190. Function Evaluation

Write a function to evaluate $f(x, y) = 4 \ast x - 6 \ast y$ for a lot of $x$ and $y$. The prototype of the function is as follows.

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int evaluate_f(int *iptr[], int n, int *index);

Each pointer in iptr points to an array of two integers. The first integer is $x$, and the second integer is $y$. The length of the pointer array is $n$, so there are $n$ pairs of $x$ and $y$ that you need to evaluate $f(x, y)$. Compute these $f(x, y)$ and return the maximum as the return value of evaluate_f. Also you need to set index so that it becomes the index into iptr where the maximum happens. If the maximum value can be evaluated from multiple $(x, y)$ pairs, set the index to be the smallest among them. For example, if the $x$ and $y$ pointed by iptr[3] and iptr[5] both have the maximum $f(x, y) = 100$, then evaluate_f should return $100$ and index should be set to $3$. Variable $n$ is always positive.

Input format

n > 0

Sample Input

We may test your program in the following code:

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#include <stdio.h>
#include "evaluate_f.h"
 
int main(){
  int a[] = { 9, 7 };
  int b[] = { 3, 2 };
  int c[] = { 3, 2 };
  int d[] = { 9, 7 };
  int *iptr[] = { a, b, c, d };
  int max, index;
  max = evaluate_f(iptr, 4, &index);
  printf("%d %d\n", max, index);
}

Sample Output

0 1