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The normal rule is that third hand plays high unless his top card is below the nine; then he gives count (playing his lowest from an odd number and starting an echo — a high-low — with an even number).
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Table 2 gives counts of subcell centroids in each district in other grid cells (not shown).
He had also given count in hearts.
So most Easts would have given count.
Against three no-trump, West led the club deuce, East playing his three to give count.
First, give count (unless you think it will help declarer more than partner).
South took the trick with his nine and played the diamond king, East giving count again with his five.
If attitude is known or irrelevant, you give count, telling partner how many cards you have left in the suit.
(When you cannot play the nine or higher, do not automatically play third hand high; instead, give count).
If he was giving count, he should have either dropped the eight (normal signals) or the deuce (reverse signals).
One who wouldn't give "Count" short shrift was Martin Scorsese, the director of "Alice," who was executive producer of "Count" and whose company was its co-producer.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com