p00773 Tax Rate Changed
Tax Rate Changed

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.

* When the VAT rate is x%, for an item with the before-tax price of p yen, its after-tax price of the item is p (100+x) / 100 yen, fractions rounded off.
* The total after-tax price of multiple items paid at once is the sum of after-tax prices of the items.



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 < 1000, 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


5 8 105
8 5 105
1 2 24
99 98 24
12 13 26
1 22 23
1 13 201
13 16 112
2 24 50
1 82 61
1 84 125
1 99 999
99 1 999
98 99 999
1 99 11
99 1 12
0 0 0


Output for the Sample Input


109
103
24
24
26
27
225
116
62
111
230
1972
508
1004
20
7


Hints

In the following table, an instance of a before-tax price pair that has the maximum after-tax price after the VAT-rate change is given for each dataset of the sample input.

Dataset| Before-tax prices| After-tax price with y% VAT
---|---|---
5 8 105 |  13, 88|  14 + 95 = 109
8 5 105 |  12, 87|  12 + 91 = 103
1 2 24 |  1, 23|  1 + 23 = 24
99 98 24 |  1, 12|  1 + 23 = 24
12 13 26 |  1, 23|  1 + 25 = 26
1 22 23 |  1, 22|  1 + 26 = 27
1 13 201 |  1,199|  1 +224 = 225
13 16 112|  25, 75|  29 + 87 = 116
2 24 50 |  25, 25|  31 + 31 = 62
1 82 61 |  11, 50|  20 + 91 = 111
1 84 125 |  50, 75|  92 +138 = 230
1 99 999 |  92,899| 183+1789 =1972
99 1 999 |  1,502|  1 +507 = 508
98 99 999|  5,500|  9 +995 =1004
1 99 11 |  1, 10|  1 + 19 = 20
99 1 12 |  1, 6|  1 + 6 = 7





Example

Input

5 8 105
8 5 105
1 2 24
99 98 24
12 13 26
1 22 23
1 13 201
13 16 112
2 24 50
1 82 61
1 84 125
1 99 999
99 1 999
98 99 999
1 99 11
99 1 12
0 0 0


Output

109
103
24
24
26
27
225
116
62
111
230
1972
508
1004
20
7
```python
from math import floor
while(True):
    x,y,s=map(int,input().split())
    if (x,y,s)==(0,0,0):
        quit()
    ans=0
    for i in range(1,s):
        j=s-floor(i*(100+x)/100)
        if j<1:
            continue
        j=floor((j+1)*(100/(100+x)))
        for k in [j-1,j]:
            if floor(i*(100+x)/100)+floor(k*(100+x)/100)==s:
                ans=max(ans,floor(i*(100+y)/100)+floor(k*(100+y)/100))
    print(ans)


```