AtCoder Beginner Contest 158
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Problem Statement
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Find the price of a product before tax such that, when the consumption tax rate is $8$ percent and $10$ percent, the amount of consumption tax levied on it is $A$ yen and $B$ yen, respectively. (Yen is the currency of Japan.)
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Here, the price before tax must be a positive integer, and the amount of consumption tax is rounded down to the nearest integer.
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If multiple prices satisfy the condition, print the lowest such price; if no price satisfies the condition, print -1.
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Constraints
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$1 \leq A \leq B \leq 100$$A$and$B$are integers.
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Input
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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 there is a price that satisfies the condition, print an integer representing the lowest such price; otherwise, print -1.
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样例
Input #1
2 2
Output #1
25
If the price of a product before tax is $25$ yen, the amount of consumption tax levied on it is:
- When the consumption tax rate is $8$ percent: $\lfloor 25 \times 0.08 \rfloor = \lfloor 2 \rfloor = 2$ yen.
- When the consumption tax rate is $10$ percent: $\lfloor 25 \times 0.1 \rfloor = \lfloor 2.5 \rfloor = 2$ yen.
Thus, the price of $25$ yen satisfies the condition. There are other possible prices, such as $26$ yen, but print the minimum such price, $25$.
Input #2
8 10
Output #2
100
If the price of a product before tax is $100$ yen, the amount of consumption tax levied on it is:
- When the consumption tax rate is $8$ percent: $\lfloor 100 \times 0.08 \rfloor = 8$ yen.
- When the consumption tax rate is $10$ percent: $\lfloor 100 \times 0.1 \rfloor = 10$ yen.
Input #3
19 99
Output #3
-1
There is no price before tax satisfying this condition, so print `-1`.
题目信息
题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。