description: Vlad has n friends, for each of whom he wants to buy one gift for the New Year.
  
  There are m shops in the city, in each of which he can buy a gift for any of his friends. If the j-th friend (1 ≤ j ≤ n) receives a gift bought in the shop with the number i (1 ≤ i ≤ m), then the friend receives p_{ij} units of joy. The rectangular table p_{ij} is given in the input.
  
  Vlad has time to visit at most n-1 shops (where n is the number of friends). He chooses which shops he will visit and for which friends he will buy gifts in each of them.
  
  Let the j-th friend receive a_j units of joy from Vlad's gift. Let's find the value α=min\\{a_1, a_2, ..., a_n\}. Vlad's goal is to buy gifts so that the value of α is as large as possible. In other words, Vlad wants to maximize the minimum of the joys of his friends.
  
  For example, let m = 2, n = 2. Let the joy from the gifts that we can buy in the first shop: p_{11} = 1, p_{12}=2, in the second shop: p_{21} = 3, p_{22}=4.
  
  Then it is enough for Vlad to go only to the second shop and buy a gift for the first friend, bringing joy 3, and for the second — bringing joy 4. In this case, the value α will be equal to min\{3, 4\} = 3
  
  Help Vlad choose gifts for his friends so that the value of α is as high as possible. Please note that each friend must receive one gift. Vlad can visit at most n-1 shops (where n is the number of friends). In the shop, he can buy any number of gifts.
  
  Input
  
  The first line of the input contains an integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input.
  
  An empty line is written before each test case. Then there is a line containing integers m and n (2 ≤ n, 2 ≤ n ⋅ m ≤ 10^5) separated by a space — the number of shops and the number of friends, where n ⋅ m is the product of n and m.
  
  Then m lines follow, each containing n numbers. The number in the i-th row of the j-th column p_{ij} (1 ≤ p_{ij} ≤ 10^9) is the joy of the product intended for friend number j in shop number i.
  
  It is guaranteed that the sum of the values n ⋅ m over all test cases in the test does not exceed 10^5.
  
  Output
  
  Print t lines, each line must contain the answer to the corresponding test case — the maximum possible value of α, where α is the minimum of the joys from a gift for all of Vlad's friends.
  
  Example
  
  Input
  
  
  5
  
  2 2
  1 2
  3 4
  
  4 3
  1 3 1
  3 1 1
  1 2 2
  1 1 3
  
  2 3
  5 3 4
  2 5 1
  
  4 2
  7 9
  8 1
  9 6
  10 8
  
  2 4
  6 5 2 1
  7 9 7 2
  
  
  Output
  
  
  3
  2
  4
  8
  2
solution: import static java.lang.Math.*;
  
  import java.util.*;
  import java.io.*;
  
  public class Solution {
  
      public static int find(int m, int n, int[][] a) {
          HashSet<Integer> msi = new HashSet<>();
          int min = Integer.MAX_VALUE;
          for (int i = 0; i < n; i++) {
              int max = Integer.MIN_VALUE;
              int mi = -1;
              for (int j = 0; j < m; j++) {
                  if (a[j][i] > max) {
                      max = a[j][i];
                      mi = j;
                  }
              }
              min = min(min, max);
              msi.add(mi);
          }
          if (msi.size() <= n-1) return min;
          int res = 0;
          for (int i = 0; i < m; i++) {
              int[] arr = a[i];
              int l = max(arr[0], arr[1]);
              int sl = min(arr[0], arr[1]);
              for (int j = 2; j < n; j++) {
                  if (arr[j] > l) {
                      sl = l;
                      l = arr[j];
                  }
                  else if (arr[j] > sl && arr[j] <= l) sl = arr[j];
              }
              res = max(res, sl);
          }
          return min(res, min);
      }
  
      public static void main(String[] args) {
          InputReader fs = new InputReader(System.in);
          PrintWriter pw = new PrintWriter(System.out);
          int t = fs.readInt();
          for (int tt = 0; tt < t; tt++) {
              int m = fs.readInt();
              int n = fs.readInt();
              int[][] a = new int[m][n];
              for (int i = 0; i < m; i++) {
                  a[i] = fs.readIntArray(n);
              }
              pw.println(find(m, n, a));
          }
  
          pw.flush();
          pw.close();
      }
  
      static class InputReader
      {
          private InputStream stream;
          private byte[] buf = new byte[1024];
          private int curChar;
          private int numChars;
          private SpaceCharFilter filter;
  
          public InputReader(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 readInt() {
              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 String readString() {
              int c = read();
              while (isSpaceChar(c))
                  c = read();
              StringBuilder res = new StringBuilder();
              do
              {
                  res.appendCodePoint(c);
                  c = read();
              } while (!isSpaceChar(c));
              return res.toString();
          }
  
          public double readDouble() {
              int c = read();
              while (isSpaceChar(c))
                  c = read();
              int sgn = 1;
              if (c == '-')
              {
                  sgn = -1;
                  c = read();
              }
              double res = 0;
              while (!isSpaceChar(c) && c != '.')
              {
                  if (c == 'e' || c == 'E')
                      return res * Math.pow(10, readInt());
                  if (c < '0' || c > '9')
                      throw new InputMismatchException();
                  res *= 10;
                  res += c - '0';
                  c = read();
              }
              if (c == '.')
              {
                  c = read();
                  double m = 1;
                  while (!isSpaceChar(c))
                  {
                      if (c == 'e' || c == 'E')
                          return res * Math.pow(10, readInt());
                      if (c < '0' || c > '9')
                          throw new InputMismatchException();
                      m /= 10;
                      res += (c - '0') * m;
                      c = read();
                  }
              }
              return res * sgn;
          }
  
          public long readLong() {
              int c = read();
              while (isSpaceChar(c))
                  c = read();
              int sgn = 1;
              if (c == '-')
              {
                  sgn = -1;
                  c = read();
              }
              long 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 c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
          }
          public int[] readIntArray(int n) {
              int[] a = new int[n];
              for (int i = 0; i < n; i++) {
                  a[i] = readInt();
              }
              return a;
          }
          public int[] readIntArrayShifted(int n) {
              int[] a = new int[n + 1];
              for (int i = 0; i < n; i++) {
                  a[i + 1] = readInt();
              }
              return a;
          }
          public long[] readLongArray(int n) {
              long[] a = new long[n];
              for (int i = 0; i < n; i++) {
                  a[i] = readLong();
              }
              return a;
          }
          public String next() {
              return readString();
          }
  
          interface SpaceCharFilter {
              public boolean isSpaceChar(int ch);
          }
      }
  
  }