# Count square submatrices with all ones

Here given code implementation process.

``````// C Program
// Count square submatrices with all ones

#include <stdio.h>

// Matrix size
#define R 4
#define C 6

// Returns the minimum value of given two numbers (integer)
int minimum(int a,int b)
{
if(a > b)
{
return b;
}
else
{
return a;
}

}

//count number of square submatrices with all 1s
void countSquareOnce(int matrix[R][C])
{

// Auxiliary matrix which is used to find and store all square matrix
int auxiliary[R][C];

// Loop controllong variables
int i = 0;
int j = 0;

int result = 0;

// Set first element of each rows
for (i = 0; i < R; ++i)
{
auxiliary[i] = matrix[i];
result += matrix[i];
}
// Set first element of each columns
for (j = 0; j < C; ++j)
{
auxiliary[j] = matrix[j];

result += matrix[j];
}

for (i = 1; i < R; ++i)
{

for (j = 1; j < C; ++j)
{

if(matrix[i][j]==1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i][j] =  minimum(minimum(auxiliary[i][j-1],auxiliary[i-1][j-1]), auxiliary[i-1][j])+1;
}
else
{
auxiliary[i][j] = matrix[i][j];
}

result += auxiliary[i][j];
}
}

printf("\n Total Square submatrix of 1's is : %d \n",result);

}

int main(int argc, char const *argv[])
{
// Define matrix of integer element which contains (0 and 1)
int matrix[R][C] =
{
{0,1,0,1,1,0},
{0,1,1,1,1,1},
{1,1,1,1,1,1},
{1,0,1,1,1,1}
};

countSquareOnce(matrix);

return 0;
}``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````/*
Java Program for
Count square submatrices with all ones
*/
class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
public int minimum(int a, int b)
{
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
public void countSquareOnce(int[][] matrix)
{
int row = matrix.length;
int col = matrix.length;
// Auxiliary matrix which is used to find and store all square matrix
int[][] auxiliary = new int[row][col];
// Loop controllong variables
int i = 0;
int j = 0;
int result = 0;
// Set first element of each rows
for (i = 0; i < row; ++i)
{
auxiliary[i] = matrix[i];
result += matrix[i];
}
// Set first element of each columns
for (j = 0; j < col; ++j)
{
auxiliary[j] = matrix[j];
result += matrix[j];
}
for (i = 1; i < row; ++i)
{
for (j = 1; j < col; ++j)
{
if (matrix[i][j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i][j] = minimum(minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1;
}
else
{
auxiliary[i][j] = matrix[i][j];
}
result += auxiliary[i][j];
}
}
System.out.print("\n Total Square submatrix of 1's is : " + result + " \n");
}
public static void main(String[] args)
{
SquareSubmatrix task = new SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
int[][] matrix =
{
{
0 , 1 , 0 , 1 , 1 , 0
},
{
0 , 1 , 1 , 1 , 1 , 1
},
{
1 , 1 , 1 , 1 , 1 , 1
},
{
1 , 0 , 1 , 1 , 1 , 1
}
};
}
}``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````// Include header file
#include <iostream>
// Matrix size
#define R 4
#define C 6

using namespace std;

/*
C++ Program for
Count square submatrices with all ones
*/

class SquareSubmatrix
{
public:
// Returns the minimum value of given two numbers (integer)
int minimum(int a, int b)
{
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
void countSquareOnce(int matrix[R][C])
{

// Auxiliary matrix which is used to find and store all square matrix
int auxiliary[R][C];
// Loop controllong variables
int i = 0;
int j = 0;
int result = 0;
// Set first element of each rows
for (i = 0; i < R; ++i)
{
auxiliary[i] = matrix[i];
result += matrix[i];
}
// Set first element of each columns
for (j = 0; j < C; ++j)
{
auxiliary[j] = matrix[j];
result += matrix[j];
}
for (i = 1; i < R; ++i)
{
for (j = 1; j < C; ++j)
{
if (matrix[i][j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i][j] = this->minimum(this->minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1;
}
else
{
auxiliary[i][j] = matrix[i][j];
}
result += auxiliary[i][j];
}
}
cout << "\n Total Square submatrix of 1's is : " << result << " \n";
}
};
int main()
{
SquareSubmatrix task = SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
int matrix[R][C] = {
{
0 , 1 , 0 , 1 , 1 , 0
} , {
0 , 1 , 1 , 1 , 1 , 1
} , {
1 , 1 , 1 , 1 , 1 , 1
} , {
1 , 0 , 1 , 1 , 1 , 1
}
};
return 0;
}``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````// Include namespace system
using System;
/*
C# Program for
Count square submatrices with all ones
*/
public class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
public int minimum(int a, int b)
{
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
public void countSquareOnce(int[,] matrix)
{
int row = matrix.GetLength(0);
int col = matrix.GetLength(1);
// Auxiliary matrix which is used to find and store all square matrix
int[,] auxiliary = new int[row,col];
// Loop controllong variables
int i = 0;
int j = 0;
int result = 0;
// Set first element of each rows
for (i = 0; i < row; ++i)
{
auxiliary[i,0] = matrix[i,0];
result += matrix[i,0];
}
// Set first element of each columns
for (j = 0; j < col; ++j)
{
auxiliary[0,j] = matrix[0,j];
result += matrix[0,j];
}
for (i = 1; i < row; ++i)
{
for (j = 1; j < col; ++j)
{
if (matrix[i,j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i,j] = minimum(minimum(auxiliary[i,j - 1], auxiliary[i - 1,j - 1]), auxiliary[i - 1,j]) + 1;
}
else
{
auxiliary[i,j] = matrix[i,j];
}
result += auxiliary[i,j];
}
}
Console.Write("\n Total Square submatrix of 1's is : " + result + " \n");
}
public static void Main(String[] args)
{
SquareSubmatrix task = new SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
int[,] matrix = {
{
0 , 1 , 0 , 1 , 1 , 0
} , {
0 , 1 , 1 , 1 , 1 , 1
} , {
1 , 1 , 1 , 1 , 1 , 1
} , {
1 , 0 , 1 , 1 , 1 , 1
}
};
}
}``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````<?php
/*
Php Program for
Count square submatrices with all ones
*/
class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
public	function minimum(\$a, \$b)
{
if (\$a > \$b)
{
return \$b;
}
else
{
return \$a;
}
}
//count number of square submatrices with all 1s
public	function countSquareOnce( & \$matrix)
{
\$row = count(\$matrix);
\$col = count(\$matrix);
// Auxiliary matrix which is used to find and store all square matrix
\$auxiliary = array_fill(0, \$row, array_fill(0, \$col, 0));
// Loop controllong variables
\$i = 0;
\$j = 0;
\$result = 0;
// Set first element of each rows
for (\$i = 0; \$i < \$row; ++\$i)
{
\$auxiliary[\$i] = \$matrix[\$i];
\$result += \$matrix[\$i];
}
// Set first element of each columns
for (\$j = 0; \$j < \$col; ++\$j)
{
\$auxiliary[\$j] = \$matrix[\$j];
\$result += \$matrix[\$j];
}
for (\$i = 1; \$i < \$row; ++\$i)
{
for (\$j = 1; \$j < \$col; ++\$j)
{
if (\$matrix[\$i][\$j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
\$auxiliary[\$i][\$j] = \$this->minimum(\$this->minimum(\$auxiliary[\$i][\$j - 1], \$auxiliary[\$i - 1][\$j - 1]), \$auxiliary[\$i - 1][\$j]) + 1;
}
else
{
\$auxiliary[\$i][\$j] = \$matrix[\$i][\$j];
}
\$result += \$auxiliary[\$i][\$j];
}
}
echo "\n Total Square submatrix of 1's is : ". \$result ." \n";
}
}

function main()
{
\$task = new SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
\$matrix = array(
array(0, 1, 0, 1, 1, 0),
array(0, 1, 1, 1, 1, 1),
array(1, 1, 1, 1, 1, 1),
array(1, 0, 1, 1, 1, 1)
);
}
main();``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````/*
Node Js Program for
Count square submatrices with all ones
*/
class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
minimum(a, b)
{
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
countSquareOnce(matrix)
{
var row = matrix.length;
var col = matrix.length;
// Auxiliary matrix which is used to find and store all square matrix
var auxiliary = Array(row).fill(0).map(() => new Array(col).fill(0));
// Loop controllong variables
var i = 0;
var j = 0;
var result = 0;
// Set first element of each rows
for (i = 0; i < row; ++i)
{
auxiliary[i] = matrix[i];
result += matrix[i];
}
// Set first element of each columns
for (j = 0; j < col; ++j)
{
auxiliary[j] = matrix[j];
result += matrix[j];
}
for (i = 1; i < row; ++i)
{
for (j = 1; j < col; ++j)
{
if (matrix[i][j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i][j] = this.minimum(this.minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1;
}
else
{
auxiliary[i][j] = matrix[i][j];
}
result += auxiliary[i][j];
}
}
process.stdout.write("\n Total Square submatrix of 1's is : " + result + " \n");
}
}

function main()
{
var task = new SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
var matrix = [
[0, 1, 0, 1, 1, 0] ,
[0, 1, 1, 1, 1, 1] ,
[1, 1, 1, 1, 1, 1] ,
[1, 0, 1, 1, 1, 1]
];
}
main();``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````#   Python 3 Program for
#   Count square submatrices with all ones

class SquareSubmatrix :
#  Returns the minimum value of given two numbers (integer)
def minimum(self, a, b) :
if (a > b) :
return b
else :
return a

# count number of square submatrices with all 1s
def countSquareOnce(self, matrix) :
row = len(matrix)
col = len(matrix)
#  Auxiliary matrix which is used to find and store all square matrix
auxiliary = [ * (col) for _ in range(row) ]
#  Loop controllong variables
i = 0
j = 0
result = 0
#  Set first element of each rows
while (i < row) :
auxiliary[i] = matrix[i]
result += matrix[i]
i += 1

#  Set first element of each columns
while (j < col) :
auxiliary[j] = matrix[j]
result += matrix[j]
j += 1

i = 1
while (i < row) :
j = 1
while (j < col) :
if (matrix[i][j] == 1) :
#
# Set x location value by minimum of side three elements (such as).
# x [this is current location]
# 	e2   e3
# 	  ╲   │
# 	   ╲  │
# 	    ╲ │
# 	e1‒‒‒ x

auxiliary[i][j] = self.minimum(self.minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1
else :
auxiliary[i][j] = matrix[i][j]

result += auxiliary[i][j]
j += 1

i += 1

print("\n Total Square submatrix of 1's is : ", result ," ")

def main() :
#  Define matrix of integer element which contains (0 and 1)
matrix = [
[0, 1, 0, 1, 1, 0] ,
[0, 1, 1, 1, 1, 1] ,
[1, 1, 1, 1, 1, 1] ,
[1, 0, 1, 1, 1, 1]
]

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

#### Output

`` Total Square submatrix of 1's is :  29``
``````#   Ruby Program for
#   Count square submatrices with all ones

class SquareSubmatrix
#  Returns the minimum value of given two numbers (integer)
def minimum(a, b)
if (a > b)
return b
else
return a
end

end

# count number of square submatrices with all 1s
def countSquareOnce(matrix)
row = matrix.length
col = matrix.length
#  Auxiliary matrix which is used to find and store all square matrix
auxiliary = Array.new(row) {Array.new(col) {0}}
#  Loop controllong variables
i = 0
j = 0
result = 0
#  Set first element of each rows
while (i < row)
auxiliary[i] = matrix[i]
result += matrix[i]
i += 1
end

#  Set first element of each columns
while (j < col)
auxiliary[j] = matrix[j]
result += matrix[j]
j += 1
end

i = 1
while (i < row)
j = 1
while (j < col)
if (matrix[i][j] == 1)
#
# Set x location value by minimum of side three elements (such as).
# x [this is current location]
# 	e2   e3
# 	  ╲   │
# 	   ╲  │
# 	    ╲ │
# 	e1‒‒‒ x

auxiliary[i][j] = self.minimum(self.minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1
else
auxiliary[i][j] = matrix[i][j]
end

result += auxiliary[i][j]
j += 1
end

i += 1
end

print("\n Total Square submatrix of 1's is : ", result ," \n")
end

end

def main()
#  Define matrix of integer element which contains (0 and 1)
matrix = [
[0, 1, 0, 1, 1, 0] ,
[0, 1, 1, 1, 1, 1] ,
[1, 1, 1, 1, 1, 1] ,
[1, 0, 1, 1, 1, 1]
]
end

main()``````

#### Output

`````` Total Square submatrix of 1's is : 29
``````
``````/*
Scala Program for
Count square submatrices with all ones
*/
class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
def minimum(a: Int, b: Int): Int = {
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
def countSquareOnce(matrix: Array[Array[Int]]): Unit = {
var row: Int = matrix.length;
var col: Int = matrix(0).length;
// Auxiliary matrix which is used to find and store all square matrix
var auxiliary: Array[Array[Int]] = Array.fill[Int](row, col)(0);
// Loop controllong variables
var i: Int = 0;
var j: Int = 0;
var result: Int = 0;
// Set first element of each rows
while (i < row)
{
auxiliary(i)(0) = matrix(i)(0);
result += matrix(i)(0);
i += 1;
}
// Set first element of each columns
while (j < col)
{
auxiliary(0)(j) = matrix(0)(j);
result += matrix(0)(j);
j += 1;
}
i = 1;
while (i < row)
{
j = 1;
while (j < col)
{
if (matrix(i)(j) == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary(i)(j) = this.minimum(this.minimum(auxiliary(i)(j - 1), auxiliary(i - 1)(j - 1)), auxiliary(i - 1)(j)) + 1;
}
else
{
auxiliary(i)(j) = matrix(i)(j);
}
result += auxiliary(i)(j);
j += 1;
}
i += 1;
}
print("\n Total Square submatrix of 1's is : " + result + " \n");
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: SquareSubmatrix = new SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
var matrix: Array[Array[Int]] = Array(
Array(0, 1, 0, 1, 1, 0),
Array(0, 1, 1, 1, 1, 1),
Array(1, 1, 1, 1, 1, 1),
Array(1, 0, 1, 1, 1, 1)
);
}
}``````

#### Output

`` Total Square submatrix of 1's is : 29``
``````/*
Swift 4 Program for
Count square submatrices with all ones
*/
class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
func minimum(_ a: Int, _ b: Int)->Int
{
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
func countSquareOnce(_ matrix: [
[Int]
])
{
let row: Int = matrix.count;
let col: Int = matrix.count;
// Auxiliary matrix which is used to find and store all square matrix
var auxiliary: [[Int]] = Array(repeating: Array(repeating: 0, count: col), count: row);
// Loop controllong variables
var i: Int = 0;
var j: Int = 0;
var result: Int = 0;
// Set first element of each rows
while (i < row)
{
auxiliary[i] = matrix[i];
result += matrix[i];
i += 1;
}
// Set first element of each columns
while (j < col)
{
auxiliary[j] = matrix[j];
result += matrix[j];
j += 1;
}
i = 1;
while (i < row)
{
j = 1;
while (j < col)
{
if (matrix[i][j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i][j] = self.minimum(self.minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1;
}
else
{
auxiliary[i][j] = matrix[i][j];
}
result += auxiliary[i][j];
j += 1;
}
i += 1;
}
print("\n Total Square submatrix of 1's is : ", result ," ");
}
}
func main()
{
let task: SquareSubmatrix = SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
let matrix: [[Int]] = [
[0, 1, 0, 1, 1, 0] ,
[0, 1, 1, 1, 1, 1] ,
[1, 1, 1, 1, 1, 1] ,
[1, 0, 1, 1, 1, 1]
];
}
main();``````

#### Output

`` Total Square submatrix of 1's is :  29``
``````/*
Kotlin Program for
Count square submatrices with all ones
*/
class SquareSubmatrix
{
// Returns the minimum value of given two numbers (integer)
fun minimum(a: Int, b: Int): Int
{
if (a > b)
{
return b;
}
else
{
return a;
}
}
//count number of square submatrices with all 1s
fun countSquareOnce(matrix: Array < Array < Int >> ): Unit
{
var row: Int = matrix.count();
var col: Int = matrix.count();
// Auxiliary matrix which count() used to find and store all square matrix
var auxiliary: Array < Array < Int >> = Array(row)
{
Array(col)
{
0
}
};
// Loop controllong variables
var i: Int = 0;
var j: Int = 0;
var result: Int = 0;
// Set first element of each rows
while (i < row)
{
auxiliary[i] = matrix[i];
result += matrix[i];
i += 1;
}
// Set first element of each columns
while (j < col)
{
auxiliary[j] = matrix[j];
result += matrix[j];
j += 1;
}
i = 1;
while (i < row)
{
j = 1;
while (j < col)
{
if (matrix[i][j] == 1)
{
/*
Set x location value by minimum of side three elements (such as).
x [this is current location]

e2   e3
╲   │
╲  │
╲ │
e1‒‒‒ x
*/
auxiliary[i][j] = this.minimum(this.minimum(auxiliary[i][j - 1], auxiliary[i - 1][j - 1]), auxiliary[i - 1][j]) + 1;
}
else
{
auxiliary[i][j] = matrix[i][j];
}
result += auxiliary[i][j];
j += 1;
}
i += 1;
}
print("\n Total Square submatrix of 1's is : " + result + " \n");
}
}
fun main(args: Array < String > ): Unit
{
var task: SquareSubmatrix = SquareSubmatrix();
// Define matrix of integer element which contains (0 and 1)
var matrix: Array <Array<Int>> = arrayOf(
arrayOf(0, 1, 0, 1, 1, 0),
arrayOf(0, 1, 1, 1, 1, 1),
arrayOf(1, 1, 1, 1, 1, 1),
arrayOf(1, 0, 1, 1, 1, 1)
);
}``````

#### Output

`` Total Square submatrix of 1's is : 29``

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