Coins

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Mathematics
Problem

In HackerLand, they have a very strange monetary system. Each gold coin has an integer number 'N' written on it. A coin N can be split into any number of coins. For exapmple {11} can be split into {5,6} or {2,4,5} or any other possible way.

You are offered such a coin to take home. But your family does not like coins which have a prime number on it. Your task is to take home as few coins as possible without a prime number on it.

Input:

The first line of the input contains a single integer T denoting the number of test cases to follow. Each testcase is a single line with a number N. It is the number written on your coin. Constraints: 1 <= T <= 100 1 <= N <= 100,000

Output:

For each test case output a single line, containing the minimum number of coins.

Time Limit: 5
Memory Limit: 256
Source Limit:
Explanation

Test case 1: {11} -> {1,10}. So, you can take home a possible minimum of 2 coins. NOTE: 1 is non-prime.

Test case 2: {12345} can be taken home without splitting. Similar for the rest of the test cases.

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