Transpose an N \times N matrix in-place without allocating a new matrix.

Difficulty: Hard

Phase: 6 · Mixed Logical Challenges

XP Reward: 30 XP

Topics: Mixed Logical Challenges, Hard

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

Problem Description

Given N followed by N x N matrix, transpose in-place and print. 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: 2 1 2 3 4

Output: 1 3 2 4

Explanation: Sample execution for input 2 1 2 3 4