Farmer John and Bessie the cow love to exchange math puzzles in their free time. The last puzzle FJ gave Bessie was quite difficult and she failed to solve it. Now she wants to get even with FJ by giving him a challenging puzzle.

Bessie gives FJ the expression (B+E+S+S+I+E)(G+O+E+S)(M+O+O), containing the seven variables B,E,S,I,G,O,M (the "O" is a variable, not a zero). For each variable, she gives FJ a list of up to 20 integer values the variable can possibly take. She asks FJ to count the number of different ways he can assign values to the variables so the entire expression evaluates to an even number.

[Problem credits: Brian Dean, 2015]

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Bessie Gets Even timer 1s memory 256MB

#3935

Bessie Gets Even 1s 256MB