challenge for programmable calculators

[Don Shepherd]

I realize that the 17bii is not in the same league as the 50g and RPL, and is not even considered a "programmable" calculator by most (including HP), but it can solve this problem. The following solver equation stops and displays "Solution Not Found" when, ironically, it finds a solution, so you RCL ANS to see the solution. When you run it the first time, start at 111 and solve for ANS, and it finds the first solution pretty quickly. Then start at 136 and it finds the second solution quickly.

By this problem, I also wanted to discover how easy it is to use the special characters for sigma, multiply, and divide.

Code:


ANS = ∑(J:START:999:1:
            IF(
                0×L(A:1)+
                ∑(I:0:LOG(J):1:
                   L(B:MOD(IDIV(J:10^I):10))
                   +0×L(A:G(A)×G(B))
                  )
                   ×G(A)=J:
                               L(ANS:J)÷0
                              :0
               )
            )