Volleyball Stats

Problem

You are writing a program that reads a play-by-play description of a volleyball game and produces a statistics report for one team.

Your program reads a sequence of input lines, each describing one play. Table 1 lists the play types.

Key	Play	Description
C	CHECKIN	Marks the start of a new game. Every game begins with exactly one CHECKIN line that lists all players from one team who take part in that game.
H	HIT	A hit that the opponent successfully defended.
K	KILL	A hit that the opponent failed to defend.
E	ERR	An erroneous hit that went into the net or out of bounds.
B	BLOCK	A successful defense of a hit at the net.
D	DIG	A successful defense of a hit behind the net.
R	REPORT	Tells your program to print a report. After printing it, discard every play collected so far and keep processing the rest of the input from a clean state.

Table 1: Plays

Every play except CHECKIN and REPORT carries exactly one 2-digit player number. Each digit of a player number is between 0 and 5, so a referee can signal it with 0 to 5 fingers on each hand.

For each report, compute the statistics in Table 2 for every player who took part in at least one game, and the same statistics for the whole team.

Label	Formula	Description	Sample
Hit %	(sum(KILL) - sum(ERR)) / (sum(KILL) + sum(ERR) + sum(HIT))	Hitting percentage	0.461
KPG	sum(KILL) / #Games	Kills per game	5.613
BPG	sum(BLOCK) / #Games	Blocks per game	3.100
DPG	sum(DIG) / #Games	Digs per game	2.050

Table 2: Statistics

Clarifications:

A player "takes part in a game" exactly when that player appears on that game's CHECKIN line. A player is still listed in the report even if they never recorded a play, in which case all of their statistics are 0.000.
For a player, #Games is the number of games that player took part in (the number of CHECKIN lines that listed the player). For the team, #Games is the total number of games in the report period. The hitting percentage does not depend on #Games.
If a player has no hits, no kills, and no errors, their hitting percentage is 0.000.

Input

Each input line contains exactly one play. Column 1 holds one of the play keys from Table 1.

A REPORT line contains only the key R.
A CHECKIN line has a blank in column 2, then a two-digit integer NP (06 <= NP <= 15) in columns 3 to 4 giving the number of players in the game, followed by that many 2-digit player numbers (with leading zeros), each preceded by exactly one blank. No play in a game ever names a player who is not on that game's CHECKIN line.
A HIT, KILL, ERR, BLOCK, or DIG line has a blank in column 2 and exactly one 2-digit player number (with a leading zero when needed) in columns 3 to 4.

Output

Each time you read a REPORT, print a report.

The first two lines of every report are exactly these (the second line is 41 dashes):

Player  Hit Pct    KPG      BPG      DPG
-----------------------------------------

Then print one line per player who took part in at least one game, in ascending order of player number, formatted like this:

55      s0.000   99.999   99.999   99.999

s is the sign of the hitting percentage: + when the hitting percentage is >= 0.000, and - otherwise. All four values are printed with exactly three digits after the decimal point.

After the player lines, print one team line in the same format, using the literal label team:

team    s0.000   99.999   99.999   99.999

Field layout: the player number (or the label team) is left-justified in an 8-character field; the signed hitting percentage occupies the next 6 characters; and KPG, BPG, and DPG are each right-justified in a 9-character field. No statistic ever exceeds 99.999 in magnitude.

Separate two consecutive reports with a single blank line, and do not print a blank line after the final report.