SRM 599 DIV2 500p

Problem Statement This problem statement contains superscipts that may not display properly outside the applet. You are given four ints A , B , C and D . Return divisible (quotes for clarity) if A B is divisible by C D . Return not divisib

Problem Statement

This problem statement contains superscipts that may not display properly outside the applet.

You are given four ints A, B, C and D. Return "divisible" (quotes for clarity) if A^B is divisible by C^D. Return "not divisible" otherwise.

Definition

Class:	BigFatInteger2
Method:	isDivisible
Parameters:	int, int, int, int
Returns:	string
Method signature:	string isDivisible(int A, int B, int C, int D)
(be sure your method is public)

Notes

-

The return value is case-sensitive.

-

Positive integer y divides a positive integer x if and only if there is a positive integer z such that y*z=x. In particular, for each positive integer x, both 1 and x divide x.

Constraints

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A, B, C and D will each be between 1 and 1,000,000,000 (10⁹), inclusive.

Examples

0)

6

1

2

1

Returns: "divisible"

Here, A^B = 6¹ = 6 and C^D = 2¹ = 2. 6 is divisible by 2.

1)

2

1

6

1

Returns: "not divisible"

2 is not divisible by 6.

2)

1000000000

1000000000

1000000000

200000000

Returns: "divisible"

Now the numbers are huge, but we can see that A^B is divisible by C^D from the fact that A=C and B>D.

3)

8

100

4

200

Returns: "not divisible"

We can rewrite 8¹⁰⁰ as (2³)¹⁰⁰ = 2³⁰⁰. Similarly, 4²⁰⁰ = (2²)²⁰⁰ = 2⁴⁰⁰. Thus, 8¹⁰⁰ is not divisible by 4²⁰⁰.

4)

999999937

1000000000

999999929

1

Returns: "not divisible"

Here A and C are distinct prime numbers, which means A^B cannot have C as its divisor.

5)

2

2

4

1

Returns: "divisible"

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分解质因数。。。。

注意A或C可能是质数。。。。

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