#AT1531. C - Tax Increase
C - Tax Increase
C - Tax Increase
Score : $300$ points
Problem Statement
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.)
Here, the price before tax must be a positive integer, and the amount of consumption tax is rounded down to the nearest integer.
If multiple prices satisfy the condition, print the lowest such price; if no price satisfies the condition, print -1
.
Constraints
- $1 \leq A \leq B \leq 100$
- $A$ and $B$ are integers.
Input
Input is given from Standard Input in the following format:
Output
If there is a price that satisfies the condition, print an integer representing the lowest such price; otherwise, print -1
.
2 2
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, $25$.
8 10
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.
19 99
-1
There is no price before tax satisfying this condition, so print -1
.
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