Three Palindromes

Accepts: 26
Submissions: 619
Time Limit: 2000/1000 MS (Java/Others)
Memory Limit: 65536/65536 K (Java/Others)
Problem Description
Can we divided a given string S into three nonempty palindromes?
Input
First line contains a single integer $T \leq 20$ which denotes the number of test cases. For each test case , there is an single line contains a string S which only consist of lowercase English letters.$1\leq |s| \leq 20000$
Output
For each case, output the "Yes" or "No" in a single line.
Sample Input
2
abc
abaadada
Sample Output
Yes
No