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by Shafin666
Tue Dec 18, 2018 4:53 pm
Forum: Secondary Level
Topic: A PROBLEM OF "BDMO PROSTUTI""
Replies: 8
Views: 5441

Re: A PROBLEM OF "BDMO PROSTUTI""

Note that the number of positive integer solutions to $x+8y+8z=n$ is equal to the number of positive integer solutions of $8y+8z < n$. However, the number of solutions to the second equation is equal to the number of positive integer solutions to $y+z < \left\lfloor \dfrac{n}{8}\right\rfloor+1$. Le...