Even SplitGiven a number N, check if you can split the number into 2 non-zero even parts.InputFirst line of input contains T - number of test cases. Its followed by T lines, each line contains a single integer N.OutputFor each test case, print "Yes" if you can split the number into 2 non-zero even parts, "No" otherwise, separated by new line.Constraints1 <= T <= 1050 <= N <= 1018ExampleInput281OutputYesNoExplanationTest Case 1You can split 8 as 4,4 or 6,2.Test Case 2You cannot split 1 into 2 even parts.
Question
Even SplitGiven a number N, check if you can split the number into 2 non-zero even parts.InputFirst line of input contains T - number of test cases. Its followed by T lines, each line contains a single integer N.OutputFor each test case, print "Yes" if you can split the number into 2 non-zero even parts, "No" otherwise, separated by new line.Constraints1 <= T <= 1050 <= N <= 1018ExampleInput281OutputYesNoExplanationTest Case 1You can split 8 as 4,4 or 6,2.Test Case 2You cannot split 1 into 2 even parts.
Solution
The problem is asking to determine if a given number can be split into two non-zero even parts.
Here are the steps to solve this problem:
- Read the number of test cases, T.
- For each test case, do the following: a. Read the number, N. b. Check if the number is greater than or equal to 4 and even. If it is, print "Yes". This is because the smallest even number that can be split into two non-zero even parts is 4 (2 and 2). Any even number greater than 4 can also be split into two non-zero even parts (for example, 6 can be split into 2 and 4, 8 can be split into 2 and 6, and so on). c. If the number is less than 4 or odd, print "No". This is because an odd number or an even number less than 4 cannot be split into two non-zero even parts.
This solution works because any even number greater than or equal to 4 can be split into two non-zero even parts. For example, the number 8 can be split into 4 and 4 or 6 and 2. However, an odd number or an even number less than 4 cannot be split into two non-zero even parts. For example, the number 1 cannot be split into two non-zero even parts.
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