Frequency Distribution of Height

The height of the student was measured at the medical examination. Create a program that takes height data as input, creates a frequency distribution, and outputs it. The frequency distribution is divided into 6 classes in 5 cm increments, and the number of people is indicated by * (half-width asterisk). However, if the frequency (number of people) of that class is 0, output only the class heading.

Input

The input is given in the following format:

n h1 h2 :: hn

The number of students n (1 ≤ n ≤ 40) is given to the first line, and the real number hi (150.0 ≤ hi ≤ 190.0, up to the first decimal place) representing the height of the i-th person is given to each line after the second line. ..

Output

Display the frequency distribution in the following format.

Line 1 Heading "1:" followed by * for people less than 165.0 cm * 2nd line Heading "2:" followed by people 165.0 cm or more and less than 170.0 cm * 3rd line Heading "3:" followed by the number of people from 170.0 cm or more to less than 175.0 cm * 4th line Heading "4:" followed by the number of people from 175.0 cm to less than 180.0 cm * Line 5 Heading "5:" followed by the number of people between 180.0 cm and 185.0 cm * Line 6 Heading "6:" followed by * for people over 185.0 cm *

Examples

Input

4 180.3 168.2 165.5 175.3

Output

1: 2:** 3: 4:* 5:* 6:

Input

21 179.4 171.5 156.6 173.0 169.4 181.2 172.4 170.0 163.6 165.9 173.5 168.2 162.5 172.0 175.1 172.3 167.5 175.9 186.2 168.0 178.6

Output

1:*** 2:***** 3:******* 4:**** 5:* 6:*

inputFormat

input, creates a frequency distribution, and

outputFormat

outputs it. The frequency distribution is divided into 6 classes in 5 cm increments, and the number of people is indicated by * (half-width asterisk). However, if the frequency (number of people) of that class is 0, output only the class heading.

Input

The input is given in the following format:

n h1 h2 :: hn

The number of students n (1 ≤ n ≤ 40) is given to the first line, and the real number hi (150.0 ≤ hi ≤ 190.0, up to the first decimal place) representing the height of the i-th person is given to each line after the second line. ..

Output

Display the frequency distribution in the following format.

Line 1 Heading "1:" followed by * for people less than 165.0 cm * 2nd line Heading "2:" followed by people 165.0 cm or more and less than 170.0 cm * 3rd line Heading "3:" followed by the number of people from 170.0 cm or more to less than 175.0 cm * 4th line Heading "4:" followed by the number of people from 175.0 cm to less than 180.0 cm * Line 5 Heading "5:" followed by the number of people between 180.0 cm and 185.0 cm * Line 6 Heading "6:" followed by * for people over 185.0 cm *

Examples

Input

4 180.3 168.2 165.5 175.3

Output

1: 2:** 3: 4:* 5:* 6:

Input

21 179.4 171.5 156.6 173.0 169.4 181.2 172.4 170.0 163.6 165.9 173.5 168.2 162.5 172.0 175.1 172.3 167.5 175.9 186.2 168.0 178.6

Output

1:*** 2:***** 3:******* 4:**** 5:* 6:*

样例

4
180.3
168.2
165.5
175.3

1:
2:**
3:
4:*
5:*
6:

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