# Pair with maximum difference in a matrix

Here given code implementation process.

``````// C Program
// Pair with maximum difference in a matrix
#include <stdio.h>
#include <limits.h>
#define R 5
#define C 4

// Displaying of the matrix elements
void printMatrix(int matrix[R][C])
{
// Outer loop through by rows
for (int i = 0; i < R; ++i)
{
// Inner loop through by columns
for (int j = 0; j < C; ++j)
{
// Display element value
printf("%d\t", matrix[i][j]);
}
printf("\n");
}
printf("\n");
}

int absoluteDiff(int a, int b)
{
int result = a - b;

if(result < 0)
{
return -result;
}
else
{
return result;
}
}

// Find  the pair with is difference sum
void maxDifference(int matrix[R][C])
{
int max = INT_MIN;
int min = INT_MAX;

// Outer loop through by rows
for (int i = 0; i < R; ++i)
{
// Inner loop through by columns
for (int j = 0; j < C; ++j)
{
if(max < matrix[i][j])
{
// Get new max element
max = matrix[i][j];
}
else if( min > matrix[i][j] )
{
// Get new min element
min = matrix[i][j];
}
}
}
// Display the calculated resultant pair
printf(" Maximum difference Pair (%d,%d) : %d \n",max,min,absoluteDiff(max , min));
}
int main(int argc, char const *argv[])
{
// Define matrix of an integer elements
int matrix[R][C] =
{
{2,   6,   9,  5 },
{3,   7,  15,  10 },
{1,    0,  6,  3 },
{-2,  -14,  4,  13 },
{11,   6,  12,  8 }
};
printMatrix(matrix);
maxDifference(matrix);
return 0;
}``````

#### Output

``````2	6	9	5
3	7	15	10
1	0	6	3
-2	-14	4	13
11	6	12	8

Maximum difference Pair (15,-14) : 29``````
``````/*
Java program
Pair with maximum difference in a matrix
*/
public class Pairs
{
// Displaying of the matrix elements
public void printMatrix(int[][] matrix, int r, int c)
{
// Outer loop through by rows
for (int i = 0; i < r; ++i)
{
// Inner loop through by columns
for (int j = 0; j < c; ++j)
{
// Display element value
System.out.print(" " + matrix[i][j] +"\t" );
}
System.out.print("\n");
}
System.out.print("\n");
}
public int absoluteDiff(int a, int b)
{
int result = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
public void maxDifference(int[][] matrix,int r, int c)
{
int max = Integer.MIN_VALUE;
int min = Integer.MAX_VALUE;
// Outer loop through by rows
for (int i = 0; i < r; ++i)
{
// Inner loop through by columns
for (int j = 0; j < c; ++j)
{
if (max < matrix[i][j])
{
// Get new max element
max = matrix[i][j];
}
else if (min > matrix[i][j])
{
// Get new min element
min = matrix[i][j];
}
}
}
// Display the calculated resultant pair
System.out.print(" Maximum difference Pair (" + max + "," + min + ") : " + absoluteDiff(max, min) + " \n");
}

public static void main(String[] args)
{
// Define matrix of an integer elements
int[][] matrix =
{
{2,    6,   9,  5 },
{3,    7,  15,  10 },
{1,    0,   6,  3 },
{-2,  -14,  4,  13 },
{11,   6,  12,  8 }
};
int r = matrix.length;
int c = matrix[0].length;
}
}
``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29``````
``````// Include header file
#include <iostream>
#include <limits.h>
#define R 5
#define C 4

using namespace std;
/*
C++ program
Pair with maximum difference in a matrix
*/
class Pairs
{
public:
// Displaying of the matrix elements
void printMatrix(int matrix[R][C])
{
// Outer loop through by rows
for (int i = 0; i < R; ++i)
{
// Inner loop through by columns
for (int j = 0; j < C; ++j)
{
// Display element value
cout << "" << matrix[i][j] << "\t";
}
cout << "\n";
}
cout << "\n";
}
int absoluteDiff(int a, int b)
{
int result = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
void maxDifference(int matrix[R][C])
{
int max = INT_MIN;
int min = INT_MAX;
// Outer loop through by rows
for (int i = 0; i < R; ++i)
{
// Inner loop through by columns
for (int j = 0; j < C; ++j)
{
if (max < matrix[i][j])
{
// Get new max element
max = matrix[i][j];
}
else if (min > matrix[i][j])
{
// Get new min element
min = matrix[i][j];
}
}
}
// Display the calculated resultant pair
cout << " Maximum difference Pair (" << max << "," << min << ") : " << this->absoluteDiff(max, min) << " \n";
}
};
int main()
{
// Define matrix of an integer elements
int matrix[R][C] =
{
{2,    6,   9,  5 },
{3,    7,  15,  10 },
{1,    0,   6,  3 },
{-2,  -14,  4,  13 },
{11,   6,  12,  8 }
};

return 0;
}``````

#### Output

``````2	6	9	5
3	7	15	10
1	0	6	3
-2	-14	4	13
11	6	12	8

Maximum difference Pair (15,-14) : 29``````
``````// Include namespace system
using System;
/*
C# program
Pair with maximum difference in a matrix
*/
public class Pairs
{
// Displaying of the matrix elements
public void printMatrix(int[,] matrix, int r, int c)
{
// Outer loop through by rows
for (int i = 0; i < r; ++i)
{
// Inner loop through by columns
for (int j = 0; j < c; ++j)
{
// Display element value
Console.Write(" " + matrix[i,j] + "\t");
}
Console.Write("\n");
}
Console.Write("\n");
}
public int absoluteDiff(int a, int b)
{
int result = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
public void maxDifference(int[,] matrix, int r, int c)
{
int max = int.MinValue;
int min = int.MaxValue;
// Outer loop through by rows
for (int i = 0; i < r; ++i)
{
// Inner loop through by columns
for (int j = 0; j < c; ++j)
{
if (max < matrix[i,j])
{
// Get new max element
max = matrix[i,j];
}
else if (min > matrix[i,j])
{
// Get new min element
min = matrix[i,j];
}
}
}
// Display the calculated resultant pair
Console.Write(" Maximum difference Pair (" + max + "," + min + ") : " + absoluteDiff(max, min) + " \n");
}
public static void Main(String[] args)
{
// Define matrix of an integer elements
int[,] matrix = {
{
2 , 6 , 9 , 5
} , {
3 , 7 , 15 , 10
} , {
1 , 0 , 6 , 3
} , {
-2 , -14 , 4 , 13
} , {
11 , 6 , 12 , 8
}
};
int r = matrix.GetLength(0);
int c = matrix.GetLength(1);
}
}``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29``````
``````<?php
/*
Php program
Pair with maximum difference in a matrix
*/
class Pairs
{
// Displaying of the matrix elements
public	function printMatrix( & \$matrix, \$r, \$c)
{
// Outer loop through by rows
for (\$i = 0; \$i < \$r; ++\$i)
{
// Inner loop through by columns
for (\$j = 0; \$j < \$c; ++\$j)
{
// Display element value
echo " ". \$matrix[\$i][\$j] ."\t";
}
echo "\n";
}
echo "\n";
}
public	function absoluteDiff(\$a, \$b)
{
\$result = \$a - \$b;
if (\$result < 0)
{
return -\$result;
}
else
{
return \$result;
}
}
// Find  the pair with is difference sum
public	function maxDifference( & \$matrix, \$r, \$c)
{
\$max = -PHP_INT_MAX;
\$min = PHP_INT_MAX;
// Outer loop through by rows
for (\$i = 0; \$i < \$r; ++\$i)
{
// Inner loop through by columns
for (\$j = 0; \$j < \$c; ++\$j)
{
if (\$max < \$matrix[\$i][\$j])
{
// Get new max element
\$max = \$matrix[\$i][\$j];
}
else if (\$min > \$matrix[\$i][\$j])
{
// Get new min element
\$min = \$matrix[\$i][\$j];
}
}
}
// Display the calculated resultant pair
echo " Maximum difference Pair (". \$max .",". \$min .") : ". \$this->absoluteDiff(\$max, \$min) ." \n";
}
}

function main()
{
// Define matrix of an integer elements
\$matrix = array(
array(2, 6, 9, 5),
array(3, 7, 15, 10),
array(1, 0, 6, 3),
array(-2, -14, 4, 13),
array(11, 6, 12, 8)
);
\$r = count(\$matrix);
\$c = count(\$matrix[0]);
}
main();``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29``````
``````/*
Node Js program
Pair with maximum difference in a matrix
*/
class Pairs
{
// Displaying of the matrix elements
printMatrix(matrix, r, c)
{
// Outer loop through by rows
for (var i = 0; i < r; ++i)
{
// Inner loop through by columns
for (var j = 0; j < c; ++j)
{
// Display element value
process.stdout.write(" " + matrix[i][j] + "\t");
}
process.stdout.write("\n");
}
process.stdout.write("\n");
}
absoluteDiff(a, b)
{
var result = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
maxDifference(matrix, r, c)
{
var max = -Number.MAX_VALUE;
var min = Number.MAX_VALUE;
// Outer loop through by rows
for (var i = 0; i < r; ++i)
{
// Inner loop through by columns
for (var j = 0; j < c; ++j)
{
if (max < matrix[i][j])
{
// Get new max element
max = matrix[i][j];
}
else if (min > matrix[i][j])
{
// Get new min element
min = matrix[i][j];
}
}
}
// Display the calculated resultant pair
process.stdout.write(" Maximum difference Pair (" + max + "," + min + ") : " + this.absoluteDiff(max, min) + " \n");
}
}

function main()
{
// Define matrix of an integer elements
var matrix = [
[2, 6, 9, 5] ,
[3, 7, 15, 10] ,
[1, 0, 6, 3] ,
[-2, -14, 4, 13] ,
[11, 6, 12, 8]
];
var r = matrix.length;
var c = matrix[0].length;
}
main();``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29``````
``````import sys

#   Python 3 program
#   Pair with maximum difference in a matrix

class Pairs :
#  Displaying of the matrix elements
def printMatrix(self, matrix, r, c) :
i = 0
#  Outer loop through by rows
while (i < r) :
j = 0
#  Inner loop through by columns
while (j < c) :
#  Display element value
print(matrix[i][j] , end = "\t")
j += 1

print(end = "\n")
i += 1

print(end = "\n")

def absoluteDiff(self, a, b) :
result = a - b
if (result < 0) :
return -result
else :
return result

#  Find  the pair with is difference sum
def maxDifference(self, matrix, r, c) :
max = -sys.maxsize
min = sys.maxsize
i = 0
#  Outer loop through by rows
while (i < r) :
j = 0
#  Inner loop through by columns
while (j < c) :
if (max < matrix[i][j]) :
#  Get new max element
max = matrix[i][j]

elif(min > matrix[i][j]) :
#  Get new min element
min = matrix[i][j]

j += 1

i += 1

#  Display the calculated resultant pair
print(" Maximum difference Pair (", max ,",", min ,") : ", self.absoluteDiff(max, min) ," ")

def main() :
#  Define matrix of an integer elements
matrix = [
[2, 6, 9, 5] ,
[3, 7, 15, 10] ,
[1, 0, 6, 3] ,
[-2, -14, 4, 13] ,
[11, 6, 12, 8]
]
r = len(matrix)
c = len(matrix[0])

if __name__ == "__main__": main()``````

#### Output

``````2	6	9	5
3	7	15	10
1	0	6	3
-2	-14	4	13
11	6	12	8

Maximum difference Pair ( 15 , -14 ) :  29``````
``````#   Ruby program
#   Pair with maximum difference in a matrix

class Pairs
#  Displaying of the matrix elements
def printMatrix(matrix, r, c)
i = 0
#  Outer loop through by rows
while (i < r)
j = 0
#  Inner loop through by columns
while (j < c)
#  Display element value
print(" ", matrix[i][j] ,"\t")
j += 1
end

print("\n")
i += 1
end

print("\n")
end

def absoluteDiff(a, b)
result = a - b
if (result < 0)
return -result
else
return result
end

end

#  Find  the pair with is difference sum
def maxDifference(matrix, r, c)
max = -(2 ** (0. size * 8 - 2))
min = (2 ** (0. size * 8 - 2))
i = 0
#  Outer loop through by rows
while (i < r)
j = 0
#  Inner loop through by columns
while (j < c)
if (max < matrix[i][j])
#  Get new max element
max = matrix[i][j]
elsif(min > matrix[i][j])
#  Get new min element
min = matrix[i][j]
end

j += 1
end

i += 1
end

#  Display the calculated resultant pair
print(" Maximum difference Pair (", max ,",", min ,") : ", self.absoluteDiff(max, min) ," \n")
end

end

def main()
#  Define matrix of an integer elements
matrix = [
[2, 6, 9, 5] ,
[3, 7, 15, 10] ,
[1, 0, 6, 3] ,
[-2, -14, 4, 13] ,
[11, 6, 12, 8]
]
r = matrix.length
c = matrix[0].length
end

main()``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29
``````
``````/*
Scala program
Pair with maximum difference in a matrix
*/
class Pairs
{
// Displaying of the matrix elements
def printMatrix(matrix: Array[Array[Int]], r: Int, c: Int): Unit = {
var i: Int = 0;
// Outer loop through by rows
while (i < r)
{
var j: Int = 0;
// Inner loop through by columns
while (j < c)
{
// Display element value
print(" " + matrix(i)(j) + "\t");
j += 1;
}
print("\n");
i += 1;
}
print("\n");
}
def absoluteDiff(a: Int, b: Int): Int = {
var result: Int = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
def maxDifference(matrix: Array[Array[Int]], r: Int, c: Int): Unit = {
var max: Int = Int.MinValue;
var min: Int = Int.MaxValue;
var i: Int = 0;
// Outer loop through by rows
while (i < r)
{
var j: Int = 0;
// Inner loop through by columns
while (j < c)
{
if (max < matrix(i)(j))
{
// Get new max element
max = matrix(i)(j);
}
else if (min > matrix(i)(j))
{
// Get new min element
min = matrix(i)(j);
}
j += 1;
}
i += 1;
}
// Display the calculated resultant pair
print(" Maximum difference Pair (" + max + "," + min + ") : " + this.absoluteDiff(max, min) + " \n");
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: Pairs = new Pairs();
// Define matrix of an integer elements
var matrix: Array[Array[Int]] = Array(
Array(2, 6, 9, 5),
Array(3, 7, 15, 10),
Array(1, 0, 6, 3),
Array(-2, -14, 4, 13),
Array(11, 6, 12, 8)
);
var r: Int = matrix.length;
var c: Int = matrix(0).length;
}
}``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29``````
``````/*
Swift 4 program
Pair with maximum difference in a matrix
*/
class Pairs
{
// Displaying of the matrix elements
func printMatrix(_ matrix: [[Int]], _ r: Int, _ c: Int)
{
var i: Int = 0;
// Outer loop through by rows
while (i < r)
{
var j: Int = 0;
// Inner loop through by columns
while (j < c)
{
// Display element value
print(matrix[i][j] , terminator: "\t");
j += 1;
}
print(terminator: "\n");
i += 1;
}
print(terminator: "\n");
}
func absoluteDiff(_ a: Int, _ b: Int)->Int
{
let result: Int = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
func maxDifference(_ matrix: [[Int]], _ r: Int, _ c: Int)
{
var max: Int = Int.min;
var min: Int = Int.max;
var i: Int = 0;
// Outer loop through by rows
while (i < r)
{
var j: Int = 0;
// Inner loop through by columns
while (j < c)
{
if (max < matrix[i][j])
{
// Get new max element
max = matrix[i][j];
}
else if (min > matrix[i][j])
{
// Get new min element
min = matrix[i][j];
}
j += 1;
}
i += 1;
}
// Display the calculated resultant pair
print(" Maximum difference Pair (", max ,",", min ,") : ", self.absoluteDiff(max, min) ," ");
}
}
func main()
{
// Define matrix of an integer elements
let matrix: [[Int]] = [
[2, 6, 9, 5] ,
[3, 7, 15, 10] ,
[1, 0, 6, 3] ,
[-2, -14, 4, 13] ,
[11, 6, 12, 8]
];
let r: Int = matrix.count;
let c: Int = matrix[0].count;
}
main();``````

#### Output

``````2	6	9	5
3	7	15	10
1	0	6	3
-2	-14	4	13
11	6	12	8

Maximum difference Pair ( 15 , -14 ) :  29``````
``````/*
Kotlin program
Pair with maximum difference in a matrix
*/
class Pairs
{
// Displaying of the matrix elements
fun printMatrix(matrix: Array <Array<Int>> , r: Int, c: Int): Unit
{
var i: Int = 0;
// Outer loop through by rows
while (i < r)
{
var j: Int = 0;
// Inner loop through by columns
while (j < c)
{
// Display element value
print(" " + matrix[i][j] + "\t");
j += 1;
}
print("\n");
i += 1;
}
print("\n");
}
fun absoluteDiff(a: Int, b: Int): Int
{
var result: Int = a - b;
if (result < 0)
{
return -result;
}
else
{
return result;
}
}
// Find  the pair with is difference sum
fun maxDifference(matrix: Array < Array < Int >> , r: Int, c: Int): Unit
{
var max: Int = Int.MIN_VALUE;
var min: Int = Int.MAX_VALUE;
var i: Int = 0;
// Outer loop through by rows
while (i < r)
{
var j: Int = 0;
// Inner loop through by columns
while (j < c)
{
if (max < matrix[i][j])
{
// Get new max element
max = matrix[i][j];
}
else if (min > matrix[i][j])
{
// Get new min element
min = matrix[i][j];
}
j += 1;
}
i += 1;
}
// Display the calculated resultant pair
print(" Maximum difference Pair (" + max + "," + min + ") : " + this.absoluteDiff(max, min) + " \n");
}
}
fun main(args: Array <String> ): Unit
{
// Define matrix of an integer elements
var matrix: Array <Array<Int >> = arrayOf(
arrayOf(2, 6, 9, 5),
arrayOf(3, 7, 15, 10),
arrayOf(1, 0, 6, 3),
arrayOf(-2, -14, 4, 13),
arrayOf(11, 6, 12, 8));
var r: Int = matrix.count();
var c: Int = matrix[0].count();
}``````

#### Output

`````` 2	 6	 9	 5
3	 7	 15	 10
1	 0	 6	 3
-2	 -14	 4	 13
11	 6	 12	 8

Maximum difference Pair (15,-14) : 29``````

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