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㧗ᑓ䝥䝻䝁䞁25 ➇ᢏ㒊㛛 
኱㜰ᗓ❧኱Ꮫ㧗ᑓ 䝥䝻䜾䝷䝭䞁䜾◊✲఍
ཧຍ䝯䞁䝞䞊 
@kyuridenamida (5ᖺ)䚷䝯䞁䝞䞊 
@kagasantwi (4ᖺ)䚷䝯䞁䝞䞊 
@refiute (4ᖺ) 䝯䞁䝞䞊 
䝇䝨䝅䝱䝹䝃䞁䜽䝇 
@mecha_g3 (OB)䚷䝁䞊䝏ᙺ
⏬ീ᚟ඖ⦅
ၥ㢟 
● 2x2~16x16䛷⦪ᶓ䛭䜜䛮䜜➼ศ䛻ศ๭䛥䜜, 䝅䝱䝑䝣䝹䛥 
䜜䛯⏬ീ䛜୚䛘䜙䜜䜛 
● ⦪ᶓఱศ๭䛛䛜୚䛘䜙䜜䜛 
● ྛ䝢䜽䝉䝹䛾Ⰽ䛿24bitRGB䛷୚䛘䜙䜜䜛 
● ศ๭䛥䜜䛯⏬ീ䜢ṇ䛧䛟୪䜉䛛䛘, ඖ⏬ീ䛻᚟ඖ䛧䛶䛟䛰...
䛣䛣䛻䝞䝷䝞䝷䛾⏬ീ䛜䛒䜛䛨䜓䜝 
( 䠺ω䠺) 䎗
䛣䜜䜢䛣䛖䛧䛶… 
( 䠺ω䠺) 
≡䎗䎖≡
䛣䛖䛨䜓 
( 䠺ω䠺) 䎗
⦎⩦ၥ㢟䛸ホ౯ 
● 䜲䞁䝍䞊䝛䝑䝖䛛䜙150ᯛ⛬ᗘ⏬ീ䜢཰㞟 
● 䛭䜜䛮䜜䠏✀㢮䛾ၥ㢟䛻 
○ 2x2 ~ 5x5 (Small) 
○ 6x6 ~ 11x11 (Medium) 
○ 12x12 ~ 16x16 (Large) 
● 㓄⨨...
䝃䞊䝧䜲 
● 䛂jigsaw puzzle solver䛃䛸䛛䛷ㄪ䜉䜛 
● 䛔䛔ឤ䛨䛾㈎ḧ䜰䝹䝂䝸䝈䝮䛾ㄽᩥpdfⓎぢ 
● 䛣䜜䜢䝧䞊䝇䛻ホ౯⤖ᯝ䛜Ⰻ䛟䛺䜛䜘䛖䛻䜰䝺䞁䝆 
A fully automated greedy square ...
diff್ 
● 䝢䞊䝇a䛸b䜢r᪉ྥ䛷㞄᥋䛥䛫䛯᫬䛾୙୍⮴ᗘྜ䛔 diff[a] 
[b][r] 䜢䛩䜉䛶䛾a, b, r䛻䛴䛔䛶஦๓䛻ィ⟬䛩䜛 
● 㞄᥋㎶䛾ྛ䝢䜽䝉䝹䜢LABⰍ✵㛫䛻ኚ᥮䛧, ᕪ䛾䠎஌࿴䛾 
ᖹ᪉᰿(䝴䞊䜽䝸䝑䝗㊥㞳)䜢㎶...
┦Წ 
௨ୗ䛾᮲௳䜢‶䛯䛩䛸䛝, 䝢䞊䝇a, b䛿r᪉ྥ䛷┦Წ䛷䛒䜛䛸ゝ 
䛖. 
● diff[a][x][r]䛜᭱ᑠ䛸䛺䜛䝢䞊䝇x 
● diff[b][y][(r+2)%4]䛜᭱ᑠ䛸䛺䜛䝢䞊䝇y 
● a == y 䛛䛴 b == x 
...
᚟ඖ᧯స-1 
● ☜ᐃ῭, ᮍ☜ᐃ䝢䞊䝇㞟ྜS, T䜢⪃䛘䜛 
● ᭱ึ䛿䛩䜉䛶T䛻ධ䜜䜛 
● ึᮇ䝢䞊䝇䜢㑅䜃, T䛛䜙䛸䜚䛰䛧S䛻㏣ຍ䛩䜛 
● ௨ᚋ, S䛻㞄᥋䛧䛭䛖䛺䝢䞊䝇䜢T䛛䜙ྲྀ䜚ฟ䛧S䛻㏣ຍ䛩䜛 
䛣䛸䜢⧞䜚㏉䛩 
○ 䛯䛰䛧...
᚟ඖ᧯స-2 
● S䛻ྵ䜎䜜䜛䝢䞊䝇䛸㞄᥋㎶䛾ከ䛔✵䛝䝬䝇(ゅ䜔✰)䜢ඃ 
ඛ䛧䛶⧅䛢䜛 
● 㞄᥋ᩘ2௨ୖ䛾᫬ 
○ S䛻ྵ䜎䜜䜛䝢䞊䝇䛸┦Წ䛸䛺䜛䝢䞊䝇ᩘ(ඃඛ) 
○ diff್䛾ྜィ䛜୍␒ᑠ䛥䛔䝢䞊䝇 
● 㞄᥋ᩘ1䛾᫬ 
○ 䜒䛖䠍...
䝉䜾䝯䞁䝖ศ๭ 
᚟ඖ᧯స䛷ฟ᮶ୖ䛜䛳䛯⏬ീ䜢௨ୗ䛾᧯స䛷ศ๭䛩䜛. 
1. ௵ព䛻1䝢䞊䝇㑅䜃㞟ྜU䛻㏣ຍ䛩䜛 
2. U䛾㞄᥋䝢䞊䝇a䜢㑅䜆 
3. a䛾㞄᥋䝢䞊䝇䛾䛖䛱U䛻ྵ䜎䜜䜛䜒䛾䛩䜉䛶䛜┦Წ䛷䛒䜛 
ሙྜ䛻a䜢U䛻㏣ຍ䛩䜛 
4. ...
཯᚟ 
● 䝉䜾䝯䞁䝖ศ๭䜢䛩䜉䛶䛾ጞⅬ䛛䜙⾜䛔, ᭱䜒䝢䞊䝇ᩘ䛾ከ 
䛔㞟ྜV䜢౑䛖 
● V䜢ึᮇ䝢䞊䝇(」ᩘ)䛸䛧䛶᚟ඖ᧯స䜢⾜䛖 
● V䛾䝢䞊䝇ᩘ䛾ቑຍ䛜Ṇ䜎䜛䜎䛷⧞䜚㏉䛩
⤖ᯝ 
ၥ㢟ᩘ ṇ⟅ᩘ ṇ⟅⋡ 
2x2 ~ 5x5(Small) 151 149 98.68% 
6x6 ~ 11x11(Medium) 151 133 88.07% 
12x12 ~ 16x16(Large) 150 107 70.86% ...
ேຊಟṇ 
● 䜒䛧ṇ䛧䛟᚟ඖ䛷䛝䛺䛛䛳䛯᫬䛿, ே㛫䛜௓ධ䛧䛶ಟṇ䛩䜛 
● ᶆ‽ධฟຊ䛷䛾ᑐヰᆺ䝰䞊䝗䜢ᐇ⿦䛧, GUI䛛䜙㛫㐪䛔⟠ 
ᡤ䜢ᣦᐃ䛷䛝䜛䜘䛖䛻䛧䛯 
● 㛫㐪䛔⟠ᡤ䛿diff್䜢ᴟ኱䛻䛧䛶䜒䛖୍ᗘ᚟ඖ᧯స䜢㉮䜙䛫 
䜛䛣䛸䛷⡆...
䝟䝈䝹䝋䝹䝞䞊⦅
ၥ㢟 
● 2x2~16x16䛾䝇䝷䜲䝗䝟䝈䝹䛜୚䛘䜙䜜䜛 
● ⛣ື䛥䛫䜛䝬䝇(✵ⓑ䝬䝇䛻┦ᙜ䛩䜛)䛿௵ព䛻㑅䜆䛣䛸䛜 
䛷䛝䜛 
● 㑅ᢥ୰䛾䝬䝇䜢㞄䛾䝬䝇䛸஺᥮䛧䛶ື䛛䛩䛣䛸䛜䛷䛝䜛 
● 2~16ᅇ, ⛣ື䛥䛫䜛䝬䝇䜢㑅ᢥ䛧䛺䛚䛩䛣䛸䛜...
⪃ᐹ䝣䜵䜲䝈 
● 䝇䝷䜲䝗䝟䝈䝹䛿᭱㐺ゎ䛿NP᏶඲ၥ㢟䠈䛯䛰䛧ఱ䛛䛧䜙䛾 
ゎ䜢ᚓ䜛䛰䛡䛺䜙ከ㡯ᘧ᫬㛫䜰䝹䝂䝸䝈䝮䛜Ꮡᅾ䛧䛭䛖䠊 
○ ᐇ㝿䛻㐟䜆䛸ศ䛛䜛䛜䠈ゅ䛻Ẽ䜢䛴䛡䛴䛴ୖ䛾⾜䛛䜙 
㡰␒䛻䛭䜝䛘䛶䛔䛟ᡓ␎䛜㐺⏝ྍ⬟ 
● ௒ᅇ䛾ㄢ㢟䛸䛾...
䝃䞊䝧䜲 - ከ㡯ᘧ᫬㛫䜰䝹䝂䝸䝈䝮 
● 䛂sliding puzzle greedy䛃䛸䛛䛷ㄪ䜉䜛 
● 䝝䝜䜲䜒ゐ䜜䛶䛔䛯Ian Parberry䛥䜣䛾ㄽᩥ䛜ฟ䛶䛟䜛[1] 
https://larc.unt.edu/ian/pubs/s...
䝃䞊䝧䜲 - ᚟ඖྍྰุᐃ 
● ྑୗ䛜✵䛔䛶䛔䜛㏻ᖖ䛾䝟䝈䝹䛷䛿ุᐃἲ䛜䛒䜛http: 
//www.ajisaba.net/algorithm/slide_goal.html 
● 䛣䜜䛿n×m┙㠃(n䍻2 or m䍻2)䛻ᣑᙇྍ⬟ 
● ...
➨୍ẁ㝵 
● 䜰䝹䝂䝸䝈䝮 
a. ຍ㈡䝫䝆䜢㑅䜆 
b. H >W䛸䛺䜛䜘䛖䛻ᅇ㌿ 
c. ୖ1⾜䜢ᥞ䛘䠈ୖ1⾜䜢ྲྀ䜚㝖䛟* 
(䛯䛰䛧䠈⾜䛾᏶ᡂᙧ䛻㑅ᢥ䝬䝇䜢ྵ䜐ሙྜ䛿 2ᅇᅇ㌿䛧䛶཯ᑐഃᥞ䛘䜛 ) 
d. b~c䜢2×2䛻䛺䜛䜎䛷⧞䜚㏉...
➨୍ẁ㝵 ᡭ㡰c(1⾜ᥞ䛘䜛)䛾ලయ౛ 
● ┠ⓗ䝬䝇(1)䛻䛴䛔䛶㐺ᙜ䛻⤒㊰ぢ䛴䛡䜛 
● ⤒㊰䛻ἢ䛳䛶㑅ᢥ䝬䝇(11)䛜┠ⓗ䝬䝇䛾๓䛻᮶䜛 
(䛣䛾䛸䛝䠈┠ⓗ䝬䝇䛾఩⨨䜢ᔂ䛥䛺䛔䜘䛖䛻Ẽ䜢䛴䛡䜛) 
● 㞄᥋䛩䜛┠ⓗ䝬䝇䛾᪉ྥ䛻ື䛟 
● ...
➨୍ẁ㝵䛾䝇䝁䜰 
● ⲡཎ(⦎⩦ሙၥ㢟9)䛷 
㑅ᢥᅇᩘ1 
஺᥮ᅇᩘ 
11861(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
11355(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
䜘䛟䛺䛔
➨஧ẁ㝵 
● ᡭ㡰c䜢ᨵၿ䛧䛯䛔 
● 㑅ᢥ䝬䝇䜢ື䛛䛩᧯స䛾᥈⣴䛻, 䝎䜲䜽䝇䝖䝷ἲ䜢㐺⏝䛩䜛 
䛸䜘䛥䛭䛖 
● ┙㠃䛾ྛ䝬䝇(㑅ᢥ䝬䝇䛿⪃៖䛧䛺䛔)䛾䝬䞁䝝䝑䝍䞁㊥㞳 
䛜䛷䛝䜛䛰䛡ቑ䛘䛺䛔䜘䛖䛻㑅ᢥ䝬䝇䜢ື䛛䛩 
● 㑅ᢥ䝬䝇䛜ື䛟㒊...
➨஧ẁ㝵䛾䝇䝁䜰 
● ⲡཎ䛷 
㑅ᢥᅇᩘ1 
8219(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
7775(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
䜌䛱䜌䛱䜘䛔
➨୕ẁ㝵 
● 䛂┠ⓗ䝬䝇䛾᭱▷⤒㊰䛾☜ᐃ䛃䛸䛂䛭䛾䛯䜑䛾㑅ᢥ䝬䝇䜢ື 
䛛䛩⤒㊰䛾☜ᐃ䛃䜢ู䚻䛻⾜䛳䛶䛔䜛䛾䛿䜘䛟䛺䛔 
● 䛣䜜䜙䜢1䛴䛻䛧䛶,䛂┠ⓗ䝬䝇䜢ື䛛䛩䝎䜲䜽䝇䝖䝷䛃䛾୰䛷 
䛂┠ⓗ䝬䝇䛾㞄䛻㑅ᢥ䝬䝇䜢ື䛛䛩䝎䜲䜽䝇䝖䝷䛃䜢⾜䛖䜘...
➨୕ẁ㝵䛾䝇䝁䜰 
● ⲡཎ䛷 
㑅ᢥᅇᩘ1 
7165(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
6711(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
䜘䛔
➨ᅄẁ㝵 
● 㑅ᢥ䝉䝹䜢ື䛛䛧䛶┠ⓗ䝉䝹䜢ື䛛䛩ሙྜ,䝬䞁䝝䝑䝍䞁㊥ 
㞳䛿Ⰻ䛔ホ౯್䛷䛿䛺䛔䛣䛸䛻Ẽ䛵䛟. 
○ (0, 0)䛛䜙(4, 0)䜈⛣ື, 㑅ᢥ䝉䝹(1, 0)䛾䛸䛝 
■ LURRDLURRDLURRDL (16ᡭ) 
○ (...
➨ᅄẁ㝵 - 䜻䝳䞊䝸䝇䝔䜱䝑䜽㊥㞳 
11 12 13 16 
6 
7 10 13 
12 
1 4 7 
0 1 6 11 
18 
17 
16 
y 
x 
def kyuri(x, y): 
if x == 0 and y == 0...
➨ᅄẁ㝵䛾䝇䝁䜰 
● ⲡཎ䛷 
㑅ᢥᅇᩘ1 
6605(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
6321(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
䜘䛔ୖ䛻ᐇ⾜㏿ᗘ䜒䜟䜚䛸䛿䜔䛔
➨஬ẁ㝵 
● 1⾜ᥞ䛘䜛䛸䛝䛻䠈䝔䞊䝤䝹䜢౑䛳䛶䜏䛯䛔 
● 6×5(ᶓ㛗)┙㠃䛷ᕥୖ5䝬䝇ᥞ䛘䜛䝔䞊䝤䝹䜏䛯䛔䛺䛾䜢ண 
䜑⏕ᡂ䛧䛶䝣䜯䜲䝹䛻䛧䛶䛚䛟(⏕ᡂ䛻䛿⤖ᵓ᫬㛫䛜䛛䛛䜛) 
● ᣢ䛳䛶䛝䛯䛔5䛴䛾䝬䝇䜢䠈䝎䜲䜽䝇䝖䝷䛷6×5䛾㡿ᇦ䛻...
➨஬ẁ㝵䛾䝇䝁䜰 
● ⲡཎ䛷 
㑅ᢥᅇᩘ1 
6017(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
5711(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
䜘䛔
➨භẁ㝵(᭱⤊) 」ᩘ㑅ᢥ 
● 䛣䜜䛿䜋䜌༢㑅ᢥ䛻௜䛡ຍ䛘䜛ឤ䛨䛷䠈⊂❧䛻⪃䛘䛯 
● ඲䛶䛾ຍ㈡䝫䝆䝅䝵䞁䜢㑅ᢥ䛧䛶᥈⣴䛧䜎䛟䜛୰䛷䠈䝎䜲䜽䝇 
䝖䝷୰䛻୍␒䜒䛳䛶䛟䜛䛾䛻ⱞປ䛧䛯䝉䝹䜢ண䜑㑅ᢥᅇᩘ䜢 
౑䛳䛶┠ⓗ఩⨨䛻ᣢ䛳䛶䛔䛳䛸䛟䠊 
...
➨භẁ㝵(᭱⤊)䛾䝇䝁䜰 
● ⲡཎ䛷 
㑅ᢥᅇᩘ15 
5333(5034+299) (඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛷䛔䜛) 
䛹䛖䛺䜣䛷䛧䜗䛖䛽...
➨୐ẁ㝵䠄䜸䝬䜿䠅*ᮏ␒䛷䛿䛒䜣䜎䛧ά㌍䛧䛶䛺䛔䜰䝹䝂䝸䝈䝮 
● ୍ิᥞ䛘䜛䛸䛝䛻䠈22ᅇ኱఍䛷ஂ␃⡿䛜ྲྀ䛳䛶䛔䛯ືⓗィ 
⏬ἲ䛳䜍䛔䛣䛸䛾┿ఝ஦䜢䛩䜛䠊 
○ 䛔䛳䜁䛔䝔䞊䝤䝹䜢ิᣲ䛧䛶䠈ᕥୖ䛛䜙䛒䜙䜖䜛኱䛝䛥 
䛾䝔䞊䝤䝹䜢ヨ䛧䛶(䛭䛾ᯟ...
➨୐ẁ㝵䛾䝇䝁䜰 
ⲡཎ䛷 
㑅ᢥᅇᩘ1 
5853(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
5660(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 
඲㑅ᢥ䛾䛸䛝䛾䝁䝇䝖䛿┬␎
PRO - GUI(䛚䜎䛡) 
● 䛒䜙䜖䜛䜒䛾䜢⮬ື໬ 
○ ၥ㢟ྲྀᚓ(⮬ື䝸䝖䝷䜲ᶵ⬟௜䛝) 
○ ⏬ീ᚟ඖ 
○ 䝟䝈䝹ᅇ⟅ 
○ ᥦฟ 
● ┤ឤⓗ䛺⏬ീ᚟ඖ䛾㛫㐪䛔ゞṇᶵ⬟ 
● ౽฼䛺䝅䝵䞊䝖䜹䝑䝖䜻䞊 
● 䝋䝹䝞䛿᭱኱4䛴ᣦᐃྍ...
第25回高専プロコン競技部門(府大高専)
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第25回高専プロコン競技部門(府大高専)

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gitリポジトリ: https://bitbucket.org/opuctplab/procon25

府立大学高専プログラミング研究会

Published in: Engineering
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第25回高専プロコン競技部門(府大高専)

  1. 1. 㧗ᑓ䝥䝻䝁䞁25 ➇ᢏ㒊㛛 ኱㜰ᗓ❧኱Ꮫ㧗ᑓ 䝥䝻䜾䝷䝭䞁䜾◊✲఍
  2. 2. ཧຍ䝯䞁䝞䞊 @kyuridenamida (5ᖺ)䚷䝯䞁䝞䞊 @kagasantwi (4ᖺ)䚷䝯䞁䝞䞊 @refiute (4ᖺ) 䝯䞁䝞䞊 䝇䝨䝅䝱䝹䝃䞁䜽䝇 @mecha_g3 (OB)䚷䝁䞊䝏ᙺ
  3. 3. ⏬ീ᚟ඖ⦅
  4. 4. ၥ㢟 ● 2x2~16x16䛷⦪ᶓ䛭䜜䛮䜜➼ศ䛻ศ๭䛥䜜, 䝅䝱䝑䝣䝹䛥 䜜䛯⏬ീ䛜୚䛘䜙䜜䜛 ● ⦪ᶓఱศ๭䛛䛜୚䛘䜙䜜䜛 ● ྛ䝢䜽䝉䝹䛾Ⰽ䛿24bitRGB䛷୚䛘䜙䜜䜛 ● ศ๭䛥䜜䛯⏬ീ䜢ṇ䛧䛟୪䜉䛛䛘, ඖ⏬ീ䛻᚟ඖ䛧䛶䛟䛰䛥 䛔
  5. 5. 䛣䛣䛻䝞䝷䝞䝷䛾⏬ീ䛜䛒䜛䛨䜓䜝 ( 䠺ω䠺) 䎗
  6. 6. 䛣䜜䜢䛣䛖䛧䛶… ( 䠺ω䠺) ≡䎗䎖≡
  7. 7. 䛣䛖䛨䜓 ( 䠺ω䠺) 䎗
  8. 8. ⦎⩦ၥ㢟䛸ホ౯ ● 䜲䞁䝍䞊䝛䝑䝖䛛䜙150ᯛ⛬ᗘ⏬ീ䜢཰㞟 ● 䛭䜜䛮䜜䠏✀㢮䛾ၥ㢟䛻 ○ 2x2 ~ 5x5 (Small) ○ 6x6 ~ 11x11 (Medium) ○ 12x12 ~ 16x16 (Large) ● 㓄⨨䛿䛩䜉䛶䝷䞁䝎䝮 ● ṇゎ䛾㡰ิ䜢䝁䝯䞁䝖㒊ศ䛻ᇙ䜑㎸䜏, 䝏䜵䝑䜽䜢⡆༢䛻䛷 䛝䜛䜘䛖䛻䛧䛯 ● ၥ㢟䜢㐃⥆䛷ゎ䛛䛫, ⤫ィ䜢ྲྀ䜛䝇䜽䝸䝥䝖䜢᭩䛔䛯
  9. 9. 䝃䞊䝧䜲 ● 䛂jigsaw puzzle solver䛃䛸䛛䛷ㄪ䜉䜛 ● 䛔䛔ឤ䛨䛾㈎ḧ䜰䝹䝂䝸䝈䝮䛾ㄽᩥpdfⓎぢ ● 䛣䜜䜢䝧䞊䝇䛻ホ౯⤖ᯝ䛜Ⰻ䛟䛺䜛䜘䛖䛻䜰䝺䞁䝆 A fully automated greedy square jigsaw puzzle solver http://www.cs.bgu.ac.il/~obs/Publications/2011-Pomeranz_Shemesh_and_Ben_Shahar-A_Fully_Automated_Greedy_Square_Jigsaw_Puzzle_Solver.pdf 䈜ᮾ኱䝏䞊䝮䛿䜒䛳䛸᪂䛧䛔⢭ᗘ䛾㧗䛔ゎἲ䛾ㄽᩥ䜢ぢ䛴䛡䛶䛭䛱䜙䜢౑䛳䛯䛭䛖䛷䛩
  10. 10. diff್ ● 䝢䞊䝇a䛸b䜢r᪉ྥ䛷㞄᥋䛥䛫䛯᫬䛾୙୍⮴ᗘྜ䛔 diff[a] [b][r] 䜢䛩䜉䛶䛾a, b, r䛻䛴䛔䛶஦๓䛻ィ⟬䛩䜛 ● 㞄᥋㎶䛾ྛ䝢䜽䝉䝹䜢LABⰍ✵㛫䛻ኚ᥮䛧, ᕪ䛾䠎஌࿴䛾 ᖹ᪉᰿(䝴䞊䜽䝸䝑䝗㊥㞳)䜢㎶䛾䝢䜽䝉䝹ᩘ䛷๭䛳䛯್䜢⏝ 䛔䛯
  11. 11. ┦Წ ௨ୗ䛾᮲௳䜢‶䛯䛩䛸䛝, 䝢䞊䝇a, b䛿r᪉ྥ䛷┦Წ䛷䛒䜛䛸ゝ 䛖. ● diff[a][x][r]䛜᭱ᑠ䛸䛺䜛䝢䞊䝇x ● diff[b][y][(r+2)%4]䛜᭱ᑠ䛸䛺䜛䝢䞊䝇y ● a == y 䛛䛴 b == x 䈜(r+2)%4䛿r䛸㏫ྥ䛝䜢⾲䛧䜎䛩
  12. 12. ᚟ඖ᧯స-1 ● ☜ᐃ῭, ᮍ☜ᐃ䝢䞊䝇㞟ྜS, T䜢⪃䛘䜛 ● ᭱ึ䛿䛩䜉䛶T䛻ධ䜜䜛 ● ึᮇ䝢䞊䝇䜢㑅䜃, T䛛䜙䛸䜚䛰䛧S䛻㏣ຍ䛩䜛 ● ௨ᚋ, S䛻㞄᥋䛧䛭䛖䛺䝢䞊䝇䜢T䛛䜙ྲྀ䜚ฟ䛧S䛻㏣ຍ䛩䜛 䛣䛸䜢⧞䜚㏉䛩 ○ 䛯䛰䛧⏬ീ䛾ศ๭ᖜ㧗䛥䜢㉸䛘䛺䛔䜘䛖䛻䛩䜛
  13. 13. ᚟ඖ᧯స-2 ● S䛻ྵ䜎䜜䜛䝢䞊䝇䛸㞄᥋㎶䛾ከ䛔✵䛝䝬䝇(ゅ䜔✰)䜢ඃ ඛ䛧䛶⧅䛢䜛 ● 㞄᥋ᩘ2௨ୖ䛾᫬ ○ S䛻ྵ䜎䜜䜛䝢䞊䝇䛸┦Წ䛸䛺䜛䝢䞊䝇ᩘ(ඃඛ) ○ diff್䛾ྜィ䛜୍␒ᑠ䛥䛔䝢䞊䝇 ● 㞄᥋ᩘ1䛾᫬ ○ 䜒䛖䠍䝢䞊䝇ඛ䜎䛷ㄪ䜉, ୖ䛸ྠ䛨ホ౯䜢⾜䛖
  14. 14. 䝉䜾䝯䞁䝖ศ๭ ᚟ඖ᧯స䛷ฟ᮶ୖ䛜䛳䛯⏬ീ䜢௨ୗ䛾᧯స䛷ศ๭䛩䜛. 1. ௵ព䛻1䝢䞊䝇㑅䜃㞟ྜU䛻㏣ຍ䛩䜛 2. U䛾㞄᥋䝢䞊䝇a䜢㑅䜆 3. a䛾㞄᥋䝢䞊䝇䛾䛖䛱U䛻ྵ䜎䜜䜛䜒䛾䛩䜉䛶䛜┦Წ䛷䛒䜛 ሙྜ䛻a䜢U䛻㏣ຍ䛩䜛 4. U䛻㏣ຍ䛷䛝䜛䝢䞊䝇䛜䛺䛟䛺䜛䜎䛷2,3䜢⧞䜚㏉䛩
  15. 15. ཯᚟ ● 䝉䜾䝯䞁䝖ศ๭䜢䛩䜉䛶䛾ጞⅬ䛛䜙⾜䛔, ᭱䜒䝢䞊䝇ᩘ䛾ከ 䛔㞟ྜV䜢౑䛖 ● V䜢ึᮇ䝢䞊䝇(」ᩘ)䛸䛧䛶᚟ඖ᧯స䜢⾜䛖 ● V䛾䝢䞊䝇ᩘ䛾ቑຍ䛜Ṇ䜎䜛䜎䛷⧞䜚㏉䛩
  16. 16. ⤖ᯝ ၥ㢟ᩘ ṇ⟅ᩘ ṇ⟅⋡ 2x2 ~ 5x5(Small) 151 149 98.68% 6x6 ~ 11x11(Medium) 151 133 88.07% 12x12 ~ 16x16(Large) 150 107 70.86% 䈜㐺ᙜ䛻ᣠ䛳䛶䛝䛯⏬ീ䛺䛾䛷 , ゎീᗘ䛜ప䛛䛳䛯䜚ຍᕤ䛥䜜䛶䛔䜛≀䜒ྵ䜎䜜䛶䛔䜎䛩 .
  17. 17. ேຊಟṇ ● 䜒䛧ṇ䛧䛟᚟ඖ䛷䛝䛺䛛䛳䛯᫬䛿, ே㛫䛜௓ධ䛧䛶ಟṇ䛩䜛 ● ᶆ‽ධฟຊ䛷䛾ᑐヰᆺ䝰䞊䝗䜢ᐇ⿦䛧, GUI䛛䜙㛫㐪䛔⟠ ᡤ䜢ᣦᐃ䛷䛝䜛䜘䛖䛻䛧䛯 ● 㛫㐪䛔⟠ᡤ䛿diff್䜢ᴟ኱䛻䛧䛶䜒䛖୍ᗘ᚟ඖ᧯స䜢㉮䜙䛫 䜛䛣䛸䛷⡆༢䛻ᐇ⌧䛷䛝䜛 ● ᮏ␒䛷䛿඲䛟౑䜟䛺䛛䛳䛯(඲䛶୍Ⓨ䛷ᥞ䛳䛶䛧䜎䛳䛯)
  18. 18. 䝟䝈䝹䝋䝹䝞䞊⦅
  19. 19. ၥ㢟 ● 2x2~16x16䛾䝇䝷䜲䝗䝟䝈䝹䛜୚䛘䜙䜜䜛 ● ⛣ື䛥䛫䜛䝬䝇(✵ⓑ䝬䝇䛻┦ᙜ䛩䜛)䛿௵ព䛻㑅䜆䛣䛸䛜 䛷䛝䜛 ● 㑅ᢥ୰䛾䝬䝇䜢㞄䛾䝬䝇䛸஺᥮䛧䛶ື䛛䛩䛣䛸䛜䛷䛝䜛 ● 2~16ᅇ, ⛣ື䛥䛫䜛䝬䝇䜢㑅ᢥ䛧䛺䛚䛩䛣䛸䛜䛷䛝䜛 ● 䛷䛝䜛䛰䛡ᑡ䛺䛔஺᥮ᅇᩘ, 㑅ᢥᅇᩘ䛾ᅇ⟅䜢ồ䜑䛶䛟䛰䛥 䛔
  20. 20. ⪃ᐹ䝣䜵䜲䝈 ● 䝇䝷䜲䝗䝟䝈䝹䛿᭱㐺ゎ䛿NP᏶඲ၥ㢟䠈䛯䛰䛧ఱ䛛䛧䜙䛾 ゎ䜢ᚓ䜛䛰䛡䛺䜙ከ㡯ᘧ᫬㛫䜰䝹䝂䝸䝈䝮䛜Ꮡᅾ䛧䛭䛖䠊 ○ ᐇ㝿䛻㐟䜆䛸ศ䛛䜛䛜䠈ゅ䛻Ẽ䜢䛴䛡䛴䛴ୖ䛾⾜䛛䜙 㡰␒䛻䛭䜝䛘䛶䛔䛟ᡓ␎䛜㐺⏝ྍ⬟ ● ௒ᅇ䛾ㄢ㢟䛸䛾㐪䛔 → ௵ព䛾఩⨨㑅ᢥ䠈㑅ᢥኚ᭦ ○ 䛒䜛఩⨨䜢㑅ᢥ䛧䛯䛸䛝䛻᏶඲᚟ඖ䛷䛝䜛䛛ุᐃ䛷䛝䛭 䛖䠊 ● 䛹䛖䛫Ỵ຾䛻䛿᚟ඖ䛷䛝䛶䛯䜙㐍䜑䛭䛖䛺䛾䛷 Ỵ຾䝃䜲䝈䛰䛡䝏䝳䞊䝙䞁䜾䛩䜜䜀䜘䛥䛭䛖
  21. 21. 䝃䞊䝧䜲 - ከ㡯ᘧ᫬㛫䜰䝹䝂䝸䝈䝮 ● 䛂sliding puzzle greedy䛃䛸䛛䛷ㄪ䜉䜛 ● 䝝䝜䜲䜒ゐ䜜䛶䛔䛯Ian Parberry䛥䜣䛾ㄽᩥ䛜ฟ䛶䛟䜛[1] https://larc.unt.edu/ian/pubs/saml.pdf ● ୖ⏺䛾ᘧ䜢ぢ䜛㝈䜚䛭䜣䛺䛻䜘䛟䛺䛥䛭䛖䛺䛾䛷䠈ヂ䛧䛯䜒䛾 䛾ᐇ⿦䛿䛫䛪䠊
  22. 22. 䝃䞊䝧䜲 - ᚟ඖྍྰุᐃ ● ྑୗ䛜✵䛔䛶䛔䜛㏻ᖖ䛾䝟䝈䝹䛷䛿ุᐃἲ䛜䛒䜛http: //www.ajisaba.net/algorithm/slide_goal.html ● 䛣䜜䛿n×m┙㠃(n䍻2 or m䍻2)䛻ᣑᙇྍ⬟ ● ୖグ䝃䜲䝖䛾౛䛷䛿䝂䞊䝹┙㠃䛿{1,2,3,4,5,6,7,8,0}䛰䛜䠈 ௵ព䛾✵䛝䝬䝇䛸┙㠃䛻䛴䛔䛶୺ᙇྍ⬟ ● ド᫂䛿┬␎ ● ௨㝆䠈෌㑅ᢥ䛺䛧䛷䝟䝈䝹䜢᏶ᡂ䛥䛫䜙䜜䜛䝢䞊䝇䜢 ຍ㈡䝫䝆(䝫䝆䝅䝵䞁)䛸࿧䜆
  23. 23. ➨୍ẁ㝵 ● 䜰䝹䝂䝸䝈䝮 a. ຍ㈡䝫䝆䜢㑅䜆 b. H >W䛸䛺䜛䜘䛖䛻ᅇ㌿ c. ୖ1⾜䜢ᥞ䛘䠈ୖ1⾜䜢ྲྀ䜚㝖䛟* (䛯䛰䛧䠈⾜䛾᏶ᡂᙧ䛻㑅ᢥ䝬䝇䜢ྵ䜐ሙྜ䛿 2ᅇᅇ㌿䛧䛶཯ᑐഃᥞ䛘䜛 ) d. b~c䜢2×2䛻䛺䜛䜎䛷⧞䜚㏉䛩 e. 2x2䜢ゎ䛔䛶⤊஢ ● *䛻䛴䛔䛶ḟ䛾䝇䝷䜲䝗䛷ヲ䛧䛟ㄝ᫂ H W (b) (c)
  24. 24. ➨୍ẁ㝵 ᡭ㡰c(1⾜ᥞ䛘䜛)䛾ලయ౛ ● ┠ⓗ䝬䝇(1)䛻䛴䛔䛶㐺ᙜ䛻⤒㊰ぢ䛴䛡䜛 ● ⤒㊰䛻ἢ䛳䛶㑅ᢥ䝬䝇(11)䛜┠ⓗ䝬䝇䛾๓䛻᮶䜛 (䛣䛾䛸䛝䠈┠ⓗ䝬䝇䛾఩⨨䜢ᔂ䛥䛺䛔䜘䛖䛻Ẽ䜢䛴䛡䜛) ● 㞄᥋䛩䜛┠ⓗ䝬䝇䛾᪉ྥ䛻ື䛟 ● 䛣䜜䜙䜢⧞䜚㏉䛩 ● ゅ䛰䛡≉ู䛻ື䛛䛧᪉ᇙ䜑㎸䜣䛷ฎ⌮䛩䜛 13 3 7 5 9 2 8 6 4 10 13 3 7 11 12 16 15 14 1 5 9 2 8 6 4 10 11 12 16 15 14 1
  25. 25. ➨୍ẁ㝵䛾䝇䝁䜰 ● ⲡཎ(⦎⩦ሙၥ㢟9)䛷 㑅ᢥᅇᩘ1 ஺᥮ᅇᩘ 11861(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 11355(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 䜘䛟䛺䛔
  26. 26. ➨஧ẁ㝵 ● ᡭ㡰c䜢ᨵၿ䛧䛯䛔 ● 㑅ᢥ䝬䝇䜢ື䛛䛩᧯స䛾᥈⣴䛻, 䝎䜲䜽䝇䝖䝷ἲ䜢㐺⏝䛩䜛 䛸䜘䛥䛭䛖 ● ┙㠃䛾ྛ䝬䝇(㑅ᢥ䝬䝇䛿⪃៖䛧䛺䛔)䛾䝬䞁䝝䝑䝍䞁㊥㞳 䛜䛷䛝䜛䛰䛡ቑ䛘䛺䛔䜘䛖䛻㑅ᢥ䝬䝇䜢ື䛛䛩 ● 㑅ᢥ䝬䝇䛜ື䛟㒊ศ䛧䛛ᙳ㡪䛧䛺䛔䛾䛷, ⡆༢䛻ィ⟬䛷䛝䜛
  27. 27. ➨஧ẁ㝵䛾䝇䝁䜰 ● ⲡཎ䛷 㑅ᢥᅇᩘ1 8219(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 7775(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 䜌䛱䜌䛱䜘䛔
  28. 28. ➨୕ẁ㝵 ● 䛂┠ⓗ䝬䝇䛾᭱▷⤒㊰䛾☜ᐃ䛃䛸䛂䛭䛾䛯䜑䛾㑅ᢥ䝬䝇䜢ື 䛛䛩⤒㊰䛾☜ᐃ䛃䜢ู䚻䛻⾜䛳䛶䛔䜛䛾䛿䜘䛟䛺䛔 ● 䛣䜜䜙䜢1䛴䛻䛧䛶,䛂┠ⓗ䝬䝇䜢ື䛛䛩䝎䜲䜽䝇䝖䝷䛃䛾୰䛷 䛂┠ⓗ䝬䝇䛾㞄䛻㑅ᢥ䝬䝇䜢ື䛛䛩䝎䜲䜽䝇䝖䝷䛃䜢⾜䛖䜘䛖 䛻䛧䛯
  29. 29. ➨୕ẁ㝵䛾䝇䝁䜰 ● ⲡཎ䛷 㑅ᢥᅇᩘ1 7165(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 6711(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 䜘䛔
  30. 30. ➨ᅄẁ㝵 ● 㑅ᢥ䝉䝹䜢ື䛛䛧䛶┠ⓗ䝉䝹䜢ື䛛䛩ሙྜ,䝬䞁䝝䝑䝍䞁㊥ 㞳䛿Ⰻ䛔ホ౯್䛷䛿䛺䛔䛣䛸䛻Ẽ䛵䛟. ○ (0, 0)䛛䜙(4, 0)䜈⛣ື, 㑅ᢥ䝉䝹(1, 0)䛾䛸䛝 ■ LURRDLURRDLURRDL (16ᡭ) ○ (0, 0)䛛䜙(2, 2)䜈⛣ື, 㑅ᢥ䝉䝹(1, 0)䛾䛸䛝 ■ LURDRULURD(10ᡭ) ● ᭱పᚲせᡭᩘ䜢䝎䜲䜽䝇䝖䝷䛾㔜䜏䛻౑䛖䜉䛝 ○ 䜻䝳䞊䝸䝇䝔䜱䝑䜽㊥㞳䛸࿧䜆
  31. 31. ➨ᅄẁ㝵 - 䜻䝳䞊䝸䝇䝔䜱䝑䜽㊥㞳 11 12 13 16 6 7 10 13 12 1 4 7 0 1 6 11 18 17 16 y x def kyuri(x, y): if x == 0 and y == 0: return 0 x = abs(x) y = abs(y) d = abs(x - y) m = min(x, y) ret = d * 5 + m * 6 - 4 if x == y: ret += 2 return ret 19
  32. 32. ➨ᅄẁ㝵䛾䝇䝁䜰 ● ⲡཎ䛷 㑅ᢥᅇᩘ1 6605(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 6321(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 䜘䛔ୖ䛻ᐇ⾜㏿ᗘ䜒䜟䜚䛸䛿䜔䛔
  33. 33. ➨஬ẁ㝵 ● 1⾜ᥞ䛘䜛䛸䛝䛻䠈䝔䞊䝤䝹䜢౑䛳䛶䜏䛯䛔 ● 6×5(ᶓ㛗)┙㠃䛷ᕥୖ5䝬䝇ᥞ䛘䜛䝔䞊䝤䝹䜏䛯䛔䛺䛾䜢ண 䜑⏕ᡂ䛧䛶䝣䜯䜲䝹䛻䛧䛶䛚䛟(⏕ᡂ䛻䛿⤖ᵓ᫬㛫䛜䛛䛛䜛) ● ᣢ䛳䛶䛝䛯䛔5䛴䛾䝬䝇䜢䠈䝎䜲䜽䝇䝖䝷䛷6×5䛾㡿ᇦ䛻ᣢ䛳 䛶䛝䛶䛭䛣䛛䜙䝔䞊䝤䝹ཧ↷䛧䛶ゎ䛟 ● 䛣䜜䜢1⾜䛻䛴䛔䛶㏲ḟ⧞䜚㏉䛧䠈䛭䛾⾜䛻䛒䜛䝬䝇䛜඲䛶 ☜ᐃ䛩䜛䜎䛷⧞䜚㏉䛩
  34. 34. ➨஬ẁ㝵䛾䝇䝁䜰 ● ⲡཎ䛷 㑅ᢥᅇᩘ1 6017(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 5711(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 䜘䛔
  35. 35. ➨භẁ㝵(᭱⤊) 」ᩘ㑅ᢥ ● 䛣䜜䛿䜋䜌༢㑅ᢥ䛻௜䛡ຍ䛘䜛ឤ䛨䛷䠈⊂❧䛻⪃䛘䛯 ● ඲䛶䛾ຍ㈡䝫䝆䝅䝵䞁䜢㑅ᢥ䛧䛶᥈⣴䛧䜎䛟䜛୰䛷䠈䝎䜲䜽䝇 䝖䝷୰䛻୍␒䜒䛳䛶䛟䜛䛾䛻ⱞປ䛧䛯䝉䝹䜢ண䜑㑅ᢥᅇᩘ䜢 ౑䛳䛶┠ⓗ఩⨨䛻ᣢ䛳䛶䛔䛳䛸䛟䠊 ● 䛰䛔䛯䛔ⲡཎ䛷500ᡭ䛟䜙䛔ᨵၿ
  36. 36. ➨භẁ㝵(᭱⤊)䛾䝇䝁䜰 ● ⲡཎ䛷 㑅ᢥᅇᩘ15 5333(5034+299) (඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛷䛔䜛) 䛹䛖䛺䜣䛷䛧䜗䛖䛽...
  37. 37. ➨୐ẁ㝵䠄䜸䝬䜿䠅*ᮏ␒䛷䛿䛒䜣䜎䛧ά㌍䛧䛶䛺䛔䜰䝹䝂䝸䝈䝮 ● ୍ิᥞ䛘䜛䛸䛝䛻䠈22ᅇ኱఍䛷ஂ␃⡿䛜ྲྀ䛳䛶䛔䛯ືⓗィ ⏬ἲ䛳䜍䛔䛣䛸䛾┿ఝ஦䜢䛩䜛䠊 ○ 䛔䛳䜁䛔䝔䞊䝤䝹䜢ิᣲ䛧䛶䠈ᕥୖ䛛䜙䛒䜙䜖䜛኱䛝䛥 䛾䝔䞊䝤䝹䜢ヨ䛧䛶(䛭䛾ᯟ䛻཰䜎䜛䜘䛖䛻ື䛛䛩᪉㔪 䛿ྠ䛨)䠈1ิ䛻䛴䛔䛶䠈[0,x)䛾䝢䞊䝇䛜☜ᐃ䛧䛶䛔䜛䛸 䛝䛾᭱ᑠ䝁䝇䝖䜢dp[x]䛸䛧䛶᭱ᑠ໬dp ● ṇ┤䛬䜣䛬䜣ワ䜑䜜䛶䛺䛔 ● ൅䛿䛣䜜䜢䜻䝳䞊䝸䝇䝔䜱䜽䝇䛸࿧䜃䛯䛛䛳䛯(?)䠊 ● 䝠䝳䞊䝸䝇䝔䜱䜽䝇䛸䛿㛵ಀ䛺䛔䠊 ● 䛶䛔䛖䛛㈎ḧ䛸䛭䛣䜎䛷⢭ᗘኚ䜟䜙䛺䛔ୖ䛻㐜䛔䠊
  38. 38. ➨୐ẁ㝵䛾䝇䝁䜰 ⲡཎ䛷 㑅ᢥᅇᩘ1 5853(㐺ᙜ䛺ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) 5660(඲䛶䛾ຍ㈡䝫䝆䜢㑅䜣䛰䛸䛝) ඲㑅ᢥ䛾䛸䛝䛾䝁䝇䝖䛿┬␎
  39. 39. PRO - GUI(䛚䜎䛡) ● 䛒䜙䜖䜛䜒䛾䜢⮬ື໬ ○ ၥ㢟ྲྀᚓ(⮬ື䝸䝖䝷䜲ᶵ⬟௜䛝) ○ ⏬ീ᚟ඖ ○ 䝟䝈䝹ᅇ⟅ ○ ᥦฟ ● ┤ឤⓗ䛺⏬ീ᚟ඖ䛾㛫㐪䛔ゞṇᶵ⬟ ● ౽฼䛺䝅䝵䞊䝖䜹䝑䝖䜻䞊 ● 䝋䝹䝞䛿᭱኱4䛴ᣦᐃྍ⬟

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