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Сборники > C. T. 2011 > задача:


Making Change

Задачи сборника

• A to the power of B
• T-shirts
• GCF
• Maximum Sum
• Making Change
• Best Grass
• Heap
• Bfs
• Chess
• Big Dance
• Binary transformations
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Лимит времени 1000/1000/4000/4000 мс. Лимит памяти 65000/65000/65000/65000 Кб.

Problem description

Poor Bessie has taken a job in the convenience store located just over the border in Slobbovia. Slobbovians use different coinages than the USA; their coin values change day-by-day!

Help Bessie make optimal change for Slobbovian shoppers. You will need to create C (1 <= C <= 1000) cents of change using N (1 <= N <= 10) coins of various values. All test cases will be solvable using the supplied coins.

If 5 coins of values 50, 25, 10, 5, and 1 were available, Bessie would make optimum change (minimal coins) of 93 cents by using 1 x 50, 1 x 25, 1 x 10, 1 x 5, and 3 x 1 coins (a total of 7 coins).

How hard could it be? The last test case will be challenging.

Input

* Line 1: Two space-separate integers: C and N

* Lines 2..N+1: Each line contains a single unique integer that is a coin value that can be used to create change

Output


* Line 1: A single integer that is the minimum number of coins to create C cents

Example

stdin stdout

93 5
25
50
10
1
5

7

Для отправки решений необходимо выполнить вход.

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