#include <math.h>
#include <stdio.h>
#include <stdlib.h>
int main()
{
float x[20], y[20], a, sum, p;
int n, i, j;
printf("Enter the no of entry to insert->");
scanf("%d", &n);
for (i = 0; i < n; i++)
{
printf("enter the value of x%d->", i);
scanf("%f", &x[i]);
printf("enter the value of y%d->", i);
scanf("%f", &y[i]);
}
printf("\n X \t\t Y \n");
printf("----------------------------\n");
for (i = 0; i < n; i++)
{
printf("%f\t", x[i]);
printf("%f\n", y[i]);
}
printf("\nenter the value of x for interpolation:");
scanf("%f", &a);
sum = 0;
for (i = 0; i < n; i++)
{
p = 1.0;
for (j = 0; j < n; j++)
{
if (i != j)
{
p = p * (a - x[j]) / (x[i] - x[j]);
}
sum = sum + y[i] * p;
}
printf("ans is->%f", sum);
return 0;
}
}