A positive integer A is called a "palindrome number" if the reverse of the decimal representation is the same as the original one. For example 13231 is a palindrome number, but 13333 is not.

Given a number A (1 <= A <= 1e18), find the number of pairs (a, b) such that a and b are both palindrome numbers, and the sum of a and b is A.

If A is 391, there are 6 ways:

• 8 + 383 = 391
• 383 + 8 = 391
• 88 + 303 = 391
• 303 + 88 = 391
• 99 + 292 = 391
• 292 + 99 = 391

Input

The first Line contains the number of test cases T <= 10. Each test case contains a number A.

Output

Output the number of ways.

Example

Input:
1
391
Output:
6

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