Rating changes for last rounds are temporarily rolled back. They will be returned soon.
×

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
D. Minimax Problem

time limit per test

5 secondsmemory limit per test

512 megabytesinput

standard inputoutput

standard outputYou are given $$$n$$$ arrays $$$a_1$$$, $$$a_2$$$, ..., $$$a_n$$$; each array consists of exactly $$$m$$$ integers. We denote the $$$y$$$-th element of the $$$x$$$-th array as $$$a_{x, y}$$$.

You have to choose two arrays $$$a_i$$$ and $$$a_j$$$ ($$$1 \le i, j \le n$$$, it is possible that $$$i = j$$$). After that, you will obtain a new array $$$b$$$ consisting of $$$m$$$ integers, such that for every $$$k \in [1, m]$$$ $$$b_k = \max(a_{i, k}, a_{j, k})$$$.

Your goal is to choose $$$i$$$ and $$$j$$$ so that the value of $$$\min \limits_{k = 1}^{m} b_k$$$ is maximum possible.

Input

The first line contains two integers $$$n$$$ and $$$m$$$ ($$$1 \le n \le 3 \cdot 10^5$$$, $$$1 \le m \le 8$$$) — the number of arrays and the number of elements in each array, respectively.

Then $$$n$$$ lines follow, the $$$x$$$-th line contains the array $$$a_x$$$ represented by $$$m$$$ integers $$$a_{x, 1}$$$, $$$a_{x, 2}$$$, ..., $$$a_{x, m}$$$ ($$$0 \le a_{x, y} \le 10^9$$$).

Output

Print two integers $$$i$$$ and $$$j$$$ ($$$1 \le i, j \le n$$$, it is possible that $$$i = j$$$) — the indices of the two arrays you have to choose so that the value of $$$\min \limits_{k = 1}^{m} b_k$$$ is maximum possible. If there are multiple answers, print any of them.

Example

Input

6 5 5 0 3 1 2 1 8 9 1 3 1 2 3 4 5 9 1 0 3 7 2 3 0 6 3 6 4 1 7 0

Output

1 5

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: May/21/2022 01:35:55 (i2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|