Write a function to find the longest common prefix string amongst an array of strings. If there is no common prefix, return an empty string "".

Example 1: Input: ["flower","flow","flight"] Output: "fl"

Example 2: Input: ["dog","racecar","car"] Output: "" Explanation: There is no common prefix among the input strings.

Input Format

flower flow flight

Constraints

maximum length of string is 256 characters

Output Format

fl

Sample Input 0

flower flow flight 

Sample Output 0

fl