#include <iostream.h>
#include <fstream.h>
#include <math.h>

void main()

{
	double f[100];
	ofstream out("diff.txt");
	double first[99], second[98], third[97], fourth[96];
	int i;
	for(i=0;i<100;i++)f[i]=pow(i,4)-5*pow(i,3)+3*i+4; // function
	for(i=0;i<99;i++)first[i]=f[i]-f[i+1];// first difference
	for(i=0;i<98;i++)second[i]=first[i]-first[i+1];// second difference
	for(i=0;i<97;i++)third[i]=second[i]-second[i+1];// third difference
	for(i=0;i<96;i++)fourth[i]=third[i]-third[i+1];// fourth difference
	for(i=0;i<100;i++)out<<f[i]<<"\t";out<<endl;
	for(i=0;i<99;i++)out<<first[i]<<"\t";out<<endl;
	for(i=0;i<98;i++)out<<second[i]<<"\t";out<<endl;
	for(i=0;i<97;i++)out<<third[i]<<"\t";out<<endl;
	for(i=0;i<96;i++)out<<fourth[i]<<"\t";out<<endl;
}