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UVWXYZ (Posted on 2013-05-27) Difficulty: 4 of 5
Alice and Bob play a game. Starting with Alice, they alternate in selecting digits for a 6-digit decimal number UVWXYZ that they construct from left to right. Alice chooses U, then Bob chooses V, then Alice chooses W, and so on. No digit can be repeated. Alice wins if UVWXYZ is not a prime. Can Alice always win?

No Solution Yet Submitted by Danish Ahmed Khan    
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Hints/Tips re: My solution (computer assisted) | Comment 5 of 12 |
(In reply to My solution (computer assisted) by Charlie)

2.You list:


1122
1158
1416
1794
the 1st 3 entries c o n t r a d i c t the non- repetition rule
1794 ... if Alice puts 3  , Bob is left with  0,2,5,6,8 -will lose
ergo... Bob will always try to choose even digits or the digit 5 to be left ...
with 2 last odd digits to choose from*

So the current list of centuries is not compatible with the game's rules.

  Posted by Ady TZIDON on 2013-05-28 08:51:13
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