description: Vupsen and Pupsen were gifted an integer array. Since Vupsen doesn't like the number 0, he threw away all numbers equal to 0 from the array. As a result, he got an array a of length n.
  
  Pupsen, on the contrary, likes the number 0 and he got upset when he saw the array without zeroes. To cheer Pupsen up, Vupsen decided to come up with another array b of length n such that ∑_{i=1}^{n}a_i ⋅ b_i=0. Since Vupsen doesn't like number 0, the array b must not contain numbers equal to 0. Also, the numbers in that array must not be huge, so the sum of their absolute values cannot exceed 10^9. Please help Vupsen to find any such array b!
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. The next 2 ⋅ t lines contain the description of test cases. The description of each test case consists of two lines.
  
  The first line of each test case contains a single integer n (2 ≤ n ≤ 10^5) — the length of the array.
  
  The second line contains n integers a_1, a_2, …, a_n (-10^4 ≤ a_i ≤ 10^4, a_i ≠ 0) — the elements of the array a.
  
  It is guaranteed that the sum of n over all test cases does not exceed 2 ⋅ 10^5.
  
  Output
  
  For each test case print n integers b_1, b_2, …, b_n — elements of the array b (|b_1|+|b_2|+… +|b_n| ≤ 10^9, b_i ≠ 0, ∑_{i=1}^{n}a_i ⋅ b_i=0).
  
  It can be shown that the answer always exists.
  
  Example
  
  Input
  
  
  3
  2
  5 5
  5
  5 -2 10 -9 4
  7
  1 2 3 4 5 6 7
  
  
  Output
  
  
  1 -1
  -1 5 1 -1 -1
  -10 2 2 -3 5 -1 -1
  
  Note
  
  In the first test case, 5 ⋅ 1 + 5 ⋅ (-1)=5-5=0. You could also print 3 -3, for example, since 5 ⋅ 3 + 5 ⋅ (-3)=15-15=0
  
  In the second test case, 5 ⋅ (-1) + (-2) ⋅ 5 + 10 ⋅ 1 + (-9) ⋅ (-1) + 4 ⋅ (-1)=-5-10+10+9-4=0.
solution: import java.util.*;
  import java.io.*;
  
  public class D {
  
      public void prayGod() throws IOException {
          int t = nextInt();
          while (t-- > 0) {
              int n = nextInt();
  
              long[] a = nextLongArray(n);
              long[] ret = new long[n];
  
              if (n % 2 == 0) {
                  for (int i = 0; i < n; i += 2) {
                      long g = gcd(Math.abs(a[i]), Math.abs(a[i + 1]));
                      long lcm = Math.abs(a[i]) * Math.abs(a[i + 1]) / g;
                      ret[i] = lcm / Math.abs(a[i]);
                      ret[i + 1] = lcm / Math.abs(a[i + 1]);
                      if (a[i + 1] > 0)
                          ret[i + 1] = -ret[i + 1];
                      if (a[i] < 0)
                          ret[i] = -ret[i];
                  }
  
              } else {
                  for (int i = 0; i < n - 3; i += 2) {
                      long g = gcd(Math.abs(a[i]), Math.abs(a[i + 1]));
                      long lcm = Math.abs(a[i]) * Math.abs(a[i + 1]) / g;
                      ret[i] = lcm / Math.abs(a[i]);
                      ret[i + 1] = lcm / Math.abs(a[i + 1]);
                      if (a[i + 1] > 0)
                          ret[i + 1] = -ret[i + 1];
                      if (a[i] < 0)
                          ret[i] = -ret[i];
                  }
                  ret[n - 3] = Math.abs(a[n - 1]);
                  ret[n - 2] = Math.abs(a[n - 1]);
                  ret[n - 1] = Math.abs(a[n - 2]) + Math.abs(a[n - 3]);
  
                  if (a[n - 3] < 0)
                      ret[n - 3] = -ret[n - 3];
                  if (a[n - 2] < 0)
                      ret[n - 2] = -ret[n - 2];
                  if (a[n - 1] > 0)
                      ret[n - 1] = -ret[n - 1];
              }
  
              for (long v : ret) {
                  out.printf("%d ", v);
              }
              out.println();
  
          }
      }
  
      public long gcd(long a, long b) {
          if (b == 0)
              return a;
          return gcd(b, a % b);
      }
  
      static final boolean RUN_TIMING = true;
      static final boolean AUTOFLUSH = false;
      static final boolean FILE_INPUT = false;
      static final boolean FILE_OUTPUT = false;
  
      static int iinf = 0x3f3f3f3f;
      static long inf = (long) 1e18 + 10;
      static long mod = 998244353L;
  
      static char[] inputBuffer = new char[1 << 20];
      static PushbackReader in = new PushbackReader(new BufferedReader(new InputStreamReader(System.in)), 1 << 20);
      static PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)), AUTOFLUSH);
  
      // int data-type
      public int nextInt() throws IOException {
          return Integer.parseInt(next());
      }
  
      public int[] nextIntArray(int n) throws IOException {
          int[] arr = new int[n];
          for (int i = 0; i < n; i++)
              arr[i] = nextInt();
          return arr;
      }
  
      public void sort(int[] a) {
          shuffle(a);
          Arrays.sort(a);
      }
  
      public static void printArray(int[] arr) {
          for (int i = 0; i < arr.length; i++)
              out.print(arr[i] + " ");
          out.println();
      }
  
      // long data-type
      public long nextLong() throws IOException {
          return Long.parseLong(next());
      }
  
      public long[] nextLongArray(int n) throws IOException {
          long[] arr = new long[n];
          for (int i = 0; i < n; i++)
              arr[i] = nextLong();
          return arr;
      }
  
      public static void printArray(long[] arr) {
          for (int i = 0; i < arr.length; i++)
              out.print(arr[i] + " ");
          out.println();
      }
  
      public void sort(long[] a) {
          shuffle(a);
          Arrays.sort(a);
      }
  
      // double data-type
      public double nextDouble() throws IOException {
          return Double.parseDouble(next());
      }
  
      public double[] nextDoubleArray(int n) throws IOException {
          double[] arr = new double[n];
          for (int i = 0; i < n; i++)
              arr[i] = nextDouble();
          return arr;
      }
  
      public static void printArray(double[] arr) {
          for (int i = 0; i < arr.length; i++)
              out.print(arr[i] + " ");
          out.println();
      }
  
      // Generic type
      public <T> void sort(T[] a) {
          shuffle(a);
          Arrays.sort(a);
      }
  
      public static <T> void printArray(T[] arr) {
          for (int i = 0; i < arr.length; i++)
              out.print(arr[i] + " ");
          out.println();
      }
  
      public String next() throws IOException {
          int len = 0;
          int c;
          do {
              c = in.read();
          } while (Character.isWhitespace(c) && c != -1);
          if (c == -1) {
              throw new NoSuchElementException("Reached EOF");
          }
          do {
              inputBuffer[len] = (char) c;
              len++;
              c = in.read();
          } while (!Character.isWhitespace(c) && c != -1);
          while (c != '\n' && Character.isWhitespace(c) && c != -1) {
              c = in.read();
          }
          if (c != -1 && c != '\n') {
              in.unread(c);
          }
          return new String(inputBuffer, 0, len);
      }
  
      public String nextLine() throws IOException {
          int len = 0;
          int c;
          while ((c = in.read()) != '\n' && c != -1) {
              if (c == '\r') {
                  continue;
              }
              inputBuffer[len] = (char) c;
              len++;
          }
          return new String(inputBuffer, 0, len);
      }
  
      public boolean hasNext() throws IOException {
          String line = nextLine();
          if (line.isEmpty()) {
              return false;
          }
          in.unread('\n');
          in.unread(line.toCharArray());
          return true;
      }
  
      public void shuffle(int[] arr) {
          int n = arr.length;
          for (int i = 0; i < n; i++) {
              int j = (int) (Math.random() * (n - i));
              int temp = arr[i];
              arr[i] = arr[j];
              arr[j] = temp;
          }
      }
  
      public void shuffle(long[] arr) {
          int n = arr.length;
          for (int i = 0; i < n; i++) {
              int j = (int) (Math.random() * (n - i));
              long temp = arr[i];
              arr[i] = arr[j];
              arr[j] = temp;
          }
      }
  
      public void shuffle(Object[] arr) {
          int n = arr.length;
          for (int i = 0; i < n; i++) {
              int j = (int) (Math.random() * (n - i));
              Object temp = arr[i];
              arr[i] = arr[j];
              arr[j] = temp;
          }
      }
  
      public static void main(String[] args) throws IOException {
          if (FILE_INPUT)
              in = new PushbackReader(new BufferedReader(new FileReader(new File("output.txt"))), 1 << 20);
          if (FILE_OUTPUT)
              out = new PrintWriter(new FileWriter(new File("output.txt")));
  
          long time = 0;
          time -= System.nanoTime();
          new D().prayGod();
          time += System.nanoTime();
  
          if (RUN_TIMING)
              System.err.printf("%.3f ms%n", time / 1000000.0);
  
          out.flush();
          in.close();
      }
  }