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( - ) Ҕ. - . : _ (var s: ). (t: T; var s: ). (var t: T; var s: ). (s: ): boolean (s: ): T ( , , .) _ s . t - s. , - s ; , - t. (s) - , s . (s) , s , - s. , . . , - n. - : : array [1..n] of T; : integer; , [1],...,- []. , := 0 t: { < n} := +1; [] :=t; t: t := []; := - 1; , = 0. []. , - . , const N = ... type stack = record : array [1..N] of T; : integer; end; ( , .) - - . , procedure (t: T; var s: stack); begin | {s. , N} | s. := s. + 1; | s. [s.] := t; end; . - ( ) [ ]. - , : 1) . 2) , . 3) , [A] (A) . . (), [[]], [()[]()][] , ], )(, (], ([)] - . 6.1.1. , , . - , : ( 1 [ 2 ) -1 ] -2 . a[1]..a[n] - . , (. . 1 2). . - . ( ), . - , , - ; , , - , , () . , . _ (s); i := 0; _ := false; { i } while (i < n) and not _ do begin | i := i + 1; | if (a[i] = 1) or (a[i] = 2) then begin | | (a[i], s); | end else begin {a[i] -1 -2} | | if (s) then begin | | | _ := true; | | end else begin | | | (t, s); | | | := (t <> - a[i]); | | end; | end; end; := (not _) and (s); . (1) - , . - . , AB , A B - - [A] (A) - , A . . AB A ; B. [A] A - , - . A - - . (A). (2) , , . . - . , , ; . . , . , - , - (A) [A], ( ) A ( , - ). - . 6.1.2. , , - ? . , : , - , . 6.1.3. , - ; , - , . . : [1] ... [1], - [n] ... [n - 2 + 1] ( ). 6.1.4. k T, - n, C*(n+k), ( , - ) , . . - . : : array [1..n] of T; : array [1..n] of 0..n; : array [1..k] of 0..n. n 1..n, T. - , i j, [i] = j. ( [i] = 0, i - .) s- (s 1..k) : [[s]], s- - , - , . (s- ) <=> [s] = 0. , [1], ..., - [k] ( , 0) . - , , - . - ( = 0 - , ). : n=8 | a | p | q | d | s | t | v | w | k=2 | | | = , = <3,0,6,0,0,2,5,4> = <1, 7>, = 8 : 1-: p t q a (a-); 2-: s v (v-). procedure _; { } | var i: integer; begin | for i := 1 to k do begin | | [i]:=0; | end; | for i := 1 to n-1 do begin | | [i] := i+1; | end; | :=1; end; function _: boolean; begin | := ( <> 0); end; procedure (t: T; s: integer); | { t s- } | var i: 1..n; begin | {_} | i := ; | := [i]; | [s] :=i; | [i] := t; | [i] := [s]; end; function (s: integer): boolean; {s- } begin | := ( [s] = 0); end; procedure (var t: T; s: integer); | { s- t} | var i: 1..n; | begin | {not (s)} | i := [s]; | t := [i]; | [s] := [i]; | [i] := ; | := i; end; 6.2. . T, - , T. - , , ( - - ). . _ (var x: T); (t: T, var x: T); (var t: T, var x: T); (x: T): boolean; (x: T): T. - . , , ( ) , t. - ( ) - . - Last In First Out ( - ), - First In First Out ( - ). . 6.2.1. , - , . . - . . , - . : array [0..n-1] of T : 0..n-1, : 0..n. [], [ + 1],..., [ + - 1], n. (. , n, n .) : : := 0; := 0; : { < n} [( + ) mod n] := ; := + 1; ; { > 0} := []; := ( + 1) mod n; := - 1; = ( = 0); = []; 6.2.2. ( ..) - ( - T). n (- , ) n . . : , , . ( - , .) , - , - . , . , , , . , , ( ) . , - , . 6.2.3. , : . , - ? 6.2.4. ( ...) T T . . , - , . . (1) , . , , . (2) , ? - , , . . n - n , , - , n . . 6.2.5. n - , 2, 3, 5. . x2, x3, x5, , 2 (3, 5) , . procedure __ (t: integer); begin | writeln (t); | (2*t, x2); | (3*t, x3); | (5*t, x5); end; : __ (1); k := 1; { k - } {: k ; , , , , - } while k <> n do begin | x := min ( (x2), (x3), (x5)); | __ (x); | k := k+1; | ... x , ; end; . - . 2, 3, 5, . , . , x , - , ( , - ). x, . . ( 9). , , , . , - . p q; , p q. , - , . ( ; , .) 6.2.6. , , . . . , , . - , , . . . , ( - , ). - , - . , . , - . . - : while do begin | if then begin | | | end else begin | | { , } | | | | { } | end; end; , . 1) , - , . , , , . 2) , , , , - . . , . , . . 1..n. i Out[i] , Num[i][1],..., Num[i][Out[i]] , . . - , . 6.2.7. , n - (2 n) : - n ( (2 n)), n. - , (C n) C. . , - (n-1). , x y, x , y - n. - . , , . 6.2.8. k - n, n+k, ( , ) . . : ( ) , - ( , - 0). , ( ) - . , - . , - - - . : array [1..n] of T; : array [1..n] of 0..n; : array [1..n] of 0..n; : array [1..k] of 0..n; : 0..n; procedure _; | var i: integer; begin | for i := 1 to n-1 do begin | | [i] := i + 1; | end; | := 1; | for i := 1 to k do begin | | [i]:=0; | end; end; function _ : boolean; begin | _ := <> 0; end; function (_: integer): boolean; begin | := [_] = 0; end; procedure (var t: T; _: integer); | var : integer; begin | {not (_)} | := [_]; | t := [] | [_] := []; | [] := ; | := ; end; procedure (t: T; _: integer); | var , : 1..n; begin | {__ } | := ; := []; | { } | if (_) then begin | | [_] := ; | | [_] := ; | | [] := 0; | | [] := t; | end else begin | | := [_]; | | { [] = 0 } | | [] := ; | | [] := 0; | | [] := t | | [_] := ; | end; end; function (_: integer): T; begin | := [ [_]]; end; 6.2.9. . . - , - ( ). , , . - . 6.2.10. n , ( - ). - , , - , C*n . . . , . . - (?). , - , . - , . [] - . ( ) . - . . , - . : while | () do begin | end . . , ( , ). . : - (.. ) 180 ( - , ). ( ), - . 6.3. . - . () ; - T . {1..n}. 6.3.1. , n, {1..n}. C*n C C C*n C*n . array [1..n] of boolean. 6.3.2. , C. . . 6.3.3. : C*n C C C*n C C . - . 6.3.4 : *n *n C . , - . . - , n. 6.3.5. C*n. C C C*n ( ) C C*n C*n - C . a:array [1..n] of integer, k: 0..n; k - a[1],...,a[k]; . - ( ). 6.3.6. C*n. C C C*(log n) *n C*n . . - a[1] < ... < a[k]. . . 6.3.7. - , , - . ( 1..n.) C * ( , - ). . ( .) num[i] - , i, out[i][1], ..., out[i][num[i]] - , . procedure (i: integer); | { , i, i} | var X: 1..n; | P: 1..n; | q, v, w: 1..n; | k: integer; begin | ... X, P ; | writeln (i); | ... i X, P; | {(1) P = ; P i; | (2) i ; | (3) X - P; | (4) , | , X} | while X do begin | | ... - X v; | | for k := 1 to num [v] do begin | | | w := out [v][k]; | | | if w P then begin | | | | writeln (w); | | | | w P; | | | | w X | | | end; | | end; | end; end; (1) , - P. (2): v X, v , w . (3) . (4): X v, , v , . . , X , (, , ) P, P. while , , , for , . X - (. ), P - . 6.3.8. , , - : - , , ( - ) .. . , - : k, - , k, , k. 11 () 12 (). 6.4. . 6.4.1. , , n, i- n , i- ( - ). C*log n, - ( C*n ). . , - . , , - . - , . 6.4.2. - , , ( ), . , - ( ), ( ). - , ( ). . ( - ), x[1]..x[k], : x[i] ( ) x[2i] x[2i+1], - , , - . 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