An army of n droids is lined up in one row. Each droid is described by m integers a1, a2, ..., am, where ai is the number of details of the i-th type in this droid's mechanism. R2-D2 wants to destroy the sequence of consecutive droids of maximum length. He has m weapons, the i-th weapon can affect all the droids in the army by destroying one detail of the i-th type (if the droid doesn't have details of this type, nothing happens to it). 

A droid is considered to be destroyed when all of its details are destroyed. R2-D2 can make at most k shots. How many shots from the weapon of what type should R2-D2 make to destroy the sequence of consecutive droids of maximum length?

Input

The first line contains three integers n, m, k (1 ≤ n ≤ 105, 1 ≤ m ≤ 5, 0 ≤ k ≤ 109) — the number of droids, the number of detail types and the number of available shots, respectively.

Next n lines follow describing the droids. Each line contains m integers a1, a2, ..., am (0 ≤ ai ≤ 108), where ai is the number of details of the i-th type for the respective robot.

Output

Print m space-separated integers, where the i-th number is the number of shots from the weapon of the i-th type that the robot should make to destroy the subsequence of consecutive droids of the maximum length.

If there are multiple optimal solutions, print any of them. 

It is not necessary to make exactly k shots, the number of shots can be less.

Examples

Input

5 2 4
4 0
1 2
2 1
0 2
1 3


Output

2 2


Input

3 2 4
1 2
1 3
2 2


Output

1 3

Note

In the first test the second, third and fourth droids will be destroyed. 

In the second test the first and second droids will be destroyed.
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.util.ArrayDeque;
import java.util.StringTokenizer;

public class _514D {

    static int m, n, k;
    static int[][] a;
    static ArrayDeque<Integer>[] queues; // queues[i] is the monotone queue which saves the indices 

    static int calc() {
        int ans = 0;
        for (int i = 0; i < m; i++)
            ans += a[queues[i].getFirst()][i];
        return ans;
    }

    static void doit(int row) {
        for (int i = 0; i < m; i++) {
            while (!queues[i].isEmpty() && a[row][i] > a[queues[i].getLast()][i])
                queues[i].pollLast();
            queues[i].addLast(row);
        }
    }

    static void undo(int row) {
        for (int i = 0; i < m; i++) {
            if (queues[i].getFirst() == row)
                queues[i].pollFirst();
        }
    }

    static int maxCnt = 0;
    static int[] ans;

    static int[] collect() {
        int[] ans = new int[m];
        for (int i = 0; i < m; i++)
            ans[i] = a[queues[i].getFirst()][i];
        return ans;
    }

    /*
     * ans = isok(len)
     * ans[0][0] = 1, if ok
     * ans[0][0] = 0, if not ok
     * 
     * ans[1] = corresponding array
     */
    static int[][] isok(int len) {
        int[][] ans = new int[2][1];
        if (len == 0) {
            ans[0][0] = 1;
            ans[1] = new int[m];
            return ans;
        }

        for (int i = 0; i < queues.length; i++)
            queues[i].clear();
        for (int i = 0; i < len; i++)
            doit(i);
        if (calc() <= k) {
            ans[0][0] = 1;
            ans[1] = collect();
            return ans;
        }
        for (int row = 1; row + len <= n; row++) {
            undo(row - 1);
            doit(row + len - 1);
            if (calc() <= k) {
                ans[0][0] = 1;
                ans[1] = collect();
                return ans;
            }
        }

        return ans;
    }

    @SuppressWarnings("unchecked")
    public static void main(String[] args) throws Exception {
        Reader.init(System.in);
        BufferedWriter cout = new BufferedWriter(new OutputStreamWriter(System.out));

        n = Reader.nextInt();
        m = Reader.nextInt();
        k = Reader.nextInt();
        a = new int[n][m];
        for (int i = 0; i < n; i++)
            for (int j = 0; j < m; j++)
                a[i][j] = Reader.nextInt();
        queues = new ArrayDeque[m];
        for (int i = 0; i < m; i++)
            queues[i] = new ArrayDeque<Integer>();
        ans = new int[m];

        int left = 0, right = n + 1;
        while (left + 1 < right) {
            int mid = (left + right) / 2;
            int[][] res = isok(mid);
            if (res[0][0] == 1) {
                left = mid;
                maxCnt = mid;
                ans = res[1];
            } else
                right = mid;
        }

        for (int i = 0; i < m; i++)
            System.out.print(ans[i] + " ");

        cout.close();
    }

    static class Pair<U extends Comparable<U>, V extends Comparable<V>> implements Comparable<Pair<U, V>> {
        final U _1;
        final V _2;

        private Pair(U key, V val) {
            this._1 = key;
            this._2 = val;
        }

        public static <U extends Comparable<U>, V extends Comparable<V>> Pair<U, V> instanceOf(U _1, V _2) {
            return new Pair<U, V>(_1, _2);
        }

        @Override
        public String toString() {
            return _1 + " " + _2;
        }

        @Override
        public int hashCode() {
            int res = 17;
            res = res * 31 + _1.hashCode();
            res = res * 31 + _2.hashCode();
            return res;
        }

        @Override
        public int compareTo(Pair<U, V> that) {
            int res = this._1.compareTo(that._1);
            if (res < 0 || res > 0)
                return res;
            else
                return this._2.compareTo(that._2);
        }

        @Override
        public boolean equals(Object obj) {
            if (this == obj)
                return true;
            if (!(obj instanceof Pair))
                return false;
            Pair<?, ?> that = (Pair<?, ?>) obj;
            return _1.equals(that._1) && _2.equals(that._2);
        }
    }

    /** Class for buffered reading int and double values */
    static class Reader {
        static BufferedReader reader;
        static StringTokenizer tokenizer;

        /** call this method to initialize reader for InputStream */
        static void init(InputStream input) {
            reader = new BufferedReader(new InputStreamReader(input));
            tokenizer = new StringTokenizer("");
        }

        /** get next word */
        static String next() throws IOException {
            while (!tokenizer.hasMoreTokens()) {
                // TODO add check for eof if necessary
                tokenizer = new StringTokenizer(reader.readLine());
            }
            return tokenizer.nextToken();
        }

        static int nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        static double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
    }

    static class ArrayUtil {
        static void swap(int[] a, int i, int j) {
            int tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }

        static void swap(long[] a, int i, int j) {
            long tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }

        static void swap(double[] a, int i, int j) {
            double tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }

        static void swap(char[] a, int i, int j) {
            char tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }

        static void swap(boolean[] a, int i, int j) {
            boolean tmp = a[i];
            a[i] = a[j];
            a[j] = tmp;
        }

        static void reverse(int[] a, int i, int j) {
            for (; i < j; i++, j--)
                swap(a, i, j);
        }

        static void reverse(long[] a, int i, int j) {
            for (; i < j; i++, j--)
                swap(a, i, j);
        }

        static void reverse(double[] a, int i, int j) {
            for (; i < j; i++, j--)
                swap(a, i, j);
        }

        static void reverse(char[] a, int i, int j) {
            for (; i < j; i++, j--)
                swap(a, i, j);
        }

        static void reverse(boolean[] a, int i, int j) {
            for (; i < j; i++, j--)
                swap(a, i, j);
        }

        static long sum(int[] a) {
            int sum = 0;
            for (int i : a)
                sum += i;
            return sum;
        }

        static long sum(long[] a) {
            long sum = 0;
            for (long i : a)
                sum += i;
            return sum;
        }

        static double sum(double[] a) {
            double sum = 0;
            for (double i : a)
                sum += i;
            return sum;
        }

        static int max(int[] a) {
            int max = Integer.MIN_VALUE;
            for (int i : a)
                if (i > max)
                    max = i;
            return max;
        }

        static int min(int[] a) {
            int min = Integer.MAX_VALUE;
            for (int i : a)
                if (i < min)
                    min = i;
            return min;
        }

        static long max(long[] a) {
            long max = Long.MIN_VALUE;
            for (long i : a)
                if (i > max)
                    max = i;
            return max;
        }

        static long min(long[] a) {
            long min = Long.MAX_VALUE;
            for (long i : a)
                if (i < min)
                    min = i;
            return min;
        }
    }
}
