Score : $300$ points
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
.
Input is given from Standard Input in the following format:
$A$ $B$
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:
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:
19 99
-1
There is no price before tax satisfying this condition, so print -1
.