Strike rotation in a cricket innings

Problem

Two batters face balls one at a time. After an odd number of runs (1 or 3) they swap ends, and after every sixth ball (end of an over) they swap ends again. Print each batter's runs, balls and strike rate, and who is on strike at the end.

Write a class Batter with fields name, runs and balls and methods void face(int r) and double strikeRate() (runs × 100 / balls, or 0 for no balls). In main, keep two references, striker and other, and swap the references, not the data.

Input, output and limits

Input: The first line has two one-word names: the first is on strike. The second line has n. The third line has n integers: the runs off each ball.
Output: Two lines, first batter then second: name runs (balls) SR x.xx. Then ON STRIKE name.
Constraints: 1 ≤ n ≤ 600
Each ball gives 0, 1, 2, 3, 4 or 6 runs

Examples

Example

Input

Rohit Gill
7
1 4 0 2 1 6 1

Output

Rohit 7 (2) SR 350.00
Gill 8 (5) SR 160.00
ON STRIKE Rohit

Rohit takes a single, Gill scores 4, 0, 2 and a single, Rohit hits 6 off the last ball, the over ends so Gill faces ball 7, and his single brings Rohit back on strike.

Hints

Try the problem first. Open one hint at a time.

Hint 1

Batter striker = a; Batter other = b; makes two more arrows to the same two objects.

Hint 2

Swap with a temporary variable: Batter t = striker; striker = other; other = t;.

Hint 3

On the sixth ball an odd run and the end of the over cancel out: the batter keeps the strike.

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