There is a taxation system based on the known parameters *N*_{1}…*N*_{m}, *S*_{1}…*S*_{m+1}. in some country.

Let the total annual income of a citizen is equal to *K* bibriks (*bibrik* is a local currency). A citizen pays *S*_{1} percents from the sum *N*_{1} bibriks and less, he pays *S*_{1} percents of *N*_{1} plus *S*_{2} percents of (*K*−*N*_{1}) from the sum from *N*_{1} to *N*_{2}. If the income is *N*_{2} ≤ *K* ≤ *N*_{3} then the citizen must pay *S*_{1} percents of *N*_{1} plus *S*_{2} percents of (*N*_{2}−*N*_{1}) plus *S*_{3} percents of (*K*−*N*_{2}) and so on.

If the total annual income exceeds *N*_{m} then he is to pay *S*_{1} percents of *N*_{1} plus *S*_{2} percents of (*N*_{2}−*N*_{1}) plus … plus *S*_{m+1} percents of (*K* − *N*_{m}).

Let the function *T*(*K*) be the total tax from the annual income *K*. Moreover, in the assumed country the government pays to the citizens additional *L* percents as the regional coefficient. This coeficient is taxed independently from the salary.

I.e. if the salary of a citizen is *R* bibriks he may legally spend *R*−*T*(*R*) + *L*%**R*−*T*(*L*%**R*). The taxes to pay are *T*(*R*) + *T*(*L*%**R*).

The calculation of the regional coefficient and all kinds the taxes is made with rounding off to two digits after a decimal point. The initial income is given within two digits after a decimal point too.

Each employer automatically retains the taxes in favor of the government from the annual income of his employee taking into account the regional coefficient.

If a citizen works at several places, in the end of a year he is to make a recalculation of the payed taxes because the sum of retained taxes in different places may be not equal to the tax from the total income.

You are to write a program that calculates and outputs the difference between the tax from the total income and the sum that is retained by all his employers.

### Input

The first line contains the regional coefficient *L*. Then there are pairs *N*_{1} *S*_{1}, *N*_{2} *S*_{2}, …, *N*_{m} *S*_{m}, 0 *S*_{m+1}. Each pair is located in a separate line. The number in pairs are separated by one or several spaces. The values of *L* and coefficients *S*_{i} are given in percents (i.e. they are integers from 0 to 99).

Each of the next lines contains the total annual net profit of the citizen on some enterprise, where he worked, taking into account the regional coefficient and taxes.

The input is ended by −1. All the parameters are integer not greater than 10^{9} within two digits after a decimal point. The number of different workplaces of the citizen doesn’t exceed 30. An amount of taxation coefficients (*m*) is not greater than 20.

### Output

The difference between the tax from the total income and the sum that is retained by all his employers with exactly two digits after a decimal point.

### Sample

input | output |
---|

15
12000000 12
24000000 20
36000000 25
48000000 30
0 35
12000000
12000000
-1 | 937233.19 |

**Problem Source: **II Collegiate Students Urals Programming Contest. Yekaterinburg, April 3-4, 1998