Dado un número N, coloque los números del rango [1, N 2 ] en una array NxN tal que la suma en cada fila sea igual.
Ejemplos:
C++
// C++ program to distribute n^2 numbers
// to n people
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> solve(vector<vector<int>> arr,
int n)
{
// 2D array for storing the final result
vector<vector<int>> ans(n, vector<int> (n, 0));
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
// Using modulo to go to the firs
// column after the last column
ans[i][j] = arr[j][(i + j) % n];
}
}
return ans;
}
void show(vector<vector<int>> arr, int n)
{
vector<vector<int>> res = solve(arr, n);
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
cout << res[i][j] << " ";
}
cout << endl;
}
}
// Making a 2D array containing numbers
vector<vector<int>> makeArray(int n)
{
vector<vector<int>> arr(n, vector<int>(n, 0));
int c = 1;
for (int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
arr[i][j] = c;
c++;
}
}
return arr;
}
// Driver code
int main()
{
int n = 5;
vector<vector<int>> arr = makeArray(n);
show(arr, n);
return 0;
}
// This code is contributed by divyesh072019
Java
// Java program to distribute n^2 numbers to n people
public class Numbers {
public static int[][] solve(int[][] arr, int n)
{
// 2D array for storing the final result
int[][] ans = new int[n][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
// using modulo to go to the firs
// column after the last column
ans[i][j] = arr[j][(i + j) % n];
}
}
return ans;
}
public static void show(int[][] arr, int n)
{
int[][] res = solve(arr, n);
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
System.out.print(res[i][j] + " ");
}
System.out.println();
}
}
// making a 2D array containing numbers
public static int[][] makeArray(int n)
{
int[][] arr = new int[n][n];
int c = 1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++)
arr[i][j] = c++;
}
return arr;
}
// Driver Code
public static void main(String[] args)
{
int n = 5;
int[][] arr = makeArray(n);
show(arr, n);
}
}
Python3
# Python3 program to distribute n^2 # numbers to n people def solve(arr, n): # 2D array for storing the final result ans = [[0 for i in range(n)] for j in range(n)] for i in range(n): for j in range(n): # Using modulo to go to the firs # column after the last column ans[i][j] = arr[j][(i + j) % n] return ans def show(arr, n): res = solve(arr, n) for i in range(n): for j in range(n): print(res[i][j], end = " ") print() # Making a 2D array containing numbers def makeArray(n): arr = [[0 for i in range(n)] for j in range(n)] c = 1 for i in range(n): for j in range(n): arr[i][j] = c c += 1 return arr # Driver Code n = 5 arr = makeArray(n) show(arr, n) # This code is contributed by avanitrachhadiya2155
C#
// C# program to distribute n^2
// numbers to n people
using System;
class GFG{
static int[,] solve(int[,] arr, int n)
{
// 2D array for storing the final result
int[,] ans = new int[n, n];
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
// Using modulo to go to the firs
// column after the last column
ans[i, j] = arr[j, (i + j) % n];
}
}
return ans;
}
static void show(int[,] arr, int n)
{
int[,] res = solve(arr, n);
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
Console.Write(res[i, j] + " ");
}
Console.WriteLine();
}
}
// Making a 2D array containing numbers
static int[,] makeArray(int n)
{
int[,] arr = new int[n, n];
int c = 1;
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
arr[i, j] = c++;
}
return arr;
}
// Driver code
static void Main()
{
int n = 5;
int[,] arr = makeArray(n);
show(arr, n);
}
}
// This code is contributed by divyeshrabadiya07
Javascript
<script>
// Javascript program to distribute n^2 numbers to n people
function solve(arr, n)
{
// 2D array for storing the final result
let ans = new Array(n);
// Loop to create 2D array using 1D array
for (var i = 0; i < ans.length; i++) {
ans[i] = new Array(2);
}
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
// using modulo to go to the firs
// column after the last column
ans[i][j] = arr[j][(i + j) % n];
}
}
return ans;
}
function show(arr, n)
{
let res = solve(arr, n);
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
document.write(res[i][j] + " ");
}
document.write("<br/>");
}
}
// making a 2D array containing numbers
function makeArray(n)
{
let arr = new Array(n);
// Loop to create 2D array using 1D array
for (var i = 0; i < arr.length; i++) {
arr[i] = new Array(2);
}
let c = 1;
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++)
arr[i][j] = c++;
}
return arr;
}
// driver program
let n = 5;
let arr = makeArray(n);
show(arr, n);
// This code is contributed by susmitakundugoaldanga.
</script>