// 行・列平滑化1回 import java.util.Arrays; public class Main { public static final int MOD998 = 998244353; public static final int MOD100 = 1000000007; public static void main(String[] args) throws Exception { ContestScanner sc = new ContestScanner(); ContestPrinter cp = new ContestPrinter(); int T = sc.nextInt(); for (int t = 0; t < T; t++) { int N = sc.nextInt(); int[] A = sc.nextIntArray((N - 1) * (N - 1)); Arrays.sort(A); int[][] ans = new int[N][N]; for (int i = 0; i < N - 1; i++) { for (int j = 0; j < N - 1; j++) { ans[i + 1][j + 1] = A[i * (N - 1) + j] - (ans[i + 1][j] + ans[i][j] + ans[i][j + 1]); } } for (int step = 0; step < 1; step++) { for (int i = 0; i < N; i++) { int min1 = 10000000; int min2 = 10000000; for (int j = 0; j < N; j++) { if (j % 2 == 0) { min1 = Math.min(ans[i][j], min1); } else { min2 = Math.min(ans[i][j], min2); } } int mid = (min1 + min2) / 2; for (int j = 0; j < N; j++) { if (j % 2 == 0) { ans[i][j] += (mid - min1); } else { ans[i][j] -= (mid - min1); } } } for (int i = 0; i < N; i++) { int min1 = 10000000; int min2 = 10000000; for (int j = 0; j < N; j++) { if (j % 2 == 0) { min1 = Math.min(ans[j][i], min1); } else { min2 = Math.min(ans[j][i], min2); } } int mid = (min1 + min2) / 2; for (int j = 0; j < N; j++) { if (j % 2 == 0) { ans[j][i] += (mid - min1); } else { ans[j][i] -= (mid - min1); } } } } for (int n = 0; n < N; n++) { for (int m = 0; m < N; m++) { cp.print(ans[n][m]); if (m < N - 1) { cp.print(" "); } else { cp.print("\n"); } } } } cp.close(); } static class ContestScanner { private final java.io.InputStream in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; private static final long LONG_MAX_TENTHS = 922337203685477580L; private static final int LONG_MAX_LAST_DIGIT = 7; private static final int LONG_MIN_LAST_DIGIT = 8; public ContestScanner(java.io.InputStream in) { this.in = in; } public ContestScanner() { this(System.in); } private boolean hasNextByte() { if (ptr < buflen) { return true; } else { ptr = 0; try { buflen = in.read(buffer); } catch (java.io.IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1; } private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126; } public boolean hasNext() { while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte(); } public String next() { if (!hasNext()) throw new java.util.NoSuchElementException(); StringBuilder sb = new StringBuilder(); int b = readByte(); while (isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) throw new java.util.NoSuchElementException(); long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } if (b < '0' || '9' < b) { throw new NumberFormatException(); } while (true) { if ('0' <= b && b <= '9') { int digit = b - '0'; if (n >= LONG_MAX_TENTHS) { if (n == LONG_MAX_TENTHS) { if (minus) { if (digit <= LONG_MIN_LAST_DIGIT) { n = -n * 10 - digit; b = readByte(); if (!isPrintableChar(b)) { return n; } else if (b < '0' || '9' < b) { throw new NumberFormatException( String.format("%d%s... is not number", n, Character.toString(b))); } } } else { if (digit <= LONG_MAX_LAST_DIGIT) { n = n * 10 + digit; b = readByte(); if (!isPrintableChar(b)) { return n; } else if (b < '0' || '9' < b) { throw new NumberFormatException( String.format("%d%s... is not number", n, Character.toString(b))); } } } } throw new ArithmeticException( String.format("%s%d%d... overflows long.", minus ? "-" : "", n, digit)); } n = n * 10 + digit; } else if (b == -1 || !isPrintableChar(b)) { return minus ? -n : n; } else { throw new NumberFormatException(); } b = readByte(); } } public int nextInt() { long nl = nextLong(); if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException(); return (int) nl; } public double nextDouble() { return Double.parseDouble(next()); } public long[] nextLongArray(int length) { long[] array = new long[length]; for (int i = 0; i < length; i++) array[i] = this.nextLong(); return array; } public long[] nextLongArray(int length, java.util.function.LongUnaryOperator map) { long[] array = new long[length]; for (int i = 0; i < length; i++) array[i] = map.applyAsLong(this.nextLong()); return array; } public int[] nextIntArray(int length) { int[] array = new int[length]; for (int i = 0; i < length; i++) array[i] = this.nextInt(); return array; } public int[][] nextIntArrayMulti(int length, int width) { int[][] arrays = new int[width][length]; for (int i = 0; i < length; i++) { for (int j = 0; j < width; j++) arrays[j][i] = this.nextInt(); } return arrays; } public int[] nextIntArray(int length, java.util.function.IntUnaryOperator map) { int[] array = new int[length]; for (int i = 0; i < length; i++) array[i] = map.applyAsInt(this.nextInt()); return array; } public double[] nextDoubleArray(int length) { double[] array = new double[length]; for (int i = 0; i < length; i++) array[i] = this.nextDouble(); return array; } public double[] nextDoubleArray(int length, java.util.function.DoubleUnaryOperator map) { double[] array = new double[length]; for (int i = 0; i < length; i++) array[i] = map.applyAsDouble(this.nextDouble()); return array; } public long[][] nextLongMatrix(int height, int width) { long[][] mat = new long[height][width]; for (int h = 0; h < height; h++) for (int w = 0; w < width; w++) { mat[h][w] = this.nextLong(); } return mat; } public int[][] nextIntMatrix(int height, int width) { int[][] mat = new int[height][width]; for (int h = 0; h < height; h++) for (int w = 0; w < width; w++) { mat[h][w] = this.nextInt(); } return mat; } public double[][] nextDoubleMatrix(int height, int width) { double[][] mat = new double[height][width]; for (int h = 0; h < height; h++) for (int w = 0; w < width; w++) { mat[h][w] = this.nextDouble(); } return mat; } public char[][] nextCharMatrix(int height, int width) { char[][] mat = new char[height][width]; for (int h = 0; h < height; h++) { String s = this.next(); for (int w = 0; w < width; w++) { mat[h][w] = s.charAt(w); } } return mat; } } static class ContestPrinter extends java.io.PrintWriter { public ContestPrinter(java.io.PrintStream stream) { super(stream); } public ContestPrinter() { super(System.out); } private static String dtos(double x, int n) { StringBuilder sb = new StringBuilder(); if (x < 0) { sb.append('-'); x = -x; } x += Math.pow(10, -n) / 2; sb.append((long) x); sb.append("."); x -= (long) x; for (int i = 0; i < n; i++) { x *= 10; sb.append((int) x); x -= (int) x; } return sb.toString(); } @Override public void print(float f) { super.print(dtos(f, 20)); } @Override public void println(float f) { super.println(dtos(f, 20)); } @Override public void print(double d) { super.print(dtos(d, 20)); } @Override public void println(double d) { super.println(dtos(d, 20)); } public void printArray(int[] array, String separator) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(array[i]); super.print(separator); } super.println(array[n - 1]); } public void printArray(int[] array) { this.printArray(array, " "); } public void printArray(int[] array, String separator, java.util.function.IntUnaryOperator map) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(map.applyAsInt(array[i])); super.print(separator); } super.println(map.applyAsInt(array[n - 1])); } public void printArray(int[] array, java.util.function.IntUnaryOperator map) { this.printArray(array, " ", map); } public void printArray(long[] array, String separator) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(array[i]); super.print(separator); } super.println(array[n - 1]); } public void printArray(long[] array) { this.printArray(array, " "); } public void printArray(long[] array, String separator, java.util.function.LongUnaryOperator map) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(map.applyAsLong(array[i])); super.print(separator); } super.println(map.applyAsLong(array[n - 1])); } public void printArray(long[] array, java.util.function.LongUnaryOperator map) { this.printArray(array, " ", map); } } }