###.###.#.#.#.#.###.#.###.#########.###.#.#####.#.###.#.#.#.#.#.#####.#.###.#####.#.###.#.#######.###.###.###.#.#######.#.###.#.#.#
+#.....#.#.......#.......#.....#...............#...#...#.#.#.....#.#...#.#.......#...#.#.#...#.#...#...#.........#...#.#...#.#.....#.#.....#.#
+#######.#####.#.###.#.#####.#.#################.#.###.#.#.#########.###.#######.#.###.#.#.#####.#######.#########.###.#####.#.###.#.#.#.###.#
+#.......#.....#...#.#.#...#...#...............#.#...#.#.#...#.....#.....#.....#.........#.#.....#.......#.....#...#...#.....#...#.#.#.#.....#
+#.#####.#.###.#.###.#.#.#########.#.#.###.#.###.#.###.#.###.#.#.#.###.#####.#.#.###.#####.###.###.#######.###.#.###.#.#.#.#####.#.#.#.#.#####
+#...#.....#.#.......#.#...........#.#...#.#.........#...#.#.#.#.#...#.....#.#...#.....#...#...#...#.......#.#...#...#...#.#.................#
+###.#.#.###.#.#.#####.#.#####.#####.###.#.#.#######.###.#.#.#.#.###.#####.###.###.###.#.###.###.###.#######.#####.#######.#.#######.#.###.#.#
+#...#.#...............#.#.....#.....#...#.#.#.......#...#.#.#.#.#.......#...#.#...#.#...#.........#.#.........#...#.......#.#.#.....#.....#.#
+#####.#.#####.#########.#.#####.#####.###.#.#.#####.#.###.#.#.#.#######.###.#.#.###.###########.###.#.#.#####.#.###.###.###.#.#.#####.#####.#
+#.....#.#.........#.....#.#.#...#.........#.#...#...#.#...#.#.#...#.#...#...#.#.#.........#...#.#...#.#...#...#...#...........#...#.......#.#
+#.#####.#.###.###.#######.#.#.#.#.#####.#.###.#.#.###.#.#.#.#####.#.#.###.#####.#.#.#.###.#.#.###.#######.###.###.#.#############.#########.#
+#.#...#...#.....#.....#...#.#...#...#...#...#.#.#...#.#.#.#.#.....#.#.....#.....#...#...#.#.#.....#.....#.........#.......#.#...#...#.......#
+#.#.#.#####.###.#####.#.###.#.#####.###.###.###.#####.#.###.#.#####.#####.#.###########.#.#.#######.#.#.###.#.###########.#.#.#.###.#.#####.#
+#.#.#.........#...#...#.#...#.#...#.#.....#...#...........#.#.....#.......#.#...........#.#.#.......#.#.......#...#...#.....#...#...#.#.#...#
+#.#.###########.#.#.###.###.#.#.#.#.#.###.###.#.###.#####.#.#####.#.#######.###.#########.#.#.#####.#.#######.#.#.#.#.#.#####.#.#.###.#.#.###
+#.#...#.........#.#.#.....#...#.#...#...#.#...#.#.........#.......#...#...#.#...#...#...#...#.....#.#.........#.#...#...#.....#...#...#...#.#
+#.###.#.#########.#.#####.#####.#####.#.#.#.###.#.###############.###.###.#.#.#.#.#.###.###########.###########.#########.#########.#.#.###.#
+#...#.#.........#.#.....#.....#.....#.#.#.#.#.....#.....#...#.........#.#...#.....#...#...........#...........#.#.....#...#.........#.#.....#
+#.###.#########.#.#####.#####.#####.#.#.#.#.#.#####.###.#.#.#.#.###.#.#.#############.#.#########.###########.#.#.###.#.#.#.#########.#####.#
+#.....#.......#.#.................#.#.#.#.#.#.#...#.#.#...#...#...#.#.#...............#...#...#.#.........#...#...#.#...#.#.......#...#...#.#
+#.#####.#######.###.###############.#.#.#.#.###.#.#.#.###########.#.#.###.#############.#.#.#.#.#########.#.#.###.#.###.#.#######.#.###.#.###
+#.......#.....#...#.#...#...........#.#.#.#.#...#.#.#...#.........#.#.#...#.....#.....#.#...#.#.............#.#.#.....#.#...#...............#
+#.#####.#.###.###.#.#.###.#############.#.#.#.###.#.#.#.#.#########.#.#.#.#.###.#.#####.#####.#.#####.#######.#.#.#.#.#.###.###.#.#######.#.#
+#.......#...#.#...#...#...#.........#...#.#...#...#.#.#.#...#.#.......#.#.#...#.#.....#.....#.#.#...#...#...#...#.#.#.#.#.#...#.....#...#.#.#
+#.#########.#.#.#####.#.#######.###.#.###.#####.###.#.###.#.#.#.#####.#.#####.#.###.#.#####.#.###.#.#####.#.#####.#.###.#.###.#######.#.#.#.#
+#.#.....#...#...#...#.#.......#.#.#...#.#.#...#.....#...#.......#.....#.......#...#.#...#...#.#...#...#...#...#...#.....#...#.#.......#.#.#.#
+#.#.###.#.#.###.#.#.#.#######.#.#.#####.#.#.#.#######.#.#.###.###.#####.#########.#####.#.###.#.#####.#.#####.#.###.#####.###.#.#######.###.#
+#.#.#.....#.#.....#.#.#.........#.#.....#...#.#.....#.#.#...#.....#...#...#...#.#.....#.....#.#.#...#...#...#.#...#.......#...#...#...#.#...#
+#.#.#.#######.#####.#.#.#.#######.#.###.#####.#.#####.#.###.###.###.#.###.#.#.#.#####.#####.#.#.###.#.#.###.#.###.###.###.#.#####.#.#.#.#.###
+#.......#...#...#.#.#.#.#.........#...#.........#.....#...#...#.#...#...#...#.#.....#...#.#.#.#.....#.......#...#...#.#...#.#.....#.#...#...#
+#.#.#####.#.###.#.#.###.###.#.#####.#.#########.#.#.###.#####.#.#.###.#.#####.#.###.###.#.#.#.#####.#####.###.###.#.###.#.#.#.#####.###.#.#.#
+#.#.#.....#...#...#.#.......#.#.....#.#.#.......#.#...#.....#...#...#.#...#...#...#.#.#.#.#.#.....#.#.......#.#...#.#...#.#.#.#.......#...#.#
+#.###.#######.###.#.#.#####.###.#.###.#.#.#.#.###.#.#.#####.#######.#.###.#.#.###.#.#.#.#.#.#####.#.#.#####.#.#.#.#.#.#.###.#.#.#####.#.###.#
+#.....#.....#.....#.....#...#...#.#...#...#.#.#...#.#.....#...#.#...#...#.#.#.....#...#.#...#...#.#.#.#.....#...#.#...#.#...#.#.....#...#...#
+#######.#.###############.#.#.###.#.#######.#.#.#####.###.#.#.#.#.#####.#.#.###.#######.#.###.#.#.#.###.#####.###.#####.#.###.#####.###.#.###
+#.....#.#.............#...#.#...#.#...#.....#.#.....#.#.#.#.#...#.....#.#.#.....#.......#.#.#.#...#.....#...#.........#.#.#.....#.......#...#
+#####.#.#.###.#######.#.#######.#.###.#.#####.#####.#.#.#.#.###.#####.#.#.#####.#.#######.#.#.#######.###.#.#####.#####.#.#.#.#.#######.###.#
+#.....#...#...#...#...#.........#...#.#.......#...#...#...#...#.#.....#.#...#.#.#...#...#...#.............#.....#.........#.#.#...#...#.....#
+#.###.###.#.###.#.#.#.#############.#.#.#####.#.#.#####.#####.###.#####.###.#.#.###.#.#.###.###########.#######.#########.#.#.###.#.#.#.#####
+#...........#...#.#.#.....#...#...#...#.#...#...#...#...#...#...#...#...#.....#.#.#.#.....#.#.....#...#.#...#.#.......#...#.....#...#...#...#
+#.#######.#.#.###.#.#####.#.#.#.#.#######.#.#.#####.#.###.#.###.#.###.#########.#.#.#.###.#.#.#####.#.#.#.#.#.#####.#.#.###.#########.#.#.#.#
+#.....#...#.#...#.#.......#.#.#.#.........#.#...#...#.....#.#.#...#...#.....#...#.#...#.#.#...#.....#.#...#.#.......#.....#...#.....#.#...#.#
+#####.#.#.#.#####.#######.#.#.#.###.#.#####.#####.#########.#.#.###.#.#.###.#.###.#####.#.#####.#####.#####.#######.#.###.#####.###.#.#.###.#
+#...#...........#.#...#...#.#...#.#...#.........#.....#.....#.....#.#.#...#.#.#.........#.......#...#.....#.......#.#.....#.....#.#.#.....#.#
+#.#.#####.#.#.#.#.#.#.#.###.#####.#.#####.#####.#####.#.#.#####.###.#####.#.#.#.#######.#.#########.#.###.#######.#.#######.#####.#.###.###.#
+#.......#.#.#.#.#...#...#.#.#...#.#.....#.....#.......#.#.....#...#.....#.#...#.....#.#.#...........#.#...........#.......#.#...#.....#.....#
+#.#####.#.###.#.#.#######.#.#.#.#.#####.#.###.#########.#.###.###.###.###.#########.#.#.#.#####.#####.#.###########.#.###.#.#.#.#####.#.###.#
+#.#...#.#.#...#.#.......#.#...#...#...#.#.#.#...........#...#.....#.#.#...#.........#...#.#.#...#.....#...#.......#...#.#.#.#.....#.#.#.#...#
+#.#.#.#.#.#.###.#.#####.#.#######.#.#.#.#.#.###############.#####.#.#.#.###.###.#####.#.#.#.#.###.###.###.###.#.#.#.###.#.#.#.###.#.#.#.###.#
+#...#...#.#.#.#...#...#...#.......#.#.....#...............#.....#...#...#.#.#...#.....#.#.#.....#.#.#...#...#.#.#...#.....#.#.....#.#.......#
+#.#####.#.#.#.#.###.#.###.#.#######.#.#####.#.###########.#.###.#####.###.#.#.###.#####.#.#.#####.#.###.###.###.#####.#####.###.#.#.#.###.#.#
+#.#...#...#.#.#.....#...#.#.........#.......#.......#.......#.#.........#...#.#...#.....#.#...#...#.......#...#.#.....#.......#.#.#.#.#...#.#
+#.#.#.###.#.#.#########.#.#####.###.#########.#.#####.#####.#.#######.###.###.#.###.#####.#.###.#.#######.###.#.#.#####.#######.#.#.#.#.#####
+#.#...........#...#.#...#...#...#...#...#.....#.......#.............#.#...#...#...#.......#.#.....#.........#...#...#...........#.#...#.....#
+#.#.#.#######.#.#.#.#.#.###.#.###.###.###.#############.#############.#.###.###.#.#.#########.###.#.#.#####.#######.#.###########.#.#.#.###.#
+#...#.#.....#...#.#.#...#...#.#.....#.#...#...........#.#...........#.#.#.#.#.#.#...#.....#...#...#.#.....#...#...#.#.#...#...#...#...#...#.#
+#.###.#.#.#######.#.###.#####.#.###.#.#.###.#####.###.###.#####.#.#.#.#.#.#.#.#.#####.###.#.#.#####.#####.#####.#.#.#.#.#.#.###.#####.#####.#
+#...#.#.#.......#...#.#.#...#.#.#...#.#...#...#.......#...#.....#.#...#...#.#...#...#.#.....#.#.....#.....#...#.#...#...#...#...#...........#
+#####.#.#######.#.#.#.#.#.#.#.#.#.###.###.###.###.#####.#####.###.#####.#.#.###.#.#.#.#########.#####.###.#.#.#.#######.###.#.###############
+#.....#.#...#...#...#.#.#.#.....#.#.........#...#.#...#.....#.....#.....#.#...#...#.#.#.........#...#.#...#.#...#...#.....#.#.#.............#
+#.###.#.#.#.#.###.###.#.#.#####.#.#########.###.#.#.#.###.#.#######.#.###.###.#####.#.#.###########.#.#####.#######.#.#.###.#.#.###########.#
+#...#.#.#.#.#.....#...#.#...#...#.........#.#...#...#...#.#.......#.#.....#.#.#.....#...#.....#.....#.......#.....#...#.#...#.......#.......#
+#.#.#.#.#.#########.#.#.###.#############.#.#.#########.#.#######.#.#######.#.###############.#.#.###.#######.###.###.#.#.#########.#.#.#.#.#
+#.#.#.#.#...........#.#...#.#...#.......#.#.#.#.....#.#.#.......#.....#.........#...........#...#.#.........#...#...#.#...................#.#
+#.#.###.#.#######.###.###.#.#.#.#.#####.#.#.#.#.###.#.#.###.#########.#.###.###.#.#.###.###.#####.#.#####.#.###.#.#.#.#########.#.#.#.#.###.#
+#.#.....#.#.....#.#.....#.#.#.#...#...#.#.#.#...#...#.#.#...#.......#...#.#...#...#.....#.#.#...#.......#.#.#...#...#.#.........#.#...#.#...#
+#.#######.#.###.#.###.#.#.#.#.#####.###.#.#.#.###.###.#.#.###.#####.#####.###.#####.###.#.#.#.#.#####.###.#.#.###.#####.#########.#######.#.#
+#...#.....#.#...#...#...#.#...#...#.....#.#.#...#.#.....#...#.#...#.#...#.........#.#.#.....#.#...........#...#.#.......#.......#.....#...#.#
+###.#.#####.#.#####.###.#.#######.#.#####.#.#####.#.#####.###.#.###.###.#.#####.###.#.#.###.#.#############.#.#.#########.#####.#####.#.###.#
+#.#.#.....#.#.#...#...#.#...#.....#.#.....#.......#...#...#...#.......#.........#...#.#.#.......#.........#...#.....#.....#.#...#.....#...#.#
+#.#.#####.#.#.#.#.###.#####.#.#.#.#.#.#.###########.#.#.###.#########.#######.#.#.###.#.#.#.###.#########.#######.#.#.#####.#.###.#######.#.#
+#...#...#.#.#...#.#...#...#.#.#.#.#.#.#.#...#.........#.#...#.....#...#.....#...#...#...#.#...#.#...#.......#.....#...#.......#...#.......#.#
+#.#.#.#.#.#######.#.###.#.#.#.#.###.#.#.#.#.#######.#.###.###.###.#.###.###.#######.#.###.#.#.#.#.#.#.#####.#.#########.#######.###.###.###.#
+#.#...#.#...#...........#.........................#.....#...............#.#.........#.#...#.#.#...#.#...#.#.#...#.....#.#.......#.....#...#.#
+#.#.###.###.#.###.###.###.###########.#.#.#######.#.###.###.###.#.#.#.###.###########.#####.#.###.#.#.#.#.#.###.#.#####.#.#######.#######.#.#
+#...#...#...#.#.#.#...#.........#...#.#.#.....#.#.....#...#.#...#.#...#.............#.#.....#...#.#.#.#.#.......#.......#.........#.......#.#
+###.#.###.###.#.#.#.#.#.#######.#.#.#.#.#####.#.#####.###.#.#.#.#.#######.#####.#.###.#.#.#.###.#.#.###.#######.#####.#####.###.#.#.#######.#
+#...#.#.#.....#...#.#...#.....#.#.#...#.#.........#...#.#.#.....................#...#...#...#.#.#.#...#.....#.#.#...#.......#...#.#...#...#.#
+#.#.#.#.#.#####.###.#.###.###.#.#.#######.#######.#.###.#.###.#.###.#.#.###.#.###.#.#######.#.#.#####.#.###.#.#.#.#.#######.#.#######.#.#.#.#
+#.....#...#...#...#.#.....#...#.#.........#.....#.#.#.#...#.......#...#...#.#...#.#...........#.....#.#...#.#...#.#.......#.#...#...#...#.#.#
+#.#.#######.#.#####.#.#.#####.#.#####.#####.###.###.#.#.###.#.###########.#.###.#.#####.###.#.#####.#.###.#.#####.#######.#.#.#.#.#.#####.#.#
+#.#.....#...#.#.....#.#.#...#.#.....#.....#.#.#...#.#.#...#...#.......................#...#...#...#.#...................#.#...#.#.#.#.......#
+#.###.#.#.###.#.#####.#.#.#.#######.#######.#.###.#.#.###.###.#.#######.#####.###.#.#.###.#.###.#.#.###.#.#.#.#####.###.#.#####.#.#.#.#####.#
+#S....#...#.....#.....#...#.................#.......#...........#.............#.....#...#.......#.....................................#.....#
+#############################################################################################################################################

2024/d16/ex2/ex2.py

@@ -0,0 +1,149 @@
+#!/usr/bin/env python
+
+import enum
+import heapq
+import sys
+from collections import defaultdict
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+
+class ParsedMaze(NamedTuple):
+    start: Point
+    end: Point
+    blocks: set[Point]
+
+
+class Direction(enum.IntEnum):
+    EAST = enum.auto()
+    WEST = enum.auto()
+    NORTH = enum.auto()
+    SOUTH = enum.auto()
+
+    def rotations(self) -> tuple["Direction", "Direction"]:
+        match self:
+            case Direction.EAST | Direction.WEST:
+                return (Direction.NORTH, Direction.SOUTH)
+            case Direction.NORTH | Direction.SOUTH:
+                return (Direction.EAST, Direction.WEST)
+
+    def step(self, p: Point) -> Point:
+        dx: int
+        dy: int
+
+        match self:
+            case Direction.EAST:
+                dx, dy = 0, 1
+            case Direction.WEST:
+                dx, dy = 0, -1
+            case Direction.NORTH:
+                dx, dy = -1, 0
+            case Direction.SOUTH:
+                dx, dy = 1, 0
+
+        return Point(p.x + dx, p.y + dy)
+
+
+Node = tuple[Point, Direction]
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> ParsedMaze:
+        start: Point | None = None
+        end: Point | None = None
+        blocks: set[Point] = set()
+        for x, line in enumerate(input):
+            for y, c in enumerate(line):
+                if c == ".":
+                    continue
+                p = Point(x, y)
+                if c == "S":
+                    start = p
+                elif c == "E":
+                    end = p
+                elif c == "#":
+                    blocks.add(p)
+                else:
+                    assert False  # Sanity check
+        assert start is not None  # Sanity check
+        assert end is not None  # Sanity check
+        return ParsedMaze(start, end, blocks)
+
+    def count_path_cells(start: Point, end: Point, blocks: set[Point]) -> int:
+        def next_moves(
+            pos: Point,
+            dir: Direction,
+        ) -> Iterator[tuple[int, Point, Direction]]:
+            transitions = [(1, dir.step(pos), dir)]
+            for new_dir in dir.rotations():
+                transitions.append((1000, pos, new_dir))
+            for cost, pos, dir in transitions:
+                if pos in blocks:
+                    continue
+                yield cost, pos, dir
+
+        def get_all_predecessors(
+            predecessors: dict[Node, set[Node]],
+        ) -> set[Point]:
+            queue = {(end, dir) for dir in Direction}
+            visited: set[Node] = set()
+            while queue:
+                cur = queue.pop()
+                visited.add(cur)
+                for pred in predecessors[cur]:
+                    if pred in visited:
+                        continue
+                    queue.add(pred)
+            return {p for p, _ in visited}
+
+        # Priority queue of (distance, point)
+        queue = [(0, start, Direction.EAST)]
+        seen: set[Node] = set()
+        predecessors: dict[Node, set[Node]] = defaultdict(set)
+        predecessor_cost: dict[Node, int] = {}
+        # Use an invalid maximum cost to simplify the loop
+        max_cost: int = -1
+
+        while len(queue) > 0:
+            cost, p, dir = heapq.heappop(queue)
+            # Did we go past the optimal cost, if so stop the loop
+            if max_cost > 0 and cost > max_cost:
+                break
+            # Otherwise, record the minimum cost
+            if p == end:
+                max_cost = cost
+            # We must have seen (p, dir) with a smaller distance before
+            if (p, dir) in seen:
+                continue
+            # First time encountering (p, dir), must be the smallest distance to it
+            seen.add((p, dir))
+            # Add all neighbours to be visited
+            for n_cost, n, n_dir in next_moves(p, dir):
+                n_cost += cost
+                # Record predecessors
+                if predecessor_cost.setdefault((n, n_dir), n_cost) > n_cost:
+                    predecessor_cost[(n, n_dir)] = n_cost
+                    predecessors[(n, n_dir)] = {(p, dir)}
+                elif predecessor_cost[(n, n_dir)] == n_cost:
+                    predecessors[(n, n_dir)].add((p, dir))
+                heapq.heappush(queue, (n_cost, n, n_dir))
+
+        # Run back up the tree of predecessors to count all cells
+        return len(get_all_predecessors(predecessors))
+
+    start, end, blocks = parse(input.splitlines())
+    return count_path_cells(start, end, blocks)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d16/ex2/input

@@ -0,0 +1,141 @@
+#############################################################################################################################################
+#.......#...#.....#.......#.........#.#.............#...........#.......#...............#.........#...........#...#.......#.......#.......#E#
+#.#####.#.###.#.#.#.#.#.#.#.#.#####.#.#.###.###.###.###.#####.#.###.#.#.#.#####.#######.#.#######.#####.#####.#.#.#.###.#.#.###.#.#.#.###.#.#
+#.....#.#.....#.#.#.#.#...#.#.....#...#.#...#...#.#...#.#.....#...#.#.#.....#...#...#...#...#...#.#.....#...#.#.#...#.....#.#...#.#.#.#.....#
+#.###.#.#.#####.###.#.#.###.#####.#.###.#.#.#.###.###.###.#######.#.#.#######.###.###.#####.#.#.#.#.#####.#.#.#.#####.#######.#.#.###.#####.#
+#.#.................#.#.#...#...#.#.#...#.#.#.#.....#.....#...#...#...#.......#.......#.....#.#.#.#.......#.#.#...#...........#.......#...#.#
+#.#.#.#.#####.#######.#.#.###.###.#.#.###.#.#.#.#.#.#######.###.#######.#########.#####.#####.#.#.#######.#.#.###.#.###########.#####.#.#.###
+#...#.#...#.#.#...#...#.#.#...#...#.#...#.#.#.#.#...........#...#.......#...................#.#.#.......#.#.#.....#.#.........#.......#.#...#
+###.#.###.#.#.#.###.#.#.#.###.#.#######.#.#.#.###.###.###.#.#.#####.#.###.#.###.#.#########.#.#######.#.###.###.#####.#######.#.#####.#.###.#
+#...#...#.#...#.#...#...#.#...#...#...#.#.#.#...#...#.#...#...#.....#.....#.....#.......#...#.#.......................#.....#.......#...#.#.#
+#.#.###.#.#.###.#.###.#.#.#.#####.#.#.#.#.#.###.#.#.###.#######.#####.#####.###.#######.#.###.#.#.###.#.#.#######.#######.#.#######.#.###.#.#
+#.#.....#.#...#.#.........#.....#...#.#.#.........#...#.....#.#.......#...#...#...#.....#.#.#...#...#...#.......#...#.....#.#.............#.#
+#.#######.###.#.#####.#.#.###.#.#####.#.#.#######.###.#####.#.#.#####.#.#.###.#.#.#.#####.#.#.#####.#.###.#####.###.#.#.###.#.#.#.###.#.#.#.#
+#.....#...#.........#...#.....#.#...#...#.#.....#.#.#.....#.#.....#...#.#.....#.#.#.#.....#.#...#...#.#.......#...#.#.#.#.....#.#...#.#...#.#
+#####.#.###.#########.#.#.###.###.#.#.###.###.#.#.#.#####.#.#####.#.#.#.#######.###.#.#.###.###.#.###.#########.###.#.#.#######.###.#.###.#.#
+#.....#.#.......#.....#.....#.#...#.#...#...#.#...#.......#.........#.#.#...#.......#.#...#.....#...#.#.......#...#.#.#.#.......#.#.#.......#
+#.#####.###.###.#.#########.###.###.#####.#.#.###.###.#.#####.#.#######.#.###.#.#####.###.#########.#.#.#####.#.#.#.#.#.#.#######.#.#.#####.#
+#.#.....#...#...#.......#.#.#...#.....#.....#.#.......#.#...#.#...#...#.#...#.#.......#.#.#.....#...#...#...#.#.#...#.#.#.......#.#.#.....#.#
+#.###.###.#.#.###.#####.#.#.#.#######.#.#####.#.#######.#.#.#.#.###.#.#.#.#.#.#####.###.#.#.###.#.#######.###.#.#######.#######.#.#.#.###.#.#
+#...#...#...#.#...#.....#...#.#...#.#...#...#.#...#...#...#...#.#...#.#.#.#...#...#...#.#.....#.#.......#.#...#.........#.....#.#.#...#.....#
+#.#.###.###.#.#####.#####.###.#.#.#.#######.#.###.#.#.#########.#.###.#.#.#####.#.###.#.#######.#.#.###.#.#.###########.###.#.#.#.###.#####.#
+#.#...#.....#.......#.........#.#.#.........#...#...#...........#.#.....#...#...#.#...#.#.....#.#.#.#.#.#.#.......#...#...#.#.#.#.#.........#
+#####.#.#.#.#########.#######.#.#.###.#########.#.#############.#.#########.#.###.#.###.#.###.#.###.#.#.#.#######.#.#.###.#.#.#.#.#.#.#.#.#.#
+#.....#...#...............#...#.#...#.........#.#...#.....#...#.#.......#.#.#.#...#.#...#.#...#.#...#.......#.....#.#.#...#.#.#.#.....#.#.#.#
+#.#####.###.#####.###.#.###.#.#.###.###.###.###.###.#.###.#.#.#.#######.#.#.#.#.###.#.###.#.###.#.###########.#####.###.#####.#.#####.#.#.#.#
+#.....#...#.....#...#.#...#.#.#...#...#...#...#.....#.#.....#.......#...#.#.#.#...#...#...#.#...#.#.....#...#.....#...#.......#.#...#...#.#.#
+#####.#.#.#.###.###.###.#.#.#.###.###.###.###.###.#.###.#.#.#.#####.#.###.#.#.###.###.#.###.#.###.#.###.#.#.#####.###.###.#####.#.#.#.#.#.###
+#.....#.......#.#.#...#.#.#...#.....#.#...#.#.#...#.....#...#.#.....#.#...#.#.#.......#.#.#...#...#...#...#.....#...#.....#...#...#.#.#.#...#
+#.#####.###.#.#.#.###.###.#.###.#####.#.###.#.#.###########.#.#.#.###.#.###.#.#####.###.#.#####.###.###########.###.#######.#.#.###.#.#.###.#
+#...........#.#.....#...#...#...#.#.........#.#...........#...#.#.....#.....#.#...#...#.#.....#...#.#.............#...#.....#.#...#.#...#.#.#
+#.#####.###.#######.###.#####.###.#.###.#####.###.#####.#.#.#.###.#####.###.#.#.#.###.#.#####.#.#.#.#.###.###########.#.#####.###.#.#.#.#.#.#
+#.#...#...#...........#.....#.....#.#.#.#...#.....#...#...#.#.....#.#...#...#...#.#.#.#.....#.#.#.#.#.#...#.........#...#...#.#...#.....#.#.#
+#.###.#.#.#.#############.#.###.###.#.#.#.#.#.#.#.#.#.#.###.#######.#.#####.#.###.#.#.#####.#.#.#.#.#.#.###.#######.#####.#.#.#.#####.#.#.#.#
+#...............#.......#.#.....#...#.#.#.#.#.#.#...#.#...#.#...#...#.#.....#.#.#.#.#...#...#...#...#.#...#.................#.#...#.......#.#
+#######.#######.#.#.###.#.#######.###.#.#.#.###.#########.#.#.###.#.#.#.#.###.#.#.#.###.#.#########.#.###########.#########.#.###.###.#.###.#
+#...#...#.#...#.#.....#.#...#...#...#...#.#...#.....#...#...#.#...#.#.#.#...#...#.#.#...#.#...#...#.#.........#...#.....#...#...#.......#...#
+#.#.#.###.#.#.#.#.#.#.#.###.###.###.###.#.###.###.#.#.#.#####.#.###.#.#.###.###.#.#.#.###.#.#.#.#.#######.###.#.###.###.#.#.###.#######.#.###
+#.#...#...#.#.#.#.#...#.#.........#...#.#...#...#...#.#.#.....#.#.#...#...#.....#.#.....#...#...#.......#...#.#...#.#.#.#.#.#...#...#...#...#
+#.#####.#.#.#.#.###.###.#############.#.###.###.#.#.#.#.#.###.#.#.###.###.#######.#####.#.#############.#.###.###.#.#.#.#.###.#####.#.#.###.#
+#.#.....#...#...#...#.#.........#.....#.#.#.#.#...#...#.......#.#...#...........#...#...#...#.....#...#.#.......#...#...#.....#...#...#...#.#
+#.#.#############.###.#########.#.#####.#.#.#.#.#.###.#####.###.#.#.#.#######.#.###.#.#####.#####.#.#.#.#.#.#########.#########.#.#.###.#.#.#
+#.......#.....#.....#...#.....#.#...#.#...#.....#...#...#...#...#.#...#.......#.....#...#.......#.#.#...#.#.........#...#.......#...........#
+#.###.#.#.#.#.#####.#.#.#.#.###.###.#.###.#####.###.###.#.###.#########.###############.#######.#.#.#####.#####.#######.#####.###.#####.#.#.#
+#.#...#...#.#...#...#.#...#...#...#.#.#.......#...#...#.#.....#.....#...#.#.....#.....#...#.......#.#.....#...#.......#...#...#...........#.#
+#.#.#######.###.#.###.#######.###.#.#.#.#########.###.#.#########.#.#.###.#.###.#.###.###.###.#####.#####.#.#.#####.#####.#.###.#######.###.#
+#.#.........#...#.....#.....#.....#.#...#.......#...#.#...#.......#...#.#...#.#...#.#.......#.#...#.....#...#.#...#.....#...#.#...#.........#
+#.###########.#####.#.#.###########.#####.###.#####.#.###.#.###########.#.###.#####.#######.###.#.#####.#####.#.#.#####.#####.###.#.###.###.#
+#...............#...#.#...........#.....#...#.#.....#...#...#.........#...........#...#...#...#.#...#...#...#...#.#...#.........#...#.....#.#
+#.###.#.#####.#.#.###.#####.#.###.###.#.###.#.#.#.#.###.###.#.#######.#####.#####.#.#.#.#.###.#.###.#.#.#.#######.###.#########.#.###.#.###.#
+#...#...#.#...#...#.#.....#.#...#...#.#.....#.....#.....#...#.#.....#.....#.#...#.#.#...#.#.....#.#...#.#.......#.....#...............#.#...#
+###.#.###.#.#.#####.#####.#####.###.#.#############.#.#######.#.###.#####.###.#.#.#.#.###.#######.#####.#.#.#########.#.#########.###.#.#.###
+#...#.....#.#...#.......#.......#.#.....#.....#...#.#.#.....#...#.#.#...#...#.#.#...#...#...#...........#.#...........#...#...........#...#.#
+#.#.###.###.#.#.#.#.###.#########.#.###.#.###.#.#.#.#.#.###.###.#.#.#.#.###.#.#.###.#.#####.#######.#.###.#########.#.###.#.#####.#####.###.#
+#.........#.#.#.#.#.#.....#.......#.#.#...#...#.#...#.#.#.#...#.....#.#...#...#...#...#.....#.......#.#...#.......#.....#.#.#.........#.#...#
+#.#.###.#.#.#.#.#.#.#######.#####.#.#.###.#.###.#.###.#.#.###.#.#####.###.#######.#.###.#####.#######.#.#####.###.#######.#.###.#.#####.#.#.#
+#...#...#.#...#...#...#...#...#...#.#.......#...#.#...#...#...#.#...#.#...#.....#.#...#.....#.....#...#.....#...#.#.....#.#.....#.#.....#.#.#
+#.###.#.#.###.###.#.#.#.#.###.#.###.#########.###.#.#####.#.###.#.#.#.#.#.#####.#.###.#####.#.###.#.#######.###.###.###.#.#######.#.###.#.#.#
+#.....#.#.......#.......#.....#...............#...#...#.#.#.....#.#...#.#.......#...#.#.#...#.#...#...#.........#...#.#...#.#.....#.#.....#.#
+#######.#####.#.###.#.#####.#.#################.#.###.#.#.#########.###.#######.#.###.#.#.#####.#######.#########.###.#####.#.###.#.#.#.###.#
+#.......#.....#...#.#.#...#...#...............#.#...#.#.#...#.....#.....#.....#.........#.#.....#.......#.....#...#...#.....#...#.#.#.#.....#
+#.#####.#.###.#.###.#.#.#########.#.#.###.#.###.#.###.#.###.#.#.#.###.#####.#.#.###.#####.###.###.#######.###.#.###.#.#.#.#####.#.#.#.#.#####
+#...#.....#.#.......#.#...........#.#...#.#.........#...#.#.#.#.#...#.....#.#...#.....#...#...#...#.......#.#...#...#...#.#.................#
+###.#.#.###.#.#.#####.#.#####.#####.###.#.#.#######.###.#.#.#.#.###.#####.###.###.###.#.###.###.###.#######.#####.#######.#.#######.#.###.#.#
+#...#.#...............#.#.....#.....#...#.#.#.......#...#.#.#.#.#.......#...#.#...#.#...#.........#.#.........#...#.......#.#.#.....#.....#.#
+#####.#.#####.#########.#.#####.#####.###.#.#.#####.#.###.#.#.#.#######.###.#.#.###.###########.###.#.#.#####.#.###.###.###.#.#.#####.#####.#
+#.....#.#.........#.....#.#.#...#.........#.#...#...#.#...#.#.#...#.#...#...#.#.#.........#...#.#...#.#...#...#...#...........#...#.......#.#
+#.#####.#.###.###.#######.#.#.#.#.#####.#.###.#.#.###.#.#.#.#####.#.#.###.#####.#.#.#.###.#.#.###.#######.###.###.#.#############.#########.#
+#.#...#...#.....#.....#...#.#...#...#...#...#.#.#...#.#.#.#.#.....#.#.....#.....#...#...#.#.#.....#.....#.........#.......#.#...#...#.......#
+#.#.#.#####.###.#####.#.###.#.#####.###.###.###.#####.#.###.#.#####.#####.#.###########.#.#.#######.#.#.###.#.###########.#.#.#.###.#.#####.#
+#.#.#.........#...#...#.#...#.#...#.#.....#...#...........#.#.....#.......#.#...........#.#.#.......#.#.......#...#...#.....#...#...#.#.#...#
+#.#.###########.#.#.###.###.#.#.#.#.#.###.###.#.###.#####.#.#####.#.#######.###.#########.#.#.#####.#.#######.#.#.#.#.#.#####.#.#.###.#.#.###
+#.#...#.........#.#.#.....#...#.#...#...#.#...#.#.........#.......#...#...#.#...#...#...#...#.....#.#.........#.#...#...#.....#...#...#...#.#
+#.###.#.#########.#.#####.#####.#####.#.#.#.###.#.###############.###.###.#.#.#.#.#.###.###########.###########.#########.#########.#.#.###.#
+#...#.#.........#.#.....#.....#.....#.#.#.#.#.....#.....#...#.........#.#...#.....#...#...........#...........#.#.....#...#.........#.#.....#
+#.###.#########.#.#####.#####.#####.#.#.#.#.#.#####.###.#.#.#.#.###.#.#.#############.#.#########.###########.#.#.###.#.#.#.#########.#####.#
+#.....#.......#.#.................#.#.#.#.#.#.#...#.#.#...#...#...#.#.#...............#...#...#.#.........#...#...#.#...#.#.......#...#...#.#
+#.#####.#######.###.###############.#.#.#.#.###.#.#.#.###########.#.#.###.#############.#.#.#.#.#########.#.#.###.#.###.#.#######.#.###.#.###
+#.......#.....#...#.#...#...........#.#.#.#.#...#.#.#...#.........#.#.#...#.....#.....#.#...#.#.............#.#.#.....#.#...#...............#
+#.#####.#.###.###.#.#.###.#############.#.#.#.###.#.#.#.#.#########.#.#.#.#.###.#.#####.#####.#.#####.#######.#.#.#.#.#.###.###.#.#######.#.#
+#.......#...#.#...#...#...#.........#...#.#...#...#.#.#.#...#.#.......#.#.#...#.#.....#.....#.#.#...#...#...#...#.#.#.#.#.#...#.....#...#.#.#
+#.#########.#.#.#####.#.#######.###.#.###.#####.###.#.###.#.#.#.#####.#.#####.#.###.#.#####.#.###.#.#####.#.#####.#.###.#.###.#######.#.#.#.#
+#.#.....#...#...#...#.#.......#.#.#...#.#.#...#.....#...#.......#.....#.......#...#.#...#...#.#...#...#...#...#...#.....#...#.#.......#.#.#.#
+#.#.###.#.#.###.#.#.#.#######.#.#.#####.#.#.#.#######.#.#.###.###.#####.#########.#####.#.###.#.#####.#.#####.#.###.#####.###.#.#######.###.#
+#.#.#.....#.#.....#.#.#.........#.#.....#...#.#.....#.#.#...#.....#...#...#...#.#.....#.....#.#.#...#...#...#.#...#.......#...#...#...#.#...#
+#.#.#.#######.#####.#.#.#.#######.#.###.#####.#.#####.#.###.###.###.#.###.#.#.#.#####.#####.#.#.###.#.#.###.#.###.###.###.#.#####.#.#.#.#.###
+#.......#...#...#.#.#.#.#.........#...#.........#.....#...#...#.#...#...#...#.#.....#...#.#.#.#.....#.......#...#...#.#...#.#.....#.#...#...#
+#.#.#####.#.###.#.#.###.###.#.#####.#.#########.#.#.###.#####.#.#.###.#.#####.#.###.###.#.#.#.#####.#####.###.###.#.###.#.#.#.#####.###.#.#.#
+#.#.#.....#...#...#.#.......#.#.....#.#.#.......#.#...#.....#...#...#.#...#...#...#.#.#.#.#.#.....#.#.......#.#...#.#...#.#.#.#.......#...#.#
+#.###.#######.###.#.#.#####.###.#.###.#.#.#.#.###.#.#.#####.#######.#.###.#.#.###.#.#.#.#.#.#####.#.#.#####.#.#.#.#.#.#.###.#.#.#####.#.###.#
+#.....#.....#.....#.....#...#...#.#...#...#.#.#...#.#.....#...#.#...#...#.#.#.....#...#.#...#...#.#.#.#.....#...#.#...#.#...#.#.....#...#...#
+#######.#.###############.#.#.###.#.#######.#.#.#####.###.#.#.#.#.#####.#.#.###.#######.#.###.#.#.#.###.#####.###.#####.#.###.#####.###.#.###
+#.....#.#.............#...#.#...#.#...#.....#.#.....#.#.#.#.#...#.....#.#.#.....#.......#.#.#.#...#.....#...#.........#.#.#.....#.......#...#
+#####.#.#.###.#######.#.#######.#.###.#.#####.#####.#.#.#.#.###.#####.#.#.#####.#.#######.#.#.#######.###.#.#####.#####.#.#.#.#.#######.###.#
+#.....#...#...#...#...#.........#...#.#.......#...#...#...#...#.#.....#.#...#.#.#...#...#...#.............#.....#.........#.#.#...#...#.....#
+#.###.###.#.###.#.#.#.#############.#.#.#####.#.#.#####.#####.###.#####.###.#.#.###.#.#.###.###########.#######.#########.#.#.###.#.#.#.#####
+#...........#...#.#.#.....#...#...#...#.#...#...#...#...#...#...#...#...#.....#.#.#.#.....#.#.....#...#.#...#.#.......#...#.....#...#...#...#
+#.#######.#.#.###.#.#####.#.#.#.#.#######.#.#.#####.#.###.#.###.#.###.#########.#.#.#.###.#.#.#####.#.#.#.#.#.#####.#.#.###.#########.#.#.#.#
+#.....#...#.#...#.#.......#.#.#.#.........#.#...#...#.....#.#.#...#...#.....#...#.#...#.#.#...#.....#.#...#.#.......#.....#...#.....#.#...#.#
+#####.#.#.#.#####.#######.#.#.#.###.#.#####.#####.#########.#.#.###.#.#.###.#.###.#####.#.#####.#####.#####.#######.#.###.#####.###.#.#.###.#
+#...#...........#.#...#...#.#...#.#...#.........#.....#.....#.....#.#.#...#.#.#.........#.......#...#.....#.......#.#.....#.....#.#.#.....#.#
+#.#.#####.#.#.#.#.#.#.#.###.#####.#.#####.#####.#####.#.#.#####.###.#####.#.#.#.#######.#.#########.#.###.#######.#.#######.#####.#.###.###.#
+#.......#.#.#.#.#...#...#.#.#...#.#.....#.....#.......#.#.....#...#.....#.#...#.....#.#.#...........#.#...........#.......#.#...#.....#.....#
+#.#####.#.###.#.#.#######.#.#.#.#.#####.#.###.#########.#.###.###.###.###.#########.#.#.#.#####.#####.#.###########.#.###.#.#.#.#####.#.###.#
+#.#...#.#.#...#.#.......#.#...#...#...#.#.#.#...........#...#.....#.#.#...#.........#...#.#.#...#.....#...#.......#...#.#.#.#.....#.#.#.#...#
+#.#.#.#.#.#.###.#.#####.#.#######.#.#.#.#.#.###############.#####.#.#.#.###.###.#####.#.#.#.#.###.###.###.###.#.#.#.###.#.#.#.###.#.#.#.###.#
+#...#...#.#.#.#...#...#...#.......#.#.....#...............#.....#...#...#.#.#...#.....#.#.#.....#.#.#...#...#.#.#...#.....#.#.....#.#.......#
+#.#####.#.#.#.#.###.#.###.#.#######.#.#####.#.###########.#.###.#####.###.#.#.###.#####.#.#.#####.#.###.###.###.#####.#####.###.#.#.#.###.#.#
+#.#...#...#.#.#.....#...#.#.........#.......#.......#.......#.#.........#...#.#...#.....#.#...#...#.......#...#.#.....#.......#.#.#.#.#...#.#
+#.#.#.###.#.#.#########.#.#####.###.#########.#.#####.#####.#.#######.###.###.#.###.#####.#.###.#.#######.###.#.#.#####.#######.#.#.#.#.#####
+#.#...........#...#.#...#...#...#...#...#.....#.......#.............#.#...#...#...#.......#.#.....#.........#...#...#...........#.#...#.....#
+#.#.#.#######.#.#.#.#.#.###.#.###.###.###.#############.#############.#.###.###.#.#.#########.###.#.#.#####.#######.#.###########.#.#.#.###.#
+#...#.#.....#...#.#.#...#...#.#.....#.#...#...........#.#...........#.#.#.#.#.#.#...#.....#...#...#.#.....#...#...#.#.#...#...#...#...#...#.#
+#.###.#.#.#######.#.###.#####.#.###.#.#.###.#####.###.###.#####.#.#.#.#.#.#.#.#.#####.###.#.#.#####.#####.#####.#.#.#.#.#.#.###.#####.#####.#
+#...#.#.#.......#...#.#.#...#.#.#...#.#...#...#.......#...#.....#.#...#...#.#...#...#.#.....#.#.....#.....#...#.#...#...#...#...#...........#
+#####.#.#######.#.#.#.#.#.#.#.#.#.###.###.###.###.#####.#####.###.#####.#.#.###.#.#.#.#########.#####.###.#.#.#.#######.###.#.###############
+#.....#.#...#...#...#.#.#.#.....#.#.........#...#.#...#.....#.....#.....#.#...#...#.#.#.........#...#.#...#.#...#...#.....#.#.#.............#
+#.###.#.#.#.#.###.###.#.#.#####.#.#########.###.#.#.#.###.#.#######.#.###.###.#####.#.#.###########.#.#####.#######.#.#.###.#.#.###########.#
+#...#.#.#.#.#.....#...#.#...#...#.........#.#...#...#...#.#.......#.#.....#.#.#.....#...#.....#.....#.......#.....#...#.#...#.......#.......#
+#.#.#.#.#.#########.#.#.###.#############.#.#.#########.#.#######.#.#######.#.###############.#.#.###.#######.###.###.#.#.#########.#.#.#.#.#
+#.#.#.#.#...........#.#...#.#...#.......#.#.#.#.....#.#.#.......#.....#.........#...........#...#.#.........#...#...#.#...................#.#
+#.#.###.#.#######.###.###.#.#.#.#.#####.#.#.#.#.###.#.#.###.#########.#.###.###.#.#.###.###.#####.#.#####.#.###.#.#.#.#########.#.#.#.#.###.#
+#.#.....#.#.....#.#.....#.#.#.#...#...#.#.#.#...#...#.#.#...#.......#...#.#...#...#.....#.#.#...#.......#.#.#...#...#.#.........#.#...#.#...#
+#.#######.#.###.#.###.#.#.#.#.#####.###.#.#.#.###.###.#.#.###.#####.#####.###.#####.###.#.#.#.#.#####.###.#.#.###.#####.#########.#######.#.#
+#...#.....#.#...#...#...#.#...#...#.....#.#.#...#.#.....#...#.#...#.#...#.........#.#.#.....#.#...........#...#.#.......#.......#.....#...#.#
+###.#.#####.#.#####.###.#.#######.#.#####.#.#####.#.#####.###.#.###.###.#.#####.###.#.#.###.#.#############.#.#.#########.#####.#####.#.###.#
+#.#.#.....#.#.#...#...#.#...#.....#.#.....#.......#...#...#...#.......#.........#...#.#.#.......#.........#...#.....#.....#.#...#.....#...#.#
+#.#.#####.#.#.#.#.###.#####.#.#.#.#.#.#.###########.#.#.###.#########.#######.#.#.###.#.#.#.###.#########.#######.#.#.#####.#.###.#######.#.#
+#...#...#.#.#...#.#...#...#.#.#.#.#.#.#.#...#.........#.#...#.....#...#.....#...#...#...#.#...#.#...#.......#.....#...#.......#...#.......#.#
+#.#.#.#.#.#######.#.###.#.#.#.#.###.#.#.#.#.#######.#.###.###.###.#.###.###.#######.#.###.#.#.#.#.#.#.#####.#.#########.#######.###.###.###.#
+#.#...#.#...#...........#.........................#.....#...............#.#.........#.#...#.#.#...#.#...#.#.#...#.....#.#.......#.....#...#.#
+#.#.###.###.#.###.###.###.###########.#.#.#######.#.###.###.###.#.#.#.###.###########.#####.#.###.#.#.#.#.#.###.#.#####.#.#######.#######.#.#
+#...#...#...#.#.#.#...#.........#...#.#.#.....#.#.....#...#.#...#.#...#.............#.#.....#...#.#.#.#.#.......#.......#.........#.......#.#
+###.#.###.###.#.#.#.#.#.#######.#.#.#.#.#####.#.#####.###.#.#.#.#.#######.#####.#.###.#.#.#.###.#.#.###.#######.#####.#####.###.#.#.#######.#
+#...#.#.#.....#...#.#...#.....#.#.#...#.#.........#...#.#.#.....................#...#...#...#.#.#.#...#.....#.#.#...#.......#...#.#...#...#.#
+#.#.#.#.#.#####.###.#.###.###.#.#.#######.#######.#.###.#.###.#.###.#.#.###.#.###.#.#######.#.#.#####.#.###.#.#.#.#.#######.#.#######.#.#.#.#
+#.....#...#...#...#.#.....#...#.#.........#.....#.#.#.#...#.......#...#...#.#...#.#...........#.....#.#...#.#...#.#.......#.#...#...#...#.#.#
+#.#.#######.#.#####.#.#.#####.#.#####.#####.###.###.#.#.###.#.###########.#.###.#.#####.###.#.#####.#.###.#.#####.#######.#.#.#.#.#.#####.#.#
+#.#.....#...#.#.....#.#.#...#.#.....#.....#.#.#...#.#.#...#...#.......................#...#...#...#.#...................#.#...#.#.#.#.......#
+#.###.#.#.###.#.#####.#.#.#.#######.#######.#.###.#.#.###.###.#.#######.#####.###.#.#.###.#.###.#.#.###.#.#.#.#####.###.#.#####.#.#.#.#####.#
+#S....#...#.....#.....#...#.................#.......#...........#.............#.....#...#.......#.....................................#.....#
+#############################################################################################################################################

2024/d17/ex1/ex1.py

@@ -0,0 +1,107 @@
+#!/usr/bin/env python
+
+import dataclasses
+import enum
+import sys
+
+
+@dataclasses.dataclass
+class Registers:
+    reg_a: int
+    reg_b: int
+    reg_c: int
+
+
+class Instruction(enum.IntEnum):
+    ADV = 0
+    BXL = 1
+    BST = 2
+    JNZ = 3
+    BXC = 4
+    OUT = 5
+    BDV = 6
+    CDV = 7
+
+
+@dataclasses.dataclass
+class Computer:
+    registers: Registers
+    program: list[int]
+    ip: int = 0
+
+    def _resolve_combo_operand(self, operand: int) -> int:
+        assert operand != 7  # Sanity check
+        if 0 <= operand <= 3:
+            return operand
+        if operand == 4:
+            return self.registers.reg_a
+        if operand == 5:
+            return self.registers.reg_b
+        if operand == 6:
+            return self.registers.reg_c
+        assert False  # Sanity check
+
+    # Returns False if the computer is halted
+    # `output` is an out parameter
+    def step(self, output: list[int]) -> bool:
+        # NOTE: also accounting for operand in overflow check here
+        if (self.ip + 1) >= len(self.program):
+            return False
+
+        instr, literal_operand = (
+            Instruction(self.program[self.ip]),
+            self.program[self.ip + 1],
+        )
+        combo_operand = self._resolve_combo_operand(literal_operand)
+
+        ip_delta = 2
+        match instr:
+            case Instruction.ADV:
+                self.registers.reg_a //= 2**combo_operand
+            case Instruction.BXL:
+                self.registers.reg_b ^= literal_operand
+            case Instruction.BST:
+                self.registers.reg_b = combo_operand % 8
+            case Instruction.JNZ:
+                if self.registers.reg_a != 0:
+                    self.ip = literal_operand
+                    ip_delta = 0
+            case Instruction.BXC:
+                self.registers.reg_b ^= self.registers.reg_c
+            case Instruction.OUT:
+                output.append(combo_operand % 8)
+            case Instruction.BDV:
+                self.registers.reg_b = self.registers.reg_a // 2**combo_operand
+            case Instruction.CDV:
+                self.registers.reg_c = self.registers.reg_a // 2**combo_operand
+        self.ip += ip_delta
+
+        return True
+
+
+def solve(input: str) -> str:
+    def parse_registers(input: list[str]) -> Registers:
+        def parse_register(input: str) -> int:
+            return int(input.split(": ")[1])
+
+        return Registers(*map(parse_register, input))
+
+    def parse(input: str) -> Computer:
+        registers, program_str = input.split("\n\n")
+        program = list(map(int, program_str.removeprefix("Program: ").split(",")))
+        return Computer(parse_registers(registers.splitlines()), program)
+
+    computer = parse(input)
+    output: list[int] = []
+    while computer.step(output):
+        pass
+    return ",".join(str(n) for n in output)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d17/ex1/input

@@ -0,0 +1,5 @@
+Register A: 30886132
+Register B: 0
+Register C: 0
+
+Program: 2,4,1,1,7,5,0,3,1,4,4,4,5,5,3,0

2024/d17/ex2/ex2.py

@@ -0,0 +1,135 @@
+#!/usr/bin/env python
+
+import copy
+import dataclasses
+import enum
+import sys
+
+
+@dataclasses.dataclass
+class Registers:
+    reg_a: int
+    reg_b: int
+    reg_c: int
+
+
+class Instruction(enum.IntEnum):
+    ADV = 0
+    BXL = 1
+    BST = 2
+    JNZ = 3
+    BXC = 4
+    OUT = 5
+    BDV = 6
+    CDV = 7
+
+
+@dataclasses.dataclass
+class Computer:
+    registers: Registers
+    program: list[int]
+    ip: int = 0
+
+    def _resolve_combo_operand(self, operand: int) -> int:
+        assert operand != 7  # Sanity check
+        if 0 <= operand <= 3:
+            return operand
+        if operand == 4:
+            return self.registers.reg_a
+        if operand == 5:
+            return self.registers.reg_b
+        if operand == 6:
+            return self.registers.reg_c
+        assert False  # Sanity check
+
+    # Returns False if the computer is halted
+    # `output` is an out parameter
+    def step(self, output: list[int]) -> bool:
+        # NOTE: also accounting for operand in overflow check here
+        if (self.ip + 1) >= len(self.program):
+            return False
+
+        instr, literal_operand = (
+            Instruction(self.program[self.ip]),
+            self.program[self.ip + 1],
+        )
+        combo_operand = self._resolve_combo_operand(literal_operand)
+
+        ip_delta = 2
+        match instr:
+            case Instruction.ADV:
+                self.registers.reg_a //= 2**combo_operand
+            case Instruction.BXL:
+                self.registers.reg_b ^= literal_operand
+            case Instruction.BST:
+                self.registers.reg_b = combo_operand % 8
+            case Instruction.JNZ:
+                if self.registers.reg_a != 0:
+                    self.ip = literal_operand
+                    ip_delta = 0
+            case Instruction.BXC:
+                self.registers.reg_b ^= self.registers.reg_c
+            case Instruction.OUT:
+                output.append(combo_operand % 8)
+            case Instruction.BDV:
+                self.registers.reg_b = self.registers.reg_a // 2**combo_operand
+            case Instruction.CDV:
+                self.registers.reg_c = self.registers.reg_a // 2**combo_operand
+        self.ip += ip_delta
+
+        return True
+
+
+def solve(input: str) -> int:
+    def parse_registers(input: list[str]) -> Registers:
+        def parse_register(input: str) -> int:
+            return int(input.split(": ")[1])
+
+        return Registers(*map(parse_register, input))
+
+    def parse(input: str) -> Computer:
+        registers, program_str = input.split("\n\n")
+        program = list(map(int, program_str.removeprefix("Program: ").split(",")))
+        return Computer(parse_registers(registers.splitlines()), program)
+
+    # Rely on the shape of the input, which reads 3 bits of reg_a at a time
+    def find_quine(computer: Computer) -> int:
+        def is_quine(a: int, n_outputs: int) -> bool:
+            if n_outputs == 0:
+                return True
+            tmp = copy.deepcopy(computer)
+            tmp.registers.reg_a = a
+            output: list[int] = []
+            while tmp.step(output):
+                pass
+            return output[-n_outputs:] == computer.program[-n_outputs:]
+
+        def helper(a: int, n_outputs: int) -> int | None:
+            # If not a quine of the correct length, abandon this candidate
+            if not is_quine(a, n_outputs):
+                return None
+            # If we've found all digits, return the candidate
+            if n_outputs == len(computer.program):
+                return a
+            # Try to find a longer quine, starting from this candidate
+            for next_a in range(a * 8, a * 8 + 8):
+                # We found a full quine, guaranteed to be the smallest value
+                if (res := helper(next_a, n_outputs + 1)) is not None:
+                    return res
+            return None
+
+        res = helper(0, 0)
+        assert res is not None  # Sanity check
+        return res
+
+    computer = parse(input)
+    return find_quine(computer)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d17/ex2/input

@@ -0,0 +1,5 @@
+Register A: 30886132
+Register B: 0
+Register C: 0
+
+Program: 2,4,1,1,7,5,0,3,1,4,4,4,5,5,3,0

2024/d18/ex1/ex1.py

@@ -0,0 +1,66 @@
+#!/usr/bin/env python
+
+import heapq
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+    def neighbours(self) -> Iterator["Point"]:
+        for dx, dy in (
+            (-1, 0),
+            (1, 0),
+            (0, -1),
+            (0, 1),
+        ):
+            yield Point(self.x + dx, self.y + dy)
+
+
+DIMS = Point(70, 70)
+
+
+def solve(input: str) -> int:
+    def parse(input: list[str]) -> list[Point]:
+        return [Point(*map(int, line.split(","))) for line in input]
+
+    def djikstra(start: Point, end: Point, blocks: set[Point]) -> int:
+        # Priority queue of (distance, point)
+        queue = [(0, start)]
+        seen: set[Point] = set()
+
+        while len(queue) > 0:
+            cost, p = heapq.heappop(queue)
+            if p == end:
+                return cost
+            # We must have seen p with a smaller distance before
+            if p in seen:
+                continue
+            # First time encountering p, must be the smallest distance to it
+            seen.add(p)
+            # Add all neighbours to be visited
+            for n in p.neighbours():
+                if p in blocks:
+                    continue
+                if not 0 <= p.x <= DIMS.x:
+                    continue
+                if not 0 <= p.y <= DIMS.y:
+                    continue
+                heapq.heappush(queue, (cost + 1, n))
+
+        assert False  # Sanity check
+
+    coords = parse(input.splitlines())
+    return djikstra(Point(0, 0), DIMS, set(coords[:1024]))
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d18/ex2/ex2.py

@@ -0,0 +1,78 @@
+#!/usr/bin/env python
+
+import heapq
+import sys
+from collections.abc import Iterator
+from typing import NamedTuple
+
+
+class Point(NamedTuple):
+    x: int
+    y: int
+
+    def neighbours(self) -> Iterator["Point"]:
+        for dx, dy in (
+            (-1, 0),
+            (1, 0),
+            (0, -1),
+            (0, 1),
+        ):
+            yield Point(self.x + dx, self.y + dy)
+
+
+DIMS = Point(70, 70)
+
+
+def solve(input: str) -> str:
+    def parse(input: list[str]) -> list[Point]:
+        return [Point(*map(int, line.split(","))) for line in input]
+
+    def djikstra(start: Point, end: Point, blocks: set[Point]) -> int | None:
+        # Priority queue of (distance, point)
+        queue = [(0, start)]
+        seen: set[Point] = set()
+
+        while len(queue) > 0:
+            cost, p = heapq.heappop(queue)
+            if p == end:
+                return cost
+            # We must have seen p with a smaller distance before
+            if p in seen:
+                continue
+            # First time encountering p, must be the smallest distance to it
+            seen.add(p)
+            # Add all neighbours to be visited
+            for n in p.neighbours():
+                if p in blocks:
+                    continue
+                if not 0 <= p.x <= DIMS.x:
+                    continue
+                if not 0 <= p.y <= DIMS.y:
+                    continue
+                heapq.heappush(queue, (cost + 1, n))
+
+        return None
+
+    def bisect_cutoff(start: Point, end: Point, blocks: list[Point]) -> Point:
+        # Cutting off the path is monotonic: once cut-off, it's never uncut
+        low, high = 0, len(blocks)
+        while low < high:
+            mid = low + (high - low) // 2
+            if djikstra(start, end, set(blocks[: mid + 1])) is None:
+                high = mid
+            else:
+                low = mid + 1
+        return blocks[low]
+
+    coords = parse(input.splitlines())
+    byte = bisect_cutoff(Point(0, 0), DIMS, coords)
+    return f"{byte.x},{byte.y}"
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d19/ex1/ex1.py

@@ -0,0 +1,32 @@
+#!/usr/bin/env python
+
+import functools
+import sys
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> tuple[frozenset[str], list[str]]:
+        towels, patterns = input.split("\n\n")
+        return frozenset(towels.split(", ")), patterns.splitlines()
+
+    @functools.cache
+    def is_possible(pattern: str, towels: frozenset[str]) -> bool:
+        if pattern == "":
+            return True
+        return any(
+            is_possible(pattern.removeprefix(towel), towels)
+            for towel in towels
+            if pattern.startswith(towel)
+        )
+
+    towels, patterns = parse(input)
+    return sum(is_possible(pattern, towels) for pattern in patterns)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d19/ex1/input

@@ -0,0 +1,402 @@
+wwubu, guw, uguggg, bgr, rgbrg, bbrb, rwgru, bwgr, uwwbuw, rwrbrgb, ggbrbuur, bb, ugu, grurrr, gbwbwb, rgbrb, bgrwrbu, bgb, wrwu, rwwr, wubr, bug, wu, brwu, w, grbw, uwbgg, gggwrggb, rurgr, uuw, bbw, wbg, bgw, ugw, brb, uww, buww, uuwgr, buu, rrbugw, ggggbgug, wwwrbbr, rgbbr, ugrr, wgwrg, bwuubub, uugg, bbrgg, bbugw, wuuwb, uwr, bugww, rwrrbbr, ugwrrrb, ubbr, rrwbgg, wb, wgr, gbrb, gwgg, rbg, bub, brg, bubr, ugggw, uuugbbb, grbug, rbww, rg, wgwwwwg, wgb, brugbbb, wgrww, bbrgrurg, ruu, brr, grgwg, wurbb, bww, ubwgr, bburwurb, urrrrbb, rgg, wwww, gbgw, rbrb, buw, wur, ruugugb, uwugg, rgrrugub, ggg, ggr, wrurr, bgg, uuru, brbg, rrbb, bbr, gbbu, grug, rwrrug, ggubub, ggrgg, uu, grb, rrrwwbg, ubbg, wgwwrgbr, rbug, rwrgwbrb, wubwgu, rrw, ruw, rbwubwgr, wwugg, bbbu, wgwr, rwgb, ruwg, rrrb, ubw, rwgw, wbr, uwgrb, rbwrrrru, guwbwg, rgbwr, wbu, ubgu, uruug, urbuuruw, rug, wg, gugbw, brw, wgrb, rbwu, wrw, bgggr, rubu, ur, uggrur, ggwbbuwu, gggr, gwu, bbwb, rrru, rubgb, wub, rgb, rbur, wuwbb, rbb, bwb, wwr, wubrwb, bwwwg, wwbwww, ugrrurw, grg, gwuw, uwwww, ubgb, gwr, gwuurgg, grwuu, gbru, rbbrrg, r, rgbrrg, ugrrubr, bw, wwbwbg, brbwbwr, rrrbg, rggb, bgwu, rrgrwwb, wrgrrb, grw, ubu, wgrugw, bbrugug, wubuwrb, gbrr, rrbg, bbg, bgrwg, urwu, uug, gruruwb, bur, rbwrguw, gbbuw, wubbr, gwurrw, rurr, gwrubb, wwwrw, wrwrbbr, ubbru, gbr, rwg, rrgwgr, ugrwwg, wwbgbr, wwubuwu, uwbb, gggbb, bru, uwb, bgru, wgu, gbrgr, urrwb, ub, u, bgrug, rrwr, bguug, gwbb, uuu, brubwg, bwrwbu, ruggur, gggww, rgu, ug, gur, wgurgwb, uuwwb, wbwgr, gbrg, rru, uuwurrr, rbgbw, ubgwgw, wgwbgu, brbwgg, uwwgw, rgww, buuu, uwu, wrgug, gug, rr, gggwb, bgu, grwg, wrwr, uub, gbuwwrwr, bgug, bwg, ubg, urrb, bbgggw, uuurb, ggw, wgrbwrg, bguw, brrrb, gwrbr, brbw, ggrrbu, uru, wrrbg, ubr, ggrr, ww, wwbgwwr, bgrr, wugbrwg, rrrrg, rww, wrbg, ubur, gwb, rgw, bubgbw, gbb, buuuuur, wwu, uubwww, buwg, ugbg, wgrwbub, wurwuu, bbu, wuru, ggu, wguwgr, gbw, gub, grr, rubgw, urrurb, wbubrr, grgwwb, gbwwru, urb, ruuw, urr, gu, bwrbwg, wrr, wru, wug, wbuwwwwg, guugu, brwurrb, brruuw, wuuuu, rbu, gwg, bgwg, rgr, bbrw, bu, gbbg, bbub, bwr, buur, wrgg, wwuurbug, bgbu, ruburubr, bwurbr, rbr, wgw, gwwug, rruu, wubgg, bwwg, wgwbwu, gwrr, wbbrrb, rwbgbbbr, gr, rwuw, rggbur, gbu, uggb, gwgr, guggbuu, gugw, brgww, wuw, rbubgbu, wgwbrb, g, urbb, gb, gbwu, uuug, ggrbbw, wbrrww, wbw, ugb, gbg, ugr, ggwww, rwr, rbrbw, wrg, wwbr, uggu, rrg, gwguuuuu, bbwuur, rgru, bburww, bbbg, wbb, uuugww, bwgg, bgggw, rugbr, wugrbwr, urw, bwu, uur, gggwrw, buwr, rrr, wwb, wgbw, urg, uwgbw, gru, bgbgurw, rwrrgbub, rwrw, buuug, wggbrgw, guu, bruuubw, gw, wuu, rrb, uuuwg, uwbugu, ugbbrr, wr, uw, ruwbw, wwg, ubru, guub, wrrwg, www, bbuuuw, guruub, wwbrwu, rwgbuu, rguruww, bgggrwr, bg, uwuwr, ugwub, ubgbu, ubbur, rub, gww, rw, urrbbbbu, urrbb, wuwu, ubuggww, bbbwg, ubugg, grgb, rwu, rugbug, ugg, wgg, gg, ru, wruw, wrrwuw, rubg, rbw, rwgwr, uuruu, ubb, ggb
+
+uwgwguuguruwggwbrbwurruwgwwwurgbgwggwwbbubgugguuurgugugwu
+gwwggrgbwbbguwgbguubbwrbgurgbburrgbwruwgurgwgguwbwgbgrr
+rgggbwgwgwuubwbwrrbrrrurwuwurgubuwrbwrbbbbr
+rguruururrwbbrgrbgrbwggrubbggbrbrugrgugggurubrbuuw
+rruggbrruruggubguwrubwbwuwgrwrguuurbrrbbbggbrwg
+wbwurbbrggubugbrgrrbuuwubwurrwururgbgbwurubbuuwbuw
+brbwrrruwrrrubrwuugrbuuwuuwrwrbrrgububwurugbwwrb
+rbbbuurubwubbuguggrgwgwgurburugugwbgbuwbwwrrgugg
+wrbbugrwgwubgugwrruggwwggurrwuugrwrwbrwgrww
+gbwbugwgrubbbbburrbwugbwuugrbbwrrwbgrwubgwgbbb
+urgrwbruurbbururwrwwbbubgwbwurbwguguwgrbrgugugwrburb
+wubuubwggrgwgbgububrwgwbbubgwgbwwwuubrbbbuwbr
+wrrrrurbwubwuuggwguuwwwububrwrruwurrbbbuubggwgrgwugwu
+brurwwrbbuwgugbruurgrrgbuuwrbwrugurrwrurrrbbwrwbrrgrwuwg
+urgwuwwbwwrbbwbwgwgrrbrwgubbrbgwububbwurggbrgrggbrggrrrwgg
+uugwrbwguuwwgbwwwburburbwburwgwguwggwggwbbbuburrubgbbguugg
+wbwbguuuuubwwbwgrwbwgguguwgbbggwwwurgrwgrgbgggurbuwugwrbu
+uubwuwuuwggbbruwuwbwbgwbwrrguwurubbguwwgbug
+bwwgwwubbrrrrwuubwbwrruurrwwwwggbgbrwububwwurbggwuwbgu
+bruwgrwwbrwbgruubwbbbugwrbbgwguuwguurbrwrb
+grbgwuwwrbgrwgrwurrwbbuwwwwwbrbburrbrwbuggrgwbwrb
+wgggrubbbwwgwgggwruururugbrguburrwuwwurgggubrbwwgrwrb
+wurbwrwwugrgrgruruuggbbggubwrurbrgrbwwrbrrw
+uubuwwurrrrurubbbrrugugubgbruubbrwbuwugrwwgwrrbrwggwrb
+ggbuwrwwwbbrgruugrrbrbuurwgurwgubrggguwbubrrbbwgwrb
+ugwgurwrwwbrrbwrrrruwbgrwrurrrrrgugurwbuuubbubwwbgrrrbwrb
+urwrbbrbwgurbuwrgrurgwggubbwubuggrgbuwgurbbwwbbwwubwrurgrw
+bbugbwrwrrrwbgugbgguuwwbrwbbwgurubrgugrgwurrbb
+uburggbrbuurrbbggububwbuuubgwrruugbrrbuuwb
+rrwuwubggwrwruwrgrrwrwubwwrbbbuggbrggurubwubwbuggwu
+rwwuuubguwgwuwgwwwggwbwrubbrguuubrurbwuggubwbruwrb
+ruugbuurwwwwrwuwurrrbrubugubwrwwwgbwbrbgbwb
+wrurbuuruwrbwgrbgbbwgwrwrrrwgwrurbrbuwrwwgbgwgrwgu
+bbruguugubrrgrgurwwggwurwbgwbwbbuugwwrbwubwgrwrb
+bbwgrrugwgrbgwbbugugwuubrbrbrbbrrrggurgbbwwuwrbbuwbgw
+rbgbwburggggrbwubbrrrrggbuwbguggrrbuwbgugbbrgwrb
+ubgwuwbbgbubrgbububwuwbbbburwurbwbbuburwrb
+bbgubwgruwbuwbwrwrurbrbrubuwbgrugwbbggbwgrwrburguggwwg
+uwuubwuwgbuurbugubbgguburbugugrrwbrrurgwrwgrgbb
+wwuuugrwuwurbgwwbrbwguwugbgrbgwwbgrgbubrrgrbbgwrggwgrwgruu
+bbbwurgwwbwurwubbugrwbwbgbwrbwrwububbgbgurwwruwrwrrggrugr
+bubuwbbwrgrwuggbgrgwbbwruubggubuwguwgrbrrguwgwubbbbubugw
+wbwbguwgbrgwgwrrurwwrrrgbrwubrgwbwguwbwwuwgugwgrbbubgru
+bwbrbwbrbubbwwbgwwuwgwwgggrrgwbubbubwwwugrgwgr
+wgwwwwurwubuugruwbrrguwgubwwbuuwruugbwrubr
+rgbbbwrgburwuwwbwubwruubgguwbrbwbwrwurbggbwbrugwgrubrgbbur
+gguwwggubgrgrgrwuubruuurubrbrruwgrrwrwuwgrwwburwuwrg
+uwbgrrwbbggrwwgguwbbgbbrugruugbgrbuwgbugwrb
+guurgurbwbbrugrbuugbgruwgburwrwwrbgbrrrgbwbuwrb
+uuwuggwrwgbgbuguruwrgbrbrubgrgugwbrugwrgubbrwuwrb
+rwgguuubwrbbrbubbgwwgrgbbrrrgggbururgwgbwgugwgbgbrbbb
+grwwrwbbruwubgbwuuubwgubguruugubbwggrgurrbwurgubbggwb
+bwuwbggbwbgwbruuggruurrwrwgubbwrrubrwwbgubguwrb
+rbwbbrgrwgbgwgbwrrurgbrwgwurrwbrwwuwrgugrbgrugrgubbwrb
+wbbgwgbwrubuwgurwbwbugwguwwwgbuwgruguwbgbgbuubwuwgwubgrbww
+uwwbwrbubgbwwuwwubbgbgubwwwgwugrgugrwwwgwbubrguggbrgrbrgg
+wbwuwgrwwguwgurwwurwubgwuwugrbbggbrruuwbgurrru
+gbugwgrurugwrrggbrbubrugggwggbubwbwrubububgbwrgwuurugwrb
+gugrgwugubwuwbbbuurrwwrubbwwwguguwwbbruuugbrwwwuwuw
+rwbbgbugrgburrggrgwgubggwwruuggubururggrbwrb
+rgggggrbbrgrrugwwwgwbwbbrrbrburbwbwwrrgrbuugrruwbbuwrb
+ubbuurgrwwwuwbwwbgguurbbbgwbuugwgwuggrrbugguruwwrgbgggbbuwrb
+bwuruwwubgubbggrruwgbbgggwrruubgurbrbuuubrgbwub
+rbubbggrbwbgwwrrbbggubwwurwgrgwubgrgrrbwrb
+gwwbgwubrububgwrurwgurbbuuubwugggbrrwuuwru
+wguggrbbbwgrbrwwggrurwbggwgbrgggrwggugbrgwgg
+uuguuwwrguwrrggugbwwgwuwrguwbguwuurbwbwrggwguwrubwrb
+ruuubbgrgrrrgbbrbgbrbubgbubwguububuugubgrugbgrgwrgwrwruggw
+ruurrbwrbgubbuwggguwbwububrbwgrubbwgugwrb
+bbgbugbrubwggbrrwwuwrwwwwrwbgbbggrrwbguwrbwrb
+brbugwrwrbwwwguwrgrrrggugwwruwburugurrgrurbguwguwwbrubu
+wbwubgbubwwgrrggrbbgwruwrrugwwrwuuggbuuwburbrugbguwrwrb
+uugbuuwwburgbgruuruguuuwrbwurwggbbwrrbgrurbwub
+grrwguwurwwuwgguuugurwrgurrwgrgugrurururwrb
+wwrbuwwwwrbbgwgwbgrurburbbwbgwuugbuwuuwwuuwbbuww
+gggrbrwrugrrurwugwgbgugrruwrrruurbwuubbuuruuub
+rwuguwurugbrububbrggrwrwururwuwuwbrwwgurwgrrrrbrururrwbgbwrb
+rwbbgrbbwgbrbbgugggwwububugrbrgwgubbggwgrgrbrrbrgwwuwg
+wururwgrruuwrgrrrwbruubuuwgbrrwbgrrbbbgugbgrrguugwg
+uruwurbgrwrgwbrbbggwwbgwbgwrbrgrrugwbwrwwbggbrgrugwrb
+wrubuwbugurguuurugburubbrgrurgwugwwbbwuwrb
+bwrwgbwwbuuwbwgbwbbbrbwgwrugbubbgubuwrrwguurgrurwwwbwrb
+rrwuuwbruwugwguurgubwrgwgwgburbrwwwgbubwrwrgggrwugurbrrbu
+rrwgrgwwubwgwbrubwurbbrgbuguwbuggbrwrururrubbwburw
+uubrgrrbgguggwrbwbwwwguwugugbbuubgugrrbugbruggrwubu
+uwrrubgbrrgrbgrrrgbrwgwgrwbwgugguwwwgruwbuwwrb
+wbgubgrbrrrwbgrbrwrggugruuguugubbwrrwugbbrubrrbuubbwrbwrgw
+gubggguubrrguwrwurubwwubbugrwugwugguugguugbuwwwwubgwgbwwuu
+gwguwggwgwbrugwbgbgruwbrwgbgrwbgubbbgwgwbggrw
+wwwburgwwurgubugwrubrggbgbrrbgbwgggwrggbwbbbbubrbuuw
+gggggubgburbgrguurbruuruguwubrrrbruruuguwwwgggu
+bggruubuugbbubugwrrbuuwrguggrwrwurubgbwwwbuuuwgubguruw
+gwgbrgburrbbgrwgrurguuwrrwgggrbgbbgwbbbwrgggwbrbrgwur
+wbbbbrggurwuugbruubrbwgwgurbwuwbrbwrbwgruwrwwgrwurwuruwrb
+bbggrguugwrguwbgruwrwbggurbguuuubgrurwbbgurrbgguggubw
+uwrrwbwubbgwbuwwuwurgwurbrruruwuwguggrwbwwurwwurgbgu
+ubuubuwrgrwugguuubwwgwrruwwbuwggbbwwrrwbrgbuugugwwr
+rwwbbugwrwggwwwuwwbgwwrrrbggruruburubrrubggrgwrb
+bbgbrwgwrgguwwrubgwbgubuuurbwwbbbbuggbrgbwrb
+ubugbuwbrguwwbrgwrgguwwburgbuubwwgbgrbrubgbgr
+rubwrrgurbuwbrggwgbgwbggwuwrbuwgbgubrrrgrrwgbbg
+ubrbrrgurwbgbbbrrrugbrwwgwugbrgbugugugrbbggrwbgubbbuuub
+wuwgububguurguugwuwbuwubgruwbwuwbubuwburbgg
+wwrbgwrgwubwrgruuggwbwwbrbggurburgrggubgwrrgrgrgbbrbgwwuuwrb
+gbgrrbugugwrrbuwrubwuwwgggwrbwwrugbgbgrgrrruw
+bwwgwruwugwrgwwburrwrgwgubbrgurgubrwwrggrggbwwgrguuwww
+rbbwurrgrwrbuwruwuwuuwrgugbwrgrgruubwburbrgbrubgrgrwguur
+gwwuurbugbgwuggwwwwwbwgrrbbgrgwwbwgrggrwrbugwrwrb
+ugwrbrgrggwbwwuubrwubuuwwurbbbbwgggwgurbggw
+bbwggbubgwwuurbuguruwwbgggurgwbgrgrggwurrrrurgbrrugrgwgww
+uugwuwubrurururbggrrgurwgwgrrgwwgrwurwrwurwgruu
+uwgbwurruruwwuwgbbgwwrrwrwbwgrrbwbrwgwbbwubrgruwub
+guugbrrubwbrbgwrwwrurrwwgbbgwgwrbuggurgruuwgrub
+gbgurwuuwubrrugwrrugwbbbrwbrwuggrwrrugrwbgu
+bwguugwwwuruguwrrwwbbuguugbggbwbubbwgwrgbbguguruwguwuru
+bbwrbrguwrwbrgruguuggbgrbrruguubbuwwgrbbuwrwwgrbwb
+buwbwbbrurrbubrwgrgwwwbgburbruruwbbbubwrbuuwgwwbwu
+urgrrrurgwrggugwbrwubgguguuruurubbwrrrwrb
+bburwruuwbugrbwruuuwguubrbuwuwbgbgrbubuwbgr
+rbgrugguurbrrbbwruuuuwgwrggwwurbbrggwrruuuurgggbrbrbrb
+rguwurugbwbwrbbggrgbgrgbwwuwrbbubugrwrgrrrbbbrburgubgurggwrb
+gwuwuuwugwgguubruwwrubrurwrgwrbbgruuuubwwurrugwuuugwubg
+bgubgwwbrbrwruugbbbbbwrbguwbgwgubgbbgbbgurgrurgggugbbwbr
+gruwwbwwgbbwwbwgwgwwubwwbwubwrwrgurwuwgrbbrurgwg
+guguwggbbbgbggbrbrgwbgbrwbgrgruurwurbwggbuwug
+rbrbbuurgbgbgbgggbrrwuwuwgwbwbwwuwbgubbbbwr
+bgbuwugbugrwwwwgrbbgguwbrbwuuwgrgggrrbgwbwgruggggwwubbwrb
+ggwuurgbwurbwubbrgbbubgrwguwbrwbrruwgwgbrwgrrurggwub
+gggruuubuwrrugggruuguubbrbbgbruubuwrurwbrwggbrgrrburwggw
+rrugwrwbrgbbwrgwgbbbrwrgbburubggugrwggrbrbwubrgurgbwrb
+grbrubguwruuwggbwugwwgwuwwggubuwuwwrggbrbuurwubwbbwrb
+uwbwuwwbbrguburrwrugburgrwuruwugbburubwguugwwru
+uuwwrubggwwwuugrgwbwgbbwrrbburuguurbrbwuwwrbggurbbwguuw
+ubugbwrguwrrwurwuwbrbbubbbwbgugwgbrbwruwwwrububgur
+ggrrburgrgburuwrrubububrrbgruuguuuwwwgwwrgbruub
+ggbuugwurgbgrwggurugubwggbbbubrgurrwwburuggrrrgbbbbwg
+ggbrgrwuuwwbwbuwwwwgguwbbuwuwuwuwrwgwwubwwuwrb
+wrbrgugwrbwrwguggrrggbguwrguuwbwwrrubgbbbuwwrrbrg
+gbwbwrgrbwurwuggwwrwwgwrbbwrwwrbrrrrbuwuurrburruu
+bgugggbbburbbbrguurbgrugwwgggurugbuubuugubwrwr
+wrgbrrrbwwurbgbgbwbuuwbwwbugbgbugrwgwuuubugwrggwwbbbwggwgwrb
+wwbwbbrwrbruwrurwurwggwwbrbuugbugbrwgubggrr
+brbubbburuwgrbuwwuwrurrwwubrwugwbgburgwrggbwuwrguwgwuu
+rwurrbrggrrgbbgbuububrrwbguwrgbwruwgrrruburuurwwrwbuwgbbr
+bwggbuggrwuubrrwubuwrgwrbuwwurugrbbguuwrrugbgburggububww
+gruuwburbbgbrbwgugwgwuurgububuwugguwuwwrbw
+grrbgwbwrbrwgwrwuugwbbgrrggggwuwgwugbbgugwbrugwbwu
+rugruggwruburugwugrgwbugwwugwuwrrgrgrggubrgbwgwwwg
+urubrbgbgrgwwgwbrgbbwbrruuruuruuururggubwr
+burbwguggwrggrwggubuurrgwbgwggwrugwwuubgrbwbgrrbug
+wwbwgrrwbwwbrugrbgwgwgrwwggwbrbwbgggguuubwbgbburguggub
+urrbbbburgwbwbbwrgubbggrwbbubuwrgggubggwrb
+ggugrbggurrbggrwruwgrbrwgwbuurrgrwwwgugurrrbwgbbrbbggwrb
+bwgubwruwrgbrbwgbwbbgbwbgrbbruubbuugwburwrb
+gwrbbrwugurrbugrbgruwruwrwwguwubwubwbrwgrruggrr
+rwgubrrugrwwwubrwwwrbrwwrbgruwgrubbgwgrwrb
+brrbwgwgwggugbgrrrrgggubbwwwuururbgbrwugwbrbrbwuuwru
+urbrurgrbgguguguuruwurgugwwgrubggbgbwwwgrbugubwggr
+rbgruguwrurwbgwgurrwrrrggugrwwbrbrbwgubuwubruubwrurrgwbgbwrb
+ggbwuuuwggggrububwwrurgbrbrubbwgbbbgbbbgbwuwwgggbwrbuwrb
+rbbbburwggwurrrrbggwgwwrurubwbgbrbruguwwrwrgggrugubw
+rgwgwwrgbrgrwgrrbrburwbwuugbgrwwwggrwrbbwrb
+ubgrwwwuubwwwwgbbrurbuuruuurrbuwggbbuurgrrwrgwb
+wgwwuruurbgwruugrwgrbugrbbwbgwwgguubrwrrbr
+bwrwubggwgrrubgrrwuwuuugruuuubuwbrbbwrrbgrwugwgwugrguwrb
+rguwgwugururbwwgwwwgwgwbugubbrbrgwrwgguguwbwruwrrrbgbu
+wuuuugurbwrgbuugbrrwgggwwwrwrrrrgwrwggwrbb
+wwbwbugrwbbuwwwrwrrrubrbgwwwburwgbgbwwbuwrwugguurbg
+ubgbuubgrrwruwugwbwbwbwwgbwbuurwwuwbubwrbug
+uubgrgrrugubggggwgrbgbrwrwbrgrwbbwgrburrbr
+gbwwugwbgggrbguurbrburbwwrugguwbugwwugbuwwbguu
+wuwgrgrgwgrbuwgrbgburuuwrbwguuwuruwgbwwubwwbururbw
+wwrwgugurwrbbbrwbwubggguuwrwbuurbwbwubggbbuurrwwbubuwrg
+bburgruburubrbwrwwwbrgrbuwgwrwggurburubrgwgbbruw
+ubrwbwubbbbwbwgruwuuwbrgbuwwuwuurrrwrrrwgb
+wwwwrbrrguwugugbgrggrubbrgrurggbgbuwwbrgggwuguwugbrwg
+rbrbbuwrubbbugbgwgurggrgbwrrurbburwrwggruwrubgbgwwuuu
+wuuugbgwgggburrrrgwbubbbgrubbgburwrbugbbwbwggrgrg
+rugwgubuwurrguwbwwurrggrgrurgwbbwbubwwgbgrubruuuwwbu
+bgburwubrrwburrbwgwuwwwwurwuuwbgbgrwggubuwubwwggrwrb
+uurbururruggwrwuwbguwwwbbwrbbwrggwrgbwwugwrwuwrw
+bburugbugwwwwggggwruwwggrwwrbrrbwgbbbuwgwgbwwwubgrgbwrw
+rgggubrrbgugguwwuuwurgubgwrbuwubwburwuubrgb
+rwrgwbrbbwrbuwwuurgwuwwbrbrwuububrgubbrbwrguruuub
+uuugrguwruwwuwuuwgbbrrwwgruuwbbgwguwwruuwrb
+bubbubgwwuurgwrbuuurrwrwwrurwgbwugguwgbbggggww
+uwruwuguubrrbbggbgrbwrwwwbwwwggggruuuguuugbwrwwrgw
+gururwuubwbbugububgwugbugguwuwgwrugbrwrwrb
+wrrbwuuwbwbubgwrruwgguwgrbggubrgbgugrrgrubwwwbwbr
+rbgwbgwububrrrwbuwwwwgrurwrbwrgurwruggguggurrrubbbwrwgww
+wggbrggbrrgbrrgrggwbbwurbbrgugugrbrgrwwbrgubwrwuuruubwugwrb
+rrgbggurbrwuwrgrbbwwubguwgurugurwurwbgwrrbbwwuwwbg
+wbbggrwrgruwgrbrgburwggrrbbbguurgubbuwbruwwrggrbr
+wubugrwrrwuuugwuubgrubbbbgurguwgrwgruwwruguburwuwu
+wbwuggubbrwugwbwrrwurgubuurrrubrgwbruugrgbrrbrugbwrruwuubwrb
+rrbuwruwguburwgugrwgwuguwuubgurggrbuugbuwrb
+wrrbuwggurrggwubgwwuggbwuuwwurrrwwrwurrburgwbwugrgbuwwrwrb
+grrurwggwgruwrrbbwuugrwgrgggbrgubggbugugrwrb
+wwwrwbuuwgbugbwurrgwuwbuuwrbuurugurwbuuuburrurwrb
+ruruggbgwbggrwwrwrbrrgwuguwwrwurrguwugurbbruwbrwuu
+uwuuggwurgbwrrrbruwrrwrurgrwrbrwugrwbbburwurbwbru
+rrbwuwgrwuugwguugbrwgubrbubgguwrugrwbwrrbggbgrrrugrbbgr
+rgggrbugbubburuwwbrrrbuubrrwubuuuwgbgguuuurrubrwwuwwugrbwrb
+urrgwwwrgwrrgurrgwbbrggwrgubwgwwwugruuubuuwggbuur
+gbuguuwwrbggrwrrubwwgrbwrurugrwrguuuugwgwrrrgubgbwb
+gwugrrwrgubuwggwrrguubugwrbururwgbwgbbugwwwrb
+bruuwuwbgrbrwbwwubrbbwrgwubgggwugbuwgbrwbbwruubgwbbrwwwubg
+wwgurbbbbbwbwwrwguwbrururbwurgbgwurrurbgur
+wwrgwuurruwuwugbbrwbwrbbbuwgwwububrwwgggbguwrgwrwrrub
+gugwrrrwugugruuwrguwbwwubbggrwbgbwrugbuwrb
+rgubwgbggwbbwggwgggrrrgggbuwwrgrwggggrrgwr
+gbgrbggbgggggbgugwgubggwrwwwrwgrbrguwuwgwrbbrbuwwgrwuwrb
+wwbgrrggrbgrbwbrrrbwrwrwbwrbrrwbwuugggwrb
+wbbwbwbgrbwwwuguubbwgugrugbbrbbggrwwurururwggw
+uguwrggruugrgwwuubbrbbbgbbgugurruwruwbugwrugubwwbgbwg
+ruwbwbrubggruwbrwrurbrrrbgrrwrrgbubbrwrwurwuubwbrruburwuwrb
+ugrrbgbbugruruwbgbbbgwbuwgbwugurbrwbgurggbubwwrbb
+wbbwrwrwgurubwgbrgwgrgggrguruubburrubwugggrrwgbbrugw
+uugwubrgwuuwbrrrbgruuwruwwbuuubgwuwwwuwbruguuuwgrbrwrb
+gugubrrggwbuugubrbgwgbubwwgrrurubwwrbbwbrgrr
+wrggwguuguuwbgburwwgwgwbruwrgrrwuwwrgbgugurwggbbg
+wwuugbgggubwwwgrgrbguguwgwwwgbuwgbugwgwwguwrug
+uwuurugbwgbrrbgbbuuwuggbrbrwubwbrggwbgrubbrrggbuubu
+gwggubgwgubguwrbggbwwgbuurbbuubuwwugbubwbgbbruu
+bbubugbuwwgbgubrbrguwggbbugggbuwuubbwgrwgwg
+rrrrwugwuurrrbggrbwbrbrugbrbubugrbubbrguwwwwwrrgwgbuugbu
+wrurguruugbwrwbgguggbwruwgbbwgguurwbgubwruuwru
+rwbbwbrbwuwrubgbgwrbbuwbgubrgbwrrwwuwgbrwgurgubburuug
+ggwubrwwuggrrwbuuubwwgbbgwurwgrgwwuwubbrgruurugwuguggurg
+bbrugurbrurbgrbubwurrubbrbbgugwbbbwuuuwrb
+wwgwwbruuuruwggbbwuuuubgwbubrbgwbwwuruuguw
+gburwbwbgrbwbgrugbuwubgrrbrrggbuwwrwrwbguuuu
+uwuwgrbggbrwgwggwwgbrrwburuuguwbbwwwrgurbgurrwgwurguwrbwu
+rbwrbuwrwgbbwwggrbwbwwggrwguwggbwrgbrrubgubgugwbrruwwrb
+bbuggbgbwgwrrrggbubrggrurugubuwbwuguwbugrrggwuwbwrggbwb
+ugggrbwgwuubwwggggwuwwwruuugrrguwwbwubrrwugwrrurwgbg
+bwgrgbubgbuurggguubwwrwgbubgrrgrgugwrguwruwbrbwrwbbwbbbb
+wrrrbgrbggruggbbuwwuubrruwgbuuubgwbguurrubbubb
+rbwrrrrubruuwgrgrbgwwwurwurgwbugrbbwwgggugbu
+ugbggrgrguwwwggbruuruubwwgbwuggwbrwbwwbrbwubrubgbrrgwuwrwrb
+rwrbrubwbburrurbuwgrrrgurwgrwbrgwgwwrbwgbrwr
+wbwrbruubggrgwbbrbgrbuwwrrrbwwburwgwguubuwguwbrgubbwrbrbwrb
+rgrrbwrgwbbuuuruuwbrubbbuburguuburrbgrwbgruwru
+gwrgrrbubrwgurwgruwguurgruruubgubguggbbwwrb
+wgbbuwurburbwwurgbgbwgggruggwurbwuwbubrwrrwbburbgrwgug
+ubugbggwuwguwwwuwugwbwgwwuuuggrrrrubwwubwbwrwrrugwbwrgwuu
+rubggguguuwgbuwggrruwrwrgruruguurrubwuwrgruwwgrrurbwuw
+wurbburwrubbwbwrruwrbrbuuugurbwuwwgrbrbggwwbgugubrrg
+gugruugwruwuwrugbgurguguuwwbbrwrurrgubwbwbrgbwrb
+wugrbrbgwbbuuwrrgrbwgwrruuuubrbruwggurgbrg
+rurwugugguurgubwbuuuurrrwbrrurbwruurwugrubrgubwrub
+rubgwwrrwwwgguuggbwuruwwggbrubwbrwgubrrgrwwbuwggbbburwurbwrb
+wbbbggwuwbwwgguruwguwbugwgruwwrwrgggurwwuwbbwubgu
+bgbwbbwruuugugbrwburuwwrwbbbuggugbwubrrwgwugbwguguuuwru
+rbrwwwwwgbruwguuuuubruuurgbuubrwbrbrwurgburbub
+grruruwbrwwrbgrgbgrwuwrgwwuwbbwgrrrrrrrrrggbbbwbbbbu
+urrwbbbrwuggrggbgububbrbubuwggwuugwurbbbwbbrwrb
+rwwubggwrrbuurwwrrruuuruwggggwbbuwurrurugg
+bgrbrruwrrgrwbwruwbwbguugbrrggrbgububwbuubrububggugg
+rwruuwbuwruuwrrwgbwwrbwwwbwwrwwuuggbggwbbrbbbwwg
+rrgwrgwubgwrwugbuurgruburburuwwwbwwwwrgwwrgwrgrgg
+wgwrrgwwurrrubwgwrgbrbwgbbubrrrgugwwguubuwrbbb
+gurggwuurwwurwrggugwugrbwubggwwwugrbubwrubbuw
+uruuwurrggwbgrugrrbbubwbwwggbuuugwgrwbuuuugrrwbr
+wbbguguuwuubwwrbrbbrugwrwuuwgrggbbwurrubrrgwwrb
+rruuugbgbgrrwwrwgrbugburbubuuggurguugbwgggwrwwbubb
+brbgwwbgrugurrgurbbwbrwubbrbrrwugwrwugrwwrb
+buurubwuubrwbugwbbrrgwbgubrggubwurggwbrwwrrurubwrgrrg
+wbrbrrrgrrbwubwgrwubgrgrwuubbgwwwugbwruwugwwgubww
+uwrgbrubwbuubuurrrbwuguwbggurbubuwgwbwrggbggbwruwuggguwbw
+gwbwgbwbgrwbgbbbrwwggbgrurgrwguwgrbruuwbugwrbuwwbwrb
+guwbwbrwgbgrrrbbrbruwwbbuwwggbwrrbuubugwbrwrb
+wrubrurubbbuguurrbguugwurwuuuwgubrwbbgguwwbbbwwwrbwgwuwgr
+rurgbrrbwwbgwbubuggwugrubbgwwwrubuuwbgwgbgwugrrugrub
+rwugwrwwbuggwbugbbwrbwwruggbgrwuugruurgrbwwbuwwurubgbr
+bwbwuuubbgurgrgrbggrubuuwrugwgwuwggwrggbrbwubwgwguwwrb
+urrgurwuwwggrubgrrwrugbbgbbbgwrguggrbuggrgrgwrb
+wuwurrrrwbwgwwggurwuwbrrgrburggbwgrggbgrbrrggburrggwwrb
+ubugrbugubbwgbbbwwgwgwgbguwwbrgbrgwubbwgwwruubgrgrrrb
+gurwwrggbbbburwbgububbrwrggbuwgbwrbrrugburgrgbu
+ubgbbrrbubrrubbggrbgwbwrbrwubwuurgwbburwwgr
+gwbrrgwgubbbbrrubwgrguguggwwrbggrwrwuuururwrwguwgrbuwbuuwrb
+ggbubbbbwruuggrwwuuwbbwubgbururrggrbbwgwrb
+rgbbrgrwgrruwrwbuurgugbrububrugbgwruwbrurbrwwuwbbrgbbrugr
+urruuurggrwgugbgrwgubrbbbbwuwrrwgrubrurgrbuwrgwu
+bbwwwwrbbuwubgrrgurbbruwrbrwguwrbwrurwwwbbuwgruubwwwrb
+rbrggubbuwguwbggbrrbbwrrurrrbuuuggugububbbbwrrwb
+ugwgwwwrwruugwrwrbuggwuuwgbubwgrbrwwgrggrrgrbrbgbbwgwrb
+ggugburbbrgrrwgwbwbwruuwugrbrrrurgwrbrrbrwubr
+ububbrggggrbruugrubrwrbgbwggwrbrwubggubgggrrgbubrrgrwrb
+rrgwwwrugrurwuggggwrbbwugwwwwububgbrbguwwwguwguwrb
+uuwwwrbgrrbwgwuwrwwwgwwwrbbrbuggwwuguurwgwrb
+gurrrubbgwubwuggrrwwbbubbrgbgubruwrgubggrwgrburrrrg
+uwugubuuwurruwruubgbgbwwggbrwgwgrbbuwugwrb
+wwwrbwrbwwgbrbrwbrggrgwrurrbrbwuruuburbubguwwugggrbwgwgb
+wbgugurgwrrbbwugwbrwuwrwruruwrrugrruugwuggggw
+rwbrwwgrgwwgrwgwbgwrwrwguubuwwbguwggubwggwwbww
+rggrruwggwrrgggbrruwrgbuggbbgbwbwgurwrugwbgwwwr
+gbbwrgwwrwgguurbggrbgbwggbbbuuwururrgrgwgbgg
+wbgruwwwubrbugwbuwuubwgrubguwgwbrubrgwwwgwbgwwrrugbgbub
+ugbwugubwgwbuggrurguwwubwrrurrbrgurrbrubwuwrwwwwwgwwgrwwbw
+wrwubuguggbrrbugwbwwwrguuuguubwuruugwbgwbguurgwwbggrwwbuwrb
+uuugbgrgwrugwguuuuurwgggrburwwgbwrurwbgrrwrb
+wbgwguuwbbuwggubrrwbgrgbwuwrgbubruwggbrrubbwg
+ubuwbrwbbbwbguuwgugrbuwwrgugwubgrburbgbbrrgrubbbbbu
+ugbubrurbgwgwwgrurbwugbwwwbbgbugbbbuggrwgrbugbgwwbuwrbuwrb
+wgrwwuugurbgrrgwwbwrubrgrrwwubgbuggwbbuwubu
+gbuwrwbrrrwrwbwwrgbugrbugbrurrgggrgwgwgrrbgubrr
+wugbuggubuggbrggubwgggbgbgbgurrgwwbrwwwwrb
+grgugwubbugurgbguwbgbrugwbugbrrwubwrwuwrgbrugrgwrwrb
+guruwwrurwurwugbbrbwwwwubuwrwuuwwugwruwbggbbb
+bguruwbbggggbgugrbgrrrgubbbrubwrrwrwubrwgrurw
+wbbrbbrgbbgguwbruuguwbbbrbrgrubgugwrgbrrgrwruguwrb
+wgrbrgbrgwurggggurwwwggubbggrrrgrubugwuggb
+bbwuwwrwrrubruuggwwbrurbgwururwggwwrrrurrww
+ubwuugrgwuuuwururbrguurgrbwwwrrwbwruwrgwururbugrwrru
+rgbbrwbbguggwbrwwbbgrburwbbwwgbrbwbbubwwrb
+uuwuuubgurwwggwwbbbgbgbwbrrgbrrwrbbuwwwgubgggbbrwbrr
+gbuurwggrrggbbrgbuuwrgrggrwgwwrwugugwbgwwbrr
+bwbrgwbrgwwubrgubbbuwbrubwrbgbrrbbbbwrwbgwguuuuubrgrgrw
+guwguururgwuwuuwgwbruguwbbubuwbrggwwugrwruruuugrwrb
+grgwuuwrbbgrrgggbwrugbgwbbbrwuuwuwgbwugwruurrrbbuggrwwwru
+buwggggwrrrruburwbrugrwrrgwuguwggwbwbgugrgugwwurbbburrggw
+ugrwgbbwwwbbgruubgguuruuuururwwbuugbgwwrgubrrbuwwugggw
+wbrbbugwgburbgrbgrurrbwwwrbwbwubbgrurrurwwrrbwgbugugw
+ugugwbwwgrrgrgbuubwrwbrrurrgbubggwrgbugwrgbggubbruubgw
+bwwubbgwwrrwruuruguugugrwgwubbguburuurwguwbwrwrb
+brrbwugubgwrgurrrgrbbrwrurugrugwuggwrgrbrwggwbbuwurrwwruwrb
+rwbbrbgwgbwguwgbgwurgrbuurugrrgwuwuurubrbgr
+uwwbuuwgbwgggwrububuugrwurgggwgbwbubuurgbwrrwbbrwuruwrrrb
+bbgwbwrrruurwwugbggbbguggguurrbbbbuubbwbwrwbrwurrbuwgrb
+gwgwbwgguwwrwugugwuuwurwgwgbuwgbgbwwuurwwggrubb
+rgburwwwuurrgbuwrgwrbugwwgguwwwgbubuuggrwbgubrwrgwugwbuwb
+gurrbwgburruggbrbuguugbguruwurbuugbrgbguguuuubwggrwgrrwbwwrb
+ruggwuwgbgguwwuburgruwrbgbubbwwugrbwuwwbrbrrwbg
+wwbrrgguwbbguubbuuuuugwbbrwrrgrruwrgwwrbbbbwgrgw
+bwbrwbwwrwwuugugugbrbrbrrbwrwrruguwuwwubbugwgurrr
+wggrwwubuwruwgugrguggugwbbggugruuggrwbggrwbbw
+gbgubgbwgurbwrrrgbuwwguwrrwwbwuwuwbgburrbgwbgwr
+grrububuwruwrubrgwwbrrgrbwugrggwbrgbwwrb
+uguuggrrwubrgrwggububbwgbbwgrwurwwwgwbubbbruggrwbrbgwrb
+brgurrbwwugubrrgurrbbrbuubbwwwwguwwgrwwugubgruruu
+wrwubrrwburuwbrgwwuggurwrrwbbruruuwuwuwubbubuuu
+bwbugbrrbwugbwrubuwbuwwubbbguwbrgwwurbgugrgrwgwuwwbwubgwrwrb
+bwguwgurgurrrbgbbbwbrrrwuwbrwubruuwrbwrb
+rbubgwbubuwwbubbrgwwgubgwwrrgbubrwbbrwwrbwwuwgbbwrb
+wrbbgwburwwwrgwggggrrbubbggrbgbggwurwruburwubrubrgr
+rggurrwwgururrgrwwwgrugwwbguurbbwbuwrwurrrbrggbbbbrwwr
+ugwwgwrgrgugrbbbbubrwrubrbguwbrwubgrwgrrgbgggwugw
+uwgrgbugbwbbggrgrbbgrwrbggrrwbbwbugwrwbrrwwuuwrb
+bguubugwggwguuggbguuwbgwbwruggwrbgbrrbwbrrbgwrbggwrbrrbu
+rgwwbubbbbuugubwbrwuwwrrruuwggrbbrbwguwruuubgbwwgwurbgbubg
+uuwbwbrwwubbrwuuuwuwwgggwwubburgwgwbrurrwbrbgbbburwgb
+wwrrbbwwbruwbgbggbrbbgrugubggwgggugrbuurgrbbgbuwu
+ugrbwbwwgggwrgbbguugrgggwrggbuuwuwubrgbruwbwrb
+ubggwbwguugbbubbgbbguubwuubrbwubrubrwguwwwrb
+rugburrbwruuwrwwgwrwggrubgwbuuubugbwuurgbg
+ggrwrruwggbubrurubgwrbwrgbwgwuwrbbbwbuugwubrubwuwbrbgbgubg
+grgwugwuwbgwuuwuugrgwwguwbburuubbbgubbuwgwg
+ruwrwrwwrwgwwrgbubgbrbrwwbgurrwrrgbruuwgrgrrrgurugugu
+brbwrgurrwgwrruwubrwwwrggbuururgrguwggwbbgrgubrw
+bbuwggrbugbbgbguugwuuwuubgwgbbrgugbgbwbrubbbgugwrgrgrgruuwrb
+wgbgbubuwrurbuuwgrugwrgrbrwrgwuwbbgwrrrrwrb
+wgwrgbbbuurubgwwrgwguururrubgbgwrbgwwwwwggggbrurgrr
+uwggrggrbrruwuruwbuwurrrwwwwbuggbguwuubwuwbubrrwrb
+ugubbwurwurgwwrburwuugrurguuwruwwrwbgruggwbwwwgwbb
+ubwgwbbgbrugguwrggubbrgrbgruuwugbgruuwggrbgwugugwugrrwwg
+wggrgugugubgrrrbugbbbwrrrwbwguuruugrwwrb
+bwgwwbrwbbubgwubrwwwgurbwbrwbubgbwbubwgbbggrrwbbgbwrbbrr
+gurwrbbbrbrurbrrbugrrrguurwwbbwugwbubuwrwbrgbgrwrbuuwrbuuw
+gwwwwuuubuguwwurubwwrggguwgbrbbbgbububgwrbwbubbruwbb
+uwwwbbggwrgbrgrubrurwrgugrbubuwwruugbwbgubugbuguuuuurbrgr
+rrbubwbuwrgrrugubbbuuuwwbwgurrwwgwburubwrwrb
+rurrbbgurbuuruwuuwrurrwbbggrrrgguwgwrurgrurubwrwwrb
+ugbugurrgggrgrbuuwgbuugrrgbuuwugbrwrrgbubbbbburuuuwww
+wuwgugruburwguwrwgwbwrbubbrbgwbrgbwruruwbbuwwwugurwgurwrbbb
+wugwbruwuggrruggrbgrgubuubgurbrrrruwrguububruubwugwwbbwbu
+grubuwwurrbbggwbwwwruuuuubwgwubwuubuuwrrrwgrururbggbbggw
+gwgrwbuwuwgwrubbgbugrgwbgrbwbuwgrggbwrrubbuggwbgrwgbggg
+uruwrwuwbrbrwwruwgurrugrbwguuubwrwwurubgrbgrgwwur
+rguubrwwgubuwwruruwbuggbrburgrgurugwwwwrb
+uuubuubggrugbgbgwgbbgburuwggrrggwrwruwgbuwwbrgu
+gwgrgugwgbwbuwbgwgbrguuguguugrrgrbuugugbrgu
+urgrwwwrgurwwrwwwggbgubbrgwwwruwubgbrgurguurwugrgwrb
+rubgwbrwbgrruuwbruwrgwbwbguwururubrgwrurbuubww
+brurbguurgbggwbbgwwwugbrbgwrwbrwrrbrwbugwuguwrbwru
+rwrbbguggugwwgrbrrwrbgruwrwwuugbrgurbwuguwwubgbgg
+wgrgbgbwbbggrwgrbbbrrwubgrbrbgwwururguwugbgrgrrug
+gwuurwubwwguggwwbbwwugrwgggwwurrrgrrrburguwwrrb
+guggrruwrbrugwrwgrbgurbgbrgwugwwwwbbbwwrwuwug
+uwgrrgrbbgwrggrwwwgbgbrbbrbuuburbbrbrugwurugwbburgbb
+wwwbbbwbbbrbgubrwbbrubugbrgrrrruuwgurrwwwruwgwrguw
+uuubuwgwrwugrbggggbruugbrruwuurubwwgwbwgurbgbuubbgwbuww
+wbrrwgbuwggubuggrugbwwbbbbwgwrrbgggrrrwrbgrbgg
+gbbbrwwggbugrbrrwrgbuwgbrrrwgwgubrruruurwguwb
+rrbbuwrbruwruwurbggburwwbwuuwrurbbwrbuurubggwrb
+rrubbuurrrgbrwwuwrbwgruuwbbwugrgubgbwwruwbburgbwb
+wrwugbbgrbgurubrwwwwwbbbruubwgrgburbwbrgbwbgwb
+wwrwugwbbrubugbrrgrwwbwbuwwwuugbbwguruggwgwrwgwrggwrgrgwgwrb
+bguwgugwbgwgubwwbwwrwubrrwubbwgrbwgggwuuwgrbgwgwgrwwggrb

2024/d19/ex2/ex2.py

@@ -0,0 +1,32 @@
+#!/usr/bin/env python
+
+import functools
+import sys
+
+
+def solve(input: str) -> int:
+    def parse(input: str) -> tuple[frozenset[str], list[str]]:
+        towels, patterns = input.split("\n\n")
+        return frozenset(towels.split(", ")), patterns.splitlines()
+
+    @functools.cache
+    def count_ways(pattern: str, towels: frozenset[str]) -> int:
+        if pattern == "":
+            return 1
+        return sum(
+            count_ways(pattern.removeprefix(towel), towels)
+            for towel in towels
+            if pattern.startswith(towel)
+        )
+
+    towels, patterns = parse(input)
+    return sum(count_ways(pattern, towels) for pattern in patterns)
+
+
+def main() -> None:
+    input = sys.stdin.read()
+    print(solve(input))
+
+
+if __name__ == "__main__":
+    main()

2024/d19/ex2/input

@@ -0,0 +1,402 @@
+wwubu, guw, uguggg, bgr, rgbrg, bbrb, rwgru, bwgr, uwwbuw, rwrbrgb, ggbrbuur, bb, ugu, grurrr, gbwbwb, rgbrb, bgrwrbu, bgb, wrwu, rwwr, wubr, bug, wu, brwu, w, grbw, uwbgg, gggwrggb, rurgr, uuw, bbw, wbg, bgw, ugw, brb, uww, buww, uuwgr, buu, rrbugw, ggggbgug, wwwrbbr, rgbbr, ugrr, wgwrg, bwuubub, uugg, bbrgg, bbugw, wuuwb, uwr, bugww, rwrrbbr, ugwrrrb, ubbr, rrwbgg, wb, wgr, gbrb, gwgg, rbg, bub, brg, bubr, ugggw, uuugbbb, grbug, rbww, rg, wgwwwwg, wgb, brugbbb, wgrww, bbrgrurg, ruu, brr, grgwg, wurbb, bww, ubwgr, bburwurb, urrrrbb, rgg, wwww, gbgw, rbrb, buw, wur, ruugugb, uwugg, rgrrugub, ggg, ggr, wrurr, bgg, uuru, brbg, rrbb, bbr, gbbu, grug, rwrrug, ggubub, ggrgg, uu, grb, rrrwwbg, ubbg, wgwwrgbr, rbug, rwrgwbrb, wubwgu, rrw, ruw, rbwubwgr, wwugg, bbbu, wgwr, rwgb, ruwg, rrrb, ubw, rwgw, wbr, uwgrb, rbwrrrru, guwbwg, rgbwr, wbu, ubgu, uruug, urbuuruw, rug, wg, gugbw, brw, wgrb, rbwu, wrw, bgggr, rubu, ur, uggrur, ggwbbuwu, gggr, gwu, bbwb, rrru, rubgb, wub, rgb, rbur, wuwbb, rbb, bwb, wwr, wubrwb, bwwwg, wwbwww, ugrrurw, grg, gwuw, uwwww, ubgb, gwr, gwuurgg, grwuu, gbru, rbbrrg, r, rgbrrg, ugrrubr, bw, wwbwbg, brbwbwr, rrrbg, rggb, bgwu, rrgrwwb, wrgrrb, grw, ubu, wgrugw, bbrugug, wubuwrb, gbrr, rrbg, bbg, bgrwg, urwu, uug, gruruwb, bur, rbwrguw, gbbuw, wubbr, gwurrw, rurr, gwrubb, wwwrw, wrwrbbr, ubbru, gbr, rwg, rrgwgr, ugrwwg, wwbgbr, wwubuwu, uwbb, gggbb, bru, uwb, bgru, wgu, gbrgr, urrwb, ub, u, bgrug, rrwr, bguug, gwbb, uuu, brubwg, bwrwbu, ruggur, gggww, rgu, ug, gur, wgurgwb, uuwwb, wbwgr, gbrg, rru, uuwurrr, rbgbw, ubgwgw, wgwbgu, brbwgg, uwwgw, rgww, buuu, uwu, wrgug, gug, rr, gggwb, bgu, grwg, wrwr, uub, gbuwwrwr, bgug, bwg, ubg, urrb, bbgggw, uuurb, ggw, wgrbwrg, bguw, brrrb, gwrbr, brbw, ggrrbu, uru, wrrbg, ubr, ggrr, ww, wwbgwwr, bgrr, wugbrwg, rrrrg, rww, wrbg, ubur, gwb, rgw, bubgbw, gbb, buuuuur, wwu, uubwww, buwg, ugbg, wgrwbub, wurwuu, bbu, wuru, ggu, wguwgr, gbw, gub, grr, rubgw, urrurb, wbubrr, grgwwb, gbwwru, urb, ruuw, urr, gu, bwrbwg, wrr, wru, wug, wbuwwwwg, guugu, brwurrb, brruuw, wuuuu, rbu, gwg, bgwg, rgr, bbrw, bu, gbbg, bbub, bwr, buur, wrgg, wwuurbug, bgbu, ruburubr, bwurbr, rbr, wgw, gwwug, rruu, wubgg, bwwg, wgwbwu, gwrr, wbbrrb, rwbgbbbr, gr, rwuw, rggbur, gbu, uggb, gwgr, guggbuu, gugw, brgww, wuw, rbubgbu, wgwbrb, g, urbb, gb, gbwu, uuug, ggrbbw, wbrrww, wbw, ugb, gbg, ugr, ggwww, rwr, rbrbw, wrg, wwbr, uggu, rrg, gwguuuuu, bbwuur, rgru, bburww, bbbg, wbb, uuugww, bwgg, bgggw, rugbr, wugrbwr, urw, bwu, uur, gggwrw, buwr, rrr, wwb, wgbw, urg, uwgbw, gru, bgbgurw, rwrrgbub, rwrw, buuug, wggbrgw, guu, bruuubw, gw, wuu, rrb, uuuwg, uwbugu, ugbbrr, wr, uw, ruwbw, wwg, ubru, guub, wrrwg, www, bbuuuw, guruub, wwbrwu, rwgbuu, rguruww, bgggrwr, bg, uwuwr, ugwub, ubgbu, ubbur, rub, gww, rw, urrbbbbu, urrbb, wuwu, ubuggww, bbbwg, ubugg, grgb, rwu, rugbug, ugg, wgg, gg, ru, wruw, wrrwuw, rubg, rbw, rwgwr, uuruu, ubb, ggb
+
+uwgwguuguruwggwbrbwurruwgwwwurgbgwggwwbbubgugguuurgugugwu
+gwwggrgbwbbguwgbguubbwrbgurgbburrgbwruwgurgwgguwbwgbgrr
+rgggbwgwgwuubwbwrrbrrrurwuwurgubuwrbwrbbbbr
+rguruururrwbbrgrbgrbwggrubbggbrbrugrgugggurubrbuuw
+rruggbrruruggubguwrubwbwuwgrwrguuurbrrbbbggbrwg
+wbwurbbrggubugbrgrrbuuwubwurrwururgbgbwurubbuuwbuw
+brbwrrruwrrrubrwuugrbuuwuuwrwrbrrgububwurugbwwrb
+rbbbuurubwubbuguggrgwgwgurburugugwbgbuwbwwrrgugg
+wrbbugrwgwubgugwrruggwwggurrwuugrwrwbrwgrww
+gbwbugwgrubbbbburrbwugbwuugrbbwrrwbgrwubgwgbbb
+urgrwbruurbbururwrwwbbubgwbwurbwguguwgrbrgugugwrburb
+wubuubwggrgwgbgububrwgwbbubgwgbwwwuubrbbbuwbr
+wrrrrurbwubwuuggwguuwwwububrwrruwurrbbbuubggwgrgwugwu
+brurwwrbbuwgugbruurgrrgbuuwrbwrugurrwrurrrbbwrwbrrgrwuwg
+urgwuwwbwwrbbwbwgwgrrbrwgubbrbgwububbwurggbrgrggbrggrrrwgg
+uugwrbwguuwwgbwwwburburbwburwgwguwggwggwbbbuburrubgbbguugg
+wbwbguuuuubwwbwgrwbwgguguwgbbggwwwurgrwgrgbgggurbuwugwrbu
+uubwuwuuwggbbruwuwbwbgwbwrrguwurubbguwwgbug
+bwwgwwubbrrrrwuubwbwrruurrwwwwggbgbrwububwwurbggwuwbgu
+bruwgrwwbrwbgruubwbbbugwrbbgwguuwguurbrwrb
+grbgwuwwrbgrwgrwurrwbbuwwwwwbrbburrbrwbuggrgwbwrb
+wgggrubbbwwgwgggwruururugbrguburrwuwwurgggubrbwwgrwrb
+wurbwrwwugrgrgruruuggbbggubwrurbrgrbwwrbrrw
+uubuwwurrrrurubbbrrugugubgbruubbrwbuwugrwwgwrrbrwggwrb
+ggbuwrwwwbbrgruugrrbrbuurwgurwgubrggguwbubrrbbwgwrb
+ugwgurwrwwbrrbwrrrruwbgrwrurrrrrgugurwbuuubbubwwbgrrrbwrb
+urwrbbrbwgurbuwrgrurgwggubbwubuggrgbuwgurbbwwbbwwubwrurgrw
+bbugbwrwrrrwbgugbgguuwwbrwbbwgurubrgugrgwurrbb
+uburggbrbuurrbbggububwbuuubgwrruugbrrbuuwb
+rrwuwubggwrwruwrgrrwrwubwwrbbbuggbrggurubwubwbuggwu
+rwwuuubguwgwuwgwwwggwbwrubbrguuubrurbwuggubwbruwrb
+ruugbuurwwwwrwuwurrrbrubugubwrwwwgbwbrbgbwb
+wrurbuuruwrbwgrbgbbwgwrwrrrwgwrurbrbuwrwwgbgwgrwgu
+bbruguugubrrgrgurwwggwurwbgwbwbbuugwwrbwubwgrwrb
+bbwgrrugwgrbgwbbugugwuubrbrbrbbrrrggurgbbwwuwrbbuwbgw
+rbgbwburggggrbwubbrrrrggbuwbguggrrbuwbgugbbrgwrb
+ubgwuwbbgbubrgbububwuwbbbburwurbwbbuburwrb
+bbgubwgruwbuwbwrwrurbrbrubuwbgrugwbbggbwgrwrburguggwwg
+uwuubwuwgbuurbugubbgguburbugugrrwbrrurgwrwgrgbb
+wwuuugrwuwurbgwwbrbwguwugbgrbgwwbgrgbubrrgrbbgwrggwgrwgruu
+bbbwurgwwbwurwubbugrwbwbgbwrbwrwububbgbgurwwruwrwrrggrugr
+bubuwbbwrgrwuggbgrgwbbwruubggubuwguwgrbrrguwgwubbbbubugw
+wbwbguwgbrgwgwrrurwwrrrgbrwubrgwbwguwbwwuwgugwgrbbubgru
+bwbrbwbrbubbwwbgwwuwgwwgggrrgwbubbubwwwugrgwgr
+wgwwwwurwubuugruwbrrguwgubwwbuuwruugbwrubr
+rgbbbwrgburwuwwbwubwruubgguwbrbwbwrwurbggbwbrugwgrubrgbbur
+gguwwggubgrgrgrwuubruuurubrbrruwgrrwrwuwgrwwburwuwrg
+uwbgrrwbbggrwwgguwbbgbbrugruugbgrbuwgbugwrb
+guurgurbwbbrugrbuugbgruwgburwrwwrbgbrrrgbwbuwrb
+uuwuggwrwgbgbuguruwrgbrbrubgrgugwbrugwrgubbrwuwrb
+rwgguuubwrbbrbubbgwwgrgbbrrrgggbururgwgbwgugwgbgbrbbb
+grwwrwbbruwubgbwuuubwgubguruugubbwggrgurrbwurgubbggwb
+bwuwbggbwbgwbruuggruurrwrwgubbwrrubrwwbgubguwrb
+rbwbbrgrwgbgwgbwrrurgbrwgwurrwbrwwuwrgugrbgrugrgubbwrb
+wbbgwgbwrubuwgurwbwbugwguwwwgbuwgruguwbgbgbuubwuwgwubgrbww
+uwwbwrbubgbwwuwwubbgbgubwwwgwugrgugrwwwgwbubrguggbrgrbrgg
+wbwuwgrwwguwgurwwurwubgwuwugrbbggbrruuwbgurrru
+gbugwgrurugwrrggbrbubrugggwggbubwbwrubububgbwrgwuurugwrb
+gugrgwugubwuwbbbuurrwwrubbwwwguguwwbbruuugbrwwwuwuw
+rwbbgbugrgburrggrgwgubggwwruuggubururggrbwrb
+rgggggrbbrgrrugwwwgwbwbbrrbrburbwbwwrrgrbuugrruwbbuwrb
+ubbuurgrwwwuwbwwbgguurbbbgwbuugwgwuggrrbugguruwwrgbgggbbuwrb
+bwuruwwubgubbggrruwgbbgggwrruubgurbrbuuubrgbwub
+rbubbggrbwbgwwrrbbggubwwurwgrgwubgrgrrbwrb
+gwwbgwubrububgwrurwgurbbuuubwugggbrrwuuwru
+wguggrbbbwgrbrwwggrurwbggwgbrgggrwggugbrgwgg
+uuguuwwrguwrrggugbwwgwuwrguwbguwuurbwbwrggwguwrubwrb
+ruuubbgrgrrrgbbrbgbrbubgbubwguububuugubgrugbgrgwrgwrwruggw
+ruurrbwrbgubbuwggguwbwububrbwgrubbwgugwrb
+bbgbugbrubwggbrrwwuwrwwwwrwbgbbggrrwbguwrbwrb
+brbugwrwrbwwwguwrgrrrggugwwruwburugurrgrurbguwguwwbrubu
+wbwubgbubwwgrrggrbbgwruwrrugwwrwuuggbuuwburbrugbguwrwrb
+uugbuuwwburgbgruuruguuuwrbwurwggbbwrrbgrurbwub
+grrwguwurwwuwgguuugurwrgurrwgrgugrurururwrb
+wwrbuwwwwrbbgwgwbgrurburbbwbgwuugbuwuuwwuuwbbuww
+gggrbrwrugrrurwugwgbgugrruwrrruurbwuubbuuruuub
+rwuguwurugbrububbrggrwrwururwuwuwbrwwgurwgrrrrbrururrwbgbwrb
+rwbbgrbbwgbrbbgugggwwububugrbrgwgubbggwgrgrbrrbrgwwuwg
+wururwgrruuwrgrrrwbruubuuwgbrrwbgrrbbbgugbgrrguugwg
+uruwurbgrwrgwbrbbggwwbgwbgwrbrgrrugwbwrwwbggbrgrugwrb
+wrubuwbugurguuurugburubbrgrurgwugwwbbwuwrb
+bwrwgbwwbuuwbwgbwbbbrbwgwrugbubbgubuwrrwguurgrurwwwbwrb
+rrwuuwbruwugwguurgubwrgwgwgburbrwwwgbubwrwrgggrwugurbrrbu
+rrwgrgwwubwgwbrubwurbbrgbuguwbuggbrwrururrubbwburw
+uubrgrrbgguggwrbwbwwwguwugugbbuubgugrrbugbruggrwubu
+uwrrubgbrrgrbgrrrgbrwgwgrwbwgugguwwwgruwbuwwrb
+wbgubgrbrrrwbgrbrwrggugruuguugubbwrrwugbbrubrrbuubbwrbwrgw
+gubggguubrrguwrwurubwwubbugrwugwugguugguugbuwwwwubgwgbwwuu
+gwguwggwgwbrugwbgbgruwbrwgbgrwbgubbbgwgwbggrw
+wwwburgwwurgubugwrubrggbgbrrbgbwgggwrggbwbbbbubrbuuw
+gggggubgburbgrguurbruuruguwubrrrbruruuguwwwgggu
+bggruubuugbbubugwrrbuuwrguggrwrwurubgbwwwbuuuwgubguruw
+gwgbrgburrbbgrwgrurguuwrrwgggrbgbbgwbbbwrgggwbrbrgwur
+wbbbbrggurwuugbruubrbwgwgurbwuwbrbwrbwgruwrwwgrwurwuruwrb
+bbggrguugwrguwbgruwrwbggurbguuuubgrurwbbgurrbgguggubw
+uwrrwbwubbgwbuwwuwurgwurbrruruwuwguggrwbwwurwwurgbgu
+ubuubuwrgrwugguuubwwgwrruwwbuwggbbwwrrwbrgbuugugwwr
+rwwbbugwrwggwwwuwwbgwwrrrbggruruburubrrubggrgwrb
+bbgbrwgwrgguwwrubgwbgubuuurbwwbbbbuggbrgbwrb
+ubugbuwbrguwwbrgwrgguwwburgbuubwwgbgrbrubgbgr
+rubwrrgurbuwbrggwgbgwbggwuwrbuwgbgubrrrgrrwgbbg
+ubrbrrgurwbgbbbrrrugbrwwgwugbrgbugugugrbbggrwbgubbbuuub
+wuwgububguurguugwuwbuwubgruwbwuwbubuwburbgg
+wwrbgwrgwubwrgruuggwbwwbrbggurburgrggubgwrrgrgrgbbrbgwwuuwrb
+gbgrrbugugwrrbuwrubwuwwgggwrbwwrugbgbgrgrrruw
+bwwgwruwugwrgwwburrwrgwgubbrgurgubrwwrggrggbwwgrguuwww
+rbbwurrgrwrbuwruwuwuuwrgugbwrgrgruubwburbrgbrubgrgrwguur
+gwwuurbugbgwuggwwwwwbwgrrbbgrgwwbwgrggrwrbugwrwrb
+ugwrbrgrggwbwwuubrwubuuwwurbbbbwgggwgurbggw
+bbwggbubgwwuurbuguruwwbgggurgwbgrgrggwurrrrurgbrrugrgwgww
+uugwuwubrurururbggrrgurwgwgrrgwwgrwurwrwurwgruu
+uwgbwurruruwwuwgbbgwwrrwrwbwgrrbwbrwgwbbwubrgruwub
+guugbrrubwbrbgwrwwrurrwwgbbgwgwrbuggurgruuwgrub
+gbgurwuuwubrrugwrrugwbbbrwbrwuggrwrrugrwbgu
+bwguugwwwuruguwrrwwbbuguugbggbwbubbwgwrgbbguguruwguwuru
+bbwrbrguwrwbrgruguuggbgrbrruguubbuwwgrbbuwrwwgrbwb
+buwbwbbrurrbubrwgrgwwwbgburbruruwbbbubwrbuuwgwwbwu
+urgrrrurgwrggugwbrwubgguguuruurubbwrrrwrb
+bburwruuwbugrbwruuuwguubrbuwuwbgbgrbubuwbgr
+rbgrugguurbrrbbwruuuuwgwrggwwurbbrggwrruuuurgggbrbrbrb
+rguwurugbwbwrbbggrgbgrgbwwuwrbbubugrwrgrrrbbbrburgubgurggwrb
+gwuwuuwugwgguubruwwrubrurwrgwrbbgruuuubwwurrugwuuugwubg
+bgubgwwbrbrwruugbbbbbwrbguwbgwgubgbbgbbgurgrurgggugbbwbr
+gruwwbwwgbbwwbwgwgwwubwwbwubwrwrgurwuwgrbbrurgwg
+guguwggbbbgbggbrbrgwbgbrwbgrgruurwurbwggbuwug
+rbrbbuurgbgbgbgggbrrwuwuwgwbwbwwuwbgubbbbwr
+bgbuwugbugrwwwwgrbbgguwbrbwuuwgrgggrrbgwbwgruggggwwubbwrb
+ggwuurgbwurbwubbrgbbubgrwguwbrwbrruwgwgbrwgrrurggwub
+gggruuubuwrrugggruuguubbrbbgbruubuwrurwbrwggbrgrrburwggw
+rrugwrwbrgbbwrgwgbbbrwrgbburubggugrwggrbrbwubrgurgbwrb
+grbrubguwruuwggbwugwwgwuwwggubuwuwwrggbrbuurwubwbbwrb
+uwbwuwwbbrguburrwrugburgrwuruwugbburubwguugwwru
+uuwwrubggwwwuugrgwbwgbbwrrbburuguurbrbwuwwrbggurbbwguuw
+ubugbwrguwrrwurwuwbrbbubbbwbgugwgbrbwruwwwrububgur
+ggrrburgrgburuwrrubububrrbgruuguuuwwwgwwrgbruub
+ggbuugwurgbgrwggurugubwggbbbubrgurrwwburuggrrrgbbbbwg
+ggbrgrwuuwwbwbuwwwwgguwbbuwuwuwuwrwgwwubwwuwrb
+wrbrgugwrbwrwguggrrggbguwrguuwbwwrrubgbbbuwwrrbrg
+gbwbwrgrbwurwuggwwrwwgwrbbwrwwrbrrrrbuwuurrburruu
+bgugggbbburbbbrguurbgrugwwgggurugbuubuugubwrwr
+wrgbrrrbwwurbgbgbwbuuwbwwbugbgbugrwgwuuubugwrggwwbbbwggwgwrb
+wwbwbbrwrbruwrurwurwggwwbrbuugbugbrwgubggrr
+brbubbburuwgrbuwwuwrurrwwubrwugwbgburgwrggbwuwrguwgwuu
+rwurrbrggrrgbbgbuububrrwbguwrgbwruwgrrruburuurwwrwbuwgbbr
+bwggbuggrwuubrrwubuwrgwrbuwwurugrbbguuwrrugbgburggububww
+gruuwburbbgbrbwgugwgwuurgububuwugguwuwwrbw
+grrbgwbwrbrwgwrwuugwbbgrrggggwuwgwugbbgugwbrugwbwu
+rugruggwruburugwugrgwbugwwugwuwrrgrgrggubrgbwgwwwg
+urubrbgbgrgwwgwbrgbbwbrruuruuruuururggubwr
+burbwguggwrggrwggubuurrgwbgwggwrugwwuubgrbwbgrrbug
+wwbwgrrwbwwbrugrbgwgwgrwwggwbrbwbgggguuubwbgbburguggub
+urrbbbburgwbwbbwrgubbggrwbbubuwrgggubggwrb
+ggugrbggurrbggrwruwgrbrwgwbuurrgrwwwgugurrrbwgbbrbbggwrb
+bwgubwruwrgbrbwgbwbbgbwbgrbbruubbuugwburwrb
+gwrbbrwugurrbugrbgruwruwrwwguwubwubwbrwgrruggrr
+rwgubrrugrwwwubrwwwrbrwwrbgruwgrubbgwgrwrb
+brrbwgwgwggugbgrrrrgggubbwwwuururbgbrwugwbrbrbwuuwru
+urbrurgrbgguguguuruwurgugwwgrubggbgbwwwgrbugubwggr
+rbgruguwrurwbgwgurrwrrrggugrwwbrbrbwgubuwubruubwrurrgwbgbwrb
+ggbwuuuwggggrububwwrurgbrbrubbwgbbbgbbbgbwuwwgggbwrbuwrb
+rbbbburwggwurrrrbggwgwwrurubwbgbrbruguwwrwrgggrugubw
+rgwgwwrgbrgrwgrrbrburwbwuugbgrwwwggrwrbbwrb
+ubgrwwwuubwwwwgbbrurbuuruuurrbuwggbbuurgrrwrgwb
+wgwwuruurbgwruugrwgrbugrbbwbgwwgguubrwrrbr
+bwrwubggwgrrubgrrwuwuuugruuuubuwbrbbwrrbgrwugwgwugrguwrb
+rguwgwugururbwwgwwwgwgwbugubbrbrgwrwgguguwbwruwrrrbgbu
+wuuuugurbwrgbuugbrrwgggwwwrwrrrrgwrwggwrbb
+wwbwbugrwbbuwwwrwrrrubrbgwwwburwgbgbwwbuwrwugguurbg
+ubgbuubgrrwruwugwbwbwbwwgbwbuurwwuwbubwrbug
+uubgrgrrugubggggwgrbgbrwrwbrgrwbbwgrburrbr
+gbwwugwbgggrbguurbrburbwwrugguwbugwwugbuwwbguu
+wuwgrgrgwgrbuwgrbgburuuwrbwguuwuruwgbwwubwwbururbw
+wwrwgugurwrbbbrwbwubggguuwrwbuurbwbwubggbbuurrwwbubuwrg
+bburgruburubrbwrwwwbrgrbuwgwrwggurburubrgwgbbruw
+ubrwbwubbbbwbwgruwuuwbrgbuwwuwuurrrwrrrwgb
+wwwwrbrrguwugugbgrggrubbrgrurggbgbuwwbrgggwuguwugbrwg
+rbrbbuwrubbbugbgwgurggrgbwrrurbburwrwggruwrubgbgwwuuu
+wuuugbgwgggburrrrgwbubbbgrubbgburwrbugbbwbwggrgrg
+rugwgubuwurrguwbwwurrggrgrurgwbbwbubwwgbgrubruuuwwbu
+bgburwubrrwburrbwgwuwwwwurwuuwbgbgrwggubuwubwwggrwrb
+uurbururruggwrwuwbguwwwbbwrbbwrggwrgbwwugwrwuwrw
+bburugbugwwwwggggwruwwggrwwrbrrbwgbbbuwgwgbwwwubgrgbwrw
+rgggubrrbgugguwwuuwurgubgwrbuwubwburwuubrgb
+rwrgwbrbbwrbuwwuurgwuwwbrbrwuububrgubbrbwrguruuub
+uuugrguwruwwuwuuwgbbrrwwgruuwbbgwguwwruuwrb
+bubbubgwwuurgwrbuuurrwrwwrurwgbwugguwgbbggggww
+uwruwuguubrrbbggbgrbwrwwwbwwwggggruuuguuugbwrwwrgw
+gururwuubwbbugububgwugbugguwuwgwrugbrwrwrb
+wrrbwuuwbwbubgwrruwgguwgrbggubrgbgugrrgrubwwwbwbr
+rbgwbgwububrrrwbuwwwwgrurwrbwrgurwruggguggurrrubbbwrwgww
+wggbrggbrrgbrrgrggwbbwurbbrgugugrbrgrwwbrgubwrwuuruubwugwrb
+rrgbggurbrwuwrgrbbwwubguwgurugurwurwbgwrrbbwwuwwbg
+wbbggrwrgruwgrbrgburwggrrbbbguurgubbuwbruwwrggrbr
+wubugrwrrwuuugwuubgrubbbbgurguwgrwgruwwruguburwuwu
+wbwuggubbrwugwbwrrwurgubuurrrubrgwbruugrgbrrbrugbwrruwuubwrb
+rrbuwruwguburwgugrwgwuguwuubgurggrbuugbuwrb
+wrrbuwggurrggwubgwwuggbwuuwwurrrwwrwurrburgwbwugrgbuwwrwrb
+grrurwggwgruwrrbbwuugrwgrgggbrgubggbugugrwrb
+wwwrwbuuwgbugbwurrgwuwbuuwrbuurugurwbuuuburrurwrb
+ruruggbgwbggrwwrwrbrrgwuguwwrwurrguwugurbbruwbrwuu
+uwuuggwurgbwrrrbruwrrwrurgrwrbrwugrwbbburwurbwbru
+rrbwuwgrwuugwguugbrwgubrbubgguwrugrwbwrrbggbgrrrugrbbgr
+rgggrbugbubburuwwbrrrbuubrrwubuuuwgbgguuuurrubrwwuwwugrbwrb
+urrgwwwrgwrrgurrgwbbrggwrgubwgwwwugruuubuuwggbuur
+gbuguuwwrbggrwrrubwwgrbwrurugrwrguuuugwgwrrrgubgbwb
+gwugrrwrgubuwggwrrguubugwrbururwgbwgbbugwwwrb
+bruuwuwbgrbrwbwwubrbbwrgwubgggwugbuwgbrwbbwruubgwbbrwwwubg
+wwgurbbbbbwbwwrwguwbrururbwurgbgwurrurbgur
+wwrgwuurruwuwugbbrwbwrbbbuwgwwububrwwgggbguwrgwrwrrub
+gugwrrrwugugruuwrguwbwwubbggrwbgbwrugbuwrb
+rgubwgbggwbbwggwgggrrrgggbuwwrgrwggggrrgwr
+gbgrbggbgggggbgugwgubggwrwwwrwgrbrguwuwgwrbbrbuwwgrwuwrb
+wwbgrrggrbgrbwbrrrbwrwrwbwrbrrwbwuugggwrb
+wbbwbwbgrbwwwuguubbwgugrugbbrbbggrwwurururwggw
+uguwrggruugrgwwuubbrbbbgbbgugurruwruwbugwrugubwwbgbwg
+ruwbwbrubggruwbrwrurbrrrbgrrwrrgbubbrwrwurwuubwbrruburwuwrb
+ugrrbgbbugruruwbgbbbgwbuwgbwugurbrwbgurggbubwwrbb
+wbbwrwrwgurubwgbrgwgrgggrguruubburrubwugggrrwgbbrugw
+uugwubrgwuuwbrrrbgruuwruwwbuuubgwuwwwuwbruguuuwgrbrwrb
+gugubrrggwbuugubrbgwgbubwwgrrurubwwrbbwbrgrr
+wrggwguuguuwbgburwwgwgwbruwrgrrwuwwrgbgugurwggbbg
+wwuugbgggubwwwgrgrbguguwgwwwgbuwgbugwgwwguwrug
+uwuurugbwgbrrbgbbuuwuggbrbrwubwbrggwbgrubbrrggbuubu
+gwggubgwgubguwrbggbwwgbuurbbuubuwwugbubwbgbbruu
+bbubugbuwwgbgubrbrguwggbbugggbuwuubbwgrwgwg
+rrrrwugwuurrrbggrbwbrbrugbrbubugrbubbrguwwwwwrrgwgbuugbu
+wrurguruugbwrwbgguggbwruwgbbwgguurwbgubwruuwru
+rwbbwbrbwuwrubgbgwrbbuwbgubrgbwrrwwuwgbrwgurgubburuug
+ggwubrwwuggrrwbuuubwwgbbgwurwgrgwwuwubbrgruurugwuguggurg
+bbrugurbrurbgrbubwurrubbrbbgugwbbbwuuuwrb
+wwgwwbruuuruwggbbwuuuubgwbubrbgwbwwuruuguw
+gburwbwbgrbwbgrugbuwubgrrbrrggbuwwrwrwbguuuu
+uwuwgrbggbrwgwggwwgbrrwburuuguwbbwwwrgurbgurrwgwurguwrbwu
+rbwrbuwrwgbbwwggrbwbwwggrwguwggbwrgbrrubgubgugwbrruwwrb
+bbuggbgbwgwrrrggbubrggrurugubuwbwuguwbugrrggwuwbwrggbwb
+ugggrbwgwuubwwggggwuwwwruuugrrguwwbwubrrwugwrrurwgbg
+bwgrgbubgbuurggguubwwrwgbubgrrgrgugwrguwruwbrbwrwbbwbbbb
+wrrrbgrbggruggbbuwwuubrruwgbuuubgwbguurrubbubb
+rbwrrrrubruuwgrgrbgwwwurwurgwbugrbbwwgggugbu
+ugbggrgrguwwwggbruuruubwwgbwuggwbrwbwwbrbwubrubgbrrgwuwrwrb
+rwrbrubwbburrurbuwgrrrgurwgrwbrgwgwwrbwgbrwr
+wbwrbruubggrgwbbrbgrbuwwrrrbwwburwgwguubuwguwbrgubbwrbrbwrb
+rgrrbwrgwbbuuuruuwbrubbbuburguuburrbgrwbgruwru
+gwrgrrbubrwgurwgruwguurgruruubgubguggbbwwrb
+wgbbuwurburbwwurgbgbwgggruggwurbwuwbubrwrrwbburbgrwgug
+ubugbggwuwguwwwuwugwbwgwwuuuggrrrrubwwubwbwrwrrugwbwrgwuu
+rubggguguuwgbuwggrruwrwrgruruguurrubwuwrgruwwgrrurbwuw
+wurbburwrubbwbwrruwrbrbuuugurbwuwwgrbrbggwwbgugubrrg
+gugruugwruwuwrugbgurguguuwwbbrwrurrgubwbwbrgbwrb
+wugrbrbgwbbuuwrrgrbwgwrruuuubrbruwggurgbrg
+rurwugugguurgubwbuuuurrrwbrrurbwruurwugrubrgubwrub
+rubgwwrrwwwgguuggbwuruwwggbrubwbrwgubrrgrwwbuwggbbburwurbwrb
+wbbbggwuwbwwgguruwguwbugwgruwwrwrgggurwwuwbbwubgu
+bgbwbbwruuugugbrwburuwwrwbbbuggugbwubrrwgwugbwguguuuwru
+rbrwwwwwgbruwguuuuubruuurgbuubrwbrbrwurgburbub
+grruruwbrwwrbgrgbgrwuwrgwwuwbbwgrrrrrrrrrggbbbwbbbbu
+urrwbbbrwuggrggbgububbrbubuwggwuugwurbbbwbbrwrb
+rwwubggwrrbuurwwrrruuuruwggggwbbuwurrurugg
+bgrbrruwrrgrwbwruwbwbguugbrrggrbgububwbuubrububggugg
+rwruuwbuwruuwrrwgbwwrbwwwbwwrwwuuggbggwbbrbbbwwg
+rrgwrgwubgwrwugbuurgruburburuwwwbwwwwrgwwrgwrgrgg
+wgwrrgwwurrrubwgwrgbrbwgbbubrrrgugwwguubuwrbbb
+gurggwuurwwurwrggugwugrbwubggwwwugrbubwrubbuw
+uruuwurrggwbgrugrrbbubwbwwggbuuugwgrwbuuuugrrwbr
+wbbguguuwuubwwrbrbbrugwrwuuwgrggbbwurrubrrgwwrb
+rruuugbgbgrrwwrwgrbugburbubuuggurguugbwgggwrwwbubb
+brbgwwbgrugurrgurbbwbrwubbrbrrwugwrwugrwwrb
+buurubwuubrwbugwbbrrgwbgubrggubwurggwbrwwrrurubwrgrrg
+wbrbrrrgrrbwubwgrwubgrgrwuubbgwwwugbwruwugwwgubww
+uwrgbrubwbuubuurrrbwuguwbggurbubuwgwbwrggbggbwruwuggguwbw
+gwbwgbwbgrwbgbbbrwwggbgrurgrwguwgrbruuwbugwrbuwwbwrb
+guwbwbrwgbgrrrbbrbruwwbbuwwggbwrrbuubugwbrwrb
+wrubrurubbbuguurrbguugwurwuuuwgubrwbbgguwwbbbwwwrbwgwuwgr
+rurgbrrbwwbgwbubuggwugrubbgwwwrubuuwbgwgbgwugrrugrub
+rwugwrwwbuggwbugbbwrbwwruggbgrwuugruurgrbwwbuwwurubgbr
+bwbwuuubbgurgrgrbggrubuuwrugwgwuwggwrggbrbwubwgwguwwrb
+urrgurwuwwggrubgrrwrugbbgbbbgwrguggrbuggrgrgwrb
+wuwurrrrwbwgwwggurwuwbrrgrburggbwgrggbgrbrrggburrggwwrb
+ubugrbugubbwgbbbwwgwgwgbguwwbrgbrgwubbwgwwruubgrgrrrb
+gurwwrggbbbburwbgububbrwrggbuwgbwrbrrugburgrgbu
+ubgbbrrbubrrubbggrbgwbwrbrwubwuurgwbburwwgr
+gwbrrgwgubbbbrrubwgrguguggwwrbggrwrwuuururwrwguwgrbuwbuuwrb
+ggbubbbbwruuggrwwuuwbbwubgbururrggrbbwgwrb
+rgbbrgrwgrruwrwbuurgugbrububrugbgwruwbrurbrwwuwbbrgbbrugr
+urruuurggrwgugbgrwgubrbbbbwuwrrwgrubrurgrbuwrgwu
+bbwwwwrbbuwubgrrgurbbruwrbrwguwrbwrurwwwbbuwgruubwwwrb
+rbrggubbuwguwbggbrrbbwrrurrrbuuuggugububbbbwrrwb
+ugwgwwwrwruugwrwrbuggwuuwgbubwgrbrwwgrggrrgrbrbgbbwgwrb
+ggugburbbrgrrwgwbwbwruuwugrbrrrurgwrbrrbrwubr
+ububbrggggrbruugrubrwrbgbwggwrbrwubggubgggrrgbubrrgrwrb
+rrgwwwrugrurwuggggwrbbwugwwwwububgbrbguwwwguwguwrb
+uuwwwrbgrrbwgwuwrwwwgwwwrbbrbuggwwuguurwgwrb
+gurrrubbgwubwuggrrwwbbubbrgbgubruwrgubggrwgrburrrrg
+uwugubuuwurruwruubgbgbwwggbrwgwgrbbuwugwrb
+wwwrbwrbwwgbrbrwbrggrgwrurrbrbwuruuburbubguwwugggrbwgwgb
+wbgugurgwrrbbwugwbrwuwrwruruwrrugrruugwuggggw
+rwbrwwgrgwwgrwgwbgwrwrwguubuwwbguwggubwggwwbww
+rggrruwggwrrgggbrruwrgbuggbbgbwbwgurwrugwbgwwwr
+gbbwrgwwrwgguurbggrbgbwggbbbuuwururrgrgwgbgg
+wbgruwwwubrbugwbuwuubwgrubguwgwbrubrgwwwgwbgwwrrugbgbub
+ugbwugubwgwbuggrurguwwubwrrurrbrgurrbrubwuwrwwwwwgwwgrwwbw
+wrwubuguggbrrbugwbwwwrguuuguubwuruugwbgwbguurgwwbggrwwbuwrb
+uuugbgrgwrugwguuuuurwgggrburwwgbwrurwbgrrwrb
+wbgwguuwbbuwggubrrwbgrgbwuwrgbubruwggbrrubbwg
+ubuwbrwbbbwbguuwgugrbuwwrgugwubgrburbgbbrrgrubbbbbu
+ugbubrurbgwgwwgrurbwugbwwwbbgbugbbbuggrwgrbugbgwwbuwrbuwrb
+wgrwwuugurbgrrgwwbwrubrgrrwwubgbuggwbbuwubu
+gbuwrwbrrrwrwbwwrgbugrbugbrurrgggrgwgwgrrbgubrr
+wugbuggubuggbrggubwgggbgbgbgurrgwwbrwwwwrb
+grgugwubbugurgbguwbgbrugwbugbrrwubwrwuwrgbrugrgwrwrb
+guruwwrurwurwugbbrbwwwwubuwrwuuwwugwruwbggbbb
+bguruwbbggggbgugrbgrrrgubbbrubwrrwrwubrwgrurw
+wbbrbbrgbbgguwbruuguwbbbrbrgrubgugwrgbrrgrwruguwrb
+wgrbrgbrgwurggggurwwwggubbggrrrgrubugwuggb
+bbwuwwrwrrubruuggwwbrurbgwururwggwwrrrurrww
+ubwuugrgwuuuwururbrguurgrbwwwrrwbwruwrgwururbugrwrru
+rgbbrwbbguggwbrwwbbgrburwbbwwgbrbwbbubwwrb
+uuwuuubgurwwggwwbbbgbgbwbrrgbrrwrbbuwwwgubgggbbrwbrr
+gbuurwggrrggbbrgbuuwrgrggrwgwwrwugugwbgwwbrr
+bwbrgwbrgwwubrgubbbuwbrubwrbgbrrbbbbwrwbgwguuuuubrgrgrw
+guwguururgwuwuuwgwbruguwbbubuwbrggwwugrwruruuugrwrb
+grgwuuwrbbgrrgggbwrugbgwbbbrwuuwuwgbwugwruurrrbbuggrwwwru
+buwggggwrrrruburwbrugrwrrgwuguwggwbwbgugrgugwwurbbburrggw
+ugrwgbbwwwbbgruubgguuruuuururwwbuugbgwwrgubrrbuwwugggw
+wbrbbugwgburbgrbgrurrbwwwrbwbwubbgrurrurwwrrbwgbugugw
+ugugwbwwgrrgrgbuubwrwbrrurrgbubggwrgbugwrgbggubbruubgw
+bwwubbgwwrrwruuruguugugrwgwubbguburuurwguwbwrwrb
+brrbwugubgwrgurrrgrbbrwrurugrugwuggwrgrbrwggwbbuwurrwwruwrb
+rwbbrbgwgbwguwgbgwurgrbuurugrrgwuwuurubrbgr
+uwwbuuwgbwgggwrububuugrwurgggwgbwbubuurgbwrrwbbrwuruwrrrb
+bbgwbwrrruurwwugbggbbguggguurrbbbbuubbwbwrwbrwurrbuwgrb
+gwgwbwgguwwrwugugwuuwurwgwgbuwgbgbwwuurwwggrubb
+rgburwwwuurrgbuwrgwrbugwwgguwwwgbubuuggrwbgubrwrgwugwbuwb
+gurrbwgburruggbrbuguugbguruwurbuugbrgbguguuuubwggrwgrrwbwwrb
+ruggwuwgbgguwwuburgruwrbgbubbwwugrbwuwwbrbrrwbg
+wwbrrgguwbbguubbuuuuugwbbrwrrgrruwrgwwrbbbbwgrgw
+bwbrwbwwrwwuugugugbrbrbrrbwrwrruguwuwwubbugwgurrr
+wggrwwubuwruwgugrguggugwbbggugruuggrwbggrwbbw
+gbgubgbwgurbwrrrgbuwwguwrrwwbwuwuwbgburrbgwbgwr
+grrububuwruwrubrgwwbrrgrbwugrggwbrgbwwrb
+uguuggrrwubrgrwggububbwgbbwgrwurwwwgwbubbbruggrwbrbgwrb
+brgurrbwwugubrrgurrbbrbuubbwwwwguwwgrwwugubgruruu
+wrwubrrwburuwbrgwwuggurwrrwbbruruuwuwuwubbubuuu
+bwbugbrrbwugbwrubuwbuwwubbbguwbrgwwurbgugrgrwgwuwwbwubgwrwrb
+bwguwgurgurrrbgbbbwbrrrwuwbrwubruuwrbwrb
+rbubgwbubuwwbubbrgwwgubgwwrrgbubrwbbrwwrbwwuwgbbwrb
+wrbbgwburwwwrgwggggrrbubbggrbgbggwurwruburwubrubrgr
+rggurrwwgururrgrwwwgrugwwbguurbbwbuwrwurrrbrggbbbbrwwr
+ugwwgwrgrgugrbbbbubrwrubrbguwbrwubgrwgrrgbgggwugw
+uwgrgbugbwbbggrgrbbgrwrbggrrwbbwbugwrwbrrwwuuwrb
+bguubugwggwguuggbguuwbgwbwruggwrbgbrrbwbrrbgwrbggwrbrrbu
+rgwwbubbbbuugubwbrwuwwrrruuwggrbbrbwguwruuubgbwwgwurbgbubg
+uuwbwbrwwubbrwuuuwuwwgggwwubburgwgwbrurrwbrbgbbburwgb
+wwrrbbwwbruwbgbggbrbbgrugubggwgggugrbuurgrbbgbuwu
+ugrbwbwwgggwrgbbguugrgggwrggbuuwuwubrgbruwbwrb
+ubggwbwguugbbubbgbbguubwuubrbwubrubrwguwwwrb
+rugburrbwruuwrwwgwrwggrubgwbuuubugbwuurgbg
+ggrwrruwggbubrurubgwrbwrgbwgwuwrbbbwbuugwubrubwuwbrbgbgubg
+grgwugwuwbgwuuwuugrgwwguwbburuubbbgubbuwgwg
+ruwrwrwwrwgwwrgbubgbrbrwwbgurrwrrgbruuwgrgrrrgurugugu
+brbwrgurrwgwrruwubrwwwrggbuururgrguwggwbbgrgubrw
+bbuwggrbugbbgbguugwuuwuubgwgbbrgugbgbwbrubbbgugwrgrgrgruuwrb
+wgbgbubuwrurbuuwgrugwrgrbrwrgwuwbbgwrrrrwrb
+wgwrgbbbuurubgwwrgwguururrubgbgwrbgwwwwwggggbrurgrr
+uwggrggrbrruwuruwbuwurrrwwwwbuggbguwuubwuwbubrrwrb
+ugubbwurwurgwwrburwuugrurguuwruwwrwbgruggwbwwwgwbb
+ubwgwbbgbrugguwrggubbrgrbgruuwugbgruuwggrbgwugugwugrrwwg
+wggrgugugubgrrrbugbbbwrrrwbwguuruugrwwrb
+bwgwwbrwbbubgwubrwwwgurbwbrwbubgbwbubwgbbggrrwbbgbwrbbrr
+gurwrbbbrbrurbrrbugrrrguurwwbbwugwbubuwrwbrgbgrwrbuuwrbuuw
+gwwwwuuubuguwwurubwwrggguwgbrbbbgbububgwrbwbubbruwbb
+uwwwbbggwrgbrgrubrurwrgugrbubuwwruugbwbgubugbuguuuuurbrgr
+rrbubwbuwrgrrugubbbuuuwwbwgurrwwgwburubwrwrb
+rurrbbgurbuuruwuuwrurrwbbggrrrgguwgwrurgrurubwrwwrb
+ugbugurrgggrgrbuuwgbuugrrgbuuwugbrwrrgbubbbbburuuuwww
+wuwgugruburwguwrwgwbwrbubbrbgwbrgbwruruwbbuwwwugurwgurwrbbb
+wugwbruwuggrruggrbgrgubuubgurbrrrruwrguububruubwugwwbbwbu
+grubuwwurrbbggwbwwwruuuuubwgwubwuubuuwrrrwgrururbggbbggw
+gwgrwbuwuwgwrubbgbugrgwbgrbwbuwgrggbwrrubbuggwbgrwgbggg
+uruwrwuwbrbrwwruwgurrugrbwguuubwrwwurubgrbgrgwwur
+rguubrwwgubuwwruruwbuggbrburgrgurugwwwwrb
+uuubuubggrugbgbgwgbbgburuwggrrggwrwruwgbuwwbrgu
+gwgrgugwgbwbuwbgwgbrguuguguugrrgrbuugugbrgu
+urgrwwwrgurwwrwwwggbgubbrgwwwruwubgbrgurguurwugrgwrb
+rubgwbrwbgrruuwbruwrgwbwbguwururubrgwrurbuubww
+brurbguurgbggwbbgwwwugbrbgwrwbrwrrbrwbugwuguwrbwru
+rwrbbguggugwwgrbrrwrbgruwrwwuugbrgurbwuguwwubgbgg
+wgrgbgbwbbggrwgrbbbrrwubgrbrbgwwururguwugbgrgrrug
+gwuurwubwwguggwwbbwwugrwgggwwurrrgrrrburguwwrrb
+guggrruwrbrugwrwgrbgurbgbrgwugwwwwbbbwwrwuwug
+uwgrrgrbbgwrggrwwwgbgbrbbrbuuburbbrbrugwurugwbburgbb
+wwwbbbwbbbrbgubrwbbrubugbrgrrrruuwgurrwwwruwgwrguw
+uuubuwgwrwugrbggggbruugbrruwuurubwwgwbwgurbgbuubbgwbuww
+wbrrwgbuwggubuggrugbwwbbbbwgwrrbgggrrrwrbgrbgg
+gbbbrwwggbugrbrrwrgbuwgbrrrwgwgubrruruurwguwb
+rrbbuwrbruwruwurbggburwwbwuuwrurbbwrbuurubggwrb
+rrubbuurrrgbrwwuwrbwgruuwbbwugrgubgbwwruwbburgbwb
+wrwugbbgrbgurubrwwwwwbbbruubwgrgburbwbrgbwbgwb
+wwrwugwbbrubugbrrgrwwbwbuwwwuugbbwguruggwgwrwgwrggwrgrgwgwrb
+bguwgugwbgwgubwwbwwrwubrrwubbwgrbwgggwuuwgrbgwgwgrwwggrb