dXqwq likes playing maimai DX UNiVERSE PLUS, since he can't fly to Japan and SEGA completely ignores the feelings of Chinese players, he can only play maimai DX 2077.

In maimai DX 2077, you need to press the button or touch the screen when NOTE appears. There are 4 types of NOTE: TAP, HOLD, SLIDE, and BREAK. There are also 5 judgments for each NOTE: CRITICAL PERFECT, PERFECT, GREAT, GOOD, and MISS.

For each type of NOTE, you can get some standard points according to the judgment. For BREAK NOTEs, you can get some extra points according to the judgment.

Here is the table of standard points:



Here is the table of extra points:
Let be the standard points and extra points you will have if you get CRITICAL PERFECT on every NOTE, and be the standard points and extra points you have, the achievement score for this track is defined as .

You are given the number of NOTEs for each type and each judgment, and calculate the achievement score.

There are  lines in a test, each line denotes a type of NOTE: TAP, HOLD, SLIDE and BREAK.

The -th line contains  integers  (), each integer denotes a type of judgment: CRITICAL PERFECT, PERFECT, GREAT, GOOD, and MISS.

It's guaranteed that there is at least one BREAK note.

Print the percentage of the achievement score in a line. Your answer will be considered correct if the absolute or relative error between yours and the standard answer is no more than . Formally, let your answer be  and the jury's answer be , and then your answer is considered correct if .

311 131 24 1 2
48 20 4 0 0
36 0 0 1 0
35 15 1 0 0

99.523505378

224 133 15 0 0
45 14 0 0 0
57 0 2 1 0
15 16 0 0 0

100.051026393

324 210 26 2 2
13 14 1 0 0
102 0 3 3 0
9 4 0 0 0

99.369444233

Noticed that the rules of  are different from .