# Product of maximum in first array and minimum in second

Given two arrays, the task is to calculate the product of max element of first array and min element of second array

Examples :

```Input : arr1[] = {5, 7, 9, 3, 6, 2},
arr2[] = {1, 2, 6, -1, 0, 9}
Output : max element in first array
is 9 and min element in second array
is -1. The product of these two is -9.

Input : arr1[] = {1, 4, 2, 3, 10, 2},
arr2[] = {4, 2, 6, 5, 2, 9}
Output : max element in first array
is 10 and min element in second array
is 2. The product of these two is 20.
```

## Recommended: Please solve it on PRACTICE first, before moving on to the solution.

Method 1: Naive approach We first sort both arrays. Then we easily find max in first array and min in second array. Finally we return product of min and max.

## C++

 `// C++ program to calculate the ` `// product of max element of ` `// first array and min element ` `// of second array ` `#include ` `using` `namespace` `std; ` ` `  `// Function to calculate ` `// the product ` `int` `minMaxProduct(``int` `arr1[],  ` `                  ``int` `arr2[],  ` `                  ``int` `n1,  ` `                  ``int` `n2) ` `{ ` `    ``// Sort the arrays to find  ` `    ``// the maximum and minimum  ` `    ``// elements in given arrays ` `    ``sort(arr1, arr1 + n1); ` `    ``sort(arr2, arr2 + n2); ` ` `  `    ``// Return product of ` `    ``// maximum and minimum. ` `    ``return` `arr1[n1 - 1] * arr2; ` `} ` ` `  `// Driven code ` `int` `main() ` `{ ` `    ``int` `arr1[] = { 10, 2, 3, 6, 4, 1 }; ` `    ``int` `arr2[] = { 5, 1, 4, 2, 6, 9 }; ` `    ``int` `n1 = ``sizeof``(arr1) / ``sizeof``(arr1); ` `    ``int` `n2 = ``sizeof``(arr1) / ``sizeof``(arr1); ` `    ``cout << minMaxProductt(arr1, arr2, n1, n2); ` `    ``return` `0; ` `} `

## Java

 `// Java program to find the  ` `// to calculate the product  ` `// of max element of first  ` `// array and min element of  ` `// second array ` `import` `java.util.*; ` `import` `java.lang.*; ` ` `  `class` `GfG ` `{ ` ` `  `    ``// Function to calculate ` `    ``// the product ` `    ``public` `static` `int` `minMaxProduct(``int` `arr1[], ` `                                    ``int` `arr2[],  ` `                                    ``int` `n1,  ` `                                    ``int` `n2) ` `    ``{ ` ` `  `        ``// Sort the arrays to find the  ` `        ``// maximum and minimum elements  ` `        ``// in given arrays ` `        ``Arrays.sort(arr1); ` `        ``Arrays.sort(arr2); ` ` `  `        ``// Return product of maximum ` `        ``// and minimum. ` `        ``return` `arr1[n1 - ``1``] * arr2[``0``]; ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `main(String argc[]) ` `    ``{ ` `        ``int` `[] arr1= ``new` `int` `[]{ ``10``, ``2``, ``3``,  ` `                                  ``6``, ``4``, ``1` `}; ` `        ``int` `[] arr2 = ``new` `int` `[]{ ``5``, ``1``, ``4``,  ` `                                  ``2``, ``6``, ``9` `}; ` `        ``int` `n1 = ``6``; ` `        ``int` `n2 = ``6``; ` `        ``System.out.println(minMaxProduct(arr1,  ` `                                         ``arr2,  ` `                                         ``n1, n2)); ` `    ``} ` `} ` ` `  `/*This code is contributed by Sagar Shukla.*/`

## Python

 `# A Python program to find the to ` `# calculate the product of max ` `# element of first array and min ` `# element of second array ` ` `  `# Function to calculate the product ` `def` `minmaxProduct(arr1, arr2, n1, n2): ` ` `  `    ``# Sort the arrays to find the  ` `    ``# maximum and minimum elements ` `    ``# in given arrays ` `    ``arr1.sort() ` `    ``arr2.sort() ` ` `  `    ``# Return product of maximum ` `    ``# and minimum. ` `    ``return` `arr1[n1 ``-` `1``] ``*` `arr2[``0``] ` ` `  `# Driver Program ` `arr1 ``=` `[``10``, ``2``, ``3``, ``6``, ``4``, ``1``] ` `arr2 ``=` `[``5``, ``1``, ``4``, ``2``, ``6``, ``9``] ` `n1 ``=` `len``(arr1) ` `n2 ``=` `len``(arr2) ` `print``(minmaxProduct(arr1, arr2, n1, n2)) ` ` `  `# This code is contributed by Shrikant13. `

## C#

 `// C# program to find the to  ` `// calculate the product of  ` `// max element of first array  ` `// and min element of second array ` `using` `System; ` ` `  `class` `GfG ` `{ ` ` `  `    ``// Function to calculate the product ` `    ``public` `static` `int` `minMaxProduct(``int` `[]arr1,  ` `                                    ``int` `[]arr2,  ` `                                    ``int` `n1,  ` `                                    ``int` `n2) ` `    ``{ ` ` `  `        ``// Sort the arrays to find the  ` `        ``// maximum and minimum elements  ` `        ``// in given arrays ` `        ``Array.Sort(arr1); ` `        ``Array.Sort(arr2); ` ` `  `        ``// Return product of maximum ` `        ``// and minimum. ` `        ``return` `arr1[n1 - 1] * arr2; ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``int` `[] arr1= ``new` `int` `[]{ 10, 2, 3,  ` `                                 ``6, 4, 1 }; ` `        ``int` `[] arr2 = ``new` `int` `[]{ 5, 1, 4, ` `                                  ``2, 6, 9 }; ` `        ``int` `n1 = 6; ` `        ``int` `n2 = 6; ` `        ``Console.WriteLine(minMaxProduct(arr1, arr2,  ` `                                        ``n1, n2)); ` `    ``} ` `} ` ` `  `/*This code is contributed by vt_m.*/`

## PHP

 ` `

Output :

`10`

Time Complexity : O(n log n)
Space Complexity : O(1)

Method 2 : Efficient approach In this approach, we simply traverse the whole arrays and find max in first array and min in second array and can easily get product of min and max.

## C++

 `// C++ program to find the to  ` `// calculate the product of  ` `// max element of first array ` `// and min element of second array ` `#include ` `using` `namespace` `std; ` ` `  `// Function to calculate the product ` `int` `minMaxProduct(``int` `arr1[], ``int` `arr2[],  ` `                  ``int` `n1, ``int` `n2) ` `{ ` `    ``// Initialize max of first array ` `    ``int` `max = arr1; ` ` `  `    ``// initialize min of second array ` `    ``int` `min = arr2; ` ` `  `    ``int` `i; ` `    ``for` `(i = 1; i < n1 && i < n2; ++i)  ` `    ``{ ` ` `  `        ``// To find the maximum  ` `        ``// element in first array ` `        ``if` `(arr1[i] > max) ` `            ``max = arr1[i]; ` ` `  `        ``// To find the minimum  ` `        ``// element in second array ` `        ``if` `(arr2[i] < min) ` `            ``min = arr2[i]; ` `    ``} ` ` `  `    ``// Process remaining elements ` `    ``while` `(i < n1) ` `    ``{ ` `        ``if` `(arr1[i] > max) ` `        ``max = arr1[i];  ` `        ``i++; ` `    ``} ` `    ``while` `(i < n2) ` `    ``{ ` `        ``if` `(arr2[i] < min) ` `        ``min = arr2[i];  ` `        ``i++; ` `    ``} ` ` `  `    ``return` `max * min; ` `} ` ` `  `// Driven code ` `int` `main() ` `{ ` `    ``int` `arr1[] = { 10, 2, 3, 6, 4, 1 }; ` `    ``int` `arr2[] = { 5, 1, 4, 2, 6, 9 }; ` `    ``int` `n1 = ``sizeof``(arr1) / ``sizeof``(arr1); ` `    ``int` `n2 = ``sizeof``(arr1) / ``sizeof``(arr1); ` `    ``cout << minMaxProduct(arr1, arr2, n1, n2) ` `         ``<< endl; ` `    ``return` `0; ` `} `

## Java

 `// Java program to calculate the ` `// product of max element of first  ` `// array and min element of second array ` `import` `java.util.*; ` `import` `java.lang.*; ` ` `  `class` `GfG ` `{ ` ` `  `    ``// Function to calculate the product ` `    ``public` `static` `int` `minMaxProduct(``int` `arr1[],  ` `                                    ``int` `arr2[],  ` `                                    ``int` `n1,  ` `                                    ``int` `n2) ` `       ``{ ` ` `  `        ``// Initialize max of ` `        ``// first array ` `        ``int` `max = arr1[``0``]; ` ` `  `        ``// initialize min of  ` `        ``// second array ` `        ``int` `min = arr2[``0``]; ` ` `  `        ``int` `i; ` `        ``for` `(i = ``1``; i < n1 && i < n2; ++i)  ` `        ``{ ` ` `  `        ``// To find the maximum  ` `        ``// element in first array ` `        ``if` `(arr1[i] > max) ` `            ``max = arr1[i]; ` ` `  `        ``// To find the minimum element ` `        ``// in second array ` `        ``if` `(arr2[i] < min) ` `            ``min = arr2[i]; ` `        ``} ` ` `  `        ``// Process remaining elements ` `        ``while` `(i < n1) ` `        ``{ ` `            ``if` `(arr1[i] > max) ` `            ``max = arr1[i];  ` `            ``i++; ` `        ``} ` `        ``while` `(i < n2) ` `        ``{ ` `            ``if` `(arr2[i] < min) ` `            ``min = arr2[i];  ` `            ``i++; ` `        ``} ` ` `  `        ``return` `max * min; ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `main(String argc[]) ` `    ``{ ` `        ``int` `[] arr1= ``new` `int` `[]{ ``10``, ``2``, ``3``,  ` `                                 ``6``, ``4``, ``1` `}; ` `        ``int` `[] arr2 = ``new` `int` `[]{ ``5``, ``1``, ``4``,  ` `                                  ``2``, ``6``, ``9` `}; ` `        ``int` `n1 = ``6``; ` `        ``int` `n2 = ``6``; ` `        ``System.out.println(minMaxProduct(arr1, arr2,  ` `                                          ``n1, n2)); ` `    ``} ` `} ` ` `  `// This code is contributed by Sagar Shukla `

## Python3

 `# Python3 program to find the to  ` `# calculate the product of  ` `# max element of first array  ` `# and min element of second array  ` ` `  `# Function to calculate the product  ` `def` `minMaxProduct(arr1, arr2,  ` `                  ``n1, n2) : ` ` `  `    ``# Initialize max of first array  ` `    ``max` `=` `arr1[``0``]  ` ` `  `    ``# initialize min of second array  ` `    ``min` `=` `arr2[``0``]  ` `     `  `    ``i ``=` `1` `    ``while` `(i < n1 ``and` `i < n2) : ` `     `  `        ``# To find the maximum  ` `        ``# element in first array  ` `        ``if` `(arr1[i] > ``max``) : ` `            ``max` `=` `arr1[i]  ` ` `  `        ``# To find the minimum  ` `        ``# element in second array  ` `        ``if` `(arr2[i] < ``min``) : ` `            ``min` `=` `arr2[i]  ` `         `  `        ``i ``+``=` `1` ` `  `    ``# Process remaining elements  ` `    ``while` `(i < n1) : ` `     `  `        ``if` `(arr1[i] > ``max``) : ` `            ``max` `=` `arr1[i]  ` `            ``i ``+``=` `1` `     `  `    ``while` `(i < n2):  ` `     `  `        ``if` `(arr2[i] < ``min``) : ` `            ``min` `=` `arr2[i]  ` `            ``i ``+``=` `1` ` `  `    ``return` `max` `*` `min` ` `  `# Driver code  ` `arr1 ``=` `[``10``, ``2``, ``3``, ``6``, ``4``, ``1` `]  ` `arr2 ``=` `[``5``, ``1``, ``4``, ``2``, ``6``, ``9` `] ` `n1 ``=` `len``(arr1)  ` `n2 ``=` `len``(arr1)  ` `print``(minMaxProduct(arr1, arr2, n1, n2)) ` ` `  `# This code is contributed by Smitha `

## C#

 `// C# program to find the to  ` `// calculate the product of  ` `// max element of first array  ` `// and min element of second array ` `using` `System; ` ` `  `class` `GfG ` `{ ` ` `  `    ``// Function to calculate ` `    ``// the product ` `    ``public` `static` `int` `minMaxProduct(``int` `[]arr1,  ` `                                    ``int` `[]arr2,  ` `                                    ``int` `n1,  ` `                                    ``int` `n2) ` `    ``{ ` ` `  `        ``// Initialize max of ` `        ``// first array ` `        ``int` `max = arr1; ` ` `  `        ``// initialize min of  ` `        ``// second array ` `        ``int` `min = arr2; ` ` `  `        ``int` `i; ` `        ``for` `(i = 1; i < n1 && i < n2; ++i)  ` `        ``{ ` ` `  `            ``// To find the maximum element  ` `            ``// in first array ` `            ``if` `(arr1[i] > max) ` `                ``max = arr1[i]; ` `     `  `            ``// To find the minimum element ` `            ``// in second array ` `            ``if` `(arr2[i] < min) ` `                ``min = arr2[i]; ` `        ``} ` ` `  `        ``// Process remaining elements ` `        ``while` `(i < n1) ` `        ``{ ` `            ``if` `(arr1[i] > max) ` `            ``max = arr1[i];  ` `            ``i++; ` `        ``} ` `        ``while` `(i < n2) ` `        ``{ ` `            ``if` `(arr2[i] < min) ` `            ``min = arr2[i];  ` `            ``i++; ` `        ``} ` ` `  `        ``return` `max * min; ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``int` `[] arr1= ``new` `int` `[]{ 10, 2, 3,  ` `                                 ``6, 4, 1 }; ` `        ``int` `[] arr2 = ``new` `int` `[]{ 5, 1, 4,  ` `                                  ``2, 6, 9 }; ` `        ``int` `n1 = 6; ` `        ``int` `n2 = 6; ` `        ``Console.WriteLine(minMaxProduct(arr1, arr2,  ` `                                        ``n1, n2)); ` `    ``} ` `} ` ` `  `// This code is contributed by vt_m `

## PHP

 ` ``\$max``) ` `            ``\$max` `= ``\$arr1``[``\$i``]; ` ` `  `        ``// To find the minimum element ` `        ``// in second array ` `        ``if` `(``\$arr2``[``\$i``] < ``\$min``) ` `            ``\$min` `= ``\$arr2``[``\$i``]; ` `    ``} ` ` `  `    ``// Process remaining elements ` `    ``while` `(``\$i` `< ``\$n1``) ` `    ``{ ` `        ``if` `(``\$arr1``[``\$i``] > ``\$max``) ` `        ``\$max` `= ``\$arr1``[``\$i``];  ` `        ``\$i``++; ` `    ``} ` `    ``while` `(``\$i` `< ``\$n2``) ` `    ``{ ` `        ``if` `(``\$arr2``[``\$i``] < ``\$min``) ` `        ``\$min` `= ``\$arr2``[``\$i``];  ` `        ``\$i``++; ` `    ``} ` ` `  `    ``return` `\$max` `* ``\$min``; ` `} ` ` `  `    ``// Driven code ` `    ``\$arr1` `= ``array``(10, 2, 3,  ` `                  ``6, 4, 1); ` `    ``\$arr2` `= ``array``(5, 1, 4,  ` `                  ``2, 6, 9); ` `    ``\$n1` `= ``count``(``\$arr1``); ` `    ``\$n2` `= ``count``(``\$arr2``); ` `    ``echo` `minMaxProduct(``\$arr1``, ``\$arr2``,  ` `                       ``\$n1``, ``\$n2``); ` `     `  `// This code is contributed by anuj_67. ` `?> `

Output :

`10`

Time Complexity : O(n)
Space Complexity : O(1)

My Personal Notes arrow_drop_up Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Article Tags :
Practice Tags :

1

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.