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package magic_cube;
import java.util.Arrays;
import java.util.List;
import java.util.ListIterator;
import java.util.Scanner;
public class main {
public static void main(String args[]) {
Scanner in = new Scanner(System.in);
System.out.print("Vvedite: N = ");
int n = in.nextInt();
int[][] array = new int[2 * n - 1][2 * n - 1];
if (n % 2 != 0)
oddN(array, n);
else if (n % 4 == 0)
multipleFour(array, n);
else
evenN(array, n);
System.out.print("Summary of elements magical cube: " + (Math.pow(n,3) + n) / 2);
}
static int[][] oddN(int[][] src, int size) {
int ss, nn, i, j, x, y;
if (size % 2 != 0) {
ss = ((size - 1) / 2);
nn = 1;
for (i = 0; i < size; i++)
for (j = 0; j < size; j++) {
x = (-ss + i + j + size) % size;
y = (ss + i - j + size) % size;
src[x][y] = nn++;
// nn++;
}
for (i = 0; i < size; i++) {
for (j = 0; j < size; j++)
System.out.print(src[i][j] + " ");
System.out.println();
}
}
return src;
}
static int[][] multipleFour(int[][] src, int size){
int[][] lhs = new int[size][size];
int[][] rhs = new int[size][size];
int ecx = 0, tmp = size, cnt = 0, z = 1, x = 0, c = size / 4; //counter
System.out.println("First square: ");
while (c != 0) { //first matrix, first middle
for (int i = 1; i <= size; i++) {
lhs[ecx][cnt] = i;
cnt++;
lhs[z][x] = tmp;
x++;
tmp--;
}
tmp = size;
ecx+=2;
System.out.println("ecx = " + ecx + "cnt = " + cnt + "z = " + z + "x = " + x);
z+=2;
cnt = 0;
x = 0;
c--;
}
c = size / 4;
while (c != 0) { //first matrix, second middle
for (int i = 1; i <= size; i++) {
lhs[ecx][cnt] = tmp;
cnt++;
lhs[z][x] = i;
x++;
tmp--;
}
tmp = size;
ecx+=2;
System.out.println("ecx = " + ecx + "cnt = " + cnt + "z = " + z + "x = " + x);
z+=2;
cnt = 0;
x = 0;
c--;
}
//secret formula = pow(n,2) - size => max element int second matrix
int secretKey = (int)Math.pow(size, 2) - size; //our key to get maximal element in IMagic cube
int tmp_rhs = (int)Math.pow(size, 2) - size; //temp key for addition
//upd
ecx = 0;
cnt = 1;
z = 1;
int it = 0; //iteration
c = size / 4;
///
while (c != 0) { //second matrix first middle
for (int i = 0; i < size - 1; i++) {
rhs[cnt][ecx] += size + it;
it += size;
secretKey -= size;
rhs[cnt - 1][z] = secretKey;
cnt++;
}
z+=2;
it = 0;
secretKey = tmp_rhs;
cnt = 1;
ecx +=2;
c--;
}
///
c = size / 4;
while (c != 0) { //second matrix second middle
for (int i = 0; i < size - 1; i++) {
rhs[cnt-1][ecx] = secretKey;
rhs[cnt][z] += size + it;
it += size;
secretKey -= size;
cnt++;
}
z+=2;
it = 0;
secretKey = tmp_rhs;
cnt = 1;
ecx +=2;
c--;
}
///
System.out.println("First matrix: ");
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++)
System.out.printf("%4d",lhs[i][j]);
System.out.println();
}
System.out.println("Second matrix: ");
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++)
System.out.printf("%4d", rhs[i][j]);
System.out.println();
}
//add
for (int i = 0; i < size; i++){
for (int j = 0; j < size; j++)
lhs[i][j] += rhs[i][j];
}
System.out.println("IMagic matrix: ");
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++)
System.out.printf("%4d",lhs[i][j]);
System.out.println();
}
return src;
}
static int[][] evenN(int[][] src, int size){
int[][] square = new int[size][size];
int[][] tmp = oddN(src, size / 2);
List<Integer> list = Arrays.asList(0,0, size /2, size / 2, 0, size / 2, size / 2, 0);
ListIterator<Integer> it = list.listIterator();
int i0, j0, n = 0;
while (it.hasNext()) {
i0 = it.next();
j0 = it.next();
for (int z = 0; z < size / 2; ++z)
for (int x = 0; x < size / 2; ++x)
//System.out.print("i0 = " + i0 + "j0 = " + j0 + "\r\n");
square[z + i0][x + j0] = tmp[z][x] + n * (int) Math.pow((size / 2), 2);
n++;
}
int tmp1 = square[0][0], tmp2 = square[size / 2 - 1][0]; //temp variable for save state
square[0][0] = square[size / 2][0]; //error tut, check python equals inline
square[size / 2][0] = tmp1;
square[size / 2 - 1][0] = square[size - 1][0];
square[size - 1][0] = tmp2;
for (int z = 1; z < size / 2 - 1; ++z) { // python implementation : for i in range(1, size / 2 - 1): check parameters of func rand '1'
tmp1 = square[z][1];
square[z][1] = square[z + size / 2][1];
square[z+size/2][1] = tmp1;
}
if (size > 6)
for (int z = size / 2 - (size / 2 - 3) / 2; z < size / 2 + (size / 2 - 3) / 2; z++)
for (int x = 0; x < size / 2; x++) {
tmp1 = square[x][z];
square[x][z] = square[size / 2 + x][z];
square[size / 2 + x][z] = tmp1;
}
for (int z = 0; z < size; z++) {
for (int x = 0; x < size; x++)
System.out.printf("%4d", square[z][x]);
System.out.print("\r\n");
}
return src;
}
}