Problem Description
Garfield applied for a good job recently, and he will go to work soon by car or bus. Garfield is very broody, sometimes when he sits on the bus to wait for the traffic light, he thinks about how long all the buses pass the traffic turning.
Now we describe the situations when the buses stop at the traffic turning to wait for the traffic light. First the light is red, then when the light changes to green, all the buses are prepared to move. And at the beginning, all the buses are close to each other without any space, and they have different lengths and the largest speeds. We assume any car can reach the speed that isn’t beyond the maximal speed at once.
Now Garfield wants you to calculate minimal time all the buses pass the turning.
Input
There are many cases. For each case, there is two intergers N(1<=N<=100), representing the number of the buses. There are two interges in the following N lines, for the length Li(meter, 1<=Li<=10) and the maximal speed Si(meter/second, 1<=Si<=10) of the i-th bus.
Output
For each case, print the result obtaining two digits after the decimal point.
Sample Input
2
1 2
2 3
Sample Output
1.50
