Game Winner Determination

You are given a game with \( n \) players and \( m \) rounds. Each player scores a certain number of points in every round. The overall score for a player is the sum of points scored in all rounds:

\( T_i = \sum_{j=1}^{m} s_{ij} \)

Additionally, the best performance in a single round for a player is defined as:

\( M_i = \max_{1 \le j \le m} \{ s_{ij} \} \)

The winner is determined by the following rules:

1. The player with the highest total score \( T_i \) wins.
2. If there is a tie in total score, then the player with the highest single round score \( M_i \) wins.
3. If there is still a tie, the player with the smallest index (0-indexed) wins.

Your task is to determine the index of the winning player.

inputFormat

The first line of input contains two integers \( n \) and \( m \) separated by a space, where \( n \) is the number of players and \( m \) is the number of rounds.

The following \( n \) lines each contain \( m \) integers separated by spaces, representing the scores of a player in each round.

outputFormat

Output a single integer representing the 0-indexed index of the winning player.

## sample

3 3
10 20 30
20 30 10
30 10 20

0