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

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