Attached is the full questions:
import java.util.*;
public class Lab8b
{
public static int[][] random(int N,int start,int end){
int[][] array = new int[N][N];
Random r= new Random();
for(int i=0;i<N;i++){
for(int j=0;j<N;j++){
int rand = r.nextInt(end-start) + start;
/* generate random number from start(inclusive) to end(exclusive)*/
array[i][j]=rand;
System.out.print(array[i][j]+" ");
}
System.out.println();
}
return array;
}
public static int rowSum(int[][] a,int i){
int answer=0;
//iterate over the row and calculate sum
for(int j=0;j<a[i].length;j++)
answer+=a[i][j];
return answer;
}
public static int colSum(int[][] a,int j){
int answer=0;
//iterate over the column and calculate sum
for(int i=0;i<a.length;i++)
answer+=a[i][j];
return answer;
}
public static boolean isSquare(int[][] a){
int rowlength=a[0].length;
//iterate over each row and check if number of columns are same
for(int i=0;i<a[0].length;i++){
if(a[i].length!=rowlength)
return false;
}
return true;
}
public static boolean isLatin(int[][] a){
if(!isSquare(a))return false;
HashSet<Integer> set=new HashSet();
//check rowwise first if the numbers are all distinct and in sequence
for(int i=0;i<a.length;i++){
//populate hashset the numbers between 1 and n
for(int c=1;c<=a.length;c++)
set.add(c);
/*remove from hashset and check if it empties the set
if yes the it is a latin row
else return false
*/
for(int j=0;j<a.length;j++){
if(!set.contains(a[i][j])) return false;
set.remove(a[i][j]);
}
if(set.size()!=0) return false;
}
//check columnwise first if the numbers are all distinct and in sequence
for(int i=0;i<a.length;i++){
//populate hashset the numbers between 1 and n
for(int c=1;c<=a.length;c++)
set.add(c);
/*remove from hashset and check if it empties the set
if yes the it is a latin column
else return false
*/
for(int j=0;j<a.length;j++){
if(!set.contains(a[j][i])) return false;
set.remove(a[j][i]);
}
if(set.size()!=0) return false;
}
return true;
}
public static void main(String[] args) {
int[][] ar= random(5 , 1 ,11);
System.out.println("Testing random array");
System.out.println("rowSum "+rowSum(ar,1)); //the indexing starts from 0
System.out.println("colSum "+colSum(ar,1)); //the indexing starts from 0
System.out.println("isSquare? " + isSquare(ar));
System.out.println("isLatin? " + isLatin(ar));
int[][] allNeg={{-10,-12,-3},{-4,-5,-6,-8},{-7,-8}};
int[][] nonSquare={{1,2,3},{4,5},{3,1,2}};
int[][] latin={{1,2,3},{2,3,1},{3,1,2}};
int[][] nonLatin={{2,1,3},{2,3,1},{3,1,2}};
System.out.println("Testing allNeg array");
System.out.println("rowSum "+rowSum(allNeg,1)); //the indexing starts from 0
System.out.println("colSum "+colSum(allNeg,1)); //the indexing starts from 0
System.out.println("isSquare? " + isSquare(allNeg));
System.out.println("isLatin? " + isLatin(allNeg));
System.out.println("Testing nonSquare array");
System.out.println("rowSum "+rowSum(nonSquare,1)); //the indexing starts from 0
System.out.println("colSum "+colSum(nonSquare,1)); //the indexing starts from 0
System.out.println("isSquare? " + isSquare(nonSquare));
System.out.println("isLatin? " + isLatin(nonSquare));
System.out.println("Testing latin array");
System.out.println("rowSum "+rowSum(latin,1)); //the indexing starts from 0
System.out.println("colSum "+colSum(latin,1)); //the indexing starts from 0
System.out.println("isSquare? " + isSquare(latin));
System.out.println("isLatin? " + isLatin(latin));
System.out.println("Testing nonlatin array");
System.out.println("rowSum "+rowSum(nonLatin,1)); //the indexing starts from 0
System.out.println("colSum "+colSum(nonLatin,1)); //the indexing starts from 0
System.out.println("isSquare? " + isSquare(nonLatin));
System.out.println("isLatin? " + isLatin(nonLatin));
}
}
PART 2
import java.util.*;
public class Main
{
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.println("Enter the number M (number of rows and columns for array) ");
int M=sc.nextInt(); //take input
int[][] ar= new int[M][M];
System.out.print("+"); //print starting border
for(int i=0;i<M;i++)
System.out.print("-+");
System.out.println();
for(int i=0;i<M;i++){ //start from 0
System.out.print("|"); //print starting pipe Character
for(int j=1;j<=M;j++){ //start from 1
if((i+j)%M==0) //if sum of i&j equals M print M, i.e. last number
System.out.print( M+"|");
else
System.out.print( (i+j)%M +"|");//else print rotated number
}
System.out.println();
}
System.out.print("+"); //print ending border
for(int i=0;i<M;i++)
System.out.print("-+");
System.out.println();
}
}
