## Sign of Product

Statement

## Goal

Given two integers`a`and

`b`, answer the sign of the product of

`a`,

`a`+1, ...,

`b`.

Input

Two integers

`a`and`b`separated by space.Output

If the product is positive, output 1 . If it is zero, output 0 . If it is negative, output -1 .

Constraints

-10^10 ≤

`a`≤`b`≤ 10^10Example

Input

3 5

Output

1

Game modes

Fastest, Shortest

Test cases

Example Test

Input

3 5

Output

1

Validator 1 Validator

Input

8 13

Output

1

1,1,1 Test

Input

2 8

Output

1

Validator 2 Validator

Input

2833 4792

Output

1

0,1,0 Test

Input

0 7

Output

0

Validator 3 Validator

Input

0 38727

Output

0

0,0,0 Test

Input

0 0

Output

0

Validator 4 Validator

Input

0 0

Output

0

-1,1,0 Test

Input

-1 3

Output

0

Validator 5 Validator

Input

-683215 58743823

Output

0

-1,0,0 Test

Input

-9 0

Output

0

Validator 6 Validator

Input

-368921 0

Output

0

-1,-1,1 Test

Input

-9 -6

Output

1

Validator 7 Validator

Input

-321687 -321044

Output

1

-1,-1,-1 Test

Input

-4 -2

Output

-1

Validator 8 Validator

Input

-43 -21

Output

-1

Large Both Positive Test

Input

1 10000000000

Output

1

Validator 9 Validator

Input

7 9994992999

Output

1

Large Both Negative Test

Input

-10000000000 -1

Output

1

Validator 10 Validator

Input

-9997491183 -381

Output

-1

Solution language

Solution

Stub generator input

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