Vietnamese snake puzzle  Closed

05202015, 01:24 PM
Post: #5




RE: Vietnamese snake puzzle  Closed
Let's assume the 10 variables are named A through I, and that we're doing the standard order of operations here (multiplication and division together from left to right, then addition and subtraction together from left to right).
If we assume that noninteger intermediate results are allowable (e.g. G * H / I can be 1 * 4 / 8), then there are 120 valid solutions (verified via brute force with Heap's algorithm in C#  no, I'm not going to generate 362,880 permutations with a 9level recursive algorithm on my 48*). If we stipulate that 13 * B / C and G * H / I must have integer results, then there are 20 valid solutions. *Although, there is a 3day weekend coming up... 

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