Pascal Programming e-mail ! "#$ % %& • '() '& * +) + %, -% & % !./0 / /%/ 1 234 56 * *&7* 76 8 % 9 % !./0 &: #, 2+) + /%/ '* &*! ; * +) <=* !./0 % 3&> () & / &&? ' @ • ) 0 % 0* 3) '* A# ' @ &* • +&B( !7C7 DE. F6 7* * &FG D 0! / D% /&E &; &* H&7 n 76 I$ '* FG J* !/ @ '6 % '* 2 KLM 276 ! H&7 '6 !/ (M* D76 DE. '* % '* % H&7 k D ! w F/ '* !E. F6 7* * )! +%&N 2 ) %/ H&7 +%&N H&7 2)&* FG J* w/k !*&7 * @ ) %/ w/k / 1 '* '6 % '* 2D7?* DE. F/ 2D76 +&B( !E. F6 7* * % OP / OQ 2O &* H&7 ' @ ;&R * ) 0 !&7 '* 5/ H&7 & ) 0 +%&N H&7 ST> 3% U V % 2)&* (M* ! 6 0 7* % OQ F/ '* !E. / '6 % WU X n FG T* / C* /%/ % &H&7 T '6 n (* '6 E 7* '& * " F ! ' 6 ! / R 6 Y 2' & * ! ./ 0 7 6 $& % /%/ 7 ( E & H& 7 * ;&R F 7X '* M +%&N !*&7 Z '6 ' @ '* 26 7* H&7 n ! 0; 'X [ &/ &* H&7 &) /%/ * 2 Q F/ 2OP / OQ 2O &/ &* H&7 &) /%/ ** 2 O / 2OQ &/ &* H&7 &) /%/ * / OP ** 2OP / P 2O n! % % k D,% %\ T 2 ] ≤ k ≤ ^ k / ] ≤ n ≤ ** !./0 2 k = ^ n X $&% &* '6 E 7* '& * / n = * / O ** !./0 2 k = / n = * ;&R F 7X '* 76 '?& * 0 !" #$ % n &%' $( n! % ( % )* +,$- % - ./% 0 1 O !" #$%&' ( % M 3&>&% '* J&<@ &0 '* (M* _ D\ + % M F`%& ]Josephus^ - $/a &!/% ! %&V % '6 * !)% ) O F& - $/a 25/% / F& b7. % '(M@ 2B 1 &VG &* 2+ \M + ) * / W. DE * % !M6 0 F&V& * / / 6 H&EY / )&* -&EY!* F&)% ) 0! - $/a 7M\* % + B 7 &* + & 7)&* + &[6 &* J(/ &'*#X 6Y . % + 1 /%% % n /. . . 2 2O X D76! ST 3% U '* % 'cE X 1 5&[ & D76! deY F& % !\ % X / +6 f/) O X ;&Y D@! 9 % X& &! !,&* X / +) deY P / O 2 2 X A '* n = * _ : R &* !,&* % + &!,&* X / F&M A '* )! deY '6 % X / C* % n X '6 E 7* '& * 76 KLM )*+,- . +&B( g/% 1 6 =&6 %/ F ! ! @& @ &+ ) '* % d@ 1 '* h * 3&X_ d@ ;&R F 7X '* d@ 3%/&[ i& ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 3%/&[ i& &* F ! % ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ 6 %C =&6 % i= / d@ - j% T '& * 0 & 0% d@ 1 76 KLM '6 E 7* '& * 76! k&l % No & Yes 3%&?X !./0 % / +6 $&% % FG 3%/&[ i& % #$ 2 % 34 .% 5 6 , % 74 $ n89 % : % , % n ;- 5 6 +%<=$ #&* #/01' 2 )! KLM FG H> ;/. &* X +) ST N = {, , . . . , n} 'X [ /% ◦ X k 76! KLM % i ◦ j %# FG (i, j) '% '6 n × n !E& X H> ;/. % 97 % S 7 & N 'X [ 1l 6 D 0! +) + N 'X [ ak / . . . a¾ 2 a½ m7X '() x, y ∈ S '* !7T 2)&* '(E* ◦ X S &: &n / {a½ , a¾ , . . . , ak } ⊂ S 4:/ '6 D76 N 76 N % S o $ 3&X_ ($@ &* '6 E 7* '& * x ◦ y ∈ S D)&* p 0G % +) '() ◦ H> ;/. 2T* p n % / ]n ≤ ^ n X /%/ ;/ p % !./0 % )! KLM 0 X 1 &* p &( +) '() ak & a½ &X < /%/ E 7* p 1 % TU A '*% S 'X [ U&7X 76 '. ;&R '* Input 5 25421 33124 12345 52315 42315 210 Output 12345 )!-3 4*' 5 q> '* !T* ]!/&. &^ !#$/ &q* 2q&#( &'X [ f &6 / !, !\ % X f [ '6 '($@ %, FG &' &0 % ' @ '* n¾ & O X @ 2D& ! !/&. % n q* 1 2 n $ X $&% &* '6 E 7* '& * )&* /&E FG p, / 56 / F ( 2p 76 k&l !./0 % % n × n !/&. >4 $ % / ?, 3 = $1 % n= : @ D , $< A B E - n # $ " -C<% 1 ,$<A B " , $ +, $ - % ,FG"H -C<% 1 6 11 16 21 2 7 12 17 22 3 8 13 18 23 4 9 14 19 24 11 4 17 10 23 5 10 15 24 12 5 18 6 7 25 13 1 19 20 8 21 14 2 3 16 9 22 15 20 25 )0 6 $#78 9 6'BU 1 '/ 76! %&6 !?[X \) '* '6 '($& % !, '/ 1 !@&'* F7M /% * / )&*! ’Z’ & ’A’ && &* 6 % 6'BU +) \M !./0 % 1 / %^ 76! r FG /% sl T>/ 26 1 F %&M$ %&* &* % ./ 1l 6 sl 1 6 & s l 5& %& 6 ( * % ] )! )/% 2F * g & 0 3% U % / g & 0 2F * )/% 3% U 7(E g &0 F& % @ D@! 9 % ' &n (* % % 6 'BU 2% /% * +) &t !./0 !%* * T @ 3% U V % ) L k&l % /% * (6%&6 Z 27)&* g &0 &sl 5& t ;&R F 7X '* ) 0 k&l % /% * !EC u%<* d/Y 5i dY 2)&* &i )/% &sl % 6'BU !%* X )! k&l % /% * C dY 27)&* )/% sl &: #, t '98 % @ ) 0 %\ ' &n ] ≤ n ≤ ^ n X '& * /%/ ;/ "0 76 &'?) % '/ %&6 '6 E 7* '& * b / a ? R W U X / / ! E C u%< * & ? B 8 d Y 1 & ) T * " 0 n 5 6 ^ %&M$ F& 8/ a X 2+) + %&M$ 6 +7F&M /%/ (6%&6 7(E ] ≤ a < b ≤ 2 b − / . . . 2 a + 2 a + 2 a &F& !& % 6 F %&M$ F& / b X / 6 F &* /%/ p n % +) KLM &6 '6 76 I$ ! )/% 9 % 6 /% sl % % /% * +) k&l '()% 2!./0 % ] +M %\ %&*/ (6%&6 1^ 7(E 3/&B( C\ F&M 76 +&B( 'cE (* v% * ;&R Input 2 S26 Y49 Output AABBAAA
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