#include <stdio.h>
#include <locale.h>
#include <math.h>

float factorial(float n) {
    float res=1;
    for(float i=1;i<=n;i++)
        res*=i;
        return res;

}

int main() {
    setlocale(0, "");
    float Y=0;
    printf("%s %17s %14s %11s","x","Y","S","N");
    fflush(stdout);
    for(float x=0;x<=1;x+=0.2){
        float S=0;
        Y =cos(1-x*4);
        float delta=1;
        int n=0;
        while(delta>0.000001) {
            S += pow(-1, n) * pow(1 - x * 4, 2 * n) / factorial(2 * n);
            n++;
            delta = fabs(S - Y);

        }printf("\n%f %14.6f %14.6f       %d", x, Y, S, n);
    }


    return 0;
}