#D3313. Lose it!

    ID: 2751 Type: Default 2000ms 256MiB

Lose it!

Lose it!

You are given an array a consisting of n integers. Each a_i is one of the six following numbers: 4, 8, 15, 16, 23, 42.

Your task is to remove the minimum number of elements to make this array good.

An array of length k is called good if k is divisible by 6 and it is possible to split it into k/6 subsequences 4, 8, 15, 16, 23, 42.

Examples of good arrays:

  • [4, 8, 15, 16, 23, 42] (the whole array is a required sequence);
  • [4, 8, 4, 15, 16, 8, 23, 15, 16, 42, 23, 42] (the first sequence is formed from first, second, fourth, fifth, seventh and tenth elements and the second one is formed from remaining elements);
  • [] (the empty array is good).

Examples of bad arrays:

  • [4, 8, 15, 16, 42, 23] (the order of elements should be exactly 4, 8, 15, 16, 23, 42);
  • [4, 8, 15, 16, 23, 42, 4] (the length of the array is not divisible by 6);
  • [4, 8, 15, 16, 23, 42, 4, 8, 15, 16, 23, 23] (the first sequence can be formed from first six elements but the remaining array cannot form the required sequence).

Input

The first line of the input contains one integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the number of elements in a.

The second line of the input contains n integers a_1, a_2, ..., a_n (each a_i is one of the following numbers: 4, 8, 15, 16, 23, 42), where a_i is the i-th element of a.

Output

Print one integer — the minimum number of elements you have to remove to obtain a good array.

Examples

Input

5 4 8 15 16 23

Output

5

Input

12 4 8 4 15 16 8 23 15 16 42 23 42

Output

0

Input

15 4 8 4 8 15 16 8 16 23 15 16 4 42 23 42

Output

3

inputFormat

Input

The first line of the input contains one integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the number of elements in a.

The second line of the input contains n integers a_1, a_2, ..., a_n (each a_i is one of the following numbers: 4, 8, 15, 16, 23, 42), where a_i is the i-th element of a.

outputFormat

Output

Print one integer — the minimum number of elements you have to remove to obtain a good array.

Examples

Input

5 4 8 15 16 23

Output

5

Input

12 4 8 4 15 16 8 23 15 16 42 23 42

Output

0

Input

15 4 8 4 8 15 16 8 16 23 15 16 4 42 23 42

Output

3

样例

5
4 8 15 16 23
5

</p>