REPLY: Most of the time I cringe when I hear someone say, "The officials cost us the game." Typically, the reason is not that simple. But here, it's clear: If the officials had properly ruled, R would have won the game. Because of their error, K won the game. I have never seen such a perfect example of an official's error determining the outcome of a game. Whether R should (could?) have scored more points earlier is immaterial. Without the error, R wins; with the error, K wins.
It's a shame that it came down to that, but hopefully all who have read this post will never make that kind of mistake. Thanks tpaul for bringing it to our collective attention.
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Bob M.
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