CF1176C Lose it!
Description
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 $ \frac{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 Format
The first line of the input contains one integer $ n $ ( $ 1 \le n \le 5 \cdot 10^5 $ ) — the number of elements in $ a $ .
The second line of the input contains $ n $ integers $ a_1, a_2, \dots, 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 Format
Print one integer — the minimum number of elements you have to remove to obtain a good array.