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#include <stdio.h>

void main(){
	int n,j,i;
	printf("Enter the number of points: ");
	scanf("%d",&n);
    float x[n],y[n];
    for(i=0;i<n;i++){
    	printf("\n Enter data %d: ",i+1);
    	scanf("%f",&x[i]);
    	printf("Enter the corresponding value of data %d: ",i+1);
	    scanf("%f",&y[i]);
	}
	float point;
	printf("\n Enter the value at which interpolated value is needed: ");
	scanf("%f",&point);
	float dd[n];
	for(i=0;i<n;i++){
		for(j=n-1;j>=i+1;j=j-1){
			dd[j]= (dd[j]-dd[j-1])/(x[j]-x[j-1-i]);
		}
	}
	float v=0,p=1.0;
	
	for(i=0;i<n;i++){
		for(j=0;j<i;j++){
			p=p*(point-x[j]);
		}
		v= v+dd[i]*p;
		p=1;
	}
	
	printf("\n The interpolated value is %f ",v);
	
}