Solutions to Assignment 3

//3.1

#include 
#include 
//use namespace std;

int
main(int argc, char **argv) {
    long int f0, f1, fk;
    int N;

    cout << "Enter N and the starting numbers: ";
    cin >> N >> f0 >> f1;
   
    if (N < 0) {
       cout << "Usage: " << argv[0] << " " << endl;
       return -1;
    }

    switch (N) {
       case 0:
           fk = f0;
           break;
       case 1:
           fk = f1;
           break;
       default:
           fk = static_cast(pow(2.0, N - 2) * (f0 + f1));
           break;
    }

    cout << "f(" << N << ") is: " << fk << endl;
    return 1;
}



   

//3.2

#include 
// use namespace std;

int
main() {

    unsigned int id;
    cin >> id; 
   
    float REG_HRS, wage, overtime, OT_WAGE;
    cin >> REG_HRS >> wage >> overtime >> OT_WAGE;
    float gross_pay = REG_HRS * wage + overtime*OT_WAGE;

    float SOC_SECUR_RATE;
    cin >> SOC_SECUR_RATE;
    float soc_secur_tax = SOC_SECUR_RATE * gross_pay;

    float DEPENDENT_DEDUCTION, dependents;
    cin >> DEPENDENT_DEDUCTION >> dependents;
    float deductions = DEPENDENT_DEDUCTION * dependents;

    float FIT_RATE;
    cin >> FIT_RATE;
    float fed_inc_tax = FIT_RATE * (gross_pay - deductions);

    float UNION_DUES_RATE;
    cin >> UNION_DUES_RATE;
    float union_dues = UNION_DUES_RATE * gross_pay;

    float net_pay = gross_pay - soc_secur_tax - fed_inc_tax - union_dues;
    cout << id << ": " << net_pay;

    return 1;
}


    

// 3.3

#include 
#include 
#include 
#include 
#include 
// use namspace std;

int
main(char argc, char **argv) {
   double id, ic = 0.0;
   double x, y; 

    /* 
     * Without this initialization of the generator mechanism
     * the returning sequence every running will be the same
     */
    srand(time(NULL));
    for (id = 0.0; id < 1000.0; id++) {
        x = static_cast(rand() % 10000) / 10000.0;
        y = static_cast(rand() % 10000) / 10000.0;
        if ((x - .5)*(x - .5) + (y - .5)*(y - .5) <= .25)
            ic += 1.0;
    }

    cout << setprecision(6) 
         << "PI/4 = " << ic / id << " and PI = " << 4.0 * ic / id << endl;

    return 1;
}


  

// 3.4

#include 

int
main() {
    int N, i = 0;
    char buffer[30];

    cin >> N;
    while (N) {
        buffer[i++] = N % 2 + '0';
        N /= 2;
    }
    while (i > -1) {
        cout << buffer[--i];
    }
    cout << endl;
    return 1;
}


   


// 3.5
#include 
// use namespace std;

int
palindrom(int N) {
    char c1, c2;
    int r;

    if (N < 1)
        return 1;
    else if (N == 1) {
        cin >> c1;
        return 1;
    }
    cin >> c1;
    r = palindrom(N - 2);
    cin >> c2;
 
    return r && (c1 == c2);
}

int
main() {
    int N; 

    cin >> N;
    cout << "Sequence was " << (palindrom(N) ? "" : "not ") 
         << "a palindrom." << endl; 

   return 1;
}