For each program: show a hand trace of the code; determine the output and explain, briefly, what the code accomplishes. #include using namespace std; bool isAthing (int); int countAthing (int&, int); void doIt(int); int main() {doIt(12); doIt(17); doIt(144);} void doIt (int num0) {int num1 - num0; bool first-true; for (int 1-2; num1 > 1; 1 ++} {if (isAthing (i) && num1&I ==0 {if (!first) cout using namespace std; int doIt(int); int main() {cout 0) {num1 += num2*(num0%2); num0/= 2; num2 *= 10;} return num1;}