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Sir Arthur Eddington's Cricket Problem

Extract from the score of a cricket match between Eastershire and Westershire:

EASTERSHIRE - Second Innings:

A. A. Atkins6
Bodkins8
D. D. Dawkins6
Hawkins6
Jenkins (J)5
Larkins4
Meakins7
Hon. P. P. Perkins11
Capt. S. S. Simkins6
Tomkins0
Wilkins1
Extras0
Total60

Bowling Analysis:

  OversMaidensRunsWickets
Pitchwell12.12148
Speedwell60151
Tosswell75311

The score was entirely in singles and fours, with no catches, no-balls, or short runs. Speedwell and Tosswell each had only one spell of bowling. Pitchwell bowled the first over, with Mr Atkins taking the first ball. Speedwell was the other opening bowler.

Q:

  1. Whose wickets were taken by Speedwell and Tosswell?
  2. Who was not out?
  3. What was the score at the fall of each wicket?

[Editor's note: This is a brilliant and complex puzzle. The spoiler has two complete solutions, but each is well over 1000 words. I do urge you to have a serious crack at it before you look at the spoiler. Here are some hints to get you started if you want, hidden by rot13 so as not to spoil the fun:

  1. Jub objyrq rnpu bire?
  2. Jung fpbevat fgebxrf jrer gurer va Gbffjryy'f aba-znvqra biref? Jub pbhyq unir fpberq gurz?
  3. Jung qbrf guvf gryy lbh nobhg Obqxvaf?
  4. Jung pna lbh fnl nobhg jung unccrarq va gur svefg srj biref?]

Spoiler


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