#2330 Tax Rate Changed

17  1 s   128 MB  

Description

VAT (value-added tax) is a tax imposed at a certain rate proportional to the sale price.

Our store uses the following rules to calculate the after-tax prices.

The VAT rate is changed quite often. Our accountant has become aware that "different pairs of items that had the same total after-tax price may have different total after-tax prices after VAT rate changes." For example, when the VAT rate rises from 5% to 8%, a pair of items that had the total after-tax prices of 105 yen before can now have after-tax prices either of 107, 108, or 109 yen, as shown in the table below.

 

Before-tax prices of two items
After-tax price with 5% VAT
After-tax price with 8% VAT
20, 80
21 + 84 = 105
21 + 86 = 107
2, 99
2 + 103 = 105
2 + 106 = 108
13, 88
13 + 92 = 105
14 + 95 = 109


Our accountant is examining effects of VAT-rate changes on after-tax prices. You are asked to write a program that calculates the possible maximum total after-tax price of two items with the new VAT rate, knowing their total after-tax price before the VAT rate change.

Input

The input consists of multiple datasets. Each dataset is in one line, which consists of three integers x, y, and s separated by a space. x is the VAT rate in percent before the VAT-rate change, y is the VAT rate in percent after the VAT-rate change, and s is the sum of after-tax prices of two items before the VAT-rate change. For these integers, (0 < x < 100), (0 < y < 100), (10 < s < 1,000), and (x ≠ y) hold. For before-tax prices of items, all possibilities of 1 yen through s-1 yen should be considered.

The end of the input is specified by three zeros separated by a space.

Output

For each dataset, output in a line the possible maximum total after-tax price when the VAT rate is changed to y%.

Sample Input

Sample Output

5 8 105
8 5 105
1 2 24
1 99 11
0 0 0
109
103
24
20

Source

http://icpcsec.storage.googleapis.com/icpc2014-domestic-live/icpc2014/contest/all_en.html#section_A