#D3313. Lose it!
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
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