Find the saddle point of a matrix (an element that is strictly minimum in its row and maximum in its column).

Difficulty: Medium

Phase: 6 · Mixed Logical Challenges

XP Reward: 20 XP

Topics: Mixed Logical Challenges, Medium

Supported Languages: Python, JavaScript, C, C++, Java

Problem Description

Given R and C followed by R x C matrix, find saddle point (minimum in its row, maximum in its column). If exists print value, else '-1'. Input Format: Read input from standard input (stdin). Output Format: Print the result to standard output (stdout).

Constraints

-10^9 <= N <= 10^9

Examples

Example 1

Input: 3 3 1 2 3 4 5 6 7 8 9

Output: 7

Explanation: Sample execution for input 3 3 1 2 3 4 5 6 7 8 9