Problem: You are given three positive (i.e. strictly greater than zero) integers x, y and z.

Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such a, b and c.

You have to answer t independent test cases. Print required a, b and c in any (arbitrary) order.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 2 ⋅ 10^4) — the number of test cases. Then t test cases follow.

The only line of the test case contains three integers x, y, and z (1 ≤ x, y, z ≤ 10^9).

Output

For each test case, print the answer:

  * "NO" in the only line of the output if a solution doesn't exist; 
  * or "YES" in the first line and any valid triple of positive integers a, b and c (1 ≤ a, b, c ≤ 10^9) in the second line. You can print a, b and c in any order. 

Example

Input


5
3 2 3
100 100 100
50 49 49
10 30 20
1 1000000000 1000000000


Output


YES
3 2 1
YES
100 100 100
NO
NO
YES
1 1 1000000000

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastReader in = new FastReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        AThreePairwiseMaximums solver = new AThreePairwiseMaximums();
        solver.solve(1, in, out);
        out.close();
    }

    static class AThreePairwiseMaximums {
        public void solve(int testNumber, FastReader s, PrintWriter out) {
            int t = s.nextInt();
            while (t-- > 0) {
                int x = s.nextInt();
                int y = s.nextInt();
                int z = s.nextInt();

                int a = 0;
                int b = 0;
                int c = 0;
                if (x == y && x == z) {
                    a = b = c = x;
                    out.println("YES");
                    out.println(a + " " + b + " " + c);
                    continue;
                }

                if (x == z) {
                    if (y > x) {
                        out.println("NO");
                        continue;
                    } else {
                        a = y;
                        c = y;
                        b = x;
                        out.println("YES");
                        out.println(a + " " + b + " " + c);
                        continue;
                    }
                }

                if (x == y) {
                    if (z > x) {
                        out.println("NO");
                        continue;
                    } else {
                        a = y;
                        c = z;
                        b = z;
                        out.println("YES");
                        out.println(a + " " + b + " " + c);
                        continue;
                    }
                }

                if (z == y) {
                    if (z < x) {
                        out.println("NO");
                        continue;
                    } else {
                        c = y;
                        a = x;
                        b = x;
                        out.println("YES");
                        out.println(a + " " + b + " " + c);
                        continue;
                    }
                }

                out.println("NO");
            }
        }

    }

    static class FastReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private FastReader.SpaceCharFilter filter;

        public FastReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }
}