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 java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.InputStreamReader;
import java.io.FileNotFoundException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Arthur Petukhovsky petuhovskiy@yandex.ru
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskB solver = new TaskB();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskB {
        public void solve(int testNumber, FastScanner in, PrintWriter out) {
            int n = in.nextInt();
            boolean has = false;
            for (int i = 0; i < n; i++) {
                int now = 0;
                for (int j = 0; j < n; j++) {
                    now = Math.max(now, in.nextInt());
                }
                if (now == n - 1) {
                    if (has) now++;
                    else has = true;
                }
                out.print(now + " ");
            }
        }

    }

    static class FastScanner {
        final static int BUFFER_SIZE = 65536;
        BufferedReader br;
        char[] buf = new char[BUFFER_SIZE];
        int len = 0;
        int it = 0;
        boolean end = false;

        boolean delim(char c) {
            return c == ' ' || c == '\n' || c == '\r';
        }

        void fillBuffer() {
            try {
                len = br.read(buf);
            } catch (IOException e) {
                e.printStackTrace();
            }
        }

        void ensureBuffer() {
            if (it == len) {
                it = 0;
                fillBuffer();
                if (len == -1) end = true;
            }
        }

        void moveNext() {
            while (!end) {
                ensureBuffer();
                if (!delim(buf[it])) return;
                while (it < len && delim(buf[it])) it++;
            }
        }

        public int nextInt() {
            moveNext();
            if (buf[it] == '-') {
                it++;
                return -nextInt();
            }
            if (buf[it] == '+') {
                it++;
                return nextInt();
            }
            int result = 0;
            while (!end) {
                int l = it;
                while (it < len && !delim(buf[it])) {
                    result = (result * 10) + buf[it] - '0';
                    it++;
                }
                ensureBuffer();
                if (end || delim(buf[it])) break;
            }
            return result;
        }

        public FastScanner(String file) {
            try {
                br = new BufferedReader(new FileReader(file), BUFFER_SIZE);
            } catch (FileNotFoundException e) {
                e.printStackTrace();
            }
        }

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

    }
}