Problem: After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it N rows with M trees each were planted and the rows were so neat that one could map it on a system of coordinates so that the j-th tree in the i-th row would have the coordinates of (i, j). However a terrible thing happened and the young forest caught fire. Now we must find the coordinates of the tree that will catch fire last to plan evacuation.

The burning began in K points simultaneously, which means that initially K trees started to burn. Every minute the fire gets from the burning trees to the ones that aren’t burning and that the distance from them to the nearest burning tree equals to 1.

Find the tree that will be the last to start burning. If there are several such trees, output any.

Input

The first input line contains two integers N, M (1 ≤ N, M ≤ 2000) — the size of the forest. The trees were planted in all points of the (x, y) (1 ≤ x ≤ N, 1 ≤ y ≤ M) type, x and y are integers.

The second line contains an integer K (1 ≤ K ≤ 10) — amount of trees, burning in the beginning. 

The third line contains K pairs of integers: x1, y1, x2, y2, ..., xk, yk (1 ≤ xi ≤ N, 1 ≤ yi ≤ M) — coordinates of the points from which the fire started. It is guaranteed that no two points coincide.

Output

Output a line with two space-separated integers x and y — coordinates of the tree that will be the last one to start burning. If there are several such trees, output any.

Examples

Input

3 3
1
2 2


Output

1 1


Input

3 3
1
1 1


Output

3 3


Input

3 3
2
1 1 3 3


Output

2 2

Solution (in JAVA):

Solution:
import java.io.*;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.math.RoundingMode;
import java.text.DecimalFormat;
import java.util.*;

import static java.lang.Math.*;

public class Main {

    final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok = new StringTokenizer("");

    void init() throws FileNotFoundException {
        if (ONLINE_JUDGE) {
            in = new BufferedReader(new FileReader("input.txt"));
            out = new PrintWriter("output.txt");
        } else {
            in = new BufferedReader(new FileReader("input.txt"));
            out = new PrintWriter("output.txt");
        }
    }

    String readString() throws IOException {
        while (!tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine());
        }
        return tok.nextToken();
    }

    int readInt() throws IOException {
        return Integer.parseInt(readString());
    }

    long readLong() throws IOException {
        return Long.parseLong(readString());
    }

    double readDouble() throws IOException {
        return Double.parseDouble(readString());
    }

    public static void main(String[] args) {
        new Main().run();
        // Sworn to fight and die
    }

    public static void mergeSort(int[] a) {
        mergeSort(a, 0, a.length - 1);
    }

    private static void mergeSort(int[] a, int levtIndex, int rightIndex) {
        final int MAGIC_VALUE = 50;
        if (levtIndex < rightIndex) {
            if (rightIndex - levtIndex <= MAGIC_VALUE) {
                insertionSort(a, levtIndex, rightIndex);
            } else {
                int middleIndex = (levtIndex + rightIndex) / 2;
                mergeSort(a, levtIndex, middleIndex);
                mergeSort(a, middleIndex + 1, rightIndex);
                merge(a, levtIndex, middleIndex, rightIndex);
            }
        }
    }

    private static void merge(int[] a, int levtIndex, int middleIndex,
                              int rightIndex) {
        int length1 = middleIndex - levtIndex + 1;
        int length2 = rightIndex - middleIndex;
        int[] levtArray = new int[length1];
        int[] rightArray = new int[length2];
        System.arraycopy(a, levtIndex, levtArray, 0, length1);
        System.arraycopy(a, middleIndex + 1, rightArray, 0, length2);
        for (int k = levtIndex, i = 0, j = 0; k <= rightIndex; k++) {
            if (i == length1) {
                a[k] = rightArray[j++];
            } else if (j == length2) {
                a[k] = levtArray[i++];
            } else {
                a[k] = levtArray[i] <= rightArray[j] ? levtArray[i++]
                        : rightArray[j++];
            }
        }
    }

    private static void insertionSort(int[] a, int levtIndex, int rightIndex) {
        for (int i = levtIndex + 1; i <= rightIndex; i++) {
            int current = a[i];
            int j = i - 1;
            while (j >= levtIndex && a[j] > current) {
                a[j + 1] = a[j];
                j--;
            }
            a[j + 1] = current;
        }
    }

    public void run() {
        try {
            long t1 = System.currentTimeMillis();
            init();
            solve();
            out.close();
            long t2 = System.currentTimeMillis();
            System.err.println("Time = " + (t2 - t1));
        } catch (Exception e) {
            e.printStackTrace(System.err);
            System.exit(-1);
        }
    }



    class LOL implements Comparable<LOL> {

        int x;
        int y;



        public LOL(int x, int y) {
            this.x = x;
            this.y = y;

        }

        @Override
        public int compareTo(LOL o) {

            return (x - o.x); // ---->
            //return o.x * o.y - x * y; // <----
        }

    }

    class LOL2 implements Comparable<LOL2> {

        int x;
        int y;
        int z;



        public LOL2(int x, int y, int z) {
            this.x = x;
            this.y = y;
            this.z = z;
        }

        @Override
        public int compareTo(LOL2 o) {

            return (z - o.z); // ---->
            //return o.x * o.y - x * y; // <----
        }

    }

    class test implements Comparable<test> {

        long x;
        long y;



        public test(long x, long y) {
            this.x = x;
            this.y = y;

        }

        @Override
        public int compareTo(test o) {
            //int compareResult = Long.compare(y, o.y); // ---->

            //if (compareResult != 0) {
            //    return -compareResult;
            //}

            int compareResult = Long.compare(x, o.x);

            if (compareResult != 0) {
                return compareResult;
            }

            return Long.compare(y, o.y);

            //return o.x * o.y - x * y; // <----
        }

    }

    class data {
        String name;
        String city;

        data(String name, String city) {
            this.city = city;
            this.name = name;
        }
    }

    class Point {
        double x;
        double y;


        Point(double x, double y) {
            this.x = x;
            this.y = y;

        }

        double distance(Point temp) {
            return Math.sqrt((x - temp.x) * (x - temp.x) + (y - temp.y) * (y - temp.y));
        }

        double sqrDist(Point temp) {
            return ((x - temp.x) * (x - temp.x) + (y - temp.y) * (y - temp.y));
        }

        Point rotate(double alpha) {
            return new Point(x * cos(alpha) - y * sin(alpha), x * sin(alpha) + y * cos(alpha));
        }

        void sum(Point o) {
            x += o.x;
            y += o.y;
        }

        void scalarProduct(int alpha) {
            x *= alpha;
            y *= alpha;
        }

    }

    class Line {
        double a;
        double b;
        double c;

        Line(Point A, Point B) {
            a = B.y - A.y;
            b = A.x - B.x;
            c = -A.x * a - A.y * b;
        }
        Line(double a, double b, double c) {
            this.a = a;
            this.b = b;
            this.c = c;
        }

      Point intersection(Line o) {
            double det = a * o.b - b * o.a;
            double det1 = -c * o.b + b * o.c;
            double det2 = -a * o.c + c * o.a;
            return new Point(det1 / det, det2 / det);
        }
    }

 /*   class Plane {
        double a;
        double b;
        double c;
        double d;

        Plane (Point fir, Point sec, Point thi) {
            double del1 = (sec.y - fir.y) * (thi.z - fir.z) - (thi.y - fir.y) * (sec.z - fir.z);
            double del2 = (thi.x - fir.x) * (sec.z - fir.z) - (thi.z - fir.z) * (sec.x - fir.x);
            double del3 = (thi.y - fir.y) * (sec.x - fir.x) - (thi.x - fir.x) * (sec.y - fir.y);
            a = del1;
            b = del2;
            c = del3;
            d = -fir.x * del1 - fir.y * del2 - fir.z * del3;
        }

        double distance(Point point) {
            return abs(a * point.x + b * point.y + c * point.z + d) / sqrt(a * a + b * b + c * c);
        }


    } */

    class record implements Comparable<record> {
        String city;
        Long score;

        public record(String name, Long score) {
            this.city = name;
            this.score = score;
        }

        @Override
        public int compareTo(record o) {
            if (o.city.equals(city)) {
                return 0;
            }

            if (score.equals(o.score)) {
                return 1;
            }

            if (score > o.score) {
                return 666;
            } else {
                return -666;
            }

            //return Long.compare(score, o.score);

        }

    }

    public long gcd(long a, long b) {
        if (a == 0 || b == 0) return max(a, b);

        if (a % b == 0)
            return b;
        else
            return gcd(b, a % b);
    }

    boolean prime(long n) {
        if (n == 1) return false;
        for (int i = 2; i <= sqrt(n); i++)
            if (n % i == 0)
                return false;
        return true;
    }

    public int sum(long n) {
        int s = 0;

        while (n > 0) {
            s += (n % 10);
            n /= 10;
        }

        return s;

    }

 /*   public void simulation(int k) {
        long ans = 0;
        int start = 1;
        for (int i = 0; i < k; i++) {
            start *= 10;
        }
        for (int i = start/10; i < start; i++) {
            int locAns = 0;
            for (int j = start/10; j < start; j++) {
                if  (sum(i + j) == sum(i) + sum(j) ) {
                    ans += 1;
                    locAns += 1;
                } else {
                    //.println(i + "!!!" + j);
                }
            }
            //out.println(i + " " + locAns);
        }
        out.println(ans);
    }*/




    ArrayList<Integer> primes;
    boolean[] isPrime;

    public void getPrimes (int n) {
        isPrime[0] = false;
        isPrime[1] = false;
        for (int i = 2; i <= n; i++) {
            if (isPrime[i]) {
                primes.add(i);
                if (1l * i * i <= n) {
                    for (int j = i * i; j <= n; j += i) {
                        isPrime[j] = false;
                    }
                }
            }
        }
    }




    public long binPowMod(long a, long b, long mod) {
        if (b == 0) {
            return 1 % mod;
        }

        if (b % 2 != 0) {
            return ((a % mod) * (binPowMod(a, b - 1, mod) % mod)) % mod;
        } else {
            long temp = binPowMod(a, b / 2, mod) % mod;
            long ans = (temp * temp) % mod;
            return ans;

        }
    }


    int type[];
    boolean vis[];

    HashMap<Integer, HashSet<Integer>> g;

    int componentNum[];

  /*  void dfs(int u, int numOfComponent) {
        vis[u] = true;
        componentNum[u] = numOfComponent;

        for (Integer v: g.get(u)) {
            if (!vis[v]) {
                dfs(v, numOfComponent);
            }
        }
    } */

    int p[];

    int find(int x) {
        if (x == p[x]) {
            return x;
        }

        return p[x] = find(p[x]);
    }

    boolean merge(int x, int y) {
        x = find(x);
        y = find(y);
        if (p[x] == p[y]) {
            return false;
        }
        p[y] = x;
        return true;
    }

    class Trajectory {
        double x0;
        double y0;
        double vx;
        double vy;


        Trajectory(double vx, double vy, double x0, double y0) {
            this.vx = vx;
            this.vy = vy;

            this.x0 = x0;
            this.y0 = y0;
        }

        double y (double x) {
            return y0 + (x - x0) * (vy / vx) - 5 * (x - x0) * (x - x0) / (vx * vx);
        }

        double der(double x) {
            return (vy / vx) - 10 * (x - x0) / (vx * vx);
        }


    }

    int s;
    int n;
    int m;
    boolean isVisited[][];
    char[][] maze;
    int[] dx = {0, 0, -1, 1};
    int[] dy = {1, -1, 0, 0};

    void dfs(int x, int y) {
        isVisited[x][y] = true;

        for (int i = 0; i < 4; i++) {
            int currX = x + dx[i];
            int currY = y + dy[i];

            if (maze[currX][currY] == '.' && !isVisited[currX][currY]) {
                dfs(currX, currY);
            }

        }



    }




    public void solve() throws IOException {

        n = readInt();
        m = readInt();

        maze = new char[n + 2][m + 2];

        for (int i = 0; i < n + 2; i++) {
            maze[i][0] = '#';
            maze[i][m + 1] = '#';
        }

        for (int j = 0; j < m + 2; j++) {
            maze[0][j] = '#';
            maze[n + 1][j] = '#';
        }

        for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= m; j++) {
                maze[i][j] = '.';
            }
        }

        int[][] dist = new int[n + 2][m + 2];

        for (int i = 0; i < n + 2; i++) {
            for (int j = 0; j < m + 2; j++) {
                dist[i][j] = Integer.MAX_VALUE;
            }
        }

        ArrayDeque<Integer> xValues = new ArrayDeque<Integer>();
        ArrayDeque<Integer> yValues = new ArrayDeque<Integer>();

        int k = readInt();
        for (int i = 0; i < k; i++) {
            int currX = readInt();
            int currY = readInt();
            xValues.add(currX);
            yValues.add(currY);
            dist[currX][currY] = 0;
        }



        while(!xValues.isEmpty()) {
            int x = xValues.poll();
            int y = yValues.poll();

            for (int i = 0; i < 4; i++) {
                int currX = x + dx[i];
                int currY = y + dy[i];

                if (maze[currX][currY] == '.' && dist[currX][currY] > dist[x][y] + 1) {
                    dist[currX][currY] = dist[x][y] + 1;
                    xValues.add(currX);
                    yValues.add(currY);
                }

            }

        }

        int maxDist = 0;
        int indexX = 0;
        int indexY = 0;

        for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= m; j++) {
                if (dist[i][j] >= maxDist) {
                    maxDist = dist[i][j];
                    indexX = i;
                    indexY = j;
                }
            }
        }

        out.print(indexX + " " + indexY);





    }



}