题目描述
Problem Statement
The consumption tax rate in the Republic of ARC is t percent, where t is a positive integer.
There is a shop called Seisu-ya (integer shop) there. It sells each positive integer A for A yen (Japanese currency) excluding tax, that is$, \left\lfloor\frac{100+t}{100}A\right\rfloor yen including tax. Here, \lfloor x\rfloor$ denotes the largest integer not greater than x for a real number x.
Although Seisu-ya sells every positive integer, there are some positive integer values that cannot be the tax-included price of an integer. Among those values, find the N-th smallest value.
Input
Input is given from Standard Input in the following format:
t N
Output
Print the answer.
Constraints
- $1\leq t\leq 50$
- $1\leq N\leq 10^{9}$
Sample Input 1
10 1
Sample Output 1
10
In this sample, the consumption tax rate is 10 percent.
- The integer 9 is sold for $\left\lfloor \frac{110}{100}\times 9\right\rfloor = \lfloor 9.9\rfloor = 9$ yen including tax.
- The integer 10 is sold for $\left\lfloor \frac{110}{100}\times 10\right\rfloor = \lfloor 11\rfloor = 11$ yen including tax.
From above, we can see that 10 is not the tax-included price of any integer, and this is the minimum such value.
Sample Input 2
3 5
Sample Output 2
171
If the consumption tax rate is 3 percent, the smallest values that cannot be the tax-included price of an integer are $34, 68, 102, 137, 171, \ldots$
Sample Input 3
1 1000000000
Sample Output 3
100999999999
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分