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

int main() {
	int i;
	double precision = 1e-10 , x;
	
	printf("***輸入x值(x>0)計算平方根***\n");
	printf("輸入x值=> ");
	scanf("%lf",&x);
	double mid , lower , upper;

	
	if(x<0){
		printf("錯誤! X值不能<1");
		return 1;
	}
	
	if(x>1){
		lower=0 , upper=x , i=0;
		while (upper - lower > precision) {
		    mid = (lower + upper) / 2.0;  
		    printf("#%d\t[%.10f,%.10f]\t解=%.10f\n",i+1,lower,upper,mid);
		    i++;
		    if (mid * mid > x) {
		        upper = mid;
		    } else {
		        lower = mid;
		    }
		}
	}
	
	if(x<1){
		lower=x , upper=1 ,i=0;
		while (upper - lower > precision) {
		    mid = (lower + upper) / 2.0;  
		    printf("#%d\t[%.10f,%.10f]\t解=%.10f\n",i+1,lower,upper,mid);
		    i++;
		    if (mid * mid > x) {
		        upper = mid;
		    } else {
		        lower = mid;
		    }
		}
	}
	
	printf("%f的平方根為%.10f\n",x,mid);
	printf("sqrt(%f)的結果為%.10f\n",x,sqrt(x));
	
	return 0;
}