Product of maximum in first array and minimum in second in C

Given two arrays arr1[] and arr2[] of some size n1 and n2 respectively, we have to find the product of maximum element of first array arr1[] and minimum element of the second array arr2[].

Like we have elements in arr1[] = {5, 1, 6, 8, 9} and in arr2[] = {2, 9, 8, 5, 3} so the maximum element in arr1 is 9 and the minimum element in arr2 is 2 so the product of both is 9*2 = 18, likewise we have to write a program to solve the given problem.

Input

arr1[] = {6, 2, 5, 4, 1}
arr2[] = {3, 7, 5, 9, 6}

Output

Explanation

MAX(arr1) * MIN(arr2) → 6 * 3 = 18

Input

arr1[] = { 2, 3, 9, 11, 1 }
arr2[] = { 5, 4, 2, 6, 9 }

Output

Explanation

MAX(arr1) * MIN(arr2) → 11 * 2 = 22

Approach used below is as follows to solve the problem

We will two arrays arr1 and arr2 as input
We will sort both the arrays in ascending order.
We will multiply the last element of arr1 (the maximum element) and the first element of arr2 (the minimum element).
Return the product.

Algorithm

Start
In function int sortarr(int arr[], int n)
   Step 1→ Declare and initialize temp
   Step 2→ For i = 0 and i < n-1 and ++i
      For j = i+1 and j<n and j++
         If arr[i]> arr[j] then,
         Set temp as arr[i]
         Set arr[i] as arr[j]
         Set arr[j] as temp
In Function int minMaxProduct(int arr1[], int arr2[], int n1, int n2)
   Step 1→ Call sortarr(arr1, n1)
   Step 2→ Call sortarr(arr2, n2)
   Step 3→ Return (arr1[n1 - 1] * arr2[0])
In Function int main()
   Step 1→ Declare and Initialize arr1[] = { 2, 3, 9, 11, 1 }
   Step 2→ Declare and Initialize arr2[] = { 5, 4, 2, 6, 9 }
   Step 3→ Declare and Initialize n1, n2 and initialize the size of both arrays
   Step 4→ Print minMaxProduct (arr1, arr2, n1, n2))
Stop

Example

#include <stdio.h>
int sortarr(int arr[], int n){
   int temp;
   for (int i = 0; i < n-1; ++i){
      for(int j = i+1; j<n; j++){
         if(arr[i]> arr[j]){
            temp = arr[i];
            arr[i] = arr[j];
            arr[j] = temp;
         }
      }
   }
   return 0;
}
int minMaxProduct(int arr1[], int arr2[], int n1, int n2){
   // Sort the arrays to get
   // maximum and minimum
   sortarr(arr1, n1);
   sortarr(arr2, n2);
   // Return product of
   // maximum and minimum.
   return arr1[n1 - 1] * arr2[0];
}
int main(){
   int arr1[] = { 2, 3, 9, 11, 1 };
   int arr2[] = { 5, 4, 2, 6, 9 };
   int n1 = sizeof(arr1) / sizeof(arr1[0]);
   int n2 = sizeof(arr1) / sizeof(arr1[0]);
   printf("%d\n",minMaxProduct (arr1, arr2, n1, n2));
   return 0;
}

Output

If run the above code it will generate the following output −