2132 Problem D Repair the Wall

問題 D: Repair the Wall

時間限制: 1 Sec  內存限制: 32 MB

題目描述

Long time ago , Kitty lived in a small village. The air was fresh and the scenery was very beautiful. The only thing that troubled her is the typhoon.

When the typhoon came, everything is terrible. It kept blowing and raining for a long time. And what made the situation worse was that all of Kitty's walls were made of wood.

One day, Kitty found that there was a crack in the wall. The shape of the crack is 
a rectangle with the size of 1×L (in inch). Luckly Kitty got N blocks and a saw(鋸子) from her neighbors.
The shape of the blocks were rectangle too, and the width of all blocks were 1 inch. So, with the help of saw, Kitty could cut down some of the blocks(of course she could use it directly without cutting) and put them in the crack, and the wall may be repaired perfectly, without any gap.

Now, Kitty knew the size of each blocks, and wanted to use as fewer as possible of the blocks to repair the wall, could you help her ?

輸入

The problem contains many test cases, please process to the end of file( EOF ).
Each test case contains two lines.
In the first line, there are two integers L(0<L<1000000000) and N(0<=N<600) which
mentioned above.
In the second line, there are N positive integers. The ith integer Ai(0<Ai<1000000000 ) means that the ith block has the size of 1×Ai (in inch).

輸出

For each test case , print an integer which represents the minimal number of blocks are needed.
If Kitty could not repair the wall, just print "impossible" instead.

樣例輸入

2 2
12 11 
14 3
27 11 4 
109 5
38 15 6 21 32 
5 3
1 1 1

樣例輸出

1
1
5
impossible

經驗總結

題意爲，給出一個長度L，給N塊不同長度的石頭，求能補上L長度城牆最少需要多少個石頭。解法很簡單，將石頭長度從大到小排序，依次修補，知道補完輸出石頭數目，或者到最後都沒補完，就輸出impossible~~

AC代碼

#include <cstdio>
#include <algorithm>
using namespace std;
bool cmp(int a,int b)
{
	return a>b;
}
int main()
{
	int length,n,block[610];
	while(~scanf("%d %d",&length,&n))
	{
		for(int i=0;i<n;i++)
			scanf("%d",&block[i]);
		sort(block,block+n,cmp);
		int num=0,flag=0;
		for(int i=0;i<n;i++)
		{
			if(length<=block[i])
			{
				num++;
				flag=1;
				printf("%d\n",num);
				break;
			}
			else
			{
				length-=block[i];
				num++;
			}
		}
		if(flag==0)
			printf("impossible\n");
	}
	return 0;
}