FatalEagle is playing a game. In this game, players send out ships to complete voyages for profit. Each voyage has numerical requirements in at least one of the Coding, Anti-seasickness, and Pathfinding attributes (its programmer crew must remain both mentally healthy by programming, and physically healthy by eating decent food, all while not getting lost). The closer a player's ship comes to fulfilling these requirements, the greater its chance of success. A ship can hold five crew members, and each member contributes some constant to their ship's attributes. FatalEagle has ~N~ such crew members, which he may assign to any ship.

A voyage's chance of success is defined as the minimum ratio between a voyage attribute and the sum of all crew members in that attribute, and maxes out at ~100\%~. For example, if both the Anti-seasickness and Pathfinding requirements are met while the requirement for Coding is ~100~ but the crew only provides ~50~, the voyage's chance of success will be ~50\%~.

Since FatalEagle has to manage many ships at once, determining his maximum chance of success would go a long way towards increasing his status as a harbourmaster. Can you help him?

Input Specification

The first line of input will contain three integers ~C, S, P~ representing the voyage's Coding, Anti-seasickness, and Pathfinding requirements respectively ~(0 \le C, S, P \le 10^6)~.
The second line of input will contain ~N~ ~(1 \le N \le 25)~.
For the next ~N~ lines, line ~i~ will represent the attributes of the ~i~-th crew member ~C_i, S_i, P_i~ in the same order as given for the voyage ~(0 \le C_i, S_i, P_i \le 10^6)~.

Output Specification

FatalEagle's maximum chance of success if he assigns his crew optimally, rounded to one decimal place.

Sample Input

10 10 100
2
0 5 0
9 0 2

Sample Output

2.0

Explanation

The crew got lost, because while the voyage had ~90\%~ Coding and ~50\%~ Anti-seasickness, their Pathfinding total was ~2.0\%~.