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

//define the type
typedef struct {int n; float *fp;}  Vector;        // used in problem A.
typedef struct {int n; int m; float *fp;}  Matrix; // will be used in problem B: n is the row; m is the column
typedef struct {int f;int df;int ddf;} Int3;       // will be used in problem B

//subfunctions for vectors
Vector CreateVector(int n);
int ReadVector(Vector *x); // this function is kind of like scanf but only work for read vectors. 
void PrintVector(Vector x);
void DestroyVector(Vector *x);
//sybfunctions for matrix
Matrix CreateMatrix(int n,int m);
void PrintMatrix(Matrix x);
void DestroyMatrix(Matrix *x);

//function value of problem B 
int fB(Vector x,float *fp,Vector *df,Matrix *ddf,Int3 spec);

Int3 countset(int a,int b,int c);