description: A robot cleaner is placed on the floor of a rectangle room, surrounded by walls. The floor consists of n rows and m columns. The rows of the floor are numbered from 1 to n from top to bottom, and columns of the floor are numbered from 1 to m from left to right. The cell on the intersection of the r-th row and the c-th column is denoted as (r,c). The initial position of the robot is (r_b, c_b).
  
  In one second, the robot moves by dr rows and dc columns, that is, after one second, the robot moves from the cell (r, c) to (r + dr, c + dc). Initially dr = 1, dc = 1. If there is a vertical wall (the left or the right walls) in the movement direction, dc is reflected before the movement, so the new value of dc is -dc. And if there is a horizontal wall (the upper or lower walls), dr is reflected before the movement, so the new value of dr is -dr.
  
  Each second (including the moment before the robot starts moving), the robot cleans every cell lying in the same row or the same column as its position. There is only one dirty cell at (r_d, c_d). The job of the robot is to clean that dirty cell.
  
  <image> Illustration for the first example. The blue arc is the robot. The red star is the target dirty cell. Each second the robot cleans a row and a column, denoted by yellow stripes.
  
  Given the floor size n and m, the robot's initial position (r_b, c_b) and the dirty cell's position (r_d, c_d), find the time for the robot to do its job.
  
  Input
  
  Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10^4). Description of the test cases follows.
  
  A test case consists of only one line, containing six integers n, m, r_b, c_b, r_d, and c_d (1 ≤ n, m ≤ 100, 1 ≤ r_b, r_d ≤ n, 1 ≤ c_b, c_d ≤ m) — the sizes of the room, the initial position of the robot and the position of the dirt cell.
  
  Output
  
  For each test case, print an integer — the time for the robot to clean the dirty cell. We can show that the robot always cleans the dirty cell eventually.
  
  Example
  
  Input
  
  
  5
  10 10 6 1 2 8
  10 10 9 9 1 1
  9 8 5 6 2 1
  6 9 2 2 5 8
  2 2 1 1 2 1
  
  
  Output
  
  
  7
  10
  9
  3
  0
  
  Note
  
  In the first example, the floor has the size of 10× 10. The initial position of the robot is (6, 1) and the position of the dirty cell is (2, 8). See the illustration of this example in the problem statement.
  
  In the second example, the floor is the same, but the initial position of the robot is now (9, 9), and the position of the dirty cell is (1, 1). In this example, the robot went straight to the dirty cell and clean it. 
  
  <image>
  
  In the third example, the floor has the size 9 × 8. The initial position of the robot is (5, 6), and the position of the dirty cell is (2, 1). 
  
  <image>
  
  In the fourth example, the floor has the size 6 × 9. The initial position of the robot is (2, 2) and the position of the dirty cell is (5, 8). 
  
  <image>
  
  In the last example, the robot was already standing in the same column as the dirty cell, so it can clean the cell right away. 
  
  <image>
solution: import java.io.*;
  import java.util.*;
  
  import static java.lang.Math.*;
  import static java.lang.Math.ceil;
  import static java.util.Arrays.sort;
  
  public class C {
      static int mod = 1000000007;
  
      public static void main(String[] args) throws Exception {
          int test = ri();
  
          while (test-- > 0) {
              int n = rni(), m = ni(), rb = ni(), cb = ni(), rd = ni(), cd = ni();
              if (rb == rd || cb == cd){
                  prln(0);
                  continue;
              }
              if (rb < rd && cb < cd){
                  prln(Math.min(rd-rb , cd - cb));
              }else if (rb > rd && cb < cd){
                  prln(Math.min((n-rb) + n-rd , cd - cb));
              }else if (rb < rd && cb > cd){
                  prln(Math.min((m-cb)+m-cd,rd-rb));
              }else if (rb > rd && cb > cd){
                  prln(Math.min((m-cb)+m-cd,(n-rb) + n-rd ));
              }
  
          }
  
  
          close();
      }
  
  
      static class Nodes {
          long a;
          int b;
  
  
          Nodes(long a, int b) {
              this.a = a;
              this.b = b;
  
          }
  
  
      }
  
      static class DisjointSetUnion {
          int p[];
          int count[];
  
          public DisjointSetUnion(int n) {
              p = new int[n];
              count = new int[n];
              for (int i = 0; i < n; i++) {
                  count[i] = 1;
              }
              clear(n);
          }
  
          public void clear(int n) {
              for (int i = 0; i < n; i++) {
                  p[i] = i;
              }
          }
  
          public int get(int x) {
              return x != p[x] ? p[x] = get(p[x]) : x;
          }
  
          public int getCount(int x) {
              return count[x];
          }
  
          public boolean union(int a, int b) {
              a = get(a);
              b = get(b);
              p[a] = b;
              if (a != b) {
                  count[b] += count[a];
                  count[a] = 0;
              }
              return a != b;
          }
      }
  
      static BufferedReader __i = new BufferedReader(new InputStreamReader(System.in));
      static PrintWriter __o = new PrintWriter(new OutputStreamWriter(System.out));
      static StringTokenizer input;
      static boolean[] isPrime;
      static Random __r = new Random();
  
      // references
      // IBIG = 1e9 + 7
      // IMAX ~= 2e9
      // LMAX ~= 9e18
  
      // constants
      static final int IBIG = 1000000007;
      static final int IMAX = 2147483647;
      static final long LMAX = 9223372036854775807L;
  
      // math util
      static int minof(int a, int b, int c) {
          return min(a, min(b, c));
      }
  
      static int minof(int... x) {
          if (x.length == 1) return x[0];
          if (x.length == 2) return min(x[0], x[1]);
          if (x.length == 3) return min(x[0], min(x[1], x[2]));
          int min = x[0];
          for (int i = 1; i < x.length; ++i) if (x[i] < min) min = x[i];
          return min;
      }
  
      static long minof(long a, long b, long c) {
          return min(a, min(b, c));
      }
  
      static long minof(long... x) {
          if (x.length == 1) return x[0];
          if (x.length == 2) return min(x[0], x[1]);
          if (x.length == 3) return min(x[0], min(x[1], x[2]));
          long min = x[0];
          for (int i = 1; i < x.length; ++i) if (x[i] < min) min = x[i];
          return min;
      }
  
      static int maxof(int a, int b, int c) {
          return max(a, max(b, c));
      }
  
      static int maxof(int... x) {
          if (x.length == 1) return x[0];
          if (x.length == 2) return max(x[0], x[1]);
          if (x.length == 3) return max(x[0], max(x[1], x[2]));
          int max = x[0];
          for (int i = 1; i < x.length; ++i) if (x[i] > max) max = x[i];
          return max;
      }
  
      static long maxof(long a, long b, long c) {
          return max(a, max(b, c));
      }
  
      static long maxof(long... x) {
          if (x.length == 1) return x[0];
          if (x.length == 2) return max(x[0], x[1]);
          if (x.length == 3) return max(x[0], max(x[1], x[2]));
          long max = x[0];
          for (int i = 1; i < x.length; ++i) if (x[i] > max) max = x[i];
          return max;
      }
  
      static int powi(int a, int b) {
          if (a == 0) return 0;
          int ans = 1;
          while (b > 0) {
              if ((b & 1) > 0) ans *= a;
              a *= a;
              b >>= 1;
          }
          return ans;
      }
  
      static long powl(long a, int b) {
          if (a == 0) return 0;
          long ans = 1;
          while (b > 0) {
              if ((b & 1) > 0) ans *= a;
              a *= a;
              b >>= 1;
          }
          return ans;
      }
  
      static int fli(double d) {
          return (int) d;
      }
  
      static int cei(double d) {
          return (int) ceil(d);
      }
  
      static long fll(double d) {
          return (long) d;
      }
  
      static long cel(double d) {
          return (long) ceil(d);
      }
  
      static int gcd(int a, int b) {
          return b == 0 ? a : gcd(b, a % b);
      }
  
      static long gcd(long a, long b) {
          return b == 0 ? a : gcd(b, a % b);
      }
  
      static int[] exgcd(int a, int b) {
          if (b == 0) return new int[]{1, 0};
          int[] y = exgcd(b, a % b);
          return new int[]{y[1], y[0] - y[1] * (a / b)};
      }
  
      static long[] exgcd(long a, long b) {
          if (b == 0) return new long[]{1, 0};
          long[] y = exgcd(b, a % b);
          return new long[]{y[1], y[0] - y[1] * (a / b)};
      }
  
      static int randInt(int min, int max) {
          return __r.nextInt(max - min + 1) + min;
      }
  
      static long mix(long x) {
          x += 0x9e3779b97f4a7c15L;
          x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9L;
          x = (x ^ (x >> 27)) * 0x94d049bb133111ebL;
          return x ^ (x >> 31);
      }
  
      static void setTrue(int n) {
          for (int i = 0; i < n; i++) {
              isPrime[i] = true;
          }
      }
  
      static void prime(int n) {
          for (int i = 2; i * i < n; i++) {
              if (isPrime[i]) {
                  for (int j = i * i; j < n; j += i) isPrime[j] = false;
              }
          }
      }
  
      public static long lcm(long number1, long number2) {
          if (number1 == 0 || number2 == 0) {
              return 0;
          }
          long absNumber1 = Math.abs(number1);
          long absNumber2 = Math.abs(number2);
          long absHigherNumber = Math.max(absNumber1, absNumber2);
          long absLowerNumber = Math.min(absNumber1, absNumber2);
          long lcm = absHigherNumber;
          while (lcm % absLowerNumber != 0) {
              lcm += absHigherNumber;
          }
          return lcm;
      }
  
      // array util
      static void swap(int a, int b) {
          a = a + b;
          b = a - b;
          a = a - b;
      }
  
      static void reverse(int[] a) {
          for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
              int swap = a[i];
              a[i] = a[n - i - 1];
              a[n - i - 1] = swap;
          }
      }
  
      static void reverse(long[] a) {
          for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
              long swap = a[i];
              a[i] = a[n - i - 1];
              a[n - i - 1] = swap;
          }
      }
  
      static void reverse(double[] a) {
          for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
              double swap = a[i];
              a[i] = a[n - i - 1];
              a[n - i - 1] = swap;
          }
      }
  
      static void reverse(char[] a) {
          for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
              char swap = a[i];
              a[i] = a[n - i - 1];
              a[n - i - 1] = swap;
          }
      }
  
      static void shuffle(int[] a) {
          int n = a.length - 1;
          for (int i = 0; i < n; ++i) {
              int ind = randInt(i, n);
              int swap = a[i];
              a[i] = a[ind];
              a[ind] = swap;
          }
      }
  
      static void shuffle(long[] a) {
          int n = a.length - 1;
          for (int i = 0; i < n; ++i) {
              int ind = randInt(i, n);
              long swap = a[i];
              a[i] = a[ind];
              a[ind] = swap;
          }
      }
  
      static void shuffle(double[] a) {
          int n = a.length - 1;
          for (int i = 0; i < n; ++i) {
              int ind = randInt(i, n);
              double swap = a[i];
              a[i] = a[ind];
              a[ind] = swap;
          }
      }
  
      static void rsort(int[] a) {
          shuffle(a);
          sort(a);
      }
  
      static void rsort(long[] a) {
          shuffle(a);
          sort(a);
      }
  
      static void rsort(double[] a) {
          shuffle(a);
          sort(a);
      }
  
      static int[] copy(int[] a) {
          int[] ans = new int[a.length];
          for (int i = 0; i < a.length; ++i) ans[i] = a[i];
          return ans;
      }
  
      static long[] copy(long[] a) {
          long[] ans = new long[a.length];
          for (int i = 0; i < a.length; ++i) ans[i] = a[i];
          return ans;
      }
  
      static double[] copy(double[] a) {
          double[] ans = new double[a.length];
          for (int i = 0; i < a.length; ++i) ans[i] = a[i];
          return ans;
      }
  
      static char[] copy(char[] a) {
          char[] ans = new char[a.length];
          for (int i = 0; i < a.length; ++i) ans[i] = a[i];
          return ans;
      }
  
      static void resetBoolean(boolean[] vis, int n) {
          for (int i = 0; i < n; i++) {
              vis[i] = false;
          }
      }
  
      static void setMinusOne(int[][] matrix) {
          int row = matrix.length;
          int col = matrix[0].length;
  
          for (int i = 0; i < row; i++) {
              for (int j = 0; j < col; j++) {
                  matrix[i][j] = -1;
              }
          }
  
      }
  
      // input
      static void r() throws IOException {
          input = new StringTokenizer(rline());
      }
  
      static int ri() throws IOException {
          return Integer.parseInt(rline().split(" ")[0]);
      }
  
      static long rl() throws IOException {
          return Long.parseLong(rline());
      }
  
      static double rd() throws IOException {
          return Double.parseDouble(rline());
      }
  
      static int[] ria(int n) throws IOException {
          int[] a = new int[n];
          r();
          for (int i = 0; i < n; ++i) a[i] = ni();
          return a;
      }
  
      static void ria(int[] a) throws IOException {
          int n = a.length;
          r();
          for (int i = 0; i < n; ++i) a[i] = ni();
      }
  
      static int[] riam1(int n) throws IOException {
          int[] a = new int[n];
          r();
          for (int i = 0; i < n; ++i) a[i] = ni() - 1;
          return a;
      }
  
      static void riam1(int[] a) throws IOException {
          int n = a.length;
          r();
          for (int i = 0; i < n; ++i) a[i] = ni() - 1;
      }
  
      static long[] rla(int n) throws IOException {
          long[] a = new long[n];
          r();
          for (int i = 0; i < n; ++i) a[i] = nl();
          return a;
      }
  
      static void rla(long[] a) throws IOException {
          int n = a.length;
          r();
          for (int i = 0; i < n; ++i) a[i] = nl();
      }
  
      static double[] rda(int n) throws IOException {
          double[] a = new double[n];
          r();
          for (int i = 0; i < n; ++i) a[i] = nd();
          return a;
      }
  
      static void rda(double[] a) throws IOException {
          int n = a.length;
          r();
          for (int i = 0; i < n; ++i) a[i] = nd();
      }
  
      static char[] rcha() throws IOException {
          return rline().toCharArray();
      }
  
      static void rcha(char[] a) throws IOException {
          int n = a.length, i = 0;
          for (char c : rline().toCharArray()) a[i++] = c;
      }
  
      static String rline() throws IOException {
          return __i.readLine();
      }
  
      static String n() {
          return input.nextToken();
      }
  
      static int rni() throws IOException {
          r();
          return ni();
      }
  
      static int ni() {
          return Integer.parseInt(n());
      }
  
      static long rnl() throws IOException {
          r();
          return nl();
      }
  
      static long nl() {
          return Long.parseLong(n());
      }
  
      static double rnd() throws IOException {
          r();
          return nd();
      }
  
      static double nd() {
          return Double.parseDouble(n());
      }
  
      // output
      static void pr(int i) {
          __o.print(i);
      }
  
      static void prln(int i) {
          __o.println(i);
      }
  
      static void pr(long l) {
          __o.print(l);
      }
  
      static void prln(long l) {
          __o.println(l);
      }
  
      static void pr(double d) {
          __o.print(d);
      }
  
      static void prln(double d) {
          __o.println(d);
      }
  
      static void pr(char c) {
          __o.print(c);
      }
  
      static void prln(char c) {
          __o.println(c);
      }
  
      static void pr(char[] s) {
          __o.print(new String(s));
      }
  
      static void prln(char[] s) {
          __o.println(new String(s));
      }
  
      static void pr(String s) {
          __o.print(s);
      }
  
      static void prln(String s) {
          __o.println(s);
      }
  
      static void pr(Object o) {
          __o.print(o);
      }
  
      static void prln(Object o) {
          __o.println(o);
      }
  
      static void prln() {
          __o.println();
      }
  
      static void pryes() {
          prln("yes");
      }
  
      static void pry() {
          prln("Yes");
      }
  
      static void prY() {
          prln("YES");
      }
  
      static void prno() {
          prln("no");
      }
  
      static void prn() {
          prln("No");
      }
  
      static void prN() {
          prln("NO");
      }
  
      static boolean pryesno(boolean b) {
          prln(b ? "yes" : "no");
          return b;
      }
  
      ;
  
      static boolean pryn(boolean b) {
          prln(b ? "Yes" : "No");
          return b;
      }
  
      static boolean prYN(boolean b) {
          prln(b ? "YES" : "NO");
          return b;
      }
  
      static void prln(int... a) {
          for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
          if (a.length > 0) prln(a[a.length - 1]);
          else prln();
      }
  
      static void prln(long... a) {
          for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
          if (a.length > 0) prln(a[a.length - 1]);
          else prln();
      }
  
      static void prln(double... a) {
          for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
          if (a.length > 0) prln(a[a.length - 1]);
          else prln();
      }
  
      static <T> void prln(Collection<T> c) {
          int n = c.size() - 1;
          Iterator<T> iter = c.iterator();
          for (int i = 0; i < n; pr(iter.next()), pr(' '), ++i) ;
          if (n >= 0) prln(iter.next());
          else prln();
      }
  
      static void h() {
          prln("hlfd");
          flush();
      }
  
      static void flush() {
          __o.flush();
      }
  
      static void close() {
          __o.close();
      }
  
  }
  