.


:




:

































 

 

 

 





 

 

a) b)

 

2 - , .

b1=false b2=0.

- : , .

. , , , cand (conditional and, ). and . .

) , .

( ). , , true false.

- , .

A(x) B(x) , , , . A(x) T1 B(x) T2, T = T1 ∩ T2. : A(x): x , B(x): x 3. A(x) B(x) x x 3. x 6.

A(x) B(x) , x T, . A(x) B(x).

A(x) , x T, A(x) , A(x) .

x X T' T X.

A(x) B(x) , x T, A(x) , B(x) , . : A(x), B(x).

) .

(-) , . . - , . , . . , , . .

) (-) , . (). , .

) 1. .

()

(). All- . , , , . () ( ), .

1: ()

- .

, () . .

2. .

P(x) - . , , , P(x) , . x. : x, P(x) . . x ( )

 

10

A:array[I] of T, ( , ). I .

 

i                
x                

 

X[i]:= ( X[i]); ( X[i]) ;

X[i]:= - ;

 

( , , ) ( ), . , () . , , .

 

:

:

1. : I [1..n], [0..n]. n. - ; f: NT, .. [1,n] T

2. . f: IT. I , I T . .

 

, ( ) - ( ). A[e] A , e I (a[e]=app(a,e) ). , .

 

( )

.

array[I1] of array [I2] of T

.

array[I1,,In] of T; a[c1,,cn];

n.

: .

: [a, , s], N ( ).

{ki i- }

assign(f,);

reset(f);

for c:=a to z do k[c]:=0;

while not eof(f) do

begin

read(f,c);

k[c]:=k[c]+1;

end;

close(f);

 

( - )

Found:=

ai=x

$ iÎ[1,len(a)] (ai>=x)

: i, x<=ai, found:=true Û x=ai, ; , found:=false.

, i: ai>=x

found1:=$i (ai>=x)

assign(f,);

reset(f);

found1:=false;

while (not found1) and (not eof(f)) do

begin

read(f,a);

if a>=x then found1:=true

end;

if found1 then found:=a=x

else found:=false;

( - )

Program Binar;

Var a:array[1..n] of integer;

l,r,m:integer;

found:boolean;

Begin

{ a}

l:=1;

r:=n;

found:=false;

while (l<=r) and not found do

begin

m:=(l+r) div 2;

if a[m]=x

then found:=true

else if a[m]<x then l:=m+1

else r:=m-1;

end;

end.

11

.

(){

.}

() {

}

, .

i Î [1,length(a)] (ai<=ai+1)

i,j Î [1,length(a)] (i<=j → ai<=aj)

, .

 

.

() {

- , () : .. }

 

Program Binar;

Var a:array[1..n] of integer;

l,r,m:integer;

found:boolean;

Begin

{ a}

l:=1;

r:=n;

found:=false;

while (l<=r) and not found do

begin

m:=(l+r) div 2;

if a[m]=x

then found:=true

else if a[m]<x then l:=m+1

else r:=m-1;

end;

end.

{ , , , .. }

 

().

 

(){

- , ,(?), . }

 

() {

, , , , , }

12





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