.


:




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15.09

1_1.

: , ( ) -, 2 147 483 647 (, , , )

. ( )

1.0 , . .

2.0 a b.

3.0 . , .

4.0 .

5.0 .

6.0

7.0 .

8.0 .

9.0 n.

10.0 N M.

11.0 , , , 1. .

12.0 n- (2<=n<=9)

13.0 , . , 9.

14.0 , . , , . ,

4241 -> 442441

15.0 : a(0)= 1, a(1) = 1, a(k) = a(k-1) + a(k-2) k >= 2. n, a(n). ( ).

15.09

( )

1.0 a b x y,

nod = a*x + b*y.

2.0 ( ).

( ).

3.0 () , .

4.0 , .

5.0 , . .

6.0 , N .

7.0 , , . .

8.0 P1 P2, X*X-Y*Y=P1*P2.

9.0 , , (92=81,183=5832).

10.0 N ( , ). (. 25,625).

11.0 N - .

12.0 .

15.09

( )

C.

1.0 , . .

2.0 , N, , . , 111*91=10101.

3.0 ,

(2*a, 2*b) = 2*(a,b)

(2*a, b) = (a,b) b, , 2 . ( log k , k.).

4.0 n. n!..

5.0 x*x + y*y < n ( ) , , (n 1/2).

6.0 n k, n > 1. k 1/n. ( , .) .

7.0 n > 1. 1/n.

8.0 b, b > 0. b, div mod, 2 ; C1*log(a/b) + C2 C1, C2.

9.0 k- 11, 21, 31, 41, 51,

10.0 k- , , 1. 123456789 10 11 12 13

11.0 p/q (0<p<q<16) , 1.

12.0 N, 10 ( - 0). , , N ( ), N. , 315 3. : 351, 513 531.

5/7

 



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