DWITE '07 R1 #4 - Stacks of Blocks

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Points: 5
Time limit: 2.0s
Memory limit: 64M

Problem type
DWITE Online Computer Programming Contest, October 2007, Problem 4

Some kids play with blocks, and build things by stacking different blocks on top of each other. Given a set of blocks and a target height, we want to find out if it's possible to construct a stack with an exact specified height.

The input will contain at least 3 lines, one positive integer value per line. The first line will contain an integer H, the target height for the stack. 0 \le H \le 100

The second line will contain an integer S, number of blocks in a set. 0 \le S \le 10

The next S lines will contain integers, one per line; 0 \le N \le 10; representing the height of blocks in the set.

The output file will contain a single integer value, a minimum number of blocks out of the supplied set, required to build a stack of the given height. If it is impossible to build the desired stack, output 0.

Sample Input 1

5
3
1
2
3

Sample Output 1

2

Sample Input 2

10
3
1
5
7

Sample Output 2

0

Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0) Problem Resource: DWITE


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