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.*;
import java.util.*;
import java.util.function.Function;
import java.util.stream.Collector;
import java.util.stream.Collectors;
import java.util.stream.IntStream;
import java.util.stream.Stream;


public class Main implements Runnable {
    static final int MOD = (int) 1e9 + 7;
    static final int MI = (int) 1e9;
    static final long ML = (long) 1e18;
    static final Reader in = new Reader();
    static final PrintWriter out = new PrintWriter(System.out);
    StringBuilder answer = new StringBuilder();

    public static void main(String[] args) {
        new Thread(null, new Main(), "persefone", 1 << 28).start();
    }

    @Override
    public void run() {
        solve();
        printf();
        flush();
    }


    void solve() {
        int n = in.nextInt();
        int m = in.nextInt();
        int k = in.nextInt();
        int[][] details = new int[m][n];
        for (int j = 0; j < n; j++) {
            for (int i = 0; i < m; i++) {
                details[i][j] = in.nextInt();
            }
        }

        SparseTableMax[] rmqMaxs = new SparseTableMax[m];
        for (int i = 0; i < m; i++) {
            rmqMaxs[i] = new SparseTableMax(details[i], n);
        }
        int[] shots = new int[m];
        int ans = 0;
        for (int j = 0; j < n; j++) {
            int l = j, r = n, mi = 0;
            while (l < r) {
                mi = l + r >> 1;
                int total = 0;
                int[] curShots = new int[m];
                for (int i = 0; i < m; i++) {
                    total += curShots[i] = rmqMaxs[i].getMax(j, mi);
                }
                if (total <= k) {
                    if (mi - j + 1 > ans) {
                        ans = mi - j + 1;
                        shots = curShots;
                    }
                    l = mi + 1;
                } else {
                    r = mi;
                }
            }
            if (ans == 0) {
                int total = 0;
                int[] curShots = new int[m];
                for (int i = 0; i < m; i++) {
                    total += curShots[i] = details[i][j];
                }
                if (total <= k) {
                    ans = 1;
                    shots = curShots;
                }
            }
        }
        printf(shots);
    }

    static class SparseTableMax {
        private int n, blocks;
        private int[] log;
        private int[] data;
        private int[][] max;

        public SparseTableMax(int[] data, int n) {
            this.n = n;
            this.data = data;
            this.log = new int[n + 1];
            for (int i = 2; i <= n; i++) {
                log[i] = log[i >> 1] + 1;
            }
            this.blocks = log[n];
            this.max = new int[n][blocks + 1];
            for (int i = 0; i < n; i++) {
                max[i][0] = data[i];
            }
            build();
        }

        int calc(int a, int b) {
            return Math.max(a, b);
        }

        void build() {
            for (int j = 1; j <= blocks; j++) {
                for (int i = 0; i + (1 << j) <= n; i++) {
                    max[i][j] = calc(max[i][j - 1], max[i + (1 << j - 1)][j - 1]);
                }
            }
        }

        int getMax(int l, int r) {
            int k = log[r - l + 1];
            return calc(max[l][k], max[r - (1 << k) + 1][k]);
        }
    }

    static class DSU {
        protected int vertex, countCC;
        protected int[] id, size;

        public DSU(int vertex) {
            this.vertex = vertex;
            this.id = IntStream.range(0, vertex).toArray();
            this.size = new int[vertex];
            Arrays.fill(size, 1);
            countCC = vertex;
        }

        int find(int i) {
            return id[i] == i ? i : (id[i] = find(id[i]));
        }

        void unite(int i, int j) {
            int x = find(i);
            int y = find(j);
            if (x == y) return;
            countCC--;
            if (size[x] > size[y]) {
                id[y] = id[x];
                size[x] += size[y];
                size[y] = 0;
                return;
            }
            id[x] = id[y];
            size[y] += size[x];
            size[x] = 0;
        }

        boolean isConnected(int i, int j) {
            return find(i) == find(j);
        }

        int connectedComponents() {
            return countCC;
        }
    }


    void printf() {
        out.print(answer);
    }

    void close() {
        out.close();
    }

    void flush() {
        out.flush();
    }

    void printf(Stream<?> str) {
        str.forEach(o -> add(o, " "));
        add("\n");
    }


    void printf(Object... obj) {
        printf(false, obj);
    }

    void printfWithDescription(Object... obj) {
        printf(true, obj);
    }


    private void printf(boolean b, Object... obj) {

        if (obj.length > 1) {
            for (int i = 0; i < obj.length; i++) {
                if (b) add(obj[i].getClass().getSimpleName(), " - ");
                if (obj[i] instanceof Collection<?>) {
                    printf((Collection<?>) obj[i]);
                } else if (obj[i] instanceof int[][]) {
                    printf((int[][]) obj[i]);
                } else if (obj[i] instanceof long[][]) {
                    printf((long[][]) obj[i]);
                } else if (obj[i] instanceof double[][]) {
                    printf((double[][]) obj[i]);
                } else printf(obj[i]);
            }
            return;
        }

        if (b) add(obj[0].getClass().getSimpleName(), " - ");
        printf(obj[0]);
    }

    void printf(Object o) {
        if (o instanceof int[])
            printf(Arrays.stream((int[]) o).boxed());
        else if (o instanceof char[])
            printf(new String((char[]) o));
        else if (o instanceof long[])
            printf(Arrays.stream((long[]) o).boxed());
        else if (o instanceof double[])
            printf(Arrays.stream((double[]) o).boxed());
        else if (o instanceof boolean[]) {
            for (boolean b : (boolean[]) o) add(b, " ");
            add("\n");
        } else
            add(o, "\n");
    }

    void printf(int[]... obj) {
        for (int i = 0; i < obj.length; i++) printf(obj[i]);
    }

    void printf(long[]... obj) {
        for (int i = 0; i < obj.length; i++) printf(obj[i]);
    }

    void printf(double[]... obj) {
        for (int i = 0; i < obj.length; i++) printf(obj[i]);
    }

    void printf(boolean[]... obj) {
        for (int i = 0; i < obj.length; i++) printf(obj[i]);
    }

    void printf(Collection<?> col) {
        printf(col.stream());
    }

    <T, K> void add(T t, K k) {
        if (t instanceof Collection<?>) {
            ((Collection<?>) t).forEach(i -> add(i, " "));
        } else if (t instanceof Object[]) {
            Arrays.stream((Object[]) t).forEach(i -> add(i, " "));
        } else
            add(t);
        add(k);
    }


    <T> void add(T t) {
        answer.append(t);
    }

    @SuppressWarnings("unchecked")
    <T extends Comparable<? super T>> T min(T... t) {
        if (t.length == 0)
            return null;
        T m = t[0];
        for (int i = 1; i < t.length; i++)
            if (t[i].compareTo(m) < 0)
                m = t[i];
        return m;
    }

    @SuppressWarnings("unchecked")
    <T extends Comparable<? super T>> T max(T... t) {
        if (t.length == 0)
            return null;
        T m = t[0];
        for (int i = 1; i < t.length; i++)
            if (t[i].compareTo(m) > 0)
                m = t[i];
        return m;
    }

    static class Pair<K extends Comparable<? super K>, V extends Comparable<? super V>>
            implements Comparable<Pair<K, V>> {
        private K k;
        private V v;

        Pair(K k, V v) {
            this.k = k;
            this.v = v;
        }

        @SuppressWarnings("unchecked")
        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || !(o instanceof Pair)) return false;
            Pair<K, V> p = (Pair<K, V>) o;
            return k.compareTo(p.k) == 0 && v.compareTo(p.v) == 0;
        }

        @Override
        public int hashCode() {
            int hash = 31;
            hash = hash * 89 + k.hashCode();
            hash = hash * 89 + v.hashCode();
            return hash;
        }

        @Override
        public int compareTo(Pair<K, V> pair) {
            return k.compareTo(pair.k) == 0 ? v.compareTo(pair.v) : k.compareTo(pair.k);
        }

        @Override
        public Pair<K, V> clone() {
            return new Pair<K, V>(this.k, this.v);
        }

        @Override
        public String toString() {
            return String.valueOf(k).concat(" ").concat(String.valueOf(v)).concat("\n");
        }
    }

    static class Reader {
        private BufferedReader br;
        private StringTokenizer st;

        Reader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }


        String next() {
            try {
                while (st == null || !st.hasMoreTokens()) {
                    st = new StringTokenizer(br.readLine());
                }
            } catch (IOException e) {
                e.printStackTrace();
            }
            return st.nextToken();
        }

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

        int[] nextIntArray(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextInt();
            return arr;
        }

        long nextLong() {
            return Long.parseLong(next());
        }

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

        String nextLine() {
            String s = "";
            try {
                s = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return s;
        }
    }
}

