#include <iostream>
#include <bits/stdc++.h>
using namespace std;

double FofX(double input) {
    return 1/input - cos(input);
}

double root(double ak, double bk) {
    return (ak * FofX(bk) - bk * FofX(ak)) / (FofX(bk) - FofX(ak));
}

int main() {
    int k = 0;
    double a = 4.0;
    double b = 6.0;
    double x = 0.0;
    cout << "k\t\tak\t\tbk\t\txk\t\t" << endl;

    for (k = 0; k <= 5; k++) {
        x = root(a, b);

        cout << k << "\t\t" << a << "\t\t" << b << "\t\t" << x << endl;

        if (FofX(x) * FofX(a) < 0) {
            b = x;
        } else {
            a = x;
        }
    }

}