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Fancy Phone Numbers

Limits: 1s, 256 MB

A phone number is Fancy if any one of the following conditions is satisfied:

  1. At least 4 consecutive digits in the given phone number are sequentially increasing. 9084567091 and 9012346709 are fancy but 9845680210 is not.

  2. At least 3 consecutive digits in the given phone number are same. Example: 9001118127.

  3. At least 2 consecutive digits in the given phone number are same, and this occurs in at least two non-overlapping places. For example: 1982243566 and 1982243522.

  4. if the frequency of any digit is at least 5. Example: 9897952399.

You are given some valid phone numbers, you need to find whether the given numbers are Fancy or not. A valid phone number is always 10 digits long and does not contain leading zeros.

Input

Input starts with an integer T (T ≤ 248832), denoting the number of test cases. Each case contains a valid phone number.

Output

For each test case, print Fancy if the phone number is Fancy, otherwise print Not Fancy. Please output the result of each test case on a separate line.

Samples

InputOutput
7
9084567091
9012346709
9845680210
9001118127
9897952399
1982243522
1982243566
Fancy
Fancy
Not Fancy
Fancy
Fancy
Fancy
Fancy

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