#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>


double solve (double x, double eps);
double power (double x, double y);
double taylor_series (double exponent1, double x, double eps);




double solve (double x, double eps)
{
    double res = x;
    double fl, fraction_part;
    double exponent1, exponent2;
    int i;


    fl = floor(x);
    fraction_part = x - fl;


    exponent1 = power(M_E, fl);

    exponent2 = taylor_series(exponent1, fraction_part, eps);



    res = exponent1 * exponent2;

    return res;
}




double power (double x, double y)
{
    double res = 1;
    int i;
    double pos = fabs(y);



    for (i = 0; i < y; ++i)
        res *= x;


    if (y < 0)
        res = 1 / res;



    return res;
}



double taylor_series (double exponent1, double x, double eps)
{
    double monomial = 1;
    double s = monomial;
    int k;


    if (fabs(exponent1 * monomial) < eps)
        return s;


    for (k = 1; ; ++k) {

        monomial *= x / k;

        if (fabs(exponent1 * monomial) < eps)
            break;

        s += monomial;
    }



    return s;
}




int main (void)
{
    double t, res, x, eps;



    printf("Input \"x\" and \"eps\": ");

    if (scanf("%lf %lf", &x, &eps) != 2)
        return 1;


    if (eps <= 0)
        return 2;



    t = clock();

    res = solve(x, eps);

    t = (clock() - t) / CLOCKS_PER_SEC;



    printf("\nThe answer is %.16f\n", res);
    printf("The difference = %.16f", fabs(res - exp(x)));
    printf("\nElapsed = %.2f\n", t);



    return 0;
}