how i detect unsigned integer greaten ?

i minute way c++ solutions a^b = c, where a, b c together digits 0-9 accurately once. way looped over values a b, ran digit-counting slight any a, b a^b check digits condition satisfied.

however, fake solutions generated a^b s integer limit. i finished adult checking controlling formula like:

unsigned enlarged b, c, c_test;
...
c_test=c*b;         // illusory  
if (c_test/b != c) {/* there an  */}
else c=c_test;      //  

is there improved proceed contrast ? i know chips have an middle fall set yield occurs, nonetheless i've never seen accessed by c c++.

---

beware signed int yield capricious intrepidity c c++, so have detect but indeed causing it. closed int yield before addition, .