# & (Stack) # & Y LX < I eP" ; ,% 1, h #% &# Qh /I%#$} / 7 Q% c ,T : 2A .Q% QO 'h Z@K B #:O #$} Z@K $; 2& :O, 0A (Top)2A /j K6X "1 h Q9 K6X O Q9 2A R (bottom)2A A , I BO, &I $; 7 /Z@K ,@ {:@1 , (Last in First out) LIFO mm2A :; , & I $; O, & I J 7 /Z@K ,@ :@1 ,(First in Last out) FILO 2A ,P2 T` 9P2 K* /j FP2 $; . 7 s" FP2 :@ : & / O , 2A 'K /& !7 , 9@ Eh 7 2A $ '$ FP2 , 7 9P2 L6$ . O, O 7 Q% . 7 / !7 2A '$ 7 ; I 2A I "1 h # & . 92 [ Push = Write = ADD Pop = Delete = Read = Remove 2A /j (:: Q7) # h ,@ (push) 'K .2A /j I Q7 < O ,@ (pop)L0M 'K # & . :O , 2A U@K n7 :M n 7 Q% n JX /: < ; I #% 2A R / 3 #% .:O, 2A /j Z@K 1#O 7 top N / 2A & # & #C R #Y top > n 1 . mm1, mmh m2A 7 Q% ,7 item # n 1 , ^ 2A / 7 / ; JX .O , # Stackfull()J e%m stackfull 2A :OmmA /mmV$ :Omm procedure Addstack (item :items) ; begin if top <> n then begin top := tap + 1; stack[top] := item; end ; else stackfull() ; end; # & 9 R \O@ stackempty() J e% 7 L0M ,7 ; I , Q% ,$ 2A ,@ O top = 0 1 O, 3 )1 procedure Deletestack (var item : items); Begin if top = 0 then stackempty() ; else item := stack[top]; top := top – 1 ; end; = # & .CR (Math Expression Evaluation) ,G /9K %( ,OI . (Subroutines Call) J I , $ " .= (Recursive Procedures) ,21I /& &J I .H LY .F[ LC-59 #FJ :@7 ,I 3 :@ Q% Y I K :@ ,K x = A / B − C + D ∗ E − A∗C g(U ' % /% < : & I O # ; ,U$ /@ &) A :O O &T < 1 ,M / : I ,G K & .Q% #:O "1 ^ 7 / ,%@ /&'M # #I . :O / O 7 Q% Y E,D,C,B,A j K l6n . Q% #:O $% (Delimiter) #:@@7 : (Operator) !K (Operand) :!K JK {O, N* 9; / 7 Q% ,K T 9; :P :0A, /P 7 :@T& :!K i@A . : &# S zV !K :@ ,T /j gV% /9I n7 . :@O, U 'h &!K : J % ( ^ ) (/ ) TPB ( ∗ )FGB(-) z B(+)E :,G /&!K (g(U QTh $)div (g(U #:h) mod (-)Minus ::@ ( Unary Operators ),Y /&!K :N % /T1) B (< >)` B (=)/T B (<) Y 7 B (>)1) ::@ (Relational)/ V /&!K (<=)/TY 7(>=) .: 7 & (Strings) &O 3I A / Q% Y Q% ,G /&:!K / 2 &!K 7 .:O, True, False Qq I ,Y 2& Q% / V /&!K 'O 7 ,K * : N% % XOR , OR , AND , NOT :@ :@T& ,PV@ /&!K ,G !K / V !K ,PV@ !K Unary binary < NOT - + > AND Mod - = OR Div * <> XOR / >= ^ <= H /&!K . &, QT (Priority) Q !K & O O &K I ,TY ,OI 2& Y; / . h ,PV@ (NOT) P : Q j (Minus),Y z .: ,TY Q / V .:O :& $ N* Q% I ,OI :@O & * Q & !K 1 : JY%A h (Priority) "/]: .: N:P j unary /& !K . .Q% /: N:P NOT .= ,G !K .H .: N:P A / V /& !K . Q !K 5 (unary) - 4 NOT 3 2 1 * / ^ div mod AND + - OR XOR <> >= <= < > = :O , N* U I K :Jn A/B*C >A O, N* FG >?% TP Q% I J JY%A h zX :@T& Q & TP FG A/B*C ⇒ (A/B) * C LY .F[ B0 .5 ^0 A+B +AB (Infix)/: R . (Prefix),T9 /:2A R .= AB+ (Postfix) ,T9 /:TA R .H RPN (Reverse Polish Notation) #0 L0, B0 ,@& B &K O ,G J /&3 . Q% :@% T ,G /&K ,I / 2A $% (Lukaseiwicz) o%7mm ,mmT9 :G .7 :& $ * ,6Y2 B :O, ,I ?7 e% 9K ld R 3 .:O # 2 (Prefix) /:2A 'YO :@ , ,G /9K 7 Q% # mm2 R (Postfix)/:TA R .1, h :!K I 'h !K 3 . :@1 , ,T9 R .Q% c%@ 2A !K / ,T9 3 .:@&, h :!K I >A !K ; N RPN ,T9 :Jn :O, ': I 'YO A * B + C * D K A ∗ B + C ∗ D ⇒ AB ∗ CD ∗ + ./0,& F[ #C ./00- F[ /F: 7 / # ,!7 V : &!K Q J: I #% J 3 2A '%Q O , 2A 7,!%Q ISP(in stack priority) ICP(incoming priority) ) ^ , -(unary) 3 4 *,/ 2 2 +,- 1 1 ( 0 4 '% .&, h c Q% I 2A &:!K T, 2A &!K Q% #% T 7 3 ISP I O 2A :& $, 7 ,!% Q ,@ ; ICP : :&, h 2A '$ 7 /!K :@7 Qh &!K : O / h :O h ICP(x) > ISP(y)) O YU .:O 2 "1 h 2A 7 ,!% c 2A I &!K , Q% I ,I A I >A . & h &:!K / @7 pop 2A I .@7 , pop A j I :Jn :& R A * B + C * D /:TA K Q% :!K B #; . , 2A '$ ∗ >?% . T , 2A ; @, A :!K : 2A : , >A ICP(+) < ISP(∗) Q J: zX :@7 Qh . 1, ^ + T, A @7 >?% .T, 2A K @7 C @7 .T@ AB @7 @7 pop 2A I ∗ : I h @7 D #$j 7 push 2A '$ FG , Q% ICP(∗) > ISP(+) %, FG + :;, FG : @7 pop l67 2A : @7 Q% #:O N ,I 7 . &, h 2A /&K . Q% #:O 'UM k" K Postfix A . E !K : * * A (1) A∗ B + C ∗ D * + AB (2) AB* (3) + AB*C (4) * + AB*C (5) + AB*CD (6) ⇒ postfix : AB *CD * + :Jn : :T@ I K postfix A + ( B − C ) * ( B + C ) / ( D + 2) − E : 'M T I ) A 7 & : %, ) A 7 ,@& :@7 Qh { Q% #:O # 2 I 7 'M @7 pop 2A I - (1) ( ( * + + + + + (2) (3) (4) (5) (6) + ( + ( * ( * * / / ( / + + + + + + (7) (8) (9) (10) (11) (12) / 4 + - (13) (14) (15) ⇒ postfix : ABC − BC + *D 2 + / + E − @7 pop 2A I T I ) A 7 & : % , T ) A 7 ,@& :@7 Qh : #_0 'M # / :O, ?7 /) 'h Q% ,U 3 postfix .%( 3 @, 7V& .Q% #:O # postfix .%( / / #% ,T 3 I .:O, qr :;7 ,!$ ,T ./0,& F[ #FJ .C . N " N @7 "G K &) A NIj : : & Q Q% ,"7.Q% N% & / 01) A 3 3 K I !K QT"7 ,@ T@ postfix K & / @7 SO ) A , I #; T@ &; :Jn :T@ / 01 ) A 3 I #% 'P K postfix B ∗C + D ∗ 2 B ∗C + D ∗ 2 ⇒ ((B * C ) + (D * 2)) ⇒ postfix : BC * D 2 * + :Jn :T@ / 01 ) A 3 I #% I K postfix A + (B - C) * (B + C)/(D + 2) - E ⇒ (( A + (((B - C)*(B + C)) / (D + 2))) - E) BC- BC+ D2+ BC-BC+* BC-BC+*D2+/ ABC-BC+*D2+/+ ABC-BC+*D2+/+E- C A + (B - C) * (B + C)/(D + 2) - E ⇒ postfix : ABC-BC+*D2+/+E- LX !K h /* QT"7 eP" Q% c%@ & (prefix)/:2A K %( / @w& 3 & h /% !K &:!K Q% :Jn :T@ I K prefix B*C+D/E ⇒ ( ( B*C ) + ( D/E ) ) *BC /DE +*BC/DE Prefix : + * B C / D E :Jn ::T@ I K postfix,prefix A*B / C +(A – B)^ C +D/ E * F ⇒ (((A*B) / C) + (( A – B) ^ C))+((D/E)* F)) AB* AB- AB*C/ AB-C^ DE/ DE/F* AB*C/AB-C^+ AB*C/AB–C^+DE/F*+ Postfix: AB*C/AB-C^+DE/F*+ prefix : ++/*ABC^-ABC*/DEF LY F[ S ./[ /] LC9 !K < #1& .@7, RA Q% I K postfix 7 Q% 'YO ,G K < ,I ) #:; Q% :K @7, L0M :!K #; @7, JK ,!h :!K / ; 7 $ .@Y $ / !K 7 &, :P; 7 .@7, D .:@7 ,I 3 * 4 + 5 * 6 K :Jn .@7 , RA T , postfix , ! Q% I 3 * 4 + 5 * 6 ⇒ postfix : 34 * 56 * + = 42 6 4 5 5 30 3 3 12 12 12 12 42 3 : $ Push 4 %( 3*4 Push 5 Push 6 %( 5*6 %( 12+30 1 2 3 4 5 6 7 :Jn .:@7 FTM –Q^4 :P :O Q = 2 1 -Q^4 ⇒ postfix : Q 4 ^ - = 24^- =16 4 2 2 16 -16 2 : $ Push 4 %( 2^4 !K JK 8
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