Given a floating point number X and another 6 floating point numbers a, b, c, d, e, f. Find how many numbers from the 6 numbers are smaller than X and how many of them are bigger than X. There will not be any of the 6 numbers equal to X.

The output should be two lines, see the examples for the output format.

Example 1

Input

5.5
1.12 12.4 18.9 9.0 5.25 4.77

Output

3 numbers are smaller than 5.5
3 numbers are bigger than 5.5

Explanation of Input and Output

1.12, 5.25 and 4.77 are smaller than 5.5
12.4, 18.9 and 9.0 are bigger than 5.5

Example 2

Input

10.1
15.2 2.1 16.7 13.9 14.2 20.2

Output

1 numbers are smaller than 10.1
5 numbers are bigger than 10.1

Explanation of Input and Output

only 2.1 is smaller than 10.1
15.2, 16.7, 13.9, 14.2 and 20.2 are bigger than 10.1

Example 3

Input

99.9
1.2 12.5 105.5 200.2 55.5 44.2

Output

4 numbers are smaller than 99.9
2 numbers are bigger than 99.9

Explanation of Input and Output

1.2, 12.5, 55.5 and 44.2 are smaller than 99.9
105.5 and 200.2 are bigger than 99.99