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Prefix Sum of Matrix (Or 2D Array)

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Travinth Dayalaeaswaran answered on July 8, 2022 Popularity 8/10 Helpfulness 2/10

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Prefix Sum of Matrix (Or 2D Array)

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// C++ Program to find prefix sum of 2d array
#include <bits/stdc++.h>
using namespace std;
 
#define R 4
#define C 5
 
// calculating new array
void prefixSum2D(int a[][C])
{
    int psa[R][C];
    psa[0][0] = a[0][0];
 
    // Filling first row and first column
    for (int i = 1; i < C; i++)
        psa[0][i] = psa[0][i - 1] + a[0][i];
    for (int i = 1; i < R; i++)
        psa[i][0] = psa[i - 1][0] + a[i][0];
 
    // updating the values in the cells
    // as per the general formula
    for (int i = 1; i < R; i++) {
        for (int j = 1; j < C; j++)
 
            // values in the cells of new
            // array are updated
            psa[i][j] = psa[i - 1][j] + psa[i][j - 1]
                        - psa[i - 1][j - 1] + a[i][j];
    }
 
    // displaying the values of the new array
    for (int i = 0; i < R; i++) {
        for (int j = 0; j < C; j++)
            cout << psa[i][j] << " ";
        cout << "\n";
    }
}
 
// driver code
int main()
{
    int a[R][C] = { { 1, 1, 1, 1, 1 },
                    { 1, 1, 1, 1, 1 },
                    { 1, 1, 1, 1, 1 },
                    { 1, 1, 1, 1, 1 } };
 
    prefixSum2D(a);
 
    return 0;
}

Popularity 8/10 Helpfulness 2/10 Language cpp

Source: www.geeksforgeeks.org

Tags: 2d c c++ matrix prefix-sum

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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

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Prefix Sum of Matrix (Or 2D Array)

Comment

// Java program to find prefix sum of 2D array
import java.util.*;
 
class GFG {
 
    // calculating new array
    public static void prefixSum2D(int a[][])
    {
        int R = a.length;
        int C = a[0].length;
 
        int psa[][] = new int[R][C];
 
        psa[0][0] = a[0][0];
 
        // Filling first row and first column
        for (int i = 1; i < C; i++)
            psa[0][i] = psa[0][i - 1] + a[0][i];
        for (int i = 1; i < R; i++)
            psa[i][0] = psa[i - 1][0] + a[i][0];
 
        // updating the values in the
        // cells as per the general formula.
        for (int i = 1; i < R; i++)
            for (int j = 1; j < C; j++)
 
                // values in the cells of new array
                // are updated
                psa[i][j] = psa[i - 1][j] + psa[i][j - 1]
                            - psa[i - 1][j - 1] + a[i][j];
 
        for (int i = 0; i < R; i++) {
            for (int j = 0; j < C; j++)
                System.out.print(psa[i][j] + " ");
            System.out.println();
        }
    }
 
    // driver code
    public static void main(String[] args)
    {
        int a[][] = { { 1, 1, 1, 1, 1 },
                      { 1, 1, 1, 1, 1 },
                      { 1, 1, 1, 1, 1 },
                      { 1, 1, 1, 1, 1 } };
        prefixSum2D(a);
    }
}

Popularity 6/10 Helpfulness 1/10 Language java

Source: www.geeksforgeeks.org

Tags: 2d java matrix prefix-sum prefix

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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

Prefix Sum of Matrix (Or 2D Array)

Comment

# Python Program to find
# prefix sum of 2d array
R = 4
C = 5
 
# calculating new array
def prefixSum2D(a) :
    global C, R
    psa = [[0 for x in range(C)]
              for y in range(R)]
    psa[0][0] = a[0][0]
 
    # Filling first row
    # and first column
    for i in range(1, C) :
        psa[0][i] = (psa[0][i - 1] +
                       a[0][i])
    for i in range(0, R) :
        psa[i][0] = (psa[i - 1][0] +
                       a[i][0])
 
    # updating the values in
    # the cells as per the
    # general formula
    for i in range(1, R) :
        for j in range(1, C) :
 
            # values in the cells of
            # new array are updated
            psa[i][j] = (psa[i - 1][j] +
                         psa[i][j - 1] -
                         psa[i - 1][j - 1] +
                           a[i][j])
 
    # displaying the values
    # of the new array
    for i in range(0, R) :
        for j in range(0, C) :
            print (psa[i][j],
                   end = " ")
        print ()
 
# Driver Code
a = [[ 1, 1, 1, 1, 1 ],
     [ 1, 1, 1, 1, 1 ],
     [ 1, 1, 1, 1, 1 ],
     [ 1, 1, 1, 1, 1 ]]
 
prefixSum2D(a)
 
# This code is contributed by
# Manish Shaw(manishshaw1)

Popularity 5/10 Helpfulness 1/10 Language python

Source: www.geeksforgeeks.org

Tags: 2d matrix prefix-sum python

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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

Prefix Sum of Matrix (Or 2D Array)

Comment

// C# program to find prefix
// sum of 2D array
using System;
 
class GFG
{
 
    // calculating new array
    static void prefixSum2D(int [,]a)
    {
        int R = a.GetLength(0);
        int C = a.GetLength(1);
 
        int [,]psa = new int[R, C];
 
        psa[0, 0] = a[0, 0];
 
        // Filling first row
        // and first column
        for (int i = 1; i < C; i++)
            psa[0, i] = psa[0, i - 1] +
                               a[0, i];
        for (int i = 1; i < R; i++)
            psa[i, 0] = psa[i - 1, 0] +
                               a[i, 0];
  
        // updating the values in the
        // cells as per the general formula.
        for (int i = 1; i < R; i++)
            for (int j = 1; j < C; j++)
 
                // values in the cells of
                // new array are updated
                psa[i, j] = psa[i - 1, j] +
                            psa[i, j - 1] -
                            psa[i - 1, j - 1] +
                            a[i, j];
 
        for (int i = 0; i < R; i++)
        {
            for (int j = 0; j < C; j++)
                Console.Write(psa[i, j] + " ");
            Console.WriteLine();
        }
    }
 
    // Driver Code
    static void Main()
    {
        int [,]a = new int[,]{{1, 1, 1, 1, 1},
                              {1, 1, 1, 1, 1},
                              {1, 1, 1, 1, 1},
                              {1, 1, 1, 1, 1}};
        prefixSum2D(a);
    }
}
 
// This code is contributed by manishshaw1

Popularity 6/10 Helpfulness 1/10 Language csharp

Source: www.geeksforgeeks.org

Tags: 2d c# matrix prefix-sum pr

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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

Prefix Sum of Matrix (Or 2D Array)

Comment

<?php
// PHP Program to find
// prefix sum of 2d array
$R = 4;
$C = 5;
 
// calculating new array
function prefixSum2D($a)
{
    global $C, $R;
    $psa = array();
    $psa[0][0] = $a[0][0];
 
    // Filling first row
    // and first column
    for ($i = 1; $i < $C; $i++)
        $psa[0][$i] = $psa[0][$i - 1] +
                             $a[0][$i];
    for ($i = 0; $i < $R; $i++)
        $psa[$i][0] = $psa[$i - 1][0] +
                             $a[$i][0];
 
    // updating the values in
    // the cells as per the
    // general formula
    for ($i = 1; $i < $R; $i++)
    {
        for ($j = 1; $j < $C; $j++)
 
            // values in the cells of
            // new array are updated
            $psa[$i][$j] = $psa[$i - 1][$j] +
                           $psa[$i][$j - 1] -
                           $psa[$i - 1][$j - 1] +
                           $a[$i][$j];
    }
 
    // displaying the values
    // of the new array
    for ($i = 0; $i < $R; $i++)
    {
        for ($j = 0; $j < $C; $j++)
            echo ($psa[$i][$j]. " ");
        echo ("\n");
    }
}
 
// Driver Code
$a = array(array( 1, 1, 1, 1, 1 ),
           array( 1, 1, 1, 1, 1 ),
           array( 1, 1, 1, 1, 1 ),
           array( 1, 1, 1, 1, 1 ));
 
prefixSum2D($a);
 
// This code is contributed by
// Manish Shaw(manishshaw1)
?>

Popularity 6/10 Helpfulness 1/10 Language php

Source: www.geeksforgeeks.org

Tags: 2d matrix php prefix-sum

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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

Prefix Sum of Matrix (Or 2D Array)

Comment

<script>
// Javascript program to find prefix sum of 2D array
 
// calculating new array
function prefixSum2D(a)
{
    let R = a.length;
        let C = a[0].length;
  
        let psa = new Array(R);
        for(let i = 0; i < R; i++)
        {
            psa[i] = new Array(C);
            for(let j = 0; j < C; j++)
                psa[i][j] = 0;
        }   
  
        psa[0][0] = a[0][0];
  
        // Filling first row and first column
        for (let i = 1; i < C; i++)
            psa[0][i] = psa[0][i - 1] + a[0][i];
        for (let i = 1; i < R; i++)
            psa[i][0] = psa[i - 1][0] + a[i][0];
  
        // updating the values in the
        // cells as per the general formula.
        for (let i = 1; i < R; i++)
            for (let j = 1; j < C; j++)
  
                // values in the cells of new array
                // are updated
                psa[i][j] = psa[i - 1][j] + psa[i][j - 1]
                            - psa[i - 1][j - 1] + a[i][j];
  
        for (let i = 0; i < R; i++) {
            for (let j = 0; j < C; j++)
                document.write(psa[i][j] + " ");
            document.write("<br>");
        }
}
 
// driver code
let a=[[ 1, 1, 1, 1, 1 ],
                      [ 1, 1, 1, 1, 1 ],
                      [ 1, 1, 1, 1, 1 ],
                      [ 1, 1, 1, 1, 1 ]];
prefixSum2D(a);
 
// This code is contributed by avanitrachhadiya2155
</script>

Popularity 5/10 Helpfulness 1/10 Language javascript

Source: www.geeksforgeeks.org

Tags: 2d javascript matrix prefix-sum

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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

python Prefix Sum of Matrix (Or 2D Array)

Comment

# Python Program to find
# prefix sum of 2d array
R = 4
C = 5
 
# calculating new array
def prefixSum2D(a) :
    global C, R
    psa = [[0 for x in range(C)]
              for y in range(R)]
    psa[0][0] = a[0][0]
 
    # Filling first row
    # and first column
    for i in range(1, C) :
        psa[0][i] = (psa[0][i - 1] +
                       a[0][i])
    for i in range(0, R) :
        psa[i][0] = (psa[i - 1][0] +
                       a[i][0])
 
    # updating the values in
    # the cells as per the
    # general formula
    for i in range(1, R) :
        for j in range(1, C) :
 
            # values in the cells of
            # new array are updated
            psa[i][j] = (psa[i - 1][j] +
                         psa[i][j - 1] -
                         psa[i - 1][j - 1] +
                           a[i][j])
 
    # displaying the values
    # of the new array
    for i in range(0, R) :
        for j in range(0, C) :
            print (psa[i][j],
                   end = " ")
        print ()
 
# Driver Code
a = [[ 1, 1, 1, 1, 1 ],
     [ 1, 1, 1, 1, 1 ],
     [ 1, 1, 1, 1, 1 ],
     [ 1, 1, 1, 1, 1 ]]
 
prefixSum2D(a)

Popularity 4/10 Helpfulness 1/10 Language python

Source: www.geeksforgeeks.org

Tags: 2d matrix prefix-sum python

Link to this answer
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Contributed on Jul 08 2022

Travinth Dayalaeaswaran

0 Answers Avg Quality 2/10

Prefix Sum of Matrix (Or 2D Array)

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Prefix Sum of Matrix (Or 2D Array)

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Prefix Sum of Matrix (Or 2D Array)

Prefix Sum of Matrix (Or 2D Array)

Prefix Sum of Matrix (Or 2D Array)

Prefix Sum of Matrix (Or 2D Array)

Prefix Sum of Matrix (Or 2D Array)

python Prefix Sum of Matrix (Or 2D Array)

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