### Number Game

Its raining outside and john and Kim are bored.

john suggests the following games:

Two players alternatively erase some 9 numbers from the sequence 1,2,...,101

until only two remain. The player that starts wins x−54 dollars from the

player that plays second. Here x is the diﬀerence between the remaining

two numbers. Would you rather be the ﬁrst or the second player?

john suggests the following games:

Two players alternatively erase some 9 numbers from the sequence 1,2,...,101

until only two remain. The player that starts wins x−54 dollars from the

player that plays second. Here x is the diﬀerence between the remaining

two numbers. Would you rather be the ﬁrst or the second player?

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