100 atcoder#ABC158C. [ABC158C] Tax Increase
[ABC158C] Tax Increase
Score : points
Problem Statement
Find the price of a product before tax such that, when the consumption tax rate is percent and percent, the amount of consumption tax levied on it is yen and 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
- and 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 yen, the amount of consumption tax levied on it is:
- When the consumption tax rate is percent: $\lfloor 25 \times 0.08 \rfloor = \lfloor 2 \rfloor = 2$ yen.
- When the consumption tax rate is percent: $\lfloor 25 \times 0.1 \rfloor = \lfloor 2.5 \rfloor = 2$ yen.
Thus, the price of yen satisfies the condition. There are other possible prices, such as yen, but print the minimum such price, .
8 10
100
If the price of a product before tax is yen, the amount of consumption tax levied on it is:
- When the consumption tax rate is percent: yen.
- When the consumption tax rate is percent: yen.
19 99
-1
There is no price before tax satisfying this condition, so print -1
.