AtCoder Grand Contest 002
A
Range Product
AtCoder
⌀ 170
原题
←B →
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Problem Statement

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You are given two integers $a$ and $b$ ($a≤b$). Determine if the product of the integers $a$, $a+1$, $…$, $b$ is positive, negative or zero.

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Constraints

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  • $a$ and $b$ are integers.
  • $-10^9≤a≤b≤10^9$
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Partial Score

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  • In test cases worth $100$ points, $-10≤a≤b≤10$.
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Input

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The input is given from Standard Input in the following format:

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a b

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Output

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If the product is positive, print Positive. If it is negative, print Negative. If it is zero, print Zero.

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样例

Input #1
1 3
Output #1
Positive
$1×2×3=6$ is positive.
Input #2
-3 -1
Output #2
Negative
$(-3)×(-2)×(-1)=-6$ is negative.
Input #3
-1 1
Output #3
Zero
$(-1)×0×1=0$.
题目信息
题号
agc002_a
时间限制
2 s
内存限制
256 MB

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