Adding the diagonal values in a 2d array
I have the following 2d array
int [][] array = {{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
{10, 11, 12, 13, 14, 15, 16, 17, 18, 19},
{20, 21, 22, 23, 24, 25, 26, 27, 28, 29},
{30, 31, 32, 33, 34, 35, 36, 37, 38, 39},
{40, 41, 42, 43, 44, 45, 46, 47, 48, 49},
{50, 51, 52, 53, 54, 开发者_如何转开发55, 56, 57, 58, 59},
{60, 61, 62, 63, 64, 65, 66, 67, 68, 69},
{70, 71, 72, 73, 74, 75, 76, 77, 78, 79},
{80, 81, 82, 83, 84, 85, 86, 87, 88, 89},
{90, 91, 92, 93, 94, 95, 96, 97, 98, 99}};
I have this code to find the sum of all the values in the array. How can I modify it to add only the diagonal values starting at 0 (0+11+22+33 etc.)?
public static int arraySum(int[][] array)
{
int total = 0;
for (int row = 0; row < array.length; row++)
{
for (int col = 0; col < array[row].length; col++)
total += array[row][col];
}
return total;
}
Since the diagonals are at perfect square you only need one loop to add the diagonals.
Adding diagonal from orgin:
public static int arraySum(int[][] array){
int total = 0;
for (int row = 0; row < array.length; row++)
{
total += array[row][row];
}
return total;
}
Add both diagonals:
Adding diagonal from orgin: (note it adds the center twice..you can subtract one if needed)
public static int arraySum(int[][] array){
int total = 0;
for (int row = 0; row < array.length; row++)
{
total += array[row][row] + array[row][array.length - row-1];
}
return total;
}
public static int arraySum(int[][] array)
{
int total = 0;
for (int index = 0; index < array.length; index++)
{
total += array[index][index];
}
return total;
}
This of course assumes m x m for the dimensions.
Here is my solution -
import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class Solution {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int n = in.nextInt();
int a[][] = new int[n][n];
for(int a_i=0; a_i < n; a_i++){
for(int a_j=0; a_j < n; a_j++){
a[a_i][a_j] = in.nextInt();
}
}
int l_sum = 0;
for(int i = 0; i<n ; i++){
l_sum+=a[i][i];
}
int r_sum = 0;
for(int j = 0; j<n ; j++){
r_sum+=a[j][n-1-j];
}
int sum = l_sum + r_sum;
System.out.println(sum);
}
}
import java.util.Scanner;
public class Solution {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int n = in.nextInt();
int leftStartDiagnol = 0;
int rightStartDiagnol = n;
int leftTotal = 0;
int rightTotal = 0;
int a[][] = new int[n][n];
for (int a_i = 0; a_i < n; a_i++) {
for (int a_j = 0; a_j < n; a_j++) {
a[a_i][a_j] = in.nextInt();
}
}
for (int a_i = 0; a_i < n; a_i++) {
boolean leftNotFound = true;
boolean rightNotFound = true;
rightStartDiagnol = --rightStartDiagnol;
for (int a_j = 0; a_j < n; a_j++) {
if (leftStartDiagnol == a_j && leftNotFound) {
leftTotal = leftTotal + a[a_i][a_j];
leftNotFound = false;
}
if (rightStartDiagnol == a_j && rightNotFound) {
rightTotal = rightTotal + a[a_i][a_j];
rightNotFound = false;
}
}
leftStartDiagnol = ++leftStartDiagnol;
}
int data = leftTotal - rightTotal;
System.out.println(Math.abs(data));
}
}
Here is my solution. Check out it.
import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class Solution {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int n = in.nextInt();
int a[][] = new int[n][n];
int total1=0;
int total2=0;
for(int a_i=0; a_i < n; a_i++){
for(int a_j=0; a_j < n; a_j++){
a[a_i][a_j] = in.nextInt();
}
total1+= a[a_i][a_i];
total2+=a[a_i][n-1-a_i];
}
System.out.println(Math.abs(total1-total2));
}
}
import java.io.*;
import java.util.*;
public class DigArraySum {
public static void main(String[] args) {
Scanner s=new Scanner(System.in);
int n=Integer.parseInt(s.nextLine()); //array size
int[][] a=new int[n][n]; // new array
for (int i=0;i<n;i++) {
String str=s.nextLine();
String[] tempArray=str.split(" ");
for (int j=0;j<n;j++) {
a[i][j]=Integer.parseInt(tempArray[j]);
}
}
int x=0;//primary diagonal sum
int y=0;//secondary diagonal sum
int sum=0;//total sum
for (int i=0;i<n;i++) {
x += a[i][i];
}
for (int p=0;p<n;p++) {
int k=a.length-p-1;
y+=a[p][a.length-p-1];
k+=-1;
}
sum=x-y;
System.out.println(Math.abs(sum));
}
}
Explanation: for example 3*3 matrix: 3// Array size
11 2 4
4 5 6
10 8 -12
The primary diagonal is: 11 5 -12
Sum across the primary diagonal: 11 + 5 - 12 = 4
The secondary diagonal is: 4 5 10 Sum across the secondary diagonal: 4 + 5 + 10 = 19
Total Sum: |4 + 19| = 23
Solution in PHP. The logic is exactly the same what is already posted here. It's only in PHP that's different.
<?php
$handle = fopen ("php://stdin", "r");
function diagonalDifference($a) {
$sumA = [];
$sumB = [];
$n = count($a);
for ($i = 0; $i < $n; $i++) {
for ($j = 0; $j < $n; $j++) {
if ($i === $j) {
$sumA[] = $a[$i][$j];
}
if ($i + $j == count($a) -1 ) {
$sumB[] = $a[$i][$j];
}
}
}
$sum1 = array_sum($sumA);
$sum2 = array_sum($sumB);
return abs($sum1 - $sum2);
}
fscanf($handle, "%i",$n);
$a = array();
for($a_i = 0; $a_i < $n; $a_i++) {
$a_temp = fgets($handle);
$a[] = explode(" ",$a_temp);
$a[$a_i] = array_map('intval', $a[$a_i]);
}
$result = diagonalDifference($a);
echo $result . "\n";
?>
The solution is:
int total = 0;
for (int row = 0; row < array.length; row++)
{
total += array[row][row] + array[row][array.length - row - 1];
}
System.out.println("FINAL ANSWER: " + total);
Here is the code which I did to find the sum of primary diagonal numbers and secondary diagonal numbers
static int diagSum(int[][] arr) {
int pd=0;
int sd=0;
int sum=0;
for(int i=0;i<=arr.length-1;i++){
pd=pd+arr[i][i];
}
for (int k=0,l=arr.length-1; k<arr.length&&l>=0 ; k++,l--) {
sd=sd+arr[k][l];
}
sum=pd+sd;
return sum;
}
difference between the sums of its diagonals in kotlin :
val total = (0 until array.size).sumBy { array[it][it] - array[it][array.size - it - 1] }
if you want absolute difference:
return Math.abs(total)
public class matrix {
public static void main(String[] args) {
int sum=0;
int a[][]= new int[][]{{2,3,4},{4,5,6},{5,5,5}};
for(int i=0;i<=2;i++)
{
sum=sum+a[i][i];
}
System.out.println(sum);
}
}
If you want to add both diagonal in a 2d array then here is my program.
static int diagonalDifference(int[][] arr) {
int r = arr.length;
int sum1 = 0;
int sum2 = 0;
int j=0;
for(int i=0;i<r;i++){
sum1 = sum1 + arr[i][j];
j++;
}
j--;
for(int i=0;i<r;i++) {
sum2 = sum2 + arr[i][j];
j--;
}
int sum=sum1+sum2;
return sum;
}
If you want to add both diagonal in a 2d array then here is a solution:
int j = row_col_size-1;
for (int i = 0; i < intArray.length; i++) {
sum_left += intArray[i][i];
sum_right += intArray[i][j];
j--;
}
Although this post is very old. Providing my solution. This might be useful for someone
func diagonalDifference(arr [][]int32) int32 {
return int32(math.Abs(float64(arraySumPrimary(arr)) - float64(arraySumSecondary(arr))) )
}
func arraySumPrimary(arr [][]int32) int32{
var total int32 =0
for row :=0; row < len(arr) ; row ++{
total = total + arr[row][row]
}
return total
}
func arraySumSecondary(arr [][]int32) int32{
var total int32 =0
x := len(arr)-1
y := 0
for x >=0 && y < len(arr){
total = total + arr[x][y]
x--
y++
}
return total
}
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