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. 1. ,




1. , .

2. n.

) n?

) ?

) n.

, (div) (mod) 10.

3. p, (1699 .):

4. :

n (n > 1). , 2, 3 1. 1, () .., 1. : 1 -> 4 -> 2 -> 1. 7: 7 -> 22 -> 11 -> 34 -> 17 -> 52 -> 26 -> 13 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1. 1->4->2->1!

. , .

5. ex e :

, , x x dx e. . , .

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

1. n, 1,2,...,n. : a) max(a1,a2,...,an); ) min(a1, a2,..., n).

: . 4.1.

. 4.1. - 1

Turbo Pascal :

Program max_min_mas;

Var a: Array [1..20] of Real;

n,i: 1..20;

min,max:Real;

Begin

Write(' (_ 1 20)');

ReadLn(n);

WriteLn(' ');

Write('l - ');

ReadLn(a[l]);

max:=a[l]; min:=a[l];

For i:=2 to n do

Begin

Write(i,' - ');

ReadLn (a[i]);

If a[i]>max then max:=a[i];

If a[i]<min then min:=a[i];

End;

WriteLn(' : ',max);

WriteLn(' : ',min);

End.

 

2. n, 1,...,n. , .

. , k - . q. (a[i]<>a[i-l]) q . , k (k:=1). q .

. 4.2.

. 4.2. - 2

Turbo Pascal :

Program Count_max;

Const n=10;

a: Array [l..n] of Integer = _
(25,2,2,2,12,17,2,2,2,2);

Var i,k,q: 1..n;

Begin

k:=l; q:=l;

for i:=2 to n do

{ }

if a[i]=a[i-l]

then

Inc(k)

{ }

else

begin

{ q }

if q<k then q:=k;

{ }

k:=l

end;

{ }

if q<k then q:=k;

WriteLn(q);

ReadLn;

End.

3. , n, 1,..., n (n>0). , 1,..., n , . , .

. . . , , . , . , 1) ; 2) . Turbo Pascal, , :

Program Find_1;

Const

x=13; { }

n=10;

a: Array [l..n] of Integer=_
(10,6,55,-1,13,6,29,-80,1,-16);

Var i:1..n;

Begin

i:=l;

While (a[i]<>x) and (i<n) do Inc(i);

If a[i]<>x

Then Write(' ')

Else Write(' : ', i);

End.

. . , . - , (n+1)- , :

Program Find_2;

Const x=13; { }

n=10;

a: Array [1..+1] of Integer=_
(10,6,55,-1,13,6,29,-80,1,-16,);

Var i: 1..n+1;

Begin

i:=l;

While a[i]<>x do Inc(i);

If i=n+l

Then Write(' ')

Else Write(' : ',i);

End.

, , i = n + 1 , , .. . . , .

, Break, . For ( , ).

Begin

For i:=l to n do

If a[i]=x then Break;

If a[i] <> x

Then Write(' ')

Else Write(' : ',i);

End.

, , , .

4. n, m 1,..., n b1...,bm, . c.

. , . , , , . a[i] b[j] (i-1) (j-1) b, (i+j-2) . , : i+j-1. , . , , .

i+j-1 = i+m+1-1 = i+m, i+j-1 = i+n+1-1 = i+n. , : , a[n]>b[m] , a[n]<b[m].

Turbo Pascal :

Program Conc_mas;

Const n=12;

m=8;

Var a: Array [l..n] of Integer;

b: Array [l..m] of Integer;

c: Array [l..n+m] of Integer;

i,j,k: Integer;

Begin

{ b}

For i:=l to n do a[i]:=i*2;

For j:=l to m do b[j]:=j+9;

{ }

i:=l; j:=l;

While (i<=n) and (j<=m) do

If a[i]<=b[j]

then

begin

[i+j-1]:=a[i];

Inc(i);

End

Else

begin

c[i+j-1]:=b[j];

Inc(j);

End;

While i<=n do

begin

[m+i]:=a[i];

Inc(i);

End;

While j<=m do

begin

[n+j]:=b[j];

Inc(j);

End;

{ }

For k:=l to m+n do Write([k]:8);

ReadLn;

End.

5. n 1, 2,..., n .

. , :

1. .

2. .

3. .

- ( : 1<2<...<n). , . - .

1. .

, , , ai. , . , i i-1, i-2,... , i, . , .

1000 [100, 999]. - , . , , 0, , .. . 0..n. j -, . , . 4.3.

Turbo Pascal :

Program Sort_mas_1;

Uses Crt;

Const

n=1000;

Var

a: Array [0..n] of _ Integer;

x,j,i: Integer;

Begin

Randomize; {[100, 999]}

For i:=l to n do

begin

a[i]:=100+Random(900);

Write(a[i]:3);

End;

WriteLn;

 

 

. 4.3. - 5 (1)

 

For i:=2 to n do

begin

{x - }

x:=a[i];

{a [0] - }

a[0]:=a[i];

{j- -}

j:=i;

While x<a[j-l] do

begin

a[j]:=a[j-1];

Dec(j)

End;

{ }

a[j]:=x

End;

WriteLn;

For i:=l to n do
Write(a[i]:3);

ReadLn;

End.

 

2. .

. n - 1 .. , . :

For i:=l to n-1 do

Begin

k:=i;

x:=a[i];

For j:=i+l to n do

If a[j]<x then

begin

k:=j;

x:=a[k]

End;

a[k]:=a[i];

a[i]:=x

End;

 

. 4.4. - 5 (2)

 

3. .

, . . " " , , "" . , :

For i:=2 to n do

For j:=n downto i do

If a[j-1]>a[j]

then

Begin {}

x:=a[j-l];

a[j-1]:=a[j];

a[j]:=x

End;

 

. 4.5. - 5 (3)

 

 





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