Twin Prime

Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs.

In this problem, we call the greater number of a twin prime "size of the twin prime."

Your task is to create a program which reads an integer n and prints a twin prime which has the maximum size among twin primes less than or equals to n

You may assume that 5 ≤ n ≤ 10000.

Input

The input is a sequence of datasets. The end of the input is indicated by a line containing one zero. Each dataset is formatted as follows:

n (integer)

Output

For each dataset, print the twin prime p and q (p < q). p and q should be separated by a single space.

Example

Input

12 100 200 300 0

Output

5 7 71 73 197 199 281 283

inputFormat

Input

The input is a sequence of datasets. The end of the input is indicated by a line containing one zero. Each dataset is formatted as follows:

n (integer)

outputFormat

Output

For each dataset, print the twin prime p and q (p < q). p and q should be separated by a single space.

Example

Input

12 100 200 300 0

Output

5 7 71 73 197 199 281 283

样例

12
100
200
300
0

5 7
71 73
197 199
281 283

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