Reputation: 43
Given the number n, not exceeding 10, and a matrix of size n × n. Check whether this matrix is symmetric in relation to the main diagonal. Output the word “YES”, if it is symmetric and the word “NO” otherwise.
This is my code, it unfortunately does not work. Please, explain to me how to do it correctly :)
public class Main { public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int n= scanner.nextInt();
int[][] number = new int[n][n];
boolean ismatch = false;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
number[i][j] = scanner.nextInt();
}
}
int unevenchecker = (n% 2);
if (unevenchecker != 0) {
for (int k = 0; k < number.length - 1; k++) {
for (int l = 0; l < number.length - 1; l++) {
if (number[k][l] == number[l][k]) {
ismatch = true;
}
}
}
if (ismatch) {
System.out.print("YES");
}
} else {
System.out.print("NO");
}
}
}
Upvotes: 0
Views: 1666
Reputation: 387
public class Main {
static boolean isSymmetric(int mat[][], int size) {
for (int i = 0; i < size; i++)
for (int j = i + 1; j < size - i; j++)
if (mat[i][j] != mat[j][i])
return false;
return true;
}
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int n= scanner.nextInt();
int[][] number = new int[n][n];
boolean ismatch = false;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
number[i][j] = scanner.nextInt();
}
}
if (isSymmetric(number, n)) {
System.out.print("YES");
} else {
System.out.print("NO");
}
}
}
Notice that the nested loop into isSymmetric
starts from j = i + 1
, for not checking twice same condition.
Upvotes: 0
Reputation: 164194
The matrix is not symmetric if you find at least 1 symmetric couple where the 2 parts are not equal, so instead of checking for equality inside the loop, check for inequality:
ismatch = true;
for (int k = 0; k < number.length - 1; k++) {
for (int l = 0; l < number.length - 1; l++) {
if (number[k][l] != number[l][k]) {
ismatch = false;
break;
}
}
}
Upvotes: 1