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Given N, find the largest number X not greater than N such that X is prime friendly. A number is called prime friendly when it satisfies both of the following conditions:

1. The number itself is a prime.
2. All its digits in base 10 are also primes. In other words, the number consists of only the digits 2, 3, 5, 7.

Input

The first line contains an integer T, denoting the number of test cases. Each test case contains a single positive integer N.

Constraints

Output

For each test case, output the case number followed by the largest number X not greater than N. Please refer to the sample input/output section for more clarity of the format.

Example

Input:
5
10
100
1000
10000
100000


Output:
Case 1: 7
Case 2: 73
Case 3: 773
Case 4: 7757
Case 5: 77773