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freeflyz

CAN you beat this game?

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Ok, here is the solution:



Case 1
He takes: 1 on row of 3
I take: 3 of row of 6

a. He takes: 4 in row of 5
I take: All of row of 4
He takes: 1 in row of 3
I take: 2 in row of 6
He takes: 1 of 3 remaining
I take: 1 of 2 remaining
I WIN!

b. He takes: 1 in row of 3
I take: Rest of row of 6
He takes: 3 from row of 5
I take: 1 from row of 4
He takes: Rest of row of 3
I take: 1 from row of 4
He takes: 1 from row of 4
I take: Rest of row of 5
I WIN!

c. He takes: 3 on row of 4
I take: All of row of 5
He takes: 2 on row of 6
I take: 1 on row of 3
He takes: 1 of remaining 3
I take: 1 of remaining 2
I WIN!

d. He takes: 2 on row of 6
I take: Rest of row of 3
He takes: 1 on row of 4
I take: 3 on row of 5
He takes: 1 on row of 4
I take: Rest of row of 6
He takes: 1 on row of 4
I take: Rest of row of 5
I WIN!


Case 2
He takes: 5 of row of 6
I take: All of row of 3
He takes: 1 on row of 4
I take: 3 on row of 5
He takes: 1 on row of 4
I take: Rest of row of 6
He takes: 1 on row of 4
I take: Rest of row of 5
I WIN!


Case 3
He takes: 3 of row of 4
I take: 1 of row of 3

a. He takes: Rest in row of 3
I take: 2 in row of 6
He takes: 2 in row of 6
I take: 2 in row of 5
He takes: 1 in row of 5
I take: Rest in row of 4
He takes: 1 in row of 5
I take: Rest in row of 6
I WIN!

b. He takes: 2 in row of 6
I take: Rest of row of 3
He takes: 2 of row of 6
I take: 2 in row of 5
He takes: 1 in row of 5
I take: Rest in row of 4
He takes: 1 in row of 5
I take Rest of row of 6
I WIN!

c. He takes: 1 in row of 5
I take: Last in row of 4
He takes: 3 in row of 6
I take: 3 in row of 5
He takes: 1 in row of 3
I take: 2 in row of 6
He takes: 1 of 3 remaining
I take: 1 of 2 remaining
I WIN!

d. He takes: Last in row of 4
I take: 1 in row of 5
He takes: 3 in row of 6
I take: 3 in row of 5
He takes: 1 in row of 3
I take: 2 in row of 6
He takes: 1 of 3 remaining
I take: 1 of 2 remaining
I WIN!

Case 4
He takes: 3 of row of 5
I take: All of row of 3
He takes: 1 in row of 5
I take: 1 in row of 6
He takes: 2 in row of 6
I take: 2 in row of 4
He takes: 1 in row of 4
I take: 2 in row of 6
He takes: 1 of remaining 3
I take: 1 of remaining 2
I WIN!


Edit to add: He MUST start first.

Make that pussy pimp weep. :P
__________________________________________
Blue Skies and May the Force be with you.

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I wrote an algorithm in C that works for any size of 'matches' and 'max take' amount if anyone wants to see it. Did it a couple years ago for a class. :)
Edit: Since it is purely mathematical if you pick the wrong max amounts then you will lose no matter what depending on what turn the numbers affect.

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