Problem: Bob has a permutation of integers from 1 to n. Denote this permutation as p. The i-th element of p will be denoted as pi. For all pairs of distinct integers i, j between 1 and n, he wrote the number ai, j = min(pi, pj). He writes ai, i = 0 for all integer i from 1 to n.

Bob gave you all the values of ai, j that he wrote down. Your job is to reconstruct any permutation that could have generated these values. The input will be formed so that it is guaranteed that there is at least one solution that is consistent with the information given.

Input

The first line of the input will contain a single integer n (2 ≤ n ≤ 50).

The next n lines will contain the values of ai, j. The j-th number on the i-th line will represent ai, j. The i-th number on the i-th line will be 0. It's guaranteed that ai, j = aj, i and there is at least one solution consistent with the information given.

Output

Print n space separated integers, which represents a permutation that could have generated these values. If there are multiple possible solutions, print any of them.

Examples

Input

2
0 1
1 0


Output

2 1


Input

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


Output

2 5 4 1 3

Note

In the first case, the answer can be {1, 2} or {2, 1}.

In the second case, another possible answer is {2, 4, 5, 1, 3}.

Solution (in JAVA):

Solution:
import sun.reflect.generics.tree.Tree;

import java.io.*;
import java.util.*;

import static java.lang.Math.*;

public class Main {
    FastScanner in;
    PrintWriter out;

    static final String FILE = "";

    int n;
    int ms[][];
    TreeMap<Integer, Integer> map;
    boolean used[];
    int kz;

    int getMax() {
        int maxi = 0, val = 0;
        for (Map.Entry<Integer, Integer> entry : map.entrySet()) {
            if (entry.getValue() > maxi) {
                maxi = entry.getValue();
                val = entry.getKey();
            }
        }
        kz = maxi;
        return val;
    }

    int getIndex(int val) {
        int maxi = 0, kz = 0;
        for (int i = 0; i < n; i++) {
            if (used[i]) continue;
            int curr = 0;
            for (int z = 0; z < n; z++)
                if (ms[z][i] == val) {
                    curr++;
                }
            for (int z = 0; z < n; z++)
                if (ms[i][z] == val) {
                    curr++;
                }
            if (curr > maxi) {
                maxi = curr;
                kz = i;
            }
        }
        used[kz] = true;
        return kz;
    }

    public void solve() {
        n = in.nextInt();
        ms = new int[n][n];
        used = new boolean[n];
        int ans[] = new int[n];
        Arrays.fill(ans, n);
        map = new TreeMap<>();
        for (int i = 0; i < n; i++) {
            for (int z = 0; z < n; z++) {
                ms[i][z] = in.nextInt();
                if (i != z)
                    map.put(ms[i][z], map.getOrDefault(ms[i][z], 0) + 1);
            }
        }

        for (int i = 0; i < n - 1; i++) {
            int val = getMax();
            int index = getIndex(val);
            ans[index] = val;
            map.put(val, map.get(val) - 2 * (n - i - 1));
        }

        for (int i = 0; i < n; i++) {
            out.print(ans[i] + " ");
        }
    }

    public void run() {
        if (FILE.equals("")) {
            in = new FastScanner(System.in);
            out = new PrintWriter(System.out);
        } else {
            try {
                in = new FastScanner(new FileInputStream(FILE +
                        ".in"));
                out = new PrintWriter(new FileOutputStream(FILE +
                        ".out"));
            } catch (FileNotFoundException e) {
                e.printStackTrace();
            }
        }
        solve();
        out.close();
    }

    public static void main(String[] args) {
        (new Main()).run();
    }

    class FastScanner {
        BufferedReader br;
        StringTokenizer st;

        public FastScanner(InputStream is) {
            br = new BufferedReader(new InputStreamReader(is));
        }

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

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

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

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

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

        public float nextFloat() {
            return Float.parseFloat(next());
        }
    }

    class Pair<A extends Comparable<A>, B extends Comparable<B>>
            implements Comparable<Pair<A, B>> {
        public A a;
        public B b;

        public Pair(A a, B b) {
            this.a = a;
            this.b = b;
        }

        @Override
        public int compareTo(Pair<A, B> o) {
            if (o == null || o.getClass() != getClass())
                return 1;
            int cmp = a.compareTo(o.a);
            if (cmp == 0)
                return b.compareTo(o.b);
            return cmp;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;

            Pair<?, ?> pair = (Pair<?, ?>) o;

            if (a != null ? !a.equals(pair.a) : pair.a != null) return
                    false;
            return !(b != null ? !b.equals(pair.b) : pair.b != null);
        }
    }

    class PairInt extends Pair<Integer, Integer> {
        public PairInt(Integer u, Integer v) {
            super(u, v);
        }
    }

    class PairLong extends Pair<Long, Long> {
        public PairLong(Long u, Long v) {
            super(u, v);
        }
    }

}